A rock is thrown from the top of a tall building. The distance, in feet, between the rock in the ground T seconds after it is thrown it is given by d=-16t-4t+462. How long after the rock is thrown is 450 feet from the ground

Answers

Answer 1

Answer:

0.75 seconds

Step-by-step explanation:

We simply set the distance d to 450 feet

Thus, we have

450 = -16t^2 - 4t + 462

= 16t^2 + 4t - 462 + 450

0 = 16t^2 + 4t - 12

divide through by 4

4t^2 + t - 3 = 0

4t^2 + 4t - 3t - 3 = 0

4t(t + 1) -3( t + 1) = 0

(4t-3)(t + 1) = 0

t + 1 = 0 or 4t-3 = 0

t = -1 or 3/4

t = -1 or 0.75

Since time cannot be negative , we have 0.75 as our only answer

Thus, it will take the rock 0.75 seconds to reach a distance of 450 feet after it is thrown from the ground


Related Questions

THIS IS FOR LOTS OF POINTS
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store. What is the price per inch of a plant? Show your calculation.

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

inch.inches = 9.5inches =

25.82367737inchs

2.28 = 25.82367737inchs

inch=25.82367737inchs

Answer:

$.24 or 24 cents per inch

Step-by-step explanation:

9.5x = 2.28 <--- equation

9.5x/9.5 = 2.28/9.5 <---- divide both sides by 9.5

.24=x <---- final answer

Which graph shows the solution to the system of inequalities?
y <= x + 2
y > 2x – 3

Answers

Answer:

b

Step-by-step explanation:

6

Some doctors recommend that men drink 3 liters of water every day. There are approximately 236.6 milliliters in 1 cup. Which measurement is closest to the number of cups in 3 liters?

Answers

Answer:

Thats a lot of water!

write 6.1 as a mixed number and as an improper fraction. Do not try to simplify your answer

Answers

Answer:

6 1/10 mixed 61/10 improper

Step-by-step explanation:

whoever answers this correctly gets brainliest.

Answers

Answer:

it would be 140 .        40+3+140=180

Step-by-step explanation:

order from least to greatest

3-4-140

I need help will mark BRAINLIEST if right!!!!!!!!

Answers

Answer:

Line EH

it says I have to

Answer:

EH

Step-by-step explanation:

TRUST ME

Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *

Answers

Answer:

No they are not equivalent,

Step-by-step explanation:

3 x 6 is 18 and 5 x 6 is 30,  not 32 so it is non-equivalent

Determine the domain and the range for this relationship.

Drag the tiles to the correct locations on the image. Not all tiles will be used.

(Several can be placed in one section, but not all of them will be placed.)

A. 0 ≤ x ≤ 6
B. 0 ≤ x ≤ 72
C. {0, 12, 24, 36, 48, 60, 72}
D. {0, 1, 2, 3, 4, 5, 6}
E. {0, 1, 2, 3, 4, 5, 6}
F. 0 ≤ y ≤ 72
G.{0, 6, 12, 18, 24, 30}
H. 0 ≤ y ≤ 6

Answers

Answer:

how are we supposed to know the answer if we don't know the problem?

Step-by-step explanation:

It makes no sense

Consider the system of inequalities and its graph.

y ≥

y ≤ x – 3



On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 8, negative 2) and (0, 0). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (3, 0). Everything to the right of the line is shaded. The section in quadrant 1 is labeled 3, the section in quadrant 2 is labeled 2, the section in quadrant 3 is labeled 1, and the section in quadrant 4 is labeled 4.
In which section of the graph does the actual solution to the system lie?

1
2
3
4

Answers

Answer:

3

Step-by-step explanation:

the point answer to the darker shaded solution lies in area 3. Therefore the answer is 3.

HELP EASY 10 POINTS
If the circumference of a circle is 35 inches which is closest to the area

Answers

Answer:

about 97.48

Step-by-step explanation:

Answer:Well first we have the circumference of the circle 35 our first step is to divide it by pi to see what the radius is:

35/pi=11.1408460164

Now that we know what the radius of the circle we are going to square it and then multiply by pi to find what is the area of the circle:

11.1408460164²=124.118449961

124.118449961xpi=389.929610573 square inches

Now that we know what the area is of the circle we need to calculate which area is closest to the answer which happens to be A. 380 square inches.

Write an equation in point slope form using (-2,3) (0,-3) and has a slope of 0/-2

Answers

Answer:

y-3=-0/2(x+2)

Step-by-step explanation:

big brain

Question 5 Iker gave the cashier $50 to pay for 6 books. The cashier gave him $6.26 in change. Each book cost the same amount. What is the cost in dollars and cents for each book? Answer​

Answers

Answer: $ 7.29

Step-by-step explanation:

First you subtract 6.26 from 50

= 43.74

Then you divide 43.74 by 6

= 7.29

⚠️ PLEASE I WANNA FINISH

Answers

Answer:

m = 0.666667*​x+​1 is the answer

Step-by-step explanation:

Help will receive 20 points

Answers

Answer:

(4,1)-(5,-2)

(6,1)-(5,-4)

(7,3)-(7,-5)

(2,4)-(8,0)

(1,3)-(7,1)

Step-by-step explanation:

can someone help me with this

Answers

Answer:

The first one is 45 hours

The second is 1361

Answers
25.45
26.1361

What does Point P on the number line represent? (Use the hyphen for negative numbers,
such as -5)

Answers

P EQUALS NEGATIVE NINE(9)

In the figure below, D is the midpoint of AB, E is the midpoint of BC, and F is the midpoint of AC. Find the perimeter of triangle ABC.

Answers

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(( E )) is the midpoint of BC ,

Thus ;

[tex]BE = CE = 6[/tex]

So :

[tex]BC = 12[/tex]

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[tex] \frac{AC}{2} = DE \\ [/tex]

[tex] \frac{AC}{2} = 7.5 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AC}{2} = 2 \times 7.5 \\ [/tex]

[tex]AC = 15[/tex]

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[tex] \frac{AB}{2} = EF \\ [/tex]

[tex] \frac{AB}{2} = 8 \\ [/tex]

Multiply sides by 2

[tex]2 \times \frac{AB}{2} = 2 \times 8 \\ [/tex]

[tex]AB = 16[/tex]

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[tex]∆ABC \: \: Perimeter =

AB + BC + AC \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 16 + 12 + 15 \\ [/tex]

[tex]

∆ABC \: \: Perimeter = 43[/tex]

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Done...

The perimeter of triangle ABC is 43.

The calculation is as follows:

Since BE = CE = 6

So, BC = 12

Now

[tex]AC \div 2 = DE\\\\AC\div 2 = 7.5[/tex]

Now multiplied sides by 2

So,

[tex]2\times AC \div 2 = DE\\\\AC\div 2 = 7.5 \times 2[/tex]

AC = 15

Half of AB = EF

AB = 16

Now the perimeter is

= AB + BC + AC

= 16 + 12 + 15

= 43

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8а +а – 3 = 6а – 2а - 3

Answers

Answer:

a=0

Step-by-step explanation:

Answer: a=0

Step-by-step explanation:

8a+a−3=6a−2a−3

Step 1: Simplify both sides of the equation.

8a+a−3=6a−2a−3

8a+a+−3=6a+−2a+−3

(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)

9a+−3=4a+−3

9a−3=4a−3

Step 2: Subtract 4a from both sides.

9a−3−4a=4a−3−4a

5a−3=−3

Step 3: Add 3 to both sides.

5a−3+3=−3+3

5a=0

Step 4: Divide both sides by 5.

5a /5= 0/5

Answer: a=0

(hope that was helpful )

Which algebraic expression represents the phrase "seven more than half of a number"?

A. 7 - 1/2 x B. -7 + 1/2 x C. 1/2 x + 7 D. -1/2 x - 7

Answers

C. Think telll me if I’m wrong

Answer:

that answer is C you are correct

Step-by-step explanation:

please help asap! please

Answers

Answer:

1) given

2) reflexive

3) converse isosceles triangle thm

4) isosceles triangle thereom

5)CPCT

Step-by-step explanation:

tan y+cot y= sec y x csc y
prove the identity
(y is the variable)

Answers

Answer:

Step-by-step explanation:

tany+coty =

[tex]\frac{siny}{cosy} + \frac{cosy}{siny}[/tex]·

[tex]\frac{sin^{2}y + cos^{2}y }{cosysiny}[/tex]

[tex]\frac{1}{cosysiny}[/tex]

[tex](secy) (cscy)[/tex]

Which set of values could be the side lengths of a 30-60-90 triangle?


A. 6, 12, 12\sqrt{3}

B. 6, 12, 12\sqrt{2}

C. 6, 6\sqrt{3}, 12

D. 6, 6\sqrt{2}, 12

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbb

Step-by-step explanation:

Answer:

4,4 sq 3, 8 sq 2

Step-by-step explanation:

write an equation in point slope form to represent a line that passes through the points (-6,-14) and (12,16)

Answers

Answer:

y + 14 = 3/5(x + 6)

unit 1 test algebra 2

Answers

6) (-7,4) D or (4)

7) -7,0,5 A or (1)

8) 3x +5 C or (3)

9) 2 B or (2)

6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

We have,

6)

x² + 8x - 15 = 5x + 13

Rearranging the equation:

x² + 8x - 5x - 15 - 13 = 0

x² + 3x - 28 = 0

Now, factorize the quadratic equation:

(x + 7)(x - 4) = 0

Setting each factor equal to zero:

x + 7 = 0 or x - 4 = 0

Solving for x:

x = -7 or x = 4

7)

2x (x - 5) (x + 7) = 0

Setting each factor equal to zero:

2x = 0 or x - 5 = 0 or x + 7 = 0

Solving for x:

x = 0 or x = 5 or x = -7

8)

(x + 5) (x + 8 + 2x - 3)

Simplifying the expression inside the parentheses:

(x + 5) (3x + 5)

9)

x³ - 5x² + 2x + 13 = 5

Substitute each integer value from 0 to 10 into the equation and count the number of solutions.

Substituting each integer value,

x = 0,

x³ - 5x² + 2x + 13 = 5

0 - 0 + 0 + 13 = 5

13 = 5

Not true.

Similarly,

x = 2,

x³ - 5x² + 2x + 13 = 5

8 - 20 + 4 + 13 = 5

25 - 20 = 5

5 = 5

True.

x = 4,

x³ - 5x² + 2x + 13 = 5

64 - 80 + 8 + 13 = 5

85 - 80 = 5

5 = 5

True.

There are two integer solutions:

x = 2 and x = 4.

Therefore,

The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.

The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.

The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).

There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

A group of students was asked, "How many hours did you watch television last week?" Here are their responses: 9, 16, 11, 19, 4, 10, 15, 19

Answers

Answer:

So what's your Question.

I think The Mean ????

Step-by-step explanation:

So it is Add all the Values which is 103

Divide it by no. of Values which is 8

You'll get 12

Which is Mean !!!!

As a salesperson, during the week, you are paid $50 plus $5 per sale.
This week you want your pay to be more than $100. Write an inequality for
the number of sales you need to make. Use x as your variable. *

Answers

Answer:

50+5x=100

Step-by-step explanation:

50 dollars is what you start with

you earn 5 dollars per sale

x represents the number of sales you need

If you need to know what x is, the answer is 10

Hope this helps!

help me i will give the best answer branliest

Answers

Answer:

y=-3x+2000

Good luck!

Answer:

for the first question the fifth option

and 666 for the second question

Step-by-step explanation:

1
Which of the following represents a
fraction that converts to a repeating
decimal with a value less than one?
A) 1/2
B) 4/3
C) 9/10
D) 479

Answers

Answer:

479

Step-by-step explanation:

It’s D Have Ah Good Day

A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?

Answers

Answer:

m= 4/5

Step-by-step explanation:

use the formula (y2 - y1)/ (x2 - x1)

(-10, -3) (-5, 1)

1-( -3)/-5-( -10)= 4/5

At the end of a​ party, 3/4 cup of dip is left. Jim divides 4/7 of the leftover dip equally between 2 friends. How much dip does each friend​ get?

Answers

Answer:

First, we need to find the amount of dip that was divided amount the two friends.

We know that it is 4/7 of the left dip  

therefore:

amount divided among the two friends = (4/7) x (3/4) = 3/7 of the original amount of dip.

This amount is divided among two friends,

therefore:

amount that each friend gets = (3/7) / (2) = 3/14 = 0.2 of the amount of dip

tell me if this is completely wrong because i'm not good at this

Each friend will get 0.2 of the amount of dip.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a the end of a​ party, 3/4 cup of dip is left. Jim divides 4/7 of the leftover dip equally between 2 friends.

First, we need to find the amount of dip that was divided amount the two friends. We know that it is 4/7 of the left dip  

Amount divided among the two friends = (4/7) x (3/4) = 3/7 of the original amount of dip.

This amount is divided among two friends,

Amount that each friend gets = (3/7) / (2) = 3/14 = 0.2 of the amount of dip

Therefore, each friend will get 0.2 of the amount of dip.

To know more about an expression follow

https://brainly.com/question/23869986

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