If two objects are pushed by the same amount of force, the one with the greater mass will move more slowly. For a science project, Kendra used centimeter cubes, each with the same mass and volume, to build the two rectangular prisms shown. If each rectangular prism is pushed by the same amount of force, which one will move more slowly? Compare the volumes using
> or <?
​

Answer:

  x = 124

Step-by-step explanation:

You want the value of the exterior angle x°, given that the remote interior angles are 83° and 41°.

The exterior angle of a triangle is equal to the sum of the remote interior angles:

  x° = 83° +41°

  x° = 124°

  x = 124

__

Check

The interior angle adjacent to x° is its supplement:

  180° -124° = 56°

The sum of the interior angles of the triangle is 180°:

  83° +41° +56° = 180° . . . . . true

The theorem we cite above is a consequence of the fact that the missing interior angle is supplementary to both x° and the sum of the other two interior angles. It saves having to find the measure of the missing interior angle.

Answer: 2 cans of soup left.

Step-by-step explanation:

1/2 of 8 = 4.

1/4 of 8 = 2.

4 + 2 = 6, so you are giving 6 cans of soup away. 8 - 6 = 2. In conclusion, you have 2 cans of soup left.

The amount of pounds that an 11-foot beam can support is 496.

Variation is a topic majorly in mathematics which expresses the relations between dependent and independent variables in form of equation. Some types of variation are: direct variation, inverse variation, constant variation etc.

In the given question, let the strength of a beam be represented by S and its length by l.

Thus;

S \(\alpha\) 1/ l^2

S = k/ l^2

where k is the constant of proportionality.

when l = 10 ft, S = 600 pounds, then;

600 = k/(10)^2

600 = k/100

k = 600*100

  = 60000

k = 60000

So that;

S = 60000/ l^2

Now, when l = 11 ft, then;

S = 60000/ 11^2

  = 60000/ 121

  = 495.88

S = 496 pounds

The amount of pounds that 11 ft beam can support is 496.

Learn more about variation at https://brainly.com/question/10252139

#SPJ1

Step-by-step explanation:

everything can be found in the picture

The height of the cylinder whose surface area is given would be = 85 yards.

The cylinder is a type of shape that has three sides which consists of two opposite circles that are joined by a curved surface.

To calculate the height of a cylinder, the formula that should be used is given as follows:

Surface area of cylinder = 2πrh + 2πr²

radius = 29 yards

surface area = 20,761.68 square yards

height = ?

That is ;

20,761.68 = 2×3.14× 29×h + 2×3.14× 29×29

20,761.68 =182.12h + 5281.48

182.12h = 20,761.68-5281.48

182.12h = 15480.2

h = 15480.2/182.12

= 85 yards

Learn more about area here:

https://brainly.com/question/28470545

#SPJ1

Average rate of return for 3D Printer is 4% and for Truck is 9%.

Average income = Estimated total income/ useful life.

For 3D Printer,

Average Income = 4160/ 4

Average Income = $1040

For Truck,

Average Income = 15120/ 7

Average Income = $2160

Average Investment = (Investment + residual value)/ 2

For 3D Printer,

Average Investment = (52000 + 0)/ 2

Average Investment = $26000

For Truck,

Average Investment = (48000 + 0)/ 2

Average Investment = $24000

Average rate of return = Average Income/ Average Investment

For 3D Printer,

Average rate of return = 1040/26000

Average rate of return = 4%

For Truck,

Average rate of return = 2160/24000

Average rate of return = 9%

Hence, average rate of return for 3D Printer is 4% and for Truck is 9%.

To learn more about rate of return, visit:

brainly.com/question/28744270

#SPJ4

Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

Answer: (6,11π/6).

Step-by-step explanation:We need to find the radius r and the angle θ. Remember that r2=x2+y2, so

because of the signs of x and y, our angle is in quadrant IV. Therefore, we find that θ=11π/6.

So the final answer is (6,11π6).

Answer:

143°

Step-by-step explanation:

supplementary angles are angles that combine to form a straight line (and we know that a straight line = 180 degrees)

you can think of an angle as needing another angle to "supplement" it into being a full line.

So, we know that one angle = 37°

And that: one angle + supplementary angle = 180 degrees

                 37° + x  = 180°

                - 37           -37

                     x    = 143

So, the measure of this angle's supplement is 143°

hope this helps!!

Answer:

143 degrees

Step-by-step explanation:

180 - 37 = 143

Answer:

It's actually very easy. I learned them in 6th grade. There are 2 step linear equations too! I'll give an example.

Step-by-step explanation:

equations:

5x-4=7

1. draw a line through the equation sign going down.

2. you are going to change the - sign to a + because you have to do the inverse operation.

3. Then you are going to add the four under both sides (4 and 7) when you add them you are going to get 7+4= 11 and 4-4 is just going to put a zero which is going to turn into an x or whatever your variable is.

4. The 5 and the x are together that means multipilcation so your going to do the inverse operation and that will be division.

5. then you do 5 divided by 11. then you get your answer  

hope this helps

mark me please

Answer:

22 meters/23.98 yards= 1 meter/ 1.09 yards

Step-by-step explanation:

You would multiply 22 by 1.09 and that is 23.98. Then you divided that from 1 and get 23.98 or you can round it to 24.

Answer:

C. x is y less than z

Step-by-step explanation:

x+y=z

by using transposition

x = z-y

whatever x is, it is equal to the value of y taken from z

Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

Answer:

The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.

Answer:

  C.  x ≥ 11 or x ≤ -3

Step-by-step explanation:

This inequality can be resolved into two:

  -7 ≥ x -4  or  x -4 ≥ 7

Adding 4 to the first one of these gives ...

  -3 ≥ x   ⇔   x ≤ -3

Adding 4 to the second of the inequalities above gives ...

  x ≥ 11

The full solution is then ...

  x ≥ 11 or x ≤ -3 . . . . . matches choice C

______

Additional comment

You can see in the attachment that when the value of the absolute value expression is supposed to be greater than some number, the solution set will have two disjoint parts. That means the answer expression must include "or", eliminating choices A and B.

__

When you are given the inequality in the form ...

  |f(x)| ≤ c . . . . . note "less than ..."

It can be resolved to the compound inequality ...

 -c ≤ f(x) ≤ c

When the inequality symbol points the other way ("greater than ..."), this sort of resolution doesn't really make sense. (You can do it, but you need to recognize the nonsense involved. Your teacher may not appreciate this "work".) In the present case, that would look like ...

  -7 ≥ x -4 ≥ 7

When you add 4 to all parts of this, it becomes ...

  -3 ≥ x ≥ 11

Recognizing the nonsense in this expression, you can rewrite it in two parts the way it should be written:

  -3 ≥ x OR x ≥ 11

Answer:

Below

Step-by-step explanation:

Put '9' where  'n' is and compute

(9)^2 + 6(9) ÷ 3 =

81  +    54 ÷3  =

81  + 18 =   99

We have

scale factor

The largest side 10 in

Then we need to obtain the shortest side

Therefore the dimensions of the largest possible map are

6 2/3 in by 10 in

Using an exponential function, it is found that the amount of total sales by the end of the 4th quarter is of $224,671.875.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 - r)^t\)

In which:

In this problem, the parameters are r = 0.15 and A(0) = 45000.

Then:

Then, the total amount is:

T = A(0) + A(1) + A(2) + A(3) = 45000 + 51720 + 59512.5 + 68439.375 = $224,671.875.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:you know how to get it look it up :D

Step-by-step explanation:

Give me big brain plz

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

B. Share them with the office to celebrate a job well-done.

Step-by-step explanation:

This is a question about ethics.

There are 3 dozen doughnuts, which is equal to 36 doughnuts, probably enough to go round the office of the newsroom.

The feature profile from yesterday was a team work, you were not the only one involved, since the doughnut was brought to the newsroom, it is ethical that you share them with the office to celebrate a job well-done. This shows that you appreciate the team work put together by the whole office.

As noble and benevolent as taking the doughnut to the homeless center, it wont be ethical in this situation.

Answer:

huh?

Step-by-step explanation:

Answer:

\(8.5x+4y=99.5,\ x+y=17\)

Step-by-step explanation:

\(\mathrm{System\ of\ equations:}\\8.5x+4y=99.5\\x+y=17\\\mathrm{where,}\ x\ \mathrm{is\ the\ number\ of\ popcorns\ and\ }y\mathrm{\is\ the\ number\ of\ candies}\)

Answer:

5xy + 5y

Step-by-step explanation:

6xy + 3y - xy + 2y

Combine like terms, "y" can only be combined with "y", and "xy" can only be combined with "xy"

6xy + 3y - xy + 2y

5xy + 5y

The total weight of Rice that Mark buys is given as follows:

2.5 pounds.

The total weight of Rice that Mark buys is obtained applying the proportions in the context of the problem.

The weight of each bag is given as follows:

5/8 pounds = 0.625 pounds.

The number of bags is given as follows:

4 bags.

Hence the total weight of Rice that Mark buys is given as follows:

4 x 0.625 = 2.5 pounds.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Setting up and computing the integral is straightforward. The two parabolic cylinders \(z=8-x^2\) and \(z=x^2\) meet when

\(x^2 = 8 - x^2 \implies 2x^2 = 8 \implies x = \pm2\)

Then the volume is

\(\displaystyle \int_0^3 \int_{-2}^2 \int_{x^2}^{8-x^2} dz \, dx \, dy = 3 \int_{-2}^2 ((8-x^2) - x^2) \, dx \\\\ ~~~~~~~~ = 6 \int_0^2 (8 - 2x^2) \, dx = \boxed{64}\)

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

\(P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})\)

                    \(=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483\)

Thus, the probability of thickness exceeding 101 is 0.4483.

According to the information, we can infer that the correct expression is (10 * 7) + (2 * 7) (option D).

To find the correct expression we must look at the graph and interpret the information it has. In this case, some tiles are white and others are gray, so they would represent different elements. In this case, the white area is 10 * 7 tiles, so this would be the first part of the expression.

On the other hand, the second part of the expression would be 7 * 2, which represents the length, length and width of the gray area. According to the above, the correct expression would be (10 * 7) + (2 * 7), the first part in parentheses represents the white area and the second part in parentheses represents the gray area.

Learn more about tiles in: https://brainly.com/question/18257982

#SPJ1

Answer:

less than or equal to -26

Answer:

9+c < 15

OR

c < 6

Step-by-step explanation:

"the sum of 9 and c" means: 9+c

"is less than or equal to 15" means: < 15

If you need to simplify it, then subtract 9 from both sides, and you get

c < 6