How do you dilate a figure on the coordinate plane and determine its scale factor?

The equation in function notation to represent Ainsley's salary is y = $24,500 * (1 + 0.03x) and  Ainsley's salary will be $26,940 when she begins her fourth year working at the bookstore.

What is an equation in function notation?

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.

a. Let y be Ainsley's salary after x years of working at the bookstore.

The equation representing Ainsley's salary as a function of the number of years she has been working at the bookstore is y = $24,500 * (1 + 0.03x).

b. To find Ainsley's salary when she begins her fourth year working at the bookstore, we need to plug in x = 3 into the equation:

y = $24,500 * (1 + 0.03x)

y = $24,500 * (1 + 0.03 * 3)

y = $24,500 * 1.09

y = $26,940.

Hence, The equation in function notation to represent Ainsley's salary is y = $24,500 * (1 + 0.03x) and  Ainsley's salary will be $26,940 when she begins her fourth year working at the bookstore.

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Answer:

1

Step-by-step explanation:

2*-4+3*3

-8+9

1

Brainliest pleaseeeee

Answer: i think you just substitute: 2(-4)+3(3) = 1

Step-by-step explanation:

The number that satisfies the result is a perfect cube but not a perfect square is 32768

The number needs to be both a perfect cube and a perfect square. The only 5-digit number that fulfills this requirement is 32768, which is equal to 2¹⁵.

When this number is divided by 4, the result is 8192 (32768/4), which is a perfect square because it can be expressed as 2¹³. However, it is not a perfect cube since it cannot be expressed as an integer raised to the power of 3.

On the other hand, when the number 32768 is divided by 27, the result is 1216 (32768/27), which is a perfect cube because it can be expressed as 2⁶ * 19³. However, it is not a perfect square since it cannot be expressed as an integer raised to the power of 2.

Therefore, the number that satisfies all the given conditions is 32768.

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The fraction of the course that are male is 1/4

The given parameter is:

Female = 3 * Male

As a fraction, we have:

Female + Male = 1

Substitute Female = 3 * Male in the above equation

3 * Male + Male = 1

This gives

4 * Male = 1

Divide by 4

Male = 1/4

Hence, the fraction of the course that are male is 1/4

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Answer: 1.) 4x+51

2.) 3x+26

Step-by-step explanation: you would multiply 3 by 17 and that is 51. And 2 multiplied by 13 is 26.

To find out how many blocks and pavers should be produced, we need to calculate the total profit for each type of product.

Let's start with the blocks:
- Given that the net profit per structured block is $0.25, we need to calculate the total profit by multiplying the net profit per block by the quantity of cement, sand, and gravel available.

- We have 2 tons of cement, which is equal to 2,000 kilograms. Assuming each block requires 1 kilogram of cement, we have enough cement to produce 2,000 blocks.
- Similarly, we have 3.5 tons of sand, equal to 3,500 kilograms. Assuming each block requires 2 kilograms of sand, we have enough sand to produce 1,750 blocks.
- Lastly, we have 6.3 tons of gravel, equal to 6,300 kilograms. Assuming each block requires 3 kilograms of gravel, we have enough gravel to produce 2,100 blocks.
- To find the total number of blocks, we take the minimum value among the quantities calculated above, which is 1,750 blocks.

Now let's calculate the pavers:
- Given that the net profit per paver is $0.35, we need to calculate the total profit by multiplying the net profit per paver by the quantity of cement, sand, and gravel available.
- We already know that we have 2,000 kilograms of cement, 3,500 kilograms of sand, and 6,300 kilograms of gravel.
- Assuming each paver requires 2 kilograms of cement, 3 kilograms of sand, and 4 kilograms of gravel, we can calculate the maximum number of pavers we can produce with the available materials.
- The minimum value among the quantities calculated above is 2,000 pavers.

Therefore, the recommended quantities to produce are 1,750 blocks and 2,000 pavers.

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Esta semana se dispone de 2 ton de cemento 3,5 ton de arena y 6,3 ton de ripio la utilidad neta por bloque estructurado es $ 0,25 y por adoquines $ 0,35 que cantidad de bloques y adoquines deben producirse, you can produce up to 9450 blocks and 9450 pavers with the available materials.

To determine the number of blocks and pavers that should be produced, we need to calculate how many can be made with the available materials.

Let's start with the blocks. Each block requires a certain amount of cement, sand, and gravel. Let's assume that 1 ton of cement can make 1000 blocks, 1 ton of sand can make 2000 blocks, and 1 ton of gravel can make 1500 blocks. With 2 tons of cement, 3.5 tons of sand, and 6.3 tons of gravel, we can produce:

2 tons of cement * 1000 blocks/ton = 2000 blocks
3.5 tons of sand * 2000 blocks/ton = 7000 blocks
6.3 tons of gravel * 1500 blocks/ton = 9450 blocks

Now let's move on to the pavers. Each paver requires the same amount of cement, sand, and gravel as a block. Assuming the same conversion rates, we can produce:

2 tons of cement * 1000 pavers/ton = 2000 pavers
3.5 tons of sand * 2000 pavers/ton = 7000 pavers
6.3 tons of gravel * 1500 pavers/ton = 9450 pavers

So, with the given materials, you can produce up to 9450 blocks and 9450 pavers. However, keep in mind that the decision on the exact quantity to produce should be based on market demand and production capacity.

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Answer:

y = √55

Step-by-step explanation:

from the Euclidean theorem

y^2 = CB × AC

y^2 = 5 × 11

y^2 = 55

y = √55

The pair of triangles formed are congruent using the side-side-side congruency theorem.

What are congruent triangles?

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same. They coincide if they are repositioned. 'Is the symbol of congruence.

Congruence in mathematics refers to the similarity of two figures based on their shape and size. There are four congruence rules that determine whether two triangles are congruent. However, all six dimensions must be discovered. As a result, the congruence of triangles can be evaluated by knowing only three of six values. Congruent triangles have equal corresponding sides and angles.

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Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

Using the Central Limit Theorem, the given statements are true or false in following

a) True

b) True

c) True

d)True

e) True

a) From the definition of central limit theorem, by law of large number to sample average converge almost slowly to the population average.

So, based on CLT the sample mean be used a3 gond estimator of the population mean assuing that the sample size. sufficiently large i.e ., True.

b) Same reason as (a) , based on CLT the usually considers that sample 51Z6 30 is sufficiently large is true

c) If we generate 1000 samples of Binomial (10;0.3)distribution are plot a histogram then it looks like normal distribution.

So, the Central Limit Theorem be applied to both discrete and continols Fandom variables is true.

d) Whatever be the parent distribution , if sample size ,n is large then sample mean means

converges in probability to the population mean.

So, the given option (d) is true .

e) If population size is normally distributed then sample mean is also normally distributed for all sample size.

So, option(e) is also true.

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Complete question:

Problem Central Limit Theorem) _ Are the following statements true or false?

a)Easy. Based the Central Limit Theorem_ the sample mean be used a3 gond estimator of the population mean assuing that the sample size. sufficiently large.

b)Easy. Then applying the Central Limit Theorem. l usually conziders that sample 51Z6 30 is sufficiently large.

c)Easy. the Central Limit Theorem be applied to both discrete and continols Fandom variables .

d): Assuming that the sample size is sufficiently large the Central Limit Theorem permits draw conclusions about the population based strictly sample data. and without having aIV knowledge about the distribution of the underlying population:

(e) Moderate_ Assuming that the population is normally distributed_ the sampling distribution of the sample mean is normally distributed for samples of all sizes_

The antiderivative of the function f(x) = e^(-x) - e^(4x) is given by -e^(-x) - (1/4)e^(4x)/4 + C, where C is the constant of integration. This represents the general solution to the indefinite integral of the function.

In simpler terms, the antiderivative of e^(-x) is -e^(-x), and the antiderivative of e^(4x) is (1/4)e^(4x)/4. By subtracting the antiderivative of e^(4x) from the antiderivative of e^(-x), we obtain the antiderivative of the given function.

To evaluate a definite integral of this function over a specific interval, we need to know the limits of integration. The indefinite integral provides a general formula for finding the antiderivative, but it does not give a specific numerical result without the limits of integration.

To compute the antiderivative of the function f(x) = e^(-x) - e^(4x), we can use basic integration formulas.

∫(e^(-x) - e^(4x))dx

Using the power rule of integration, the antiderivative of e^(-x) with respect to x is -e^(-x). For e^(4x), the antiderivative is (1/4)e^(4x) divided by the derivative of 4x, which is 4.

So, we have:

∫(e^(-x) - e^(4x))dx = -e^(-x) - (1/4)e^(4x) / 4 + C

where C is the constant of integration.

This gives us the indefinite integral of the function f(x) = e^(-x) - e^(4x).

If we want to compute the definite integral of f(x) over a specific interval, we need the limits of integration. Without the limits, we can only find the indefinite integral as shown above.

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Answer:

there are 12 in a dozen so in 2 there will be 24 so 14400/24 is 600 so 600 an orange.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

c=a^2+b^2=9^2+40^2=41

Answer:

yes

Step-by-step explanation:

The graph represents a function because it passes the vertical line test

From the complete question, the given graph is a linear graph

All linear graphs represent a function

This is so because they have constant slopes, and they pass the vertical line test

Hence, we can conclude that the graph represents a function

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The length of the rectangle = 8 inches

The width of the rectangle, w = 15 inches

The diagonal, d = 17 inches

The length of the rectangle, l = ?

The diagram is drawn below

The diagonal of the rectangle forms a right triangle with the width and the length. Therefore, the length will be found using the Pythagora's theorem

The length of the rectangle = 8 inches

Answer:

12

Step-by-step explanatik just need the points

The two column proof is completed by

Statement                                            Justification

1. DE || KL                                        1. Given

2. < DFE ≅ < LF-K                            2. Vertical Angles Theorem

3. < DEF ≅ < LKF                            3. Alternate Interior Angles Theorem

4. Δ FDE ≅ Δ FLK                           4. AAS postulate

According to the AAS Postulate, triangles are congruent if two angles and the non-included side of one triangle are congruent with two angles and the non-included side of another triangle.

In the given problem the side is non included and the angels are congruent and hence completes the proof

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Answer:

1.25, I got you :D

Step-by-step explanation:

Answer:

500 I think.

Step-by-step explanation:

25 x 100% / 5%

a) Median will be an appropriate measure for the distribution. b) Mean will be an approprate measure for the distribution.

Here we already have the data available to us. From the data, we can clearly see that

Mode < Mean < Median

Hence this is a negatively skewed distribution.

Therefore the appropriate measure of central tendency for this distribution will be the median. The median will tell us the point at which the frequency is divided by 50%.

Hence we can say that the median will a more appropriate measure.

Now if the data has another aspect of sex included, then the frequency column would be divided into separate columns with each gender identity taking up its own column.

Since now this will become multivariate data, the best measure of central tendency will be Mean.

The difference in the measure of central tendency will depend upon how skewed the data for every sex will be. For example, if in a country, men preferred to be educated over women, then the mean for men will be a lot higher than that of women. On the other hand, the EDUC for women will be a lot lower.

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Answer:

What do you want me to do? It is already solved

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

because 14132.77/14.5%

Answer:

The area of one face is 25 units squared. The cube has 6 faces. The surface area is 150 units squared.

Step-by-step explanation:

Answer:

A) the area of one face is 20

B) the cube has 6 faces

C) the total surface area is 120

Step-by-step explanation:

for A you would need to multiply 5 by 4 which is 20

for B if you have common sense you would know that every cube has 6 faces

for C you just multiply the area of on face (20) by 6 which is 120

Answer:

x = 12 units

Step-by-step explanation:

In the picture attached,

Since, DE and BC are the parallel lines,AC and AB are the transverse.

Therefore, ∠AED ≅ ∠ABC [Alternate angles]

∠ADE ≅ ∠ACB [Alternate angles]

ΔADE ~ ΔACB [By AA postulate of similarity]

By the property of similarity,

If two triangles are similar then their corresponding sides will be proportional.

\(\frac{\text{AB}}{\text{AE}}=\frac{\text{AC}}{\text{AD}}\)

\(\frac{(4+8)}{4}=\frac{(6+x)}{6}\)

\(3=1+\frac{x}{6}\)

x = 12

Therefore, length of missing segment is 12 units.

Answer:

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Step-by-step explanation:

An easy way to do this is to write each in decimal form

2/3 = .666666......

2/5 = .4

7/8 = .875

.75

1/10 = .10

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Answer:

V≈5.58ft³     d=2.2 ft

Step-by-step explanation:

V=4  3πr3

d=2r

Solving for V

V=1  6π d3 =1  6·π·2.23≈5.57528ft³

Hope this helps! :D

Answer:

5.6 ft  

Step-by-step explanation:

\text{Volume of a Sphere:}

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=  

3

4

​  

πr  

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{2.2}{2}=1.1

radius=  

2

diameter

​  

=  

2

2.2

​  

=1.1

feet

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (1.1)^3

3

4

​  

π(1.1)  

3

5.57527976257

Answer:

1600$

Step-by-step explanation:

By using the SI formula,

\(SI={PXRXT}/{100} \\SI=10000X2X8/100\\SI = 1600$\\\\Hence, the interest is 1600$\)$

Option C) 1600$ is correct

Mark me brainliest

Answer:

Yes of course God is real.

Step-by-step explanation:

One way god is  to prove that God is real is to simply look at the world in which we live. The beauty, complexity and organization of the material world around us point toward a master Designer.

We have shown that if a sequence of functions in S converges normally to some function f(z), then f(z) also belongs to S, i.e., S is closed under normal convergence.

To show that S is closed under normal convergence, we need to show that if a sequence of functions {f_n(z)} in S converges normally to some function f(z), then f(z) also belongs to S.

First, we know that each function f_n(z) in S is analytic on the open unit disk {|z| < 1}, so their limit function f(z) must also be analytic on the same disk.

Next, we know that each f_n(z) is univalent on the disk and satisfies f_n(0) = 0 and f_n'(0) = 1. Since the convergence is normal, we have uniform convergence of the derivatives f_n'(z) to the derivative f'(z) of the limit function f(z) on compact subsets of the unit disk. In particular, this means that f'(0) = 1, which is one of the conditions for belonging to S.

To show that f(z) is univalent on the disk, let's assume the contrary, i.e., there exist two distinct points z_1 and z_2 in the unit disk such that f(z_1) = f(z_2). Then, by the identity theorem for analytic functions, f(z) must be identically equal to f(z_1) = f(z_2) on an open subset of the unit disk containing both z_1 and z_2. But this contradicts the assumption that f(z) is univalent, so our assumption must be false and f(z) is indeed univalent on the disk.

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To show that S is closed under normal convergence, let {fn} be a sequence of functions in S that converges normally to some function f in the open unit disk.

We want to show that f is univalent, f(0) = 0, and f'(0) = 1.

Since fn converges normally to f, we have that for any ε > 0, there exists an N such that for all n > N and for all z in the unit disk, |fn(z) - f(z)| < ε.

Let z be any nonzero point in the unit disk. Then we have:

f(z) - f(0) = (f(z) - fn(z)) + (fn(z) - fn(0)) + (fn(0) - f(0))

To show that f is univalent, suppose for contradiction that f is not univalent. Then there exist two distinct points z1 and z2 in the unit disk such that f(z1) = f(z2). Let ε be small enough such that the disks of radius ε centered at z1 and z2 are contained in the unit disk. Since fn converges normally to f, there exists an N such that for all n > N and for all z in the disk of radius ε centered at z1 or z2, we have |fn(z) - f(z)| < ε.

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