If f(x)= x^2 and g(x)= x-5 what is f(g(x)) ?

Answers

Answer 1

Answer:

Answer:

(x-5)^2

Step-by-step explanation:

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The GCF of the numbers in the expression (55 + 44) is _____. The numbers left inside the parentheses after factoring out the GCF are _____ and _____.

Answers

55=5*11
44=4*11
gcf=11

11(5)+11(4)=11(5+4)

the numbers inside are 5 and 4

The GCF of the numbers in the expression (55 + 44) is 11. The numbers left inside the parentheses after factoring out the GCF are 5 and 4.

Answer:

11 5 4

Step-by-step explanation:

A surveyor find that the cross section of the bottom of a circular pound has the shape of a parabola. The pond is 24 feet in diameter. The middle of the pond is the deepest part at 8 feet deep. At a point 2 feet from shore the water is 3 feet deep. How deep is the pond at a point 6 feet from shore?

Answers

Answer:

2.32 feet

Step-by-step explanation:

Given;

The cross section of the bottom of a circular pound has the shape of a parabola

Now,

For the circular parabola, the equation is given as:

y² = 4ax

here,

y is the depth

x is the horizontal distance from the center

a is the constant

also,

at diameter of the pond = 24 feet

and,

at x = 0 ; y = 8 feet

now,

the point 2 feet from the shore with respect to the center of the pond = radius of the pond - The distance from the shore

= $\frac{\textup{24}}{\textup{2}}$ - 2 = 10 feet

thus,

at x = 10 feet ; y = 3 feet

thus,

we have

the equation as:

3² = 4a × 10

0.9 = 4a

a = 0.225

therefore,

we get the equation as;

y² = ( 4 × 0.225 ) × x

and, for point 6 feet away from the shore, i.e $\frac{\textup{24}}{\textup{2}}$ - 6 = 6 feet away from the center

we have

y² = ( 4 × 0.225 ) × 6

y² = 5.4

y = 2.32 feet (negative value is neglected as the depth cannot be negative)

Answer:

I wanna say 48 squared feet

Step-by-step explanation:

A flower bed is in the shape of a triangle, with a base of 15 feet and a height of 9 feet. What is the area of the flower bed?24 square feet
32.5 square feet
67.5 square feet
135 square feet

Answers

67.5 square feet

Working
A = 1/2*base*height
A = 1/2*15*9
A = 67.5 sq. feet

Answer:

67.5

Step-by-step explanation:

The temperature at a mountain base camp was −2 degrees Celsius on Thursday. Friday morning, the temperature was 1 degree Celsius lower than what it was on Thursday. By Friday evening, the temperature was 3 degrees Celsius lower than what it was that morning. What was the temperature at the base camp Friday evening?

Answers

The temperature at the base camp on Friday evening was -6°C

The temperature at a mountain base on Thursday = -2°C

On Friday morning, the temperature was 1 degree Celsius lower than what it was on Thursday, hence:

The temperature at a mountain base on Friday morning = -2°C - 1°C = -3°C

By Friday evening, the temperature was 3 degrees Celsius lower than what it was that morning.

The temperature at a mountain base on Friday evening = -3°C -3°C = -6°C

The temperature at the base camp on Friday evening was -6°C

Find out more at: brainly.com/question/18099478

Answer:

-6

Step-by-step explanation:

starts at -2

then drops -1

and lastly drops -3

which leaves you at -6 degrees Celsius

Devon purchased a new car valued at $16,000 that depreciated continuously at a rate of 35%. Its current value is $2,000. The equation mc025-1.jpg represents the situation, where t is the age of the car in years and r is the rate of depreciation. About how old is Devon’s car? Use a calculator and round your answer to the nearest whole number.

Answers

Cost =16000
rate of depreciation = 35%
written down value = 2000
depreciation for one year =16000*35% = 5600
5600*2 = 11200+5600*6\12 = 2000
the car is 2.5 years old. It has been depreciated for 2 whole years and half years.

Answer:

5 years

Step-by-step explanation:

Two solutions of different concentrations of acid are mixed creating 40 mL of a solution that is 32% acid. One-quarter of the solution is made up of a 20% acid solution. The remaining three-quarters is made up of a solution of unknown concentration, c.Which equation can be used to determine c, the unknown concentration?

Answers

Taking the 3 solutions as 3 different terms, we can create an equation as follows:

Solution 1 : 10mL with 20% acid
Solution 2 : 30mL with x% acid
Solution 3 : 40mL with 32% acid

Since solution 1 + solution 2 = solution 3, let us substitute the given values we have:

10(0.2) + 30(x) = 40(0.32)
2 + 30x = 12.8

To solve for the unknown concentration x, we subtract 2 from both sides:
2 + 30x - 2 = 12.8 - 2
30x = 10.8

Dividing both sides by 30:
30x/30 = 10.8/30
x = 0.36

Therefore the unknown solution is 36% acid.

Answer:

Therefore the unknown solution is 36% acid.

Step-by-step explanation:

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