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3 years ago

9

Consider two quantities u and v that are related by the expression vp=cuq, where c is a constant. the exponents p and q are not

necessarily integers. define x=logu and y=logv. find an expression for y in terms of x.

1 answer:

Mazyrski [523]3 years ago

3 0

Answer:

y = (q/p)x +log(c)/p

Step-by-step explanation:

$v^{p}=cu^{q}\qquad\text{original equation}\\\\p\log{(v)}=\log{(c)}+q\log{(u)}\qquad\text{take the log}\\\\py=log{(c)}+qx\qquad\text{substitute x and y}\\\\y=\dfrac{\log{(c)}+qx}{p}$

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In a group of EXPLORE students, 38 enjoy video games, 12 enjoy going to the movies and 24 enjoy solving mathematical problems. O

Katen [24]

Answer:

36 only

because the 2 student their not enjoying Thier outing

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3 years ago

Read 2 more answers

(1.)Find the slope of the line that passes through the given pair of points. (If an answer is undefined, enter UNDEFINED.) (?a +

jekas [21]

Answer:

1. The slope of the line is $m=\frac{-2b+3}{2a}$ .

2. The value of a is 18.

Step-by-step explanation:

If a line passes through two points, then the slope of the line is

$m=\frac{y_2-y_1}{x_2-x_1}$

(1)

It is given that the line passes through the points (-a + 3, b - 3) and (a + 3, -b). So, the slope of the line is

$m=\frac{-b-(b-3)}{a+3-(-a+3)}$

$m=\frac{-b-b+3}{a+3+a-3)}$

$m=\frac{-2b+3}{2a}$

The slope of the line is $m=\frac{-2b+3}{2a}$ .

(2)

If the line passing through the points (a, 1) and (6, 5), then the slope of the line is

$m_1=\frac{5-1}{6-a}=\frac{4}{6-a}$

If the line passing through the points (2, 7) and (a + 2, 1), then the slope of the line is

$m_2=\frac{1-7}{a+2-2}=\frac{-6}{a}$

The slopes of two parallel lines are same.

$m_1=m_2$

$\frac{4}{6-a}=\frac{-6}{a}$

On cross multiplication we get

$4a=-6(6-a)$

$4a=-36+6a$

$4a-6a=-36$

$-2a=-36$

Divide both sides by -2.

$a=18$

Therefore the value of a is 18.

8 0

3 years ago

Place the indicated product in the proper location on the grid. (a - b)(a 2 + ab + b 2)

KiRa [710]

Answer:

a^3 + b^3

Step-by-step explanation:

(a + b)(a^2-ab+b^2)

a(a^2 -ab +b^2) +b(a^2-ab+b^2)

a^3 - a^2b +ab^2 + ba^2 -ab^2 +b^3

a^3 -a^2b +a^2b ab^2-ab^2 + b^3

The final answer will then be:

a^3 + b^3

Hope this helps! Have a great one! And I give out the best of luck for whatever quiz this is on!

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2 years ago

Read 2 more answers

a baker makes 130 loaves so that there are 6 times as many white loaves as granary loaves. half as many brown loaves as white lo

valentina_108 [34]

Answer:

Answer: 78 whites, 13 granary, 39 brown.

Step-by-step explanation:

For each 6 whites, there is 1 granary, and 3 brown. That adds up 10 loaves, so just multiply all those numbers by 13.

3 0

3 years ago

What is D of the arithmetic sequence for which a5 equals 24 and a9 equals 40

Gnom [1K]

In an arithmetic sequence d represent the common difference.

The formula to find the general term of an arithmetic sequence is,

$a_{n} =a_{1} +(n-1)d$

Where $a_{n}$ = nth term and

$a_{1}$ = First term.

Given, $a_{5} = 24, a_{9} = 40$ . Therefore,

$a_{1} +(5-1)d = 24 , a_{1} +(9-1)d = 40$

$a_{1} +4d = 24 , a_{1} +8d = 40$

Next step is to subtract the above equations so that we can eliminate a1 and get the value of d. Hence,

4d - 8d = 24 - 40

-4d = - 16

$\frac{-4d}{-4}= \frac{-16}{-4}$ Divide each sides by - 16.

d = 4

So, d = 4.

Hope this helps yoi!.

5 0

3 years ago