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allochka39001 [22]
3 years ago
6

Simplify the expression. [(11 - 4)^3]^2 ÷ (4 + 3)^5

Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer:

<h2>7</h2><h2>:)</h2><h2 />

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

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Given the function f(x) = 5x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Debora [2.8K]
f(x)=5x\\\frac{f(1)-f(0)}{1-0}\\\frac{5-0}{1}\\5\\\\\frac{f(3)-f(2)}{3-2}\\\frac{15-10}{1}\\5

A: 5; 5

B: 1; they are the same
3 0
3 years ago
Need help with both 18 and 19.
Tema [17]

18. Answer: D

<u>Step-by-step explanation:</u>

First, find the measure of the missing angle.

65° + 57° + x = 180°

      122° + x = 180°

                x = 58°

Next, match up the angles with the opposite sides:

65° ⇄ Swim

58° ⇄ Bike

57° ⇄ Run

Lastly, put them in order from least to greatest:

   57° < 58° < 65°

⇒ Run < Bike < Swim

The only multiple choice option that is correct is Bike > Run.

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19. Answer: 22.3°

<u>Step-by-step explanation:</u>

sin\theta = \dfrac{opposite}{hypotenuse}

sinD= \dfrac{EF}{DE}

sinD= \dfrac{19}{50}

D= sin^{-1}\bigg(\dfrac{19}{50}\bigg)

D = 22.3°

5 0
4 years ago
The lines shown below are parrel if the green line has a slope of -3/7 what is the slope of the red line
Fofino [41]

Answer:

-3/7

Step-by-step explanation:

If two lines are parallel, it is determined that both of their slopes are the same. In this case, they are and one slope is given so, the other is the same.

5 0
3 years ago
Read 2 more answers
Help on this too pls
kenny6666 [7]
<h3>$330</h3>

Step-by-step explanation:

Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.

So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.

20 hours:165 dollars or 20:165

20 x 2= 40 and 165x2=330

So if Monique worked 40 hours she would earn $330.

5 0
3 years ago
Read 2 more answers
Pauline mixed 0.32 liter of syrup with 12 times as much water to make orange squash.She split 1.28 liter of orange squash.Then s
cluponka [151]

Answer:

0.72 litres

Step-by-step explanation:

Litres of syrup = 0.32 litres

Litres of water = 12 times the amount of syrup = 12 * 0.32 = 3.84 litres

Litres of orange squash = litres of syrup + litres of water

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Amount of orange squash litres split = 1.28 litres

Amount of orange squash left = (4.16 - 1.28) = 2.88 litres

Splitting the amount of squash left equally into 4 :

2.88 litres / 4 = 0.72 litres

4 0
3 years ago
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