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kodGreya [7K]
3 years ago
13

This month the Middle School Media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each

of the schools has 25 classrooms with 25 students in each classroom. What expression with an exponent shows the total number of pages in all of the newspapers? Explain how you found the answer. Use words, numbers, and/or pictures to show your work. Write your answers on the paper provided.
Mathematics
1 answer:
EastWind [94]3 years ago
5 0

Answer:

25 to the power of 3.

Step-by-step explanation:

we got 25 schools ordering newspapers for 25 classes of 25 kids. that's 25x25x25. it wants the number of pages total, and since there's 25 pages in each newspaper we add another 25. so it's 25x25x25x25, also known as 25 to the power of 3.

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Which numbers are perfect squares? Check all that apply.
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A perfect square is a number made by squaring a whole number.

Since

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numbers 1, 16, 100 are perfect squares. You cannot find such whole number n, that

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Question 15 (5 points)<br> Find the angle between u = &lt;7, -2&gt; and v= (-1,2&gt;.
Tema [17]

Answer:

Approximately 2.3127 radians, which is approximately 132.51^{\circ}.

Step-by-step explanation:

Dot product between the two vectors:

\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}.

Magnitude of the two vectors:

\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}.

\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}.

Let \theta denote the angle between these two vectors. By the property of dot products:

\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}.

Apply the inverse cosine function {\rm arccos} to find the value of this angle:

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