A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank.

Answers

Answer 1

The complete table is given below.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

Time after         change in water     expression      water in tank  

sensor starts

0                              0                        770 + (0)(-14)        770

1                             -14                        770 + (1)(-14)         756

5                            -70                       770 + (5)(-14)        700

10                          -140                      770 + (10)(-14)       630

2)

Time after         change in water     expression      water in tank  

sensor starts

1                           -14                          770 + (1)(-14)         756

0                          0                           770 + (0)(-14)        770

-1                           14                          770 + (-1)(-14)        784

-2                          28                         770 + (-2)(14)        798
-3                          42                         770 + (-3)(14)         812

-4                          56                         770 + (-4)(14)         826

-5                          70                          770 + (-5)(-14)       840

Thus,

The complete table is given above.

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The complete question is given below.

A Tank Of Water Is Being Drained. Due To A Problem, The Sensor Does Not Start Working Until Some Time

Related Questions

Find the reference angle for 342°.

Answers

Answer:

18 degree

Step-by-step explanation:

Latoya's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 6 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?

Answers

The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg

What is a mixture?

A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.

The coffee blend of LaToya shop = Type A and B

A bag of the coffee blend = 6kg of Type A.

4 bags of coffee blend = 36kg

Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A

Type B in each bag = 36 - 24 = 12/4 = 3kg.

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I need help with this question ASAP please.

Answers

[tex]arc \ length = 2\pi r \frac{\theta}{360} = \\\\[/tex][tex]2 \pi *9 * \frac{135}{360} =21.205[/tex]

[tex]\frac{3\pi }{4} =\frac{3*180}{4}=135[/tex]

Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?

Answers

25 coins represent 25 percent of Jocelyn's collection.

What is the percentage?

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.

given, Jocelyn has a collection of 100 coins.

100% of her collection represents = 100 coins

1 %  of her collection represents = 100/100 coins

1%  of her collection represents = 1 coin

thus,

25%  of her collection represents = 1*25 coins

25%  of her collection represents = 25 coins

therefore, 25 percent of the collection of Jocelyn represents 25 coins.

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Show your work please help

Answers

The error in the work lies in line 3 where the square root is calculated inaccurately.

What is square root of a number?

The opposite of squaring an integer is finding its square root. The square root of a number can be found by looking for a number that, when squared, yields the original value.

The error is in line 3, line 4 and line 5.

The error in line 3 is inaccurate calculation of the value of square root of 4.

The error in line 4 is a mathematical calculation error.

The error in line 5 is a mathematical calculation error.

The correct answer in Line 3 is:

[tex]6 * 2 *\sqrt{5} -3\sqrt{5}[/tex]

The correct answer in Line 4 is:

[tex]12\sqrt{5} - 3\sqrt{5}[/tex]

The correct answer in Line 5 is:

[tex]9\sqrt{5}[/tex]

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1. Convert the following improper fractions to mixed numbers; a. 55
2
b. 43 3
2. Convert the following mixed numbers to improper fractions; a. 72
5
b. 121 2
[1]
[1]
[1]

Answers

1

7×2+1/2

14+1/2

15/2

2

12½

12×2+1/2

24+1/2

25/2

Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W​

Answers

Answer:

P = 59/5

Step-by-step explanation:

Sean bakes 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did Sean bake? EXPLAIN now!!!

Answers

Sean baked 372 cupcakes in total.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Sean bakes 18 dozen chocolate cupcakes,

and 13 dozen vanilla cupcakes.

There are 12 cupcakes in one dozen.

To find the number of cupcakes:

Using multiplication operation,

18 x 12 = 216.

13 x 12 = 156.

The number of cupcakes = number of chocolate cupcakes + number of vanilla cupcakes.

The number of cupcakes = 216 + 156

The number of cupcakes = 372

Therefore, the number of cupcakes are 372.

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A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?

Answers

The given drug experiment is an example of observation.

What are the types of statistical studies worksheet?

There are three major types of statistical studies :

observational studiessurveysexperiments.

Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.

Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.

Therefore, the given drug experiment is an example of observation.

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15 x 109 is how many times greater than 5 x 103?
Enter the answer using scientific notation

Answers

The number of times 5×10³ greater than 15×10⁹ is 3×10⁶.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Given that, 15×10⁹ and 5×10³.

Number of times 5×10³ greater than 15×10⁹ is

Now, 15×10⁹/5×10³

= 3×10⁶

Therefore, 3×10⁶ times 5×10³ greater than 15×10⁹.

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b) 6q + 4-q + 5 simplify​

Answers

Answer:

5q + 9

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Find the surface area of the cylinder.
13 m
20 m

Answers

Answer:

2695.49 m

Step-by-step explanation:

A = 2πrh + 2πr2

2 · π · 13 · 20 + 2 · π · 132

2695.4865

A piece of hematite contains 72% iron. If the hematite weighed 160g, how much iron would there be?

Answers

Step-by-step explanation:

160g=100%

72%=72/160*100

=45

Find the area of a regular hexagon with a side length of 10 cm

Answers

60 is my resultados of area

Answer

[tex]54 \sqrt{3} [/tex]

Step-by-step explanation:

Each interior angle is 120°for an hexagon.... Bisecting each will give an angle of 60° and thus dividing the hexagon into 6 equilateral triangles as the Bisecting lines meet at the centre of the hexagon. So find area of each equilateral triangle and multiply by 6

Area=

[tex] \frac{1}{2} b \times h \times 6 \\ = 3bh \\ = 3 \times 6 \times 3 \sqrt{3} [/tex]

[tex] = 54 \sqrt{3 } cm ^{2} [/tex]

State the domain and range of the following function.

Answers

Answer:

Step-by-step explanation:

ur STUP1d

I need help with this ASAP

Answers

Given:

Radius of the circle = 6 inches

Central angle = 75 degrees.

To find:

The length of subtended arc, i.e., x.

Solution:

The formula for arc length is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get

[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]

[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]

[tex]x=7.85[/tex]

[tex]x\approx 7.9[/tex]

Therefore, the value of x is 7.9 inches.

Answer:Radius of the circle = 6 inchesCentral angle = 75 degrees.

Step-by-step explanation:

whitch lines are perpendicular??​

Answers

Answer:

A

Step-by-step explanation:

multiple lines meeting at 90 degrees. hope this helped

The right answer is A

Triangle JKL has vertices J(6, -1), K(10,-2), and L(5, -3). Determine the
coordinates of the vertices of the image after a translation along (0,4)
and a reflection in the y-axis.

Answers

J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.

What is meant by coordinates of the vertices?

[tex](x_1,y_1), (x_2,y_2),[/tex] and [tex](x_3,y_3)[/tex] are the coordinates of a triangle's vertices [tex](x_3,y_3)[/tex]. The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.

When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.

First do the first transformation, the translation.

J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).

After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).

We Utilize those new coordinates to do the reflection in the y axis.

J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).

After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).

Those exists the vertices after the transformations.

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J''(-6, 3) , K''(-10, 2) , and L''(-5, 1) those exists the vertices after the transformations.

What is meant by coordinates of the vertices?

[tex](x_{1}, y_{1}), (x_{2}, y_{2}) and (x_{3}, y_{3})[/tex]  are the coordinates of a triangle's vertices . The line connecting the first two is divided in the proportion l:k, and the line connecting this point of division to the opposing angular point is divided in the proportion m:k+l.

When you write coordinates as (x, y), it means to write the x-axis point first and then the y-axis point. Some kids might be instructed to remember this by saying "along the corridor, up the stairs," which means they should follow the x axis first and then the y axis.

First do the first transformation, the translation.

J (6, -1 + 4), K (10, -2 + 4), and L (5, -3 + 4).

After adding, we get J'(6, 3) , K'(10, 2) , and L'(5, 1).

We Utilize those new coordinates to do the reflection in the y axis.

J''(6(-1), 3) , K''(10(-1), 2) , and L''(5(-1), 1).

After multiplying, we get J''(-6, 3) , K''(-10, 2) , and L''(-5, 1).

Those exists the vertices after the transformations.

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Is a student takes out a $750 loan at 4% interest, how much interest is paid back in 60 days

Answers

Answer:

754.93 in total with an increase of 4.93

Step-by-step explanation:

What is the lateral surface area, in square inches, of the figure formed by the net?

Answers

Answer:

71 in²

Step-by-step explanation:

surface area = (4×6)+(2×½×4×5)+(2×½×6×4.5)

= 24+20+27 = 71 in²

Two numbers are in the ratio 5 : 7. If they differ by 18 then, find the numbers.

Answers

Answer:

45 and 63

Step-by-step explanation:

7x-5x=18

2x=18

2 2

x=9

7(9)=63

5(9)=45

What is the equation of the line that passes through the point (6,-5) and has a
slope of 1/3?

Answers

Answer:

y = 1/3x - 7

Step-by-step explanation:

start with the point-slope form:

(y-y1) = m(x-x1)

substitute the values of (x,y) into the formula:

(y-(-5)) = 1/3(x-6)

y+5 = 1/3x - 2

now write in slope-intercept form:

y = 1/3x - 2 - 5

y = 1/3x - 7

5 pizzas cost £35.00. How much do 3 pizzas cost?

Answers

Answer:£21.00

Step-by-step explanation:

One pizza: (£35/5) =£7

Three pizza's: (£7x3)=£21

£21 because 35 divide by 5 is £7 so £7 times 3 is £21

The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?

A. 4 cm and 5cm
B 5cm and 6 cm
C. 6 cm and 7 cm
D. 7 cm and 8 cm

Answers

Step-by-step explanation:

The volume of the cube below is 250.047 m^3. The side length could be between which sets of numbers below?

A. 4 cm and 5cm

B 5cm and 6 cm

C. 6 cm and 7 cm

D. 7 cm and 8 cm

ans.C

A group of 30 people, 12 females and 18 males, are electing 5 representatives.
a. How many ways can the 5 representatives be chosen from the group?


b. How many ways can the 5 representatives be 2 males and 3 females?

c. What is the probability that the representatives end up being 2 males and 3 females if they are randomly selected? Enter your answer as a decimal rounded to the nearest thousandth. (3 decimal places).

Answers

Answer:

Total number  = 30Number of females = 12Number of males = 18

a) Combination of 5 out of 30:

30C5 = 30!/[5!*(30 - 5)!] = 142506

b) Combination of 2 males:

18C2 = 18!/[2!*(18 - 2)!] = 153

Combination of 3 females:

12C3 = 12!/[3!*(12 - 3)!] = 220

The number of ways with 2 males and 3 females:

153*220 = 33660

c) Required probability is:

P(2 males and 3 females) = 33660 / 142506 = 0.236

help me pls i ghave the first bit odne

Answers

Answer:

1 = 24 degrees

2 = 156 degrees

Step-by-step explanation:

Solve the equation for x:

x -  15 +4x = 180

5x = 195

x = 39

so 1 = (39-15) = 24 degrees

so 2 = (4x39) = 156 degrees

answer fast and correct pls

Answers

Answer:

A

Step-by-step explanation:

Does the equation y = 5(2.3)* model exponential growth, exponential decay or neither?

Answers

Exponential growth because maths is good

Answer:

It models exponential growth

Step-by-step explanation:

Use the formula f(x)=a(1+r)^x where r is the growth rate, a is the principal value, and x is the length of time.

Since r would be equal to 2.3-1=1.3, this means a growth rate of 130%, which means the model models exponential growth since r>1.

There is a 3 out of 20 chance that you can win a game. How many "wins" would you predict if you played the game 50 times? (NO LINKS OR FILE PLEASE, I WILL REPORT)
A 3
B 6
C 17
D 8

Answers

Answer:

D. 8

Step-by-step explanation:

set up a proportion

3/20 = x/50

to get from 20 to 50 you have to multiply by 2.5

so multiply the top number (3) by 2.5 to find x

this comes out to 7.5 which you then round up to 8

Answer:

D

Step-by-step explanation:

Peter is building a ramp at his home. He wants to build it 11 inches high with aa 60 inch base. How long will the ramp be that Peter is building? Round to the 10ths if needed.​

Answers

Answer:   61 inches

Explanation:

You have a right triangle with legs of 11 and 60. The hypotenuse is unknown.

Use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\11^2 + 60^2 = c^2\\\\121 + 3600 = c^2\\\\3721 = c^2\\\\c^2 = 3721\\\\c = \sqrt{3721}\\\\c = 61\\\\[/tex]

The ramp is exactly 61 inches long.

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