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3 years ago

The formula for the volume of a rectangular prism with length l, width w, and height h is V=lwh. Solve the formula for w.

1 answer:

8 0

V = lwh Divide both sides by lh
$\frac{V}{lh}$ = w Switch the sides to make it easier to read
w = $\frac{V}{lh}$

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What is the value of x in the equation x + 10 = 13? O-3 03 0 13 O 23

gayaneshka [121]

Answer:

Step-by-step explanation:

x+10=13

x+10-10=13-10

Simplfiy

x=3

3 0

3 years ago

Read 2 more answers

Multiply and simplify

steposvetlana [31]

That would be the cube root of (x+5)^11.

If desired, this could be reduced to the cube root of (x+5)^9*(x+5)^2, which would be

(x+5)^3*(x+5)^(2/3)

7 0

4 years ago

A ball is thrown directly up in the air from a height of 5 feet with an initial velocity of 60 ft/s. Ignoring air resistance, ho

Mice21 [21]

Answer:

3.8 seconds

Step-by-step explanation:

Given equation

$h= -16t^2 + 60t + 5$

When the ball hits the ground then height is 0

So we replace h with 0 and solve for t

$0= -16t^2 + 60t + 5$

a= -16 , b= 60 and c= 5

Apply quadratic formula to solve for t

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

= $\frac{-60+\sqrt{60^2-4\left(-16\right)\cdot \:5}}{2\left(-16\right)}[/tex[tex]=\frac{-60+-\sqrt{3920}}{-32}$

$=\frac{-60+-28\sqrt{5}}{-32}$

$=\frac{4(-15+-7\sqrt{5})}{-32}$

$=\frac{(-15+-7\sqrt{5})}{-8}$

Now make two fractions and solve for x

t= $-\frac{7\sqrt{5}-15}{8}$ =-0.0815

t= $\frac{7\sqrt{5}+15}{8}$ =3.83

So answer is 3.8 seconds

4 0

3 years ago

Roberta jogs 3 laps the first day, 5 laps the second day, 7 laps the third day,

iris [78.8K]

Answer:

Sixth day

Step-by-step explanation:

Keep adding 2 until you get to 13

8 0

3 years ago

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). That already excludes answers A and C.

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

$a_{2} = 2 * (-3)^{2+1} = 2 * (-3)^{3} = 2 * -27 = -54$

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

$a_{2} = 2 * (-3)^{2-1} = 2 * (-3)^{1} = 2 * -3 = -6$

Right! Let's verify with n=5 to get 162:

$a_{5} = 2 * (-3)^{5-1} = 2 * (-3)^{4} = 2 * 81 = 162$

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0

3 years ago