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2 years ago

12

A student earned a grade of 80% on a math test that had 29 problems. How many problems on this test did the student answer corre

ctly? (Round to the nearest whole number)

2 answers:

KengaRu [80]2 years ago

6 0

He got 23 questions correct out of 29 problems

Andreyy892 years ago

3 0

The student got 23 out of 29 questions correct.

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Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0

3 years ago

What is the answer to 24x + 2y =48 for x

lisabon 2012 [21]

If your looking for the x-intercept then is would be 2
Hope this helps

6 0

3 years ago

F is the midpoint of GH. Point G is located at 32 and F is at 105. What is the location of point H?

sukhopar [10]

The location of point H is 68.

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2 years ago

In the given figure, if y = 30, find (i) x (ii) z and (iii) u

pogonyaev

Answer:

u=30

x=150

z=150

y=30

Step-by-step explanation:

u=y [ being vertically opposite angle]

x+u=180[ being linear pair]

x+30=180

x=180-30

x=150

z=x[being vertically opposite angle]

z=150

y=u[ being voa]

8 0

1 year ago

Read 2 more answers

Law Incorporation [45]

I'd personally go with A and C, The rest don't make too much sense. Don't count on my answer just yet though.

7 0

2 years ago