100 POINTS!!

PLEASE PROVIDE STEPS

Answer:

Five

Step-by-step explanation:

A quart is 4 cups

4x5 is 20

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex] and this can be determined by using the arithmetic operations.

Given :

[tex]f(x) = 3x\\g(x) = 5x[/tex]

The following steps can be used in order to determine the expression of (fog)(x):

Step 1 - Write the given function.

[tex]f(x) = 3x\\g(x) = 5x[/tex]

Step 2 - Now, replace 'x' by g(x) in order to determine the expression of (fog)(x).

[tex](fog)(x)=3\;g(x)[/tex]

[tex](fog)(x)=3\times 5x[/tex]

Step 3 - Simplify the above expression.

[tex](fog)(x)=15x[/tex]

The expression of (fog)(x) in the simplest form is [tex](fog)(x)=15x[/tex].

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Reasoning:

If it is at all possible to draw a single vertical line through more than one point on the curve, then the graph is not a function. With graphs (2), (3) and (4), we can draw a vertical line through more than one point on those curves, so they aren't functions. Graph (1) is the only thing left. This graph is a function because it is not possible to draw a single vertical line through more than one point. It passes the vertical line test. Any input (x) leads to exactly one and only one y output.

Nice work on getting the correct answer when you chose "graph (1)".

Answer:

-3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer: -3x^3 + x^2 + 4x +6

Answer is C

Step-by-step explanation:

Answer:

The volume of Gabe's kitchen is 680 ft^3

Step-by-step explanation:

The volume of the kitchen can be derived by multiplying the floor area of the kitchen by the height.

Volume = floor area × height

Given;

Floor area = 85 ft^2

Height = 8 ft

Substituting the given values into the equation;

Volume = 85 × 8 = 680 ft^3

The volume of Gabe's kitchen is 680 ft^3

Answer:

9π cm - exact value

28.26 cm - approximate value

Step-by-step explanation:

C = πd =9π cm - exact value

or

C=9π≈ 28.26 cm - approximate value

Answer:

B. 20

Step-by-step explanation:

5P2 is equal to 20 using the permutation formula.

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

Step-by-step explanation:

Question 19:

Answer: C. 1.25 miles

So far, [tex]\frac{1}{10}[/tex] of the 12.5 miles is 1.25 miles. Let's see why!

Very simple all we need to is divide by 10 because our fraction is [tex]\frac{1}{10}[/tex]. So our equation is going to look something like this:

12.5 ÷ 10 = 1.25

Therefore, our answer is, C. 1.25 miles.

Phew! I don't think I would want to run 1.25 miles let alone 12.5! That's what I call dedication!

Question 20:

Answer: A. 8 bags

For this question all we need to do is divide 6.24 by 0.78 pounds of trail mix. This is to see how many bags Leon had purchased.

6.24 ÷ 0.78 = 8

Therefore our answer is 8 bags.

TIPS!!!

If you ever have questions like 19 always look for what the denominator is and divide by that.

If you ever have a question like 20 divide by the total amount of product purchased and than how much that cost was for whatever measurement it may be. (or weight)

Answer:

(x + 5) (x - 7)

Step-by-step explanation:

To factor this trinomial, you must split the middle term (-2x) into two terms that can be added to get -2x, and multiplied to get -35:

[tex]x^2[/tex] - 2x - 35

[tex]x^2[/tex] - 7x + 5x - 35

Group:

([tex]x^2[/tex] - 7x)  (5x - 35)

Take out GCF (Greatest Common Factor):

x(x - 7)  5(x - 7)

(x + 5) (x - 7)

Answer:

4600 tenths as a Fraction

Since 4600 tenths is 4600 over ten, 4600 tenths as a Fraction is 4600/10.

4600 tenths as a Decimal

If you divide 4600 by ten you get 4600 tenths as a decimal which is 460.00.

4600 tenths as a Percent

To get 4600 tenths as a Percent, you multiply the decimal with 100 to get the answer of 46000 percent.

4600 tenths of a dollar

First we divide a dollar into ten parts where each part is 10 cents. Then we multiply 10 cents with 4600 and get 46000 cents or 460 dollars and 0 cents.

Step-by-step explanation:

Hope this helped!

Stay safe!!!

Answer:

Step-by-step explanation:

To answer this, multiply 4600 by 10:  46000.  There are 46000 tenths in 4600.

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

Answer:

60

Step-by-step explanation:

Answer:it would help of you included a photo because the base is measured differently from the triangles

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

25-10/3=3

Answer:

3 movies

Step-by-step explanation:

You can pay for 3 movies because

5*3=15 and you have to pay for the membership which is 10 so

10+15=25

Answer:

Step-by-step explanation:

The formula for calculating the nth term of an arithmetic sequence is given as;

Tn = [tex]a+(n-1)d[/tex]

a is the first term

n is the number of terms

d is the common difference

If  two terms of an arithmetic sequence are a12=70 and a30=124 then;

T12 = a+(12-1)d = 70

T12 = a+11d = 70...(1)

T30 = a+(30-1)d = 124

T30 = a+29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d;

Taking the difference of both equation we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d=3 into equation 1 to get the value of 'a' we have;

a+11(3) = 70

a+33=70

a = 70-33

a = 37

To get the explicit rule for the nth term of the sequence, we will use the formula Tn = a+ (n-1)d where a = 37, d =3

Tn = 37+(n-1)3

Tn = 37+3n-3

Tn = 34-3n

This gives the required nth term

Answer:  4

Step-by-step explanation:

Answer:C

Took the test

Step-by-step explanation:

The  equations of an asymptote of the hyperbola are y = 3x - 5 and y = -3x - 5.

The standard form of a hyperbola is:

(x-h)²/a² - (y-k)²/b² = 1

The general equation of the asymptotes for a hyperbola centered at (h,k) with semi-axes a and b is given by:

(y - k) = ± (b/a)(x - h)

To find the equations of the asymptotes of the hyperbola with equation:

(x-2)²/2² - (y-1)²/6² = 1

Plugging in the values, we get:

(y - 1) = ± (6/2)(x - 2)

Simplifying:

y - 1 = ± 3(x - 2)

y = ± 3x - 5

Therefore, the equations of the asymptotes for the given hyperbola are y = 3x - 5 and y = -3x - 5.

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Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer:

c) The population is the parents of the pediatrician's patients; the sample is the

10

1010 parents of patients selected.

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

It is usually convenient to choose small exponents when graphing an exponential function. You can get a reasonable idea of the shape of the curve using x-values with a magnitude of 3 or less.

The exponential term 2^x has a horizontal asymptote of y=0 for large negative values of x. Adding 3 to that term shifts the horizontal asymptote up to y=3. Of course, everything else is shifted up the same amount.

You know that ...

  2^-1 = 1/2

  2^0 = 1

  2^1 = 2

  2^2 = 4

Adding 3 to these values will give you points on the graph for x=-1 to 2.

The length of a side of the square is 10 cm.

Length is defined as the measurement or extent of something from end to end.

The perimeter of rectangle is obtained using the formula

perimeter = 2(length+width)

Perimeter of square is obtained using the formula

perimeter = 4(length of one side)

Length of rectangle is 13 cm.

Width of rectangle is 7 cm.

Then the perimeter of rectangle is obtained as

perimeter = 2(length+width) = 2(13+7) = 2*20=40

Perimeter of square is

perimeter = 4(length of one side) = 40

Therefore, length of one side is 10 cm.

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Answer:

23

21+25=46 ÷2 =23 what you do is cancel out the numbers and find the middle

The median of the given data set 12,18,21,25,30,43 is, 23

The middle number or piece of data in a collection is known as the median. Three alternative metrics are employed in mathematics to determine the average value for a given group of integers. They are the mode, median, and mean. The measures of central tendency are this trio of measurements.

Median = {(n+1)/2}th term (for odd)

Median = [(n/2)th term + {(n/2)+1}th term]/2 (for even)

Given that,

The data set 12,18,21,25,30,43

By arranging given data set into ascending order,

12, 18, 21, 25, 30, 43

Median = [(n/2)th term + {(n/2)+1}th term]/2   (for even)

Median = (21 + 25)/2

Median = 23

Hence, the median is 23

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Answer:

The correct option is;

D. 30 and 40

Step-by-step explanation:

Here, we have that the rhombus is a quadrilateral with equal and parallel sides hence the length of the diagonals will be

2 × 25×sinθ  and 2 × 25× cosθ

Therefore tanθ = (2 × 25×sinθ)/(2 × 25× cosθ) = (sinθ)/(cosθ)

Therefore, the root of the sum squares of both diagonals = 50

Therefore, we analyze each of the options as follows

For A. we have √(22² + 40²) = 45.65 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For B. we have √(26² + 36²) = 44.41 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For C. we have √(26² + 48²) = 55.59 ≠ 50 therefore these are not the length of diagonals of the rhombus in question

For D. we have √(30² + 40²) = 50 therefore these are possible lengths of diagonals of the rhombus in question.

Answer:

$675.00

Step-by-step explanation:

4500 x 0.05 x 3 = 675

Answer:

3 mi

Step-by-step explanation:

There are three squares with side a

The area of a square is s^2 where s is the side length

A of the square is a^2

We have three of them so add the areas together

a^2+a^2+a^2 = 3a^2

This is equal to 27

3a^2 = 27

Divide each side by 3

3/3a^2 = 27/3

a^2 = 9

Take the square root of each side

sqrt(a^2) = sqrt(9)

a = 3

Answer:

179 animals were still at the river

Step-by-step explanation:

There were 632 animals at the river.

A herd of 187 elephants and 266 zebras left the river area.

This means that 187 + 266 = 453 animals left the river area.

Remaining:

632 - 453 = 179

179 animals were still at the river

Answer:

y = (1/2) x -10

Step-by-step explanation:

Perpendicular lines are lines make right angles. The slopes of perpendicular lines are opposite reciprocals !

2x + y = -7 rewrite in form y=

y = -7 -2x

slope of this line is -2

perpendicular lines are opposite reciprocals so the line p has a slope = 1/2

line p passes through (8, -6) so plug in point into equation of p and get ?

y = 1/2 x +?

-6 =1/2(8) +?

-6 =4 + ? subtract 4 from both sides

-6-4 = ?

-10 = ?

y = (1/2) x -10

Answer:

The length of a side is [tex]4in^{3}[/tex]

Step-by-step explanation:

The question is not properly formatted. here is a better format .

"The volume of a cube is 64 cubic inches. Which expression represents s, the length of a side of the cube?

Recall the formula Cube [tex]v=l*l*l= l^{3}[/tex]

The problem bothers on the mensuration of solid shapes, a cube

Given data

Volume v =  [tex]64in^{3}[/tex]

length l=  ?

We can solve for the length by find the cube root of the volume, we have.

[tex]64= l^{3} \\l= \sqrt[3]{64} \\l= 4 in[/tex]

Answer: A or s=∛64

Step-by-step explanation: Edge2023