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3 years ago

Factor the expression 100w^2x^2-64y^2z^2

1 answer:

6 0

Notice that this is the difference of 2 squares

a^2 - b^2 = (a + b)(a - b)

Here we have a^2 = 100w^2x^2 and b^2 = 64y^2z^2

so a = 10wx and b = 8yz and the factors are

(10wx + 8yz)(10wx - 8yz)

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½(4k + 3r) ÷ 3^1 k = 9 r = 6 show work

vampirchik [111]

Answer:

The solution is given below:

Step-by-step explanation:

$\\ \frac{1}{2} (4k + 3r) \div {3}^{1}$

As we know the value of k and r so the equation will be

$\\ \frac{1}{2} (4 \times 9 + 3 \times 6) \div {3}^{1}$

$\\ = \frac{1}{2} (36 + 18) \div 3$

$\\ = \frac{1}{2} \times 54 \div 3$

$\\ = \frac{1}{2} \times 18$

$\\ = 9$

3 0

3 years ago

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Savannah measure's the temperature of a liquid to be 24 Celsius. Convert to Fahrenheit

jek_recluse [69]

Answer:

The temperature of Savannah's liquid to the nearest degree Fahrenheit is 75.2.

Step-by-step explanation:

The general formula to convert celsius into fahrenheit is

F=(C*9/5)+32

F= 24 *9/5 +32

F= 24*1.8 +32

F= 43.2 +32

F= 75.2

Therefore, The temperature of Savannah's liquid to the nearest degree Fahrenheit is 75.2

5 0

3 years ago

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so uh i have a question about STEAM the app ik this is a math website but uh my question is lets say your playing roblox or mine

yawa3891 [41]

Answer:

Step-by-step explanation:

First off, steam isn't a math website.

On discord, it doesn't show steam specifically, but if you're playing a game THROUGH steam then yes, it will show.

To hide this, go to options -> game activity -> and disable "Display currently running game as a status message" on discord.

If you want to hide your status on steam, just put your status to invisible :)

5 0

4 years ago

Read 2 more answers

20 - (3 2/3 + 2 1/4 + 2 1/3) = ?

Alex777 [14]

Answer:

20-5 11/12= 9 11/12

Step-by-step explanation:

we do (3 2/3 + 2 1/4+ 2 1/3 )which is

3 8/12. 2 3/12 2 4/12 (common denominator)

then add 3 8/12 and 2 3/12 and 2 1/3 to get 10 1/12 then we get 20- 10 1/12 to get a final answer of 9 11/12

5 0

3 years ago

During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equa

Aleonysh [2.5K]

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

7 0

2 years ago

Read 2 more answers