Find the base of a parallelogram with a height of 5 inches and an area of 95 square inches.

Einstein once developed the formula, E = mc2, to describe the theory of relativity, where E is the total energy in the system, m

Veronika [31]

Answer:

The formula which should be used is $m=\frac{E}{c^{2}}$ ⇒ A

Step-by-step explanation:

To solve an equation of different variables to one of these variables do that

Write the equation and underline the variable you want to solve for it

Separate this variable on one side and all other terms on the other sides

Let us do that with the question

∵ E = mc²

→ E is the total energy

→ m is the total mass

→ c² is the speed of light

∵ We need to solve the equation for the total mass m

→ We need to take c² to the other side

∵ c² is multiplied by m

∴ Divide both sides by c² to move it from the right side to the left side

∴ $\frac{E}{c^{2}}=\frac{mc^{2}}{c^{2}}$

→ Cancel c² with c² on the right side

∴ $\frac{E}{c^{2}}=m$

→ Switch the two sides

∴ $m=\frac{E}{c^{2}}$

The formula which should be used is $m=\frac{E}{c^{2}}$ ⇒ A

6 0

4 years ago

A company makes rubber rafts. 12% of them develop cracks within the first month of operation. 27 new rafts are randomly sampled

rewona [7]

The probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

The true proportion, p for the population is given to 0.12.

Thus, the mean, μ, for the sample = np = 27*0.12 = 3.24.

The sample size, n, given to us is 27.

Thus, the standard deviation, s, for the sample can be calculated using the formula, s = √{p(1 - p)}/n.

s = √{0.12(1 - 0.12)}/27 = √0.003911 = 0.0625389.

We are asked to calculate the probability that the number of tested rafts that develop cracks is no more than 3, that is, we need to calculate P(X ≤3).

P(X ≤ 3)

= P(Z ≤ {(3 - 3.24)/0.0625389) {Using the formula z = (x - μ)/s}

= P(Z ≤ -3.8376114706)

= .00006 {From table}.

Thus, the probability that the number of tested rafts that develop cracks is no more than 3 is .00006.

Learn more about sampling distributions at

brainly.com/question/15507495

#SPJ4

8 0

2 years ago

A real estate developer builds a small number of model homes, one each in a different style. During an open house event, there i

saul85 [17]

Answer:

y = 2^x +5

Step-by-step explanation:

The number of new houses doubles each month, so the base (b) is that multiplier, 2. Then x is the number of months since the construction started (presumably at the end of the open house). If you want x to be something else, then h needs to be chosen so that (x -k) is the number of months the doubling has been taking place.

The value h represents the initial build of 5 houses. This is confirmed by the number 261 = 256 + 5 = 2^8 +5.

So, your equation for the number of houses built over time is ...

y = 2^x +5

6 0

4 years ago

Find the circumference of a circle with diameter 13 units.

laiz [17]

Answer:

C≈40.84

Step-by-step explanation:

C = 2πR

5 0

3 years ago

Read 2 more answers

Let f(x) be a polynomial function such that f(−4)=−5,f′(−4)=0 and f′′(−4)=1. classify the point (−4,−5).

svet-max [94.6K]

THis will be the coordinates of the point at a turning point on the graph.

Since the second derivative is positive (=1) it will be a minimum value of f(x).

3 0

4 years ago