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shtirl [24]
3 years ago
15

A ball is thrown directly up in the air from a height of 5 feet with an initial velocity of 60 ft/s. Ignoring air resistance, ho

w long until the ball hits the ground? Use the formula where h is the height of the ball in feet and t is the time in seconds since it is thrown. Round your answer to the nearest tenth.

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

3.8 seconds

Step-by-step explanation:

Given equation

h= -16t^2 + 60t + 5

When the ball hits the ground then height is 0

So we replace h with 0 and solve for t

0= -16t^2 + 60t + 5

a= -16 , b= 60 and c= 5

Apply quadratic formula to solve for t

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

=\frac{-60+\sqrt{60^2-4\left(-16\right)\cdot \:5}}{2\left(-16\right)}[/tex[tex]=\frac{-60+-\sqrt{3920}}{-32}

=\frac{-60+-28\sqrt{5}}{-32}

=\frac{4(-15+-7\sqrt{5})}{-32}

=\frac{(-15+-7\sqrt{5})}{-8}

Now make two fractions and solve for x

t= -\frac{7\sqrt{5}-15}{8}=-0.0815

t= \frac{7\sqrt{5}+15}{8}=3.83

So answer is 3.8 seconds


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A wallet contains five $10 bills, three $5 bills, six $1 bills, and no larger denominations. If bills are randomly selected one-
Black_prince [1.1K]

Answer:

\frac{4}{21}

Step-by-step explanation:

Another way of phrasing this question is this; if only two bills are selected without replacement, what is the probability that at one of the two bills will be a $10 bill:

P(One $10 bill) = P(picking a $10 bill first then another type) + (picking another

                            type then a $10 bill)

                        = \frac{5}{15}*\frac{10}{14}+\frac{10}{15} *\frac{5}{14} = \frac{4}{21}

6 0
3 years ago
Intr-o clasa snt 35 de elevi .nr fete este egal cu 75 la suta din nr baietilor .aflati nr baietilor
Zanzabum

Salut!

b=baiat

f=fata

In clasa sunt 35 elevi.

75/100 x b=f

3b/4=f

3b=4f

b+f=35

3b+3f=105

7f=105

f=15

b=35-15

b=20

Succes!

5 0
3 years ago
A hot-air balloon is traveling at an altitude of 3,000 feet. It begins to descend at a rate of 80 feet per minute. Which equatio
german

Equation can be used to represent the altitude of the balloon, b, based on time, t be 3000-80x

<h3>What is equation?</h3>

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon is traveling at an altitude of 3,000 feet.

It begins to descend at a rate of 80 feet per minute.

let x be the time in minutes.

let y be the altitude in feet.

Hence, equation will be = 3000-80x

Learn more about his concept here:

brainly.com/question/9181422

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7 0
2 years ago
Describing How to Create a System of Equations
Rama09 [41]

Answer:This seems easy! do u want help on how to do the answer or r u just looking for the answer????/

Step-by-step explanation:

3 0
3 years ago
Carlota wrote the equation y + 1 = 2 (x - 3) for the line passing through the points (-1, 3) and (2, 9). Explain and correct her
Art [367]

For this case we have the following equation:


y + 1 = 2 (x - 3)

That can be rewritten in the form y = mx + b

Where:


  • m is the slope of the line
  • b is the cut point

So, we have:


y + 1 = 2 (x - 3)\\y + 1 = 2x-6\\y = 2x-6-1\\y = 2x-7

Where:


m = 2 is the slope


b = -7 is the cut point


Carlota has the following points:


(-1, 3) and (2, 9)


To know if the line y = 2x-7 passes through these points, we must replace them in the equation and the equality must be fulfilled. So:


Point (-1, 3):


Substituting:


3 = 2 (-1) -7\\3 = -2-7

3 = -9 It's false, equality is not met. The point (-1, 3) does not go through the line.


The equation written by Carlota is erroneous, the procedure to follow is:


Given(x1, y1) = (- 1, 3) and(x2, y2) = (2, 9), we find the slope:


m=\frac{(y2-y1)}{(x2-x1)}

m=\frac{(9-3)}{(2-(-1))}

m=\frac{6}{3}

m=2

We observe that the slope found by Carlota is the same. Let's see cut point "b". For this we substitute any of the points given in the equation:


y = 2x + b

Substituting (2,9) we have:


9 = 2 (2) + b\\9 = 4 + b\\b = 9-4\\b = 5

Thus, Carlota's error was at the cut-off point. The correct equation of the line that passes through the given points is y = 2x + 5

Answer:


The correct equation of the line that passes through the given points is y = 2x + 5

Carlota's mistake was at the cutoff point


5 0
3 years ago
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