f(x) = x^2. What is g(x)?

Here are the pairs matched with their products:

- (-5)(4.2) matches with -21

- (-7)(-3) matches with 21

- (2.5)(-9) matches with -22.5

Pairs (4) and (5) do not have corresponding products in the given options.

Answer:

1/2

Step-by-step explanation:

There are a total of 25 students. 3 don't study art or biology. 10 study only biology. 6 study both art and biology. This means the remaining students only study art.

1. Calculate the number of students taking art

only art: 25 - 3 - 6 - 10 = 6

number of students taking art and biology: 6

total number of students taking art: 12

2. Calculate the probability

Out of the 12 total students taking art, 6 are in art and biology.

6/12 = 1/2  

Probability that the student studies Art and biology is; P(A n B) = ½

We are given;

Total number of students in the group; n = 25 students

Number that study both art and biology; n(A u B) = 6

Number that study biology but not art; n(B u A') = 10

Number that study none of the 3 subjects; n(A' u B') = 3

Now;

Number that study only arts is; n(A n B') = 25 - 6 - 10 - 3 = 6

Since n(A u B) = 6

Then;

n(A) = n(A u B) + n(A n B')

n(A) = 6 + 6

n(A) = 12

Thus;

Probability that the student studies Art and biology is;

P(A n B) = 6/12

P(A n B) = ½

Read more about venn diagrams at; https://brainly.com/question/2099071

Answer:

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

Step-by-step explanation:

1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625

The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."

              The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.

              In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."

            Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.

           Mathematical representation:  \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)

To learn more about expanded form,

https://brainly.com/question/102887

The surface area of a cylinder can be found by adding the areas of the top and bottom circles, as well as the area of the side (lateral) surface.

The radius of the cylinder is 1 and one fourth centimeters, which can be written as 5/4 cm. The height of the cylinder is 3 and three fourths centimeters, which can be written as 15/4 cm.

The area of each circle is πr^2, where r is the radius. So, the area of the top and bottom circles is:

2π(5/4)^2 = 25/2 π square centimeters

The lateral surface area of a cylinder is given by the formula 2πrh, where r is the radius and h is the height. So, the lateral surface area of the cylinder is:

2π(5/4)(15/4) = 75/2 π square centimeters

Therefore, the total surface area of the cylinder is:

25/2 π + 75/2 π = 100/2 π = 50 π square centimeters

So, the exact surface area of the cylinder in terms of π is 50π square centimeters. None of the given options matches this answer.

Step-by-step explanation:

Let's assume the amount Mackey initially invested in the 6% account is x dollars.

According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.

The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.

The total interest earned in the year is given as $737.50, so we can set up the equation:

0.06x + 0.085(x + $1000) = $737.50

Simplifying the equation:

0.06x + 0.085x + 0.085($1000) = $737.50

Combining like terms:

0.145x + $85 = $737.50

Subtracting $85 from both sides:

0.145x = $737.50 - $85

0.145x = $652.50

Dividing both sides by 0.145:

x = $652.50 / 0.145

x ≈ $4500

Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.

$4500

$4500

$4500

$4500

Answer:       0.0000039

Step-by-step explanation:

3.9x0.000001=0.0000039

Answer:12

Step-by-step explanation:multiply the numbers and subtract 6 hope this helped

Answer:

Step-by-step explanation:

Helena    Violet       Kaneesha

1b                 1b               1b

x pairs          x pairs        x pairs

Helena  1b +   x pairs of socks

Helena  =  1 b(baseball)  + $7X ( X is the number of pairs of socks)

Helena  -----   $5 + 7X

Since all 3 bought the same thing, multiply the above by 3

answer   =    3(5 +7x)

or Distribute

Answer  =    (3*5) + (3*7x)

Answer:

$4.08

Step-by-step explanation:

Answer:

I think... $4.08 maybe... I may be wrong lol actually that's it..

Answer:

The scale factor is 1.5

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk.

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  or

In a proportional relationship the constant of proportionality k is equal to the slope m of the line

Let

x ----> the quantity of cups of milk

y ----> the quantity of tablespoons of chocolate syrup

k ---> the constant of proportionality

For y=3, x=2 ----->

For y=12, x=8 ----->

For y=3/2, x=1 ----->

For y=15, x=10 ----->

therefore

The table shows a proportional relationship between tablespoons of chocolate syrup and cups of milk

The linear equation is

That means----> The the quantity of tablespoons of chocolate syrup is 1.5 times the quantity of cups of milk

The scale factor is equal to the ratio between tablespoons of chocolate syrup and cups of milk. Is equal to the constant of proportionality k

The scale factor is 1.5

Answer:

Step-by-step explanation:

4.625%- percents and decimals are the same

four and five eighths- five divided by eight is (.625) and 4+ (.625) is 4.625

thirty seven eighths- 37 divided by 8 is 4.625

Answer:

c

Step-by-step explanation:

area is length multiply width 21 and 27 is 567m2

Answer: 5/22

Step-by-step explanation:

simplify at the end

Answer:

the answer is 11/26

Step-by-step explanation:

The Probability that draw results in a wild card 11/26.

What is Probability?

Probability is possibility deals that "occurrence chance random event".

According to the question,

Let 'X' be the random variable drawing wild card.

Number of cards in a deck = 104

From one replacement we get 44 cards

Formula for Probability P(E) =

= = =

P(E) = .

Hence, The Probability that draw results in a wild card 11/26.

Learn more about Probability here

Answer:

t=1

Step-by-step explanation:

Answer:

t=1

Step-by-step explanation:

Answer: 706.001

Step-by-step explanation:

Most logical way is if you re-arrange. If u re-arrange, you will get seven hundred and six one-thousandths. From here it's easy. seven hundred six is 706. one-thousandths is 0.001. If you add 706 and 0.001, you will get 706.001

Answer:the last one

Step-by-step explanation: if his measurement is 8 inches and the M.A.D is 4 inches the others will range less than his.

Answer:

1. 672 inches

Step-by-step explanation:

Question #1

The formula for the volume of a triangular prism is:

V = \(\frac{bh}{2}\)

Where V is the volume, b is the area of the base, and h is the height. You are given the volume and the height. Plug those numbers into your equation.

\(4704 = \frac{b(14)}{2}\)

Now, solve for b. To do this, you must isolate the variable b.

The first step to do this is to multiply both sides by 2. This will get you:

4704(2) = 14b

9408 = 14b

Now, divide both sides by 14 to get:

672 = b.

Therefore, the area of the base is 672 inches.

Question #2

To solve this problem, separate the figure into 2 shapes. You have a triangle with a base of 6 cm and a height of 6 cm, as well as a semicircle with a radius of 3 cm.

After you do this, find the area of each shape separately.

The formula for the area of a triangle is:

\(A = \frac{bh}{2}\),

where A is the area, b is the length of the base, and h is the height. You know the base and the height, so plug those into your equation. You will get:

\(A = \frac{6*6}{2}\\\\A = \frac{36}{2}\\\\A = 18\)

Now you know that the area of the triangle is 18 cm^2.

Let's find the area of the semicircle.

The formula for the area of a semicircle is:

A = \(\frac{1}{2}\)π\(r^2\)

You know the radius, so plug that in to get:

A = \(\frac{1}{2}\)π(\(3^2\))

A = \(\frac{1}{2}\)π(9)

Simplify this to get:

A = 4.5π.

Now, either multiply 4.5 by π to get:

14.1371669412 cm^2

or, multiply 4.5 by 3.14 to get:

14.13 cm^2.

Then, add the area of the triangle, 18 cm^2, by the area of the triangle, 14.13, to get:

32.13 cm^2.

Hope this helps!

Answer:

2-4--2

Step-by-step explanation:

Answer:

An example of scale factoring that could be used in everyday life is when modeling. When modeling and object you don't make it, for example, 10 feet because that cannot fit on a computer screen. So when on a computer you see a much smaller-scale version.

Answer: 1

Identify the point on the axis where x = -9, and find the correlating portion of the function above or below that axis. In this case, the function is equal to 1 when x is equal to -9.

Answer:

y= 1

Step-by-step explanation:

You simply need to look at the graph. When we look at the x-axis and look at -9, the line graphed (y-axis) is at 1.  So point (-9,1) shows us our answer!

Look at my image below for more help!

Hope it helps!

Answer:

1 = 0.61, 2 = 1.13

Step-by-step explanation:

The first is 25 + 25 + 10 + 1. This is 61 cents which is 0.61 of 1 dollar. The second is 100 + 10 + 1 + 1 + 1. This is equal to 113, 0r 1.13

BRAINLIEST PLEASE

Answer:

525

Step-by-step explanation:

If it's just asking to find the average of heads then times it by 20 then just do 32+28+21+24 to get 105 and divide it by 4 to get 26.25 then times it by 20 since this is the average of 50 throws and it's asking for the average of 1,000 throws which is 525

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

Answer:

10

3

6

-1

3

Step-by-step explanation:

Answer: C

Step-by-step explanation:  because you it has the greatest with an ration is 4 by 8

Answer:

2

Step-by-step explanation:

proportional relationship: must be straight line and go through (0, 0).

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \: C. 2 \)

____________________________________

\( \large \tt Solution \: : \)

Proprtional relationship can be depicted as :

\(\qquad \tt \rightarrow \: y \propto x\)

[ to get rid of proportionality sign, we use constant c ]

\(\qquad \tt \rightarrow \: y = cx\)

Now, conclusion can be made that the shown equation represents a straight line.

And the graph has two straight lines, which means proportional relationship is shown by Two members

Answered by : ❝ AǫᴜᴀWɪᴢ ❞