The heat Q required to raise the temperature of water varies jointly as the mass m of the water and the amount of temperature change T, and Q=20930 joules (J) when m=1kg and T=5 degrees C. Find m when Q=8372 J and T=10 degrees C

Answers

Answer 1

Answer:

m = 0.2 kg.

Step-by-step explanation:

Joint variation:

Q = kmT where k is a constant.

Subsituting the given values:

20930 = k*1*5

k = 20930 / 5 = 4186.

So the relation is:

Q = 4186mT

When Q = 8372 and T = 10:

8372 = 4186 * m * 10

m = 8372 / (4186*10)

m = 0.2 kg.


Related Questions

solve for x : -18 = x -17

Answers

Answer: X= 306/19

Step-by-step explanation:

A bag contains 8 red marbles, 4 blue marbles and 2 green marbles. If two marbles are
drawn out of the bag, what is the exact probability that both marbles drawn will be
red?

Answers

Answer:

Step-by-step explanation:

12x + 3y = 9 solve for y​

Answers

Answer:

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

Step-by-step explanation:

To solve for y, you have to isolate it on one side of the equation.

12x+3y=9

First, you have to subtract by 12x from both sides.

[tex]\Longrightarrow:\sf{12x+3y-12x=9-12x}[/tex]

Solve.

[tex]\Longrightarrow:\sf{3y=9-12x}[/tex]

Then, you divide by 3 from both sides.

[tex]\Longrightarrow:\sf{\dfrac{3y}{3}=\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

Solve.

[tex]\sf{\dfrac{9}{3}-\dfrac{12x}{3}}[/tex]

[tex]\sf{\dfrac{9-12x}{3}}[/tex]

Use the distributive property.

[tex]\underline{\text{DISTRIBUTIVE PROPERTY:}}[/tex]

⇒A(B+C)=AB+AC

9-12x=3(3-4x)

[tex]\sf{\dfrac{3\left(3-4x\right)}{3}}[/tex]


Divide the numbers from left to right.

3/3=1

3-4x

Then, rewrite the problem down.

[tex]\Longrightarrow: \boxed{\sf{y=3-4x}}[/tex]

Therefore, the correct answer is y=3-4x.

I hope this helps! Let me know if you have any questions.

Answer:

y = (3) - (4x)

Step-by-step explanation:

Note: Since there is only one equation given, the value of "y" will not be a fixed value.

Given equation:

12x + 3y = 9

Our main goal to solve for "y" is to have the y-variable on one side, and a specific value or variable on the other side (e.g., y = 3 or y = 4x) . Start out by subtracting both sides by 12x. This will isolate the y-variable and it's cooeficient (3).

⇒ 12x + 3y = 9⇒ 12x + 3y - 12x = 9 - 12x⇒ 3y = 9 - 12x

Once the y-variable and the cooeificent of the variable have been isolated, we can divide both sides by the cooeficient to isolate the variable.

⇒ 3y/3 = (9 - 12x)/3⇒ y = (9 - 12x)/3⇒ y = (9 ÷ 3) - (12x ÷ 3)⇒ y = (3) - (4x)

Therefore, the value of "y" is 3 - 4x.

State the center and radius of each circle. then write the equation of the circle in standard form.
See attached:

Answers

Answer:

Step-by-step explanation:

Center: (h, k) (the coordinate of the middle point)r(radius): d(diameter)/2 (can be found by counting the number of units vertically or horizontally)Standard form of a circle: (x - h)² + (y - k)² = r²

1.

Center: (-2, 3)

Radius: 10/2 = 5

Standard form/ equation: (x + 2)² + (y - 3)² = 25

Standard form:

(x - (-2))² + (y - 3)² = 5²

(x + 2)² + (y - 3)² = 25

2.

Center: (1, 1)

Radius: 6/2 = 3

Standard form/ equation: (x - 1)² + (y - 1)² = 9

Standard form:

(x - 1)² + (y - 1)² = 3²

(x - 1)² + (y - 1)² = 9

Hope this helps!

#1

Centre(-2,3)Radius=5=r

Equation:-

(x-h)²+(y-k)²=r²(x+2)²+(y-3)²=5²(x+2)²+(y-3)²=25★

More simply.

x²+4x+4+y²-6y+9=25x²+y²+4x-6y=12

#2

Centre(1,1)Radius=3

Equation

(x-1)²+(y-1)²=3²(x-1)²+(y-1)²=9★

(Pls need help ASAP) Willing to give 10 points for 1 question)

Answers

Answer:

D. {(1,2) , (2,3) , (3,4) , (4,5)}

Step-by-step explanation:

Functions are relations with one output for any unique input. Relations that pass the vertical line test have one output for each input. In this case, D was the only set that met the criteria.

BRAINLIEST! and MAX POINTS! PLUS 200 POINTS FOR A GOOD JOB!!
Given the following numbers:

π,2√5,√8,√3,√27

part A. Approximate the square root terms using the perfect squares approximation method. Your answer should be a mixed fraction. Make sure to show your work.

Please note pi does not need to be approximated by the perfect squares approximation method as it is not a square root.

part B. Order the numbers from least to greatest. Please show your answer using the original symbols and radicals provided. You may use decimals or fractions as part of your work for figuring it out.

Answers

Answer:

Part A)

0.47/1=0.47x100/1x100=47/100\

Part B)

0.47=47/99

Part C)

0.47=47/99

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

this is what I got for the first problem

Part A, 2√5)

5=2.2360679775 5=2x2.2360679775=4.472135955=4.47

Part A, √8)

2 3

V4 8 v9

2 4/5

Part A, √3)

1 2

V1 3 v4

1 2/3 Part A, √27)

5 6

V25 27 v39

5 2/14

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

Part B)

1 2/3 2 3/5 4.47 5 2/14

and this is what I got for the second problem

Step-by-step explanation:

Hope tis helps

A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region the dog is able to explore? Round to the nearest tenth.

Worth 25 points!! pls hurry I have a test

Answers

Answer:

1109.8 square feet

Step-by-step explanation:

In this case, assume the leash to be the radius of the circular yard.

Area

πr²3.14 x (18.8)²3.14 x 353.441109.8 square feet

Which is an equation for the line that contains the points (-2, 3) and (2, -1)?

Answers

Answer:

J

Step 1. Find slope

(-1 - 3)/(2 + 2)

-4/4

m = -1

Step 2. Write equation

y - 3 = -1 (x + 2)

y = -x -2 + 3

y = -x + 1

Answer:

Step-by-step explanation:

First find the slope:

[tex]\frac{-4}{4} =-1[/tex]

This immediately rules out all answers but J.

hey please i need this really quick

Answers

Answer:

the answer of that question is 45

Colleen is attending a carnival. The price of admission to the carnival is shown. It costs $3 to play a game. Colleen has $35.



A Ferris wheel is shown. Carnival admission is eight dollars.
What is the greatest number of games she can play?

Answers

Answer:

9

Step-by-step explanation:

Reduce the admission fee. Then divide the rest with cost per game

35 - 8 = 27

=> 27/3 = 9

if a+ b = 5 ( a and b positive), find the maximum value of a² + b²​

Answers

Answer:

2 for A, 1 for B

The tiny floating two means multiply the number by itself, so;

[tex]2 * 2 = 4[/tex]

[tex]1 * 1 = 1[/tex]

Add the two together.

[tex]4 + 1 = 5[/tex]

Express the number 68,708 in word form and expanded form.

Word form ?
Expanded form ?

Answers

Sixty eight thousand seven hundred and eight in word form

60000+8000+700+8 in expanded form

A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter. The letters D ,Z G , and and the digit 8 will not be used. So, there are 23 letters and digits that will be used. Assume that the letters can be repeated. How many employee ID codes can be generated?

Answers

The number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

What is arrangement?

Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.

The number of possible ways to arrange is the n!.Here, n is the number of objects.

A technology company is going to issue new ID codes to its employees. Each code will have two letters, followed by one digit, followed by one letter.

The letters D ,Z, G  and Z and the digit 8 will not be used. So, there are 23 letters and 9 digits that will be used. The letters can be repeated.

[tex]\text{Each code=Two latter + One digit}[/tex]

The first letter is chosen from the 23 letters in 23 number of ways. As letters can be repeated, thus second letter chosen from 23 letters in 23 ways.

One digit can be chosen from the 9 digits in 9 different ways. The last letter can also be chosen in 23 ways. Thus, the number of times employee ID codes can be generated is,

[tex]n=23\times23\times9\times23\\n=109503[/tex]

Thus, the number of times employee ID codes can be generated is that have two letters, followed by one digit, followed by one letter is 109503.

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The function f is defined by f(x) = x^2 + 3x -10 , if f(x + 5) = x^2 + kx + 30, k=

Answers

Answer:

k = 13

Step-by-step explanation:

substitute x = x + 5 into f(x) , that is

f(x + 5) = (x + 5)² + 3(x + 5) - 10 ← expand squared factor using FOIL

          = x² + 10x + 25 + 3x + 15 - 10

         = x² + 13x + 30

compare this with f(x + 5) = x² + kx + 30

for the 2 expressions to be equal , then k = 13

Please help!! A red block and a block are on a scale right. The red block weighs 9 ounces. The total weight of both blocks is 16 ounces. Which inequality best represents b, the possible weight of the blue block in ounces? ​

Answers

Answer:

b ≤ 7

Step-by-step explanation:

Given that:

A red block and a blue block are on a scale.  The red block weights 9 ounces. The total weight of both blocks is 16 ounces.  

To Find:

Which inequality best represents b, the possible weight of the blue block in ounces?

Knowing that;

< ⇒ less than

> ⇒ Greater than

≤ ⇒ less than or equal to

≥ ⇒ greater than or equal to

Solve:

Since the total blocks is 16 ounces that means it can't be pass 16 also known as can't be greater than. As well as, it given us that the red block weight 9 ounces that means

16 - 9 = 7

which given us that it must be equal to 7 or less than 7 to make it true.

Thus,

b ≤ 7

Kavinsky

help I have to turn this is tomorrow and I don’t know how to do it

Answers

Step-by-step explanation:

The area of the triangular base is: 19

square units

How to calculate the base area

The given parameters are:

Volume = 27.36 cubic units

Height = 2.88 unit

The volume of a triangular prism is:

V = 0.5 * B *h

Where B represents the base area.

So, we have:

27.36 = 0.5 * B * 2.88

27.36 B * 1.44 -

Solve for B

B = 19

Hence, the area of the triangular base is: 19 square units

The sum of the measures of the interior angles of a polygon is given. How
many sides does the polygon have?
3) 3060
4) 6480
Sides:
Sides:

Answers

Answer:

19sides if sum is 3060

38sides if sum is 6480

Determine the total annual fica tax for an annual salary of $38,480. a. $294.37 b. $717.96 c. $2,385.76 d. $2,943.72

Answers

The total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

Total annual FICA tax

FICA tax comprises of:

Social security= 6.2%

Medicare=1.45%

Hence:

Social Security=$38,480 x 0.062

Social security =$2,385.76

Medicare= $38,480 x 0.0145

Medicare=$557.96

FICA tax=$2,385.76+$557.96

FICA tax=$2,943.72

Therefore the total annual fica tax for an annual salary of $38,480 is: d. $2,943.72.

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Answer:

D

Step-by-step explanation:

What is the base of a parallelogram with an area of 36 square centimeters, if its height is 3 centimeters?

15 cm
33 cm
9 cm
12 cm
PLS HELP ASAP

Answers

Answer:

12 cm

Step-by-step explanation:

Formula_____________

Area of a parallelogram = base × height

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

Area of the parallelogram = base × height

36 = base × 3

base = 36/3

        = 12

Consider this quadratic equation. 2x2 − 1 = 3x + 4 Which equation correctly applies the quadratic formula?

Answers

Answer:

[tex]\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]

[tex]2x^2-1=3x+4\\\\2x^2-3x-5=0\\\\\\frac{-(-3)+-\sqrt{(-3)^2-4(2)(-5)}}{2(2)} \\\frac{3+-\sqrt{9+40} }{4}[/tex]

[tex]x = \frac{3+-7}{4}[/tex]

Hope this helps and God bless!

Find the midpoint of the segment with the given endpoints.

G(–4, 4) and H(2, 10)

Answers

Answer:

Midpoint (-1,7)

Step-by-step explanation:

To find a midpoint, average the x's and then average the y's (add and divide by 2)

The x-coordinate of the midpoint is: (-4+2)/2

= -2/2

= -1

and the y-coordinate is:

(4+10)/2

= 14/2

= 7

So the midpoint is:

(-1,7)

Answer:

(-1, 7)

Step-by-step explanation:

Midpoint of a line segment

[tex]\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}[/tex]

[tex]\textsf{let}\:(x_1,y_1)=(-4,4)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(2,10)[/tex]

[tex]\implies \textsf{Midpoint}=\left(\dfrac{2+(-4)}{2},\dfrac{10+4}{2}\right)=(-1,7)[/tex]

Manuel labore earns $19. 50/hr. And works an average of 38 hours a week. He is considering renting a house for $1,700/ month. His real estate friend recommends he spend no more than 28% of his monthly income on housing.

Answers

Answer:

Given:

Wage = $19.50 per hourWeekly hours worked = 38

⇒ Weekly income = 38 × $19.50 = $741

⇒ Monthly income = ($741 × 52.14) ÷ 12 = $3219.65

28% of monthly income

= 0.28 × $3219.65 = $901.50

As $1700 > $901.50 Manuel should not rent the house for $1700 per month since it is more than 28% of his income.

The cost of rent at $1700 per month is actually 52.8% of his monthly income:

(1700 / 3219.65) x 100 = 52.8%

HELP PLEASE! Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20. What is each of their measures?

Answers

4x + 10 = 2x + 20
4x - 2x = 20 - 10
2x = 10
x = 5

The measure of each arc is 30.

What is the arc of a circle?

The arc of a circle is defined as the part or segment of the circumference of a circle.

Given that, a circle, Chords NO and PQ are congruent. Arc NO measures 4x + 10 and Arc PQ measures 2x + 20.

We know that,

Chord Arcs Theorem :-

If two chords in a circle are congruent, then their intercepted arcs are congruent.

2x+20 = 4x+10

2x = 10

x = 5

Therefore,

2(5) + 20 = 30

Hence, the measure of each arc is 30.

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Mary is 63.5 inches tall and her sister Tonya is 70 inches tall. Tonya wants to know how many inches taller she is than Mary. Which equation and solution can be used to solve this problem?
x + 70 = 63.5: Subtract 70 from both sides. The answer is 6.5 inches.
63.5 + x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.
x minus 63.5 = 70: Add 63.5 to the left side and subtract 63.5 from the right side. The answer is 6.5 inches.
63.5 minus x = 70: Subtract 63.5 from both sides. The answer is 6.5 inches.

Answers

Answer: second option

Step-by-step explanation: Mary's age plus X = 70

63.5 + X = 70

Subtract 63.5 from both sides

X = 70 -63.5

Answer 6.5

I need help like a lot​

Answers

i just want the points but if i do some math based off of the question i think its C

3x−4/5=−1/2
What is the value of x?

Answers

x=1/10 in decimal form x= 0.1
3x = -1/2 + 4/5
3x = -5/10 + 8/10
3x = 3/10
x = 3/10 / 3
x = 3/10 x 1/3
x = 1/10

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 136 days by 7 workers. How many days would it take to build a similar house with 34 workers

Answers

Answer:

it would take them 4 days to build the house

Good people I critically need an assistance with great pleasure!!​

Answers

Answer:

(y + 3)² - 8

Step-by-step explanation:

y² + 6y +1

Step 1: Divide the co efficient of y by 2

6 ÷2 = 3

Step2: Now find the square of 3

3² = 9

Step3: Add and subtract 9

y² + 6y + 9 - 9 + 1  = y² +6y + 9 - 8  

                              = y² + 2*y*3 + 3² - 8    

Compare y² +2 * y*3 + 3² with a² +2ab + b²

                             = (y + 3)² - 8

What is the most important question jamir needs to consider before he agrees to a lease? will he enjoy driving his new car? will he be able to stay under the 15,000 miles per year limit? will he be able to afford his $432 payment? will he be able to come up with the $2,500 down payment?

Answers

Answer:

Answer is B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

Just took the tes

Answer:

B. Will he be able to stay under the 15,000 miles per year limit?

Step-by-step explanation:

this picture represents 1-4 of the distance from maria house to the park which represents the whole distance?

Answers

There is no picture provided sorry.
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