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Evgesh-ka [11]
3 years ago
9

What is the correct answer to this multiple choice question? Please help!

Mathematics
1 answer:
erik [133]3 years ago
4 0

Answer:

\sqrt[3]{4}

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

4^6 = a^{18}

We can take the root of both sides with a degree of 18.

\sqrt[18]{4^6} = \sqrt[18]{a^{18}}  \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

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A circular ice rink is being built in town. Around the ice rink, a walkway will be built. The ice rink will have a diameter of 8
Archy [21]
 so the ice rink diameter is 80 feet what mean that the radius of ice rink is 40 feet the walkway is 10 feet wide so 10+40=50 what mean that the radius and the walkway wide make 50 feet length together 
using this length area = pi*r^2 = 3,14*(50)^2 = 7850 feet squared
area of ice rink = 3,14*40^2 = 5024 feet squared 

area of the walkway = 7850-5024 = 2826 feet squared 

hope helped 
8 0
4 years ago
Read 2 more answers
8. A carpenter balances his daily projects between small jobs (x) and building cabinets (y). He allots 2
garik1379 [7]

Answer:

\$1125

Step-by-step explanation:

The equations of the system are

2x+4y\leq 12

y\geq 0

0

From the graph it can be seen that points (3,1.5) and (3,0) falls in the bounded region.

The income will be

125x+500y=125\times 3+500\times 1.5\\ =\$1125

125\times 3+500\times 0=\$375

So, the person can do 3 small jobs and build 1 and a half cabinets per day.

The maximum income will be \$1125.

4 0
3 years ago
yanira is 3 years older than tim and twice as old as hannah. tim is 2 years older than hannah. how old are yanira, tim, and hann
tekilochka [14]
Yanira = Y

Tim = T

Hannah = H

-----------------

Therefore:

Y=T+3

Y=2H

T=H+2

---------------

Now, we know that:

Y=T+3

But we also know that:

T=H+2

Therefore:

Y=(H+2)+3

Y=H+5

-------------------

Now we can combine the equations:

Y=H+5 

Y=2H

Therefore:

2H=H+5

2H-H=5

So, H=5.

---------------------

If H=5,

Y=2H=2*5=10

---------------------

If H=5,

T=H+2=5+2=7

-----------------------

Answers:

Yanira is 10 years old.

Tim is 7 years old.

Hannah is 5 years old.
3 0
3 years ago
5x + 9y, when x=8, y=11
Mrrafil [7]

Answer:

Please check the explanation.

Step-by-step explanation:

Part 1)

5x + 9y, when x=8, y=11

substituting x=8, y=11 in 5x + 9

5x + 9y = 5(8) + 9(11)

            = 40 + 99

            = 139

Part 2)

a³ –c + b, when a=3, b=6, c=8

substituting a=3, b=6, c=8 in a³ –c + b

a³ –c + b = (3)³ - 8 + 6

               = 27 - 2

               = 25

Part 3)

4(g –h) +10, when g=12, h=7

substituting g=12, h=7 in 4(g –h) +10

4(g –h) +10 = 4(12 - 7) + 10

                  = 4(5) + 10

                  = 20 + 10

                  = 30

Part 4)

k³ –4j +12, when k=8, j=2

substituting k=8, j=2 in k³ –4j +12

k³ –4j +12 = (8)³ - 4(2) + 12

                 = 512 - 8 + 12

                 = 516

Summary:

7 0
3 years ago
Can you put this into least to greatest -85m -2.4m 0m 1011m 88m​
zmey [24]

Answer:

-85m, -2.4m, 0m, 88m, and 1,011m

Step-by-step explanation:

4 0
3 years ago
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