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aliina [53]
3 years ago
11

Please Help Me!!!! qwq

Mathematics
1 answer:
Semmy [17]3 years ago
6 0

Answer:

We add 25 and subtract 25 to complete the square.

(x+5)^{2}-38=0\\ is the equation we get.

Step-by-step explanation:

x^{2} +10x-13=0\\x^{2} +10x+25-13-25=0\\(x+5)^{2}-38=0\\

So, we're adding 25-25 to complete the square.

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The burning time of a very large candle is normally distributed with mean of 2500 hours and standard deviation of 20 hours. Find
dezoksy [38]

Answer: C.-1.5

Step-by-step explanation:

Given: The burning time of a very large candle is normally distributed with mean(\mu) of 2500 hours and standard deviation(\sigma) of 20 hours.

Let X be a random variable that represent the burning time of a very large candle.

Formula: Z=\dfrac{X-\mu}{\sigma}

For X = 2470

Z=\dfrac{2470-2500}{20}\\\\\Rightarrow\ Z=\dfrac{-30}{20}\\\\\Rightarrow\ Z=\dfrac{-3}{2}\\\\\Rightarrow\ Z=-1.5

So, the z-score they corresponds to a lifespan of 2470 hours. =-1.5

Hence, the correct option is C.-1.5.

7 0
3 years ago
If x varies directly as y, and x = 7.5 when y = 10, find x when y = 4.
Lilit [14]
The answer is A) 3.
I hope this helps.
7 0
3 years ago
Read 2 more answers
15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.
irina [24]

Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

0  = -1000x + 8000

-8000 = -1000x

8 = x

It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

5 0
3 years ago
Edward sliced 8 cakes. Each chocolate cake had 8 slices and each lemon cake had 4 slices. If Edward made 48 slices in total, how
iVinArrow [24]
Edward sliced 6 chocolate cakes and 12 lemon cakes
3 0
3 years ago
Need help with number 12 n 13 Asap
Arlecino [84]

Step-by-step explanation:

it's explained in the solution

7 0
3 years ago
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