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3 years ago

Factor 81a^2b^4-c^6 completely

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

3 0

Answer: (9ab^2+c^3)(9ab^2-c^3)

Step-by-step explanation:

81a^2b^4-c^6

(9ab^2)^2-(c^3)^2

(9ab^2+c^3)(9ab^2-c^3)

Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! As well as a great Superbowl Weekend! :-)

- Cutiepatutie ☺❀❤

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Mr. Gonzazales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each includin

erica [24]

Answer:

He can buy 3 bracelets.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be $x.$

Price of each bracelets = 4.50.

Total amount to spend = 42.50.

Number of t-shirts = 29.

Now, to get the number of bracelets we put an equation:

$29+4.50\times x=42.50\\\\29+4.50x=42.50$

Subtracting both sides by 29 we get:

$4.50x=42.50-29\\\\4.50x=13.5$

Dividing both sides by 4.50 we get:

$x=3.$

The number of bracelets = 3.

Therefore, he can buy 3 bracelets.

6 0

4 years ago

Interpret the meaning of each term in the expression 14(22x)+350

Mrrafil [7]

308x+350 is the answer simplified or interpreted

7 0

3 years ago

.11 A machine produces metal pieces that are cylindrical in shape. A sample of pieces is taken, and the diameters are found to b

Troyanec [42]

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

$M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1$

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

$s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657$

Confidence interval:

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 = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.99}{2} = 0.995$ . So we have T = 3.355

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07$

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 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

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3 years ago

Which are coplanar and noncolinar?

Paul [167]

Coplanar means "lying on the same plane," while colinear means "lying on the same line." In this problem, all four points A, B, C, and D are coplanar - they all lie on the plane $\mathcal{H}$ - so we just need to find the points that lie on the same line. Though points C and B would be colinear if there was a line drawn between them, there's no such line in this problem, so we can rule that out. We notice one line drawn on the plane, and points A, C, and D lying on it, so we can say that points A, C, and D are both coplanar and colinear.

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4 years ago

Help pls will mark brainliest if the answer is c0rrect

zheka24 [161]

Answer:4

Step-by-step explanation:

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3 years ago