Mathematics College

write an equation that reflects this relationship using X to represent the amount of grams in fish and y to represent the number of calories
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Write An Equation That Reflects This Relationship Using X To Represent The Amount Of Grams In Fish And

Answers

Answer 1

Answer:

[tex] y = \frac{3}{2}x [/tex]

Step-by-step explanation:

The graph shows there is a proportional relationship between amount of grams of fish (x) and number of calories (y).

A original relationship can be represented by An equation as [tex] y = kx [/tex], where, k = constant of proportionality (y/x).

The constant of proportionality using any point, let's say (200, 300), would be:

k = y/x = 300/200 = ³/2

Plug in the value of k into [tex] y = kx [/tex].

Thus, the equation that reflects the relationship would be:

[tex] y = \frac{3}{2}x [/tex]

Answer 2

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x) and this can be determined by using the point-slope form of a line.

Given :

A graph where the x-axis represents the number of fish in grams and the y-axis represents the number of calories.Points - (100,150) and (200,300)

The point-slope form can be used to determine the equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

The point-slope form is given by the equation:

[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]     ----- (1)

where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, put the values of [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] in the equation (1).

[tex]\dfrac{y-150}{x-100}=\dfrac{300-150}{200-100}[/tex]

[tex]2(y-150)=3(x-100)[/tex]

2y - 300 = 3x - 300

2y - 3x = 0

2y = 3x

The equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories is (2y = 3x).

For more information, refer to the link given below:

https://brainly.com/question/14022834

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A constant volume of cookie dough is formed into a cylinder with a relatively small height and large radius. When the cookie dough is placed into the oven, the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t, the height of the dough is 8 mm, the radius of the dough is 18 mm, and the radius of the dough is increasing at a rate of 2 mm per minute.

Part A: At time t, at what rate is the area of the circular surface of the cookie dough increasing with respect to time? (5 points)

Part B: At time t, at what rate is the height of the dough decreasing with respect to time?

Answers

Answer:

a) dA/dt = 125,42 mm/min

b) dh/dt = - 1,78 mm/min

Step-by-step explanation:

The volume of the cylinder is:

V(c) = π*r²*h         ( r and h radius of the base and heigh respectively )

Then the surface area is: Area of the base : π*r²

Plus lateral area :  h*2*π*r

A(c) =  π*r² + 2*π*r*h

With the help of differentials we obtain:

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt        (1)

In this equation and at time t we know:

r = 18 mm        dr/dt = 2 mm/min      h = 8 mm    dh/dt = ??  

dA/dt = increasing rate of the surface area ( with respect to time)

To find dh/dt we know:

V(c) is constant, then

V(c) = π*r²*h     then   h = V(c) / π*r²

dh/dt = - [V(c)*2*π*r*dr/dt ] / π²*r⁴

By subtitution of V(c)

dh/dt = - [ π*r²*h *2*π*r*dr/dt ] / π²*r⁴

dh/dt = - [2*π²h*r³*dr/dt ] /π²*r⁴

dh/dt = - [2*h* dr/dt ] / r

dh/dt =  -  2*8*2 / 18    mm/min

dh/dt = - 1,78 mm/min

By subtitution in equation (1)

dA/dt = 2*π*r*dr/dt + 2*π*h*dr/dt + 2*π*r*dh/dt

dA/dt = 2*π*18*2 + 2*π*8*2 + (- 2*π*18*1,78 )

dA/dt = 226,20 + 100,53 - 201,31

dA/dt = 125,42 mm/min

Following are solutions to the given points:

Formula:

Cylinder volume [tex]v = \pi r^2 h...............(i)[/tex]

[tex]\to \frac{dr}{dt} = 2 \frac{mm}{min}\\\\ \to \frac{dh}{dt} = -2 \frac{mm}{min}\\\\ \to h=8\\\\ \to r=18 \\\\[/tex]

Part A:  

Calculating the circular area of the surface:

[tex]\to A=\pi r^2\\\\[/tex]

So, [tex]\frac{dA}{dt}=2 \pi r \frac{dr}{dt}.........(ii)[/tex]

Therefore

[tex]\to \frac{dA}{dt}= 2\pi \times 18 \times 2= 72 \pi \ \frac{mm^2}{min}\\\\[/tex]

Part B:

[tex]\to \frac{dh}{dt}= - 2 \frac{mm}{min}[/tex]

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Answers

Answer:

12+# OR 12+x

Step-by-step explanation:

Increased by 12 means plus 12. The word "is" in equations is an equal sign. So far, you have 2n+12. On the other side of the equal sign, you have 31 less than 3 times a number.

Alexa bought 25 pounds of turkey for $26.25. What is the cost per
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Answers

Answer:

$1.05 Per Pound

Step-by-step explanation:

Answer: $1.05/pound

Step-by-step explanation:

$26.25 / 25 = $1.05

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A. Slavery

B. Tariffs

C. States' Rights

D. All of the above

Answers

Answer: I think D

Step-by-step explanation: I know slavery and states rights but i don’t know about the b one

Answer: All of the above

Step-by-step explanation: The south wanted slavery, lower or no tariffs, and individualized states writes. On the other hand, the north wanted no slavery, tariffs, and a central government.

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im sorry: In order to solve the inequality -x > 8, which of the following steps must be done?

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Answers

Answer:

43 ft per minute

Step-by-step explanation:

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The weight of 100 identical samples of a substance is 0.01 pounds.
What is the weight of 10,000 samples?

Answers

0.01/100 = 0.0001 x 1000 = 0.1lb

solve. -1/2 + (3/4 x 4/9) =

A. 1/9

B. -1/5

C. 5/6

D -1/6

Answers

Answer:

D, -1/6

Step-by-step explanation:

-1/2+(3/4*4/9)

Multiply equation inside the parentheses

3/4*4/9=12/36=1/3

Substitute 1/3 into original equation

-1/2+1/3=1/3-1/2

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2/6-3/6

Simplify

-1/6, D

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Answers

Answer:

x = 8.75

Step-by-step explanation:

the ratio of [tex]\frac{4}{7}[/tex] : [tex]\frac{5}{x}[/tex]

x = 8.75

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f(x) = x2 - x - 6
F 6
G2
H 3
IO

Answers

Answer:

zeros of the function are −2 and 3

Step-by-step explanation:

there is no -2 so H.3

the answer is a. 6...........

A stray dog ate 30 of your muffins. That was 5/7 of all of them! How many are left?

Answers

Answer:

42

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Susan answered 60% of the test questions correctly. She answered
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Answers

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Times 21 by 100 and divide by 60. (Use the is/of=%/100 method)

Pls tell me I really need help

Answers

Answer:

The answer is C or 44/12

Step-by-step explanation:

1/2 is equivalent to 3/6

1 4/6 is equivalent to 1 4/6 or 10/6

1 2/4 is equivalent to 1 3/6 or 9/6

When you add all of these together you get 22/6

Then you multiply 22/6 by 2 to get 44/12

Can smoke please help me with this I need help I’ll give brainliest

Answers

Answer:

only one solution at x=0

Step-by-step explanation:

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?

0.45
0.46
0.54
0.59

Answers

Answer:

.54

Step-by-step explanation:

The probability is 33%.

what is probability?

The probability is the measure of the likelihood of an event to happen.

Given:

Random student to studies for test is 0.6, and to does not study for test is 0.4.

Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45.

Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

P(A) =55%

P(B)= 20%

60% of the students study.

So, the probability that a student studies, and gets B or higher is:

Probability =P(A) * 0.6

P= 55* 0.6

Probability = 33%

Hence, the probability is 33%

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Answers

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

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yd

Answers

Answer:

25 yds

Step-by-step explanation:

Since it is a square all sides are equal and there are 4 sides so you divide the perimeter, 100, by 4 to get 25 yds.

PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?

Question 1 options:

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

The answer would be:

8 and -1/8

1 and -1

And could be 0 and undefined, but I'm not 100% sure

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12x/5=18

A.x = 43 1/5
B.x =7 1/2
C.x =-7 1/2

Answers

The answer is B. 7 1/2

You rode your bike for 5 miles in 30 minutes.
If
you rode at the same rate, you would ride 12 miles in 80 minutes.
12
HINT:
5
30
O True
O False

Answers

it’s False, you’d have to divide the number of minutes by the miles to get how many minutes it took PER mile to ride your bike. 30/5 is 6 therefore it takes 6 minutes per mile. if you were to multiply 6 times 12 miles it would equal 72 minutes.

Express 44 copies in 4 minutes as a unit rate.

Answers

Answer:

11:1

Step-by-step explanation:

For every 11 copies, 1 minute passes. Four minutes passed in this case and thus 11*4 would equal 44 and 1*4 would equal 4.

k=10/8
ggggggggggggggggggg

Answers

What’s the question?

help in the next 2 mins!!! -4+7-3

Answers

your answer is 0 your welcome

Answer:

0

Step-by-step explanation:

-4+7-3=0

-4+7=3

3-3=0

Answer is 0

what is the solution of the following? *
-4 = 16
Infinite solutions
no solution

Answers

Answer: no solution

Hope this helps and good luck :)

Step-by-step explanation:

Question 13 (1 point)
A jug contains 74.1 ounces of fruit punch. If the punch is evenly distributed to six people, how
many ounces will each person get?
oz.
Blank 1:

Answers

Answer:

each person gets 12.35oz

Step-by-step explanation:

74.1

6

=12.35

Answer:

12.35 oz

Step-by-step explanation:

74.1 divided by 6 equals 12.35

Write the fraction as a decimal.

16/5

Answers

Answer:

3.2

Step-by-step explanation:

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3

Answers above on the picture^ thank you:)

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Answer:

#3

Step-by-step explanation:

Complete the solution of the equation. Find the
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-x + 2y = -1

Answers

The answer is y = 7
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