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3 years ago

Which expression is equivalent to 10x²y + 25x^2

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

6 0

Answer:

5x²(2y + 5)

Step-by-step explanation:

10x²y + 25x²

to start we have to express the parts of the function as multiplication

2*5*x²*y + 5*5*x²

then we have to see that they have both parts of the sum in common, and what they have in common we get out of common invoice and what is left we add together.

5x²(2y + 5)

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Find the area of the image.<br> help pls

Nady [450]

Answer:

$A) 16.56 ~in^{2}$

Step-by-step explanation:

$Area=\frac{a+b (h)}{2}$

$\frac{6.1+3.1(3.6)}{2}$

= $\frac{9.2(3.6)}{2}$

= $4.6(3.6)$

= $A=16.56$

hope it helps...

have a great day!!

7 0

3 years ago

Read 2 more answers

Washington and Lee's Junior Varsity baseball team recorded their runs over an entire season. How many more games did the team sc

vodomira [7]

Answer:

They had 4 more 7-9 runs than 10-12 runs.

Step-by-step explanation:

First you need to identify how many games they had 7-9 runs and 10-12 runs. Next, you need to subtract the 7-9 run games by the 10-12 run games.

14-10=4

6 0

3 years ago

The show the work for these problems

pychu [463]

Answer:

Part A $150.00

Part B $140.00 because you would do 35 x 4 = 140.

Part C, He will have $17 left over. You would take 167 - 140 = 17

Question 5, The would have gathered $150 because you would take 30 x 5 = 150.

6 0

3 years ago

The height of one solid limestone square pyramid is 21 m. A similar solid limestone square pyramid has a height of 30 m. The vol

Elina [12.6K]

Answer:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form is $\frac{7}{10}$

Part b) The ratio of the volume of the smaller pyramid to the larger pyramid is $\frac{343}{1,000}$

Part c) The volume of the smaller pyramid is $4,116\ m^{3}$

Step-by-step explanation:

Part a) The scale factor of the smaller pyramid to the larger pyramid in simplest form

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

Let

z----> the scale factor

x----> the height of the smaller pyramid

y----> the height of the larger pyramid

$z=\frac{x}{y}$

substitute the values

$z=\frac{21}{30}$

Simplify

$z=\frac{7}{10}$ -----> scale factor in simplest form

Part b) Ratio of the volume of the smaller pyramid to the larger pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

substitute

$\frac{7}{10}^{3}=\frac{x}{y}$

Rewrite

$\frac{x}{y}=\frac{343}{1,000}$ -----> ratio of the volume of the smaller pyramid to the larger pyramid

Part c) The volume of the smaller pyramid

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z----> the scale factor

x----> the volume of the smaller pyramid

y----> the volume of the larger pyramid

$z^{3}=\frac{x}{y}$

we have

$z=\frac{7}{10}$

$y=12,000\ m^{3}$

substitute the values and solve for x

$(\frac{7}{10})^{3}=\frac{x}{12,000}$

$x=\frac{343}{1,000}(12,000)=4,116\ m^{3}$

8 0

3 years ago

A manufacturing company produces steel housings for electrical equipment. The main component part of the housing is a steel trou

Mrrafil [7]

Answer:

Check the explanation

Step-by-step explanation:

(a)

H0: Population mean = 8.46

H1: Population mean is not equal to 8.46

The test statistic (t) is given by the following expression -

${t=\frac{\overline{x}-\mu_0}{s/\sqrt{n}}}$

We have calculated the sample mean (8.421) and sample standard deviation (0.0461). Therefore, the test statistic (t) will be -

t = (8.421 - 8.46)/(0.0461/sqrt(49)) = -5.92

The left-sided critical value from t-distribution (two-tailed) is -2.01. Thus the test statistic falls in the rejection region and we reject the null hypothesis at 95% confidence level and conclude that the population mean is different from 8.46 inches.

(b)

There are the following four assumptions for a single sample t-test.

The observations are in ratio scale.

The observations have been taken in such a manner that every single observation is independent and uncorrelated from the others.

There should not be any significant outliers in the sample observations.

The sample data should be approximately normal.

(c)

The first assumption is true as the data is in inches. The second assumption cannot be tested now. It will depend upon the situation and study design which we assume as correct in this case. The third assumption is checked by plotting a box plot and finding the outliers. The final assumption can be checked using the Anderson-Darling normality test.

Kindly check the graphical table in the attached images below.

(d)

The data is normal (the p-value of Anderson-Darling test in > 0.05). However, two points in the Box plot are outliers though not grossly different from the entire sample data set. So, we conclude that the assumptions are valid in this case for conducting the t-test.

7 0

3 years ago