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Elanso [62]
3 years ago
8

−k−(−8k+7) what is the answer, I want an explanation please

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

Answer:

Step-by-step explanation:

-k - ( -8k + 7)

negative sign is outside the parenthesis. so it should be multiplied with -8k and 7

-k - (-8k + 7) = -k - 8k * (-1) + 7*(-1)

                    = -1k + 8k - 7

Now -k and 8k are like terms. So, combine them.

                    = 7k - 7

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The value of a car is expected to decrease exponentially. Which formula can you use to predict the value of the car for a given
IgorLugansk [536]
Hey there!

When the value of something goes down over time- a house, a car, anything- it's called depreciation. 

It would be expressed as exponential decay. This is because the value is going down exponentially as stated in the problem. Additionally, when it decays, the growth factor is less than one, so the value steadily decreases.

Let's rule out our other options:

B) Half-Life. This doesn't work because it's usually used for radioactive decay, which is usually a steady decrease of radioactivity and material that divides by two, hence the word half. For example:

Day 0) Started with 10 grams of plutonium
Day 1) 5 grams
Day 2) 2.5 grams

And so on.

C) Compound Interest. Like simple interest, but compunds usually at a certain point - yearly, monthly, every ten years, and so on. But, this is used for interest, mostly in a bank account or if you have a loan. It doesn't exhibit depreciation, and therefore it's not used to predict car value.

D) Exponential Growth- Exponential growth does not work for one main reason - it grows. That would mean that the value of the car goes up- and unless it's an old and very expensive car, that wouldn't be the case.

Hope this helps!
5 0
3 years ago
A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th
ASHA 777 [7]

Answer:  The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by (\mu ):-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where n= Sample size.

s= Sample standard deviation

\overline{x} = sample mean

t* = Critical t-value (Two-tailed)

As per given , we have

\overline{x}=84

n= 64

Degree of freedom : df = n-1=63  

s= 5.5

Significance level : \alpha=1-0.90=0.1

Two-tailed T-value for df = 63 and  \alpha=1-0.90=0.1 would be

t_{\alpha/2,df}=t_{0.05,63}=1.669  (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

84\pm (1.669)\dfrac{5.5}{\sqrt{64}}

=84\pm (1.669)\dfrac{5.5}{8}

\approx84\pm 1.15

=(84-1.15,\ 84+1.15)=(82.85,\ 85.15)

∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

6 0
3 years ago
Which best describes the triangle or the triangles, if any, that can be formed with two sides that measure 5 inches and an angle
Arte-miy333 [17]
One isosceles triangle
4 0
3 years ago
Read 2 more answers
f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.
Alik [6]

Given:

The expression is:

f^3+11g-4h

The given values are f=3,\ g=2,\ h=7.

To find:

The value of the given expression for the given values.

Solution:

We have,

f^3+11g-4h

After substituting f=3,\ g=2,\ h=7, we get

f^3+11g-4h=(3)^3+11(2)-4(7)

f^3+11g-4h=27+22-28

f^3+11g-4h=49-28

f^3+11g-4h=21

Therefore, the value of the given expression is 21.

8 0
3 years ago
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NemiM [27]
A yard is not a metric unit of length.
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2 years ago
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