The formula h=30+40t-5t^2 can be used to find the height h, in meters, of an object shot upward from the top of a building 30 m above the ground at the initial speed of 40 mps, after t seconds. How much higher above the ground is the object after 4 seconds than 2?

Answers

Answer 1

Answer:

20m

Step-by-step explanation:

Given the formula that modelled the height given as;

h=30+40t-5t^2

At t = 4s

h=30+40(4)-5(4)^2

h = 30+160-80

h = 160-60

h = 110m

At t = 2s

h=30+40(2)-5(2)^2

h=30+80-20

h = 110-20

h= 90m

Difference in height = 110-90 = 20m

Hence the height is 20m higher above the ground at 4s than at 2s


Related Questions

Rita owed her brother $ 15. After her birthday, she was able to pay him back and still have $45. How much money did Rita receive for her birthday ?

Answers

she received $60 on her birthday

airplane a traveled 1273 miles in four hours.For airplane b y=621 x/2 represents rate of speed over the same four hours wichair plane traveled at a faster rate and by what factor?round to the nearest hundredth

Answers

Answer: Airplane A by a scale factor of 1.02

Step-by-step explanation:

Airplane A: 1273/4=318.25

Airplane B: Rate is the slope of equation, 621/2=310.5

So,

318.25/310.5=1.0249

Airplane 'a' is faster than airplane 'b' by a factor of  1.03 times.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, An airplane 'a' traveled 1273 miles in four hours.

∴ The airplane 'a' traveled (1273/4) = 318.25 miles per hour.

For airplane b y = (621x)/2 + 0b represents the rate of speed over the same four hours

∴ The rate of change per hour for airplane 'b' is (621/2) = 310.5 miles.

So, airplane 'b' is faster than airplane 'a' by a factor of (318/25/310.5) = 1.0257 = 1.03 times.

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PLEASE NO FAKES!! its Friday :(

A.location of comets
B.geocentric star system
C.heliocentric solar system
D.galaxy that is nearest to Earth
This isnt reallt=y math but people is really good at math soooo

Answers

Answer:

C.heliocentric solar system

Heliocentrism is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Universe.

Answer:

Your answer is C.

Hope This Helps!

The amount a hardware store pays for buying nylon rope is represented by the equation y = 0.08x, where 'y' is the price it pays for 'x' feet of rope. The amount the hardware store charges for selling the rope is represented by the graph. Part A What does the slope of the graph show about the hardware store's selling price for the rope?

Answers

Answer:

0.025 $/in.

The store bought 300 ft of rope.

1 ft = 12 in.

300 ft * 12 in./ft = 3600 in.

The store bought 3600 inches of rope.

The store sells 40 inches of rope for $1.60. We can find the selling unit price of rope in dollars per inch.

($1.60)/(40 in.) = $0.04/in.

The store sells the rope at a price of $0.04 per inch.

The store sold all the rope at $0.04/in.

3600 in. * $0.04/in. = $144

The store sold all the rope for $144.

The profit was $54 for selling ll the rope.

$144 - $54 = $90

The bought the rope for $90.

The cost is dollars per inch is

($90)/(3600 in.) = 0.025 $/in.

Step-by-step explanation:

The slope tells for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

The slope of the graph represents the rate of change between the hardware store's selling price (y-axis) and the quantity of nylon rope sold (x-axis).

In this case, the slope is given as 0.08.

Interpreting the slope:

A slope of 0.08 means that for each additional foot of nylon rope the hardware store sells (x increases by 1), the selling price (y) increases by $0.08.

This indicates a linear relationship between the quantity of rope sold and the selling price.

In other words, for every one-foot increase in the amount of rope sold, the hardware store increases the selling price by $0.08.

Learn more about Slope here:

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Need help with this question, Its geometry

Answers

Answer:

B. FE=40

Step-by-step explanation:

A. correct because FE = 58  6(8)+10=58

C. correct because 6(8)+10=40

D. correct because DF= 40  8(8)-24=40

Jason needs to save at least $200 by the end of the summer. He already has $40, and he has 8 weeks to save. Which inequality can he use to decide how much he needs to save each week?

Answers

Step-by-step explanation:

y=mx+b

200 = 8x + 40

Rearrange,

x = 160/8 = 20

He would need to save $20 a week

200= 20 × 8 + 40

Answer:

8x + 40 ≥ 200At least $20 each week

Step-by-step explanation:

Target amount = at least $200Jason already has = $40Time = 8 weeksSaved amount each week = x

Required inequality:

8x + 40 ≥ 2008x ≥ 160x ≥ 160/8x ≥ $20

True or False. When adding a positive and negative integer, the sum maybe a positive Integer.

Answers

Answer:

True

Step-by-step explanation:

If the positive integer is greater than the negative integer, the sum will be positive.

Answer:

True

Step-by-step explanation:

Eg: 9+ -5=

Since 9 is the greater number, the answer shall take that value.

So, The main point is that when adding a positive to a negative, you can get a positive integer!

I hope this helps you!!  :)

5 (2k - 8 ) - 15 = -25
how do I solve this?

Answers

Answer:

3=k

5(2k-8)-15=-2510k-40-15=-2510k-55=-2510k=-25+5510k=3030÷103=k

What is the shape of the distribution shown below? ​

Answers

Answer:

Symmetric

Step-by-step explanation:

Left skewed is going up to the left

Right seemed the same but to the right

Uniform will be same level rectangular shape

It is positively skewed or we can say the data is right skewed so,

D. The distribution is right skewed.

What is skewness?

Skewness is a metric for the asymmetry or distortion of symmetrical distribution in a set of data. When data points on a bell curve are not evenly distributed to the left and right sides of the median, this is known as skewness. The bell curve is referred described as being skewed if it is tilted to the left or right.

Skewness is a measure of the asymmetry of a distribution.

In the given data set, it is positively skewed or we can say the data is right skewed.

Generally, The normal distribution is symmetrical.

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37x+26=42x+6
someone please help me solve this step by step

Answers

Step-by-step explanation:

37x+26=42x+6

x=4

If am wrong sorry

Answer:

x = 4

Step-by-step explanation:

1. Subtract 26 on both equation. (37+26−26=42+6−26)

2. Simplify and Subtract the numbers and repeat. (37=42−20)

3. Subtract 42x on both equation. (37−42=42−20−42)

4. Put together (simplify). (−5=−20)

5. Now divided with -5x. ( −5/−5=−20/−5)

6. Get your answer! (=x4)

~~~Hope this helps~~~

A toy store marks down every toy by 15% in January. How much does a toy cost during January? Use p for the price in December.

Answers

Answer:

s=p−(p⋅d) .      0.75p

Step-by-step explanation:

Determine whether the ordered pair (-5,36) is a solution to the equation 2x- y/2 = -8

Answers

No.
An order pair is in the format of (x,y). Therefore, in the order pair (2,4), 2 is the x and 4 is the y. When you plug these numbers into the equations you don’t get equal answers:

4(2) = 4 - (4)
8 ≠ 0

3(2) = 26 + 5(4)
6 ≠ 46

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Answers

Answer:

it would be 0.64

Step-by-step explanation:

7/4x-5 + 2y - 3.5 + -1/4x + 5

Answers

-7/4+2y+1/4x is the answer

Rachel's school play started at 9:20 AM.
It lasted 2 hours and 10 minutes.
What time did the play end?

Answers

Answer:

11:30

learn how to count you bozo

A taxi charges a flat fee of $2 and $0.75 per mile.
Angela can spend no more
than $20. How many miles
can she travel in the taxi?

Answers

Answer:

She can travel 7 miles in the taxi.

Step-by-step explanation:

2.75×7=19.25

What is the result when you change the line y = 6/5 x + 2 to
Ax + By + C = 0 form?

Answers

Answer:

14x+7y=-214x+7y=−2

Step-by-step explanation:

I think that can help :) wanna chat add me as  friend

An architect's scale drawing of a new school is 8.4 inches
long. The scale used in the drawing is 2 inches = 8 feet.
What is the actual length, in feet, of the school?
Select one:
16.8
18.4
51.2
o
33.6

Answers

Answer:

33.6

Step-by-step explanation:

Look at the picture 10 points.​

Answers

Answer:

-7

-3

28

-3

-6

-20

-6

-42

6

15

Can anyone give me the answer? I’ll give brainleist

Answers

Answer: 22 i think

Step-by-step explanation:

add all sides together

Answer:

22 ft

Step-by-step explanation:

Perimeter is the measure around a 2D shape. You just add the length of the border to get your perimeter.

ILL MARK U BRAINLIEST IF U EXPLAIN!!

Answers

Answer:

93

Step-by-step explanation:

the total of all those are 150 so if you multiply it by three you get 450

so multiply pizza by three too

to get 93

Answer:

93 students

Step-by-step explanation:

You first need to add up all the numbers on the chart, 36 + 29 + 54 + 31. You would then get 150. Divide 450 / 150 = 3. You multiply the amount of students chose pizza by 3 and you get 93. 31 * 3 = 93.

Therefore, 93 students would say pizza is there favorite food.

Hope this helps :)

Write an expression that shows “the product of 3 and the sum of 6 and 8.”

Answers

I hahahahahahshshshahshahshhauaua

A line passes through (2, −1) with slope 3. What is the equation of the line in slope-intercept form? A. y=3x+5 B. y=3x−7 C. y=13x+5 D. y=−13x

Answers

Answer:

B

Step-by-step explanation:

y=3x+a

3*2+a=-1

a=-7

Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.

Answers

Answer:

Wyatt played 3 games and went on 6 Rides

Step-by-step explanation:

Let games be represented as x

Let ride be represented as y

Each game cost $1.25

Each ride cost $2.75

Total money spent by Wyatt= $20.25

x1.25 + y2.75 = 20.25 ..... Equation 1

the number of rides he went on is twice the number of games he played

Y= 2x ... Equation 2

Substituting the value of y into equation 1

x1.25 + y2.75 = 20.25

x1.25 + 2(x)2.75 = 20.25

x1.25 + x5.5 = 20.25

x6.75= 20.25

x= 20.25/6.75

X= 3

Y= 2x

Y= 2(3)

Y= 6

Wyatt played 3 games and went on 6 Rides

The length of a rectangle is 4 inches greater than the width. The perimeter of the rectangle is 24 inches. What are the dimensions of the rectangle

Answers

Answer:

L=8, W=4

Step-by-step explanation:

2L+2W=p

2(4)+2(8)=p

8+16=24

Answer:

length = 8 in.; width = 4 in

Step-by-step explanation:

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

=

describe fully the single transformation which takes shape A to shape B

Answers

Answer:

You need to show us the shapes first bro

Step-by-step explanation:

can you plz answer this for me its graded

Answers

Answer:

Kaylynn=$270

Amanda=$250

Step-by-step explanation:

Kaylynn=8.25x32.5=268.125 but since its estimated we round it up to 270.

Amanda=8.75x28.5=249.375 but since its estimated we round up to 250.

What is the area of the composite figure? Please answer need the answer now!

Answers

Answer:

65

Step-by-step explanation:

I think it’s 65 for this question

Help needed. Only 1-5 is needed help on plz and ty

Answers

Answer:

number 5 is y= 3    7-3=4x4=16

Step-by-step explanation:

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