A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 4.5 feet, and a height of 6 feet. The container is completely filled with contents that weigh, on average, 0.78 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?

Answer:

40 cm

Step-by-step explanation:

In the right triangle PNO:

By definition:

cos(β) = adjacent/hypotenuse

Replacing with data and solving for NO:

cos(∠O) = NO/PO

2/5 = NO/100

NO = (2/5)*100

NO = 40

HI!!! I just finished the unit 7 lesson 11 unit test!! Here are the answers: :)

1. A: 2

2. C: 225

3. C: pi/4

4. A: -465

5. C: 0

6. B: 210

7. B: 2pi

8. A: 52

9. C: 40

10. C: 3rd graph

11. A: y=sin pi/265

12. B: 1/4pi

13. D: y=3cos2

14. A: sqrt3/3

15. C: 0

16. C: 3rd graph

17. A: 187

18. C: sqrt2/2

19. B: 1+sin theta

20. D: 45

21. D: 0.64

22. A:80

23. C: pi/2, 5pi/4, 3pi/2, 7pi/4

24. C: csc theta =13/12, sec theta= 13/5

hope this helps someone :)))

Answer:

1261.3 rev

Step-by-step explanation:

Circumference of tire: 3.14(4/3)

4.187 ft.

5280/4.187

1261.3

Answer:

(1,–1), (4, –2), (9, –3)

Step-by-step explanation:

In the picture attached, the plot of the function f(x) = -√x is shown.

To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

The points which lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

In the picture attached, the plot of the function f(x) = -√x is shown. To verify which points lie on the line we compute the following table.

x    √x    f(x) = -√x

1     1        -1

4    2       -2

9    3       -3

We can see that the above points are satisfying the function. Therefore points that lie on the graph will be (1,–1), (4, –2), and (9, –3) so the correct answer is option D.

To know more about graphs follow

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Answer:

[tex]\fbox{\begin{minipage}{13em}approximately 5397.9 dollar\end{minipage}}[/tex]

Step-by-step explanation:

Given:

Lachlan invested $4300 over 5 years at 4.6% p.a., compounded every 6 months.

Solve for:

Total value of his investment.

Step 1: Define the formula to calculate the total value of Lachlan's investment

Total value = Principal x (1 + rate/2)^(Year x 2)

(the rate is divided by 2 and the year is multiplied by 2 because this is compounded semi-annual, not compounded annual)

Step 2: Perform the calculation:

With Principal = 4300$, Rate = 4.6% =4.6/100 = 0.046, Year = 5

=> Total value = 4300 x (1 + 0.046/2)^(5 x 2) ≈ 5397.9$

Hope this helps!

:)

Answer:

Both.

Step-by-step explanation:

[tex]x^2=4[/tex]

[tex]x=\±\sqrt{4}[/tex]

[tex]x=\± 2[/tex]

Answer:

Yes

Step-by-step explanation:

If,

X² = 4

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{4}[/tex]

So, It becomes

X = ±4

Either

X = 2    OR     X = -2

Answers:

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

1. -2

2. 18

3. -2

Step-by-step explanation:

In the following explanations "x" is a variable which represents "a number" given in the problems.

1. You can set up a simple equation " x + 7 = 5 " because you are increasing a number to get the answer. From there you can subtract 5-7 and you'll get -2, the answer to the first one.

2. This time the number is decreased by 6, and the answer is 12. Since it's being decreased, you'll set up the equation like this: " x - 6 = 12 ". For this problem you can do 12 + 6 = 18, which is your answer.

3. A number "added" to -3 is -5. The number following 'is' will almost always be the answer you're looking for, so we can do x + (-3) = -5 . From there just add 3 to each side, and you'll get -2 + (-3) = -5.

If you take one thing away from this, let it be the following:

The methods that I used do work, but something I'd suggest trying in the future is carrying over the same number to the other side of the equation.

If you're struggling on these problems, this might help.

The way this works is simple, lets say you have this equation:

x + 5 = 10

The best and most efficient way of solving this problem is by taking a number from one side, and moving it to the other side. It seems confusing at first, but isn't all that hard once you figure it out. So for this problem:

x + 5 = 10

   - 5   -5

Now you only have 'x' on the left side of the equation. This is the end goal. Once you get x on one side of the equation, the answer tends to be on the other side.

So:

x + 5 = 10

   - 5   -5

x + 0 = 5      <- this is what you want.

x = 5

Hope this helps, and hope you learned more from this then an hour and a half at school :P

Answer:

y=4

Step-by-step explanation:

A horizontal line has constant y values so it is of the form

y=

The point is (2,4) so the y value is 4

y=4

Answer:

C

Step-by-step explanation:

I am guessing that's it.

Answer:

A

Step-by-step explanation:

2m + 7

twice a number (m) increased by 7

or

7 more then twice a number (m)

Answer:

The answer is "(0,0)"

Step-by-step explanation:

In the given some information is missing that is point so, the correct answer to this question can be described as follows:

book Number = x  

overall Book weight = y  

Neither x nor y can be negative. We have to be positive values, then.  

Since x indicates the number of books, that must be a positive integer. It can not be a decimal number or fractional number.  

So the only viable solution from the given options is (0, 0).

Answer:

6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders

Step-by-s6 ounces.

Answer:

The final answer is [tex]\frac{8}{27}[/tex] .

Step-by-step explanation:

Solve the following equation:

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

-Simplify [tex]2^{2}[/tex] :

[tex](2^{2} \cdot 3^{-1} \cdot 4^{-1})^{-1} \over 2^{-3} \cdot 3^{4}[/tex]

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]3^{-1}[/tex] :

[tex](4 \times 3^{-1} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]4[/tex] and [tex]\frac{1}{3}[/tex] :

[tex](4 \times( \frac{1}{3}) \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]4^{-1}[/tex] :

[tex](\frac{4}{3} \times 4^{-1})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Multiply both [tex]\frac{4}{3}[/tex] and [tex]\frac{1}{4}[/tex] together:

[tex](\frac{4}{3} \times (\frac{1}{4}) )^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

-Simplify [tex]\frac{1}{3}^{-1}[/tex] :

[tex](\frac{1}{3})^{-1} \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

-Then, on the denominator,  simplify [tex]2^{-3}[/tex] :

[tex]3 \over 2^{-3} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

Simplify [tex]3^{4}[/tex] :

[tex]3 \over \frac{1}{8} \times 3^{4}[/tex]

[tex]3 \over \frac{1}{8} \times 81[/tex]

Multiply both [tex]\frac{1}{8}[/tex] and [tex]81[/tex] together:

[tex]3 \over \frac{1}{8} \times 81[/tex]

[tex]3 \over \frac{81}{8}[/tex]

Divide [tex]3[/tex] and [tex]\frac{81}{8}[/tex] by multiplying [tex]3[/tex] by the reciprocal of [tex]\frac{81}{8}[/tex] :

[tex]3 \over \frac{81}{8}[/tex]

[tex]3 \times (\frac{81}{8})[/tex]

-And you multiply [tex]3[/tex] and [tex]\frac{81}{8}[/tex] together:

[tex]3 \times (\frac{81}{8})[/tex]

[tex]\frac{8}{27}[/tex]

So, the final answer would be [tex]\frac{8}{27}[/tex] .

Answer:

B

Step-by-step explanation:

(5+7)/2 = 6

(4+2)/2 = 3

center = (6, 3)

diameter = √(5-7)²+(4-2)² = √8 = 2√2

radius is half diameter = √2

Equation for circle is (x-6)²+(y-3)²=2

Answer:

20 square units

Step-by-step explanation:

Given,

CD is the base and BD is the height of the given parallelogram.

The attachment of the parallelogram has been attached.

base = CD

length of base CD = 5 - 1 = 4

∴ base= 4 units

height = BD  

length of height BD = 5

∴ height = 5 units

Area of parallelogram = base × height

∴ Area = 4 × 5 = 20 square units

Answer:

20

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

sorry idk if that made sense or not

Answer:

4 unit cubes

Step-by-step explanation:

Answer:

Exact: 2sqrt(5)

Approximate: 4.472

Step-by-step explanation:

The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.

c^2 = a^2 + b^2

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

c = sqrt(20)

c = sqrt(4 * 5)

c = 2sqrt(5) = 4.472

Answer:

The answers are :

The first number : 6

The second number : 2

The third number : 2

Step-by-step explanation:

The value of the variable x, y, and z will be 6, 2, and 2.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Let the numbers be x, y, and z.

The sum of three numbers is 10.

x + y + z = 10   …1

The first number minus the second plus the third is 6.

x – y + z = 6   …2

The first minus the third is 2 more than the second.

x – y = z + 2   …3

Add equation 1 and 3, we have

x + x + z = 10 + z + 2

         2x = 12

           x = 6

Subtract equation 2 from 1, we have

2y = 4

  y = 2

Then the value of z will be

6 + 2 + z = 10

            z = 2

More about the linear system link is given below.

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Answer: f(n) = 4n + 97 (or 97 + 4n)

Step-by-step explanation:

Distribute 4 and (n-1)

f(n) = 93 + 4n - 4

Add 93 and 4

f(n) = 97 + 4n

Answer:

The answer is 93 & 4

Step-by-step explanation:

I got it right on khan. Btw I don't know if someone said this already bc I am sooo tired bc it's 1 am :(

Circumference = 2 pi r

R = 10

Pi = 3.14

Circumference = 2×3.14×10

=20×3.14 = 62.8 cm

_____________________________

Hey!!!

Radius(r)=10 cm

Circumference=?

Now,

Circumference=2 pi r

=2*3.14*10

=62.8 cm

So the answer is 62.8 cm

Hope it helps

Good luck on your assignment

______________________________

Answer:

length x width x 6 = 90

area of shaded face = 15

The area of the shaded region is 15 square cm.

The space occupied by a flat shape or the surface of an object is called area.

[tex]Area = lb[/tex]

Where,

l is the length of the rectangle.

b is the breadth of the rectangle.

A volume is simply defined as the amount of space occupied by any three-dimensional solid.

volume = length × breadth × height

According to the given question.

We have,

Height of the cuboid  = 6cm

Volume of the cuboid = 90 cubic cm.

⇒ length × breadth × height = 90

⇒ length × breadth × 6 = 90

⇒ length × breadth = [tex]\frac{90cm^{2} }{6cm}[/tex]

⇒ length × breadth = 15 square cm....(i)

Since, the area of shaded region = length × breadth

From (i)

Length × breadth = 15 square cm .

Hence, the area of the shaded region is 15 square cm.

Find out more information about volume and area here:

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Answer:

15

Step-by-step explanation:

f(x)=5x

g(x)=3x+3

(fog)(x)=f[g(x)]=f(3x+3)=5(3x+3)=15x+15

(fog)(0)=15(0)+15=15

Answer:

15

Step-by-step explanation:

First find g(0) =

g(0) = 3*0 +3

g(0) =3

Then put this into f(x)

f(g(0) ) = f(3) = 5*3 = 15

Answer:

C. Length = 15 yards; width = 9 yards

Step-by-step explanation:

When you multiply the length and width by two and add them together, this answer is the only one that results in 48.

Answer:

D) reflection across the origin

Step-by-step explanation:

Answer:

C. Divide both sides by 26

Step-by-step explanation:

A doesn't make sense, B doesn't make very much sense, and D doesn't really make any sense. so the only answer that makes sense is C.

Step-by-step explanation:

12 x 2 = 24 + x = 24x - 6 = 18x

Hope This Is Correct For You

Answer: 2/5

Step-by-step explanation:

10 + 4 + 6 +5 = 25

10/25  

simplify:  2/5

Answer:

C

Step-by-step explanation:

Answer:

C 135.

Step-by-step explanation:

For every 3 adults there are 5 children therefore by proportion if there are 225 children there are 225  * 3/5

= 45 * 3

= 135 adults.

Answer:

a arithmetic; -23

Step-by-step explanation:

this is not geometric sequence as we don't  see multiplication effect in the terms

let's see what is the difference in terms

-207- (-184)= -23

-230- (-207)= -23

-253- (-230)= -23

we can state it is an AP with common difference of  -23

option a. is correct

Answer:

x=10

Step-by-step explanation:

In order to solve this equation we must break it down. This question is going to require the Pythagorean theorem [tex]a^{2} +b^{2}=c^{2}[/tex]. To use this we need a right triangle which happens to be half of the triangle shown. Now we can plug in the numbers.

[tex]7^{2}+\frac{1}{2} x^{2} =\sqrt{74}^{2}[/tex]

[tex]49+\frac{1}{2} x^{2} =74[/tex]

[tex]\frac{1}{2} x^{2} =25[/tex]

[tex]\frac{1}{2} x=5[/tex]

[tex]x=10[/tex]

This ends in x equaling 10. I hope this helps you!