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solmaris [256]
3 years ago
5

BRAINLIEST WILL BE GIVEN!! The budget for a school dance is $370.00. Decorations and refreshments cost $165.00. The band charges

a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer:

3 hours

Step-by-step explanation:

olasank [31]3 years ago
6 0

Answer:

3 hours

Step-by-step explanation:

370-165=205

205-100=105

105/35=3

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3 years ago
The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th
Fantom [35]

Answer:

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C

Step-by-step explanation:

To find:

∫6x^5(x^6-2)\,dx

Solution:

Method of substitution:

Let x^6-2=t

Differentiate both sides with respect to t

6x^5\,dx=dt

[use (x^n)'=nx^{n-1}]

So,

∫6x^5(x^6-2)\,dx = ∫ t\,dt = \frac{t^2}{2}+C_1 where C_1 is a variable.

(Use ∫t^n\,dt=\frac{t^{n+1} }{n+1} )

Put t=x^6-2

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1

Use (a-b)^2=a^2+b^2-2ab

So,

∫6x^5(x^6-2)\,dx = \frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C

where C=2+C_1

Without using substitution:

∫6x^5(x^6-2)\,dx = ∫6x^{11}-12x^5\,dx = \frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C

So, same answer is obtained in both the cases.

7 0
3 years ago
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The
jeka57 [31]

The ladder and the outside wall form a right triangle

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<h3>How to determine the length of the ladder?</h3>

The given parameters are:

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The length (L) of the ladder is calculated using the following cosine ratio

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So, we have:

cos(77) = 22/L

Make L the subject

L = 22/cos(77)

Evaluate the product

L = 97.8

Hence, the length of the ladder is 97.8 feet

Read more about right triangles at:

brainly.com/question/2437195

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2 years ago
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Step-by-step explanation:

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