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KonstantinChe [14]
3 years ago
7

A square deck has a side length of x + 5. You are expanding the deck so that each side is 4 times as long as the side length of

the original deck. What is the area of the new deck? Show your work and write your answer in standard form.
Mathematics
2 answers:
yaroslaw [1]3 years ago
8 0
If you are expanding the side length x+5 by a multiple of 4, your new side would look like this: 4(x+5) or, simplifying, 4x+20.  The area of this new, bigger square would be found by squaring the 4x+20 to get 16x^2 + 160x + 400
Papessa [141]3 years ago
5 0
Length of a side = 4(x+5). the area is 16(x+5)(x+5)
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Cedric purchased a new refrigerator and stove at Home Depot for $3,729 on a deferred payment plan with no down
lesya [120]

Answer:

correct option is d. $242.81

Step-by-step explanation:

given data  

APR = 25.5% = \frac{25.5}{12}     = 2.125  

paid = $3,729

solution

we get here finance charge on the 1st month by multiplying 3,729 and now adding it to existing balance

so we get finance charge for the second and third months similarly as

APR ÷ 100 = \frac{2.125 }{100}  = 0.02125

so 1st  

= $3,729 × 0.02125  

= 79.25  

and  

$3,729  + $79.25 = $3808.24  

so for next  

= $3808.24 × 0.02125  

= 80.93

and  

$3808.24  + $80.93 = $3889.17  

so for next  

= $3889.17  × 0.02125  

= 82.64  

and  

$3889.17 + $ 82.64  = $3971.81

so  

finance charge =  3971.81 - 3729  

finance charge = 242.81  

so correct option is d. $242.81

8 0
3 years ago
In a sample of eight whitefish caught in Yellowknife Bay, the mean arsenic concentration in the liver was 0.32 mg/kg, with a sta
Advocard [28]

Answer:

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.3246

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.3646\frac{0.06}{\sqrt{8}} = 0.0502

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg

The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg

The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).

8 0
2 years ago
Joe has 14 toys in a collection he buys 12 new toys and sells 8 out of the old collection would you subtract 26-8 which would gi
NeTakaya

Answer:

yes I think that's right because 14-12=26 so if you subtract 26 from 8 which that will give you 18

4 0
3 years ago
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zubka84 [21]

Answer:

-24+12(d-3)+22=-24+34(d-3)

10(d-3)

10d=-30

d=-30/10

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4 0
3 years ago
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anzhelika [568]

Answer:

solution given:

balanced: C4H6O3 + H2O −−→2 C2H4O2

4 0
3 years ago
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