Due to gravity, an object falls 16t^2 feet in t seconds. You drop a backpack from a window that is 20 feet above the ground. Will the backpack hit the ground in 1 second?

Answers

Answer 1

Answer:

NO

Step-by-step explanation:

Let h(t) represent the distance the pack is located above the ground at time t.  Then h(t) = 20 ft - 16t^2 ft.  Notice how h = 20 ft (the initial height) and that it decreases as t increases.

How long does it take for the pack tohit the ground?  Set h(t) = 0 and solve for t:

0 ft = 20 ft - 16t^2 ft yields 16t^2 ft = 20, or t^2 ft = 20/16, which is greater than 1.  So the question "Will the backpack hit the ground in 1 second" is answered by NO.


Related Questions

how many hours are from 2:30pm to 11:00pm?​

Answers

Answer:

10 hours and 30 minutes.

Step-by-step explanation:

Hope it helps

find the side lengths. help please, asap. thank you!

Answers

Answer:

Step-by-step explanation:

A) WX=YX

angle w =angle Y=70

X=180-2x70= 40

B) all sides are equal. Angle V=T=U=180/3=60

(a) the given triangle is a isosceles triangle. The two base (non-congruent side) angles (in this case, ∠XYW & ∠XWY) will have the same measurements.

It is given that m∠XYW = 70°, therefore, m∠XWY is also 70°.

Subtract 180 from the two 70° to get m∠X:

180 - (70 + 70) = 180 - 140 = 40°

m∠X = 40° is your answer.

~

The given triangle is a equilateral triangle (All sides are congruent). If all sides are congruent, it is a equilateral triangle, and if it is a equilateral triangle, then all measurements of the inside angles are the same, 60°

m∠V = 60°

~

Pls help die in 10 mins

Answers

Answer:

Area of sector of a circle = 28.26 meter²

Step-by-step explanation:

Given:

Side of cube = 12 meter

One white section = sector of a circle

Find:

Area of one white section

Computation:

Radius of circle = Side of cube / 2

Radius of circle = 12 / 2

Radius of circle = 6 meter

One white section = sector of a circle

Area of sector of a circle = [θ/360][π][r]²

Area of sector of a circle = [90/360][22/7][6]²

Area of sector of a circle = [0.25][3.14][36]

Area of sector of a circle = 28.26 meter²

Please please i need help i did not understand it
please do it .........

Answers

Answer:

w = 325cm

Step-by-step explanation:

=> here's your solution

=> formula is v = t*w*h

=> v = 5915cm^3

=> t = 91cm

=> we need to find w = ?

=> V = T*W*H

=> w = 5915/(91*5)

=> w = 325cm

hope it helps

The table below shows some values that satisfy a linear function.
Х
Y
-5
0
-3
3
-1
6
1
9
3
12
What is the slope of the line that is represented by the values in the table above?
w

Answers

Answer:

3/2

Step-by-step explanation:

Truthfully, you only need two points for a linear equation, so I will only use two.

(-5, 0)

(-3, 3)

I will use the skeleton method to find the slope

((0) - (3))/((-5) - (-3)) -> -3/-2

The slope is 3/2

The question is in the screen shot pls help

Answers

Click on the photo.............

In a random sample of 5 residents of the state of Maine, the mean waste recycled per person per day was 2.6 pounds with a standard deviation of 0.69 pounds. Determine the 98% confidence interval for the mean waste recycled per person per day for the population of Maine. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.

Answers

Answer:

(1.307 ; 3.893)

Step-by-step explanation:

Given that:

Mean, xbar = 2.6

Standard deviation, s = 0.69

Sample size, n = 5

Confidence interval : xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Degree of freedom (df) = n - 1 = 5 - 1 = 4

Hence Tcritical = 3.747

Margin of Error = 3.747 * 0.69/sqrt(4)

Margin of Error = 1.293

Lower boundary = (2.6 - 1.293) = 1.307

Upper boundary = (2.6 + 1.293) = 3.893

(1.307 ; 3.893)

Given that sec(θ)=5/3 and θ is in Quadrant I, what is tan(θ)? Write your answer in exact form. Do not round.

Answers

9514 1404 393

Answer:

  tan(θ) = 4/3

Step-by-step explanation:

The relationship between secant and tangent is ...

  1 +tan² = sec²

The the tangent of the angle is ...

  tan(θ) = √(sec²(θ) -1)

  tan(θ) = √((5/3)² -1) = √(16/9)

  tan(θ) = 4/3

How can you write the fraction 4/10 as an equivalent fraction over 100

Answers

Answer:

40/100

Step-by-step explanation:

4/10 can be made into an equivalent fraction by multiplying each number by 10. This is because we need to change the denominator into 100 and 10x10=100.

10(4/10)=40/100

40/100 is the answer

Hope this helps!

Can you help me with this please???

Answers

Answer:

C

Step-by-step explanation:

divide 14 by 4 to solve it, you get 3.5 or 3 1/2

225 is what percent on 75 solved in an equation

Answers

Answer:

300%

Step-by-step explanation:

[tex]\frac{225}{75} = \frac{y}{100}[/tex]

225 × 100 = 75 × y

22500 = 75y

75y ÷ 75 = 22500 ÷ 75

y = 300

300%

Here is a formula for most percent problems.

Describe how paragraphs 8 through 12 contribute to the development of the story's theme. Use details from the text to support your answer.

Answers

Answer:

What story

Step-by-step explanation:

please help me thank you

Answers

Answer:

B.

Step-by-step explanation:

The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is

3/5 x 1/2 = 3/10

3/10 < 1/2

Therefore, 3/5 is less than 1/2!

Can somebody help me please is it A,B,C,D

Answers

Answer:

80 degrees

Step-by-step explanation:

The only given angle here is angle 4, which measures 100 degrees.

1) Identify angle relationships

Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.

2) Solve for angle 6

180-Angle 4=Angle 6

180-100=Angle 6

80=Angle 6

Therefore, the measure of angle 6 is 80 degrees.

I hope this helps!

Answer:

c. 80°

Step-by-step explanation:

We are given a shape with a bunch of lines, and are asked to find what measure is ∠6.

Solving this is simple, we just need to keep notice that what angle is larger than 90 degrees looks like and what under 90 degrees looks like. All angles that are above 90 look wide and huge, while all under is very tiny and skinny.

If we take a look at our hint, angle 4 has the (100 degrees). Look at how wide it is, if angle 6 is tinier than that, then the answers A. and B. are scratched out.

Now 90 degrees is a right angle, looking at angle 6 guarantees that D. is also not correct because it is not a right angle.

Leaving us with C. 80

7. Falls Canyon has an area of 1458 square miles. If the population density of deer is 50 deer per square mile, what is the total population of deer, rounded to the nearest thousand?
70,000
10,000
73,000
7,000

Answers

Answer:

73,000

Step-by-step explanation:

1458*50=72000

Answer:

73,000

Step-by-step explanation:

Hrs
5.
Calculate the
portion for jogging
in degrees.
[?]°
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
20
10
5
20 hrs.
10
50
Total Sport Hours

Answers

the total speed hour is 115

NO LINKS OR WEBSITES ALLOWED! (Especially bitly)

What is the volume of this figure
a
12 cubic units
b
16 cubic units
c
28 cubic units
d
40 cubic units

Answers

This volume is 12 because you have to count in the side

How do I graph the line with slope of 3 and Y-intercept if -6?

Answers

Step-by-step explanation:

For drawing the graph , we Firstly need to find the equation of the line . We can find the line using Slope intercept form . Here ,

y intercept = (-6)slope = 3 .

We know slope intercept form as ,

[tex]\implies y = mx + c \\\\\implies y = (3)x + (-6) \\\\\implies \boxed{\boxed{y = 3x - 6 }}[/tex]

Now we need to plot the graph of y = 3x -6. Refer to attachment for graph .

Use a t-distribution to find a confidence interval for the difference in means using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using . A 95% confidence interval for using the paired difference sample results , , . Give the best estimate for , the margin of error, and the confidence interval. Enter the exact answer for the best estimate, and round your answers for the margin of error and the confidence interval to two decimal places.

Answers

Answer:

hi sorry i just want points YOSHIII :3

Step-by-step explanation:

482 – 412 + 286 - 12 x 204solve​

Answers

Answer:

70,176

Step-by-step explanation:

Given that

482 - 412 + 286 - 12 × 204

We need to solve the above equation

= 482 - 412 + 286 - 12 × 204

= 70 + 286 - 12 × 204

= 356 - 12 × 204

= 344 × 204

= 70,176

Hence, the answer to the given equation is 70,176

The same is to be considered and relevant

Find sin X.

1.sinX=4/5
2.sinX=5/4
3.sinX=3/5
4.sinX=3/4

Answers

Answer: 1. Sinx=4/5

Sinx=yz/xy=36/45=4/5 (divided by 9)

Jill and Alice each sold 40 pieces of
fruit. If 15% of Jill's sales were apples,
and Alice sold 5 apples, who sold more
apples? How many more?
Show work to find
Jill's apples!

Answers

Jill sold 6 so she sold 1 more apple.
.15x40=6

Triangle A’B’C’ is a dilation image of triangle ABC. Which is the correct description of the dilation?

A. Center C and scale factor 4

B. Center A and scale factor 4

C. Center A and scale factor 5

D. Center C and scale factor 5

Answers

Answer:

B.

Step-by-step explanation:

Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.

In ΔRST, r = 59 cm, s = 10 cm and t=68 cm. Find the area of ΔRST to the nearest 10th of a square centimeter.

Answers

Answer:

Area≈137.965≈138

Step-by-step explanation:

Rosalina just started a new job. She has $500 in her bank account. Every week, she deposits $40 into her bank account. Write an expression to represent how much Rosalina has in her account at any given time using x to represent the number of weeks. please help!!!​

Answers

Answer: (40x)+500

Step-by-step explanation:

Which equation can be used to find volume?

Answers

Answer:

V=l*w

Step-by-step explanation:

Jose can eat 5/8 of a pizza in 1/4 hours. How many hours will it take him to eat the whole pizza?

Answers

Answer: 2/5 of an hour

Step-by-step explanation:

ok so 5/8 = .625 just to begin with...

and as a ratio it would be .625 = .25

                                            8/8 (1)    

So I did .25x1=.25

.25x.625= 0.4 or as a fraction 2/5

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
[tex]\frac{14x^{4}y^{6} }{7x^{8}y^{2} }[/tex]

A.
[tex]\frac{2y^{4} }{x^{4} }[/tex]

B.
[tex]\frac{7y^{3} }{x^{2} }[/tex]

C.
[tex]7x^{4} y^{4}[/tex]

D.
[tex]2x^{2} y^{3}[/tex]

Answers

Answer:

                                                       

Step-by-step explanation:

                                                                                                       

                                       

Answer is A i ran it through my phone

Please answer now
#3
A store owner paid $15 for a book. She marked up the price of the book by 40% to determine its selling
price.
Part A
What is the selling price of the book?
Part B
A customer buys a different book that has an original selling price of $38. The book is discounted 25%.
The customer must pay a 6% sales tax on the discounted price of the book.
What is the total amount the customer pays for the discounted book?
Enter your answer in the box.
1
2
3
.
5
6
s
7
8
0

Answers

Step-by-step explanation:

too long

Answer:

do you have a ilnk i cant understand

Step-by-step explanation:

Food bill before tax: $24 Sales Tax: 7.3% Tip: 18%​

Answers

Answer:

30.07

Step-by-step explanation:

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