1. the height of a water bottle in a bathtub, w, is a function of time, t. Let P represent this function. Height is measured in inches and time is in minutes.
match each statement in function with a description.
A: P(0)=0

1. after 20 minutes, the bathtub is empty

2. the bathtub starts out with no water

3. the height of the water is 4 inches

4. the height of the water is 10 inches after 4 minutes.

Answer:

Brand A

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

Brand A

V = [tex]\frac{1}{3}[/tex]π × 6² × 15 = [tex]\frac{1}{3}[/tex]π × 36 × 15 = π × 12 × 15 = 180π in³

Brand B

V = [tex]\frac{1}{3}[/tex]π × 5² × 18 = π × 25 × 6 = 150π in³

Brand A have the largest volume

Answer:

28 hey hello how you doing the answer is 28

Answer:

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 175

Given that the standard deviation of the Population = 6

Let 'x⁻' be the mean of the random sample

Given that  x₁⁻ = 173

[tex]Z_{1} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{173-175}{\frac{6}{\sqrt{60} } } =-2.58[/tex]

Given that  x₂⁻ = 174

[tex]Z_{2} = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } } = \frac{174-175}{\frac{6}{\sqrt{60} } } = -1.29[/tex]

Step(ii):-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(X₁≤X≤X₂)      = P(Z₁≤Z≤Z₂)

                       = P(Z≤Z₂) - P(Z≤Z₂)        ( both values 'Z' values are negative)

                       = 0.5 -A(Z₁) - (0.5 -A(Z₂))

                      = |A(Z₂) -A(Z₁)|

P(173≤X≤174)     =   | A(2.58)-A(1.29)|

                  = 0.4951 - 0.4015       (∵ from normal table)

                = 0.0936

Final answer:-

The probability that the mean of this sample of home purchases is between 173 and 174 homes

P(173≤X≤174) = 0.0936

Answer:

18 Skittles

6 M&Ms

Step-by-step explanation:

Set up an equation:

Variable x = number of skittles

Variable y = number of M&Ms

1.50x + 2y = 39

x + y = 24

In the second equation, isolate a variable:

x = 24 - y

Substitute the value of x for 24 - y in the first equation:

1.50(24 - y) + 2y = 39

Use distributive property

36 - 1.5y + 2y = 39

Combine like terms

36 + 0.5y = 39

Isolate variable y:

0.5y = 3

y = 6

Substitute the value of y for 6 in the second equation:

x + 6 = 24

Isolate variable x:

x = 18

Plug these values into any equation of your choice to see if these values are correct (I'll do both equations just to prove it):

1.50(18) + 2(6) = 39

27 + 12 = 39

39 = 39

Correct

x + y = 24

18 + 6 = 24

24 = 24

Correct

Answer:

Maximum, and (0, -2)

Step-by-step explanation:

Answer:

2879ft

Step-by-step explanation:

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle  

10

∘

.

We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :

Answer:

y = 15x

Step-by-step explanation:

For every flower pot purchased (y), the quantitity of the price (x) will go up by $15.

Answer:

y = 15x

Step-by-step explanation:

The equation for the line of reflection is x = 6

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given that, a graph, we need to find the equation of the reflection of the polygon graphed,

We can see, all the vertices on the polygon are being mirrored across the line x = 6.

So, we can say the line of reflection is x = 6.

Hence, the equation for the line of reflection is x = 6

Learn more about equations, click;

https://brainly.com/question/29657983

#SPJ7

Answer:

D. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate (in beats per minute) of the group of adult males is 69bpm.

Step-by-step explanation:

Hypothesis testing is used in statistics to confirm the validity of a statement or observation. Null hypothesis is the original observation for which the test is being conducted. Alternative hypothesis is set against the null hypothesis to reach a conclusion whether to accept or reject the null hypothesis. In the given scenario there is sufficient evidence to reject the null hypothesis.

Answer:

A

Step-by-step explanation:

Answer:

y = -2x + 8

x = 3

y = x - 1

y = 2

Step-by-step explanation:

if 2x + y = 8 and x - y = 1

you can solve using substitution, elimination, matrix etc.

You will find that x = 3 and y = 2

Hope this helped.

Answer:

8 laps in 70 seconds is faster.

Step-by-step explanation:

If we divide 70/8 and 98/12 we get the following:

70/8= 8.75

98/12=8.16

8.75>8.16

The unit rate is 1 lap in 8.75 seconds and 1 lap in 8.16 seconds

Answer: 40% i think

Step-by-step explanation:

12.50 dollars per hour

Answer:

$12.50

Step-by-step explanation:

Hi,

Cassie: 250 / 20 = 12.5

Marli: 312.50 / 25 = 12.5

Brad: 350 / 28 = 12.5

Each worker makes $12.50 per hour.

I hope this helps :)

Answer:

A

Step-by-step explanation:

-0.2 translates to -2/10 and then simplifies to -1/5 so you would minus it from the bigger number which is 3/5 because its positive.

Answer:

A x<1125

Step-by-step explanation:

Answer:

x = -1 /2= -0.5 y = 15 /10= 1.5

Answer:

C) -6/12

Step-by-step explanation:

Sana nakatulong

Answer:

65,760

Step-by-step explanation:

move decimal over two places to make a percent a decimal so .37

then multiply that times the 48000 to get 17,760 and then add that to the original 48000 to get 65,760

Answer:

1,250 millileters

Step-by-step explanation:

The computation of the number of milliters of the sports drink left is shown below:

Given that

The 2-liter sports drink is purchased

And, drank 250 millimeters and than drank one-half liter of the drink

Now convert liter to millileter

1 litre = 1000 milliliter.

2 liters = 2 × 1000 milliliters.

= 2000 milliliters.

Now the left drink would be

= (2000 - 250) - (250 × 2)

= 1,750 - 500

= 1,250 millileters

Answer:

6/4 or 1 2/4

Step-by-step explanation:

hope this helps

Answer:

1.5

Step-by-step explanation:

3/4 ÷ 1/2

= 3/4 x 2

= 6/4

= 3/2

= 1.5

Complete question :

Determine the probability that two pears are selected The probability is(Simplity your answer.)

d) Determine the probability that a card containing a PEAR and then a card containing a question mark are selected

Answer:

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

Step-by-step explanation:

Given :

Marking on card :

Question mark = Q

Pear = P

Moon = M

Selecting two cards with replacement :

Sample space :

_____ Q ____ P _____ M

Q ___QQ ___QP ___ QM

P ___QP ____PP ___ MP

M__ QM ____PM ___MM

(QQ, QP, QM, QP, PP, MP, QM, PM, MM) ;

1/9 ;

2/9

P(selecting 2 pears) = (PP)

P(p) = required outcome / Total possible outcomes = 1 / 9

Card containing a pear and then a question mark ;

(PQ or QP).

P(p) = 1/3 ; P(Q) = 1/3

P(PQ) + P(QP)

(1/3 * 1/3) + (/3 * 1/3)

1/9 + 1/9

(1 + 1) / 9

= 2/9

Answer:

y=5000(1.04)^t

Step-by-step explanation:

Given data

Cost of painting=$5000

Rate of increase=4%

the exponential increase expression is

y=P(1+r)^t

      Where y= the total amount after growth

                  P= the initial cost of the painting

                  r= the rate of increase

                  t= the time interval

y=5000(1+0.04)^t

y=5000(1.04)^t

Answer:

3x+y=13

+2x-y=12

SOlve it like what you would normally do

3x+2x=5x

y+(-y)=0

13+12=25

Basically

5x+0=25

Bring down all appropiate signs

Now solve that

5x=25

x=5

Now to find “y”

Plug in The “x”

3*5=15

15+y=13 now solve that and you’d get -2

If you plug it into the other one, it would be the same thing

2*5=10

10-y=12

-y=2

y= -2

x=5

y= -2

Answer: javier is taller

Step-by-step explanation:

68inches=5' 8"