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Gelneren [198K]
3 years ago
11

Enter the decimal equivalent of 9/4.

Mathematics
2 answers:
Ludmilka [50]3 years ago
5 0

Answer:

2.25

Step-by-step explanation:

9 divided by 4 is 2.25

Finger [1]3 years ago
4 0

Answer:

2.25

Step-by-step explanation:

\frac{9}{4} = 2\frac{1}{4} = 2.25.

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Find the indefinite integral using the substitution provided.
Nady [450]

Answer:  7\text{Ln}\left(e^{2x}+10\right)+C

This is the same as writing 7*Ln( e^(2x) + 10) + C

=======================================================

Explanation:

Start with the equation u = e^{2x}+10

Apply the derivative and multiply both sides by 7 like so

u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\

Integrating leads to

\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of \frac{14e^{2x}}{e^{2x}+10}

4 0
2 years ago
A variable needs to be eliminated to solve
lesya692 [45]

Answer:

(7, - 7 )

Step-by-step explanation:

- 4x + y = - 35 → (1)

- 2x - y = - 7 → (2)

adding the 2 equations term by term will eliminate the y- term

(- 4x - 2x) + (y - y) = - 35 - 7

- 6x + 0 = - 42

- 6x = - 42 ( divide both sides by - 6 )

x = 7

substitute x = 7 into either of the 2 equations and solve for y

substituting into (1)

- 4(7) + y = - 35

- 28 + y = - 35 ( add 28 to both sides )

y = - 7

solution is (7, - 7 )

6 0
2 years ago
What is the measure of RPQ
patriot [66]

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

31 + x = 180

x = 149

Arc PQ is supplementary to Arc SQ so

90 +  x = 180

x = 90

Arc Addition:

149 + 90 = 239

8 0
3 years ago
Find x using the picture below.
Katen [24]

Answer:

x ≈ 14.5

Step-by-step explanation:

A = x²√(25+10√5)/4

A = 1.72a²

x² = A/1.72

= 363.27/1.72

≈ 211

x = √211

≈ 14.5

6 0
3 years ago
Easy question!!
Xelga [282]

Answer:

136 ft^2

Step-by-step explanation:

Surface area = 2 [ (l*w) + (l*h) + (w*h) ]

= 2 [ (8*3) + (8*4) + (4*3) ]

= 136 ft^2

4 0
3 years ago
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