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kenny6666 [7]
2 years ago
7

Find the domain of the function. Express the exact answer using interval notation.

Mathematics
1 answer:
Naya [18.7K]2 years ago
8 0

Answer:

(-oo, -8/3) U (-8/3, oo)

Step-by-step explanation:

Hope this helps.

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Rachel drove 756 miles in 12 hours.<br> At the same rate, how many miles would she drive in 8 hours?
kvv77 [185]

Answer:

504 miles

Step-by-step explanation:

you would do 756÷12 which equals 63.... For every hour that you drive its 63 miles. Then you do 63×8 to get 504

4 0
3 years ago
If a boat uses 15 gallons of gas to travel 70 miles, how many miles can the boat travel on 60 gallons of gas?
astra-53 [7]

Answer:

280 miles

Step-by-step explanation:

First you multiply 15 x 4= 60 gallons. You then multiply 4 x 70=280 miles

Hope this helps!

7 0
3 years ago
Solve: In2x + In 2= 0
marusya05 [52]

Answer:

x = {1}{4}

Step-by-step explanation:

4 0
3 years ago
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 11 gallon of gas, to fill the go cart
RSB [31]

Answer:

This question is incomplete as no image was attached. Please find the missing image in the attachment. Also, this is the correct question:  

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inches^3. How many full gas cans will it take to fill the go cart's gas tank?

Answer: 2 full gas cans

Step-by-step explanation:

From the image, we have the following dimensions:

length, l = 15.4 inches (in)

width, w = 10 in

height, h = 3 in.

The volume of the gas tank (which is rectangular) is given as:

Volume = length * width  * height = lwh\\\\Volume = 15.4 * 10 * 3 = 462 cubic inches = 462in^{3}

NB: The unit of volume is cubic units. In this example, it is cubic inches.

The gas can being used to fill the tank holds 1 gallon of gas = 231in^{3}

The total volume to be filled is 462in^{3} of gas.

So, it will take  \frac{462in^{3} }{231in^{3} } = 2  full gas cans to fill the go cart's gas tank.

Therefore, the answer is 2.

6 0
3 years ago
Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.
Taya2010 [7]

Answer:

Segment DE is half the length of segment AC. -- Substitution property of equality

Step-by-step explanation:

Here is given a proof for proving line joining mid segment is parallel and half the length of third side.

Stepwise proof is given in two columns

We find that for every line there is a justification as

STatement                                        Justification

D and E coordinates found out       MId point formula

DE and BC are measured                Distance formula

DE=1/2 BC                                          Substitution property of equality

This justification was missing in the given proof and with this included proof would be complete

4 0
3 years ago
Read 2 more answers
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