Water is being pumped into a 12-foot-tall cylindrical tank at a constant rate. • The depth of the water is increasing linearly. • At 1:30 p.M., the water depth was 2.6 feet. • It is now 3:30 p.M., and the depth of the water is 3.8 feet. What will the depth of the water be at 4:00 p.M?

Answers

Answer 1

Answer:

The depth will be 4.1 ft

Step-by-step explanation:

Here, we have a linear model to work with

Between 1:30 pm and 3:30 pm, there was a difference of 3.8-2.6 = 1.2 ft on the depth

What we can see there is that in 2 hours, there was a difference of 1.2 ft

So the filling rate per hour will be 1.2ft/2 hours = 0.6 ft/hr

Now, we want to know the depth of the water at 4:00 pm

The difference between 3:30 and 4 pm is 30 minutes = 0.5 h

so by addition;

3.8 ft + 0.5(0.6)

will give the depth of the water at 4 pm

That will be;

3.8 + 0.3 = 4.1 ft

We used 3.8 ft as it is the depth at 3:30 pm

Then we need to add what is topping this after 30 minutes of filling using the constant filling rate and the time


Related Questions

− 7 / 12 + 3 / 8 thanks

Answers

Answer:

-5/24

Step-by-step explanation:

Simplify the denominators

-14/24 + 9/24

Add them but keep the denominator

-5/24

Answer:

-840

Step-by-step explanation:

12+3=15

-7*15=-105

-105*8=-840

What is the RANGE and the IQR for 17,18,22,17,16,21,19,and16

Answers

Answer:

so 1- 2 is  negative 3 so minus tha by 3 than 4x2

Step-by-step explanation:

fully simplify the answer and plz explain

Answers

Hi there!

[tex]\large\boxed{x = \frac{24z}{(18 + yz)} }[/tex]

We can begin solving by creating a common denominator:

x · 3 · z = 3xz. This is the denominator that all of the numerators must have in order to work with the fractions.

Multiply each numerator by the missing parts of the common denominator:

[tex]\frac{8 * 3 * z}{3xz} - \frac{y * x * z}{3xz} = \frac{6 * 3 * x}{3xz}[/tex]

Simplify:

[tex]\frac{24z}{3xz} - \frac{yxz}{3xz} = \frac{18x}{3xz}[/tex]

Move all the fractions involving x in the numerator to the right-hand side of the equation:

[tex]\frac{24z}{3xz} = \frac{18x}{3xz} + \frac{yxz}{3xz}[/tex]

Combine fractions:

[tex]\frac{24z}{3xz} = \frac{18x + yxz}{3xz}[/tex]

Multiply both sides by 3xz:

[tex]24z = 18x + yxz[/tex]

Factor out "x" from the terms on the right-hand side:

[tex]24z = x(18 + yz)[/tex]

Divide both sides by (18 + yz)

[tex]\frac{24z}{(18 + yz)} = x[/tex]

Solve for x.

3/5x + 1/4 = 7/20x - 4

Answers

Answer: 3/5x + 1/4 = 7/20x - 4

Step-by-step explanation:

Solve for x: 7(9 + x) = 84
x= 3
x= 21
x=16
x=64

PLEASE HURRY WILL GIVE BRAINLIEST!!!

Answers

Answer:

my answer is 2 . 3 I think

What is the distance between the points (-2, 4) and (7, -5)?

Answers

i believe it would be (-9,9) but i’m not sure. i got this answer because
-2-7 = -9
4(-5) = 9
hope this helps! feel free to mark brainliest:)

If a car travels 400 m over 80 seconds, how fast is the car traveling?

Answers

300 meters per minute: 3600 meters per hour

YW BRAINLIEST PLEASE

I need help some help please

Answers

Answer:

1. no, 2. yes

Step-by-step explanation:

You need to use the triangular inequality thereom, which goes by if any side lengths are added together, they are greater than the remaining one. So, for number one, although 20+9=29>8 and 20+8=28>9, 9+8<20 since 9+8=17, which is less than 20. For number two, yes because 1) it is a right triangle triple and 2) 3+4=7>5, 4+5=9>3, and 5+3=8>4.

Answer:

Number 1 is Not a triangle so No and you don’t need to classify becuase it’s not aa triangle

Number 2 is a triangle becuase its ta Pythagorean triplet and even if you checK, it adds up.

Step-by-step explanation:

1) So using Pythagorean Theorem

8^2+9^2=20^2

64+91=400

That is not true

2) 3^2+4^2=5^2

9+16=25

That is true  

A.4. B.-4. C.1/4. D-1/4

Answers

A or B think it's A tho not sure

Answer:

B. -4

Step-by-step explanation:

The slope is -8/2 which is the same as -4.

Another way you could do it is down 4 and right 1. That would be -4/1 which is the same as -4.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Find the area of the isosceles triangle. please help thanks

Answers

Answer:

1080 m^2 Don't submit m^2 in your answer.

Step-by-step explanation:

Givens

The catch is to find h

To do that, use a^2 + b^2 = c^2

a b and c are in the same 1/2 triangle.

a = 48/2 = 24 m

b = h = ?

c = 51 meters

Solution

a^2 + b^2 = 51^2                      Substitute for b^2 = h^2

24^2 + h^2 = 51^2                   Expand 24^2 and 51^2

576 + h^2 = 2601                    Subtract 576 from both sides

h^2 = 2601 - 576

h^2 = 2025                              Take the square root of both sides

h = 45

Area

Area = 1/2 b * h

Area = 1/2 48 * 45

Area = 1080

Remark

Notice that to find h you only use 1/2 of 48 because that is the base of the right triangle.

To find the area, you need to use all of 48 because 48 is the full length of the base.

Help please!

Bart had an income of $38,250 last year. If the inflation rate is 4.5%, what is his purchasing power?

A. $33,614.85
B. $34,543.75
C. $34,998.15
D. $36,528.75

Answers

Answer:  D) $36,528.75

=======================================================

Explanation:

Positive inflation eats away at the purchasing power of money.

If inflation is 4.5%, then the purchasing power goes down by 4.5% meaning his purchasing power is 100% - 4.5% = 95.5% of what it used to be.

95.5% of $38,250 = 0.955*38250 = 36,528.75

So his purchasing power is $36,528.75

The purchasing power of Bart by the income of last year is option D. $36,528.75.

What is Inflation?

Inflation can simply be defined as the increase in the rate of the prices over a period of time. In other words, inflation describes how much more expensive has a commodity or service becomes in a period of time.

It is clear that, inflation decreases the purchasing power of money.

Given that, the inflation rate is 4.5%.

Also, Bart had an income of $38,250 last year.

Purchasing power will get decreased by 4.5%.

Purchasing power = $38,250 - ($38,250 × 4.5%)

                              = $38,250 - (1721.25)

                              = $36,528.75

Hence the purchasing power of Bart is $36,528.75.

To learn more about Inflation, click on the link given below :

https://brainly.com/question/1869740

#SPJ6

Enter an inequality that represents the description, and then solve.
Dave has $11 to spend on an $8 book and two birthday cards (c) for his friends. How much can he spend
on each card if he buys the same card for each friend?

Answers

Answer:

$6

Step-by-step explanation:

Factor 15x + 35 using the GCF

Answers

Answer:

Step-by-step explanation:

find all of tehe factors to both numbers

15x = 5 3 x

35 = 5 7

pull 5 out of both of them and put the remaining factors in parentheses

5(3x + 7)

please help!!! ASAP

Answers

Answer:D

Step-by-step explanation:

It's on a computer

Answer:

simulation

Step-by-step explanation:

im in 8th grade

For the system, what is the y-value? 1x + 3y = 10 -x + 8y = 4

Answers

y =− 11/2≈−0.181818182 is that what your looking for

Katy bought a $76 dress at 33% off and a $52 pair of shoes at 15% off. If
sales tax is 6.75% how much did she pay in total?

Answers

Answer:

101.54

Step-by-step explanation:

Answer:

$103.21

Step-by-step explanation:

33% of 76=$25.08 then 76-25.08=$50.92

12% of 52=$6.24 then 52-6.24=$45.76

50.92+45.76=$96.68

6.75% of 96.68=$6.525-->$6.53

96.68+6.53=($103.21)

how long is the cable

Answers

Answer:

anywhere from 169 to 220 metres,

Step-by-step explanation:

Some number is equal to 1/3 of the sum of 83, -27.2, and 73. What is the number?

Answers

i think the answer is 80.13

Investors buy a studio apartment for $140,000. Of this​ amount, they have a down payment of $21,000. Their down payment is what percent of the purchase​ price? What percent of the purchase price would a ​$7,000 down payment​ be?

Answers

Answer:

a. Down payment of $21,000

= 21,000 / 140,000

= 0.15

= 15%

b. Down payment of $7,000

= 7,000/ 140,000

= 0.05

= 5%

Find the slope of the line going through the points (0, -7) and (8, 1).

Answers

Answer:

8,1

Step-by-step explanation:

maybe i think this will help you

Candice skipped 12 m in 3 seconds. What was her speed in m/s?
A. 4 m/s
B. 3 m/s
C. 12 m/s

Answers

her speed is (A) 4 m/s

Answer:

her speed is answer in m/s A 4 m/a

Identify an equation in point-slope form for the line parallel to y =-2/3x+8 that
passes through (4,-5).

Answers

first find the slope (which is -2/3)

then plug into point-slope formula using the coordinates. if you dont remember point-slope is “y-y1 = m (x-x1) where y1 being the y of the coordinate while x1 being the x of the coordinate and m being the slope.

plug it in to get “y+5 = -2/3 (x-4)

that’s the point-slope form

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:

80 degrees. add the known angles, then subtract it from 180.


4. Emilio asks his classmates what month they were born. He finds that 15
out of 125 classmates were born in July. If there are 1,280 students in
Emilio's school, how many students can he expect to have birthdays in July
based on the experimental probability?
Ok

Answers

Answer:153

Step-by-step explanation:

From the question, we are informed that Emilio asks his classmates what month they were born and that he finds that 15 out of 125 classmates were born in July. This gives us a fraction of 15/125 = 3/25.

If there are 1,280 students in Emilio's school, the number of students that he can expect to have birthdays in July would be:

= 3/25 × 1280

= 153.6

There will be 153 students expected

$12,000 at 2.2% for 5 years.
what’s the interest?

Answers

Answer:

264.

Step-by-step explanation:

12,000X2.2%=264.

Melinda's family drove 378 miles in 9 hours. What was the average speed for the trip?

Answers

Answer: 42 MPH

I hope this helps, and Happy Holidays! :)

Answer:

Step-by-step explanation:

if Melinda's family drove 378 miles in 9 hours, her average speed is

378/9=42 miles per hour

246.8 is what percent of 128? Round to the nearest thousandth.

Answers

Answer:

60%

Step-by-step explanation:

Answer:

Most 193%

Step-by-step explanation:

246.8/128= 1.928

Please help
Thank you!

Answers

Answer:

T

F

F

Step-by-step explanation:

Merry C-mas

1. True

2. False

3. True

F(x)=2x+4 and g(3)=x^2+3

Answers

The answer for g(3) is 12
F(x) would be that x is -2

A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches, approximately how many inches of string will the student need?

Answers

Answer:

3.8 inches

Step-by-step explanation:

Divide 24 by 3.14 (Pi) then divide that number by 2

The number of inches of string that the student needs will be 3.82 inches,

What is the circumference of a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the circumference of the circle will be

C = 2πr units

A student wants to glue a piece of string from the center of a round table to the edge. If the circumference of the table is 24 inches. Then the radius of the circle is given as,

24 = 2πr

r = 24 / 2π

r = 3.82 inches

The number of inches of string that the student needs will be 3.82 inches,

More about the circumference of a circle link is given below.

https://brainly.com/question/27177006

#SPJ2

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