Simplify the expression Z^0⋅(Z^2⋅Z^−5)^4 using positive exponents

What digits makes 3,71? Divisible by 3 (connections academy unit test)

wlad13 [49]

Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.

Let us check which digits will make 371? divisible by 3.

$3+7+1+0=11$

11 is not divisible by 3.

Now let us check other digits as well.

$3+7+1+1=12$

12 is divisible by 3.

$3+7+1+4=15$

15 is also divisible by 3.

$3+7+1+7=18$

18 is divisible by 3 as well.

Therefore, 1, 4 and 7 in tenth place will make our number divisible by 3 and our numbers will be 3711, 3714 and 3717.

6 0

4 years ago

2) How old am I if 500 is reduced by 4 times my age is

kakasveta [241]

Answer:
61 years old

Explanation:
You can solve this using an equation. The equation I’m going to use is:
500 - 4x = 256

x will represent the age we are trying to find, so now we will solve to x.

500 - 4x = 256
(- 500 from both sides of the equation)

-4x = -244
(➗-4 on both sides)

x = 61

brainliest plz? :)

5 0

3 years ago

What is the measurement of PQ?

Sholpan [36]

<em>The measure of PQ is 12.72</em>

<h2>Explanation:</h2>

We have the right triangle ΔPQR and we want to know the measure of PQ. PQ is opposite to ∠R, so from trigonometry we know that:

$sin(\alpha)=\frac{Opposite \ side}{Hypotenuse} \\ \\ \\ Here: \\ \\ \alpha=m\angle R=58^{\circ} \\ \\ Opposite \ side=\overline{PQ} \\ \\ Hypotenuse=\overline{RQ}=15 \\ \\ \\ So: \\ \\ sin(58^{\circ})=\frac{\overline{PQ}}{15} \\ \\ \\ Isolating \ \overline{PQ}: \\ \\ \overline{PQ}=15sin(58^{\circ}) \\ \\ \overline{PQ}=15(0.848)\\ \\ \boxed{\overline{PQ}=12.72}$