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

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the same as 7/3

Answers

Answer:

3.5/1.5 or 14/6

Step-by-step explanation:

equivalent

14/6 is also the same as 7/3

John runs 6.5 miles in 30 minutes. If he continues at this rate for 1 hours, determine his rate of change .

Answers

Answer: 13 miles

Step-by-step explanation:

30 min plue 30 min is 1 hour

if he runs 6.5 in 30 you just have to add 6.5 and 6.5 which equals 13

Find m ∠ B if mAB = 120° and m ∠ A= 42º.


A)78°
B)80
C)18
D)156

Answers

Answer:

∠B = 78°

Step-by-step explanation:

∠C = 1/2 arc AB = 1/2(120°) = 60°   because it is an inscribed angle

∠B = 180° - 42° - 60° = 78°

The measure of  ∠ B is  78°.

What is inscribed angle?

An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

What is inscribed angle theorem?

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

According to the question

m ∠ A= 42º.

mAB = 120°

By  inscribed angle theorem :

mAB = 2 m∠C

120° = 2 m∠C

m∠C = 60°

now,

according to the sum of angle of triangle

m ∠ B + m∠C + m ∠ A = 180°    

m ∠ B +60° + 42º= 180°  

m ∠ B = 78°

Hence, the measure of  ∠ B is  78°.

To know more about inscribed angle theorem here:

https://brainly.com/question/5436956

#SPJ2

The school swim team has 12 freshmen, 10 sophomores, 15 juniors and 5 seniors. The team is headed by 4 coaches

Answers

Answer:

simplified its 5:4 for juniors to freshmen's

Step-by-step explanation:

Answer:

5 : 4

Step-by-step explanation:

Ratio of juniors to freshmen = 15 : 12

15 = 3 * 5

12 = 3 * 4

GCF = 3

15 : 12 = 15÷3 : 12÷ 3

         = 5 : 4

algebraic expression 5a² - 25b²​

Answers

Answer: = 5 (a-5b)(a+b)

Step-by-step explanation:

= 5a² - 25b²​

= 5 (a²-5b²)

= 5 (a-5b)(a+b)

what is 1 1/4 divided by 1 2/5 for kahn academy ?

Answers

Answer:

25/28

Step-by-step explanation:

5/4 x 5/7 = 25/28

Answer:

25/28

Step-by-step explanation:

Which of the following is a solution for the equation x /6 = 7? A. x = 1 B. x = 6 C. x = 7 6 D. x = 42

Answers

Answer:

x = 42

Step-by-step explanation:

[tex]\frac{x}{6} = 7[/tex]

Multiply both side of the equation by 6.

[tex]6(\frac{x}{6} ) = 7 * 6[/tex]

∴ x = 42

So, the answer is D.

Hope this helps

What is the solution to the system of equations? 5x+3y=18 2x−3y=10

Answers

y + x = 7 that’s the answer. Hope this helps

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

SOMEONE ANSWER FASTT!!
*create an equation for this situation. Use the equation to solve the problem. (Algebra)


Some Girl Guides are raising money for their jamboree. Their goal is to raise $1000, They already have $232 from the bake sales. To raise the remainder, they are planning a walk-a-thon. if each person walking raises $24, how many walkers will the Girl Guides need to reach their goal?

Answers

I believe they need 32 walkers.
[correct me if I’m wrong]
why: if their goal is $1000 and they already have $232 you can subtract $232 from $1000 which would leave you with the rest of the money they need: $768. By dividing $768 by $24 (the amount of money they will raise for each person) you’ll end up with 32, being the number of walkers you’ll need because 32x24= $768, the remainder they need.

PLEASE NEED HELP ASAP​

Answers

You can download answer here

tinyurl.com/wpazsebu

Answer:

288mm^2

Step-by-step explanation:

Formula: A=2(wl+hl+hw)

Answer: 2·(14·6+3·6+3·14)

2 • (84 + 3•6 + 3•14)

2 • (84 + 18 + 3•14)

2 • (84 + 18 + 42)

2 • 144 =

288mm^2

Press answer 2 on the question of the image you inserted

For a snack, mrs graham gives her student graham crackers. She has a package of 20 graham crackers to share equally to 8 students. How many graham crackers does each student receive

Answers

Answer:

2.5

Step-by-step explanation:

graham crackers  each student receive = total number of crackers / total number of students

20 / 8 = 2.5

Help please

Find the value of x when y=0. x + 4 = y

Answers

Answer: x = -4

Step-by-step explanation:

-4 + 4 = 0

if  y = 0 then X will be -4

Answer:

hello

Step-by-step explanation:

answer is x=-4

because if we add

4-4=0

x+4=0

-4+4=0

find a line that is parallel to y=-2x+7 and passes through a point of (1,-1)

Answers

Answer:

y=-2x +1

Step-by-step explanation:

hope this helps

A painter can paint 120 square feet with 4 gallons of paint. Which statement about the unit rate is true?

Answers

Answer:

30 (ft^2/gal)

Step-by-step explanation:

The "unit rate" in this problem is (number of square feet covered) / (1 gallon paint).

Here we have the unit rate

120 ft^2

---------------- = (30 ft^2)/gal or 30 (ft^2/gal)

 4 gallons

The 2000 population of a city was 705,000 and was increasing at the rate of 1.51% each year. At that rate, when will the population be 1 million

Answers

Answer:

The population would be 1 million in 2024.

Step-by-step explanation:

In order to find the answer you can use the population growth formula:

A= P*e^rt

A=Population after time=1,000,000

P= Starting population=705,000

e= Euler number that is equal to 2.718

r= rate of growth=0.0151

t= time

Now, you can replace the values on the formula and solve for t:

1,000,000 = 705,000*e^0.0151t

1,000,000/705,000 = e^0.0151t

ln(1,000/705) = ln(e^0.0151t)

ln(1000/705) = 0.0151t

t = [ln(1000/705)]/0.0151

t = 23.14 years

According to this, the answer is that the population would be 1 million in 2024.

Find the volume of the cube. *
Answer choices: 30 1/2, 33 3/4, 31 1/4, 32 1/3

Answers

Answer:

volume = wide x length x deep

            = 3{1/3} ft x 2{1/2} ft x 3{3/4}ft

             = 10/3ft  x 5/2ft    x 15/4ft

             = (10 x 5 x 15)/(3 x 2 x 4) ft^3

              = 125/4 ft^3

               = 31{1/4} ft^3

Step-by-step explanation:

150p + 200 + 10p= 1200 SHOW ALL STEPS

Answers

150+10=160

160p+200=1200

-200 -200

160p= 1000

1000/160= 6.25

What is parallel to what?

Answers

Answer:

LS is parallel to MN

Step-by-step explanation:

LS and MN are the only lines to have the parallel symbol (the 2 arrows)

Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?

Answers

Answer:

We can assume that the number of 3-pointers he made in his last game was 10 3-pointers

Step-by-step explanation:

In the question, we have;

The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts

The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts

The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts

Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;

x = 43.5% of 25

[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]

Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game

The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

It is given that the four players from the NBA and their career 3-point percentages are listed below in the table

It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.

What is percentage?

It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.

We have in the question that:

The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.

We know that,

[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]

3 - point percentage for Stephen Curry = 43.5%

Number of 3-pointers he attempts = 25

Putting these values in the above formula, we get:

[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]

But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.

Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.

Learn more about three pointer here:

https://brainly.com/question/519034

Someone please help!!

Answers

To find the area of a triangle, you multiply the base times the height and multiply it by 2.
In order to find the height, you need to do this in reverse.
1.multiply 24x2
2. Find possible multiples.
3. 4x12=48, 12(the base) is three times four, and 48/2 is 24.
Answer: the height of the triangle is 4
Answer : 4
omg why it gotta be 20 characters

LMN is a right triangle 39 36 15

Answers

A. True
Yes LMN is a right triangle because it’s in a 90 degree angle

A bakery used 37% more chocolate chips this month than last month. If the bakery used 320 pounds of chocolate chips last month, how much did it use this month?

Answers

Answer: 438.4

Explanation: 320 x 37% = 320 x 0.37 = 118.4 so 320 + 118.4 = 438.4

Answer:

438.4

Step-by-step explanation:

100% + 37% = 137% = 1.37

320 x 1.37 = 438.4

so the answer that I got is 438.4

I really hope this helps

Expand and simplify
2(m - 3) + 3(m + 4)

Answers

Answer:

5m+6

Step-by-step explanation:

Hello There!

We can simplify the given expression using distributive property

We can distribute the 2 to the m and - 3

2 * m = 2m

2 * -3 = -6

Now lets distribute the 3 to the m and the 4

3 * m = 3m

3 * 4 = 12

we´re left with

2m - 6 + 3m +12

our final step would be to combine like terms

2m + 3m = 5m

-6 + 12 = 6

so the simplified version would be

5m+6

will give brainliest

Answers

Answer:

whats (2x)x(76) x is 50 btw im new

Step-by-step explanation:

I -9I = ____
HELP HELP ME ME ASAP PLEASE

Answers

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates units of the hypotenuse of this triangle

Answers

Given:

The vertices of a right triangle are:

[tex](-3,4),(3,4),(3,-4)[/tex]

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are [tex]A(-3,4),B(3,4),C(3,-4)[/tex].

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using distance formula, we get

[tex]AB=\sqrt{(3-(-3))^2+(4-4)^2}[/tex]

[tex]AB=\sqrt{(3+3)^2+(0)^2}[/tex]

[tex]AB=\sqrt{(6)^2+0}[/tex]

[tex]AB=\sqrt{36}[/tex]

[tex]AB=6[/tex]

Similarly,

[tex]BC=\sqrt{(3-3)^2+(-4-4)^2}[/tex]

[tex]BC=\sqrt{(0)^2+(-8)^2}[/tex]

[tex]BC=\sqrt{64}[/tex]

[tex]BC=8[/tex]

And,

[tex]AC=\sqrt{(3-(-3))^2+(-4-4)^2}[/tex]

[tex]AC=\sqrt{(6)^2+(-8)^2}[/tex]

[tex]AC=\sqrt{36+64}[/tex]

[tex]AC=\sqrt{100}[/tex]

[tex]AC=10[/tex]

Now, taking sum of squares of two smaller sides, we get

[tex]AB^2+BC^2=6^2+8^2[/tex]

[tex]AB^2+BC^2=36+64[/tex]

[tex]AB^2+BC^2=100[/tex]

[tex]AB^2+BC^2=AC^2[/tex]

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

Urgent!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $44,376. The variable costs will be $8.25 per book. The publisher will sell the finished product to bookstores at a price of 19 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Answers

Answer:

4,128 books

Step-by-step explanation:

Let

x = number of books

Fixed cost = $44,376

Variable cost = $8.25 per book

Total cost = fixed cost + variable cost

Total cost = 44,376 + 8.25x

Selling price of book = $19 per book

Total revenue = 19x

How many books must the publisher produce and sell so that the production costs will equal the money from sales?

Total cost = Total revenue

44,376 + 8.25x = 19x

44,376 = 19x - 8.25x

44,376 = 10.75x

x =44,376/10.75

x = 4,128 books

The publisher must produce and sell 4,128 books so that the production costs will equal the money from sales

I need help fast thank you

Answers

Answer:

RO = 39.5

Step-by-step explanation:

RO/9 = 57/13

13RO = 513

RO = 513/13

RO = 39.46

Answer:

39.5

Step-by-step explanation:

[tex]\frac{KN}{NM} =\frac{RO}{RQ} \\\\\frac{9}{13} =\frac{x}{57} \\\\13x=513\\x=39.5[/tex]

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