37. Watering a lawn requires 623 gallons of water for
every 1000 sq. ft. What is the rate of gallons per square
foot?

Answer:

88

Step-by-step explanation:

(fog)(-g) = f(g(-5))

g(-5) is 20

f(20) is 88

The composition of the function at x = -5,

(fog)(-5) = 88.

Let the two function f(x) and g(x) generate a new function h(x) using an operation.

The operation is composition of functions and h(x) is a composite function.

Given:

Two functions,

f(x) =4x + 8,

and g(x) = x² + x.

g(-5) = 20

The composition of the function at x = -5,

(fog)(-5) = f(g(-5))

(fog)(-5) = f(20)

(fog)(-5) = 20(4) + 8

(fog)(-5) = 88

Therefore, (fog)(-5) = 88

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Answer:

it's the third option

Step-by-step explanation:

Answer:

C: 5m      V=250πm3

Step-by-step explanation:

Proof:

Answer:

[tex]y=\frac{1}{2}x+2[/tex]

Step-by-step explanation:

We can find the slope by using the formula

[tex]\text{slope}=\frac{y_1-y_2}{x_1-x_2}[/tex].

Plugging in the points (2,3) and (6,5), we have

[tex]\text{slope}=\frac{5-3}{6-2}=\frac{2}{4}=\frac{1}{2}.[/tex]

Therefore, the slope is [tex]\frac{1}{2}.[/tex] We can then write the line in slope-intercept form, which is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

We already found the slope, so we know the equation is of the form

[tex]y=\frac{1}{2}x+b.[/tex]

We can now plug in either one of the points to find [tex]b.[/tex] Plugging in (2,3), we get

[tex]3=\frac{1}{2}(2)+b[/tex].

To solve for [tex]b[/tex], we can subtract 1 from both sides of the equation:

[tex]3=1+b[/tex]

[tex]b=3-1=2[/tex].

Now, we have all the variables we need to write the equation in slope-intercept form. We know [tex]m=\frac{1}{2}[/tex] and [tex]b=2[/tex], so the equation is

[tex]y=\frac{1}{2}x+2.[/tex]

Answer:

3 pounds of jellybeans will be in each package

Step-by-step explanation:

2/6=3

Work Shown:

Old area = 12*15 = 180 square feet

New area = 18*22 = 396 square feet

Difference = New - Old = 396 - 180 = 216

The patio's area increased by 216 square feet.

Answer:

Each day you earn $69.00.

You work for 5 days in total.

5 days x $69.00 each day = $345 for 5 days of work

[tex]0 \frac{ { {2 {?}^{?} \times \frac{?}{?} \times \frac{?}{?} }^{?} }^{2} }{?} [/tex]

Answer:

2 1/9 yards will equal to 76 inches.

1 ward =3ft

Now

1ft=12in

If the density of the man is 1.0321 grams per cubic cm. Then the body fat percentage will be 28.59%.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

An older method of estimating body fat percentage was to measure a person's average density (total mass divided by total volume) and apply a formula to convert it to a body fat percentage.

[tex]\rm BF = \left (\dfrac{4.57}{p} - 4.142 \right) \times 100[/tex]

where BF = body fat and p = density in g/cm3 A man weighs 175 pounds.

A man weighs 175 pounds.

His total body volume is modeled by a cylinder with a height of 170 cm and a radius of 12 cm.

Then the density will be

[tex]\rm p = \dfrac{175 \times 453.592}{\pi \times 12^2 \times 170}\\\\p = \dfrac{79378.7}{76906.19}\\\\p= 1.0321 \ g/cm^3[/tex]

Then the Body fat percentage will be

[tex]\rm BF = \left (\dfrac{4.57}{1.0321} - 4.142 \right) \times 100 \\\\\\BF = 0.2859 \times 100\\\\\\BF = 28.59\%[/tex]

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Answer:

Step-by-step explanation:

more info

Answer:

[tex]C)\:\:\frac{\sqrt 2}{ 2 } [/tex]

Step-by-step explanation:

[tex] \sin \bigg( \frac{3\pi}{4} \bigg) \\ \\ = \sin \bigg( \pi - \frac{\pi}{4} \bigg) \\ \\ = \sin \bigg(\frac{\pi}{4} \bigg) \\ \\ = \frac{1}{ \sqrt{2} }\\\\= \frac{\sqrt 2}{ 2 }[/tex]

Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

Case 2 : Speed of 1.5 m/s

As distance in both cases is the same, equate the values of d from both equations.

Now, put the value of t in Equation 1 to find d.

Answer:

(30,3)

Step-by-step explanation:

The coordinate of the fourth point is (30,3)

I hope ot helped you

The correct option regarding the domain and the range of the function is given by:

A. The domain is (-∞, ∞), and the range is (k, ∞).

An exponential function is given in the function, which has no restrictions, hence the domain is (-∞, ∞).

The range depends of the vertical shift given by k, hence it is given by (k, ∞).

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Answer:

The domain is (-∞, ∞) and the range is (k, ∞).

Step-by-step explanation:

The time it takes to complete the trip

Answer

now i'm going to say i'm not 100% sure but i think its 168

Step-by-step explanation:

Answer:

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

Explanation

I hope help you and thanks for heart and rate my answer

Answer:

I think that answer to first question is. A

Step-by-step explanation:

I think that answer to question 4 is 4 but there is no option for 4 look onto the picture

Answer:

the equation is

x - 4 = - 9

the number is

-5

Step-by-step explanation:

First, we don't know the number so we represent it with a variable like "x".

then difference simply means subtraction.

" is" simply means = ( equal to)

so the question says that difference of 4 and a number is 9 so we have x - 4 = -9

so now let's solve for x

we group liked terms and make x stand alone.

x = -9 + 4

( +4 because it crossed an equal sign)

x = - 5

we have

x = -5

so we can substitute the -5 into the equation to if its true

from the equation x - 4 = - 9

where we put -5 instead of x

-5 - 4 = - 9

Answer:

in my opinion the answer is 78

Step-by-step explanation:

you divide all of them then add akll tof them simple

After one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

It is defined as the systematic way of representation of loan payments according to the time in which the principal amount and interest mentioned in a list manner.

We have a table given that showing a first segment of a five-year amortization schedule that has a 5-year amortization schedule and the amount of interest paid for months 1 through 12.

As the loan amount is not mentioned in the question, we are assuming the loan amount is $1184.6

Therefore, loan amount = $1184.6

The outstanding amount at the end of one year, which is 12 months, is shown in the table as $84.18

After one year of payments, the amount need to be paid to interest:

= Loan amount - Outstanding amount after 12 months

= 1184.6 - 84.18

= $1100.425

Thus, after one year of payments, the amount need to be paid to interest is $1100.42 if the first segment of a five-year amortization schedule is a 5-year amortization schedule option (a) is correct.

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Answer:

More pencils than pens

Step-by-step explanation:

Answer:

9125

Step-by-step explanation:

you get this answer by subtracting the cost of the new truck by how much the loan is and then adding 375 and 1250 for the license fee and taxes.

Answer:

0≤x≥3

2≤y≥4

Step-by-step explanation:

Answer: veiw explanation

Step-by-step explanation:

12 - (2+1+3) = 6 red beads.

6 + 3 = 9 (total red and purple beads)


9/12 = 3/4