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3 years ago

A student claims that 8^3 • 8^5 is greater than 1 explain whether the student is correct or not

2 answers:

7 0

In order to answer this question the parts must be broken down: 8^3 is 8*8*8 which equals 512 and 8^5 is 8*8*8*8*8 which equals 32761. 512*32761 equals 16777216. 167772176 is greater than 1.

nataly862011 [7]3 years ago

4 0

Answer: The student is correct.

Step-by-step explanation:

Since we have given that

$8^3.8^5$

Using the law of exponents, which states that,

$a^m\times a^n=a^{m+n}$

So, we apply this first,

$8^3\times 8^5\\\\=8^{3+5}\\=8^8\\\\=16777216$

which is obviously greater than 1.

Hence , the student is correct.

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In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation. Fif

miv72 [106K]

We conclude that the starting average grade is 79.17%

<h3>How to write the equation and solve it?</h3>

There are 50 students, let's say that the grades are measured between 1% and 100%.

And the average grade of the 50 students is A.

We know that after it increased by 20%, the average of the grades is 95.

Then we just need to solve the percentage equation:

95 = A*(1 + 20%/100%) = A*(1.2)

95/1.2 = A = 79.17

We conclude that the starting average grade is 79.17%

If you want to learn more about percentages:

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6 0

1 year ago

Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quan

Svetach [21]

y = x + 4/x

replace x with -x. Do you get back the original equation after simplifying. if you do, the function is even. replace y with -y AND x with -x. Do you get back the original equation after simplifying. If you do, the function is odd. A function can be either even or odd but not both. Or it can be neither one. Let's first replace x with -x

y = -x + 4/-x = -x - 4/x = -(x + 4/x)

we see that this function is not the same because the original function has been multiplied by -1 . Let's replace y with -y and x with -x

-y = -x + 4/-x

-y = -x - 4/x

-y = -(x + 4/x)

y = x + 4/x

This is the original equation so the function is odd.

8 0

3 years ago

Read 2 more answers

Can you use the ASA Postulate or the AAS Theorem to prove the triangles congruent? (1)

Ber [7]

Answer:

asa only because the two triangles are facing each other like a reflection making them congruent

3 0

3 years ago

Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &

Bess [88]

Answer:

The angle is in the second quadrant.

Step-by-step explanation:

The cosecant of an angle is the same as the reciprocal of the sine of that angle. In other words, as long as $\sin (t) \ne 0$ ,

$\displaystyle \csc t = \frac{1}{\sin t}$ .

Therefore, $\csc(t) > 0$ is equivalent to $\sin (t) > 0$ .

Consider a unit circle centered at the origin. If the terminal side of angle $t$ intersects the unit circle at point $(x,\, y)$ , then

$\cos (t) = x$ , and
$\sin(t) = y$ .

For angle $t$ ,

$x = \cos(t) < 0$ , meaning that the intersection is to the left of the $y$ -axis.
$y = \sin(t) > 0$ , meaning that the intersection is above the $x$ -axis.