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4 years ago

10

Describe methods you can use to show a proportional relationship between two variables ,x and y. Each method, explains how you c

an find the unit rate and the slope.

1 answer:

ivann1987 [24]4 years ago

8 0

Answer: Find answer and explanation in the attached document.

Step-by-step explanation:

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Explain how to use a net to find the surface area of a prism

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Answer:

use a net to fin surface area of a prism by multyplying 10 to the power of 50

Step-by-step explanation:

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3 years ago

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What inverse operations are used to solve the equation? 2x + 2 = 10

mestny [16]

Answer:

C

Step-by-step explanation:

You basically have to get X by itself. So you subtract 2 to both sides giving you 2X = 8. Then you divide 2 to both sides give you X = 4.

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3 years ago

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Maggie has 3 binders with 25 stamps in each binder She has 5 binders with 24 baseball cards in each binder. if she gives 35 stam

madreJ [45]

Your goal of this problem is to find the total amount of cards and stamps and then subtract 35 stamps from that number.

To do this, you first must find your total stamps.

3 binders x 25 stamps = ________ Total Stamps

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Now take these two totals and add them to find your grand total of items.

______ Total Cards + _______Total Stamps = ________ Grand Total

Now take your grand total and subtract 35 from it to find your answer.

_______ Grand Total - 35 stamps = _______Answer!!! :)

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3 years ago

A cake is removed from a 310°F oven and placed on a cooling rack in a 72°F room. After 30 minutes the cake's temperature is 220°

Fynjy0 [20]

Answer:

The time is 135 min.

Step-by-step explanation:

For this situation we are going to use Newton's Law of Cooling.

Newton’s Law of Cooling states that the rate of temperature of the body is proportional to the difference between the temperature of the body and that of the surrounding medium and is given by

$T(t)=C+(T_0-C)e^{kt}$

where,

C = surrounding temp

$T(t)$ = temp at any given time

t = time

$T_0$ = initial temp of the heated object

k = constant

From the information given we know that:

Initial temp of the cake is 310 °F.
The surrounding temp is 72 °F.
After 30 minutes the cake's temperature is 220 °F.

We want to find the time, in minutes, since the cake's removal from the oven, at which its temperature will be 100°F.

To do this, first, we need to find the value of k.

Using the information given,

$220=72+(310-72)e^{k\cdot 30}\\\\72+238e^{k30}=220\\\\238e^{k30}=148\\\\e^{k30}=\frac{74}{119}\\\\\ln \left(e^{k\cdot \:30}\right)=\ln \left(\frac{74}{119}\right)\\\\k\cdot \:30=\ln \left(\frac{74}{119}\right)\\\\k=\frac{\ln \left(\frac{74}{119}\right)}{30}$

$T(t)=72+(310-72)e^{(\frac{\ln \left(\frac{74}{119}\right)}{30}\cdot t)}$

Next, we find the time at which the cake's temperature will be 100°F.

$100=72+(310-72)e^{(\frac{\ln \left(\frac{74}{119}\right)}{30}\cdot t)}\\72+238e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=100\\238e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=28\\e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}=\frac{2}{17}\\\ln \left(e^{\frac{\ln \left(\frac{74}{119}\right)}{30}t}\right)=\ln \left(\frac{2}{17}\right)\\\frac{\ln \left(\frac{74}{119}\right)}{30}t=\ln \left(\frac{2}{17}\right)\\t=\frac{30\ln \left(\frac{2}{17}\right)}{\ln \left(\frac{74}{119}\right)}\approx 135.1$

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3 years ago

Daniel walked 2/5 mile in 1/4 hour. How fast did he walk, in miles per hour?

Marina86 [1]

Answer:

Step-by-step explanation:

$v=\frac{d}{t}\\ \\ v=\frac{\frac{2}{5}}{\frac{1}{4}}\\ \\ v=\frac{2}{5}\left(\frac{4}{1}\right)\\ \\ v=\frac{8}{5}\\ \\ v=1.6\ \frac{mi}{hr}$

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3 years ago