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Phantasy [73]
3 years ago
6

LAST ATTEMPT! MARKING AS BRAINLIEST!! ( simplifying radicals)

Mathematics
2 answers:
klasskru [66]3 years ago
5 0

\huge \bf༆ Answer ༄

Let's solve ~

\qquad \looparrowright \sf - 2 \sqrt{192 {k}^{4} }

\qquad \looparrowright \sf - 2 \sqrt{2 {}^{6} \times   3{k}^{4} }

\qquad \looparrowright \sf - 2 \times 2 {}^{3}  \times  {k}^{2}   \times \sqrt{3}

\qquad \looparrowright \sf  - 16 {k}^{2}  \sqrt{3}

Hence, the correct choice is D

givi [52]3 years ago
4 0
Square root of 192 can be simplified to
8 sqrt(3)
square root of k^4 can be simplified to
k^2
multiply that and the -2 to get:
-16k^2 sqrt(3)
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A(t)=934(1/2)t/30 for 20 years and 100 years
vichka [17]
\bf A(t)=934\left( \frac{1}{2} \right)^{\frac{t}{30}}\qquad \qquad \stackrel{t=20}{A(t)=934\left( \frac{1}{2} \right)^{\frac{20}{30}}\implies A(t)=934\left( \frac{1}{2} \right)^{\frac{2}{3}}}
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\stackrel{t=100}{A(t)=934\left( \frac{1}{2} \right)^{\frac{100}{30}}\implies A(t)=934\left( \frac{1}{2} \right)^{\frac{10}{3}}}

nothing to it, t = year, and  you can just plug that in your calculator.
3 0
3 years ago
Solving Inequalities Independent Practice
Gelneren [198K]

Answer:

X< 9

Step-by-step explanation:

1/3x-6<-3 is correct.

3 0
3 years ago
The base of a rectangular tank measures 10 ft by 20 ft. The tank is 16 ft tall, and its top is 10 ft below ground level. The tan
sashaice [31]

Answer:

Step-by-step explanation:

Given a rectangular tank with dimension (10ft by 20ft by 16ft)

Then the volume of the tank is

Volume =length × breadth ×height

Volume=10×20×16=3200ft³

V=3200ft³

Then,

∆F= weight density × volume

∆F= 62.4×3200

∆F= 199,680 lb

Then,

Let the 0-point on the x-axis be at the bottom of the tank, so the level of the water ranges from x = 0 to x = 16ft. (It would just as well to let 0 be ground level and let x range from x = −26ft to x − 0.) Then a slice of water at level x is raised (26− x)ft

Then ∆x=(26-x)ft

Work is given as

W= -∫F∆xdx. From 0 to 16

W= -∫199,680(26-x)dx From 0 to 16

W=-199,680∫26-x dx From 0 to 16

W=-199,680 (26x-x²/2). From 0 to 16

W=-199,680(26×16-0.5×16² -0-0)

W=-199,680(288)

W=-57,507,840J

The work done to empty the tank is 57,507,840J

8 0
4 years ago
Read 2 more answers
The area of four walls of a rectangular room is 96m2 and its height is 4m.
Delicious77 [7]

Answer:

<h2>The answer is 56 m</h2>

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

To find the area we must first find the length of the rectangle using it's area.

That's

Area = length × height

From the question

Area = 96 m²

height = 4 m

So we have

96 = 4l

Divide both sides by 4

length = 24 m

Now we have

Perimeter = 2(24) + 2(4)

= 48 + 8

We have the final answer as

<h3>56m</h3>

Hope this helps you

7 0
3 years ago
Bought a board game for $30. The board game is now worth $55. Calculate the percent change in the game's value.
Hatshy [7]
30 is the old value and 55 is the new value. In this case we have a positive change (increase) of 83.33333333 percent because the new value is greater than the old value. Using this tool you can find the percent increase for any value.
3 0
3 years ago
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