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alekssr [168]
3 years ago
10

Evaluate each expression

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Step-by-step explanation:

  • a = 2
  • b = 3
  • c = 5

\longrightarrow \rm{{\Bigg ( \dfrac{a}{b} \Bigg )}^c} \\  \\  \longrightarrow \rm{{\Bigg ( \dfrac{2}{3} \Bigg )}^5}  \\  \\   \qquad \qquad \bigstar \: \boxed{ \bf{  \Bigg ({\frac{x}{y} \Bigg )}^{m}  =  \frac{ {x}^{m} }{ {y}^{m}}   }} \\  \\  \longrightarrow \rm{ \frac{ {(2)}^{5} }{ {(3)}^{5} } } \\  \\ \longrightarrow  \bf{ \frac{ 32 }{ 243} }

Therefore, 32/243 is the answer.

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Find the length of CD
laiz [17]

Answer:

D

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(3, - 2) and (x₂, y₂ ) = D(7, - 8)

CD = \sqrt{(7-3)^2+(-8+2)^2}

      = \sqrt{4^2+(-6)^2}

      = \sqrt{16+36}

       = \sqrt{52} ≈ 7.2 → D

5 0
2 years ago
Read 2 more answers
Sanjay has £356.54 in his bank account. He spends £595.99 on a new mountain bike. What is his new bank balance?
Vaselesa [24]

your answer would be -239.45.

356.54

-595.99

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

-239.45

3 0
3 years ago
Aaron is 6 years old, Beth is 9 years old and Charlie is 15 years old. They are going to share £5940 in the same ratio as their
Andre45 [30]

Answer:

Aaron=1188

Beth=1782

Charlie=2970

Step-by-step explanation:

From the question we are told that

Ratio 6:9:15

Total amount to e shared N=£5940

Generally the Ratio can divide the Total amount mathematically as follows

Ratio

6:9:15/3=2:3:5

Sum of ratio

2+3+5=10

For Aaron

A=\frac{2}{10} *5940

A=1188

For Beth

B=\frac{3}{10} *5940

B=1782

For Charlie

C=\frac{2}{10} *5940

C=2970

Check answer

A+B+C=5940\\1188+1782+2970=5940

4 0
2 years ago
What is the quotient and remainder of (4x^3-3x^2+x+7)/(x-2)
viva [34]

Answer:

4x^2+11x+23 r53

Step-by-step explanation:

4x^3-3x^2+x+7 / x-2

2 | 4 -3  1   7

        8 22 46

___________

    4 11 23 53

This means 4x^2+11x+23 with a remainder of 53

7 0
3 years ago
Help I need help ASAP?!!? Thank<br> You:)
alekssr [168]

Answer:

i think its b

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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