Dorothy has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Dorothy started out with 20 rabbits and the function y = 20 • 2.3x models the number of rabbits she will have after x months. Which graph represents this function?

200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

43 degrees i think............

The equation for the line of symmetry for the quadratic function

[f(x) = (14+6x-3x²)] will be (x = 1).

As per the question statement, we are provided with a quadratic function [f(x) = (14+6x-3x²)].

We are required to determine the line of symmetry for the above-mentioned quadratic function.

To solve this question, we need to know about the relation between a standard quadratic equation of parabola and it's line or axis of symmetry.

The Standard quadratic equation of a parabola goes as \([y=f(x)=(ax^{2} +bx+c)]\) and axis of symmetry is \((x=\frac{-b}{2a})\).

Here, we will have to compare our question mentioned quadratic function with the above-mentioned standard quadratic form of parabola, and identify the "a" and "b" values, and then use these values in the form of above-mentioned axis of symmetry, to obtain our desired a answer.

Comparing \((14+6x-3x^{2} )\) and \((ax^{2} +bx+c)\), we can identify [a = -(3)] and (b = 6). Therefore, axis of symmetry for the quadratic function

[f(x) = (14+6x-3x²)] will be

\([x=\frac{-6}{2*(-3)}]\\or,[x=\frac{-6}{-6}]\\ or,(x=1)\)

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Answer:

D

Step-by-step explanation:

Answer:

Option D; 3, 7, 9 and 21

Step-by-step explanation:

63/3 = 21

63/7 = 9

63/9 = 7

63/21 = 3

Hope this helps!

The standard deviation of the x distribution is 0.2.

According to the statement

we have given that the the sample n is 64 and we have to find the standard deviation of the given sample.

So, For this purpose, we know that the

The standard deviation of the sample is the standard deviation of population divided by the square root of the length of the sample.

In this problem, we have that the value of alpha is

\(\alpha = 1.6\)

Suppose that for aluminum alloy sheets of a particular type,

If X is the sample mean Young's modulus for a random sample of n = 64 sheets, and the standard deviation of the X distribution is given by

\(s = \frac{\alpha}{\sqrt{64} }\)

then solve it then the standard deviation

s =  {1.6} / {8 }

s = 0.2

So, The standard deviation of the x distribution is 0.2.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Given that Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively.

a. If X is the sample mean Young's modulus for a random sample of n = 64 sheets, the sampling distribution of X centered at 70 GPa, and the standard deviation of the X distribution is given by

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The height of the lean-to on its vertical side is 8 feet.

To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.

So, we have:

\(height^2 = hypotenuse^2 - width^2\)

We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:

\(height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8\)

Therefore, the height of the lean-to on its vertical side is 8 feet.

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Answer:

C. 8, H. 6x^2+43x+55

Step-by-step explanation:

You're looking for a value that will make x-2=6, since you add exponents. So W^8/W^-2 is equal to 1/W^6. Since 8-2=6.

A= length * width

(2x+11)(3x+5), foil it out by taking 2x(3x+5), then 11(3x+5).

6x^2+10x+33x+55, combine like terms

6x^2+43x+55

Answer:

26. H: \(6x^2+43x+55\)

Step-by-step explanation:

\(( 2x + 11 ) ( 3x + 5 )\)

\(6x^2+43x+55\)

The given statement is FALSE.

If one or more data items are much greater than the other items, the median, rather than the mean, is more representative of the data.

When one or more data items are much greater than the other items, these extreme values can greatly influence the mean.

When you have a skewed distribution, the median is a better measure of central tendency than the mean

The median and mean can only have one value for a given data set. The mode can have more than one value

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Answer:

a) \(\sf x = 1.4\)   b) \(\sf x = 1.3\)

Let the missing numbers be x,

solving steps:

a)

\(\sf 2.8 * x = 3.92\)

\(\sf x = \frac{3.92}{2.8}\)

\(\sf x = 1.4\)

b)

\(\sf x * 1.7= 2.21\)

\(\sf x = \frac{2.21}{1.7}\)

\(\sf x = 1.3\)

The no of times a stone hit the ground when the stone gets stuck in the tire and the car travels 1 km having a radius of 36 cm is 442.

The radius is a line segment connecting the center of a circle or sphere to its perimeter or boundary in geometry. It is a crucial component of spheres and circles and is typically denoted by the letter "r".

Given:

The radius of the car tire, r = 36 cm,

Total distance traveled by car, d = 1 km or, 100000 cm,

Calculate the circumference, which is equal to the distance covered by a car during one revolution of the tire.

Circumference = \(2\pi r\)

Circumference = 2 × 3.14 × 36 = 226.08 cm

So the no of round car tires revolute to cover 1 km is = 100000 / 226.08 = 442.3 and the stone will hit the ground 1 time for 1 revolution of the tire.

Therefore, the no of times a stone hit the ground when the stone gets stuck in the tire and the car travels 1 km having a radius of 36 cm is 442.

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Answer:

\(\dfrac 3{10}\)

Step-by-step explanation:

\(~~~~~~\dfrac 25 + x = \dfrac 7{10}\\\\\\\implies x = \dfrac 7{10} - \dfrac 25\\ \\\\\implies x = \dfrac 7{10} - \dfrac 4{10}\\\\\\\implies x = \dfrac{7-4}{10}\\\\\\\implies x = \dfrac 3{10}\)

The sentence that is true is;

Option D. if a given quantity is increased by 30% and then that result is decreased by 30%, the quantity is restored to what it originally was.

This statement is accurate since a quantity always returns to its original value when increased by a specific percentage and subsequently dropped by the same amount.

When a quantity is increased by 30% and then decreased by 30%, the changes are cancelled out, restoring the original quantity.

Hence, the true statement is that if a given quantity is increased by 30% and then that result is decreased by 30%, the quantity is restored to what it originally was.

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Step-by-step explanation:

the range of a function is the interval or set of the possible and valid y (functional result) values.

the graph shows me that the produced y values are all between -4 and -9.

so, the range is [-9, -4] (smaller number on the left, larger number on the right). both sides included.

please consider that the excluded end point at (3, -6) does not make any difference, as the y value -6 is produced for 2 more x values (like x=-2). so, the y value -6 is included in the range nevertheless.

The coordinates on the graph represents the domain and the range in the form of (x, y).

Where x = domain and y = range.

The coordinates from the graph are:

(-6, -7) to (-4, -4)

(-4, -4) to (1, -9)

(1, -9) to (3, -6)

The range of the following graph is [-9, -4]

A function is a relationship between inputs where each input is related to exactly one output.

We have,

The graph has a curve where each point represents a coordinate in the form of (x, y).

Each of the coordinates represents the domain and the range.

x = domain

y = range

We see from the graph that,

(-6, -7) to (-4, -4)

(-4, -4) to (1, -9)

(1, -9) to (3, -6)

The range is from:

-7 to -4

-4 to -9

-9 to -6

We can write the range interval as:

[-7, -4] U [-4, -9] U [-9, -6]

[-9, -4]

Thus,

The range of the following graph is [-9, -4]

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Answer: I think its A

Step-by-step explanation:

The given function is  increasing from 1 to ∞. Therefore, option A is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

From the given graph, the vertex is (1, -2)

For a function y = f(x), if the value of y increases on increasing the value of x, then the function is an increasing function.

Here, the function is increasing from 1 to infinity.

Therefore, option A is the correct answer.

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Answer:

C

Step-by-step explanation:

Edge 2021

Answer:

C

Step-by-step explanation:

Answer:

4:9 or 4/9

Step-by-step explanation:

4/9 is the simplified version of 24/54.

Answer:

4:9 or 4/9

Step-by-step explanation:

because when we cut of the number in simpler form so this answer comes.

Answer:

X=10

Step-by-step explanation:

1. Subtract 10 from both sides

2. Simplify

3. Divide both sides by the same factor

4. Simplify

Answer:

Let the inverse of f(x) be h(x):

\({ \tt{h(x) = \frac{1}{4x} }}\)

Answer:

Hello!! Your answer is 25% I think!

Hope this helps!!

Answer:

k = -2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.2k - 4.3 = 12.6k + 14.5

Step 2: Subtract 3.2k on both sides

-4.3 = 9.4k + 14.5

Step 3: Subtract 14.5 on both sides

-18.8 = 9.4k

Step 4: Divide both sides by 9.4

k = -2

Answer:

6

Step-by-step explanation:

Step 1:

12 - 4 = x + 2

Step 2:

8 = x + 2

Step 3:

8 - 2 = x

Answer:

x = 6

Hope This Helps :)

Answer:

Explanation:

3x · 4 = 7x - (x + 17)

Simplify both sides of the equation

3x (4) = 7x − (x + 17)

3x (4) = 7x + −1 (x + 17) (Distribute the Negative Sign)

3x (4) = 7x + −1x + (−1) (17)

3x (4) = 7x + −x + −17

12x = 7x + −x + −17

12x = (7x + −x) + (−17) (Combine Like Terms)

12x = 6x + −17

12x = 6x − 17

Subtract 6x from both sides

12x − 6x = 6x − 17 − 6x

6x = −17

Divide both sides by 6

6x / 6 = −17 / 6

Simplify

x = ⁻¹⁷⁄₆

Turn the fraction into a decimal

-17 ÷ 6 = -2.83333333333

Answer:

276

Step-by-step explanation:

Answer:276

Step-by-step explanation:trust me bro

In the United States, a bushel is legally defined as 2,150.42 cubic inches or approximately 35.24 liters. The weight of a bushel depends on the density of the item being measured.

For example, a bushel of wheat weighs approximately 60 pounds, a bushel of soybeans weighs approximately 60 pounds, and a bushel of apples weighs approximately 42 pounds.

A bushel is a unit of measurement used to quantify dry goods such as grains, fruits, and vegetables. The exact weight of a bushel can differ depending on the item being measured.

It is worth noting that the bushel is not a universal measurement, and other countries may use various standards for measuring dry goods.

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Answer:

3

Step-by-step explanation:

Any number and variable combined is a term.

So 8 (#1 - Constant), + 19y (#2 -Coefficient + Variable), - 4z (#3 -Coefficient + Variable)

3 terms - B