The height of a ball kicked into the air from the ground can be approximated by the function
h=-5t^2 + 15t, where h is the
height in meters and t is the time in seconds.
Find the time it takes the ball to hit the ground. Show all work

Answer:

433.5 cm^3

Step-by-step explanation:

The volume of a cylinder is its base area times height. Therefore it can be said that:

V = 23π x 6

This is 433.539786195, which when rounded to the nearest tenth is 433.5.

Answer:

centre : (2;3)

radius :

[tex] \sqrt{5} [/tex]

Step-by-step explanation:

the probability of making one shot is 75% or 0.75 or 3/4.

the probability to make 2 shots is then

3/4 × 3/4 = 9/16 = 0.5625

and so on.

the probability to miss 1 shot is then 25% or 0.25 or 1/4.

the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.

or the probability to miss 0 plus the probability to miss 1 shot.

anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.

the probability to make all 5 shots is

(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...

the probability to e.g make the first 4 shots and miss the 5th is

(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...

how many possibilities do we have to make 4 out of 5 shots ?

there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :

C(5,4) = 5! / (4! × (5-4)!) = 5

so, the probability to make exactly 4 out 5 shots is

81/1024 × 5 = 405/1024 = 0.395507813...

and the total probability to make at least 4 shots is

243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125

to control,

this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).

making 3 :

(3/4)³×(1/4)² = 3³/4⁵ = 27/1024

C(5,3) = 5×2 = 10

270/1024

making 2 :

3²/4⁵ = 9/1024

C(5,2) = 5×2 = 10

90/1024

making 1 :

3/1024

C(5,1) = 5

15/1024

making 0 :

1/1024

in sum

(270+90+15+1)/1024 = 376/1024

plus the 648/1024 = 1024/1024 = 1

correct.

Answer:

Mean=7

Step-by-step explanation:

Mean = Sum of numbers    = 4 + 5 + 6 + 6 + 7 + 9 + 12  = 49  =  7

           Amount of numbers                    7                            7

Answer:

2.75

Explain
1 3/5 = 8/5
3 7/16 = 55/16

8/5 x 55/ 16 = 440/80
440/80 : 2 = 5.5

5.5 / 2 = 2.75
Simple as that
You can check the calculator

Answer:

2.72

Step-by-step explanation:

1 3/5 is 1.6 and 3 7/16 is 3.4 so 1.6 x 3.4=5.44 and 5.44/2 is 2.72 sq u

Answer:

it's 19

Step-by-step explanation:

the answer it's 19

Answer:

4,000 millimeters

"Milli-" means "thousand" in terms of Latin roots. That indicates we should multiply by 1,000.

4 × 1,000 = 4,000

Answer:

a) Probability is the chance or possibility that an event will occur.

b) No,

just as the question states there is a 25% chance of this event happening in a child, so no matter the number of children they have the chances of them getting cystic fibrosis is 25% for each child and it's never guaranteed.

Answer:

y=-4

Step-by-step explanation:

graph each equation or solve by elimination/subtitution. Easiest way is using Desmos graphing calculator

Answer:

6x4=24

Step-by-step explanation:24divided by 4 is 6

First image -Pentagon(Five sides).

Second image-Equilateral triangle(All sides are equal).

Answer:

BD and BC

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

f(-4)=-(-4)-5

f(-4)=-1

g(-6)=2(-6)+3

-12+3

g(-6)=-9

add together:

-1+-9

=-10

Answer:

- [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

the slope m between the 2 points is a measure of the rate of change

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (6, 6 )

m = [tex]\frac{6-12}{6-2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex] ← rate of change

Answer:

Step-by-step explanation:

Discussion

Where does that 682 come from? It cannot be the surface area of a cube with a side of 50 inches.

The edge length is 50 inches, so s = 50

SA = 6 * 50^2

SA = 15000 in^2

Answer: So at the very minimum, you need 15000 square inches of wrapping paper.

The cash value of Jim's policy at 15 years and 25 years are equal to $9,000 and $51,000 respectively.

From the table shown in the image attached below, we can deduce that the cash value per unit for 15 years is given as:

15 years = $160.00 per unit.

Next, we would divide the face value of the policy by 1000:

Number of units = 150,000/1000

Number of units = 150.

Now, we can determine the cash value:

Cash value = 150 × 160

Cash value = $9,000.

The cash value per unit for 25 years is given as:

25 years = $340.00 per unit.

Next, we would divide the face value of the policy by 1000:

Number of units = 150,000/1000

Number of units = 150.

Now, we can determine the cash value:

Cash value = 150 × 340

Cash value = $51,000.

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Answer:

15 years = 24,000.00

25 years = 51,000.00

Step-by-step explanation:

Hey, I'll explain how you solve these.

Since the value is 150,000, this has to be divided by 1,000.

That gives us 150.

Now you multiply 150 by the 15 yr cash value, which is 160.  

This results in 24,000.00.

Since you have 150, you next need to multiply that by the 25 yr cash value, 340.

That gives us 51,000.00.

Hope it helps.  Feel free to mark Brainliest.  

The algebraic expression for twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).

An algebraic expression can be used to model word problem or a situation with the use of variables, operation signs and numbers.

Difference is minus (-)

Let n represent the unknown number.

Thus, twice difference of a number (n) and 6 is expressed algebraically as, 2(n - 6).

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Answer:

A,C,D,E is the answer

Answer: 2 1/4

Step-by-step explanation: theirs 2 whole so with that theirs another circle cut in 4th's and 1 is shaded so 1/4.

Answer: choice c , 2 and 1 over 4

Step-by-step explanation: as the first 2 circles are fully shared but only one 1 over 4 from the third circle is shaded so 2 and 1 over 4 as a mixed numbers . Which means 2 full circles and 1 over 4 of the third circle . HOPE IT HELPS YOU .PLEASE GIVE BRAINLIEST .THANKS .

Answer: Its A i think, if not its C

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

8.2 x 10'4 = 82,000

10'4 = 10,000 x 8.2 = 82,00

4.5 x 10'5 =

10'5 = 100,000 x 4.5 = 450,000

(Over all, the second equation is greater giving you answer B. as the missing equation symbol)

Hope this helps!!

Answer:

(12, 9)

Step-by-step explanation:

This task simply requires the completion of the table using simple mathematical functions on the header of each column.

This refers to a collection of mathematical rules using mathematical operators that contain dependent and independent variables.

In this case, the rule of BODMAS comes to bear. See the full and completed table attached.

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1³ + 2³ + 3³

1 + 8 + 27

36

hope it helps..!!!

Missing image below:

Answer:

Cupcakes     Prices

   5               $7.50

   12              $18

   18              $27

Step-by-step explanation:

Given:

The double number line shows the price of 1 cupcake.

To Find:

Complete the table to show the same information as the double number line.

Solve:

Base on the 1st image:

1 cupcake costs $1.5.

Therefore, we can use the rule of three to complete the table.

If 1 cupcake costs $1.5 then 5 cupcakes would be $1.5 × =$7.50

And 18 cupcakes would be $1.5 × 18 =$27.

Then, 18  ÷ 1.5 = 12

As a result,  12 cupcakes costs $18.

Final Table:

Cupcakes     Prices

   5               $7.50

   12              $18

   18              $27

Kavinsky

The solution is

The price of 5 cupcakes = $ 7.50

The number of cupcakes for $ 18 = 12 cupcakes

The price of 18 cupcakes = $ 27

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The number line shows the price of one cupcake

The price of 1 cupcake = $ 1.50

So ,

The price of 5 cupcakes = 5 x price of 1 cupcake

Substituting the values in the equation , we get

The price of 5 cupcakes = 5 x 1.50

The price of 5 cupcakes = $ 7.50

And , the number of cupcakes that can be bought for $ 18 is

Number of cupcakes for $ 18 = 18 /  price of 1 cupcake

Substituting the values in the equation , we get

Number of cupcakes for $ 18 = 18 / 1.5

Number of cupcakes for $ 18 = 12 cupcakes

And , the price of 18 cupcakes is = 18 x price of 1 cupcake

Substituting the values in the equation , we get

The price of 18 cupcakes = 18 x 1.5

The price of 18 cupcakes = $ 27

Hence , The price of 5 cupcakes = $ 7.50

The number of cupcakes for $ 18 = 12 cupcakes

The price of 18 cupcakes = $ 27

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Answer:

87

Step-by-step explanation:

common difference = d  = 2

an = a1 + (n-1)*d

a43 = 3 + 42*2  = 87

Answer:

Step-by-step explanation:

Are the outcomes on the two cards independent? Why?

Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card.     No. The events cannot occur together. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

The answer will be option D {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

The probability is defined as the chances of happening of any random event. or the possibility of happening of any event is called as the probability.

It is given in the question that there are two colours in the spinner and the dice have 6 faces from {1 to 6} numbers on it.

The sample outcomes with the spinner and the dice will be as follows:-

S= {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

Hence  answer will be {(R,1),(R,2)(R,3)(R,4(R,5)(R,6),(B,1)(B,2)(B,3)(B,4)(B,5)(B,6).

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Answer:

B:21

Step-by-step explanation:

Area of parallelogram=315=base ×hight .

base =x

hight= 15

15 × x = 315

x= 315/15

=21

We need indirectly m<POQ

See NR is a straight line so the three angles situated underneath are linear pair and supplementary

m<POQ

Answer:

C)  35°

Step-by-step explanation:

From inspection of the given diagram, it appears that the line segment NOR is the diameter of the circle (where point O is the center).

Angles on a straight line sum to 180°

⇒ ∠NOP + ∠POQ + ∠QOR = 180°

⇒ 82° + ∠POQ + 63° = 180°

⇒ ∠POQ = 180° - 82° - 63°

⇒ ∠POQ = 35°

As an arc measure equals its corresponding central angle measure:

[tex]\sf \implies \overset{\frown}{PQ}= \angle POQ[/tex]

[tex]\sf \implies \overset{\frown}{PQ}=35^{\circ}[/tex]

Step-by-step explanation:

there were in total 24 students (asked) in the class.

3 have a brother and a sister (and I assume this means "at least one" in either category).

15 have (at least) a brother but no sister.

4 have no brother but (at least) a sister.

2 have no brothers and no sisters (they are "only children").

a probability is always

desired cases / possible cases.

so, when picking a student randomly, we have 24 possibilities.

out of these 24 there are only 2 that are an "only child".

therefore, the probability to pick an "only child" is

2/24 = 1/12 = 0.083333333...

The population after 516 minutes is 171360 bacteria

From the question, we have the following parameters that can be used in our computation:

Initial, a = 10,710 bacteria

Rate = doubles i.e. 2

Using the above as a guide, we have the following:

f(x) = a(2)^x

Where x is the time

516 minutes is 4 times 129 minutes

This means that

x = 516/129 = 4

So the population after 516 minutes can be calculated as follows:

f(4) = 10710 * (2)^4

Evaluate

f(4) = 171360

Hence, the population is 171360

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