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3 years ago

14 is what percent of 56

Mathematics

1 answer:

Sergio [31]3 years ago

6 0

The answer to this is 25%.

Divide 14 to 56. 14/56 x 100/100 = 25/100= 25%

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Math work! Plz help!!

Svetllana [295]

180 + 60x = 2,000

180 is how much money she has already, 60 is how much she makes per week, x is the amount of weeks, and 2,000 is her goal.

5 0

3 years ago

14,000 acres of a 40,000 acre forest burned in a forest fire. what percentage of the forest was damaged?

Oksanka [162]

% damaged = (14 000/40000) * 100%

= 14/40 * 100%

= 0.35*100%

= 35%

7 0

4 years ago

Read 2 more answers

Integrate e^x(sin(x) cos(x))

Karo-lina-s [1.5K]

$I=\int e^x(\sin(x)\cos(x))dx=\int e^x(\frac{1}{2}\sin(2x))dx=\frac{1}{2}\int e^x\sin(2x)dx$

$\text{If }u=\sin(2x)\to du=2\cos(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
\text{Using }\int u\,dv=uv-\int v\,du:\\\\
I=\frac{1}{2}(e^x\sin(2x)-\int e^x(2\cos(2x))dx)\\\\
2I=e^x\sin(2x)-2\underbrace{\int e^x\cos(2x)dx}_{I_2}$

Looking for $I_2$ :

$\text{If}~u=\cos(2x)\to du=-2\sin(2x)dx~\text{and}~dv=e^xdx\to v=e^x:\\\\
I_2=e^x\cos(2x)-\int e^x(-2\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(\sin(2x))dx\\\\ I_2=e^x\cos(2x)+2\int e^x(2\sin(x)\cos(x))dx\\\\ I_2=e^x\cos(2x)+4\int e^x(\sin(x)\cos(x))dx=e^x\cos(2x)+4I$

Replacing:

$2I=e^x\sin(2x)-2I_2\iff\\\\2I=e^x\sin(2x)-2(e^x\cos(2x)+4I)\iff\\\\
2I=e^x\sin(2x)-2e^x\cos(2x)-8I\iff\\\\
10I=e^x\sin(2x)-2e^x\cos(2x)\iff\\\\
I=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))\\\\
\boxed{\int e^x(\sin(x)\cos(x))dx=\dfrac{e^x}{10}(\sin(2x)-2\cos(2x))+C}$

6 0

4 years ago

Becky made 63 carnival masks, which is 30% less than the number her brother made. How many carnival masks did becky and her brot

anyanavicka [17]

Answer:

153

Step-by-step explanation:

5 0

3 years ago

Mr. Johnson hired a contractor to build a small deck on the back of his house. The cost of materials alone added to $678.12. Whe

raketka [301]

Answer:

Yes, the bill is absolutely accurate

Step-by-step explanation:

Cost of materials= $ 678.12

Final bill amount(given)=$1206.12

Rate= $32 per hour for 16.5 hrs

Total amount for 32 hrs = time * rate = 16.5* 32=$528

Therefore, by the problem ,

<em>Cost of materials+ Total amount for 32 hrs = Final bill amount</em>

= 678.12+ 528

=1206.12

<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>

4 0

4 years ago