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jekas [21]
2 years ago
5

Suppose that $x$ is a multiple of 6 (not necessarily positive). If the square of $x$ is less than 200, how many possible values

of $x$ are there
Mathematics
1 answer:
antoniya [11.8K]2 years ago
3 0

All multiple of 6 under 14 are: -12, -6, 0, 6, 12

How do we get 14 here:

√200= 14.142 (Round to thousandth place)

This is how many x we have found.

A multiple in math is the number you get when you multiply a certain number by using an integer. for example, multiples of 5 are: 10, 15, 20, 25, 30…, and so forth. Multiples of 7 are 14, 21, 28, 35, 42, 49…and many others.

In math, the meaning of a multiple is the product result of one number multiplied by another number. Here, 56 is a multiple of the integer 7. Here is an example of multiples: Fun facts. 0 is a multiple of every number as the product of 0 multiplied by any number is 0.

Learn more about Integers here brainly.com/question/17695139

#SPJ4

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What is the 11th term of the geometric sequence with this explicit formula?<br> an = 5.(-2)(n-1)
erastova [34]

Answer:

5,120

Step-by-step explanation:

an = 5.(-2)^(n-1)

a11 = 5.(-2)^(11-1)

= 5.(-2)^10

= 5.(1,024)

= 5,120

7 0
3 years ago
Please help asap <br>What is the factored form of this expression? 5p^3-10p^2+3p-6​
poizon [28]

Answer:

(5p^2+3)(p-2)

Step-by-step explanation:

In this problem, we need to write the factor form of expression 5p^3-10p^2+3p-6.

It can be done as follows :

5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)

Taking common form the terms as follows :

=p(5p^2+3)-2(5p^2+3)

It can be also written as :

=(5p^2+3)(p-2)

Hence, the factored form of 5p^3-10p^2+3p-6 is (5p^2+3)(p-2)

7 0
3 years ago
9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days
andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score

Given that:

\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

7 0
3 years ago
john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation
tatyana61 [14]

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

\frac{p}{3}

Total pages read by John = 114

Then according to the statement

114=\frac{p}{3}-3

We can solve the equation to get the total pages of the novel

114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Keywords: Linear equation, variable

Learn more about linear variable at:

  • brainly.com/question/9196410
  • brainly.com/question/9178881

#LearnwithBrainly

8 0
3 years ago
Two sides of a triangle have the same length. The third side measures 4 m less than twice the common length. The perimeter of th
velikii [3]

Answer:

the length of the two equal sides: 8m

the length of the third side: 8m-4m=4m

8m×2+4m=20m

5 0
3 years ago
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