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yawa3891 [41]
3 years ago
11

Expression that is equivalent to (b^10) ( b^2)in the form of b^m

Mathematics
1 answer:
Margaret [11]3 years ago
5 0

Answer:

b^12

Step-by-step explanation:

Multiply b^10 by b^2 by adding the exponents.

b^12

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Daniel has 4.8 pounds of ground beef. He makes 8 burgers of equal amounts. Daniel draws this model to show how much each burger
irinina [24]
Answer:
Each burger will weight 0.6 pounds

Explanation:
Divide 4.8 by 8
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3 years ago
For the following question, find the area of the triangle. give the answer to the nearest tenth. The drawing may not be to scale
Alina [70]

Answer:

Option A

10.5 m²

Step-by-step explanation:

The area of a triangle is half the product of its base by its height.

A = 0.5bh

Where b is the base and h is the height.

In this triangle b = 6.1 m.

The height of this triangle is a line perpendicular to its base that goes to the vertex opposite the base.

We do not know this length. But this line h divides the triangle into two rectangular triangles.

So for these two triangles the angle that is opposite to the height h is: 47 °

Therefore we know that senx is defined as:

senx =\frac{opposite side}{hypotenuse}

Where:

Opposite side = h

hypotenuse = 4.7 m

x = 47

Sin(47) = \frac{h}{4.7}\\\\h = (sin47)(4.7)\\\\h = 3.437

Finally, the area is:

A = 0.5(3.437)(6.1)\\\\A = 10.5m^2

6 0
3 years ago
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HELP PLEASE WILL MAKE BRAINLIEST!!!!!!!!!!!!!!!!Alana runs a game at the fair and needs to count the people who play. At the beg
inn [45]
Your answer would be y=14x+56.
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3 years ago
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The City of Irvine upgraded a bicycle lane in a section of road to have a physical barrier between the cyclists as opposed to ju
____ [38]

Answer:

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

Step-by-step explanation:

Before the upgrade, on any given day, it was known that the section of road saw an average of 350 unique cyclists. Test if more people are using now.

At the null hypothesis, we test if the same number of people is still using, that is, the mean is 350. So

H_0: \mu = 350

At the alternate hypothesis, we test if this mean increased, that is:

H_1: \mu > 350

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

350 is tested at the null hypothesis:

This means that \mu = 350

After the upgrade, they took a random sample of 35 days in the year and counted the number of unique cyclists each day. The average was 405 cyclists with a standard deviation of 25.

This means that n = 35, X = 405, s = 25.

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{405 - 350}{\frac{25}{\sqrt{35}}}

t = 13.02

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 405, which is a right-tailed test with t = 13.02 and 35 - 1 = 34 degrees of freedom.

Using a t-distribution calculator, this probability is of 0.

The p-value of the test is 0 < 0.05, which means that there is significant evidence to conclude that more people utilize the bike lane after the change.

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3 years ago
Factor the expression.<br> 81x^2 + 36x + 4
Tasya [4]

Answer: (9x+2)^2

Step-by-step explanation:

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3 years ago
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