A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always

Answers

Answer 1

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.


Related Questions

an airplane travels at 280 miles per hour. how far in miles will the airplane travel in 20 minutes?

Answers

Answer:

93.33 miles

Step-by-step explanation:

60 min/ 20 min = 3

280/3 = 93.333333

Answer:

93.3 miles

Step-by-step explanation:

Since there are 60 minutes in an hour and 20/60 = 1/3, you can divide 280 by 3 to get the amount of miles travelled in 20 minutes.

Elena is making chocolates. She starts by melting a block of chocolate

shaped like a rectangular prism. Then she pours the melted chocolate

into molds shaped like rectangular prisms. How many chocolates can

Elena make with the block of chocolate?

Answers

Answer:

well tell us any measurements or any numbers that follow along with this problem.

30% of what number is 7.5??

Answers

Answer:

x = 25

Step-by-step explanation:

the question can be given as x * .3 = 7.5, or rearanged into

7.5/0.3 = x

75/3 = x if you multiple the fraction by 10/10

x = 25 in this case

What is the mean of the data set?

Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20

Answers

Answer:

42

Step-by-step explanation:

Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416

then divide by total number of digits

(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)

41.6 rounded to 42

What is radiant energy from the sun called

Answers

All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays.

Answer:

Ultraviolent radient energy

A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus
$10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
a. Identify the slope and y-intercept from the information given.
Slope:
y-intercept:

Answers

Answer:

Slope: 10

Y-intercept= 30

Step-by-step explanation:

y= mx + b

m = slope

b = y-intercept

y= 10x + 30

Slope: 10

Y-intercept= 30

heyyyyyyyyyyyy helpppp

Answers

Answer:

its b

Step-by-step explanation:

Answer: the answer B sorry if its wrong

Step-by-step explanation: have a nice day buddy

I RLY NEED HELP LIKE RN

Answers

Answer:

B = (19)(14)

Step-by-step explanation:

Hi could can you please tell me the answer and tell me how you got it so I can understand this? Both 6 A and B

Answers

Answer:

you would do 16000 - 13920 and get 12080 and then dive 12080 by 16000 giving you .755 that would be how much is full and then subtract 1 and .755 to get B

50 POINTS! By using shadows, Tatiana wants to find the height of a building. At a certain time of day, her shadow is 2.4 feet long and the building’s shadow is 16 feet long. Her height is 5.8 feet. How tall is the building?

Answers

The building is 16 feet tall

My father invests $5000 in a new bank that has an annual
interest rate of 3.8%. Find the balance
after 10 years if it is compounded yearly. Round your answer to
the nearest whole dollar.
$

Answers

$6900

$5000+3.8%=$5190

$190x10=$1900

$5000+$1900=$6900

Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB

Answers

Answer:

Step-by-step explanation:

Slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in A(8,3) and B(4,8)

[tex]=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}[/tex]

Therefore, the slope of AB is [tex]-\frac{5}{4}[/tex].

I hope this helps!

please help asap!


A scatter plot is shown:

What type of association does the graph show between x and y? (4 points)

a. Linear positive association
b. Nonlinear positive association
c. Linear negative association
d. Nonlinear negative association

Answers

Answer:

A

Step-by-step explanation:

the dots form a line going upwards from the origin in a positive way (quadrant 1)

A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.

Answers

The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.

Sketch of the ship's motion

The sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.

                              <-------- 200 km-------

                               |

                               | 240 km

                              ↓

Displacement of the ship

The displacement of the ship from the initial position is calculated as follows;

d² = 200² + 240²

d² = 97,600

d = √97,600

d = 312.4 km

Direction of the displacement

tanθ = 240/200

tanθ = 1.2

θ = tan⁻¹(1.2)

θ = 50.2⁰

Learn more about displacement here: https://brainly.com/question/2109763

#SPJ2

Right answers will get brainliest!

Answers

Answer:

42 = C (y ≤ 2)

43 = G (-x + 4x - 2)

44 = B (Its axis of symmetry is x = 14)

45 = H (x = 2)

1. Find the present value of an investment that is worth $19,513.75 after

earning 3% simple interest for 5 & 1/2 (5.5) years.

2. Mr. Clopu buys an 18-month CD that pays 4 3/4% simple interest for $5,000. Find the value of the CD at the end of its term.

Answers

1) To get the present value, we need to get the amount after 5.5years

Amount = Principal + Interest

Interest = PRT/100

Interest = $19,513.75*3*5.5/100

Interest = 321,976.875/100

Interest =  $3219.76875

Amount = $19,513.75+$3219.76875

Amount = 22,733.51875

Hence the present value is $22,733.51875

2) Simple Interest = PRT/100

Simple Interest = 5000*(4 3/4)* 18/12*100

Simple interest = 5 * 19 * 18/4*12

Simple interest = 1710/48

Simple interest =35.625

Amount = 5000 + 35.625

Amount = $5035.625

Hence the present value is $5035.625

Mr. barrera has 2 bags of cat food. One bag has 20 ounces and the other has 3 1/2 times as much as the first bag. If Mr. Barrera uses 1/5 of the cat food from the larger bag to feed his cats, how many ounces of cat food did he use?

Answers

Answer: 14 oz

Step-by-step explanation: Trust me it’s right

The number of ounces of cat food that Mr. Barrera used is; 14 Ounces (Oz)

Number of bags with cat food = 2 bagsNumber of ounces in first bag = 20 Oz

Other bag has 3½ times as much as first bag. Thus;

Number of ounces in second bag = 3½ × 20 = 70 Oz

He uses 1/5 of the cat food from the larger bag.

Thus;

He used; 1/5 × 70 = 14 Oz of cat food

Read more about proportions at; https://brainly.com/question/1781657

Solve the following quadratic by using square root property. x2 + 16 = 0

A. X= 16 , x= -16


B x = 4, x= -4


C x= 4i , x= -4i

Answers

correct answer is C 16 will be neg under radical and gives an i

Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.

Answers

Answer: -1171875

Step-by-step explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.

Below is the graph of a trigonometric function. It intersects its midline at (8.7, 7.2), and it has a minimum
point at (6.2,3.8).

Answers

Answer: 3.4

Step-by-step explanation:

7.2 - 3.8

The minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

What is the trigonometry function?

Trigonometric functions are also known as Circular Functions can be simply defined as the functions of an angle of a triangle.

It means that the relationship between the angles and sides of a triangle are given by these trig functions.

Here given that,

In the trigonometry functions it intersects its midline at [tex](8.7, 7.2)[/tex], and it has a minimum point at [tex](6.2,3.8)[/tex].

So,

[tex]7.2 - 3.8=3.4[/tex]

So, the minimum point at [tex](6.2,3.8)[/tex] is [tex]3.4[/tex].

To know more about the trigonometric function

https://brainly.com/question/29199591

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please help asap - ill give brainiest

Answers

Answer:

this is your answer. look it once

What is the area of the parallelogram?

Answers

Area of a parallelogram: A=bh
A = 4(15)
A= 60 inch squared

Hope this helps :)


What is the meaning of the point with an x-coordinate of 2?

Answers

Answer:

A

Step-by-step explanation:

Because the x-coordinate is in seconds. Which eliminates answer B

Also, the Y-coordinate is measured in 40 meters per unit, this eliminates C and D.

Give the sum of 2m/y and m/y.​

Answers

Answer:

=2m/y+m/y

= 2m+m/y

=3m/y

Ben has a piece of plywood that measures 1 yard on each side.He cuts the wood into 6 equal pieces.Each piece is 1/3 yard wide and 1/2 yard long.What is the area of each piece that Ben cuts?

Answers

Answer:

The area is "[tex]\bold{\frac{1}{6}}[/tex]".

Step-by-step explanation:

In this question, to understand the problem we use the model, that  Begins with drawing squares from each side which is 1 yard, and divides these as defined throughout the problem. To fix the issue, using the given model, please find the attached file.

Calculating the area of the one-piece:

[tex]=\frac{1}{2} \times \frac{1}{3}\\\\=\frac{1}{2\times 3}\\\\=\frac{1}{6}\\\\[/tex]

Pls I need help and do not post that link thank you

Answers

Bottom right :):):):)

Answer:

4 the one

hope 5hid will you

WILL MARK BRAINLIEST IF GOTTEN RIGHT! DONT ANSWER IF U DONT KNOW!

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

(Someone Help Please)

Which equation is true when q = 1/2?
A. 10q − 1/2= 4 1/2
B. 15 1/2 − 8q= 3 3/4
C. 20q + q + 2 1/2=12 1/2
D. 25 1/2 + 6q - q = 28 1/2

Answers

Answer:irl

Step-by-step explanation:

Is 75 divisible by 3?

Answers

Answer: yes

Step-by-step explanation:

Yeah
The answer is 25

Martina owns 32 shares of a certain stock. Yesterday the value of each share went up by 8
dollars. What was the total change in value of her shares?

Answers

Answer:

wef

Step-by-step explanation:

wef

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