Describe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3+4. Include the average rate of change in your answer.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).

The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.

Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.

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Answer:

a parallel to b

Step-by-step explanation:

Answer:

8 Tiles

Step-by-step explanation:

Dimension of area to be covered =8 inches by 4 inches

Penni intends to use 2-inch square tiles.

Therefore, the number of tiles to be used by Penni

=Area to be covered Divided by Area of One Tile

= 32/4

=8

Therefore, Penni needs 8 Tiles.

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

First, let's simplify the expression to see the correct result:

Looking at Helen's calculations, she did a mistake in the last step, where the numerator 4 went to the radical and denominator 3 went to the exponent of number 2, and it should be the inverse.

Looking at Stephen's calculations, he did a mistake in the first step, where he switched ln2 by 2, and that's not correct.

Answer:

slope = 4

points on graph = (0,0), (1,4)

Step-by-step explanation:

line going through quadrants 1 and 3. Straight line.

Answer:

  4. 48, 24, 12

  21. A, B, B, C

Step-by-step explanation:

There are two different questions here. One where you get to make up an exponential function and write a table of values. The other is a statistics problem in which you compare 5-number summaries.

__

For the function f(x) = a·b^x, the value of f(0) is 'a'. The given table shows a=96. The only requirement for choosing 'b' is that it not be 1. We can choose b=1/2, and our table will be ...

  y = 96·(1/2)^x

  \(\begin{array}{c|cccc}x&0&1&2&3\\y&96&\boxed{48}&\boxed{24}&\boxed{12}\end{array}\)

For each increase of x by 1 unit, the value of y is cut in half.

__

The attachment shows you how to find the answers to the questions.

The median is the bar in the middle of the box. The values for the different teams are ...

Team A has the lowest median; Team B has the highest median.

The interquartile range (IQR) is the length of the box. For the different teams, the values are ...

Team B has the smallest IQR; Team C has the largest.

Answer: $50

Step-by-step explanation: 30 divided by 3 =10

10 multiplied by 5 = 50

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = \(\frac{1}{2} bh\)

Given:

Area of triangle = \(\frac{1}{2} (6x^2 - 7x - 3)\)

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

\(6x^2 - 7x - 3\)

To find the expression that models the other leg, divide \(6x^2 - 7x - 3\) by 3x + 1:

\(\frac{6x^2 - 7x - 3}{3x - 1}\)

\(\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}\)

\(\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3\)

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

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Answer:

By making y alone

Step-by-step explanation:

3y-14=16

   +14  +14

3y=  30

divide 3 on both sides

y=10

Hope this helps!

Answer:

2400

Step-by-step explanation:

40 = 2^3 * 5

120 = 2^5 * 5

150 = 2 * 3 * 5^2

LCM = 2^5 * 3 * 5^2

Answer:

56

Step-by-step explanation:

Angles w and 124 are linear pair angles,

w + 124 = 180

w = 180 - 124

w = 56

Answer:

-4

Step-by-step explanation:

1 Collect like terms.

(6-10)+(-3x+3x)(6−10)+(−3x+3x)

2 Simplify.

-4

Answer:

sorry, I think u got yr question incomplete.

To find the median:

- Arrange the data points from smallest to largest.

- If the number of data points is odd, the median is the middle data point in the list.

- If the number of data points is even, the median is the average of the two middle data points in the list.

Answer:

10x+5h-1

Step-by-step explanation:

Find f ( x + h) and f  (x), and plug these values  into difference quotient formula.

Answer:

10x + 5h − 1

Step-by-step explanation:

10x + 5h − 1

Answer:

2

Step-by-step explanation:

If we have the length and the breadth of a rectangle then we can draw a unique rectangle because we know already that all the vertex angles are equal to 90 degrees. Hence, only two measurements are required.

Answer:

2/7 or 2 over 7

Step-by-step explanation:

4/14 can be simplified. We know this because both 4 and 14 can be divided by 2. 4 divided by 2 = 2 and 1 divided by 2 = 7, thus the answer is 2 over 7.

Given: 4.75%

Asked: Write the percent in decimal.

Solution:

In order to make it in decimal, we will divide 4.75 by 100.

ANSWER: 0.0475

Answer:

net pay if im not mistaking

Step-by-step explanation:

Answer:

Y = -½x + 3/2

Y = -3x + 5

Y = 1/4x - 3¼

Step-by-step explanation:

Parallel implies they have the same gradient

Perpendicular implies the gradient is a negative reciprocal of the other.

The height of the skyscraper is D. 156.26 ft

To determine the height of the skyscraper,  we need to consider the following trigonometric identities listed thus;

From the information given, we have that;

Angle, θ = 38 degrees

The shadow casted is the adjacent side of the angle and is 200 ft

The height off the skyscraper is the opposite side

Now, using the tangent identity, we have that;

tan θ = opposite/adjacent

tan 38 = h/200

cross multiply the values, we get;

h = 200(0.7812)

Multiply the values

h = 156. 26 ft

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Answer:

5 pounds

Step-by-step explanation:

80 divided by 16 = 5

Answer:

C=−Ax−By

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x≤-3 or 2≤x∠7

Step-by-step explanation:

It would be the first answer on the paper

Answer:

A

Step-by-step explanation:

\(\frac{x^2+x-6}{x-7} \leq 0\\\)

hence numerator and denominator are of opposite sign.

case1 .

let x²+x-6≥ 0

and x-7<0

x²+x≥6

x²+x+1/4≥6+1/4

(x+1/2)²≥25/4

(x+1/2)²≥(5/2)²

|x+1/2|≥5/2

x+1/2≥5/2

x≥5/2-1/2

x≥2

or

x+1/2≤-5/2

x≤-5/2-1/2

x≤-3

also x-7<0

x<7

combining

x≤-3 or 2≤x<7

case 2.

x²+x-6<0

and x-7≥0

x²+x<6

x²+x+1/4<6+1/4

(x+1/2)²<25/4

|x+1/2|<5/2

so -5/2 <x+1/2<5/2

-5/2-1/2<x<5/2-1/2

-3<x<2

also x-7≥0

so x≥7

combining

we get no vlaue satisfying both the values.

Hence rejected.