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Vladimir [108]
3 years ago
6

Which question can be represented by the equation? Times 1/8 equals three

Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

24

Step-by-step explanation:

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Giorgio offers the person who purchases an 8-ounce bottle of Allure two free gifts, chosen from the following: an umbrella, a 1-
polet [3.4K]

Answer:

P(T) = 1/20 = 0.05

The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05

Step-by-step explanation:

The probability of randomly selecting an umbrella and a shaving kit in that order.

P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)

P(U) = 1/5 (1 umbrella out of five possible gifts)

P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)

P(T) = 1/5 × 1/4

P(T) = 1/20 = 0.05

3 0
4 years ago
Please help math questions <br> put number with answers please
natita [175]

Answer:

See below for answers

Step-by-step explanation:

<u>Problem 1</u>

<u />\frac{1}{sin\theta}=2cos\theta\: ; \: 0\leq\theta < 2\pi\\\\1=2sin\theta cos\theta\\\\1=sin2\theta\\\\\frac{\pi}{2}+2\pi n=2\theta\\ \\\frac{\pi}{4}+\pi n=\theta\\ \\\theta=\bigr\{\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}\bigr\}

Therefore, the second option is correct.

<u>Problem 2</u>

<u />cos(2x)+1=sin(x)+2\:;\: 0\leq x < 2\pi\\\\1-2sin^2x+1=sin(x)+2\\\\-2sin^2x=sin(x)\\\\0=2sin^2x+sinx\\\\0=sinx(2sinx+1)

0=sinx\\\\x=\pi n\\\\x=0,\pi

0=2sinx+1\\\\-1=2sinx\\\\-\frac{1}{2}=sinx\\ \\x=\frac{7\pi}{6}+2\pi n,\frac{11\pi}{6}+2\pi n\\\\x=\frac{7\pi}{6},\frac{11\pi}{6}

Therefore, the solution set is x=\bigr\{0,\pi,\frac{7\pi}{6},\frac{11\pi}{6}\bigr\}, making the second option correct.

<u>Problem 3</u>

<u />2cos^2x=-cosx\: ;\: 0^\circ\leq x < 360^\circ\\\\2cos^2x+cosx=0\\\\cosx(2cosx+1)=0

cosx=0\\\\x=\frac{\pi}{2}+\pi n\\ \\x=90^\circ+180n^\circ\\\\x=90^\circ,270^\circ

2cosx+1=0\\\\2cosx=-1\\\\cosx=-\frac{1}{2}\\\\x=\frac{2\pi}{3}+2\pi n,\frac{4\pi}{3}+2\pi n\\ \\x=120^\circ+360n^\circ,240^\circ+360n^\circ\\\\x=120^\circ,240^\circ

Therefore, the solution set is x=\bigr\{90^\circ,120^\circ,240^\circ,270^\circ\bigr\}, making the fourth option correct

7 0
2 years ago
Need help for both questions! Please explain your work for both
bixtya [17]

Answer:

2:2255 3:43

Step-by-step explanation:

Use the measurements to determine the other numbers

3 0
2 years ago
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Jack is investing $3,000 into an account
marin [14]

Answer:

Step-by-step explanation:

I think this is the equation for annual compunt interest

FV = PV(1 + int)^time        PV is present value    FV is the future value

PV + Interest  =  FV

FV - PV = Interest

                           FV                   -      PV

Interest  = [3000(1 + 0.03)^30]   -   3000

              =    3000(1.03)^30    -   3000

              =    3000(2.4272)   -   3000

              =    7281.79   -   3000

              =    $4282     to the nearest dollar    <------------    Fianl Answer

5 0
3 years ago
Find the slope of the line that passes through the given points.
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Answer:

m = − 2

Step-by-step explanation:

Download pdf
3 0
3 years ago
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