The height of a pebble dropped from a cliff 20,00 feet heigh is described by formula h(t)=20,000 + 5t^2. How long will the pebble take to reach a height of 32,500 feet?

Answers

Answer 1

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds


Related Questions

WHAT in the valuE of 3n=1 when n=4?

Answers

Answer: 4

Step-by-step explanation:

Hey there! [tex]\bold{3n=1; n =4}}[/tex][tex]\bold{If\ n=4\ then\ substitute\ where\ the\ n\ is\ at\ in\ your\ equation!}[/tex][tex]\bold{3(4)=1}}\\ \bold{3(4)=12}\\\bold{12\neq 1}}\\\\\\\boxed{\boxed{\bold{Answer: 12\neq 1}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day![tex]\frak{LoveYourselfFirst:)}[/tex]

on a beautiful day there are 65 cars in the beach parking lot 26 more cars park in the parking lot before noon but 17 car slept how many cars are in the beach parking lot ​

Answers

Answer:

a

Step-by-step explanation:

A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *

Answers

Answer:

$21 x 30 = 630 (630 the answer)

Step-by-step explanation:

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

Find $m\angle LKM$ .

Answers

Answer:I need a picture or numbers to answer

Step-by-step explanation:

What is the product of twenty hundredths and sixty-five thousandths

Answers

Answer:

0.013

Step-by-step explanation:

The product of twenty hundredths and sixty-five thousandths is 0.013.

Given that, the product of twenty hundredths and sixty-five thousandths.

What is the product of two fractions?

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their denominators / Product of their numerators.

Twenty hundredths = 20/100

Sixty-five thousandths = 65/1000

Product = 20/100 × 65/1000

= 2/10 × 65/1000

= 130/10000

= 13/1000

= 0.013

Therefore, the product of twenty hundredths and sixty-five thousandths is 0.013.

To learn more about the product of two fractions visit:

https://brainly.com/question/7335118.

#SPJ2

Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds

Answers

Answer:

12 pounds

Step-by-step explanation:

You have to divide the mass value by 16.

what is 0.34 round to the nearest tenth

Answers

Answer:

0.3

Step-by-step explanation:

We use the following rules to round 0.34 to the nearest tenth:

A) If the last digit in the fractional part of 0.34 is less than 5, then simply remove the last the digit of fractional part.

B) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is less than 9, then add 1 to the first digit of the fractional part and remove the second digit.

C) If the last digit in the fractional part of 0.34 is 5 or more and the first digit in the fractional part is 9 then add 1 to the Integer part and make the fractional part 0.

With 0.34, rule A applies and the answer is: 0.3

Answer:

0.3

Step-by-step explanation:

round down because its 4

The sum of two numbers is 68 and the difference is 12. What are the numbers? Larger number: Smaller number:

Answers

Answer:

This is hard asfk

Step-by-step explanation:

Sorry but im confused just as you.

Plz help me answer this

Answers

Answer:

(1, 7)

x = 1

y = 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

-5x + 2y = 9

y = 7x

Step 2: Solve for x

Substitution

Substitute in y:                              -5x + 2(7x) = 9Multiply:                                         -5x + 14x = 9Combine like terms:                      9x = 9Isolate x:                                         x = 1

Step 3: Solve for y

Define original equation:                    y = 7xSubstitute in x:                                     y = 7(1)Multiply:                                                y = 7

Answer: x = 1 and y = 7

Step-by-step explanation:

first you substitude y for 7x

-5x + 2(7x) = 9

then you distribute

-5x + 14x = 9

then you combine like terms

9x = 9

then you divide both sides by 9

x = 1

then you subsitute the x value in the other equations

y = 7(1)

meaning y = 7

When you’re multiplying or dividing same sign numbers, what will your product or quotient be?

Answers

When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.

The answer will be the opposite of the sign so for example -5*-5= 25

Can someone help plz

Answers

Answer:

84g

Step-by-step explanation:

399÷19=21

21 x 4 = 84

Solve x for me please I need it!!!

Answers

The answer is 56 hope this helps

Answer:

The angle x° = 34°

Step-by-step explanation:

Given the right-angled triangle

right angle = 90° Given the angle = 56°

We know that the sum of angles of a triangle = 180°

so

90° + 56° + x° = 180°

x° = 180°- 90° - 56°

x° = 34°

Therefore, the angle x° = 34°

(Timed) Solve the system of equations work shown

Answers

Answer:There are 2 ways to solve this system: by substitution or by graphing. I will solve this system using both.

Substitution Method

For x:

[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]

For y:

[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]

Solution:

[tex](14, 15.5)[/tex]

Graphing Method

According to this graph, the solution will be [tex](14, 15.5)[/tex].

carrie and joel plan to sell apple pies at the county fair for $6 each. the ingredients they used cost $3.75 per pie. they rent an oven for $54 to keep the pies hot throughout the day. how many pies must carrie and joel sell in order to break even?

Answers

Answer:

24 pies

Step-by-step explanation:

Let x represent the number of pies and set up an equation:

6x = 3.75x + 54

Solve for x:

6x = 3.75x + 54

2.25x = 54

x = 24

So, Carrie and Joel have to sell 24 pies to break even

The price of a smartphone increased from $25 to $40. Find the percent
increase

Answers

Answer:60% increase

Source:trust me bro

Answer:

= 60% increase

Step-by-step explanation:

Anyone know this pls help me

Answers

The correct answer is -4, I hope this helped:)

Evaluate the expression when a= 3 and b = 43.
b-5a

Answers

Answer:

28

Step-by-step explanation:

Find 12.43 more than 4.065.

Answers

Answer:

16.495

Step-by-step explanation:

plz mark B R A I N L I E S T

Answer:

16.405

Step-by-step explanation:

since you need to find more add 12.34 + 4.065= 16.405

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?

A.
3y - X = -6
4y - x = 44

B.
3y + x = -6
4y + x = 44

C.
3y - 3x = -6
4y - 4x = 44

D.
3y + 3x = -6
4y + 4x = 44

Answers

Answer: c

Step-by-step explanation:

bc i said

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

Plz need help rn What is m

Answers

Answer:

measure of angle p=

94

Step-by-step explanation:

ok 5 sided polygon= 540

so put all of those equal to 540

need to find x first

540=132+(4x-10)+(5x-11)+128+(4x+2)

simplify and combine like terms

x=23

now plug in for angle p

(4(23)+2)

94

Help asap please!! I will mark you as brainliest :)

Answers

Answer:

52

Step-by-step explanation:

bro imma be honest with you the way i figured this out doesnt even make sense so im not even gonna try and explain ths lol

The first choice is the right answer - 52
4 bags for two batches so for one batch it’s 2 bags and for 26 batches you multiply that by 2 so you get 52

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?
O The lines are perpendicular to each other because - and - are opposite reciprocals of each other.
The lines are perpendicular to each other because 2 and - 1 are opposite reciprocals of each other.
O The lines are neither parallel nor perpendicular to each other because - and are not opposite reciprocals
of each other.
The lines are neither parallel nor perpendicular to each other because 2 and - 3 are not opposite reciprocals of
each other.

Answers

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: [tex]y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}[/tex]

The lines are perpendicular if they have opposite slopes i,e [tex]m_1=-\frac{1}{m_2}[/tex]

In line 1 the slope is [tex]-\frac{4}{5}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-4/5)

In line 2 the slope is [tex]-\frac{5}{4}[/tex] (Comparing with slope-intercept form [tex]y=mx+b[/tex] we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C

Answer:

c

Step-by-step explanation:

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

HELP! i'll give brainliest just please help me ;(

Answers

12. SAS
And 14 is either SAS or none. The rest are correct

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

Will mark brainliest for whoever answers

Answers

Answer:

No

Step-by-step explanation:

You have to do it.

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

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