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mrs_skeptik [129]
3 years ago
11

Which expression is equivalent to 5y^3/(5y)^-2​

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

5^3  y^5

125 y^5

Step-by-step explanation:

5y^3/(5y)^-2​

Distribute the exponent in the denominator

5y^3/(5 ^-2 y^-2)

A negative exponent in the denominator brings it to the numerator

5y^3 5 ^2 y^2​​

Combine like terms

5 * 5^2  * y^3 5^2

We know that a^b * a^c = a^(b+c)

5^(1+2) * y^( 3+2)

5^3  y^5

125 y^5

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Jordan can build a birdhouse in 2 hours. If it takes her sister 3 hours to build a birdhouse, how long will it take them to buil
miskamm [114]
To find the total work of two people at different speeds, we need to find a common speed limit to both.

In this case, Jordan can build a birdhouse in 2 hours so her speed is 1/2 birdhouse per hour.

For the sister, it takes 3 hours to build a birdhouse so her speed is 1/3 birdhouse per hour.

To find what they can do in one hour: \frac{1}{3} + \frac {1}{2} = \frac{2}{6} + \frac{3}{6} = \frac{5}{6}

To find how long does it take to build a birdhouse: \frac{ \frac{5}{6}}{1} = \frac{1}{x}

Set the denominators equal: \frac{\frac{5}{6}x}{x} = \frac{1}{x}

Remove the denominators and solve: \frac{5x}{6} = 1

Once again set the denominators equal: \frac{5x}{6} = \frac{6}{6}

Remove the denominators and solve for x: 5x = 6  \\ \\ x = \frac{6}{5}

6/5 hours is equal to 72 minutes.
3 0
3 years ago
Read 2 more answers
HELP ME ASAP, DUE TODAY!!!!!!<br> WILL MARK BRAINIEST
lana [24]

Answer:

Q' = ( 1, 3 )

R' = ( 3, -3)

S' = ( 0, -2)

T' = ( -2, 1 )

4 0
2 years ago
Will mark brainliest has to be correct. ​
yarga [219]
Answer:
x=12
Step by step explanation:

7 0
3 years ago
How do i find a formula for "1+3+5+7+......+(2n-1)
nata0808 [166]

Answer:

Step-by-step explanation:

common difference d=3-1=2

first term a=1

an=a+(n-1)d

2n-1=1+(l-1)2

2n-1=1+2l-2

2n-1=2l-1

l=n

(i used l for number of terms)

number of terms=n

S_{n}=\frac{n}{2} (first ~term+last~term)\\=\frac{n}{2} (1+2n-1)\\=n^2

7 0
3 years ago
What between 250 and 300
Fiesta28 [93]

Answer:

5 and 0 between 250 and 300

5 0
3 years ago
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