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cestrela7 [59]
3 years ago
13

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

e given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
Question - y=−16x2+213x+68
Mathematics
1 answer:
Verdich [7]3 years ago
8 0

The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+224x+121 y=−16x 2 +224x+121.

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Solve for t<br><br> 4/3 = t/7
Mumz [18]

Answer:

\frac{28}{3}=t

Step-by-step explanation:

\frac{4}{3}=\frac{t}{7}

Use cross products to simplify the equation. Multiply the denominator of the second fraction by the numerator of the first fraction, and the denominator of the first fraction by the numerator of the second,

(4)(7) = (3)(t)

Simplify,

28=3t

Inverse operations,

\frac{28}{3}=t

4 0
2 years ago
Triangle ptg has side lengths of 18 27 cm and 13 cm what type of triangle is it
diamong [38]
Angle PTG = arccos((18^2 + 13^2 - 27^2) / (2 x 18 x 13)) = arccos(-236 / 468) = arccos(-0.5043) = 120 degrees.

The triangle is an obtuse triangle (because one of the angles is greater than 90 degrees) and a scalene triangle (because all the sides are not equal).
6 0
3 years ago
Victoria's town voted on a new speed limit. Out of 56 votes, 42 were in favor of the new speed limit. What percentage of the vot
victus00 [196]

Answer:

75% of the votes were in favor.

Step-by-step explanation:

To find the percent(rate), we use the formula r=p/b

The question is "What percent(rate) of 56 is 42?"

So fill in the formula and it will show as r=42/56, which is the rate will be equal to 42 divided by 56.

Perform the calculations and the result will show 0.75

Convert the decimal to a percent by moving the decimal point two places to the right and you will have 75% as your answer.

5 0
3 years ago
The last one need the right answer please
Llana [10]

Answer:

Part 1) The unit rate is 16\frac{dollars}{ounce}

Part 2) The unit rate is \frac{1}{4}\frac{dollars}{ounce}

Part 3) The unit rate is \frac{1}{4}\frac{dollars}{ounce}

Part 4) The unit rate is 4\frac{dollars}{ounce}

see the attached figure

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{d2-d1}{n2-n1}

where

d ----> number of dollars (dependent variable or output value)

n ---> number of ounces (independent variable or input value)

Remember that the slope of the linear equation is the same that the unit rate

<u><em>Verify each case</em></u>

1) we have

d=16n

This is a proportional relationship between the variables d and n

The slope is

m=16\frac{dollars}{ounce}

therefore

The unit rate is 16\frac{dollars}{ounce}

2) we have

<em>First table</em>

take two points from the table

(4,1) and (16,4)

substitute in the formula of slope

m=\frac{d2-d1}{n2-n1}

m=\frac{4-1}{16-4}

m=\frac{3}{12}\frac{dollars}{ounce}

simplify

m=\frac{1}{4}\frac{dollars}{ounce}

therefore

The unit rate is \frac{1}{4}\frac{dollars}{ounce}

3) we have

n=4d

This is a proportional relationship between the variables d and n

isolate the variable d

d=\frac{1}{4}n

The slope is

m=\frac{1}{4}\frac{dollars}{ounce}

therefore

The unit rate is \frac{1}{4}\frac{dollars}{ounce}

4) we have

<em>Second table</em>

take two points from the table

(1,4) and (2,8)

substitute in the formula of slope

m=\frac{d2-d1}{n2-n1}

m=\frac{8-4}{2-1}

m=4\frac{dollars}{ounce}

therefore

The unit rate is 4\frac{dollars}{ounce}

5 0
3 years ago
Thkcfyicyjfxiyrxxxtuxx
Eddi Din [679]

Answer:

B

Step-by-step explanation:

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