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Gala2k [10]
8 months ago
14

Laura is bowling 5 games. Her first 4 scores were 99, 81, 90, and 86. To end up with an average score of at least 94, what is th

e smallest score Laura will need in the fifth game? 183 114 99
Mathematics
1 answer:
Alexandra [31]8 months ago
3 0

114

1) Gathering the data

The mean is calculated by adding all the numbers and divided by the number of observations in this case 5.

So, Laura needs to score 114 to get at least 94 as an average.

≥

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Step-by-step explanation:

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Tyler tried to solve an equation step by step <br> 3(x +4)=-18
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Answer:

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** HELP ASAP!! **write an equation in slope intercept form of the line that has a slope = -3/2, and passes through the point (-3
rewona [7]

<u>Given </u><u>:</u><u>-</u>

  • Slope of the line is -3/2 .
  • It passes through (-3,3) .

<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>

  • The equation of the line .

<u>Solution</u><u> </u><u>:</u><u>-</u>

Here it's given that ,

\longrightarrow m =\dfrac{-3}{2}

And a point that is (-3,3) . We can use the<u> point</u><u> slope</u><u> form</u><u> </u>of the line which is ,

\longrightarrow y - y_1 = m(x - x_1)

Substituting the respective values,

\longrightarrow y - 3 = \dfrac{-3}{2}\{ x -(-3)\}

Simplify,

\longrightarrow y -3 = \dfrac{-3}{2}( x +3)

Simplify by opening the brackets ,

\longrightarrow y - 3 =\dfrac{-3}{2}x -\dfrac{9}{2}

Add 3 on both sides ,

\longrightarrow y = \dfrac{-3}{2}x -\dfrac{9}{2}+3

Add ,

\longrightarrow \underline{\underline{ y =\dfrac{-3}{2}x -\dfrac{3}{2}}}

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Please help !!! I’ll mark brainliest
frozen [14]

A) State the chain rule for integration

Ans. The chain rule for integration is also known as "  Integration by substitution "

Integration by substitution is taken in order to make integration solve easily in few steps.

For, I = \int\limits (x+2)^{2} \,dx

Instead of expanding term (x+2)^{2}

With substitution of  u = (x+2) and du= 1 dx

We simplified the integration as

I = \int\limits (u)^{2} \, du

I = \frac{(u)^{3}}{3}+C

By replacaing value of u=x+2

I = \frac{(x+2)^{3}}{3}+C

B) State the rule of differentiation for the sine function.

Ans. We know that \frac{d}{dx}Sinx dx = Cosx

C) Find the indefinite integral using substitution.

Ans.

Given, I = \int\limits {\frac{Cos14x}{Sin14x} } \, dx

Take y = Sin14x

Differentiating both side

dy=14Cos14x dx

\frac{dy}{14} = Cos14x\, dx

Substituting values in integration,

I = \int\limits {\frac{Cos14x}{Sin14x} } \, dx

I = \int\limits {\frac{1}{y} } \,\frac{dy}{14}

I = \frac{1}{14}\int\limits {\frac{1}{y} } \,dy

I = \frac{1}{14} lny + C

Replacing values in the integration

I = \frac{1}{14} ln(14Sin14x) + C

D)Check your work by taking a derivative of your answer from part C.

Ans.

Answer for Part C is I = \frac{1}{14} ln(14Sin14x) + C

Differentiating the answer

we get,

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2 years ago
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