Suppose that f(x) = x² and g(x)=2/5x². Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) compressed vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically.
C. The graph of g(x) is the graph of f(x) compressed vertically and
reflected over the x-axis.
OD. The graph of g(x) is the graph of f(x) stretched vertically and
reflected over the x-axis.

Answer:

12500

Step-by-step explanation:

2:3:5

^

smallest share

5 - 2 = 3

7500 / 3 = 2500

2500 × 5 = 12500

2500 × 2 = 5000

Check to see if correct:

12500 - 5000 = 7500

The answer will be 12500, hope this helps.

Answer:

B on edge

Step-by-step explanation:

:))

The component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Consider the points Q(23, 48) and R(7, 62).

The x component = 7 - 23 = -16

The y component = 62 - 48 = 14

QR = <-16, 14>

Thus, the component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.

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The length of the longest leg in the right triangle is 5 units

Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.

By the Pythagorean Theorem, we have:

x^2 + (x + 1)^2 = (x + 2)^2

Set x = 3

So, we have

3^2 + (3 + 1)^2 = (3 + 2)^2

Evaluate

25 = 25

The above equation is trie

So, we have

Longest = x + 2

Longest = 3 + 2

Evaluate

Longest = 5

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Answer:

the answer is -12x if I am correct. Not very sure

Step-by-step explanation:

-12x

Answer:

-4x+12 is correct answer

Answer:

X = 35

Step-by-step explanation:

(3/15) = (7/X)

3X = 15 * 7

3X = 105

X = 105/3

X = 35

Answer:

x=35

Step-by-step explanation:

So, cross multiply. 3/15=7/x

15*7=105

105/3= 35

x=35

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Because tax rules and regulations can change annually, it's essential to keep in mind that this response might not be appropriate for subsequent tax years.

The standard deviation is a measurement of how far away from the mean or average value a collection of data is. It is a statistical measure that aids in our comprehension of the degree of variance or dispersion in a dataset. We can use the following formula to determine a collection of data's standard deviation: xi - yi = sqrt [xi - yi)2 / N]

where: The standard variation is denotes the total of each unique data point in the dataset, where xi represents the dataset's norm. The dataset's total amount of data points is N. The average distance between each data point and the dataset's mean is calculated using the algorithm, and the square root of this average is used to determine the standard deviation.

given

For the tax year 2022, the standard exemption for a taxpayer who chooses the Single filing status is $12,950.

Clarence would probably use the Single filing separately for his 2022 tax return because he is a widower and resides alone. His statutory deduction would therefore be $12,950 for the 2022 tax year.

Because tax rules and regulations can change annually, it's essential to keep in mind that this response might not be appropriate for subsequent tax years.

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The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.

Given that

Dimension of matrix  = 7×5

Rank of matrix = 4

The range space of A,

Which is a subspace of R, is known as R(A).

It is made up of all conceivable linear combinations of A's columns.

The dimension of R(A) =  rank of A,

Which is 4 in this case.

The null space of the transpose of A,

Which is also a subspace of R, is designated as N(AT).

All potential answers to the equation ATx = 0,

Where x is a R column vector, are included in it.

N(AT) has a dimension = nullity of A,

which in this case is 3 in this example.

The range space of the transposition of A, is designated as R(AT).

The rows of A are arranged in all conceivable linear configurations.

The rank of A = 4

Thus it equal to dimension of R(AT).

N(A) is the null space of A.

Axe = 0, where x is a column vector in R, are included in it.

The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).

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Answer:

c. less than symbol < because -26 is less than 54 because its far to the left from 54

The area of the segment is 9( π-2) units²

The area of a figure is the number of unit squares that cover the surface of a closed figure.

A segment is the area occupied by a chord and an arc. A segment can be a major segment or minor segment.

Area of segment = area of sector - area of triangle

area of sector = 90/360 × πr²

= 1/4 × π × 36

= 9π

area of triangle = 1/2bh

= 1/2 × 6²

= 18

area of segment = 9π -18

= 9( π -2) units²

therefore the area of the segment is 9(π-2) units²

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Answer:

√38

Step-by-step explanation:

√38

step 1: Check which squared numbers can be multiplied by another number to get 38.

Start with these numbers: 4, 9, 16, and 25

Step 2: Testing out the numbers

√25 × __ = 25 can't be divided by 38

√16 × ___ = 16 can't be divided by 38

√9 × ____ = 9 can't be divided by 38

√4 × ____= 4 can't be divided by 38

Step 3: Answer

After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38

I hope this helps!

Answer:

Step-by-step explanation:

pay rate = R = 60 dollars/hour

And time is 3 hours

60(t) + c = 220

So c can be computed(solve) by plugging back t value of 3 hours.

60(3) + c = 220

c = 220-180 => 40

Now the final equation is

F = 60(t) + 40, where F is the final cost

Answer:

The answer is 94.25 sq.in

Step-by-step explanation:

Given rectangle- 7 1/4 in by 13

to fin area for one of the triangles

For triangle, base = 13 in, height = 7 1/4 in, = 29/4 in

Area- 1/3 x base x height = 1/2 x 13 x 29/4 in. 2

= 37/4 in. 2

= 94.25 sq. in

Answer: it is b because 2.5 lbs = 40 oz. then i know that 40 is half of 80 then there is not way it is the 1000 pound choice

Step-by-step explanation:

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

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The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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Answer:

\(D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}\)

Step-by-step explanation:

ax² + bx + c = 0

\(a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0\)

\(a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0\)

\(a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0\)

\(a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0\)

\(a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}\)

\(\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}\)

\(x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}\)

\(x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}\)

Answer:

\(y=-4x+5\)

Step-by-step explanation:

The equation of a line with slope \(m\) and \(y\)-intercept \((0,b)\) is \(y=mx+b\).

......hope it helps......

Answer:

yes,.to obtain sinx as 1 the angle must be 90degrees

so the answer is correct

but there are more solutions like when the cosine angle is 45 the answer is 1

and when x is 450 still sinx = 1..that is to say sin450= 1

Answer:

We can use algebra to solve this problem. Let's call the unknown number x.

We are given that 10% of x is 40, so we can write that as:

x * 10% = 40

x * 0.1 = 40

We are also given that 55% of x is 220, so we can write that as:

x * 55% = 220

x * 0.55 = 220

We can now use these two equations to solve for x.

From the first equation, x = 40 / 0.1 = 400

We can substitute that value of x into the second equation to check if it's true.

400 * 0.55 = 220

Now, we have the value of x, we can use it to find 65% of that number.

x * 65% = x * 0.65 = 400 * 0.65 = 260

So, 65% of that number is 260

Answer:

260

Explanation:

Formulate: 220+40

----------------------/\  You should know the answer by now

Answer:

3(x+7)=57

Step-by-step explanation:

3 is being multiplied by "the sum of a number(or x) and 7". So, we write it as 3(x+7). That is equal to 57, so that makes the expression 3(x+7)=57.

-hope it helps

Equivalent expressions are expressions that have the same values.

The expression is \(3(x + 7) = 57\) and the number is 12

Represent the number with x.

So, the sum of a number (x) and 7 would be represented as: x + 7

Three times the sum would be represented as: 3(x + 7)

This expression is equivalent to 57.

So, we have:

\(3(x + 7) = 57\)

Divide both sides of the equation by 57

\(x + 7 = 19\)

Subtract 7 from both sides of the equation

\(x + 7 - 7 = 19 - 7\)

\(x = 12\)

Hence, the number is 12

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9514 1404 393

Answer:

  (a) 90°, 90°

  (b) 5, 1

  (c) 10°, 20°

  (d) 10°, 20°, 150°

Step-by-step explanation:

You need to consider ways in which each statement might not apply.

(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.

  counterexample: m∠1 = 90°, m∠2 = 90°

__

(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:

  counterexample: length = 5, width = 1

__

(c) All that is required is that the sum of angles be 30°. They don't have to be equal.

  counterexample: m∠ABC = 10°, m∠CBD = 20°

__

(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.

  counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°

Answer:

8.604 in.

Step-by-step explanation:

We can use the formula for compound interest to find the height of domino #9:

A = P(1 + r)^n

where A is the final amount, P is the initial amount, r is the growth rate, and n is the number of compounding periods. In this case, P is the height of domino #0, r is 15% or 0.15, and n is 9 (since we want to find the height of domino #9).

Substituting the given values:

A = 3.00 in * (1 + 0.15)^9

Simplifying:

A = 3.00 in * 2.86797199

A ≈ 8.604 in

Therefore, the height of domino #9 is approximately 8.604 inches.

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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Answer:

60

Step-by-step explanation:

3/2t-16=4/3t-6

       +16      +16

3/2t=4/3t+10

      -4/3t

(t/6)6/1= 10(6/1)

t=60

Answer:

\(t=60\)

Step-by-step explanation:

To get both variables on one side, do the opposite of their current form and move them over (I'm not sure how else to explain this, so I'm just going to show you).

\(\frac{3}{2} t-16=\frac{4}{3} t-6\)

You see that the \(\frac{4}{3} t\) is positive, so you subtract it. The same goes for the -16 (do the opposite). You would add the -16 to the other side.

You need to do the opposite of them because only one number exists. If you move it, you need to cancel it out so that there is always only one of that number. (so when you add the -16 to the other side, the one on the left cancels out, but the same value (16) is still present on the right side and is added).

\(\frac{3}{2} t-\frac{4}{3} t=-6+16\)

Now you have this after moving like terms to their coinciding sides (you could do this any way, btw. It doesn't matter what order you add everything, so long as you get t on one side and by itself).

\(\frac{9}{6} t-\frac{8}{6}t =-6+16\\\frac{1}{6} t=10\\(\frac{6}{1} )(\frac{1}{6} t)=(\frac{6}{1} )(10)\\t=60\)

** Everything you do on one side, you need to do on the other side. This is a very important rule (and it goes hand in hand with the idea that there can only be one of each value, unless the exact same value appeared on both sides in the given equation).

Answer:

a) -4(3x + 4)

Step-by-step explanation:

Factor -12w - 16.

-4(3x + 4)