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3 years ago

Hello! Question.

Mathematics

1 answer:

Bumek [7]3 years ago

8 0

If I’m analyzing the question correct, you would pay 912 in total

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a pronghorn antelope can travle 105 miles 3 hours . if continuted travleing at the same speed how far can a proghorn travle in 1

alexdok [17]

Answer:

385

Step-by-step explanation:105÷3=35 35×11=385

4 0

2 years ago

Last month, Steven had $4285.68 that he divided into two accounts. He deposited 1/3 into a savings account. He deposited the res

serg [7]

3/3-1/3=2/3 in checking account

1/3=4285.68/3=1428.56 in his saving account
2/3=1428.56x2=$2857.12 in his checking account#

hope this helps!/

4 0

3 years ago

A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound o

sertanlavr [38]

Answer:

Step-by-step explanation:

From the given information:

$R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min$

Given that the solution is pumped at a slower rate of 4gal/min

Then:

$R_{out} = \dfrac{4A}{100+(6-4)t}$

$R_{out}= \dfrac{2A}{50+t}$

The differential equation can be expressed as:

$\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)$

Integrating the linear differential equation; we have::

$\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|$

$\int_c \dfrac{2}{50 +t}dt = (50+t)^2$

multiplying above integrating factor fields; we have:

$(50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2$

$\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2$

$(50 + t)^2 A = (50 + t)^3+c$

A = (50 + t) + c(50 + t)²

Using the given conditions:

A(0) = 20

⇒ 20 = 50 + c (50)⁻²

-30 = c(50) ⁻²

c = -30 × 2500

c = -75000

A = (50+t) - 75000(50 + t)⁻²

The no. of pounds of salt in the tank after 35 minutes is:

A(35) = (50 + 35) - 75000(50 + 35)⁻²

A(35) = 85 - $\dfrac{75000}{7225}$

A(35) =69.6193 pounds

A(35) $\simeq$ 70 pounds

Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.

6 0

3 years ago

The mean life of a particular brand of light bulb is 1200 hours. if you know that at about 95% of this brand of bulbs will last

Snowcat [4.5K]

<span>204
First, lookup a standard normal table and see what the z-score is for 0.025 (one half of 100% - 95%) to allow for equal sized tails. You should find that the z-score is 1.96. That means that 95% of the time, the value should be within 1.96 standard deviations of the mean. Now let's calculate the standard deviation. 800 is 800 - 1200 = -400 to the left of the mean of 1200. 1600 is 1600 - 1200 = 400 to the right of the mean of 1200. So we are an equal distance of 400 on both sides of the mean. And we know from the z-score of 1.96, that we're 1.96 standard deviations from the mean. So a little division will give us the standard deviation. Which is: 400 / 1.96 = 204.0816327
So the standard deviation of the light bulbs is 204</span>

4 0

3 years ago

Solve (2-3x) /5 < x+2

UkoKoshka [18]

Answer:

x>-1

Step-by-step explanation:

3 0

4 years ago