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2 years ago

Can someone help me with this math question pls? Will upvote!!

Mathematics

1 answer:

katrin2010 [14]2 years ago

5 0

2^4 x 4^4 = 2^4 x 2^8 = 2^12 (because 4^4 = (2^2)^4 = 2^8)

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. A survey showed that five out of every seven students in 8th grade do their homework

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31 students do their homework every night

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2 years ago

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A road sign is in the shape of a regular pentagon. What is the measure of each angle on the sign? Round to the nearest tenth. Se

dangina [55]

Answer:

Option D) 108 degrees

Step-by-step explanation:

We are given the following in the question:

A regular pentagon.

Thus, all the angles of the pentagon are equal.

Angle sum property of pentagon:

In a pentagon, the sum of all the interior angle of a pentagon is 540 degrees.

Measure of each angle =

$=\dfrac{\text{Measure of angle}}{\text{Number of angle}} = \dfrac{540}{5} = 108^\circ$

Thus, the measure of each angle on the sign is 108 degrees.

Option D) 108 degrees

6 0

2 years ago

Solve 73 make sure to also define the limits in the parts a and b

Aleks04 [339]

73.

$f(x)=\frac{3x^4+3x^3-36x^2}{x^4-25x^2+144}$

$\lim_{x\to\infty}f(x)=\lim_{x\to\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3$ $\lim_{x\to-\infty}f(x)=\lim_{x\to-\infty}(\frac{3+\frac{3}{x}-\frac{36}{x^2}}{1-\frac{25}{x^2}+\frac{144}{x^4}})=3\cdot\frac{1}{2}=3$

Since we can't divide by zero, we need to find when:

$x^4-2x^2+144=0$

But before, we can factor the numerator and the denominator:

$\begin{gathered} \frac{3x^2(x^2+x-12)}{x^4-25x^2+144}=\frac{3x^2((x+4)(x-3))}{(x-3)(x-3)(x+4)(x+4)} \\ so: \\ \frac{3x^2}{(x+3)(x-4)} \end{gathered}$

Now, we can conclude that the vertical asymptotes are located at:

$\begin{gathered} (x+3)(x-4)=0 \\ so: \\ x=-3 \\ x=4 \end{gathered}$

so, for x = -3:

$\lim_{x\to-3^-}f(x)=\lim_{x\to-3^-}-\frac{162}{x^4-25x^2+144}=-162(-\infty)=\infty$ $\lim_{x\to-3^+}f(x)=\lim_{x\to-3^+}-\frac{162}{x^4-25x^2+144}=-162(\infty)=-\infty$

For x = 4:

$\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$ $\lim_{x\to4^-}f(x)=\lim_{n\to4^-}\frac{384}{x^4-25x^2+144}=384(-\infty)=-\infty$

4 0

6 months ago

Does (7, 8) make the equation y = x + 5 true?

NNADVOKAT [17]

Answer:

Step-by-step explanation:

no the correct point would be (7,12)

7x1=7

7+5=12

3 0

2 years ago

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The owner of a convenience store keeps track of how many customer buy lunch food during the "noon rush" each day for four days a

alexdok [17]

Answer:

c) 62.

Step-by-step explanation:

Let x represent number of customers came in on the fifth day.

We have been given that the mean number of customers for those four days is 52. So total number of customers on 4 days would be 4 times 52 that is 208 customers.

We know that mean of a data set is equal to sum of all data points divided by number of data points.

Total number of customers on 5 days would be $208+x$ and total number of days is 5.