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Tems11 [23]
1 year ago
13

Please help! Help Will Give 100 PTS

Mathematics
1 answer:
allochka39001 [22]1 year ago
7 0

Answer:

  x = 23; not extraneous

Step-by-step explanation:

A solution is extraneous if it does not satisfy the original equation. Extraneous solutions can sometimes be introduced in the process of solving radical and rational function equations.

<h3>Solution</h3>

Squaring both sides of the given equation, we get ...

  √(3x +12) = 9

  3x +12 = 81 . . . . . . square both sides

  x +4 = 27 . . . . . . . divide by 3

  x = 23 . . . . . . . . . . subtract 4

<h3>Check</h3>

There is only one solution, and it satisfies the equation:

  √(3×23 +12) = √81 = 9

The solution x = 23 is not extraneous.

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Raul biked at a steady speed during his 8 mile ride. He finished the ride in 4/5. Which fraction represents rauls speed in miles
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First Answer:

\frac{8}{4/5}

Second Answer:

10

(I did the quiz)

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twice the sum of a number and 6 is equal to 3 times the difference of the number and 8. Find the number
Serhud [2]

In order to solve this problem, we must solve an equation.

First, we need to define our unknown.

Let's call our number "n".


So, the sum of the number and 6 is the same as saying n+6

Then we need to multiply it by 2 (since it's twice the sum)

2(n+6)

This whole thing is equal to three times of the difference of the number and 8

n-8 is equal to the difference between the number and 8, then we need to multiply it by three.

3(n-8)

now, we set both sides equal and solve

2(n+6)=3(n-8)\\2n+12=3(n-8)\\2n+12=3n-24\\12=n-24\\36=n

The number is 36

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2 years ago
Part D ? Question Suppose the cylindrical water tank has a radius of 12 feet. Use this information and the equation modeling the
Wittaler [7]

The volume of the cylindrical water tank that has a length of 20 feet and a radius of 12 feet is about <u>9,048</u> cubic feet.

The correct option is option <em>d</em>;

d. 9,048

<h3>What is the volume of a solid?</h3>

The volume of a solid indicates the amount of space the solid takes at a location.

The formula for finding the volume of the cylindrical tank is presented as follows;

<em>V</em> = π·r²·L

Where;

r = The radius of the tank

L = The length of the tank

From a similar question on the website, we have;

The length of the tank, <em>L</em> = 20 feet

Therefore;

The volume of the tank, <em>V</em> = π × 12² × 20 ≈ 9048

  • The volume of the water tank is about <u>9,048</u> cubic feet

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11 months ago
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Noelia has 216 cards after buying part of the set with her friends.

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Combining items and counting them as a single, large group is done through addition.

Given that, Noelia has 144 role-playing cards.

Now, she bought 72 cards more, therefore, the number of cards Noelia has is:

144 + 72

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7 0
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Find the sample size, n, needed to estimate the percentage of adults who have consulted fortune tellers. Use a 0.02 margin of er
Brrunno [24]

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Step-by-step explanation:

Formula to find the sample size n , if the prior estimate of the population proportion(p) is known:

n= p(1-p)(\dfrac{z^*}{E})^2 , where E=  margin of error and z* = Critical z-value.

Let p be the population proportion of adults have consulted fortune tellers.

As per given , we have

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n= 0.20(1-0.20)(\dfrac{2.33}{0.02})^2

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n= 2171.56\approx2172

Hence, the required sample size = 2172

3 0
3 years ago
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