President Obama wrote a children's book about extraordinary Americans. One of those
Americans was Albert Einstein. One of Einstein's equations is shown below. Rearrange the
equation to solve for c
E = mc² where Eis energy, m is mass, and c is the speed of light
A) c = (E2 - m)1/2
B) c = E - m2
C) c = (E/m) 1/2
D) c = Em2

Answer:

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

Step-by-step explanation:

Required

Which of a to d has no solution

(a)[tex]6m \le - 36[/tex] and [tex]m + 24 > 20[/tex]

We have: [tex]m + 24 > 20[/tex]

Sole for m

[tex]m >20 - 24[/tex]

[tex]m >-4[/tex]

[tex]6m \le - 36[/tex]

Divide by 6

[tex]m \le -6[/tex]

So, we have:

[tex]m \le -6[/tex] and [tex]m >-4[/tex]

[tex]m \le -6[/tex] implies that: m = -6,-7,-8,-9.....

[tex]m >-4[/tex] implies that m = -3,-2,-1,0.....

Hence, there is no solution

Answer:

$8518.40

Step-by-step explanation:

FV = PV(1+r)^n

FV = future value

PV = present value

r = rate

n = # of years

Value in 2 yrs = 11,000 x (1 - 0.12)^2 = 8518.4

Answer: 12

Step-by-step explanation:

You can find the area of a rectangle that forms around it, and then subtract the little extra triangles. You can form a 5 by 5 square around the points. There are 4 extra little triangles. Two of them have a base and height of 2 and 2. Two of them have a base and height of 3 and 3. So you get the total area of those 4 triangles to be: 2+2+4.5+4.5=13. So 25-13=12.

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Coefficient of 'x'= 5a

Coefficient of 'x square'= -17

Constant term = 14a

Answer:

1. C

3. D

5. B

Don't know the others sorry!

Step-by-step explanation:

Answer:

4. [tex]g(x)=-x^{2}-10x-15[/tex]

6.[tex](2, -11)[/tex]

Answer:

x and y intercept

x —> (–6,0)

y —> (0, 3)

Answer:

i rath  r buy...

the twin-pack

sunscreen

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Angle 1 and 2 are alternate angles

Then they are equal

2x+20=3x+10

Solve for x

X=10

Then 2 (10)+20 =40

Answer:

13.157894736842% or 13.2% or 13%

Step-by-step explanation:

me with math:  (┬┬﹏┬┬)

Answer:

6400/8 = 800gm

because 7000-600= 6400

and 6400/8 is our answer = 800grams

Step-by-step explanation:

1)  First we can convert kg into grams

2)   Then we deduct 600grams from the mass to show the weight of the mass without the weight of the bowl = - 600grams

1)      7kg = 7000gm  

2)     7000-600 = 6400

6400/8 = 800 grams

Answer:

Option B (800))

Step-by-step explanation:

We know that the mass of the empty container is 600 gr

And when they put 8 cans of equal mass then the final weight of the container is 7 kilograms or 7000 grams

If we call x the weight of the cans then this situation can be represented.

Now we solve the equation for the variable x.

Answer:

882 in^2

Step-by-step explanation:

Answer:

test statistic = 12.115

Step-by-step explanation:

Given data :

std = 2.1 years

n = 10

( std )^2 = 4.41

determine the test statistic

apply a two-tailed test ( chi squared test for one population variance )

test statistic

λ^2 = [tex]\frac{(n-1)s^2}{3.2761}[/tex]   ( Referring to Exhibit 11-1 )

      = ( 10 - 1 )*(2.1)^2 / 3.2761

      = 12.115

9514 1404 393

Answer:

  A)  15

Step-by-step explanation:

The angle where the tangent meets the radius is 90°, so the Pythagorean theorem applies to this right triangle.

  ?² +8² = 17²

  ?² = 289 -64 = 225

  ? = √225 = 15

The unknown side length is 15.

Answer:

lenght indicated appear to be tangent

Answer:

Is that all to the problem?

Step-by-step explanation:

Answer:

Is there supposed to be more information?

Step-by-step explanation:

Answer:

so it is 20 c because like why not

Answer:

Left skewed

Step-by-step explanation:

Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.

Thus, we can say it's left skewed.

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 21 and a standard deviation of 5.

This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

Answer:

60

Step-by-step explanation

20*3 becasuse it equlatrial

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

We have,

A ✕ B:

The concept of Cartesian product was used to generate all possible ordered pairs by pairing each element from set A with each element from set B.

R:

The concept of the absolute value was used to determine the condition for an ordered pair (x, y) to be in relation R, which is that the absolute value of x is equal to the absolute value of y.

S:

The concept of even numbers was used to determine the condition for an ordered pair (x, y) to be in relation S, which is that the difference between x and y is an even number.

R ∪ S:

The concept of a union was used to combine the ordered pairs that are in either relation R or relation S.

R ∩ S:

The concept of intersection was used to find the ordered pairs that are common to both relation R and relation S.

Thus,

The ordered pairs in each set are:

A ✕ B = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 4), (7, 7), (9, 4), (9, 7)}

R = {(-4, 4), (4, 4), (7, 7), (9, 9)}

S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∪ S = {(-4, 4), (-4, 7), (4, 4), (4, 7), (7, 7), (7, 4), (9, 9), (9, 7)}

R ∩ S = {(-4, 4), (4, 4), (7, 7), (9, 9)}

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ4

Answer:

D) 205

Step-by-step explanation:

Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)

Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3

Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100

So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)

= 83 - 10 + 24 + 110 = 207  

The closest to this calculated estimated figure ie 207, is 205.

Answer:

1 2/5

Step-by-step explanation:

4/5 divided by 4/7

(4/5) x (7/4) = 28/20=7/5 or 1 2/5

Answer:

.11/4 multiply by any number inside the brackets 12x and also 12 to remove the brackets.

2.collect the like terms 3x+8x=11x

3. Then final answer is 11x+3.

Answer:

11x + 3 is the simplest form

Step-by-step explanation:

1/4 (12x + 12) + 8x

First distribute the 1/4 to both terms in the parentheses

= 3x + 3 + 8x

then combine like terms

= 11x + 3

We can't solve for x, only simplify this equation.

Answer:

[tex]\frac{1}{12^{13}}[/tex] or [tex]12^{-13}[/tex]

Step-by-step explanation:

[tex]\frac{12^{-6} }{12^7} = \frac{\frac{1}{12^6} }{12^7} = \frac{1}{12^{13}} =12^{-13}[/tex]

Answer:

b

Step-by-step explanation:

Answer: 32%

Step-by-step explanation:

The percentage increase will be gotten by using the formula:

= Increase in score / Former score × 100

= (33 - 25) / 25 × 100

= 8/25 × 100

= 8 × 4

= 32%

The percentage increase is 32%.

Answer: it is going to be (B)

Answer:

C.256

Step-by-step explanation:

2(lb+bh+hl) = SA

length = 12

width = 4

Height = 5

2( 48+60+20)

128 x  2 = 256

Answer:

x ≈ 5

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{10}[/tex] x ≈ 0.701 , then

x = [tex]10^{0.701}[/tex] ≈ 5

Hello!

I had this problem in a test, and there is an image of a right triangle in the test

We have been given an image of a right triangle and are asked to find the perimeter of our given triangle.

The answer is 10.3 units, Option A

is not the same because you can not add number to alphabet but you can multiple number to alphabet..