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GrogVix [38]
3 years ago
6

Each year for 3 years, the time it takes to run a mile decreases by 7 seconds.

Mathematics
1 answer:
cricket20 [7]3 years ago
4 0

Answer:

21

Step-by-step explanation:

You might be interested in
Is (x-3) a factor of f(x) = x^2 - 32?
Leokris [45]

Answer:

No

Explanation:

Here, we want to use the factor theorem to check if the given linear expression is a factor of the binomial

Now, according to the factor theorem, a factor of a polynomial would leave no remainder when divided by it

Mathematically, it means when we substitute the factor value into the polynomial, it is expected that the remainder is zero is the substituted is a factor of the polynomial

We set x-2 to zero:

\begin{gathered} \text{ x-2 = 0} \\ x\text{ = 2} \end{gathered}

Now, we substitute 2 into the polynomial as follows:

f(2)\text{ = }2^2-32\text{ = 4-32 = -28}

There is a remainder of -28 and thus, the linear factor is not a factor of the binomial

3 0
1 year ago
Put these in order from least to greatest<br> 14 √166 13
JulijaS [17]

Answer:

sqrt166, 13, 14

Step-by-step explanation:

3 0
3 years ago
A national military bureau for a certain country collects data on active members in the military. Results are published in a nat
Artemon [7]

Answer:

9.193259%

Step-by-step explanation:

In order to obtain the percentage of military members in the reserves who are​ Black, we will have to multiply the percentage of Black military members in the reserve by the percentage of military members in the reserve. This is calculated as follows:

Military members in the reserves who are​ Black (%) = 77.1771​% × 11.9119​%

                                                                                      = 9.193259%

Therefore, he percentage of military members in the reserves who are​ Black is 9.193259% .

Example

For example, let assume the total number of active members in the military is 100.

To obtain the number of military members who are in the reserves, we multiply 77.1771​% by 100. This gives us 78 approximately.

To obtain the number of military members in the reserves who are​ Black, we multiply 11.9119​% by 78 we got above who are active military members in the reserves. This gives us 9 members approximately.

I wish you the best.

3 0
3 years ago
Read 2 more answers
What is the Quotient of 1 and 2/3 divided by 2 and 3/5
Nostrana [21]

Answer:

  25/39

Step-by-step explanation:

For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

__

  1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}

_____

<em>Additional comment</em>

Your graphing calculator can do this, too.

7 0
2 years ago
Write the equation of a line that is perpendicular to y=3x-2 that passes trough the point (-9,5)
ElenaW [278]

\huge\boxed{y-5&=-\frac{1}{3}(x+9)}

First, we'll find the slope of the new line. The first line has a slope of 3. Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by -1) to get -\frac{1}{3} for the new slope.

Then, we'll use the point-slope form to make the new equation, where m is the slope and (x_1,y_1) is a point on the line:

\begin{aligned}y-y_1&=m(x-x_1)\\y-5&=-\frac{1}{3}(x-(-9))\\y-5&=-\frac{1}{3}(x+9)\end{aligned}

3 0
2 years ago
Read 2 more answers
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