The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30 ft/sec is modeled by

the equation h(t) = -16% - 30t + 124, where t is the time in seconds. For which interval of time does the rock remain in the air?

O

t = 2

-2
0
t> 2

Answers

Answer 1

Answer:

For the time interval 0 to 2 the ball is in the air.

Select the options according to this.

Step-by-step explanation:

The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]

Let's find the x intercepts to answer this question.

To find x intercept where the h(t) is 0.

[tex]-16t^{2} -30t+124=0[/tex]

Solve the equation for t.

Use quadratic formula to solve the equation.

a=-16

b=-30

c=124

[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]

Plug in the values of a, b and c into the formula

[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]

Simplify it

[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]

[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]

[tex]x=\frac{30+/-94}{-32}[/tex]

Simplify it to get two values for x

[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]

x can not be negative, here x represents time t.

So, it starts from 0 and remains in the air for 2 seconds.

Answer 2

Answer:

Yo itś C

Step-by-step explanation:

:-)


Related Questions

15.24 = 8.44 + 5x step by step pls :)

Answers

Answer:

19.334

Step-by-step explanation:

First I multiplied.

15.24 x 1.64 = 24.9936

Then I convert my answer to British pounds.

24.9936 = 19.334 British Pound Sterling

Answer:

1.36

Step-by-step explanation:

15.24 = 8.44 + 5x

subtract 8.44 from both sides

6.80 = 5x

divide both by 5

x = 1.36

Convert the numbers to standard from 7.23x10^-10

Answers

Step-by-step explanation:

ok this is search from Google this is right or wrong

Question:

Convert the numbers to standard from 7.23 × 10^(-10)

Answer:

7.23 billionths or 0.000000000723

Explanation:

First, convert the standard form of 10^(-10) to 1 ÷ 10^(10). Thus, the standard operation would be:

7.23 ÷ 10^10 or 7.23 ÷ 10,000,000,000

Hence, you could write it in a reciprocal of a billion, which is a billionth. You could write it in the form of 7.23 billionths or just write it 0.000000000723.

Hopefully this answer helps you.

what is 25 2/3 - 15 1/3 =

Answers

Answer:

10 1/3

Step-by-step explanation:

Convert mixed numbers into improper fractions (whole number × denominator + numerator)

25 2/3 and 15 1/3

25 × 3 + 2 = 75 + 2 = 77

Put the number over the same denominator

77/3

15 × 3 + 1 = 45 + 1 = 46

Put the number over the same denominator

46/3

77/3 - 46/3

They have common denominators so we can simply subtract the numerator values

77 - 46/3

31/3

To convert it back to a whole number, find how many times 3 fits into 31 evenly

It fits 10 times evenly with 1 remainding which looks like:

10 1/3

Mrs. Cook wants to give each of her 24 students the same amount of candy. If each package of candy has 36 pleces In
It, how many packages of candy should she buy so that there will be none left over?
4
3
5
2

Answers

Answer:

4

Step-by-step explanation:

Answer:

Hello, I wanted to write to you since it seems very bad of you that you steal the points of others, knowing that they DO HONESTLY EARN THEM, so ... why don't you try it? Look, in the end, it's you the one who learns

Step-by-step explanation:

Cheers;)

Jaden places potatoes with a mass of 0.55 kilograms on a grocer's scale. The spring is displaced by 1.2 centimeters. He then places some onions on the scale that displace the spring by 0.67 cm. What is the mass of the onions (1 kg=9.8 N)? 5.39 kg 3.01 kg 0.67 kg 0.31 kg

Answers

Answer:

.31 kg

Step-by-step explanation:

F=kx

F = the force of the spring

k = the spring constant

x = the spring displacement (stretch or compression)

we also know that 1 kg = 9.8 N which also means that 9.8(kg)=F

let's first find the force of the first problem, which is .55 kg. Using the formula 9.8(kg)=F we can do 9.8(.55)=F which would mean the force is 5.39 N

so 5.39=k(1.2 centimeters)

Now we need to convert centimeters to meters. This would make 1.2 into .012m. Now our problem is 5.39=k(.012)

divide 5.39 by .012 to get 449.17

our k is 449.17

Now for our problem, we are going to find the mass.  

Do this by putting what we already know into the problem.

F=449.17(.67 centimeters)

Now we already know we need to convert centimeters to meters which will make our formula F=449.17(.0067m)

This will result in F=3.01 but the problem is asking for mass, not force.

Use the formula 9.8(kg)=F

9.8(kg)=3.01

kg=.31

solution: .31 kg

y=7x−7z−9. Solve for x.

Answers

Answer:

x= < (y+9+7x)/7>

Step-by-step explanation:

first, add 9 to both sides of the equation. Then, subtract 7z on both sides and after that, divide by 7 for both sides.

Answer:

x=y+7z+9/7

Step-by-step explanation:

A daycare charges $195 per week for each child that attends. There are 51 children that attend each week.
What is the best estimate for the total amount of money the daycare receives each week?
A. $5,000
B. $7,000
C. $10,000
D. $15,000

Answers

Answer:

c

Step-by-step explanation:

195 x 51 =9945

estimated = 10,000

C

195 x 51= 9945

So the estimated number is 10,000

how is a dilation different from other transformations?

Answers

A dilation changes the size of something

8v-34= 6(v-4)
Solve for v

Answers

Answer:

v=5

Step-by-step explanation:

ix=5

3x+y

2x^{2}[/tex]


giving extra points cuz i need this questions to be answered ASAP please thanks :-)

Answers

Answer:

35

Step-by-step explanation:35

IF yall report 1 more time istg

Whats 2/3 x 1/5

Answers

Answer:

2/15

Step-by-step explanation:

2/3*1/5=2/15

Answer:

0.133

Step-by-step explanation:

HELP ME PLZ DUE SOON WILL GIVE BRAINLEST

What is the slope of the line that passes through the points (2, 1)(2,1) and (17, -17) ?(17,−17)?

Write your answer in simplest form.

Answers

Answer:

if I read it right and it is just asking for the slope then -1.2 should be the answer

4x 32 – 3 +5 x 2 = 0
A. 33
B. 43
c. 36
D. 58
E 34

Answers

Answer:

I think it is C

Step-by-step explanation:

Allen's miniature train travels at a rate of 20 meters in 2 minutes. At this rate, how far will the train travel in 10 minutes? *
5 points
10 meters
20 meters
100 meters
200 meters
Is the following equation proportional? y = 6x + 2 *
5 points
Yes
No
(sorry its two questions)

Answers

Answer:

100 meters  20/5=100

Not sure about the second one

hope this helps

Step-by-step explanation:

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss

Answers

X = mystery number

(X + 5) * -2 = 6

X+ 5 = -3
X = -8

Simplify: 3x - 8 - 12x + 3

Answers

Answer:

Answer is -9x + -5.

I'm 99% sure that's the answer.

Answer:

-9x-5

Step-by-step explanation:

Collect Like Terms

Franco read of a chapter of his history book in § of an hour. At this rate, how many chapters of his history book
can he read in 1 hour?

Answers

Answer:

1 7/8

Step-by-step explanation:

dont know lol but trust me

whats 3 Pounds for $3.99

Answers

Answer

Pounds are the currency in Europe. You would exchange 3 pounds for 3.99 American dollars

Step-by-step explanation:

A food store makes a 10-pound mixture of peanuts, cashews, and raisins. The mixture has twice as many peanuts as cashews. Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16. How much of each ingredient did the store use to make the mixture?


I know the equations are likely

X = Peanuts

Y = Cashews

Z = Raisins


X + 2Y + 2Z = 16

2Y = X

X + Y + Z = 10

Answers

Answer:

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

Step-by-step explanation:

The number pounds of the mixture = 10

Let the number of pounds peanuts = x

Let the number of pounds cashews = y

Let the number of pounds raisins be equal to z

Hence,

x + y + z = 10

The mixture has twice as many peanuts as cashews.

2y= x

= 2y + y + z = 10

= 3y + z = 10

z = 10 - 3y

Peanuts cost $1 per pound, cashews cost $2 per pound, and raisins cost $2 per pound. The total cost of the mixture is $16.

x × $1 + y × $2 × z × $2 = $16

x + 2y + 2z = 16......Equation 2

We Substitute.(2y = x), (z = 10 - 3y)

2y + 2y + 2(10 - 3y) = 16

4y + 20 - 6y = 16

20 - 16 = 6y - 4y

4 = 2y

y = 4/2

y = 2 pounds

z = 10 - 3y

z = 10 - 3(2)

z = 10 - 6

z = 4 pounds

2y= x

2(2) = x

x = 4 pounds

How much of each ingredient did the store use to make the mixture?

The number of pounds peanuts = x = 4 pounds

The number of pounds cashews = y = 2 pounds

The number of pounds raisins be equal to z = 4 pounds

It’s so easy I’m just dumb.
What is the slope of the line graphed below? (5,3) (-5,5)

Answers

Answer:

3

Step-by-step explanation:

but im not sure

Answer:

m = 4/5 (slope)

_____________________________

y = 4/5x - 1 (slope intercept)(y = mx + b)

- 4x + 5y = - 5 (standard form)(Ax + By = C)

y + 5 = 4/5(x + 5) (point slope)(y - y1 = m(x - x1))

Step-by-step explanation:

All you need to do is remember the equation for slope: m = y2-y1/x2-x1

Where your first point is (x1,y1), and your second point is (x2,y2), and m is slope(rate of change : change in y over change in x).

Your first point starts with the smallest x: (-5,-5), then your second point is the greater x: (5,3)

Then just substitute, and solve:

y2-y1/x2-x1 →

3-(-5)/5-(-5) = 3+5/5+5 = 8/10 = 4/5

Extra information:

point slope:

y-y1 = m(x-x1).

Where (x1,y1) is the first point, (x,y) is the second point, and m is the slope. (note: the second point does not have 2 as a subscript so it can be set to slope intercept(y = mx + b) as an equation. This is because you could be given one point, and a slope, and be told to find the other)

Then just plug the coordinates into the equation, and solve for the equation of this line.

Since we already know what the slope is, we can just solve for the general equation given one point:

y-y1 = m(x-x1)

y+5 = 4/5(x+5). (point slope)

y + 5 = 4/5x + 4

-5 -5

____________

y = 4/5x - 1

(slope intercept)

Given slope, another way to find the y intercept is to multiply the current x coordinate by the slope, and add it to the current y value.

given a point (5,3), and a slope of 4/5. The line will be y = slope × x + (y2 - (m × x2)),

y = 4/5 × x + (3 - (4/5 × 5))

y = 4/5x + (3 - 4)

y = 4/5x - 1

_________

What is the equation for this line?

Answers

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the line,  [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

x1 = 3 and y1 = 3

x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

The equation of the line is y = 2x - 3

1001
90
80
70
60
50
40
30
20
10
х
0
10 20 30 40 50 60
70 80 90 100

Answers

Answer:

1001

Step-by-step explanation:

Answer:

1001 (A)

Step-by-step explanation:

7. Write a 4 digit number that is divisible by 2, 3, and 6.

Answers

Answer:the answer is 9998.

Step-by-step explanation:

The largest 4 digit number divisible by 2 . The number should be divisible by 2 or multiple of it. So the largest 4 digit number is 9999 it is not divisible by 2 so the earlier number 9998 can be considered so as it is divisible by 2. It is the answer is 9998.

Answer:

1008 is the correct answer (i think)

Step-by-step explanation:

1008/2 is 504

1008/3 is 336

1008/6 is 168

hope this helps!

The function is f(x) is shown in this graph. Compare the slopes.

Answers

Answer:I believe the slope is less

Step-by-step explanation:

An ant has a mass of 0.005 gram. A small be has a mass of 0.05 gram. A grasshopper has a mass of 0.5 gram. How many ants would it take to equal the mass of 1 grasshopper.

Answers

Answer:

200 ants

Step-by-step explanation:

Im not really sure on this but i tried lbao

Vicky reads at a constant rate. She can read 5 pages in 9 minutes write a linear equation in variables that represents the number of pages vicky reads in any given time interval

Answers

Answer:

5x=9 and that is the answer

What is the distance between (2, 8) and (-7, 8)?

Answers

Answer:

9

Step-by-step explanation:

The distance between (2,8) and (-7,8) is 9

Answer:9

Step-by-step explanation:

Hii
So Anyother question about school..i mean for "school'
Whats 1+1.....also how are you

Answers

Answer:

1+1 is 2. I am doing great. you?

Step-by-step explanation:

also i need brainlyest PLZ!!!!!!

Answer:1+1 is 2

Step-by-step explanation:I am having a good day

Giving brainliest hehehehe

Answers

Answer:

A

Step-by-step explanation:

quotient is answer to division problem

Answer:  A.

Step-by-step explanation:

In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

I hope this helps plz tell me if its wrong so i can fix it.

A cookie contains 9 grams of fat. If you eat no fewer than 4 and no more than 7 cookies, how many grams of fat will you
consume?

compound inequality

Answers

Step-by-step explanation:

Since each cookie has 9 grams of fat, four cookies would contain 4*9 = 36 grams of fat.

Also nine cookies has 7*9 = 63 grams of fat.

So the number of grams consumed will be at least 36 and no more than 63.

The number of grams consumed will be; at least 36 and no more than 63.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We have been given that  cookie contains 9 grams of fat and eat no fewer than 4 and no more than 7 cookies, then;

Since each cookie has 9 grams of fat, four cookies would be;

4 x 9 = 36 grams of fat.

Also, the nine cookies have 7 x 9 = 63 grams of fat.

Therefore, the number of grams consumed will be; at least 36 and no more than 63.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

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