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3 years ago

Given the formula: d=m/V , which answer choice correctly rearranges the variables to solve for V?

Mathematics

1 answer:

77julia77 [94]3 years ago

8 0

Answer:

Step-by-step explanation:

$d = \frac{m}{V} \\Cross\:Multiply\\\\dV = m\\\\Divide\:both \:sides \:of\:the\:equation\:by\:d\\\\\frac{dV}{d} = \frac{m}{d} \\\\\\V = \frac{m}{d}$

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

What is 2 to the first power?

Colt1911 [192]

2 to the first is 2 because there is only one 2

7 0

3 years ago

A graph of a linear function is shown on the grid. Which of these best represents 0 of the function? A 8. B 10. C 16. D 24.

harina [27]

answer:

C. 16

explanation:

when x is 0, the y-intercept is 8

coordinates: (0,8) and (4,6)

slope:

$\sf \frac{y2-y1}{x2-x1}$

$\sf \frac{6-8}{4-0}$

$\sf \frac{-2}{4}$

$\sf -\frac{1}{2}$

equation:

$\sf y = mx +b$ [ where m is slope and b is y-intercept ]

$y = \sf -\frac{1}{2}x +8$

solve for x-intercept:

note: zeros of a function are the values of x when f(x) is equal to 0

$y = \sf -\frac{1}{2}x +8$

$0= \sf -\frac{1}{2}x +8$

$-8= \sf -\frac{1}{2}x$

$\sf x = -8 * -2$

$\sf x = 16$

3 0

2 years ago

Read 2 more answers

Which statement is NOT a step used when constructing an inscribed hexagon?

den301095 [7]

Answer:

Swing two arcs above and below the radius.

Step-by-step explanation:

We want to determine which statement is NOT a step used when constructing an inscribed hexagon?

1. Swing two arcs above and below the radius. False

2. Draw a radius of the circle using a straightedge. True

3. Place the compass on the point where the circle and radius intersect. True

4. Swing an arc the length of the radius from the point on the circle. True

The first choice is the correct answer.

3 0

3 years ago

!!I NEED AN ANSWER QUICKLY!!

Katyanochek1 [597]

Answer:

Step-by-step explanation:

Ans:A.

6×5÷2×11=165

7 0

3 years ago

Read 2 more answers