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mr Goodwill [35]

1 year ago

10

The equation $y = -16t^2 + 80t$ describes the height (in feet) of a projectile launched from the ground at 80 feet per second. A

t what $t$ will the projectile reach 36 feet in height for the first time? Express your answer as a decimal rounded to the nearest tenth.

1 answer:

Salsk061 [2.6K]1 year ago

4 0

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A fair die is rolled 360 times. Find the probability that: a) less than50 results are a 6. B) between 55 and 65 results (inclusi

Karolina [17]

For this problem, you haven = 360p = 1/6q = 5/6 E[x] = np = 360*1/6 = 60SD[x] = √(npq) = √(360*1/6*5/6) = √(50) ≈ 7.07

8 0

1 year ago

Cody's new car cost $15,200. With a sales tax of 7%, determine the total price of the car.

Paul [167]

Answer:

$16,264

Step-by-step explanation:

.07(15200)=1064

1064+15200(original price)=16264

4 0

1 year ago

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The data set below represents the total number of touchdowns a quarterback threw each season for 10 seasons of play.

Leona [35]

Here are your measures of variability. The range is found by subtracting the highest and the lowest (29-5=24). To find the interquartile range, you will find the median of the lower half of the data and the median of the higher half of sta and subtract these 2 numbers. Here is your list. I have PUT PARENTHESES around the upper and lower quartiles: 5, 17, (18), 20, 20, 21, 23, (26), 28, 29. It is like finding the middle of the entire set of data and then finding the middle of each half. Subtract 26 and 18 to find the interquartile range of 8 touchdowns.

5 0

1 year ago

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Which expression is equivalent to the following complex fraction?

bulgar [2K]

Solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

So, Option A is correct answer.

Step-by-step explanation:

We need to solve the complex fraction: StartFraction negative 2 Over x EndFraction + StartFraction 5 Over y EndFraction divided by StartFraction 3 Over y EndFraction minus StartFraction 2 Over x EndFraction

Writing in mathematical form:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$

Solving the fraction:

$(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})\\Taking\,\,LCM\\=(\frac{-2y+5x}{xy})\div (\frac{3x-2y}{yx})\\Converting\,\,\div \,\,into\,\,multiplication\\=(\frac{-2y+5x}{xy})\times (\frac{yx}{3x-2y})\\Canceling\,\,like\,\,terms:\\=(\frac{-2y+5x}{3x-2y})$

So, solving the fraction $(\frac{-2}{x}+\frac{5}{y})\div (\frac{3}{y}-\frac{2}{x})$ we get $=(\frac{-2y+5x}{3x-2y})$

In words the answer will be: StartFraction negative 2 y + 5 x Over 3 x minus 2 y EndFraction

So, Option A is correct answer.

Keywords: Fractions

Learn more about fractions at:

#learnwithBrainly

7 0

1 year ago

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Suppose that a system of linear equations has 3×5 augmented matrix whose 5th column is a pivot column. Is the system consistent?

Anon25 [30]

No, the system is inconsistent.

Step-by-step explanation:

If the last column is a pivot column, then that row gives an equation that looks something like 0x+0y+0z=1 , meaning , 0=1. Clearly, this is false.

So, the system of linear equations is inconsistent.

7 0

2 years ago