The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

A two column table with 6 rows. The first column has, Time in seconds, and has the entries, 0, 1, 2, 3, 4. The second column, Velocity in meters per second, has the entries, 0, 9.8, 19.6, 29.4, 39.2.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

4.9 9.8 StartFraction m Over s squared EndFraction.
9.8 9.8 StartFraction m Over s squared EndFraction.
10.2 10.2 StartFraction m Over s squared EndFraction.
19.6 19.6 StartFraction m Over s squared EndFraction.

Answer:

1584

Step-by-step explanation:

Distribution of cards in a deck:

Total number of cards = 52

Total number of cards drawn = 5

Sampling without replacement :

Number of Aces = 4

Number of kings = 4

Card different from Aces and kings = total cards - (4 + 4) ;

52 - 8 = 44 cards

(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)

Using combination :

4C2 * 4C2 * 44C1

Using calculator :

6 * 6 * 44

= 1584

Answer:

2x+30 = 90 (Choice A)

Answer:

The sum of two numbers is 240. The larger number is 6 less than twice the smaller. Find the numbers.

----------

Let the smaller be "x" ; Larger is "2x-6"

EQUATION:

x + 2x-6 = 240

3x= 246

x = 82 (smaller)

2x-6 = 158 (larger)

Step-by-step explanation:

Answer:

160 and 80

Step-by-step explanation:

9514 1404 393

Answer:

  a) $42.35

  b) $5124.56

  c) $407.44

Step-by-step explanation:

a) The interest due is that for one month on the remaining balance:

  I = Prt

  I = $5082.21·0.10·1/12 = $42.35

__

b) The final payment is ...

  $5082.21 +42.35 = $5124.56

__

c) Had Hudson continued paying, he would have paid ...

  20·$276.60 = $5532.00

So, he saved ...

  $5232.00 -5124.56 = $407.44

Answer:

y=1+5

Step-by-step explanation:

b is the y intercept and 1 is the slope gradient

Answer:

[tex]P_D=61.1*10^{-4}[/tex]

[tex]R_r=480[/tex]

Step-by-step explanation:

From the question we are told that

Homicide rate in US [tex]R_U=62.4\ per\ one\ million[/tex]

Homicide rate in Britain [tex]R_B=1.3\ per\ one\ million[/tex]

Generally the equation for probability of homicide is mathematically given as

[tex]P=\frac{R}{10^6}[/tex]

Generally the equation for probability of homicide in US is mathematically given as

[tex]P_U=\frac{62.4}{10^6}[/tex]

[tex]P_U=62.4*10^{-4}[/tex]

Generally the equation for probability of homicide in Britain is mathematically given as

[tex]P_B=\frac{1.3}{10^6}[/tex]

[tex]P_B=1.3*10^{-5}[/tex]

a)Generally the difference b/w the probabilities P_D is mathematically given as

[tex]P_D=P_U-P_B[/tex]

[tex]P_D=62.4*10^{-4}-1.3*10^{-5}[/tex]

[tex]P_D=61.1*10^{-4}[/tex]

Therefore US annual homicide is [tex]P_D=61.1*10^{-4}[/tex] greater than Britain's

b)Generally the Relative risk is R_r is mathematically given as

[tex]R_r=\frac{P_U}{P_B}[/tex]

[tex]R_r=\frac{62.4*10^{-4}}{1.3*10^{-5}}[/tex]

[tex]R_r=480[/tex]

Answer:

x=9

Step-by-step explanation:

-2x+6=x-3

-1x+6=-3

-1x=-9

divide both sides by -1

x=9

hope this helps

Answer:

Step-by-step explanation:

Given system:

Substitute y and solve for x:

Find y:

Solution is:

Answer:

Step-by-step explanation:

I think the answer is none of the above

The game is formed such that a duck is either winning duck or a non winning duck .

there is no other result for any duck present in the game .

Also choosing a duck is a fair game it is independent of any prior situation .

here we would be using a basic probability formula , that is

Probability of a result = number of items in favour of that result divide by total number of items present in the game .

Answer:

TS=22

Step-by-step explanation: Since we know the triangles are proportional, we need to set up an proportion to find TS. First, let find which sides are correspond with each, TS and MN does and US and NQ does. So we set up a proportion that includes.

TS/US=MN/NQ: Let plug in the numbers

3x+1/26=5x-2/39:  Then cross multiply

39(3x+1)=26(5x-2): Then simplify

117x+39=130x-52: Subtract 117x from both sides

39=13x-52: Add 52 to both sides

  91=13x: Divide 13 by both sides

  7=x: Then plug it in to TS

3(7)+1=22

Answer: Margin of error = 1932

Step-by-step explanation: Margin of Error is the amount of variation a survey's results have. In other words, it is understood as the measure of variation one can see if the same survey was taken multiple times.

Margin of error is calculated as [tex]z\frac{\sigma}{\sqrt{n}}[/tex]

z is z-score related to the percentage of confidence, in this z = 2.576

σ is population standard deviation

n is how many individuals are there in the sample or population

With a new level of confidence of 99%:

ME = [tex]2.576.\frac{4500}{\sqrt{36}}[/tex]

ME = 2.576(750)

ME = 1932

The new margin of error would be 1932.

Answer:

16800

Step-by-step explanation:

since the equaltiuon is 16.8*1000

1 kg = 1000 grams.

16.8 kg x 1000 = 16,800 grams

Answer:

5

3+5 2×2 -7

8+4-7

12-7

5

^^^^

Answer:

the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9

Step-by-step explanation:

Answer:

[tex]\frac{4}{5} .\frac{4}{5} .\frac{4}{5} =\frac{64}{125}[/tex]

Step-by-step explanation:

An "exponential form" is being used for "repeated multiplication." The value of [tex](\frac{4}{5} )^3[/tex] is equal to [tex]\frac{4}{5}[/tex] being repeatedly multiplied by itself.

Choice A is incorrect because it is an addition of fraction and also an incorrect way of adding the numerators. Choice C is also incorrect because it also used the addition operation. Choice D is incorrect because it repeatedly multiplied the reciprocal of [tex]\frac{4}{5}[/tex], which is [tex]\frac{5}{4}[/tex], instead of the fraction itself.

Answer:

y = -4x - 1

Step-by-step explanation:

Answer:

either at -21 or 3

Step-by-step explanation:

we know that the length is a total of 12 so it either goes 12 spaces to the left or to the right of -9

-9 - 12 is -21 and -9 + 12 is 3

Answer:

160

Step-by-step explanation:

First, lets assign a varible x. Let x be the number where 75% of x is 120. Next, we can convert the words of the problem into an equation. Now we have, 75% * x = 120 = 0.75x = 120. By multiplying both sides by 100, we get, 75x = 12000. So, x = 160.

Answer:

Yes, she is correct

Step-by-step explanation:

All you really have to do is multiply 1/5 and 3/4. We can separate her backyard in 5 equal parts. In one of those parts, we have her garden, and we break it down into 4 pieces, and make three of those tomato gardens. Now if we break all 5 parts of her backyard into 4 pieces, we can double check our answer, and see that there are 20 pieces, but only 3 have tomatoes. Of course, that's only to double check, but you could also use this method as a model.

Answer:

False

Step-by-step explanation:

A right triangle has all side lengths the same

Answer: give me brainliest now

Step-by-step explanation:

Answer:

62.48 ft.

Step-by-step explanation:

Initial height: 50 ft.

First rebound: 10 ft.

Second rebound: 2 ft.

Third rebound: 0.4 ft.

Fourth rebound: 0.08 ft.

If we approximate the fourth rebound to zero, we'll have:

50 + 10 + 2 + 0.4 + 0.08 = 62.48 ft.

Answer:

4.5833feet

Step-by-step explanation:

Given the elevation of a water pipe as 4 7/12 feet

Expressing as decimal

4 7/12  

= 4 + 7/12

=  4 + 0.5833

= 4.5833

Hence the elevation of the pipe expressed as a decimal is 4.5833feet

Answer:

(-4;2)

Step-by-step explanation:

1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;

2. if x+4y=4, it is possible to re-write it as x+4y-4=0;

3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.

4. if y=2, then it is possible to substitute its value into any equation given in the condition:

x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.

5. finally x= -4; y=2. It means (-4;2)

PS. the suggested solution is not the only way to resolve this task.

Answer

theres nothing there

Step-by-step explanation:

You prob forgot to provide one