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wel
4 years ago
12

Determine the following information about each value in a list of positive integers. a. Is the value a multiple of 7, 11, or 13?

b. Is the sum of the digits odd or even? c. Is the value a prime number?
Mathematics
1 answer:
Aliun [14]4 years ago
6 0
The value of a multiple is 7 , 11 or 14
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Write the equation of the line that passes through the points (8, -4) and (-2,5).
Sladkaya [172]

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

  • (8, -4) and (-2, 5)

The slope between two points

m=\frac{5-\left(-4\right)}{-2-8}

m=-\frac{9}{10}

As the point-slope form is

y-y_1=m\left(x-x_1\right)

substituting the values m = -9/10 and (8, -4)

y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)

Writing the line equation in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)

y+4=-\frac{9}{10}\left(x-8\right)

subtract 4 from both sides

y+4-4=-\frac{9}{10}\left(x-8\right)-4

y=-\frac{9}{10}x+\frac{16}{5}

Therefore, the equation in the slope-intercept form will be:

y=-\frac{9}{10}x+\frac{16}{5}

7 0
3 years ago
A carpenter is cutting a 15 1/4 foot piece of lumber into smaller pieces.
N76 [4]

Answer:

Answers:

Expression is

whole number = 3

fractional part = 4/19

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

Explanation:

Let's convert the mixed number  to an improper fraction

Do the same for the other mixed number.

We'll divide those two improper fractions to find the number of pieces

Then let's convert that to a mixed number like so:

Or you could note that 61/19 leads to 3 remainder 4.

The carpenter is able to get 3 whole pieces out, then the extra fractional part is 4/19 of a foot.

-----------------------------

Here's another way to look at it.

Grab a footlong ruler and split it into 4 equal smaller lengths. I'll refer to these smaller pieces as "quarters" from now on.

1 ruler = 4 quarters

15 rulers = 15*4 = 60 quarters

15 rulers + 1 quarter = 60+1 = 61 quarters

So this is another way to see how the mixed number  is the same as the improper fraction

The same idea would apply to

The overall entire board is 61 quarters long, and each piece is 19 quarters long. So that means 61/19 = 3 & 4/19 represents the number of pieces we can cut.

Step-by-step explanation:

7 0
3 years ago
F(x) = 8x^4 Is this an exponential function or a power function
bulgar [2K]

An exponent is the same thing as a power. For example, 5 to the fourth power is the same as 5 with an exponent of 4.

3 0
3 years ago
What is the area of the shaded region?<br> PLEASE ANSWER AS SOON AS POSSIBKE
9966 [12]

Answer:

74

Step-by-step explanation:

6 0
3 years ago
A = {1, 3, 5, 7, 9}
lions [1.4K]

Answer:

Option B is correct.

Step-by-step explanation:

A = { 1, 3, 5, 7, 9 }

B = { 2, 4, 6, 8, 10 }

C = { 1, 5, 6, 7, 9 }

(B∩C) = {6}      [Common element in set B and set C]

Now A∪(B∩C) = { 1, 3, 5, 6, 7, 9 }

Option B is the answer.

5 0
4 years ago
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