All categories

3 years ago

It is given that D is inversely proportional to v m

Mathematics

1 answer:

Darina [25.2K]3 years ago

8 0

Answer:

Step-by-step explanation:

$D=\frac{k}{\sqrt{m}}\\\\64=\frac{k}{\sqrt{9}}\\\\64=\frac{k}{3}\\\\ 64*3=k\\\\k=192\\a)D=\frac{192}{\sqrt{4}}\\\\=\frac{192}{2}\\\\D=96\\\\b)32=\frac{192}{\sqrt{m}}\\\\ 32*\sqrt{m}=192\\\\\sqrt{m}=\frac{192}{32}=6\\\\m=36$

You might be interested in

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters.

Setler79 [48]

Answer:

B. 28.26

Step-by-step explanation:

8 0

3 years ago

3. Find f[h(a+4)], given the functions below. *

mote1985 [20]

Answer:

C 5a^2 +70a +240

Step-by-step explanation:

We have given these following functions:

$f(x) = 5x, g(x) = -2x + 1, h(x) = x^2 + 6x + 8$

h(a+4)

This function is:

$h(a+4) = (a+4)^2 + 6(a + 4) + 8$

$h(a+4) = a^2 + 8a + 16 + 6a + 24 + 8$

$h(a+4) = a^2 + 14a + 48$

f[h(a+4)]

$f(x) = 5x$

Thus

$f(h(a+4)) = f(a^2+14a+48) = 5(a^2 + 14a + 48) = 5a^2 + 70a + 240$

The correct answer is given by option C.

8 0

3 years ago

Find an equation for the nth term of the arithmetic sequence.

vekshin1

The answer is the second answer choice, an = -13 + 5(n - 1)

5 0

3 years ago

Read 2 more answers

Simplify expressions using the distributive property

Zarrin [17]

9x + 27
-2y + 20
4x - 24
30x + 12xy
15x + 2 (?)

~ I’m not sure abt the last one! I’m sorry if they’re incorrect and I hoped this helps! ~

6 0

3 years ago

Read 2 more answers

I need help with number 35.

Sergio039 [100]

Since ED and DB are exactly half of EB, we can set ED and DB equal to each other.

x + 4 = 3x - 8

Subtract x from both sides. Add 8 to both sides

12 = 2x

Divide both sides by 2

6 = x

ED = 6 + 4 = 10

ED = DB = 10

EB = ED +DB = 10 + 10 = 20

ED = 10

DB = 10

EB = 20

6 0

3 years ago