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mash [69]
3 years ago
14

What is the rate of change in the y-values with respect to the x-values?

Mathematics
1 answer:
dybincka [34]3 years ago
6 0

Answer:

The answer to your question is the last option

Step-by-step explanation:

Process

1.- To calculate the rate of change, calculate slope

Formula

             m = (y2 - y1) / (x2 - x1)

x1 = 1           y1 = 1200

x2 = 2         y2 = 2400

2.- Substitution

             m = (2400 - 1200) / (2 - 1)

3.- Simplification

             m = 1200 / 1

4.- Result

             m = 1200 meters / minute

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Following three questions refer to the information below. A coal-fired power plant produces and sells 10,000 MW electricity whil
natita [175]

Answer: Heat rejected=150000MW

Heat rate= 2.5

Step-by-step explanation:

Thermal efficiency is defined as work out divided by heat in.

Therefore

thermal efficiency = 40/100= 100000 MW/Heat in

Heat in = 250000MW

For a closed system undergoing a cycle the change in internal energy is zero. Therefore the work out of the system is equal to the net heat transfer of the system. Therefore

Work out= heat in - heat out

Therefore heat out = heat in - work out

Heat out = 250000 MW - 100000MW = 150000 MW which is the amount of heat rejected

The heat rate is defined as the inverse of the thermal efficiency expressed in kJ/kWh.Therefore

Heat rate = 1/thermal efficiency

Heat rate = 1/0.4 = 2.5 kJ/kWh

4 0
2 years ago
What is the exact value for the expression the square root of 52− the square root of 13 + the square root of 117 ? Simplify if p
avanturin [10]

√52 -√13 +√117

= 2√13 -√13 +3√13

= 4√13 . . . . matches selection A

_____

√52 = √(4·13) = (√4)(√13) = 2√13

√117 = √(9·13) = (√9)(√13) = 3√13

8 0
3 years ago
Patricia baked some cupcakes for sale. she put half of the cupcakes equally into 6 big boxes and the other half equally into sma
mojhsa [17]

Answer:

The answer is given below

Step-by-step explanation:

a)

Let us assume Patricia baked x number of cakes. She put half of the cupcakes (i.e x/2) equally into 6 big boxes.

6 big boxes contained \frac{x}{2} cakes, therefore 1 big box would contain \frac{x}{2}/6=\frac{x}{12} cakes.

Let us assume she put the other half into 14 small boxes, therefore each small box would contain \frac{x}{2}/14=\frac{x}{28} cakes.

There were 45 cupcakes in 3 big boxes and 8 small boxes altogether. That is:3(\frac{x}{12} )+8(\frac{x}{28})=45\\ 84x+96x=15120\\180x=15120\\x=84

Therefore Patricia baked 84 cup cakes

b)

She sold all the small boxes and collected $189, i.e she sold 14 small box for $189. Each small box = $189/14 = $13.5

6 0
3 years ago
Pleaseee help!!! I really need to pass :(
Yuliya22 [10]

Answer:

81000

Step-by-step explanation:

You need to fill in 4 in the given formula.

f(4) = 1000 * 3^4 = 81000

4 0
3 years ago
Read 2 more answers
-4 and a y intercept at 3
scoundrel [369]

Answer:

f(x)=-4x+3

Step-by-step explanation:

Assuming you're talking about f(x)=mx+b. b is y intercept. So f(x)=mx+3. You substitute m for -4, as you said, and we get f(x)=-4x+3

5 0
1 year ago
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