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Morgarella [4.7K]
3 years ago
10

What is y= 29/5x as a rate of change

Mathematics
2 answers:
mylen [45]3 years ago
8 0
The rate of change is -29/5x^2
Alex787 [66]3 years ago
6 0

Answer:

\frac{dy}{dt} = -\frac{29}{5}\cdot x^{-2}\cdot \frac{dx}{dt}

Step-by-step explanation:

The rate of change is rate of how y changes in time in terms of the rate of change of x in time. It can be found by deriving the function once and applying chain rule:

y = \frac{29}{5}\cdot x^{-1}

\frac{dy}{dt} = -\frac{29}{5}\cdot x^{-2}\cdot \frac{dx}{dt}

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Answer:

13.5

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Step-by-step explanation:

7 0
3 years ago
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A model length of 12 cm. represents an actual length of 102 ft.the model has a width of 48cm. What is the width of the actual ob
Elodia [21]

the answer would be 408


just set it up like this

12       48

----  =  ----

102      ?


12*4=48 so 102*4 = 408

8 0
4 years ago
Lusita earned $85 for 8 hours of babysitting. Avery earned $125 for 11 hours of babysitting. Are the rates equivalent
weeeeeb [17]
No, avery makes more then lusita
7 0
3 years ago
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A fence must be built to enclose a rectangular area of 45 comma 000 ftsquared. Fencing material costs $ 3 per foot for the two s
Tatiana [17]

Answer:

150 feet by 300 feet.

Step-by-step explanation:

The fence is to enclose a rectangular area of 45,000 ft squared.

If the dimensions of the rectangle are x and y

Area of a rectangle = xy

  • xy=45000
  • x=\frac{45000}{y}

Perimeter of the Rectangle =2x+2y

Fencing material costs $ 3 per foot for the two sides facing north and south and ​$6 per foot for the other two sides.

  • Cost of Fencing, C=$(6*2x+3*2y)=$(12x+6y)

Substitute x=\frac{45000}{y} into the Cost to get C(y)

C=12x+6y

C(y)=12(\frac{45000}{y})+6y\\C(y)=\frac{540000+6y^2}{y}

The value at which the cost is least expensive is at the minimum point of C(y), when the derivative is zero.

C^{'}(y)=\dfrac{6y^2-540000}{y^2}

\dfrac{6y^2-540000}{y^2}=0\\6y^2-540000=0\\6y^2=540000\\y^2=\frac{540000}{6} =90000\\y=\sqrt{90000}=300

Recall,

x=\frac{45000}{y}=\frac{45000}{300}=150

Since x=150, y=300

The dimensions that will be least expensive to build is 150 feet by 300 feet.

6 0
3 years ago
PLEASE HELP I AM DESPERATE!!!
Vilka [71]

Answer:

Statements:

m<b = 180 - m<a

m<c = 180 - m<d

m<b = m<c

180 - m<a = 180 - m<d

Reasons:

The measure of m<b is the angle of a straight line subtracted with m<a. The measure of m<c is the angle of a straight line subtracted with m<d. If m<a and m<d are equal, m<b and m<c are equal.

Step-by-step explanation:

We know, m<a = m<d

So, we need to prove m< b = m<c

Let's start by defining what b and c is

m<b + m<a = 180 This is because a straight line is 180 degrees

m<b = 180 - m<a

m<c + m<d = 180

m<c = 180 - m<d

With this, we can substitute in proof

m<b = m< c

180 - m<a = 180 - m<d

180 - m<a = 180 - m<a

Your welcome for the answer. Tell me if you have any questions in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it!

4 0
2 years ago
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