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3 years ago

6

Make "a" the subject of:

1 answer:

slamgirl [31]3 years ago

7 0

Answer:

a=m-x^2/k^2

Step-by-step explanation:

(k^2(m-a)) /x=x

K^2(m-a)=x^2

m-a=x^2/k^2

a=m-x^2/k^2

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What is the answer to Factor 3a^2-6a

Anton [14]

Hi there!

$3 {a}^{2} - 6a \: = 3a(a - 2)$

We can see this by writing the factors as multipliers. We get the following:
$3a {}^{2} = 3 \times \: a \times a$
$6a = 3 \times 2 \times a$

Now we can see that the terms that are in common are 3 and a, and therefore we can bring those outside the parenthesis.

7 0

3 years ago

How many degrees does the hour hand of a clock turn between 3p.m and 7:30p.m

sergeinik [125]

It turns 4 times because 3 x 4 = 7

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3 years ago

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Which statement best describes f(x)=-2√x-7+1

olga nikolaevna [1]

it is under mapping and function

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6 0

3 years ago

The average value of a function f over the interval [−2,3] is −6 , and the average value of f over the interval [3,5] is 20. Wha

Xelga [282]

Answer:

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

Step-by-step explanation:

Let suppose that function $f$ is continuous and integrable in the given intervals, by integral definition of average we have that:

$\frac{1}{3-(-2)} \int\limits^{3}_{-2} {f(x)} \, dx = -6$ (1)

$\frac{1}{5-3} \int\limits^{5}_{3} {f(x)} \, dx = 20$ (2)

By Fundamental Theorems of Calculus we expand both expressions:

$\frac{F(3)-F(-2)}{3-(-2)} = -6$

$F(3) - F(-2) = -30$ (1b)

$\frac{F(5)-F(3)}{5-3} = 20$

$F(5) - F(3) = 40$ (2b)

We obtain the average value of $f$ over the interval $[-2, 5]$ by algebraic handling:

$F(5) - F(3) +[F(3)-F(-2)] = 40 + (-30)$

$F(5) - F(-2) = 10$

$\frac{F(5)-F(-2)}{5-(-2)} = \frac{10}{5-(-2)}$

$\bar f = \frac{10}{7}$

The average value of $f$ over the interval $[-2,5]$ is $\frac{10}{7}$ .

4 0

3 years ago

What is the value of x?

Kazeer [188]

Answer:

Step-by-step explanation:

The volume of a sphere is

$V=\frac{4}{3}\pi r^3$

We are told our volume is 500pi/3, so we fill that in and solve for r:

$\frac{500\pi}{3}=\frac{4}{3}\pi r^3$

Start by multiplying both sides by 3 over 4 pi:

$(\frac{3}{4\pi})\frac{500\pi}{3}=(\frac{3}{4\pi})\frac{4\pi}{3}r^3$

Simplifying gives us

$125=r^3$

Take the cubed root of both sides to get that

r = 5

6 0

3 years ago