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2 years ago

14

Will give brainliest please help ASAP

1 answer:

mihalych1998 [28]2 years ago

3 0

The answer is m^2/n so basically the second option.

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The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways

denis-greek [22]

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

$\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B$

Hope that helps!

8 0

3 years ago

Solve the inequality. −3y<−14

Artyom0805 [142]

Answer: y>14/3

Step-by-step explanation:

3 0

2 years ago

Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is

Step2247 [10]

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

5 0

3 years ago

Alex swims at an average speed of 45m/min. How far does he swim in 1 minute and 24 seconds?

aksik [14]

Answer:

63 m

Step-by-step explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

$=1 + \dfrac{\text{seconds}}{60}\\\\=1 + \dfrac{24}{60}\\\\=1.4\text{ minutes}$

Formula:

$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}}$

Putting values, we get.

$45 = \dfrac{\text{Distance}}{1.4}\\\\\text{Distance} = 45\times 1.4 = 63\text{ m}$

Thus, Alex swims for 63 m in 1 minute and 24 seconds.

6 0

3 years ago

(2y + 50)" (7x - 248)<br> (5y - 17) (x +44)°<br> Find the value of x and y.

Sveta_85 [38]

Answer:

x = 48

y = 21

Step-by-step explanation:

To find the value of x and y, using the definition of supplementary angles, create an equation to find x and y as follows:

Finding y:-

$(2y + 50) + (5y - 17) = 180$ (supplementary angles definition)

Solve for y

$2y + 50 + 5y - 17 = 180$

Collect like terms

$2y + 5y + 50 - 17 = 180$

$7y + 33 = 180$

$7y + 33 - 33 = 180 - 33$

$7y = 147$

$\frac{7y}{7} = \frac{147}{7}$

$y = 21$

Finding x:-

$(7x - 248) + (x + 44) = 180$ (supplementary angles definition)

Solve for x

$7x - 248 + x + 44 = 180$

Combine like terms

$8x - 204 = 180$

$8x - 204 + 204 = 180 + 204$

$8x = 384$

$\frac{8x}{8} = \frac{384}{8}$

$x = 48$

7 0

2 years ago