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slavikrds [6]
4 years ago
15

(3/5y^4)^-2 simplify this please

Mathematics
1 answer:
Usimov [2.4K]4 years ago
8 0
(\frac{3}{5}y^4)^{-2}=(\frac{5}{3})^2y^{4\times-2}=\frac{25}{9y^8}
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Charles will babysit for up to 4 hours and charges $7 per hour. Write a function in function notation for this situation.
I am Lyosha [343]
Assume Charles charges $7*3=$21 if he babysits for 2,5 hours (that is 2 and a half hours).

That is we are not considering Charles babysitting exactly 1, 2, 3 or 4 hours, but also in between times.


then we can write the following piecewise function to describe the situation:


f is a function from (0, 4] to {$7, $14, $21, $28}

f(x)=\begin{cases} 
      \$7 & if \enspace \enspace x\leq 1 \\
      \$14 & if \enspace \enspace 1\ \textless \  x\leq 2 \\
      \$21 & if \enspace\enspace 2\ \textless \ x\leq 3 \\
      \$28 & if \enspace\enspace 3\ \textless \ x\leq 4 \
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6 0
3 years ago
The two triangles are similar to each other. How long is the side labeled “?”
Mandarinka [93]

Answer:

12

Step-by-step explanation:

The smaller triangle seems to have dilated and formed the larger triangle. So, let's find the factor of increase.

9 / 3 = 3, so 3 is the factor of increase.

Now we need to do 4 x 3 = 12

So, ? = 12

<em>Hope that helps!</em>

<em>-Sabrina</em>

8 0
3 years ago
From a standard deck of cards, what is the probability that you choose a red card and then choose a 3 assuming you replaced the
Hunter-Best [27]
A standard deck of cards has 52 cards. Half of the deck has red cards and half has black cards. So the first probability would be 26/52, or 1/2 (simplified, it's half the deck).

Then you put the card back and choose a 3. There are 4 cards with the number 3 in the deck. So it's 4/52.

Then you multiply both the probabilities
26/52 x 4/52 = \frac{1}{2}  x  \frac{1}{13} = 1/26
3 0
3 years ago
Read 2 more answers
The prime factor of 180
alisha [4.7K]

Answer: 5*2*2*3*3

Step-by-step explanation:

First you divide 180 by 2 and you get 90. Then you proceed to divide that by 2 again and get 45. You will then divide 45 by 3 to get 15. Then divide 15 by 3 again and get 5, which cannot be divided any smaller.

180/2=90

90/2=45

45/3=15

15/3=5

6 0
3 years ago
SGA is doing a fundraiser to sell candles for project graduation. Small candles cost $4.00 and large candles cost $6.00. They ha
mafiozo [28]

Given:

Cost of small candles = $4.00

Cost of large candles = $6.00

They have at most 50 candles, and want to make at least $100.

To find:

The system of linear inequalities represents the situation.

Solution:

Let x be the number of small candles and y be the number of large candles.

At most 50 candles means total candles must be less than or equal to 50.

x+y\leq 50

Want to make at least $100. It means, the total sales must be greater than or equal to $100.

4x+6y\geq 100

Therefore, the inequalities in the system of linear inequalities are x+y\leq 50 and 4x+6y\geq 100.

3 0
3 years ago
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