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koban [17]
2 years ago
15

24 feet in 10 seconds​

Mathematics
1 answer:
shtirl [24]2 years ago
6 0

Answer:Divide your speed in feet per minute by 60

Step-by-step explanation:

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Find the value if the following expression for the given value of variable. <br><br> 6t^2 for t = 3
maw [93]
This means it’s 6(3)^2. The PEMDAS process will help in this situation. Since exponents (E) come before multiplication (M), you would raise 3 to the 2nd power first. 3^2 is the same as 3 times 3, which equals 9. Now, you can multiple 6 by 9, which would result with 54. 54 is your answer!
4 0
3 years ago
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Partway through the season, a basketball coach promises his team that he will take them to a water park if they reach 1,000 poin
velikii [3]
From the given above, the point that still needs to be incurred by the group is calculated by subtracting 424 points from 1000. This as shown below,

       n = 1000 - 424  = 576

If we are to determine the number of points each game, we divide 576 by 9. That is,
         x = 576 / 9 = 64

<em>ANSWER: 64 points/ game</em>
7 0
3 years ago
(1-i)^2 find 4 th root​
sergiy2304 [10]

By de Moivre's theorem,

1 - i = \sqrt2\,e^{-i\pi/4} \implies (1-i)^2 = 2\,e^{-i\pi/2}

\implies \sqrt[4]{(1 - i)^2} = \sqrt[4]{2}\,e^{i(2\pi k-\pi/2)/4} = \sqrt[4]{2}\,e^{i(4k-1)\pi/8}

where k\in\{0,1,2,3\}. The fourth roots of (1-i)^2 are then

k = 0 \implies \sqrt[4]{2}\,e^{-i\pi/8}

k = 1 \implies \sqrt[4]{2}\,e^{i3\pi/8}

k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}

k = 3 \implies \sqrt[4]{2}\,e^{i11\pi/8}

or more simply

\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}

We can go on to put these in rectangular form. Recall

\cos^2(x) = \dfrac{1 + \cos(2x)}2

\sin^2(x) = \dfrac{1 - \cos(2x)}2

Then

\cos\left(-\dfrac\pi8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac{1 + \cos\left(\frac\pi4\right)}2} = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}

\sin\left(-\dfrac\pi8\right) = -\sin\left(\dfrac\pi8\right) = -\sqrt{\dfrac{1 - \cos\left(\frac\pi4\right)}2} = -\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}

\cos\left(\dfrac{3\pi}8\right) = \sin\left(\dfrac\pi8\right) = \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}

\sin\left(\dfrac{3\pi}8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}

and the roots are equivalently

\boxed{\pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} - i\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right) \text{ and } \pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} + i \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right)}

7 0
2 years ago
What is the factored form of the following expression? <br><br> W^2 + 18w + 77
Lorico [155]

Answer:

(w + 11)(w + 7)

Step-by-step explanation:

Consider the factors of the constant term ( + 77) which sum to give the coefficient of the w- term ( + 18)

The factors are + 11 and + 7, since

11 × 7 = 77 and + 11 + 7 = + 18

w² + 18w + 77 = (w + 11)(w + 7)

3 0
4 years ago
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The area of the following composite figure is 74 square inches. What is the value of b
oee [108]
It is the last choice, 12
seven times two is 14
74-14=60
60/5=12
Hope this helps!!
5 0
3 years ago
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