Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. what is the range of this function

Answers

Answer 1

Answer:

raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)

thus, rate of draining of water gallons per minute = -1.5

amount of water remaining in the bathtub = y,

the function of the time in minutes that it has been draining = x, .

at 0 minutes the amount of water is 40 gallons.

thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute

the given function is a linear function  

y = 0

however, the volume of water can be 0 but cannot ever be negative.

thus, the range of y will be all real numbers such that 0≤y≤40

Step-by-step explanation:

Answer 2

Answer:

y = 0

Step-by-step explanation:

i took test


Related Questions

Find the gradient of the line l1 which has equation 4x-3y+5=0 .

Answers

Answer:

The gradient is the same as the slope. To find the slope, let's convert this from standard form to slope-intercept form.

4x - 3y + 5 = 0

4x + 5 = 3y

4/3x + 5/3 = y therefore the answer is 4/3.

A grocer wants to make a 10-pound mixture of berries and chocolate that he can sell for $3.48 per pound. If chocolate cost $5.40 per pound and berries cost $2.20 per pound, how many pounds of berries must he include in the mix?

Answers

Answer:

9

Step-by-step explanation:

Since he only has to buy one pound of chocolate to make it a berry chocolate mix, he can just put 9 pounds of berries into it. Why would he want to break even? Make some profits grocer or you are not going to be in that house for very long.

plz help!! tell me which ones you solve

Answers

Answer:

Step-by-step explanation:

17)-8(5-n)=-96

 -8*(5-n)-(-96)=0

 (0 -  8 • (5 - n)) -  -96  = 0

 8n + 56  =   8 • (n + 7)

 8 • (n + 7)  = 0

Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    n+7 = 0  

Subtract  7  from both sides of the equation :  

                     n = -7

n = -7 is your answer

Bryce orders the following items from a catalog. What is the total price he charges to his credit card if the sales tax is 6 percent and nontaxable shipping costs $5 for the order? Round to the nearest cent if necessary. Item Amount Shorts $14.00 Soccer ball $25.00 Shin guards $10.00 Cleats $60.00 $104.94 $109.94 $115.54 $120.54

Answers

6% of $14.00=$0.84 so the total cost of shorts=$14.84

6% of $25.00=$1.50 so the total cost for soccer ball=$26.50

6% of $10.00=$0.60 so the total cost of shin guards=$10.60

$60.00+$104.94+$109.94+$115.54+$120.54=$510.96

36% of $510.96=$183.95 so the total cost of cleats=$694.91

694.91+$10.60+$26.50+$14.84=$746.85

$746.85+$5=$751.85

Answer:

its option d $120.54

Step-by-step explanation:

ALSOOOO a braddison shipper :)

4. 5. 6. None of the choices are correct.

Answers

Answer:

A. 4

Step-by-step explanation:

Triangle ABD = Triangle BCD

Both hypotenuse are equal in length.

x + 2 = 3x - 6

x - 3x = -6-2

-2x = -8

x = 4

Hi !!

Find the value of x :

We have :

• x + 2

• 3x - 6

Match the values to find x :

x + 2 = 3x - 6

x - 3x = -6 - 2

-2x = -8

x = 8/2

x = 4

* 4 + 2 = 3(4) - 6

6 = 12 - 6

6 = 6

Equality is checked, it is an isosceles triangle

Both the correct value is 4.

4x+23=9x-7
Solve for x

Answers

Answer:

x = 6

Step-by-step explanation:

4x + 23 = 9x - 7

23 = 9x - 4x - 7

23 + 7 = 5x

30 = 5x

30 ÷ 5 = x

6 = x

x = 6

29. one of the following has always two points of parallel sides
A. Quadrilateral
B. Triangle
C. Rhombus
D. Pentagon​

Answers

Answer:

c

Step-by-step explanation:

only rhombus satisfied the question

Answer:

C, Rhombus.

Step-by-step explanation:

A rhombus has 2 pairs of parallel sides. Also a rhombus has 4 congruent sides.

The tip jar at a sandwich shop has been found to have a dollar value 0.65h + 1.25, where h is the number of
hours since the shop opened.
a. By how much is the value of the tip jar increasing per hour?

Answers

Answer:

H is showing how the amount of the tip jar is increasing over time

Step-by-step explanation:

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (t circle s) (x)?

Answers

Answer:

Its B

Step-by-step explanation:

Answer:B 4(x – 7)2 – (x – 7) + 3Step-by-step explanation: got it ridgt on test

Put the following numbers in ascending order.
A.540 g
B.180,000 mg
C.0.8 tonnes
D.2.3 kg

Answers

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7 Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction

Answers

Answer:

Option D.

Step-by-step explanation:

The given expression is

[tex]\dfrac{(5ab)^3}{30a^{-6}b^{-7}}[/tex]

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

[tex]\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}[/tex]     [tex][\because (ab)^m=a^mb^m][/tex]

[tex]\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}[/tex]

[tex]\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}[/tex]    [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{25}{6}\times a^{3+6}\times b^{3+7}[/tex]

[tex]\dfrac{25a^9b^{10}}{6}[/tex]

Therefore, the correct option is D.

Answer:

The correct option is D

Step-by-step explanation:

Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?Which is the best reason that a geologist might carry a small dropper bottle filled with hydrochloric acid when doing fieldwork?

Answers

Answer:

"To search whether carbonate mineral content in another material" is the right answer.

Step-by-step explanation:

We want it just because it lets them better examine the calcareous. Once before in interaction against carbonate minerals, any drop of hydrogen peroxide can splash. Those who add this one to the fluid or acidic solution to see how resources respond that makes them know through substances where certain rocks can indeed be contained. Commonly aspects like calcite assistance and guidance.

So that the above is the right answer.

1. A bag contains 12 mangoes, of which 4 are not ripe.
What is the chance of picking at random a ripe mango from the bag ?
2. There are 12 red and 8 blue balls in a bag. If a ball is selected at random from the bag, what is the probability that it is
red ?
3. What is the number of all possible outcomes of tossing a fair die ?
4. A boy throws a fair die once. What is the probability of getting the number 4 ?
5. There are 10 red and 15 green balls in a bag.
Find the probability of selecting at random a red ball from the bag.​

Answers

Answer:

1. 2/3 or 66.7%

2. 3/5 or 60%

3. 6

4. 1/6 or 16.7%

5. 2/5 or 40%

Step-by-step explanation:

Which expression has the same value as Negative 18 divided by (negative 9)? Negative 18 divided by 2 Negative 12 divided by (negative 3) Negative 10 divided by 5 Negative 8 divided by (negative 4) (for brainliest)

Answers

Answer: -8/-4

Step-by-step explanation:

When a negative integer gets divided my another negative integer, it results in a positive number. This means that we can eliminate all the negative symbols in this problem

18/9 = 2

Now all is left to determine which other expression is equivalent to 2

In the expression -10 / 5, since there is only one negative symbol, the postulate for negative number division states that two negative integers makes a positive number, and there is one negative integer and one positive whole number.

18/2 = 9 = incorrect

12/3 = 4 = incorrect

-10/5 = -2 = incorrect

8/4 = 2 = correct

So the expression -8/-4 is equivalent to the expression -18/-9

Answer:

Its D

Step-by-step explanation:

took the test its right, yw

Plzzzzzzzz! A suitcase lock has a code 4 symbols long. The symbols on the lock are a star, a square, a circle, a triangle, a line, and a pentagon. What is the probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice? Enter your answer as a fraction in simplest form.

Answers

Answer:

                [tex]\dfrac{1}{30}[/tex]

Step-by-step explanation:

6 symbols and 4-symbol code so number of combinations wich doesn't contain the same symbol twice would be:

6•5•4•3 = 360

If code starts with a star followed by triangle that means only one posibility for first two symbols and code doesn't containing the same symbol twice means that left 4 symbols for next two.

So number of combinations of code starting with a star followed by triangle and doesn't containing the same symbol twice will be:

1•1•4•3 = 12

The probability that a randomly chosen code starts with a star followed by triangle and doesn't contain the same symbol twice:

[tex]\dfrac{1\cdot1\cdot4\cdot3}{6\cdot5\cdot4\cdot3}=\dfrac{1\cdot1}{6\cdot5}=\dfrac{1}{30}[/tex]

There are one hundred people standing in a circle. They count off beginning at one and ending at one hundred. Since they are in a circle, ONE is next to TWO and ONE HUNDRED. ONE has a sword and kills TWO. He passes the sword to THREE who kills FOUR. And so forth. NINETY-NINE kills ONE HUNDRED and passes the sword to ONE. Then ONE kills THREE and passes the sword to FIVE. This goes on until only one person is left standing. Which number is he?

Answers

Answer:

number 1

Step-by-step explanation:

Please help me simplify this equation

Answers

Answer:

A. x

Step-by-step explanation:

1. Simplify parentheses

[tex]\frac{13*(x-3)+39}{13}[/tex]

2. Divide by 13

[tex](x-3)+3[/tex]

3. Basic math ([tex]x-3+3[/tex])

[tex]x[/tex]

Accessibility Text Size Aa Aa Aa Type your answers into the boxes. A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?

Answers

Answer:

Step-by-step explanation:

Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.

the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is

1 - (0.7 + 0.2) = 0.1

If there are 60 fishes in the fish bowl, then the number of fishes that are red is

0.1 × 60 = 6 fishes

Assume m<22=35. Find the measure of all of the other angles in the figure given line L and line P are parallel.

PLEASE HELP!!! ASAP!!!

(Picture included)

Answers

Answer:

m∠1 = 145°

m∠3 = 35°

m∠4 = 145°

m∠5 = 145°

m∠6 = 35°

m∠7 = 35°

m∠8 = 145°

Step-by-step explanation:

In the picture attached,

line 'm' and line 'l' are the parallel lines and another line intersects these lines is a transverse.

m∠2 = 35°

Since ∠1 and ∠2 are supplementary angles,

m∠1 + m∠2 = 180°

m∠1 + 35° = 180°

m∠1 = 180° - 35°

m∠1 = 145°

∠1 ≅ ∠4 [Vertical angles]

m∠1 = m∠4 = 145°

∠2 ≅ ∠3 [Vertical angles]

m∠2 = m∠3 = 35°

∠3 ≅ ∠6 [Interior alternate angles]

m∠3 = m∠6 = 35°

Similarly, ∠4 ≅ ∠5 [Interior alternate angles]

m∠4 = m∠5 = 145°

∠6 ≅ ∠7 [Vertical angles]

m∠6 = m∠7 = 35°

In 30 minutes, a television station plays 8.5 minutes of commercials and airs a cooking show for m minutes. Write an equation that gives the length of the cooking show that was aired during this 30-minute period. please help!!

Answers

Answer:

30-8.5=m

Step-by-step explanation:

You have to figure out how many minutes the ads were not playing, which is also how long the cooking show was playing, and to do this you simply subtract.

13.555 to 1 decimal place

Answers

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

what is 76 over 9 divided by 14 over 3?

Answers

Answer:

38/21 or 1.80952381

Step-by-step explanation:

Answer:

(76/3) / 14 OR AROUND 9/5

Step-by-step explanation:

So I'm assuming this equation is (76/9) / (14/3)

We can solve this in a simple way instead of a hard way -->

9 and 3 can cancel out to 3 and 1 so we have (76/3) / (14)

76/3 = 25 1/3 --> 25 1/3 / 14 If you simplify this it's around 1 4/5 or 9/5

Hope this helps!

PLS HELP ME ANSWER, i Need it quick

Answers

Answer:

69

Step-by-step explanation:

The median is the middle number.  Using the box and whisker box, the median is the middle line in the box.    The line is at 69 for  Genevieve

given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate

Answers

Step-by-step explanation:

a) $410 × £0.72 = £295.20

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segments AB and CD . Answer: Distance between midpoints is in

Answers

Answer: 12 inches

Step-by-step explanation:

Given that :

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in

Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.

A could be taken as the starting point with and D taken the end of the line with B and C in between them.

For instance:

A = 6; B = 12 ; C = 18 ; D = 24

Midpoint of AB = (12 + 6) / 2 = 18/2 = 9

Midpoint of CD = (18 + 24) / 2 = 42/2 = 21

Distance between the Midpoint AB and CD equals:

Midpoint CD - Midpoint AB

(21 - 9) inches = 12 inches

Answer:

Step-by-step explanation:

12in

I need help with this honestly

Answers

Answer:

D.(-4,-8) and(2,4)

Step-by-step explanation:

y=-2x

y=x²-8

this means that the two equations are equal because they both add up to y

thus; x²-8=-2x

formulae=Ax²+bx+c=0

x²+2x-8=0

find two numbers which multiplied will give you x² and when added will give you 2x that is x and x

x²+x+x-8=0

x(x+1)+1(x-8)=0

(x+1)(x-8)=0

1)x+1=0. x= -1

further explanation on answers

1)y=-2x

y=-2(-1)=2

y=2

2)y=x²-8

y=1²-8= -8

y= -8

note*this means that the answer should have both 2 and -8 thus d is the answer

A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was 53.50. Find the price of each shrub.

Answers

Answer:

Is $9

Step-by-step explanation:

$9 because you subtract 17.50 from 53.50 and you will get 36 and then divide by 4 which make it $9 a shrub

Write the quadratic function in f(x)= a(x-h)^2+k form whose graph is shown.

f(x)=

Answers

Answer:

f(x) = - (x - 2)² + 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, 2 ), thus

y = a(x - 2)² + 2

To find a substitute the point (0, - 2) into the equation

- 2 = a(- 2)² + 2 ( subtract 2 from both sides )

- 4 = 4a ( divide both sides by 4 )

a = - 1

Thus

f(x) = - (x - 2)² + 2

What is the y-intercept of y=1+6x? Choose 1 answer: (Choice A) A (0,1) (Choice B) B (1,0) (Choice C) C (6,0) (Choice D) D (0,6)

Answers

The y-intercept of a line equation is when x=0.

Therefore y=1+(6•0)

y=1

Therefore coordinates are (0,1) which is choice A

Need help with this XY chart for coordinate points

Answers

Answer:

Y= -9, -4, 1, and 11

Step-by-step explanation:

You substitute in the numbers on the left (under x) into the equation to find y.

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