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tatyana61 [14]
4 years ago
5

Factor by grouping 9m3-3m2p2-3mp+p3

Mathematics
1 answer:
Setler [38]4 years ago
3 0
(3m^2-p)(3m-p^2)
You factor out the 3m^2 and p from the combined like terms and then group those into a factor and group the two identical factors together and (3m^2-p)(3m-p^2) is your answer.
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There are 206 bones in the body what fraction represents the number of bones in one hand/27 Compared to the bones in your body a
serg [7]

Answer:

\frac{27}{206}

Step-by-step explanation:

Let

x -----> number of bones in one hand

y ----> number of bones in the body

we know that

To find out what fraction represents the number of bones in one hand compared to the number of bones in the body, divide the number of bones in one hand by the number of bones in the body

we have

x=27\ bones\\y=206\ bones

Find the ratio x/y

so

\frac{27}{206}

3 0
4 years ago
Americans who are 65 years of age or older make up 13.2% of the total population. If there at 30.3 million american in this age
zhannawk [14.2K]

Given:

Americans who are 65 years of age or older make up 13.2% of the total population.

Required:

The total u.s. population

Explanation:

Let the total population of u.s be x.

According to the given condition.

13.2\text{ \% of x = 30.3 billion}

Therefore,

\begin{gathered} \frac{13.2}{100}\text{ }\times\text{ x = 30.3} \\ x\text{ = }\frac{30.3\text{ }\times\text{ 100}}{13.2} \\ x\text{ = 229.55 billion} \end{gathered}

Answer:

Thus the total population of u.s is 229.55 billion.

4 0
1 year ago
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = t 25 − t2 , [−1, 5]
Zina [86]

Answer: Absolute minimum: f(-1) = -2\sqrt{6}

              Absolute maximum: f(\sqrt{12.5}) = 12.5

Step-by-step explanation: To determine minimum and maximum values in a function, take the first derivative of it and then calculate the points this new function equals 0:

f(t) = t\sqrt{25-t^{2}}

f'(t) = 1.\sqrt{25-t^{2}}+\frac{t}{2}.(25-t^{2})^{-1/2}(-2t)

f'(t) = \sqrt{25-t^{2}} -\frac{t^{2}}{\sqrt{25-t^{2}} }

f'(t) = \frac{25-2t^{2}}{\sqrt{25-t^{2}} } = 0

For this function to be zero, only denominator must be zero:

25-2t^{2} = 0

t = ±\sqrt{2.5}

\sqrt{25-t^{2}} ≠ 0

t = ± 5

Now, evaluate critical points in the given interval.

t = -\sqrt{2.5} and t = - 5 don't exist in the given interval, so their f(x) don't count.

f(t) = t\sqrt{25-t^{2}}

f(-1) = -1\sqrt{25-(-1)^{2}}

f(-1) = -\sqrt{24}

f(-1) = -2\sqrt{6}

f(\sqrt{12.5}) = \sqrt{12.5} \sqrt{25-(\sqrt{12.5} )^{2}}

f(\sqrt{12.5}) = 12.5

f(5) = 5\sqrt{25-5^{2}}

f(5) = 0

Therefore, absolute maximum is f(\sqrt{12.5}) = 12.5 and absolute minimum is

f(-1) = -2\sqrt{6}.

8 0
3 years ago
4 5/2 in simplest form
egoroff_w [7]
4 5/2 is 6 1/2 in simplest form!
5 0
3 years ago
Read 2 more answers
In most cases, tariffs and quotas harm consumers by causing
solmaris [256]

Answer:

Higher prices and fewer choices.

Tariffs and quotas are protectionist trade barriers used by several countries to control import flows.  Tariffs imply that importers must pay a tax for every unit of the good subject to the international tax. Quotas are restrictions in terms of the amount of certain goods that can actually  get into one country as imported goods. Both measures can be implemented to protect local producers of certain goods. Examples of tariffs are those apply by USA to European agricultural goods, and examples of quotas are those imposed to China’s textiles by USA (of course there are plenty of examples of this kind around the world).

Both tariffs and quotas decrease imports from other countries: the first one reduces imports because it makes them more expensive to importers, the second one reduces imports because it restricts the amount of goods that can be buy abroad.

Step-by-step explanation:

  • Quotas result in fewer choices because they directly restrict the amount of goods that can be bought abroad.
  • Tariffs result in higher prices, because when they are applied, one must pay international price plus a tax.
8 0
4 years ago
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