Find the area of each figure.

Answer:

A) 15

B) 57

C) 7

D) 19

Step-by-step explanation:

a) 3x+y^2=

  Insert the values

   3(2) + 3^2

   6+9 (3^2 = 3 x 3 = 9)

    = 15

b) 3x^2+5y^2=

   Insert the values

   3(2)^2 + 5(3)^2

   3(2^2 = 2 x 2 = 4) + 5(3^2 = 3 x 3 = 9)

    3(4) + 5(9)

     12+ 45

    = 57

c) 2x+y

   insert the values

   2(2) + 3

    4 + 3

    = 7

d) 5y+x^2=

    Insert the values

    5(3)+ 2^2

     15 + (2^2 = 2x2 = 4)

      15+4

       = 19

The area of Square 4 is a2+2ab+b2

The area of Square 5 is 2ab+c2

Setting them equal to one another (a2+2ab+b2=2ab+c2) and simplifying yields that a2+b2=c2 (note that 2ab is what they have in common), which is Pythagoras' theorem.

The area of one lateral face of the triangular prism could be 20 ft².

a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Since the base of the prism is triangular so there will be three lateral faces.

Dimensions of rectangular lateral faces are:

1)8 feet by 2.5 feet

2)8 feet by 6 feet

3) 8 feet by 6. 5 feet

Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²

Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²

Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²

Therefore, the area of one lateral face of the triangular prism could be 20 ft².

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Answer

One case of sprite costs 3 dollars, All four cases are $12. You can buy 16 cases of sprite with 48 dollars.

Step-by-step explanation:

How to get the cost for 1 case:

You have 4 cases of sprite which all four combined costs $12. You divide 12 by 4 and get 3.

How to get the amount of cases of sprite you can buy with $48:

divide 48 by 3 and you get 16. Why 3? Because 3 is the amount per case and 16 x 3 is 48. Thank me later!

Answer:

It costs $3 per case of Sprite

With 48 dollars, you could buy 16 cases.

Step-by-step explanation:

12/4 = 3    12 dollars divided buy 4 dollars each equals 3 dollars per case

48/3 = 16  48 dollars divided by 3 dollars per case equals 16 cases of sprite

Answer:

The answer is B because you add up the 3 expenses

Step-by-step explanation:

Add the three expenses

The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht

Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.

For this case, we're given that:

So, total expected expense is sum of all these expenses.

Total expected expense = 22885 + 15307 + 29071 = 67263 baht

Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht

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Answer:

D

Step-by-step explanation:

[tex]\frac{x^2-11x+24}{(x-8)(x+2)}[/tex] ← factorise the numerator

= [tex]\frac{(x-8)(x-3)}{(x-8)(x+2)}[/tex] ← cancel the common factor (x - 8) on numerator/ denominator

= [tex]\frac{x-3}{x+2}[/tex]

The quotient of the given division problem is D. (x - 3) / (x + 2).

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given expression is,

(x² - 11x + 24) / (x - 8)(x + 2)

We have to first factor the numerator.

x² - 11x + 24 can be factored as (x - 8) (x - 3).

This is done using the factorization method.

Now the expression becomes,

(x² - 11x + 24) / (x - 8)(x + 2) = (x - 8) (x - 3) / (x - 8)(x + 2)

                                            = (x - 3) / (x + 2)

Hence the quotient is option D.

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#SPJ2

Answer:

A. $3960

B. r=40x^2+400x+3000

C. $200

Step-by-step explanation:

A. Total Revenue (R) is equal to price per dive (P) multiplied by number of customers (C). We can write . R=PC

Per price increase is $20. So four price increase is $20x4=80. Hence, price per dive is 100+80=$180.

Also per price increase, 2 customers are reduced from 30. For 4 price increases, 4x2=8 customers are reduced. Hence, total customers is 30-8=22

So Total Revenue is: R= 180 x 22= 3960

B. Each price increase is 20. So x price increase is 20x. Hence, new price per dive would be equal to the sum of 100 and 20x.

Also per price increase, customers decrease by 2. So per x price increases, the customer decrease is 2x. Hence, new number of customers is the difference of 30 and 2x.

Therefor we can write the quadratic equation for total revenue as the new price times the new number of customers.

R= (100+2x)(30-2x) = -40x^2+400x+3000

C. We are looking for the point (x) at which the equation modeled in part (B) gives a maximum value of revenue (y).

That means, the greatest revenue is achieved after 5 price increases. Each price increase was 20, so 5 price increase would be 5 x 20= 100. So the price that gives the greatest revenue is 100+100 = 200

Answer:

Ends at 2:00

Step-by-step explanation:

12:15 + 1:30 = 13:45.

13:45 + 00:15 = 14:00

14 - 12 = 2

Recess ends at 2:00

Answer:

2p

Step-by-step explanation:

ok so 12:15 + 1 hour = 1:15pm

1:15pm + 30 minutes = 1:45pm

so that's the time that class ends at.

now Gabe has recess for 15 minutes.

so 1:45pm + 15 minutes = 2pm

Gabe's recess finishes at 2pm

hope that helps : )

Answer:

Delta does not have a relative extreme in the equation, so it is variable y It can not be true

Step-by-step explanation:

[tex]s = 5x + 3y[/tex]

There is an answer

The rest of the equation that has no substituted delta is not true, so the prime variables have relative extremes.

Answer:

it is option B that is correct

Step-by-step explanation:

use BODMAS

B- Brackets

O-order

D-division

M-multiplication

Addition

Subtraction

Answer:

d 2.5 line is 6.9 which is 9.4

Step-by-step explanation:

because

Answer:

yes you are correct

Step-by-step explanation:

not sure what you mean but yea

Answer:

The answer are in the file

Answer: yes there are just delete the last one and replace it with the sixth one start from the start also does this happen to be K12 7th grade?

Step-by-step explanation:

Answer:

1/4 feet

Explanation:

So

Hence.

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

Answer:

7g + 14h

Step-by-step explanation:

What is an equivalent expression?

7(g + 2h)

7(g) + 7(2h) <== multipe both terms by 7

7g + 14h

Hope this helps!

Answer:

50 pears = 3 dollars

Step-by-step explanation:

he would want to save as much as possible

Answer:

b

Step-by-step explanation:

because we dont know what she started with.

Answer:

b) I guess

Step-by-step explanation:

she has n. she spends $17.50 (-). she has $6.21 left

n                -                      17.50               =$6.21

n-17.50=$6.21

Step-by-step explanation:

Age of dave = y

Age of Julia = x

y = 4x - 8

if y = 16

then

4x - 8 = 16

4x = 16 + 8

4x = 24

x = 24/4

x = 6

Julia is 6 years old

Answer:

Julia is 6 years old.

Step-by-step explanation:

Dave + 8 = 4 Julia

16 + 8 = 4 Julia

24 = 4 Julia

6 = Julia

Julia is 6 years old

Answer:

7.28 in change

Step-by-step explanation:

When she used 20 bucks it gave her 7.28 cents.

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

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Answer:

A.

While D is partially correct, A is the way to go, because samples are easier to collect than whole populations. The internet quotes, "It is a much quicker process and is more time efficient." This proves the theory why A is the correct answer.

Premium rates are often referred to as premium per fixed face value. Jade's annual premium for a 10-year policy of $200,000 is $1,202.

When it's given that the annual premium is $p per $y face value, then we can calculate the annual premium for $1 face value and then use it to calculate the annual premium for $x. Therefore using proportions, we can write,

$y face value : $p annual premium

[tex]\text{\$1 face value} : \$\dfrac{P}{y}\ \rm annual\ premium[/tex]

[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]

In the given case, from the tables, we see that for age 34, and 10-year life insurance for the female gender, there is an annual premium of 6.01 per $1000 face value.

Therefore, we will get the value of p = 6.01, and y = 1000.

As mentioned that Jade wants to buy Life insurance for $200,000, therefore, x = $200,000

Putting it in the above-derived formula, we get:

[tex]\text{\$x face value} : \$\dfrac{P\times x}{y}\ \rm annual\ premium[/tex]

[tex]\text{\$200,000 face value} : \$\dfrac{6.01\times 200,000}{1,000}\ \rm annual\ premium = \$1,202\ \rm annual\ premium[/tex]

Hence, Jade's annual premium for a 10-year policy of $200,000 is $1,202.

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Answer:

b 1,202 on edge 2022

Step-by-step explanation:

Answer:

[tex]a^-^7[/tex]

Step-by-step explanation:

[tex]\frac{a^{-13}}{a^{-6}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}[/tex]

[tex]=a^{-13-\left(-6\right)}[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]=a^{-13+6}[/tex]

[tex]\mathrm{Add/Subtract\:the\:numbers:}\:-13+6=-7[/tex]

[tex]=a^{-7}[/tex]

Answer [tex]=a^{-7}[/tex]

~Learn with Lenvy~

Answer:

x= -2
y=4

Step-by-step explanation:

Since we have an equation set equal to y, we can plug it in for either value of y.

I will be using y= x+6 in this case.

Plug in x+6 for the other equation, so instead of y=-x+2 it will now be that x+6 = -x+2

Now add x to both sides, and that will remove the x on the left side leaving us with 2x+6 = 2

Now, subtract 6 from both sides to get 2x isolated, and you will get 2x= -4

Divide both sides by 2 to get x= -2

Not plug x= -2 in back for the top (or bottom) equation and get that y=4

Hope this helps and isn't too complicated!

Answer: f(x) = 72-12x

Step-by-step explanation: Hope it helps

==========================================================

Explanation:

The full circle has a circumference of

C = 2*pi*r

C = 2*3.14*4

C = 25.12

Divide this by four because we only want a quarter circle (and not the whole thing). Imagine cutting a pizza into four equal slices, and we only focus on one slice.

The curved portion of the slice is roughly 25.12/4 = 6.28 units long.

Add on the two straight line portions of the quarter circle to get 6.28+4+4 = 14.28

The straight line portions are the radius.

The answer of 14.28 is approximate because pi = 3.14 is approximate.

Answer:

$391.00

Step-by-step explanation:

Typically, regular work hours are paid at the rate given ($8.50), and overtime is "time and a half", or 1.5 times the regular pay.

We will get paid 40 hours at $8.50, and 4 four hours at 1.5x$8.50:

[tex]40(8.5)+4(1.5)(8.5)\\340+51\\391[/tex]

You will get paid $391.00 in gross pay, before taxes :)

Answer:

C. 24

Step-by-step explanation:

We should find how many miles Jory travels in 15 minutes first.

45 ÷ 15 = 3

18÷3=6

6 miles in 15 minutes

every hour has 60 minutes

60 ÷ 15 = 4

multiply 6 by 4 to find miles per hour

6×4=24