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Tems11 [23]
2 years ago
13

Please help! Help Will Give 100 PTS

Mathematics
1 answer:
allochka39001 [22]2 years 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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I cant get this one, 216−(−83)+(−479)
Inessa [10]

Answer:

180

Step-by-step explanation:

=216-(-83)+(-479)

=216+83-479

=299-479

=180

7 0
3 years ago
Which is the measure of the reference angle for 227 degrees ?
Levart [38]

Answer:

  C.  47°

Step-by-step explanation:

The angle between the terminal ray of 227° and the nearest x-axis (the negative x-axis) is ...

  227° -180° = 47°

The reference angle is 47°.

_____

In mathematical terms the reference angle is the minimum of the angle modulo 180° and the supplement of that angle.

  227° modulo 180° = 47°

  180° -47° = 133° . . . . supplement of 47°

  min(47°, 133°) = 47° . . . the reference angle

8 0
3 years ago
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste
UkoKoshka [18]

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of population = 25000

Percent of sample of Jason = 0.24%

Percent of sample of Yolanda's = 0.32%

So, Number of population according to Jason's sample is given by

\frac{0.24}{100}\times 25000\\\\=0.0024\times 25000\\\\=60

Number of population according to Yolanda's sample is given by

\frac{0.32}{100}\times 25000\\\\=0.0032\times 25000\\\\=80

Both the sample can be used to make inferences about the population

Hence, Last Option is correct.

3 0
3 years ago
Read 2 more answers
Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarized in the GFDT below.
kondor19780726 [428]

Answer:

The lower class boundary for the first class is 140.

Step-by-step explanation:

The variable of interest is the length of the fish from the North Atlantic. This variable is quantitative continuous.

These variables can assume an infinite number of values within its range of definition, so the data are classified in classes.

These classes are mutually exclusive, independent, exhaustive, the width of the classes should be the same.

The number of classes used is determined by the researcher, but it should not be too small or too large, and within the range of the variable. When you decide on the number of classes, you can determine their width by dividing the sample size by the number of classes. The next step after getting the class width is to determine the class intervals, starting with the least observation you add the calculated width to get each class-bound.

The interval opens with the lower class boundary and closes with the upper-class boundary.

In this example, the lower class boundary for the first class is 140.

6 0
3 years ago
A group of 8 girls went apple picking. The girls picked a total of 25 pounds of apples. They each get to take home the same amou
valina [46]

Answer:

Each girl will take home 3.125 poinds of apples

Step-by-step explanation:

25/8 = 3.125

3 0
3 years ago
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