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timurjin [86]
2 years ago
13

Prove that a positive integer is a sum of at least two consecutive positive integers if and only if it is not a power of two.

Mathematics
1 answer:
geniusboy [140]2 years ago
3 0

Answer:

45

Step-by-step explanation:

small brain

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-5x+10<30 plz help Hurry plz...
Phoenix [80]

Answer:

x= -4

Step-by-step explanation:

Step 1- Subtract 10 to both sides.

-5x+10< 30

<u>      -10   -10</u>

-5x< 20

Step 2- Divide both sides by -5.

<u>-5x</u>< <u>20</u>

-5     -5

x= -4

<u>Check         </u>

-5(-4)+10< 30

-20+10< 30

-10< 30

Hope this helps! :)

5 0
3 years ago
An engine that’s being tested is coupled to a dynamometer that has a radius arm of 1.70 feet. The test data shows a speed of 5,0
Veseljchak [2.6K]
The brake horsepower of an engine that’s being tested is coupled to a dynamometer that has a radius arm of 1.70 feet is letter D. 170.
7 0
3 years ago
Read 2 more answers
Complete the equation to show how many thirds are equivalent to<br> 8/12 = ?/3
anygoal [31]

Answer:

\frac{2}{3}

Explanation:

What we need to do is to convert \frac{8}{12} into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of \frac{8}{12} - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is \frac{2}{3}.

8 0
4 years ago
Please help i need to write out my work to so please tell me how to show it
Anarel [89]
For the first one write 9 divided by 2 gives your your radius an it’s 3.5. the formula is 2 x 3.14 x radius and that gives you 21.98.

the 2nd one is 2 x 3.14 x 9 = 56.52

the 3rd is 2 x 3.14 x 5= 31.4

formula is always 2 x 3.14 (or pie) x radius

to get your radius from your diameter you do your diameter divided by 2
3 0
2 years ago
Read 2 more answers
Find the surface area of a sphere that has a volume of 288 cu. in.
LenKa [72]

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have the volume = 288 in³. Substitute:

\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in

The formula of a surface area of a sphere:

S.A.=4\pi R^2

Substitute:

S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}

4 0
3 years ago
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