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4 years ago

6

HELP QUICK PLEASE!!!

1 answer:

ehidna [41]4 years ago

4 0

Answer:

$b=19\ ounces$

Step-by-step explanation:

<u>System Of Equations </u>

We know the scale shows a false reading for the weights by a constant value. Let's call e the weight it adds or subtracts from the real weight it measures.

When the box is put on the scale, the real weight is b, but the scale shows

$b+e=15$

When the bag is weighted, the real value is g, but the scale shows

$g+e=12$

Finally, when both are measures, the real weight is b+g and the scale shows

$b+g+e=31$

We have formed a system of equations. It's easy to find the value of b, we just need to subtract the last two equations

$b+g+e-g-e=31-12$

$\boxed{b=19\ ounces}$

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

4 0

3 years ago

T is between points P and B. PB=35 and TB=12. What is PT? 12 23 17 57

AnnZ [28]

Maybe try using a converter

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3 years ago

Steve puts an 18-foot ladder against his house. The ladder reaches a height of 15 feet on the house. How far is the bottom of th

krek1111 [17]

Answer:

$3 \sqrt{11}$

Step-by-step explanation:

Since we are given the hypotenuse which is 18 since it slanted, and leans on the house. And we are given one of the legs which is 15 since it is vertical. We can use the pythagorean theorem to solve for this problem.

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Let plug it in

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${a}^{2} = 99$

$a = \sqrt{99}$

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$a = 3 \sqrt{11}$

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3 years ago

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Murrr4er [49]

Answer:

Step-by-step explanation:

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3 0

3 years ago

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Answer:

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3 years ago