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lianna [129]
3 years ago
10

Find each product. Leave answer in descending order of power. a) 3x(x-4) b) -2x^2(x+3)

Mathematics
1 answer:
raketka [301]3 years ago
5 0
Hey!
so for A, you just distribute the 3x
the answer would be 3x^2 - 12x

For B what you want to do is the same thing but dont forget to distribute the negative as well!
Your answer would be -2x^3 - 3x^2

Hope this helps!

also since you are multiplying, here is a tip. When you multiply and you have 2 x's that are going to be multiplied like x times x, you want to add the exponent!
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At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

D(t)=50(0.8)^t

This is required function that gives the temperature difference in degrees Celsius.

6 0
3 years ago
Read 2 more answers
Researchers are interested in the effect of a certain nutrient on the growth rate of plant seedlings. Using a hydroponics grow p
Ede4ka [16]

Answer:

1) The mean calculated for this case is \bar X=61.5

2)  61.5-5.4=56.1

3) 61.5+5.4=66.9

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (a)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (b)  

The mean calculated for this case is \bar X=61.5

The sample deviation calculated s=5.143

\mu population mean (variable of interest)

n=6 represent the sample size  

Part 2

The confidence interval for the mean is given by the following formula:

\bar X \pm ME   (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

61.5-5.4=56.1

Part 3

61.5+5.4=66.9

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

4 0
3 years ago
Read 2 more answers
16. Two golfers completed one round of golf. The first golfer had a score
bearhunter [10]

9514 1404 393

Answer:

  9

Step-by-step explanation:

The extra shots can be computed from the difference in their scores:

  6 -(-3) = 6 +3 = 9

The first golfer took 9 more shots.

6 0
2 years ago
A quantity with an initial value of 3700 decays exponentially at a rate of 6% every 5
SSSSS [86.1K]

Answer:

2369.86

Step-by-step explanation:

f(36)=3700(1−0.06) ^36/5

2369.857704098921

4 0
1 year ago
5÷3010 show your work
Ymorist [56]

Answer:

just use a calculator and get 0.00166112956

3 0
3 years ago
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