Find the circumference of the circle. Use 3.14, Round to the nearest hundredth. the diameter is 20 ft

The standard deviation of the sample mean differences is 4.854

The table of values is given as:

Sample      Standard deviation

Red box     3.868

Blue box   2.933

The standard deviation of the sample mean differences is calculated using:

[tex]\sigma = \sqrt{\sigma_1^2 + \sigma_2^2}[/tex]

This gives

[tex]\sigma = \sqrt{3.868^2 + 2.933^2}[/tex]

Evaluate the expression

[tex]\sigma = 4.854[/tex]

Also, the table of value do not give any information regarding the sample size.

This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown

Hence, the standard deviation of the sample mean differences is 4.854

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Answer:

Use the formula Where 1. q = Heat Energy 2. m = Mass 3. c = Specific Heat 4. ΔT = Change in temperature. 14640 J = (300 g)(2.44 J/g·°C)ΔT Solve for ΔT: 1. ΔT = 14640 J/(300 g)(2.44 J/g·°C) 2. ΔT = 20 °C 3. ΔT = Tfinal - Tinitial 4. Tfinal = Tinital+ ΔT 5. Tfinal= 10 °C + 20 °C 6. Tfinal= 30 °C Answer:The final temperature of the ethanol is 30 °C.

It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.

Logarithmic functions are defined as the inverses of exponential functions.

Hence, exponential functions can be expressed in logarithmic form

Given that f(x) = log₁₀(x)

we need to find the value of f(50),

we have to substitute x to be 50 in the logarithm function,

f(50) = log₁₀(50)

f(50) = log₁₀(5 x 10)

f(50) = log₁₀(5) + log₁₀(10)  

f(50) = 1 + log₁₀(5)

f(50) = 1 + 0.70

f(50) = 1.70

Hence, It is Given that f(x) = log₁₀(x) then the value of f(50) is 1.70.

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Answer:

59.1 feet

Step-by-step explanation:

The formula for the circumference of a circle in C=2πr. Since the radius of the circle is given, all you have to do is plug it into the equation.

C=2πr

C=2π(9.4)

C=18.8π feet  <-- this is the exact answer

C=59.1 feet

Answer:

0.24

Step-by-step explanation:

$1.20 ÷ 5 = 0.24

To check that we are going to multiply [tex]5 x 0.24 = $1.20\\[/tex]

I hope this helps and have a great day!

What is the sentence and what are the questions. Until I know I can't help. But I should be able to answer if you can tell me

Check the picture below.

Answer:

AA similarity postulate

Explanation:

For triangle XZY, the angles are 90°, 40°, 50°.

For triangle AXB, the angles are 90°, 40°, 50°.

Which states that all the angles are of equal measure in the triangles.

This is stated by AA similarity theorem meaning when two angles are equal in the triangle. Then the triangles are congruent to each other.

The value of x in the given right triangle is approximately 7.14

Hypotenuse² = opposite² + adjacent ²

10² = x² + 7²

100 = x² + 49

100 - 49 = x²

51 = x²

x = √51

x = 7.14142842854284

Approximately,

x = 7.14

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The distance covered by the motorcycle is 31.4 km and displacement will be equal to 0.

Distance and Displacement both are the measure of the movement of an Object from one point to another.

Distance is a scalar quantity while Displacement is a vector quantity , and so it depends upon direction.

Distance travelled will always be positive but Displacement can be positive , negative and zero.

A motorcycle rides from point P to Q to R to S and finally to P in a circular path as shown in the below figure

The missing figure is attached with the answer.

(a) The distance covered by the motorcycle is

2πr = 2 * 3.14 * 5 = 31.4 km

(b) The displacement will be equal to 0 as the starting and the ending point is same.

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Answer:

[tex]\huge\bold\color{pink}{- Magdonal -}[/tex]

magpakailanman

[tex]\pink{\rule{1pt}{999999pt}}[/tex]

Answer:

I think it's the one in the middle

Step-by-step explanation:

Answer:

3n-10

Step-by-step explanation:

Goes up by three and the first number of this sequence is 10 below 3.

Answer:

Step-by-step explanation:

The area of the equilateral triangle is [tex]\frac{\sqrt{3}}{4}(6)^{2}=\boxed{9\sqrt{3}}[/tex]

Option A is the correct option. The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

A polynomial equation is an equation in which the unknown variable is one and the highest power of the unknown variable is n. Here n can be any real number.

Given information-

The polynomial equation given in the problem is,

8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

Let the above polynomial is. Thus,

f(m,n) = 8mn⁵-2m⁶+5m²n⁴-m³n³+n⁶-4m⁶+9m²n⁴-mn⁵-4m³n³

The terms with the same base and exponents can be added or subtracted from each other. Thus solve the equation further as,

f(m,n) = ( 8mn⁵ - mn⁵ ) -2m⁶ + ( 5m²n⁴+9m²n⁴ ) - ( m³n³-4m³n³) + n⁶-4m⁶

f(m,n) = 7mn⁵ - 2m⁶ + 14 m²n⁴ - 5 m³n³ + n⁶- 6m⁶

Arrange it as,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

f(m,n) = n⁶+7mn⁵+14m²n⁴-5m³n³-6m⁶-2m⁶

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The probability of choosing a purple marble from the given parameters is given as; 29%

We are given;

Probability of drawing an orange marble = 23% = 0.23

Probability of of drawing a white marble = 48% = 0.48

Thus, probability of drawing a purple marble is;

P(purple marble) = 100% - (23% + 48%)

P(purple marble) = 29%

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Answer:

x = 5, x = 1

Step-by-step explanation:

Hello!

We can solve this quadratic by factoring.

Use the zero product property:

x = 5, or x = 1

=202 in²

Divide the shape into 2.

Area of a rectangle= Length * Width

So..

The first shape = 13in*4in = 52in²

The second shape = 15in * 10in = 150in²

150 + 52 = 202in²

Answer:

(a,b)

Step-by-step explanation:

Using the Midpoint formula,

[tex]\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

you will get

[tex]\left(\frac{2a+0}{2},\:\frac{0+2b}{2}\right)[/tex]

which is

(a,b)

Answer:

363.22

Step-by-step explanation:

Method 1:

You could find the whole figure surface area than divided by 1/2

Method 2: (the one I'm going to personally be doing)

Break the figure into two rectangular figures

Formula for surface area of rectangular prism:

A = 2(width x length + height x length + height x width)

Figure 1:

A = 2(width x length + height x length + height x width)

height = 3.8 yd

length = 10.1 yd

width = 4.3 yd

A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))

A = 2(98.15)

A = 196.3

Figure 2:

A = 2(width x length + height x length + height x width)

height = 8.4 yd

length = 10.1 yd

width = 2 yd

A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))

A = 2(121.84)

A = 243.68

There is overlapping surface area that shouldnt be include so we need to subtract it...

For one face of figure 1

3.8 x 10.1 = 38.38

Total:

Figure 1 + Figure 2 - 2(one face)

196.3 - 38.38 = 157.92

243.68 - 38.38 = 205.3

205.3 + 157.92 = 363.22

The linear function that has a graph perpendicular to y = 2x – 4 is given by:

D. 2x + 4y = 1

A linear function is modeled by:

y = mx + b

In which:

If two lines are perpendicular, the multiplication of their slopes is of -1. The line y = 2x + 4 as a slope of 2, hence the slope of the perpendicular line will be given by m as such:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2} = -0.5[/tex]

Hence option D is correct, as:

2x + 4y = 1

4y = -2x + 1

y = -0.5x + 0.25

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Answer:

38760 ways

Step-by-step explanation:

20 C 6 = 38760

We need to explain the steps to use coordinates in calculating the perimeter and area of the polygon.

We need to explain the procedure when working with diagonal sides and irregular shapes on the coordinate plane.

The location of a point in the XY-plane is determined by coordinates. The vertex, which is the point where two lines of a shape meet to form a corner, is a unique place. We can determine the perimeter and area of a figure after we have the coordinates for all of its vertices.

Steps to calculate the perimeter and area of a polygon:

Step 1: Plot the given points on the graph.

Step 2: Connect the points and identify the figure.

Step 3: Determine lengths by counting the grid lines.

Step 4: Use a formula to calculate the perimeter and area if one exists.

Step 5: If there are no formulas for a figure, the perimeter can be calculated by summing the lengths of the sides. We might estimate the area without an area formula by counting the number of small squares enclosed.

Note: If you are using diagonal to calculate the area, then use the distance formula to calculate the length of the diagonal.

We need to explain how the distance formula and slope formula

are used to classify various quadrilaterals and triangles.

Distance formula: [tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2} }[/tex]

Now, we use slope to find the angles i.e. If:

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Answer: -10

Step-by-step explanation:

10 x 4 is 40 so with 2 negatives, it turns positive, and 40 plus 10 = 50

Answer:

x=-10

Step-by-step explanation:

-4x+10=50

10=50+4x

-50+10=4x

-40=4x

4x=-40

x=-40÷4

x=-10

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's find the value of given expression for x = 5 ~

[tex]\qquad \sf  \dashrightarrow \:3(3x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x + 15[/tex]

now, plug in the value of x as 5

[tex]\qquad \sf  \dashrightarrow \:9(5) + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:45 + 15[/tex]

[tex]\qquad \sf  \dashrightarrow \:60[/tex]

so, the equivalent value is 60

The recursive formula is f(n+1)= f(n)-5.

Given sequence :

f(1)= 6, n≥1.

Let f(n) denote the nth term of the given sequence.

f(1)= 6

f(2)= 1 = f(1)-5

f(3)= -4 = 1-5= f(2) -5

f(4)= -9 = 1-10 = f(2)-10

and so on

Hence, the recursive formula is f(n+1)= f(n)-5.

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Answer:

Step-by-step explanation:

Because the slope of y = 2x + 3 is 2, y increases by 2 for every unit increase in x.

Substituting the given x-value -2 into y = 2x + 3 results in y = -1.

If we now increase x by 1, from -2 to -1, y increases by 2:  the new

y value is y = -1 + 2 or y = 1. which agrees with the +1 in the list of y-values.

Again, y =  ?,,,1,,,,?,,?,,7,,?  becomes  y = -1, 1, ?,,?,,7.  Note that -1 + 2 = 1;

1 + 2 = 3; 3 + 2 = 5; 5 + 2 = 7 (which agrees with the given 7); 7 + 2 = 9.

So the given incomplete table of values

x,,-2,,-1,,0,,1,,2,,3

y,,,?,,,1,,,,?,,?,,7,,?

becomes:

x,,-2,,-1,,0,,1,,2,,3

y,,, -1,,1,,,3,,5,,7,,9

Answer:

Step-by-step explanation:

Multiplicative inverse of 26/5 is 5/26

(4/13 + 5/26)

13/26 ᴏʀ 1/2