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3 years ago

Chart :

1 answer:

7 0

Even though you already know the answer I shall give a simple explanation.
Yes you are correct it is A) Y= 1.09x
Because
3 x 1.09 = 3.27
4 x 1.09 = 4.36
And so on, Because the number mulitplied with it is the same as the y.
It wouldnt be B because
3 + 1.09 = 3.09 Which isnt correct on the table
Same for all the other answers because subtracting and dividing it doesnt give the correct answer which is on the chart. Mulitplying does. So its A) y= 1.09 x

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A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

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3 years ago

Explain why the square root of 64 has a positive and negative value.

weeeeeb [17]

Since the square root of 64 is 8, 8 has an absolute value, so it can be opposites as it, eg. 8 = -8.

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3 years ago

. Mallorie has $12 in her wallet. If this is 20% of her monthly allowance, what is her monthly allowance?

Mademuasel [1]

Answer:

kgalante.weebly.com/uploads/2/3/5/7/23573232/homework_practice_solve_percent_problems_answers.pdf

Step-by-step explanation: this will help you out

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2 years ago

Madison is hiking a trail that is 1.6 miles long if she has already hiked 0.4 of the trail what distance dose she still need to

pentagon [3]

Total distance = 1.6 miles

Madison has already hiked 0.4 miles

Miles left = 1.6 - 0.4 = 1.2 miles left

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3 years ago

A 500500-gallon tank initially contains 200200 gallons of brine containing 100100 pounds of dissolved salt. brine containing 11

mixer [17]

Let $A(t)$ denote the amount of salt in the tank at time $t$ . We're given that the tank initially holds $A(0)=100$ lbs of salt.

The rate at which salt flows in and out of the tank is given by the relation

$\dfrac{\mathrm dA}{\mathrm dt}=\underbrace{\dfrac{11\text{ lb}}{1\text{ gal}}\times\dfrac{44\text{ gal}}{1\text{ min}}}_{\text{rate in}}-\underbrace{\dfrac{A(t)}{200+(44-11)t}\times\dfrac{11\text{ gal}}{1\text{ min}}}_{\text{rate out}}$
$\implies A'(t)+\dfrac{11}{200+33t}A(t)=484$

Find the integrating factor:

$\mu(t)=\exp\left(\displaystyle\int\frac{11}{200+33t}\,\mathrm dt\right)=(200+33t)^{1/3}$

Distribute $\mu(t)$ along both sides of the ODE:

$(200+33t)^{1/3}A'(t)+11(200+33t)^{-2/3}A(t)=484(200+33t)^{-1/3}$
$\bigg((200+33t)^{1/3}A(t)\bigg)'=484(200+33t)^{-1/3}$
$A(t)=484\displaystyle\int(200+33t)^{-1/3}\,\mathrm dt$
$A(t)=22(200+33t)^{2/3}+C$

Since $A(0)=100$ , we get

$100=22(200)^{2/3}+C\implies C\approx-652.39$

so that the particular solution for $A(t)$ is

$A(t)=22(200+33t)^{2/3}-652.39$

The tank becomes full when the volume of solution in the tank at time $t$ is the same as the total volume of the tank:

$200+(44-11)t=500\implies 33t=300\implies t\approx9.09$

at which point the amount of salt in the solution would be

$A(9.09)\approx733.47\text{ lb}$

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3 years ago