c) work out the value of 3² + 2³

d) work out the value of 2⁴ - 3²
​

Answer:

Volume of the solid figure = 1131 cubic inches

Step-by-step explanation:

Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism

Volume of half cylindrical prism = [tex]\frac{1}{2}(\pi r^2h)[/tex]

                                                     = [tex](\frac{1}{2})(\pi )(17-11)^2(6)[/tex]

                                                     = 339.29 cubic inch.

Volume of the rectangular prism = (length × width × height)

                                                      = 11 × 6 × 12

                                                      = 792 cubic inches

Volume of the solid figure = 339.29 + 792

                                            = 1131.29

                                            ≈ 1131 cubic inches

Answer:

5x^2 + 10x

Step-by-step explanation:

Area = Width x Height

Area = (5x)(x+2)

Use distributive property

5x^2 + 10x

Answer:

A = 5x^2 + 10x

Hope this helps!

Edit: I did not copy hazeemmajid604's answer.. we just posted it at the same time.

Answer:

$ 809.78

Step-by-step explanation:

Given that

F = future value = $50,000

Interest rate = r = 1.45% = 0.0145

Number of period per year = 12months

Time expressed in years = 5years

The present value of a periodic deposit

P =( F ×r/n)/{ (1+r/n)^nt} -1

Substituting the values into the above formula

P = (50000× 0.0145/12)/(1+0.0145/12)^12×5}-1

= 50000×0.001208/(1+0.0012)^60}-1

= 60.4/1.0012)^60}-1

60.416/1.074608-1

60.4/0.07460

= $ 809.779

His monthly deposit will be $ 809.78

Answer:

14430 pounds

Step-by-step explanation:

Given that:

cost of ring: 13000

percentage increase: 11%

So, to find the new cost, we have to find the increase cost, in pounds:

11 / 100 times 13000 = 1430 pounds.

NOW to calculate the new cost, we add the increase cost to the original:

13000 + 1430 = 14430

Please mark brainiest

Answer:

Step-by-step explanation:

x^3 - 5x2 - 8x + 48 = 0

You haven't supplied a list . To confirm which value is the correct one substitute the values for x and see if the result is 0.

Since the last term is  48 you could try some of the factors of 48 :  1, -1, 2, -2, 3 -3  and so on.

Answer:

See explanation

Step-by-step explanation:

[tex]9x(-2y+5x)-4xy(6x-3y)[/tex]

By the distributive property this is equal to:

[tex]9x(-2y)+9x(5x)-4xy(6x)-4xy(-3y)=\\\\-18xy+45x^2-24x^2y+12xy^2[/tex]

Hope this helps!

Step-by-step explanation:

4. Let's multiply the coefficients. 2 * 6 * (-5) = -60. As for the exponents, since they have the same base we'll just add the exponents giving us s^(2 + 1 + 4) = s^7 so the answer is -60s^7.

7. -2/3 * -1/2 * -4 = -4/3 and the exponent is b^(2 + 3 + 4) = b^9 so the answer is -4/3b^9

Answer:

x=2

y=2

Step-by-step explanation:

You can use the process of elimination

x can't be 3 because than the first question would be 9+y=8 which is even bigger than the answer.

So now, we try 2. x=2

6+y=8 which =

6+2=8

So y must be two

Then we try it on the

Second one.

8-6=2 which makes sense.

Hope it helps

Answer:

x = 2

y = 2

Step-by-step explanation:

3x + y = 8..…...(1)× -3

4x - 3y = 2......(2)× 1

-9x - 3y = -24.......(3)

4x - 3y = 2..…..........(4)

Cancel -3y - 3y

-9x - 4x = -24 - 2

-13x = -26

Divide both sides by -13

x = 2

Substitute for the value of y

3x + y = 8

3(2) + y = 8

6 + y = 8

y = 8 - 6

y = 2

Answer:

240g of cocoa

Step-by-step explanation:

96/24 = 4 times as many brownies, 4 times as many ingredients needed. To find the amount of cocoa, multiply the original amount by four to get 60g × 4 = 240g.

[tex]answer \\ = 12 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

Answer: Earth

Step-by-step explanation:

Planet (or Dwarf Planet) Distance from the Sun (Astronomical Units miles km) Number of Moons

Mercury 0.39 AU, 36 million miles 57.9 million km 0

Venus 0.723 AU 67.2 million miles 108.2 million km 0

Earth 1 AU 93 million miles 149.6 million km 1

Mars 1.524 AU 141.6 million miles 227.9 million km 2

Answer:-14

Step-by-step explanation:

(1-√-4)(-3-√-25)

[(1*-3)-(1*√-25)-(√-4*-3)-(√-4*√-25)]

(-3)-(-5)-(6)-(10)

-14

Answer:

[tex]-13+i[/tex]

Step-by-step explanation:

[tex](1-\sqrt{-4} )(-3-\sqrt{-25} )[/tex]

[tex]\left(1-2i\right)\left(-3-5i\right)[/tex]

[tex]\left(1\times \left(-3\right)-\left(-2\right)\left(-5\right)\right)+\left(1\times \left(-5\right)+\left(-2\right)\left(-3\right)\right)i[/tex]

[tex]=-13+i[/tex]

Answer:

No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

55/275 , or 20%.

Step-by-step explanation:

took the test on edg <3

Answer:

SAMPLE RESPONSE :No. Mike wrote the ratio as the amount of change to the new amount. He should have used the ratio of the amount of change to the original amount, which is 55

275

, or 20%.

Step-by-step explanation:

Answer:

the side of the length is 5

Step-by-step explanation:

Answer:

((-3,-1),(3,-1)),((-3,11),(3,11))

Step-by-step explanation:

The distance between the two vertices is 6

So, add 6 and minus 6 to the y coordinates.

Answer:

( - 3, - 1 ), ( 3, - 1 ) / ( - 3, 11 ), ( 3, 11 )

Step-by-step explanation:

Let us first consider the distance between points ( - 3, 5 ) and ( 3, 5 );

[tex]( - 3, 5 ), ( 3, 5 )\\Distance = 3 + 3 = 6 units[/tex]

If these are points that are vertices of the square, it should be that the other 2 points are 6 units farther from these points;

[tex]Distance = 6 units,\\( - 3, 5 ) - ( - 3, - 1 )\\( 3, 5 ) - ( 3, - 1 )[/tex]

[tex]Distance = 6 units,\\( -3, 5 ) - ( - 3, 11 )\\( 3, 5 ) - ( 3, 11 )[/tex]

Let us confirm ( -3, - 1 ) and ( 3, - 1 ) are 6 units apart, respectively ( -3, 11 ) and ( 3, 11 ) to say they are the other two vertices;

[tex]( - 3, - 1 ), ( 3, - 1 )\\Distance = 3 + 3 = 6 units[/tex]

[tex]( -3, 11 ), ( 3, 11 )\\Distance = 3 + 3 = 6 units[/tex]

Thus, the possible vertices are ( - 3, - 1 ) and ( 3, - 1 ) or ( - 3, 11 ) and ( 3, 11 )

Answer:

d) none of the above

Step-by-step explanation:

g is increasing in the intervals:

- 4.5<x<-3.5

and

-1<x<3.5

These are not covered in the answer options

options a) and c) are partially correct

Answer: d) none of the above

Answer: B. 3 3/4

Step-by-step explanation:

From the question, we are told that Joanna is making a recipe that uses 1 1/2 teaspoon of salt for every 2 cups of sugar. Since, uses 1 1/2 teaspoon of salt for every 2 cups of sugar, 1 cup of sugar will use 1/2 of 1 1/2 teaspoon of salt. This will be:

= 1/2 × 1 1/2

= 1/2 × 3/2

= 3/4 teaspoon of salt.

We then multiply the value used for a cup of sugar by 5 since Joanna increases the recipe to use 5 cups of sugar. This will be:

= 3/4 × 5

= 15/4

= 3 3/4

Answer:

a = 6

Step-by-step explanation:

use distribution method:

-3(4-a) = 6

-12+3a = 6

3a = 6+12

3a = 18

a = 18/3 = 6

_____________________________

Hey!!

Solution,

-3(4-a)=6

or, -12+3a=6

or, 3a=6+12

or, 3a=18

or,a=18/3

a=6

hope it helps..

Good luck on your assignment

___________________________

Answer:

The smaller bag

Step-by-step explanation:

The smaller bag contains more trail mix.

This is because the quantity of trail mix in the smaller bag (6.8 ounces) is more than that in the larger bag (6.18 ounces).

This makes sense because we are not told the capacities of the bags, so, it is possible that both bags are able to contain much more than 6.8 ounces.

Answer:

the volume is 288 squared cm

Step-by-step explanation:

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

Answer:

(1/6)(-10x - 4) = -4

Step-by-step explanation:

(1/6)(-3x - 24) = -4

=> -3x - 24 = -4 x 6

=> -3x - 24 = -24

=> -3x = 24 - 24

=> -3x = 0

=> x = 0 (not 2) => Incorrect option

(1/6)(-5x - 8) = -4

=> -5x - 8 = -4 x 6

=> -5x - 8 = -24

=> -5x = 8 - 24

=> -5x = -16

=> x = 16/5 (not 2) => Incorrect option

(1/6)(-10x - 4) = -4

=> -10x - 4 = -4 x 6

=> -10x - 4 = -24

=> -10x = 4 - 24

=> -10x = -20

=> x = 2 => Correct option

(1/6)(-12x - 16) = -4

=> -12x - 16 = -4 x 6

=> -12x - 16 = -24

=> -12x = 16 - 24

=> -12x = 8

=> x = -3/4 (not 2) => Incorrect option

=> Option C is correct

Hope this helps!

Answer: C. One-sixth (negative 10 x minus 4)

Step-by-step explanation: On Edgenuity!!!!!!!!!!!!!

Answer:

14 minutes...

Step-by-step explanation:

Wage for an hour: $11.50 per hour

Wage for first 35 hours: $11.50*35 = 402.5

Wage after 35 hours: $17.25 per hour

Earning in one week: $626.75

Therefore, hours worked :

$626.75 - 402.5 = 224.25

Now 224.25/17.25 = 13

Therefore total hours is

13+35 = 48 Hours

Mark as brainliest

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

the sale price is 52.50

Step-by-step explanation:

30% discount means that the person pays 70% of the original price

multiply 75 by 70% written as a decimal 0.70

75*0.70 = 52.50

Answer: Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Answer:

Interest will be 3%

Step-by-step explanation:

4.5x = x * r * 13.5

4.5x = 13.5x*r

r = 13.5x/4.5x = 3%

Thank you!

Answer:

It would be $340 (with rental cost)

Without the rental cost it would be $250

Step-by-step explanation:

You have to multiply $0.50 with 500 since you drove 500 kilometers. That gives you $250. When you add the $90 to rent, you get $340.

Equation: 90 + .05k

k= kilometers

Answer:

D.

Step-by-step explanation:

as you ride your bike around the lake. you always go the same distance. the lake doesn't all of a sudden change size.