Free fall reaches 216km per hour. What is rate in meters per second.? How many meters fall during 20 seconds free fall?

Answers

Answer 1

Given,

Rate of free fall = 216 km/h

Solution,

km/h to m/s is converted as follows :

[tex]216\ \dfrac{km}{h}=216\times \dfrac{1000\ m}{3600\ s}\\\\=60\ m/s[/tex]

So, the rate of fall is 60 m/s.

If t = 20 s

Assume, initial velocity = 0

It will move under the action of gravity.

Using equation of motion,

[tex]h=ut+\dfrac{1}{2}gt^2\\\\h=0+\dfrac{1}{2}\times 10\times 20^2\\\\h=2000\ m[/tex]

Hence, this is all for the solution.


Related Questions

Which statement is correct?
Α. ΔΑGT = ΔQΜΕ
Β. ΔTAG = ΔΕΜW
C. ΔGTA = ΔQΜΕ
D. ΔΑGT = ΔΜΕΟ

Answers

Answer:

C

Step-by-step explanation:

We already know the triangles are congruent because all of the sides of one triangle correspond directly with another. Then, this is a problem of correct labling. GTA goes from point G (top) to T (bottom) to A (left). If we rotate the triangle MEQ, it is laid out in the same way: point Q (top) to point M (bottom) to point E (left or right).

Our correct answer is GTA = QME

Identify the angles of rotational symmetry for the figure.
+
Rotational symmetry

Answers

Answer:

144

Step-by-step explanation:

Answer:

90 180 270

Step-by-step explanation:

Sam saved $50 from his summer job to buy video games. He bought 3 video
games and the cashier gave him $12.80 in change. If each game cost the same
amount, how much was each video game?

Answers

Answer:

$12.40

subtract 12.80 from 50 to get 37.20 then divide by 3

If s varies directly as t2, and s = 294 when t = 7, find s when t is 9

Answers

Answer:

If you need to find s when t is 9, its simple.

Step-by-step explanation:

All ypu need to do is see what t is

t equals 2

you want to find what s is when t is 9

when t is 2, s is 294

when t is 9, all you have to do is find what times 2 equals 9, then times that number by 294

If I had 1 banana then I ate that banana how many of the banana would I have hint the peal First person gets brainliest

Answers

1 peal 0 banana

eeeeeeeeeeeeee

ARIHANNAL
Session 2: Calculator
Question 22
X+Y
Line
Guide
Jason took out an $800 loan from his bank two years ago. He recently paid $860 back to the bank. This included the original loan amount
and the simple interest charged to him.
What was the annual interest rate of Jason's loan?
a 3%
D 3.75%
7.5%
15%

Answers

Answer:

I think its 3 or 3.75 you can check

Step-by-step explanation:

Last year, the debate club had 16 members. This year, the club has 10 members. What is the percent of change in the number of club members?

Answers

Answer:

-60%

Step-by-step explanation:

The formula for percent change is [ x2-x1/x1 ].

10-16/10

-6/10 or -0.6

~Multiply by 100%

-0.6 * 100% = -60%

Best of Luck!

Which statement is true regarding the graphed functions?

Answers

Ducky 1 2 mini 134 delete brainly

I need help?...........

Answers

Answer:

J. 2(×-3)=22...........

Answer:

J. 2( x - 3 ) = 22

Step-by-step explanation:

All you need to do, is substitute the x with 14

2 ( x - 3 ) = 22

2 ( 14 - 3 ) = 22

use PEMDAS

2 * 14 - 2* 3 = 22

28 - 6 = 22

22 = 22

So this problem is the correct one

Hope this helped!

P.S Do you want me to show you the work for the others so you can see how I know there wrong?

The campus bookstore knows from the past several semesters that a certain elementary statistics book has a demand that is approximated by a normal distribution with a mean of 250 and a standard deviation of 40. They buy these books for $105 each and sell them to unsuspecting undergraduates at $222 each. All demand for this book is realized by the middle of the semester, at which point the bookstore bundles them up and sells them to a vendor in another country for $40 each. What is the probability of sale for the last book that the bookstore should purchase for sale to a student

Answers

Answer:

0.357

Step-by-step explanation:

The computation of the probability of sale for the last book that the bookstore should purchase for sale to a student is shown below

Probability is

= 1 - ((Cs ) ÷ (Cs + co))

= 1 - (($225 - $105) ÷ ($117 + ($105 - $40)))

= 1 - 0.6428

= 0.357

Here Cs represent the notional loss in the case when the demand is underestimated

And Co represent the notional loss in the case when the demand is overestimated

PLEASE HELP ME I AM BEING TIMED I WILL GIVE YOU BRAINILIEST!!!!!!
On a road trip a family drives 350 miles per day how many days D must they travel to reach the distance of at least 1400. Solve the inequality what does the solution represent in this situation?
(Just in case you wanted to see the question I put a picture)

Answers

No. of days taken = 1400/350Ans = 4 days

Answer:

The family will travel at least 4 days.

Step-by-step explanation:

The inequality would look like this:

350d ≤ 1400

it's ≤ because the problem said that they had to travel AT LEAST a distance of 1400.

To solve the inequality, use inverse operations.

350d ÷ 350 ≤ 1400 ÷ 350

d ≤ 4

the family will travel at least 4 days.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

The equation 22j + 8s = 150 is used to determine the number of jeans j and the number of shirts s that can be bought for $150. You purchase 5 pairs of
jeans. Select all the steps that may be used when solving for the number of shirts purchased

A Add 22 to both sides.

B. Subtract 22; from both sides.

C. Substitute 5 for j in the equation

D. Multiply both sides by 8

E Divide both sides by 8.

Answers

Answer:

C. Substitute 5 for j in the equation

Step-by-step explanation:

22(5)+8s =150

110+8s=150

8s = 40

s=5

or

110+8s=150

kingston made a pot of 29 1/2c of gumbo soup. His family ate some of the gumbo for lunch. this changed the amount of the pot by -7 3/4c. then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c. How many cups of gumbo are left in the pot?
please answer quickly!!!!!!!

Answers

Answer:

29 1/2-7 3/4 is 21.75

Then 21.75-1/2 is 21.25

Step-by-step explanation:

There is [tex]15\frac{1}{4}[/tex]c of gumbo soup left after Kingston's family ate and he shared some with his neighbor.

What is a fraction?

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Kingston made a pot of [tex]29\frac{1}{2}[/tex] of gumbo soup.

His family ate some of the gumbo for lunch. this changed the amount of the pot by [tex]-7\frac{3}{4}[/tex].

So, Reaming gumbo soup is ([tex]29\frac{1}{2} - 7\frac{3}{4}[/tex]).

= (59/2 - 31/4).

= (118 - 31)/4.

= 87/4c of gumbo soup.

Then he gave some gumbo to his neighbors. This changed the amount in the pot by -6 1/2c.

= (87/4 - 13/2)c.

= (87 - 26)/4c.

= 61/4.

= [tex]15\frac{1}{4}[/tex]c of gumbo soup.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

sam was charged $1050 in interest on a loan with a 2.5% interest rate. what was the original amount of the loan if he took 5 years to pay it back?

Answers

Answer:

$8,400=amount of loan

Step-by-step explanation:

Key:

P=Money borrowed

T=5 years (time passed)

R=0.025 (interest rate)

I=$1050 (interest charged)

Formula: I=P*R*T

Work:

1,050=P*0.025*5

1,050=P*0.125

1,050/0.125=8,400

Check

8,400*0.025*5=1,050

(thank you 7th grade math last year haha)

What is the origional price of an object if the total is 878.74 and the tax is 0.07.

My problem/find X

X × 0.07 =b
X + b =$878.78​

Answers

Answer:

The original price was $821.25

Step-by-step explanation:

The price of an object is $878.74 including a tax of 7%.

We are required to find the original price.

If the tax is 7%, then the total price is 100+7=107% of the original price.

Thus, $878.74 is the 107% of the original price x, thus:

x = $878.74/107*100 = $821.25

The original price was $821.25

Write a linear function for each line that relates to y to x

Answers

Answer:

Please check the complete explanation below.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where m is the slope and b is the y-intercept

                                       ANALYZING TABLE 1

Part A)

Given table 1

x           0            1              2            3

y           1             3              5            7

From table 1, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 1

Thus, the y-intercept is (0, 1).

From the graph, it is clear that the line W has a y-intercept (0, 1).

Therefore, table 1 represents the line W.

Part B)

Taking two points (0, 1) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-1 / 1-0 = 2/1 = 2

now substituting m = 2, and b = 1 in the slope-intercept form

y = mx+b

y = 2x+1

Thus, table 1 represents the line W with the equation line y = 2x+1

                                  ANALYZING TABLE 2

Part A)

Given table 2

x           0            1              2            3

y           0             3             6            9

From table 2, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 0).

From the graph, it is clear that line F has a y-intercept (0, 0).

Therefore, table 2 represents the line F.

Part B)

Taking two points (0, 0) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-0 / 1-0 = 3/1 = 3

now substituting m = 3, and b = 0 in the slope-intercept form

y = mx+b

y = 3x+0

y = 3x

Thus, table 2 represents the line F with the equation y = 3x

                                    ANALYZING TABLE 3

Part A)

Given table 1

x           0            1              2            3

y           2             3             4            5

From table 3, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 2).

From the graph, it is clear that line N has a y-intercept (0, 2).

Therefore, table 3 represents line N.

Part B)

Taking two points (0, 2) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-2 / 1-0 = 1/1 = 1

now substituting m = 1, and b = 2 in the slope-intercept form

y = mx+b

y = (1)x+2

y = x+2

Thus, table 2 represents the line N with the equation y = x+2

The dot plot show the heights of the players on two basketball teams

Answers

Answer:

Okay and? im confused there is no dot plot or question here...

Step-by-step explanation:

Answer:

H. Team B has a greater range in player heights than Team A has.

Step-by-step explanation:

just did the quiz


The linear regression equation for a data set is y=1.6x-4.1. If the actual value at x=3 is 0.9,
what is the residual value at x=3?

Answers

Answer:

0.2

Step-by-step explanation:

Given the regression model :

y = 1.6x - 4.1

At x = 3

Predicted value = 1.6(3) - 4.1 = 0.7

If actual value at x = 3 is 0.9

The residual value at x = 3 ;

Residual value is the difference between the actual and predicted value :

Actual at x = 3 minus predicted at x = 3

Hence, Residual = 0.9 - 0.7 = 0.2

Residual is the difference between the predicted value and the actual value of the response variable

The residual at x = 3 is 0.2

The linear regression is given as:

[tex]y = 1.6x - 4.1[/tex]

The predicted value at x = 3 is calculated by substituting 3 for x in the linear regression

So, we have:

[tex]y = 1.6 \times 3 - 4.1[/tex]

[tex]y = 4.8 - 4.1[/tex]

[tex]y = 0.7[/tex]

The actual value is given as 0.9.

So, the residual is calculated using:

[tex]Residual =Actual - Predicted[/tex]

This gives

[tex]Residual =0.9 - 0.7[/tex]

[tex]Residual =0.2[/tex]

Hence, the residual at x = 3 is 0.2

Read more about residuals at:

https://brainly.com/question/9315325

please help me urgent!!

Answers

Hey!

[tex] \sf \longmapsto S_{ 20} = \dfrac{n}{2} \times 2a + (n - 1)d \\ \\ \sf\longmapsto S_{20}= \dfrac{20}{2} \times 2(2) + (20 - 1)6 \\ \\ \sf\longmapsto S_{20} = 10 \{ 4 + 114 \} \\ \\ \sf \longmapsto \boxed{\bf{S_{20} = 1180}}[/tex]

Hope it helps :)

chris types 350 words in 4 minutes. Which equation can be used to find w, the number of words chris can type in 20 minutes if he continues to type at the same speed rate?​

Answers

Answer:

Chris will type 7,000 words in 20 minutes. You can use 350 x 20 to find your answer.

Step-by-step explanation:

Help pls I need help asap

Answers

Gywaashjjfssrtjjyytttttttttnbddu a.

Mrs. Cameron's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil. How much peanut butter should she use?

Answers

she would use 2 cups. please mark me brainliest. have a great day and good luck with school :)

Find the range of the function for the given domain.

f(x) = 3x -6;{-2,-1,0,1,2}

What is the range? Choose the correct answer below.

A. {-13, - 9,-6,-3,1)

B. {-12, - 8,-6,- 2,0}

C. {-12, - 8, -7,-2,0)

D. {-12,-9,-6,-3,0}

Answers

Answer:  D.  {-12, -9, -6, -3, 0}

=================================================

Explanation:

The domain is the set of allowed x inputs. The range is the set of possible y outputs.

The set {-2,-1,0,1,2} represents all the possible x inputs

Let's plug each of those into the equation y = 3x-6 to find the corresponding paired out puts.

Note: y = f(x), so f(x) = 3x-6 is the same as y = 3x-6.

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

If x = -2, then,

y = 3x-6

y = 3(-2)-6

y = -6-6

y = -12

We see that x = -2 and y = -12 pair up together.

The value -2 in the domain maps to -12 in the range.

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

If x = -1, then,

y = 3x-6

y = 3(-1)-6

y = -3-6

y = -9

The input x = -1 in the domain maps to the output y = -9 in the range

So far the range consists of {-12, -9} in either order.

The answer is between A and D

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

If x = 0, then,

y = 3x-6

y = 3(0)-6

y = 0-6

y = -6

So -6 is also part of the range. We have {-12, -9, -6} so far. The answer is still between A and D.

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

If x = 1, then,

y = 3x-6

y = 3(1)-6

y = 3-6

y = -3

The range updates to {-12, -9, -6, -3}

A and D are still equally valid

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

We have one more x value to try

If x = 2, then,

y = 3x-6

y = 3(2)-6

y = 6-6

y = 0

Since y = 0 is in the range, instead of y = 1, this rules out choice A

The answer is therefore D.  {-12, -9, -6, -3, 0}

Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed.

Answers

Answer:

Jada travels faster at a speed of 45mph

Step-by-step explanation:

Jada travels faster at a speed of 45mph

When you divide the overall miles from the time it takes you get the miles per hour.

Jada: 135/3= 45

Andre: 228/6= 38

Jada travels at 45mph as Andre travels at 38mph.

Hope this helps!

Answer:

45

Step-by-step explanation:

what is 1% of 73023.60

Answers

Answer:

730.236

the answer

730.236!! I’m pretty sure

Luis buys 6 pizza's for $36.90 at the Italian restaurant, how much does 1 pizza cost?

Answers

Answer:

$6.15 for 1 pizza.

Step-by-step explanation:

The answer is 6.15 because 36.90 divided by 6 is 6.15.

P.S Can I have brainliest?

One pizza is $6.15.

Which theorem, term, or corollary is represented by the picture? The bold lines in the pictures represent the hypothesis of the theorem or corollary.


A. Corollary to the isosceles triangle theorem

B. Corollary to the converse of the isosceles triangle theorem

C. CPCTC

D. Isosceles triangle theorem

E. Converse to the isosceles triangle theorem

Answers

Answer:

Pictured is the equilateral triangle with 3 sides and 3 angles being same

This should be equilateral triangle theorem, but it is not captured by answer choices

Which expression is equivalent to 2(x + 7) – 18x + 3?

Answers

Answer:-16x+17

Step-by-step explanation:

1. Using the numbers 1-20, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x +
D(x+
b) (x + (x +
2. Using the numbers 1-40, and only using a number once, fill in the blanks. There may be multiple correct answers
a) (x+2)CL_X+5) =
b) CX+ 2XL X+5) =

Answers

The answer is B because if you think about it eggs plus eggs you can really see it and you can get it and it’s really self-explanatory but OK

23 x 3 =
57 + 12 =
47 + 22 =

Answers

Use a caculater shjsjsvshjsjeveujevee
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