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The equation in slope-intercept form of the line that passes through the point is y = -2x+4 , Option B is the correct answer.

The equation of a straight line is given by the equation

y= mx+c

Where m is the slope and

c is the intercept on y axis.

The given data is

line passes through the point (3,-2) with slope -2.

m = -2

y = -2x + c

-2 = - 2 * 3 +c

-2 = -6 +c

c = +4

y = -2x+4

Therefore Option B is the correct answer.

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Answer:

272 m

Step-by-step explanation:

You have to devide the shape in 2.

Answer:

list statements please or I cannot help you.

Step-by-step explanation:

or do you want me to make a statement?

Answer:  Conditional Statement

A conditional is of the form "if, then" which is often found in math classes and formal logic classes as well.

The differential equation that models the given situation will be dy/dt = K(N - y).

Let y = number of individuals who have heard about the product.

Let N - y = this who haven't heard about the product.

From the given statement, the rate for change will be t = dy/dt. Therefore, the differential equation that models the given situation will be dy/dt = K(N - y).

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[tex]~~4^2 +\sqrt 9\\\\=16 +3 \\\\=19[/tex]

Answer:

hope you can understand

Answer:

is there any other info?

Answer: x=2

Step-by-step explanation:

To find the value of x, we have [tex]\frac{x}{2} =1[/tex]. To isolate x, we want to multiply both sides by 2 to get x alone.

x=2

Answer:

2

Step-by-step explanation:

[tex] \frac{x}{2} = 1 \\ cross \: multiplying \\ x = 2 \times 1 = 2 \\ x = 2[/tex]

Answer:

[tex]y = \frac{7}{2} [/tex]

Step-by-step explanation:

[tex]3y + 7 = 5y \\ 7 = 5y - 3y \\ 7 = 2y \\ \frac{7}{2} = y \\ y = \frac{7}{2} [/tex]

Answer:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

(-5,6)

Step-by-step explanation:

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

An equation is an expression that shows the relationship between two or more variables or numbers.

[tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8 }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}[/tex]

If [tex]\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}[/tex], the value of a and b is given as a = 34 and b = 0

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Answer: the answer is 126.6

Step-by-step explanation:

Answer:

  AC ≈ 126.6

Step-by-step explanation:

The law of sines can be used to find the side length of interest in this triangle. It tells you ...

  a/sin(A) = b/sin(B) = c/sin(C)

__

In order to use the law of sines, we must have a side length and its opposite angle. Here, the angle opposite the given side is unmarked, so we need to compute it using the angle sum theorem.

  A +B +C = 180°

  A +85° +53° = 180°

  A = 42° . . . . . . . . . . . . . subtract (85°+53°)

Then side AC can be found from ...

  AC/sin(B) = BC/sin(A)

  AC = BC·sin(B)/sin(A) = 85·sin(85°)/sin(42°)

  AC ≈ 126.547

The closest answer choice is 126.6.

Answer:

No, it is not the same thing.

Step-by-step explanation:

Hope this helps!

The situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

The expression is given as:

2 - 5

When the expression illustrates change in temperature, the interpretation can be:

An initial temperature of 2°C decreases by 5°C

Hence, the situation that represents the expression 2 - 5 is (a) the temperature was 2°C and has decreased by 5°C

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Answer:

B is true

C is false

D is false

Step-by-step explanation:

- B is true because two negative numbers are added together, the outcome is negative hence always less than 0

- C is false due to needing a negative number add to -1.5 to be less, a positive only makes the number greater

- D is false since you are adding 0.9 (9/10), anything less than this will m ake the sum be greater than 0

example: - 0.5 + 0.9 = 0.4 or - 0.8 + 0.9 = 0.1

Answer:

[tex]\frac{1}{6}[/tex]

[tex]6^{-1}[/tex]

[tex]\frac{1}{6^{1} }[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{6}[/tex] and [tex]6^{-1}[/tex] also [tex]}{\frac{1}{6^{1} } }[/tex] which is the same as [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

According to exponent rules

[tex]a^{n} *a^{m} =a^{n+m}[/tex]

[tex]a^{-x}= \frac{1}{a^{x} }[/tex]

Answer:

12mph

Explanation:

Answer:

[tex]-4x^3+6x^2-x[/tex]

Step-by-step explanation:

1. Distribute the X across the equation: [tex]-x(4x^2)=-4x^3\\[/tex]

2.[tex]-x(-6x)=6x^2[/tex]

3.[tex]-x(1)=-x[/tex]

3.[tex]-4x^3+6x^2-x[/tex]

Answer:

1. 05+02=07

   07+03=10

2. 05+04=09

    09+01=10

3. 05+01=06

   06+04=10

4. 05+03=08

   08+02=10

5. 17+03=20

6. 19+01=20

Step-by-step explanation:

(Answers are in bold)

By definition of conditional probability, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

Probability is the greater or lesser possibility that a certain event will occur.

In other words, the probability establishes a relationship between the number of favorable events and the total number of possible events.

The conditional probability P(A|B) is the probability that an event A occurs, knowing that another event B also occurs. That is, it is the probability that event A occurs if event B has occurred. Is defined as:

P(A|B) = P(A∩B)÷ P(B)

In this case, you know:

Being the event A∩B (A intersection B) when A and B occur simultaneously, then:

Suppose a person who eats salad is randomly selected and likes cheese on his salad, the probability that the person also likes tomatoes on their salad is:

P(B|A) = P(A∩B)÷ P(B)

Then:

P(A|B) = 0.36÷0.49

P(B|A) = 0.73= 73%

Finally, the probability that the person also likes tomatoes on their salad is 0.73 or 73% (last option).

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Answer:

height = 18m

Step-by-step explanation:

cone volume = 3183.96 m³

1/3 πr²h = 3183.96

1/3×3.14×13×13×h = 3183.96

h = 3183.96×3/13×13×3.14

h = 9551.88/530.66

h = 18

Answer:

No Solution

Step-by-step explanation:

Answer:

[tex]x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

Step-by-step explanation:

[tex]~~~~~~5x^2 +x +1 = 0\\\\\implies x = \dfrac{-1\pm\sqrt{1^2 -4 (5)(1)}}{2(5)}\\\\\implies x = \dfrac{-1 \pm \sqrt{-19}}{10}\\\\\implies x = \dfrac{-1\pm i\sqrt{19}}{10}[/tex]

The graph (A) in the picture represents the solution to the inequality, option (A) is correct.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are missing.

The graph is in the picture, please refer to the picture.

We have an inequality:

y − 2x ≤ 1

The above inequality represents a straight line with a positive slope.

The right side region of the line is representing the solution to the inequality.

Graph (A) represents the inequality.

Thus, the graph (A) in the picture represents the solution to the inequality, option (A) is correct.

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The surface area of the prism is 144 square units

The attached image represents the missing figure in the question.

The image would be used to complete the steps, as follows:

Hence, the surface area of the prism is 144 square units

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Answer:

All the GCFs look good!  Here's the simplified fractions:

Step-by-step explanation:

1. 2/3

2. 3/4

3. 3/7

4. 3/16

5. 27/29

6. 4/11

7. 2/11

Simply divide the numerator by the GCF to find the simplified numerator, and the denominator by that same GCF to find the simplified denominator!

The law used for determining the measure of unknown sides and angles of a triangle. The measure of the largest angle in triangle abc is 98.25 degrees

The law used for determining the measure of unknown sides and angles of a triangle. It is expressed as:

c² = a² + b² - 2abcosC

Given the following

c = 16

a = 12

b = 9

Substitute

16² = 12² + 9² - 2(9)(12)cosC

256 = 144 + 81 - 216cosC

31 = -216cosC

cosC = -31/216

C = 98.25 degrees

Hence the measure of the largest angle in triangle abc is 98.25 degrees

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Answer:

(-3, 8) is the solution

Step-by-step explanation:

The LCD of the first equation is (3)(4) = 12.  Rewriting this equation, we get:

4x + 3y = 12

to which we add the second equation, obtaining:

4x + 3y = 12

2x - 3y = -30

-------------------

6x   = -18

Dividing both sides by 6 yields x = -3

Substituting -3 for x in the first equation yields 4(-3) + 3y = 12, or

-12 + 3y = 12

Then 3y = 24 and y must be 8.

The solution to this system of linear equations is (-3, 8).

Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]

So, the distance between the two points is 13.