8. Amy has $30 to spend. She wants to buy pounds of lemons at $2 per pound, a box for $4, and 7 frozen dinners for $3 each Choose True or False for each statement. A She will not have enough money to buy everything O True O False 8 She will have $1 left over. O True O False C The total cost is $39. O True O False​

Answers

Answer 1

Answer:she will actually need 1 dollar because all of that would be 31 dollars.

Step-by-step explanation:

3 pounds of lemons= $6

1 box of rice= $4

7 frozen diners= $21

6+4=10

10+21=31


Related Questions

What is the range of the rational function

Answers

The range of the rational function in this problem is given as follows:

All real values. (fourth option).

How to obtain the domain and range of a function?

The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.

From the graph of the function given by the image presented at the end of the answer, it assumes all values of y, hence the range is all real values.

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The graph below shows the solution to which system of inequalities?
O A. x< 1 and yz x
OB. ys 1 and y> x
O C. x≤ 1 and y> x
OD. y< 1 and yz x
6

Answers

The system of inequalities shown in this problem is defined as follows:

d) y < 1 and y ≥ x.

How to obtain the system of inequalities?

The line in the image has an intercept of zero and slope of 1, hence it is given as follows:

y = x.

Points above the solid line are plotted, hence the first condition is:

y ≥ x.

The upper bound, represented by the dashed horizontal line, is y = 1, hence the second condition is:

y < 1.

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In ΔBCD,
B
D

BD
is extended through point D to point E,
m

C
D
E
=
(
9
x

12
)

m∠CDE=(9x−12)

,
m

B
C
D
=
(
2
x
+
3
)

m∠BCD=(2x+3)

, and
m

D
B
C
=
(
3
x
+
5
)

m∠DBC=(3x+5)

. Find
m

B
C
D
.
m∠BCD.

Answers

m∠BCD = 31.57° (approx). Hence, the answer of the angle is 31.57 degrees.

In the given diagram, BD is extended through point D to point E, m∠CDE = (9x - 12)°, m∠BCD = (2x + 3)°, and m∠DBC = (3x + 5)°. We need to find m∠BCD.

Use the Angle Sum Property of a Triangle.The Angle Sum Property of a Triangle states that the sum of all the angles in a triangle is equal to 180°.The angle sum of ΔBCD is:m∠BCD + m∠DBC + m∠CDE = 180°Substituting the given angles, we get:(2x + 3)° + (3x + 5)° + (9x - 12)° = 180°Simplifying the above expression, we get:14x - 4 = 180°14x = 180° + 4x = 184/14x = 92/7Find m∠BCD

       We know that m∠BCD = (2x + 3)°

       Substituting x = 92/7, we get:

       m∠BCD = (2 × 92/7 + 3)° = (184/7 + 3)° = 221/7°

       Therefore, m∠BCD = 31.57° (approx). Hence, the answer is 31.57.

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Why do we define
a curvature in terms of tha arc length?
i.e.
why do we put 's' into this definition?
(where s(t) is arc length function)

Answers

The inclusion of the arc length function in the definition of curvature provides a consistent and intrinsic measure of the rate of deviation from a straight line.

Incorporating arc length allows for the calculation of various geometric properties associated with curvature, such as the radius of curvature or the osculating circle.

The definition of curvature in terms of arc length is used to describe the rate at which a curve deviates from being a straight line. By incorporating the arc length function, denoted as 's(t)', into the definition, we can measure the curvature at different points along the curve.

Curvature, represented by 'k', is defined as the derivative of the unit tangent vector 'T' with respect to the arc length 's'. This definition has several advantages.

Firstly, it eliminates the dependency on the parametrization of the curve. Different parametrizations can yield the same curve, but their tangent vectors may differ. By using arc length as the parameter, we obtain an intrinsic measure of curvature that remains consistent regardless of the chosen parametrization.

Secondly, arc length provides a natural way to measure distance along the curve. By considering the derivative of the tangent vector with respect to arc length, we obtain a measure of how quickly the curve is turning per unit distance traveled.

Lastly, incorporating arc length allows for the calculation of various geometric properties associated with curvature, such as the radius of curvature or the osculating circle. These properties provide insights into the shape and behavior of the curve.

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A metalworker cuts out a large semicircle with a diameter of 28 centimeters.Then the metalworker is a smaller sine ait of the larger one and rives it. The der of the ticular pince that is removed a 14 centimeters. Find the distance wound the shape after the smaller circle is removed. Use 22/7​

Answers

The distance around the shape after the smaller semicircle is removed is 29 cm.The correct answer is option D.

To find the distance around the shape after the smaller semicircle is removed, we need to calculate the circumference of the larger semicircle and subtract the circumference of the smaller semicircle.

The circumference of a semicircle is given by the formula:

Circumference = π * radius + diameter/2

For the larger semicircle:

Radius = diameter/2 = 28/2 = 14 cm

Circumference of the larger semicircle = π * 14 + 28/2 = 22/7 * 14 + 14 = 44 + 14 = 58 cm

For the smaller semicircle:

Radius = diameter/2 = 14/2 = 7 cm

Circumference of the smaller semicircle = π * 7 + 14/2 = 22/7 * 7 + 7 = 22 + 7 = 29 cm

Therefore, the distance around the shape after the smaller semicircle is removed is:

58 cm - 29 cm = 29 cm

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The Probable question may be:
A metalworker cuts out a large semicircle with a diameter of 28 centimeters. Then the metalworker cuts a smaller semicircle out of the larger one and removes it. The diameter of the semicircular piece that is removed is 14 centimeters. What will be the distance around the shape after the smaller semicircle is removed? Use 22/7​ as an approximation for π.

A. 80cm

B. 82cm

C. 85cm

D. 86cm

Complete the sentence using the following information:
New Account Balance - $435.92
Payments/Credits - $68.50
New Purchases $118.49
Finance Charge=$3.70
The amount of the adjusted balance is
Y. given the following information:

Answers

The adjusted balance, considering the new account balance, payments/credits, new purchases, and finance charge, is $489.61.

To calculate the adjusted balance, we need to consider the new account balance, payments/credits, new purchases, and finance charges.

Starting with the new account balance of $435.92, we subtract the payments/credits of $68.50. This represents the amount that has been paid or credited to the account, reducing the balance.

Next, we add the new purchases of $118.49. These are additional charges made to the account, increasing the balance.

Finally, we add the finance charge of $3.70. This charge is typically applied as interest on the outstanding balance.

To calculate the adjusted balance, we can follow these steps:

Start with the new account balance: $435.92

Subtract the payments/credits: $435.92 - $68.50 = $367.42

Add the new purchases: $367.42 + $118.49 = $485.91

Add the finance charge: $485.91 + $3.70 = $489.61

Therefore, the amount of the adjusted balance is $489.61.

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express 132 base 6 as a number in base five​

Answers

The given number 132 from base 6 to base 10 by expanding its digits using powers of 6. The number 132 in base 6 is equal to 211 in base 5.

To express the number 132 in base 6 as a number in base 5, we need to convert the given number from base 6 to base 10 and then from base 10 to base 5.

In base 6, the digits range from 0 to 5. The positional values of the digits increase from right to left by powers of 6. Let's break down the given number 132 in base 6:

1 * 6^2 + 3 * 6^1 + 2 * 6^0

= 1 * 36 + 3 * 6 + 2 * 1

= 36 + 18 + 2

= 56 in base 10

Now, we have the number 56 in base 10. To convert it to base 5, we divide the number by 5 and record the remainders from right to left until the quotient becomes 0.

56 divided by 5 is 11 with a remainder of 1.

11 divided by 5 is 2 with a remainder of 1.

2 divided by 5 is 0 with a remainder of 2.

The remainders in reverse order give us 211 in base 5.

Therefore, the number 132 in base 6 is equal to 211 in base 5.

In summary, we converted the given number 132 from base 6 to base 10 by expanding its digits using powers of 6. Then, we divided the resulting number in base 10 by 5 to obtain the equivalent number in base 5 by recording the remainders. The final result is 211 in base 5.

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A sample of gas stored at ST has a volume of 3.56 L. The gas is heated to 400 K and has a pressure of 125 kPa. What is the volume of the gas after it is heated?

Answers

The volume of the gas after it is heated is approximately 0.0417 liters.

To find the volume of the gas after it is heated, we can use the combined gas law, which relates the initial and final conditions of a gas sample. The combined gas law is expressed as:

(P₁V₁) / T₁ = (P₂V₂) / T₂

Where:

P₁ and P₂ are the initial and final pressures of the gas (in kPa)

V₁ and V₂ are the initial and final volumes of the gas (in liters)

T₁ and T₂ are the initial and final temperatures of the gas (in Kelvin)

Given:

Initial volume (V₁) = 3.56 L

Initial temperature (T₁) = ST (which is typically 273.15 K)

Final temperature (T₂) = 400 K

Final pressure (P₂) = 125 kPa

Now we can plug these values into the combined gas law equation and solve for V₂:

(P₁V₁) / T₁ = (P₂V₂) / T₂

(1 * 3.56) / 273.15 = (125 * V₂) / 400

(3.56 / 273.15) = (125 * V₂) / 400

Cross-multiplying and solving for V₂:

3.56 * 400 = 273.15 * 125 * V₂

1424 = 34143.75 * V₂

V₂ = 1424 / 34143.75

V₂ ≈ 0.0417 L

As a result, the heated gas has a volume of approximately 0.0417 litres.

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what is the slope of the line that contains these points?

Answers

The slope remains constant and equal to 0.2 between all pairs of consecutive points, we can conclude that the slope of the line that contains all the given points is 0.2.

To calculate the slope of the line that contains the given points (-4, -3), (1, -2), (6, -1), and (11, 0), we can use the formula for slope, which is defined as the change in y divided by the change in x between any two points on the line.

Let's calculate the slope between the first two points (-4, -3) and (1, -2):

Slope = (change in y) / (change in x)

= (-2 - (-3)) / (1 - (-4))

= (-2 + 3) / (1 + 4)

= 1 / 5

= 0.2

Now, let's calculate the slope between the next two points (1, -2) and (6, -1):

Slope = (change in y) / (change in x)

= (-1 - (-2)) / (6 - 1)

= (-1 + 2) / (6 - 1)

= 1 / 5

= 0.2

Similarly, let's calculate the slope between the last two points (6, -1) and (11, 0):

Slope = (change in y) / (change in x)

= (0 - (-1)) / (11 - 6)

= (0 + 1) / (11 - 6)

= 1 / 5

= 0.2

Since the slope remains constant and equal to 0.2 between all pairs of consecutive points, we can conclude that the slope of the line that contains all the given points is 0.2.

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If the vertical height of the ramp is 4 feet, how long must the ramp (x) be?
Show all of your work. Round your answer to the nearest foot. (Picture is
not drawn to scale.

Answers

We will use trigonometry to find the length of the ramp (x). The opposite side of the triangle is the height (4 feet), and the adjacent side is the horizontal distance covered by the ramp (h).

To find h, we can use the tangent function:

tan(5 degrees) = 4 / h

Rearranging the equation to solve for h:

h = 4 / tan(5 degrees)

Using a calculator, we find that tan(5 degrees) ≈ 0.0874887. Plugging in this value:

h = 4 / 0.0874887 ≈ 45.74 feet

Therefore, the length of the ramp (x) is approximately 45.74 feet when the height is 4 feet and the angle is 5 degrees.

Find the area of quadrilateral QUAD, whose vertices are:
Q (-4, 3), U (3, 6), 1 (6, 3), and D (1, -4).

Answers

The area of quadrilateral QUAD is 2.5 square units.

To find the area of quadrilateral QUAD with vertices Q (-4, 3), U (3, 6), 1 (6, 3), and D (1, -4), we can use the Shoelace formula (also known as Gauss's area formula or the surveyor's formula).

The Shoelace formula states that the area of a polygon with vertices (x1, y1), (x2, y2), ..., (xn, yn) can be calculated as:

[tex]Area = 1/2 * |(x1y2 + x2y3 + ... + xny1) - (x2y1 + x3y2 + ... + x1yn)|[/tex]

Using this formula, we can calculate the area of quadrilateral QUAD as follows:

Area = [tex]1/2 * |(-46 + 33 + 6*(-4) + 13) - (33 + 6*(-4) + 1*(-4) + (-4)*3)|[/tex]

Simplifying the expression, we get:

[tex]Area = 1/2 * |(-24 + 9 - 24 + 3) - (9 - 24 - 4 - 12)|Area = 1/2 * |(-36) - (-31)|Area = 1/2 * |-36 + 31|Area = 1/2 * |-5|Area = 1/2 * 5Area = 5/2[/tex]

The area of quadrilateral QUAD is 2.5 square units.

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The area of quadrilateral QUAD is 17.5 square units.

The area of quadrilateral QUAD, we can use the Shoelace Formula, also known as the Gauss's Area Formula.

The formula states that if the coordinates of the vertices of a polygon are given in order, then the area of the polygon can be calculated using the following formula:

Area = 1/2 × |(x1y2 + x2y3 + ... + xn-1yn + xny1) - (y1x2 + y2x3 + ... + yn-1xn + ynx1)|

Let's apply this formula to find the area of quadrilateral QUAD:

Q (-4, 3)

U (3, 6)

A (6, 3)

D (1, -4)

Area = 1/2 × |(-4 × 6 + 3 × 3 + 6 × (-4) + 3 × (-1)) - (3 × 3 + 6 × (-4) + (-4) × (-1) + (-1) × (-4))|

Area = 1/2 × |(-24 + 9 - 24 - 3) - (9 - 24 + 4 + 4)|

Area = 1/2 × |(-42) - (-7)|

Area = 1/2 × |-42 + 7|

Area = 1/2 × |-35|

Area = 1/2 × 35

Area = 17.5

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two points A and B, due to two spheres X and Y 4.0m apart, that are carrying charges of 72mC and -72mC respectively. Assume constant of proportionality as 9×10^9Nm²/C². Find the electric field strength at points A and B due to each spheres presence​

Answers

Due to the presence of spheres X and Y, the electric field strength at point B is [tex]1.01 * 10^6 N/C[/tex] and [tex]-4.05 * 10^6 N/C[/tex], respectively.

Given that two spheres X and Y are carrying charges of 72mC and -72mC respectively, and they are located 4.0 m apart from each other. The electric field strength at points A and B due to the presence of each sphere is to be determined.

Let's begin by calculating the electric field strength at point A due to sphere X. Electric field strength is given by E=kq/r², where k is Coulomb's constant, q is the charge and r is the distance between the two charges. The electric field strength at point A due to sphere X, E₁=kq₁/r₁² [tex]= (9*10^9Nm^2/C^2) * (72mC) / (4.0m)^2 = 4.05 * 10^6 N/C[/tex] (approx.)

Similarly, the electric field strength at point A due to sphere Y can be calculated as follows, E₂=kq₂/r₂² [tex]= (9*10^9Nm^2/C^2) * (72mC) / (4.0m)^2 = 4.05 * 10^6 N/C[/tex] (approx.). Here, the negative sign indicates that the electric field due to sphere Y is in the opposite direction to the electric field due to sphere X. Now, let's calculate the electric field strength at point B. The electric field strength at point B due to sphere X, E₁=kq₁/r₁² [tex]= (9*10^9Nm^2/C^2) * (72mC) / (8.0m)^2 = 1.01 * 10^6 N/C[/tex] (approx.)

Similarly, the electric field strength at point B due to sphere Y can be calculated as follows, E₂=kq₂/r₂² [tex]= (9*10^9Nm^2/C^2) * (-72mC) / (4.0m)^2 = -4.05 * 10^6 N/C[/tex] (approx.). Therefore, the electric field strength at point A due to the presence of sphere X is [tex]4.05 * 10^6 N/C[/tex] and due to the presence of sphere Y is [tex]-4.05 * 10^6 N/C[/tex]. The electric field strength at point B due to the presence of sphere X is [tex]1.01 * 10^6 N/C[/tex] and due to the presence of sphere Y is [tex]-4.05 * 10^6 N/C[/tex].

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An architect is designing a swimming pool with a base in the shape of a right triangle according to the architect the pools depth should be 6 feet less than It’s length x and it’s width should be 8 feet less than it’s length the volume of water in the pool cannot exceed 1680 cubic feet which statement

Answers

Let's use the formula for the volume of a right triangular prism to find the length of the pool:
Volume = (1/2) x base x height x depth
We know that the base of the pool is a right triangle, so we can use the Pythagorean theorem to find the base:
a^2 + b^2 = c^2
where a and b are the legs of the right triangle and c is the hypotenuse, which is the length of the pool.
We also know that the width of the pool is 8 feet less than its length, so we can write:
b = c - 8
We are given that the depth of the pool is 6 feet less than its length x, so we can write:
depth = x - 6
Substituting the values of b and depth in the formula for the volume of a right triangular prism, we get:
Volume = (1/2) x (c - 8) x c x (x - 6)
Simplifying the equation, we get:
Volume = (1/2) x (c^2 - 8c) x (x - 6)
Multiplying both sides by 2 and expanding, we get:
2 x Volume = (c^2 - 8c) x (x - 6)
2 x 1680 = (c^2 - 8c) x (x - 6)
3360 = (c^2 - 8c) x (x - 6)
We can solve this quadratic equation for c using the quadratic formula:
c = [8 ± sqrt(64 + 4 x 3360 x (x - 6))] / 2
c = 4 ± sqrt(16 + 3360 x (x - 6))
We know that the length of the pool cannot be negative, so we can eliminate the negative root:
c = 4 + sqrt(16 + 3360 x (x - 6))
Now we can substitute this value of c in the equation for b:
b = c - 8
b = 4 + sqrt(16 + 3360 x (x - 6)) - 8
b = sqrt(16 + 3360 x (x - 6)) - 4
Therefore, the length, width, and depth of the pool are:
Length = c = 4 + sqrt(16 + 3360 x (x - 6))
Width = b = sqrt(16 + 3360 x (x - 6)) - 4
Depth = x - 6
We are given that the volume of water in the pool cannot exceed 1680 cubic feet, so we can write:
Volume = Length x Width x Depth
1680 = (4 + sqrt(16 + 3360 x (x - 6))) x (sqrt(16 + 3360 x (x - 6)) - 4) x (x - 6)
We can solve this equation for x using numerical methods or a graphing calculator. The solution is approximately x = 12.5 feet.
Therefore, the statement that is true is: The length of the pool cannot exceed 4 + sqrt(16 + 3360 x (x - 6)) feet, the width of the pool cannot exceed sqrt(16 + 3360 x (x - 6)) - 4 feet, and the depth of the pool cannot exceed 6.5 feet, in order to ensure that the volume of water in the pool does not exceed 1680 cubic feet.

Sarah has 12 cents. If she adds 1 dime and 1 quarter, how much money will she have?

Answers

Answer:

47 cents or $0.47

Step-by-step explanation:

1 dime = 10 cents (or $0.1)

1 quarter = 25 cents or ($0.25)

12 cents + 1 dime + 1 quarter = 12 + 10 + 25 = 47 cents

Write each set builder notation as interval notation. Do not include spaces in your answer. Please type out the word "infinity".

{r | -3 < r < 4}

Answers

The interval notation (-3, 4) represents the set of real numbers r that are greater than -3 and less than 4, excluding -3 and 4.

The set builder notation {r | -3 < r < 4} can be expressed in interval notation as (-3, 4).

In interval notation, the parentheses indicate that the endpoints, -3 and 4, are not included in the set.

The interval (-3, 4) represents all the real numbers r that are greater than -3 and less than 4, but not including -3 and 4.

It can also be visualized on a number line as an open interval between -3 and 4, where the endpoints are not filled in.

The interval (-3, 4) can be interpreted as a range of values for r. Any real number between -3 and 4, excluding the endpoints, would satisfy the given set builder notations.

For example, -2, 0, and 3 are all included in the interval (-3, 4), but -3 and 4 themselves are not part of the set.

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Sketch the graph of y=-2x²+x+1 using your graphing calculator. What are the x-intercepts of this graph?
a. (1, 0) and (-0.5, 0)
c. There are no x-intercepts
b.
(-2.5, 0) and (-2, 0)
d.
(-1.5, 0) and (-0.5, 0)
Please select the best answer from the choices provided

Answers

From the graph, we can see that the parabola intersects the x-axis at two points, which are approximately (-0.5, 0) and (1, 0).

Therefore, the correct answer is: a. (1, 0) and (-0.5, 0)

To sketch the graph of the quadratic function y = -2x² + x + 1 and determine the x-intercepts, we can use a graphing calculator or analyze the equation directly.

Here's the visualization and explanation of the graph:

The graph of a quadratic function is a parabola.

The general form of a quadratic equation is y = ax² + bx + c,

where a, b, and c are constants.

In this case, we have y = -2x² + x + 1.

The coefficient of x², which is -2, tells us that the parabola opens downward.

The vertex of the parabola can be found using the formula x = -b / (2a). Plugging in the values from our equation, we get x = -(1) / (2[tex]\times[/tex] (-2)) = 1/4.

So, the x-coordinate of the vertex is 1/4.

To find the y-coordinate of the vertex, we substitute the x-coordinate into the equation: y = -2(1/4)² + (1/4) + 1 = -1/8 + 1/4 + 1 = 1 + 1/4 - 1/8 = 1 + 2/8 - 1/8 = 1 + 1/8 = 9/8.

Now that we have the vertex of the parabola, which is (1/4, 9/8), we can sketch the graph.

-1/2  1/4    1/2

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Please help! Will give brainliest ​

Answers

The z - score z = (x - μ)/σ equals z = (p' - p)/[√(pq/n)]

What is z-score?

The z-score is the statical value used to determine probability in a normal distribution

Given the z-score z = (x - μ)/σ where

x = number of successes in a sample of nμ = np and σ = √npq

We need to show that

z = (p' - p)/√(pq/n)

We proceed as follows

Now, the z-score

z = (x - μ)/σ

Substituting in the values of μ and σ into the equation, we have that

μ = np and σ = √(npq)

So, z = (x - μ)/σ

z = (x - np)/[√(npq)]

Now, dividing both the numerator and denominator by n, we have that

z = (x - np)/[√(npq)]

z = (x - np) ÷ n/[√(npq)] ÷ n

z = (x/n - np/n)/[√(npq)/n]

z = (x/n - p)/[√(npq/n²)]

z = (x/n - p)/[√(pq/n)]

Now p' = x/n

So, z = (x/n - p)/[√(pq/n)]

z = (p' - p)/[√(pq/n)]

So, the z - score is z = (p' - p)/[√(pq/n)]

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NO LINKS!!! URGENT HELP PLEASE!!!
Please help with #15

Answers

Answer:

area = 8π/3

arc length = 4π/3

Step-by-step explanation:

θ = 60°

r = 4

Area of sector :

[tex]\frac{\theta}{360} \pi r^{2} \\\\=\frac{60}{360} \pi 4^{2} \\\\= \frac{1}{6} 16\pi \\\\= \frac{8}{3} \pi[/tex]

arc length:

[tex]\frac{\theta}{360} 2\pi r\\ \\= \frac{60}{360} 2(4)\pi \\\\= \frac{1}{6} 8\pi \\\\= \frac{4}{3} \pi[/tex]

Answer:

A ≈ 8.4 cm² , arc length ≈ 4.2 cm

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × [tex]\frac{60}{360}[/tex] ( r is the radius of the circle )

  = π × 4² × [tex]\frac{1}{6}[/tex]

  = [tex]\frac{16\pi }{6}[/tex]

  ≈ 8.4 cm² ( to 1 decimal place )

arc length is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{60}{360}[/tex]

     = 2π × 4 × [tex]\frac{1}{6}[/tex]

     = [tex]\frac{8\pi }{6}[/tex]

     ≈ 4.2 cm ( to 1 decimal place )

DC=x-2
Height=4
AB=2x+4
The area of the trapezoid ABCD shown above is 70 square units. Calculate x.

Answers

Answer:

Step-by-step explanation:To calculate the value of x, we can use the formula for the area of a trapezoid:

Area = (1/2) * (sum of the parallel sides) * height

Given that the area of the trapezoid ABCD is 70 square units, we can set up the equation as follows:

70 = (1/2) * (AB + DC) * Height

Substituting the given values:

70 = (1/2) * ((2x + 4) + (x - 2)) * 4

Simplifying the equation:

70 = (1/2) * (3x + 2) * 4

Multiplying both sides by 2 to remove the fraction:

140 = (3x + 2) * 4

Dividing both sides by 4:

35 = 3x + 2

Subtracting 2 from both sides:

33 = 3x

Dividing both sides by 3:

x = 11

Therefore, the value of x is 11.

Answer if the following statement is true of false. *
1.X=X?
True
O False

Answers

Your answer is False

The statement is:

O True

Work/explanation:

The following statement is true, because 1x is indeed the same thing as x. So when combining like terms, 2x + x is the same thing as 2x + 1x, which evaluates to 3x.

Therefore this is the answer.

NO LINKS!! URGENT HELP PLEASE!!

Please help me with 34

Is AB tangent to the circle? Explain..​

Answers

Answer:

AB is not tangent to the circle.

Step-by-step explanation:

A tangent is a straight line that touches a circle at only one point.

The tangent of a circle is always perpendicular to the radius.

Therefore, if AB is tangent to the circle, it will form a right angle with the radius, CA.

To determine if AB is tangent, we can use Pythagoras Theorem.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

If AB is tangent, then angle CAB will be a right angle. So AC and AB would be the legs of the right triangle, and BC would be the hypotenuse.

Therefore:

[tex]AC^2+AB^2=BC^2[/tex]

Substitute the values into the equation:

[tex]7^2+12^2=15^2[/tex]

[tex]49+144=225[/tex]

[tex]193 = 225 \; \leftarrow\; \sf not\;true[/tex]

As 193 ≠ 225, the equation does not hold, hence proving that AB is not tangent to the circle.

21. An RSTU rectangle is drawn on the coordinate plane with coordinates R(-1, 5), S(4, 5), T(4, 9) and then translated by T(2,-3), then the image coordinates of point U are ​

Answers

The image coordinates of point U, after translating the RSTU rectangle by T(2,-3), would be U(6, 6).

To find the image coordinates of U, we need to apply the translation vector T(2,-3) to each of the original coordinates.

The translation vector represents the horizontal and vertical distances by which each point is moved.

Starting with the original coordinates of point U, which are (4, 9), we add the horizontal distance of 2 to the x-coordinate and subtract the vertical distance of 3 from the y-coordinate.

Therefore, the new x-coordinate of U is 4 + 2 = 6, and the new y-coordinate is 9 - 3 = 6.

Thus, the image coordinates of point U after the translation are (6, 6). This means that U has been moved 2 units to the right and 3 units downward from its original position.

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Pls help I need this answer now

Answers

Answer:

The correct answer is A. As x increases, the rate of change of f(x) exceeds the rate of change of g(x)

Step-by-step explanation:

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The correct representations of the inequality –3(2x – 5) < 5(2 – x) are options 1 (x < 5) and 3 (–6x + 15 < 10 – 5x).

To determine the correct representations of the inequality –3(2x – 5) < 5(2 – x), let's simplify the expression and analyze the options:

First, we simplify the inequality:

–3(2x – 5) < 5(2 – x)

–6x + 15 < 10 – 5x

Now let's analyze the options:

x < 5: This option represents the solution to the inequality. It indicates that x must be less than 5 for the inequality to hold true.

–6x – 5 < 10 – x: This is not a correct representation of the inequality. The sign of the x-term on the right side of the inequality is incorrect.

–6x + 15 < 10 – 5x: This option represents the solution to the inequality. It correctly represents the simplified inequality we obtained earlier.

A number line from negative 3 to 3 in increments of 1, with an open circle at 5 and a bold line starting at 5 and pointing to the right: This representation does not accurately represent the solution to the inequality. The inequality is not satisfied at x = 5, so the circle should be closed.

A number line from negative 3 to 3 in increments of 1, with an open circle at negative 5 and a bold line starting at negative 5 and pointing to the left: This representation is not correct as it does not represent the solution to the inequality.

Therefore, choices 1 (x 5) and 3 (-6x + 15 10 - 5x) are the proper expressions of the inequality -3(2x - 5) 5(2 - x).

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1/2 (6m - 12n)



helpp!!

Answers

Is it 1/2 * (6m-12n) or 1/(2*(6m-12n)) ?

Show 2x -6 in a line graph

Answers

The resulting line graph will be a straight line that starts below the y-axis, crosses it at the point (0, -6), and continues upwards as the x-values increase.

To plot the line graph of the equation 2x - 6, we need to assign values to the variable x and calculate the corresponding values of y.

Let's choose a range of x-values and calculate the corresponding y-values:

For example, let's choose x = -3, -2, -1, 0, 1, 2, and 3.

Substituting these values into the equation 2x - 6, we get:

For x = -3: y = 2(-3) - 6 = -12

For x = -2: y = 2(-2) - 6 = -10

For x = -1: y = 2(-1) - 6 = -8

For x = 0: y = 2(0) - 6 = -6

For x = 1: y = 2(1) - 6 = -4

For x = 2: y = 2(2) - 6 = -2

For x = 3: y = 2(3) - 6 = 0

Now, we can plot these points on a graph with x as the horizontal axis and y as the vertical axis:

(-3, -12), (-2, -10), (-1, -8), (0, -6), (1, -4), (2, -2), (3, 0)

We can then connect these points with a straight line. Since the equation is in the form y = 2x - 6, the line will have a slope of 2 and a y-intercept of -6. The line will have a positive slope, meaning it will slant upwards from left to right.

The resulting line graph will be a straight line that starts below the y-axis, crosses it at the point (0, -6), and continues upwards as the x-values increase.

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The table shows the size of outdoor decks (x) in square feet, and the estimated dollar cost to construct them (y).

x y x2 xy
100 600 10,000 60,000
144 850 20,736 122,400
225 1,300 50,625 292,500
324 1,900 104,976 615,600
400 2,300 160,000 920,000
∑x=1,193 ​∑y=6,950 ∑x2=346,337 ∑xy=2,010,500
Which regression equation correctly models the data?

y = 5.83x – 1.04
y = 5.83x + 17
y = 5.71x + 29
y = 5.71x + 27.6

Answers

The regression equation that correctly models the data is: y = 5.71x + 27.6.

The correct answer to the given question is option D.

Regression equations are mathematical models that relate two or more variables to find the relationship between them. One variable, denoted as y, is considered the dependent variable. The other variable, denoted as x, is considered the independent variable.

In this case, the independent variable is the size of the outdoor deck, while the dependent variable is the estimated cost to construct it.

There are different types of regression equations. The one that fits this scenario is the linear regression equation, which has the form y = mx + b, where m is the slope of the line and b is the y-intercept.

The slope represents the change in y for each unit change in x, while the y-intercept represents the value of y when x is zero. To find the regression equation that correctly models the data, we need to calculate the slope and the y-intercept using the given values.

We can use the following formulas:

Slope:  m = [(n∑xy) - (∑x)(∑y)] / [(n∑x2) - (∑x)2]

Y-intercept: b = (∑y - m∑x) / n Where n is the number of data points, which is 6 in this case.

Using the given values, we get: Slope: m = [(6)(2,010,500) - (1,193)(6,950)] / [(6)(346,337) - (1,193)2] = 5.71

Y-intercept: b = (6,950 - (5.71)(1,193)) / 6 = 27.6

Therefore, the regression equation that correctly models the data is: y = 5.71x + 27.6

The answer is option D.

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Find three points that solve the equation and plot it on a graph -3x + 2y = 11

Answers

The x-axis represents the values of x, and the y-axis represents the values of y. The first point (0, 11/2) lies on the y-axis, at a height of 11/2. The second point (2, 17/2) lies to the right of the y-axis, at a height of 17/2. The third point (-3, 1) lies to the left of the y-axis, at a height of 1.

To find three points that satisfy the equation -3x + 2y = 11, we can arbitrarily assign values to either x or y and solve for the other variable. Let's choose to assign values to x and solve for y:

Let x = 0:

-3(0) + 2y = 11

2y = 11

y = 11/2

The first point is (0, 11/2).

Let x = 2:

-3(2) + 2y = 11

-6 + 2y = 11

2y = 11 + 6

2y = 17

y = 17/2

The second point is (2, 17/2).

Let x = -3:

-3(-3) + 2y = 11

9 + 2y = 11

2y = 11 - 9

2y = 2

y = 1

The third point is (-3, 1).

Now let's plot these points on a graph:

The x-axis represents the values of x, and the y-axis represents the values of y. The first point (0, 11/2) lies on the y-axis, at a height of 11/2. The second point (2, 17/2) lies to the right of the y-axis, at a height of 17/2. The third point (-3, 1) lies to the left of the y-axis, at a height of 1.

By plotting these three points on the graph, you will have a visual representation of the solutions to the equation -3x + 2y = 11.

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What the meaning of statement this?

Answers

A set S is T-finite if it satisfies Tarski's finite set condition, which states that for every nonempty subset X of P(S), there exists a maximal element u in X such that there is no v in X with u as a proper subset of v and u is distinct from v. If a set does not satisfy this condition, it is considered T-infinite.

In set theory, a set S is said to be T-finite if it satisfies a particular property called Tarski's finite set condition. This condition states that for every nonempty subset X of the power set of S (denoted as P(S)), there exists a maximal element u in X such that there is no element v in X that properly contains u (i.e., u is not a proper subset of v) and u is distinct from v.

To understand this concept, let's break it down further:

T-finite set: A set S is T-finite if, for any nonempty subset X of P(S), there exists an element u in X that is maximal. This means that u is not properly contained in any other element in X.

Maximal element: In the context of Tarski's finite set condition, a maximal element refers to an element u in X that is not a proper subset of any other element in X. In other words, there is no v in X such that u is a proper subset of v.

Distinct elements: This means that u and v are not the same element. In the context of Tarski's finite set condition, u and v cannot be equal to each other.

T-infinite set: A set S is T-infinite if it does not satisfy Tarski's finite set condition. This means that there exists a nonempty subset X of P(S) for which no maximal element u can be found, or there exists an element v in X that properly contains another element u.

In conclusion, a set S is T-finite if it meets Tarski's finite set condition, which asserts that there exists a maximal element u in X such that there is no v in X with v as a proper subset of u and u is different from v. A set is regarded as T-infinite if it does not meet this requirement.

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Pls help I am stuck Tysm

Answers

The perimeter of the figure is 30 cm.

How to find the perimeter of a figure?

The perimeter of the figure is the sum of the whole sides of the figure. Therefore, the perimeter of the figure can be found as follows:

perimeter of the figure = sum of the whole sides

Therefore,

perimeter of the figure = 6 cm + 9 cm + 2 cm + 3cm + 2cm + 3cm + 2cm + 3cm

Hence,

perimeter of the figure = 15 cm + 5 cm + 5cm + 5 cm

perimeter of the figure = 30 cm

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