An archeologist used the functions below to model the changing populations of two ancient cities as they grew in size. Compare the populations by finding and interpreting the average rates of change over the interval [0,40].

Answer:

1080ft cubed

Step-by-step explanation:

The formula is "lenght times width times height."

Answer:

21

Step-by-step explanation:

The amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume that:

Then, as the total weight of the mixture is 5 lb, thus:

[tex]x + y = 5[/tex]

18% jasmine in 5 lb of mixture = 20% jasmine in x lb of first tea + 15% jasmine in y lb of second tea

Comparing in terms of weight, we get:

[tex]\dfrac{5}{100}\times 18 = \dfrac{x}{100} \times 20 + \dfrac{y}{100} \times 15\\\\90 = 20x + 15y\\18 = 4x + 3y[/tex]

Thus, we get a system of two linear equations as;

[tex]x + y = 5\\4x + 3y =18[/tex]

From first equation,  getting x in terms of y:

[tex]x = 5 -y[/tex]

Substituting this in second equation, we get:

[tex]4(5-y) + 3y = 18\\20-4y + 3y =18\\y = 2\\[/tex]

Putting this value in expression for x, we get:

[tex]x = 5-y = 5-2 = 3[/tex]

Thus, the amount of each tea are used to make 5lb of tea that is 18% jasmine is 3 lb of first type of tea, and 2 lb of second type of tea.

Learn more about solutions of a system of linear equations here:

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Answer:

5

Step-by-step explanation:

The answer is 5 because you subtract 125 to 45 and end up with 80. Then you divide 80 by 16 and end up with 5. Let me know if you find any faults in my answer. Thanks. Have a good day!

Answer:

its A

Step-by-step explanation:

I just took the test on EDGE  

The new annual premium including the discount is $504.24.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the new annual premium with the discount, we need to find the total premium and then subtract the discount.

The total premium is the sum of the individual premiums:

Total premium.

= $31.75 + $120.50 + $275.75 + $100.00

= $528.00

The discount is 4.5% of the total premium:

So,

Discount = 0.045 × $528.00 = $23.76

The new annual premium including the discount is:

New premium = Total Premium - Discount

= $528.00 - $23.76

= $504.24

Therefore,

The new annual premium including the discount is $504.24.

Learn more about expressions here:

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#SPJ7

Answer:

B) 10.00

Step-by-step explanation:

Answer:

Hi, there your answer is [tex]8x^{6}[/tex]

Step-by-step explanation:

4*x^3*2*x^3

=8*x^6

Hope this helps :)

PLZ MARK ME BRAINIIEST :) the crown thingy if you don't know what it is

Answer:

x=54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

it is an alternate interior angle so those 2 angles are actually congruent and corresponding

x + 3 = 57

Subtract 3 to get x = 54

Answer:

2

Step-by-step explanation:

hiiii

Answer:

B

Step-by-step explanation:

Answer:

B  is the answer!.

Answer:

$0.4

Step-by-step explanation:

Let cost per bag = x

Number of bags purchased = 3

Amount given to shopkeeper = $2

Change gotten = $0.80

(Cost per bag * number of bags purchased) + change obtained = amount given to shopkeeper

(x * 3) + 0.80 = 2

3x + 0.80 = 2

3x = 2 - 0.80

3x = 1.20

x = 1.20 / 3

x = 0.4

$0.4

Answer:

A≈24.65in²

Step-by-step explanation:

A=πr2

C=2πr

Solving forA

A=C2

4π=17.62

4·π≈24.64992in²

Happy Friday!

Answer:

FV= $1,397.1

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $1,250

Interest rate (i)= 2.25% compounded annually

Number of periods (n)= 5 years

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

FV= 1,250*(1.0225^5)

FV= $1,397.1

Answer:

:?

Step-by-step explanation:

:?

Answer:

4,614

Step-by-step explanation:

7000 - 2396 = 4614

inverse operations

2396 + 4614 = 7000

Answer:

let the of bag of vendors be X

3donate X bag to give 996

3×x=996

3x=996

divide both side by 3

3x\3=996\3

x=332

each vendor donated 332bags of popcorn

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Answer:

c(d) = 4 + 6(d - 1)

Step-by-step explanation:

Let

d = number of days Danny washed cars

Day 1 = 4 cars

Other days after day 1 = 6 cars

Function that models the total number of cars, c(d), Danny has washed after d days?

c(d) = 4 + 6(d - 1)

Answer:

c

Step-by-step explanation:

Answer:

72°

Step-by-step explanation:

Hello There!

Complementary angles have a sum of 90 degrees

So to find the missing angle we subtract the measure of the given angle (18 in this case) from 90

90 - 18 = 72

so your answer will be 72°

Answer:

"I hope your pillow is hot on both sides"

Step-by-step explanation:

:)

Answer:

i believe C is correct :)

Answer:

The answer you got was correct.

Step-by-step explanation:

Predation means the preying of one animal on others,or more simplified,the action of attacking or plundering.

Answer:

90 degree

Step-by-step explanation:

because is a lm perpendicular to kn

Answer:

468.75

Step-by-step explanation:

Multiply the sales by the commision as a decimal to get the commission, in this case, 1875 * 1/4 = 468.75.

Answer:

$468.75

Step-by-step explanation:

25/100=x/1875         Equation

25×1875=46,875        Cross multiply

46,875÷100=$468.75      Divide the quotient by 100 pecent

x=$468.75    

Answer:

B. 2.2

Step-by-step explanation:

Volume of a rectangular prism = length*width*height

You can replace the width with the variable x for now, the height is given in the problem, and the length is 4 times the width so in this case it's 4x.

160 = 4x*x*8

160 = 32x^2

5 = x^2

The square root of five is about 2.2 so B is the correct answer

Answer:

B. 2.2ft

Step-by-step explanation:

160 is the volume

The volume of a rectangular prism is equal to its width, its length, and its height, all multiplied together.

First, we divide by the height.

160/8 = 20

Now, we find the width (w) and length (l).

4w = l

w(l) = 20

Substitute l with 4w.

w(4w) = 20

4w^2 = 20

w^2 = 5

w = √5

And since l is 4 times w.

w = √5

l = 4√5

h = 8

Since we are solving for the width, we will go with the closest to the answer closest to the square root of five.

√5 = 2.23606

Therefore, the answer is B. 2.2 ft

Addition and multiplication are associative for rational numbers. Subtraction and division are not associative for rational numbers.

Answer:

Yes

Step-by-step explanation:

Answer:

3.4051451e+12

Step-by-step explanation:

:/

Answer:

3.40515e12

Step-by-step explanation: