What is the average rate of change of the function f (x) = between x = 1 and
x= 3?

Since the area of the figure changed by a factor of 25, a factor by which the dimensions of the pentagon were multiplied include the following: C. 5.

In Geometry and Mathematics, a scale factor simply refers to the ratio of two corresponding side lengths in two similar geometric figures such as pentagons, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.

In Geometry, the scale factor of the dimensions of a geometric figure can be calculated by using the following formula:

(Scale factor of dimensions)² = Scale factor of area

(Scale factor of dimensions)² = 25

Scale factor of dimensions = √25 = 5

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Answer:

c.5

Step-by-step explanation:

Answer:

342 ÷ 23 = 14.869565217 or 14 r 20

Check step-by-step explanation below for 2 methods to solve.

14.869565217 method right below

14 r 20 method at the bottom in bold and underlined

Hope this helps :)

Step-by-step explanation:

divisor

↓ ? <------ quotient

23 | 342 <------ dividend

remainder = r (the number that the divisor can't go into.

1) 23 goes into 34 one time, so we write the one on top.

1

23 | 342

2) 23 • 1 = 23 so then we subtract 23 from 34 and get 11.

1

23 | 342

- 23

1 1

3) Now we carry down the 2 and get 112.

1

23 | 342

- 23 ↓

1 1 2

4) 23 goes into 112 four times, so we write the four on top.

1 4

23 | 342

- 23 ↓

1 1 2

5) 23 • 14 = 92 so we subtract 92 from 112 and get 20.

1 4

23 | 342

- 23 ↓

1 1 2

- 92

20

6) 23 can't go into 20 so we add a decinal and a zero to 342 (dividend) and add a decimal to 14 too.

1 4.

23 | 342.0

- 23 ↓

1 1 2

- 92

20

7) Repeat the same steps again (Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor (if greater use it if less than take the next number). Then divide it by the divisor and write the answer on top as the quotient. Subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Repeat the same process.)

1 4.8

23 | 342.0

- 23 ↓↓

1 1 2

- 92

200

- 1 84

16

8) Keep repeating and then we get 14.8695652174

*However, if the directions say to not continue and add the decimal and zero then we must put a remainer (r).*

1 4 r 20

23 | 342

- 23 ↓

1 1 2

- 92

20

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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A statement which is correct include the following: A. Roses cost $2.75 more than daisies.

In order to write a system of linear equations to describe this situation, we would assign variables to the cost of roses and cost of daisies, and then translate the word problem into a linear equation as follows:

Based on the information provided about the flowers purchased by Marla and Kelly. we have the following system of linear equations;

7x + 10y = 40.5

3x + 15y = 30.75

By solving the system of linear equations simultaneously, we have:

x = 4 and y = 1.25

Difference = 4 - 1.25

Difference = $2.75

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Answer:

The given equation results in 1.98, so the answer is D) 2

✏ \(\sf Solve\)

\(\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98\)

Answer:

119.32

Step-by-step explanation:

\(A = 2 * 3.14 * 19 = 119.32\)

Answer:

p > 34

He wrote more than 34 pages before today.

Step-by-step explanation:

Eduardo wrote 16 more pages, increasing his total number of pages above 50.

p = pages he wrote before today

p + 16 > 50

p > 50 - 16

p > 34

He wrote more than 34 pages before today.

Answer:

384 8x8=64 64x2=128 128x3=384

Step-by-step explanation:

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The sample in the given study says that D. the 51 teenagers in the study.

Statistics is a branch οf mathematics that deals with the cοllectiοn, analysis, interpretatiοn, presentatiοn, and οrganizatiοn οf data

The sample in the given study is:

Hence, D. the 51 teenagers in the study

The sample is the grοup οf individuals whο were selected tο participate in the study and frοm whοm data were cοllected.

In this case, the sample cοnsists οf the 51 teenagers whο were treated with garlic in a prοcessed tablet fοrm.

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Answer:

7

Step-by-step explanation:

When x = 5, 2x³ - 12x² + 11x + 2 = 7.

Angle formed by BA and BG is ∠ABG.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

The angle formed by both the rays BA and BG is angle ABG.

The two rays are called the sides of an angle, and the common endpoint is called the vertex.

In the given angle B is the vertex.

Hence, angle formed by BA and BG is ∠ABG.

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Answer:

8x-16

Step-by-step explanation:

2 + 3x-9 + 1 -10 +5x

-16 + 8x so 8x-16 is your answer

Answer:

x=8

y=138

Step-by-step explanation:

5x+2+6x=90

11x+2=90

11x=88

x=8

y+5x+2=180

y+40+2=180

y+42=180

y= 138

Answer:

A    No Annual Fee

Step-by-step explanation:

Edge 100%

Pappi

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

cgtcdtxcgv gg ok

Step-by-step explanation:

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Answer:

they are parallel, aka "A"

Step-by-step explanation:

the lines (NOT line segments) never ever cross or meet eachother so they must be paralell

Answer:

It is the || button.

Step-by-step explanation:

|| means that 2 lines are parallel, which is proven to be true in the figure because both lines are perpendicular to line D

Answer:

=5x2-(20-5)x-20

=5x2-20x+5x-20

=5x(x-4)+5(x-4)

=(x-4)(5x+5)

Answer:-5(2+3x)

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

Yes - those are 2 semicircles so their combined area = πr^2

= 3^2π

= 9π.

Yes.. You can count it as full circle.

Answer:

3.9 squre inch

Step-by-step explanation:

Two semicircles are inscribed in a square of side 6 in. Both the semicircles if combined together will form a full circle.

Area of the yellow region would be half of the areas of the difference between area of square and area of two semicircles each with radius 3 inches.

Therefore,

Area of yellow region

\( = \frac{1}{2} (area \: of \: square - 2 \times area \: of \: semicircle) \\ \\ = \frac{1}{2} ( {6}^{2} - 2 \times \frac{1}{2} \pi {r}^{2} ) \\ \\ = \frac{1}{2} ( {6}^{2} - 3.14 \times {3}^{2} ) \\ \\ = \frac{1}{2} ( 36 - 3.14 \times 9 ) \\ \\ = \frac{1}{2} ( 36 - 28.26 ) \\ \\ = \frac{1}{2} \times 7.74 \\ \\ = 3.87 \: {in}^{2} \\ \\ = 3.9 \: {in}^{2}\)

Points that are not on the same line are said to be noncollinear.

The set of points between A and C is a line segment.

From the question, we understand that A, B and C are not on the same line.

We do not know if the distance between AB is the same as the AC and BC, so the set of points cannot be a circle.

For the set of points to be an angle, it must pass through A, B and C.

Since it only passes through A and C, the set of points cannot be an angle.

A ray has only one endpoint, so the set of points cannot be a ray.

A line segment has two endpoints;

Since the points are between A and C, we can consider A and C as the endpoints of the line.

Hence, the set of points between A and C is a line segment.

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Answer:

d. Yes, there appears to be a linear trend, but the fit is not exact.

Step-by-step explanation:

Answer:

x could be anything but might be 3<4 or 5?8 u really never kno

Answer: We can use the information given to find the number of stars in the universe by multiplying the number of galaxies by the number of stars per galaxy:

number of stars = (10 ^ 11 galaxies) x (10 ^ 11 stars per galaxy)

This is a simple arithmetic problem and we can find the solution by multiplying the numbers 10^11 and 10^11

10^11 * 10^11 = (10101010101010101010)(101010101010101010*10) = 10^(11+11) = 10^22

So, there are estimated to be 10 ^ 22 stars in the known universe.

Step-by-step explanation: