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tester [92]
3 years ago
5

What is the volume of the volume of the following rectangular prism

Mathematics
1 answer:
Alborosie3 years ago
4 0
The answer is 2/3 or 0.66666...
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If f(x)=5x+a and f-1(10)=-1, find a
zhenek [66]

Answer:

15

Step-by-step explanation:

Given the function

f(x)=5x+a

and f^{-1} (10)=-1(f^{-1} \text{is the inverse function of f})

let f(x)=y

Substitute in f(x)

y=5x+a\\y-a=5x\\x=\frac{y-a}{5}

From the definition inverse function

if f(x)=y    ⇒   f^{-1} (y)=x

Substitute this in the above expression

f^{-1} (y)=\frac{y-a}{5}

Substitute y=10

⇒

f^{-1} (10)=\frac{10-a}{5}\\-1=\frac{10-a}{5}\\-5=10-a\\a=10+5\\a=15

Therefore a=15

4 0
3 years ago
There are ____ many rational numbers between any two given rational numbers ​
Rufina [12.5K]

Answer:

There are <u>infinite rational </u>numbers between two rational or two irrational number.

#answerwithquality #BAL

6 0
3 years ago
Read 2 more answers
I need help ASAP <br> Show your work: x - 8 = 12
choli [55]

Answer:

x = 20  

Step-by-step explanation:

x - 8 = 12                          Add 8 to both sides

x -8 + 8 = 12 + 8               Add -8 and 8; add 12 and 8

x = 20                      

6 0
3 years ago
Read 2 more answers
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
What is the constant rate of change between the two quantities
makkiz [27]

Answer: number of pages is going by 10. The number of minutes is multiplying 2 times.

Step-by-step explanation:

To find the COP use an in book resource or search it pretty simple

5 0
3 years ago
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