SR1-2
Paula is standing on a bridge that is 110 above the water below. She throws a
pebble over the edge of the bridge, and it hits the top of a 24 foot high bridge
guard. The quadratic equation that models the path of the pebble is:
p(t) = –16t2 + 48t + 110
such that t is the time in seconds and p is the height of the pebble.

Answers

Answer 1

The time it will take the pebble to reach the maximum height is 1.5secs

Given the quadratic equation that models the path of the pebble expressed as p(t) = –16t^2 + 48t + 110

We can calculate the time taken by the pebble to reach the maximum height.

At maximum height, the velocity of the pebble is zero i.e. p'(t) = 0

p'(t) = -32t + 48

0 = -32t + 48

32t = 48

t = 48/32

t = 1.5secs

Hence the time it will take the pebble to reach the maximum height is 1.5secs

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Related Questions

Find the unknown side (w) of the rectangular solid. Please help..

Answers

Answer:

W= 2

Step-by-step explanation:

please help.
with the steps.
just b, please ​

Answers

Answer:

  x² +3x -50 = 0

Step-by-step explanation:

The area expression you got in part (a) is ...

  A = (x +8)(x -5) = x² +3x -40

If the area is to be 10, then x must satisfy the equation ...

  10 = x² +3x -40

  x² +3x -50 = 0 . . . . . . subtract 10 and put in standard form

Does anyone know how to do this??

Answers

Answer:

  y > 11/2

Step-by-step explanation:

This is solved the same way a 3-step equation is solved.

Step 1: subtract the smaller variable term from both sides.

  4y -2y +3 > 2y -2y +14

  2y +3 > 14

Step 2: subtract the constant with the variable term.

  2y +3 -3 > 14 -3

  2y > 11

Step 3: divide by the coefficient of the variable.

  2y/2 > 11/2

  y > 11/2

_____

Additional comment

By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.

Answer:

that is the answer hope it helps

Step-by-step explanation:

And don't forget to copy the solution

love:from Paddington

Mr. Glenn is making 30 school supply baskets. notepads come in packs of 5. Erasers come in packs of 15 and markers come in packs of 3. what is the least number of each package she should buy to have 1 item in each basket and no supplies left over

Answers

He will need 6 packs of notepads, 2 packs of erasers, and 10 packs of markers.

30/5=6
30/15=2
30/3=10

Find three consecutive odd integers whose sum is 45

Answers

Answer:

13, 15, 17

Step-by-step explanation:

First divide 45/3=15

Then since 15 is odd, subract by 2 to get 13 and add 2 to get 17.

Finally add up 13+15+17 to get 45.

Suppose line g is the line with equation y=x. Given ​A(6​,-2​), ​B(​6,3​), and C(-2,-6), what are the coordinates of the vertices of A'B'C' for the reflection?
NEED ANSWER ASAP
Rg

Answers

Answer:

A'(-2, 6)B'(3, 6)C'(-6, -2)

Step-by-step explanation:

Reflection across the line y=x swaps the x and y coordinates:

  (x, y) ⇒ (y, x)

The image points are ...

  A(6, -2) ⇒ A'(-2, 6)

  B( 6, 3) ⇒ B'(3, 6)

  C(-2, -6) ⇒ C'(-6, -2)

Which property is shown here? (-3 + 9) + 1 = -3 + (9 + 1)

Answers

Answer:

Commutative property

Step-by-step explanation:

Answer:

Associative property I think

Step-by-step explanation:

A cylinder has a height of 4 centimeters. Its volume is 12.56 cubic centimeters. What is the radius of the cylinder?

Answers

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

You have a box of fruit flies that are left untouched. The fruit fly population doubles every 3 hours. Would this equation be linear or exponential?

Group of answer choices


Exponential


Linear

Answers

Answer:

B Exponential

Step-by-step explanation:

Hope this helps

The equation for the fruit fly population doubling every 3 hours would be exponential.

Exponential growth occurs when a quantity increases at a fixed percentage over fixed intervals of time. In this case, the population of fruit flies doubles, which means it is increasing by 100% every 3 hours.

The general form of an exponential growth function is given by: y = a * b^x

Where:

- y is the final quantity or population size after x intervals of time.

- a is the initial quantity or population size at the beginning (in this case, the initial number of fruit flies).

- b is the growth factor (in this case, b = 2 since the population doubles every 3 hours).

- x is the number of intervals of time (in this case, the number of 3-hour periods).

In the context of the fruit fly population, the equation would be in the form of y = a * 2^x, where the population of fruit flies increases exponentially as time passes. This is why the equation is exponential.

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please help will give brainliest

Answers

Answer:

Look at the pictures (they are color coded)

red is 1st

blue is 2nd

green is 3rd

black is 4th

please help me asap, pleaseee :/


ty ty :D

Answers

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

What is the 13th term of the geometric sequence
4, 12, 36, 108, ...?

Answers

Answer: 2,125,764

Step-by-step explanation:

You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term

The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:

y=4*3^(n-1)

Substitute 13 for n:

y=4*3^(13-1)

y=4*3^12

y=2125764

Therefore, the 13th term of this geometric sequence is 2,125,764

Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?

Answers

Answer:

the jar of peanut butter is $2.36

Step-by-step explanation:

Answer: $2.36

Step-by-step explanation:

4 An item is priced at $14.05. If the sales tax is 4%, what does the item cost including sales tay?​

Answers

Answer:

$14.61

Step-by-step explanation:

14.05 * 1.04 = 14.612

if you take 3/4 of 1 3/5 how much do you have

Answers

Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Answer:17/20Step-by-step explanation:1 3/5 - 3/4 => 8/5 - 3/4=> 32/20 - 15/20=> 17/20Conclusion:

Therefore, the answer is 17/20.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

HELP PLZZ! DUE IN 15 MIN!

Answers

Answer:The chance of getting a 5 or 6 in the next turn is about 40%.Step-by-step explanation:=> (5 + 3) ÷ (3 + 3 + 0 + 6 + 3 + 5)=> 8 ÷ 20=> 8/20=> 4/10=> 0.40=> 0.40 x 100=> 40%Conclusion:

Therefore, the chance of getting a 5 or 6 in the next turn is about 40%.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Find the common factor in the given algebraic expressions: x(a-b), y (b-a)
Explain please.


Answers

Answer:

the common factor in the given algebraic expressions: x(a-b), y (b-a)

Step-by-step explanation:

(x-y)(a-b)

what is the correct solution to the system of equations below?

2x+y=13
y=x-5

Answers

Answer:

2x+y=13

2x + x-5 = 13

3x = 13 + 5

3x = 18

x =18/3

x= 6

now

y = x- 5

y = 6- 5 = 1

thanks marks me as brainliest

Why do we not use a Leg-Leg (LL) Theorem that says if you know that the legs of two right triangles are congruent, then the triangles are congruent?
A. This information is not sufficient to prove triangles congruent.
B. This case is already covered by the HL Theorem.
C. This case is already covered by the SSS Postulate.
D. This case is already covered by the SAS Postulate.

Answers

It’s c I think but correct me if I’m wrong

i just need to know if this is correct and if i need to fix anything

Answers

Answer:

You are correct. Good job and merry Christmas, have a good day.

Answer:

Your answer is correct

Step-by-step explanation:

You don’t need to change anything because (-3, 12) is correct!

hope that helps! ❤️❤️❤️❤️

George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 5834 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box.

Answers

Answer:

Step-by-step explanation:

68 1/4

The distance travelled before their first gas stop is 68 1/4 miles given in mixed fractions.

What is a mixed fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Assume the distance covered before their first stop for gas be 'x'

Total distance travelled is 381  miles

We are given that after stopping for gas they travelled 58 3/4 miles and then tripled their distance. The equation formed is

x + 3x + 58 3/4  = 381

4x + 58 3/4  = 381

x=68 1/4 in mixed fraction

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A certain factory produces and sells C computers per month. It costs x dollars to produce a single computer, and the factory sells each computer for y dollars. Their monthly net profit is 10,000 dollars.

Write an equation that relates C, x and y.

Answers

Answer:

Cy-Cx=10,000 this is the best answer ever

how many students are in the year group?

Answers

Answer:

372

Step-by-step explanation:

How many students attended school in recent years? In fall 2020, about 48.1 million students attended public schools in kindergarten to grade 12, ...

Missing: group ‎| Must include: group

Can someone please tell me the answer
(20 points)

Answers

Answer:

the aswer is B

Step-by-step explanation:

What is the function of the line with a slope of 1/5
that goes through the point (-1,5)

Answers

Y= Mx+c

Y= 1/5x + c

Now you can find see by simply just replacing with the given points

5=1/5(-1)+c

C= 26/5

Final answer:

Y= 1/5x+26/5

A right rectangular prism has edges of 8 feet, 4 feet, and
1/ foot.
How many cubes with side lengths of
1/2
foot would be needed to fill the prism?

Answers

Answer:

[tex]to \: know \: the \: answer[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you !!

The property of 12x2-7=6-2x2+2

Answers

12x2-7=6-2x2+2
14x^2-15=0
a=14 , b =0 , c=-15
0^2-4x14x(-15) =
840

3х + 4y= 4
12х + 16y = 8

Answers

Answer:

No Solution.

Step-by-step explanation:

3x+4y=4

12x+16y=8

--------------

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

12x+16y=8

--------------------

-12x-16y=-16

12x+16y=8

-----------------

0=-8

no solution

The domain of function f is (-00, 6) U (6,00). The value of the function approaches -o as x approaches -00, and approaches oo. Which function could be function ?​

Answers

Answer:

a

Step-by-step explanation:

The function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The value of the function approaches -∞ as x approaches -∞ is,

[tex]F(x) = \dfrac{x+6}{x-6}[/tex]

The graph of the function is attached with the answer which is showing the approach of the function in the x-y plane.

Therefore, the function is [tex]F(x) = \dfrac{x+6}{x-6}[/tex]. Option C is correct.

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Please find the surface area of the prism... I will mark you brainliest

Answers

the surface area is 548 in^2

Answer:

The surface area = 548 in²

Step-by-step explanation:

The surface Area = 2lw + 2lh + 2wh  using l = 10 in, w = 7 in, and h = 12in.

Substitute into the formula and solve

  2lw + 2lh + 2wh

= 2· 10·7 + 2· 10 · 12 + 2 ·7 ·12

=  140  +  240 + 168

= 548 in²

 

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