Brittany’s Hot Tub. When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 minutes there are 11 inches of water in the tub. Assume that the height is decreasing at a constant rate.
a. Write an equation for the height of water left in the tub (h) as a function of the number of the minutes (t) that have elapsed.
b. How high is the tub when it is full?
c. After how many minutes will the tub be empty?
d. What values of the domain, t, make sense? Why?
e. What values of the range, h, make sense? Why?

Answers

Answer 1

Answer:

a. h = -2t + 29

b. 14.5 inches (not sure)

c. 5 1/2 minutes

d. The domain means the amount of time elapsed.

e. The value of h means the height of the water left

Step-by-step explanation:


Related Questions

Need help with some math

Answers

Answer:

A

Step-by-step explanation:

Desnity: mass/volume

3/20= .15

If x + x = 9, then x =

Answers

X= 4.5 because 4.5+4.5=9

Answer: x = 4.5

Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.

  x + x = 9

  2x = 9

÷2    ÷2

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

 x = 4.5  

x + x = 9

4.5 + 4.5 = 9

In total, 28 chickens and pigs were on a farm. In total, there are 90 feet. How many chickens? How many pigs?

Answers

Answer:

17pigs and 11 chicken  

Step-by-step explanation:

PLZ HELP LIMITED TIME

Answers

Answer:

32

Step-by-step explanation:

What is the solution to the system of equations ?
Y=2/3 x + 3
X= - 2

Answers

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

what is the value of the expression (-2 1/2 -7) -6 1/2

Answers

Answer:

-2

Step-by-step explanation:

If you need the work let me know but that should be correct! Good luck :)

Factor completely 25x^4y^6 − 1

Answers

Answer:

(5x2y3+1)(5x2y3−1)

Step-by-step explanation:

In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)

Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).

Find the measure of CD⎯⎯⎯⎯⎯⎯⎯⎯.

A. 8
B. 6
C. 5
D. 7

Answers

Answer:

Using the property of intersecting secant:-

[tex](DE)(CE)=(FE)(LE)[/tex]

[tex](4)(x-1+14)=(5)(x-4+5)[/tex]

[tex]4(x+3)=(5x+1)[/tex]

[tex]4x+12=5x+5[/tex]

[tex]4x+-5x=5-12[/tex]

[tex]-x=-7[/tex]

[tex]x=7[/tex]

[tex]So, CD=x-1=7-1=6[/tex]

[tex]so,~your ~answer ~is ~B) ~6[/tex]

----------------------------hope it helps...have a great day!!

By intersecting secants theorem, the measure of CD is 6 units.

What is intersecting secants theorem?

The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.

For the given situation,

The diagram shows the circle with the two secants intersecting at the exterior point.

By intersecting secants theorem,

[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)

Here, CE = CD + DE

⇒ [tex]CE = (x-1)+4[/tex]

DE = 4

LE = LF + FE

⇒ [tex]LE = (x-4)+5[/tex]

FE = 5

On substituting the above values in 1,

⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]

⇒ [tex](x+3)(4)=(x+1)(5)[/tex]

⇒ [tex]4x+12=5x+5[/tex]

⇒ [tex]5x-4x=12-5[/tex]

⇒ [tex]x=7[/tex]

Thus CD = [tex]x-1[/tex]

⇒ [tex]7-1=6[/tex]

Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.

Learn more about intersecting secants theorem here

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Question and choices are in the photo please explain the answer

Answers

Answer:

[tex]\text{A) }68\:\mathrm{cm}[/tex]

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a [tex]90^{\circ}[/tex], creating right triangles [tex]\triangle TOP[/tex] and [tex]\triangle SOP[/tex].

The Pythagorean Theorem states that the following is true for any right triangle:

[tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or the longest side, of the triangle

Thus, we have:

[tex]10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24[/tex]

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

[tex]TP=SP=24[/tex][tex]TO=SO=10[/tex]

Thus, the perimeter of the quadrilateral PTOS is equal to [tex]24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}[/tex]

Answer:

the other one should get a brainliest.

I'm just answering to make it technically possible.

find the value of x in the equation 4x-2=2x+10​

Answers

Answer:

x = 6

Step-by-step explanation:

Given

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

The groundskeeper filled the first sandbox with sand to a height of 6 inches. What is the volume,
in cubic feet, of the sand that was used to fill the first sandbox to a height of 6 inches? Show or explain
how you got your answer
Enter your answer and your work or explanation in the space provided

Answers

Answer:

you didnt provide the other 2 measurements, its length x width x height for volume

What are the roots of the equation 9x^2-42x+50=0 in simplest a+bi form?

Answers

Answer:

-7/3 +\- 1/3i

Step-by-step explanation:

Help! I got 3,593 but that doesn’t make sense

Answers

Because the number increase by a percentage this is an exponential growth problem.

The equation for exponential growth is :

Total = start value x ( 1 + percent) ^ time

Using the information from the problem:

2011-2005 = 6 years.

Total = 23 x (1 + 0.72)^6

Total = 23x 1.72^6

Total = 595.52 = 596 total people

Which expression is equivalent to - 5 over 3

Answers

Where are the answer choices?

PLS HELP ME SOLVE THIS
2a × 3

Answers

Answer:

The answer will be 2a×3=6a

the answer is 2a•3= 6a

Belinda gets 1 3/4 h for lunch. She spends 1/3 of her lunch walking for exercise. How much time does Belinda spend walking ?

This unit is operations and fractions how would I solve this?​

Answers

35 minutes. 1 3/4 hour would be converted to 105 minutes. And then one third of that is 35. So 35 minutes is your answer.

Answer:

7/12 h

Step-by-step explanation:

1/3 of 1 3/4  =  1/3 of 7/4 = 1/3 x 7/4  =  7/12 h

SOMEONE ONE PLEASE HELP

Answers

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2​

Answers

Answer:

-1/5

Step-by-step explanation:

i think thsts correct answer if not the answer is 1/2

The question is in the pic.

Answers

Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money

Translate this sentence into an equation. 46 is the sum of 21 and Mabel's savings.

Answers

You have to add 21 by M to get the answer that you are looking for

What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply.

Answers

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

Arrange the value into the ascending order:

[tex]62, 88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the Range:

[tex]= Greatest - Lowest\\\\= 100 - 62\\\\ = 38[/tex]

Outlier =  This might be the value "far" from other data values= 62

The range of scores would be, sans outlier,

 [tex]88, 89, 90, 92, 95, 96, 98, 100, 100[/tex]

Calculating the range without outlier [tex]= 100 - 88 = 12[/tex]

Inter Quartile Range [tex]= Q_3 - Q_1[/tex]

[tex]IQR = 98 - 89 = 11[/tex]

Calculating the IQR without outlier [tex]= 99 - 89.5 = 9.5[/tex]

Therefore,

Option a is "True".

Option b is "True".

Option c is "True".

Option d is "False".

Option e is "False".

Option f is "True".

1. If two lines are parallel, then the slopes of the lines would be...
A. opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic

2. If two lines are perpendicular, then the slopes of the lines would be...
A. Opposite
B. Reciprocals
C. Equal
D. Opposite Reciprocals
E. Binomials
F. Quadratic

Answers

1. Slope of the lines would be equal

What is the factored form of 6n4 – 2413 + 18n?
ово
Bn(n° +4nº +31)
Bn(-° +30
6n(n°-4n2+3)
o Bn(n° +4n? +3)
O

Answers

the third option
6n(n3-4n2+3)

Option C is correct, 6n(n³-4n²+3) is the  factored form of expression 6n⁴ – 24n³ + 18n

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 6n⁴ – 24n³ + 18n.

Six times of n power four minus twenty four times of n cube plus eighteen times of n.

6n⁴ – 24n³ + 18n.

Now we have to find the factored form of 6n⁴ – 24n³ + 18n.

Take 6n as common

6n(n³-4n²+3)

Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n

To learn more on Expressions click:

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Find (4.0×105)÷(5.89×102) by using a calculator. Give your answer in scientific notation and round to two decimal places.

Answers

Answer: [tex]7\times 10^{-1}[/tex]

Step-by-step explanation:

Given

[tex](4.0\times 105)\div (5.89\times 102)[/tex]

First solve the brackets part in calculator, we obtain

[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]

There is 1 box of plain yogurt with 18 yogurt cups. There are 4 boxes of fruit yogurt each with c yogurt cups. Represent this situation with a picture or diagram.​

Answers

Hope this helps :D
(The number or letter written inside is the number of cups)

7.) Evaluate the expression.
12 - 3V 25

Answers

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

are the triangle similar
1-yes
2-no

Answers

1 (yes)
Step by Step Explanation:
This is because the interior angle of any triangle adds up to 180 degrees. If two angles of the triangles are equal in the same angle, such as angles GOT and NUF are both 97. Additionally it can be pictured that if the triangle TOG were to be flipped 180 degrees, it would resemble triangle FUN

Answer:

yes the triangle are similar

(2x - 3)(4 - 3x) find the product of binomials

Answers

Answer:

6x²+17x-12

Step-by-step explanation:

(2x-3)(4-3x)

8x-6x²-12+9x

Reorder.

6x²+9x+8x-12

Combine like terms.

6x²+17x-12

---

hope it helps

one month Laura rented 3 movies and 2 video games for a total of 22$. The next month she rented 5 movies and 6 video games for a total of $52. Find the rental cost for each movie and each video game.

Answers

Step-by-step explanation:

24$

Solve this system of equations using the ELIMINATION method.

3x - 2y = 1

2x + 2y = 4

Answers

hope this helps please like and mark as brainliest

Answer:

x = 1

y = 1

Step-by-step explanation:

3x - 2y = 1

2x + 2y = 4

3x - 2y + 2x + 2y = 1 + 4

3x + 2x = 5

5x = 5

5x ÷ 5 = 5 ÷ 5

x = 1

2x + 2y = 4

2(1) + 2y = 4

2 + 2y = 4

2 - 2 + 2y = 4 - 2

2y = 2

2y ÷ 2 = 2 ÷ 2

y = 1

Check:

3x - 2y = 1

3(1) - 2(1) = 1

3 - 2 = 1

x and y being 1 works for the first equation.

2x + 2y = 4

2(1) + 2(1) = 4

2 + 2 = 4

x and y being one works for both equations.

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