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3 years ago

NEED HELP ASAP WILL GIVE BRAINLIEST IF ANSWERED WITHIN 5 MINUTES

Mathematics

1 answer:

Andrews [41]3 years ago

7 0

Answer:

D. 9 is the correct answer

Step-by-step explanation: they use 3 + 6 to get up the same amount as they did once so your going up twice so do 3 + 6 (9) twice to get to BC.

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traveling at 65 miles per hour, how many minutes rounded to the nearest whole number, does it take to drive 125 miles from San D

Anika [276]

65 miles per hour meaning 65 miles in 60 minutes

65/60 = 1.083mile per minute

125/ 1.083 = 115.4 minutes to drive from san diego to malibu

check

115.4 x 1.083 = 124.97 (round up)

= 125

therefore it takes 115.4 minutes to drive from San Diego to Malibu

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4 years ago

The growth of plants in one week are recorded for 6 plants with a sample standard deviation of 4inches and sample mean of 11 inc

bekas [8.4K]

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3 years ago

$100000 for 3 years at 9% compounded annually

user100 [1]

Answer:

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3 years ago

Solve the initial value problem

tigry1 [53]

$9(t+1)\dfrac{\mathrm dy}{\mathrm dt}-7y=14t\implies\dfrac{\mathrm dy}{\mathrm dt}-\dfrac7{9(t+1)}y=\dfrac{14t}{9(t+1)}$

Look for an integrating factor $\mu(t)$ :

$\ln\mu=\displaystyle-\frac79\int\frac{\mathrm dt}{t+1}=-\frac79\ln(t+1)\implies\mu=(t+1)^{-7/9}$

Multiply both sides by $\mu$ :

$(t+1)^{-7/9}\dfrac{\mathrm dy}{\mathrm dt}-\dfrac79(t+1)^{-16/9}y=\dfrac{14}9t(t+1)^{-16/9}$

Condense the left side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}$

Integrate both sides:

$(t+1)^{-7/9}y=\displaystyle\frac{14}9\int t(t+1)^{-16/9}\,\mathrm dt$

For the integral on the right, substitute

$u=t+1\implies t=u-1\implies\mathrm dt=\mathrm du$

$\displaystyle\int t(t+1)^{-16/9}\,\mathrm dt=\int(u-1)u^{-16/9}\,\mathrm du$

$\displaystyle=\int\left(u^{-7/9}-u^{-16/9}\right)\,\mathrm du=\frac92u^{2/9}+\frac97u^{-7/9}+C$

$\implies(t+1)^{-7/9}y=\dfrac{14}9\left(\dfrac92(t+1)^{2/9}+\dfrac97(t+1)^{-7/9}+C\right)$

$\implies(t+1)^{-7/9}y=7(t+1)^{2/9}+2(t+1)^{-7/9}+C$

$\implies y=7(t+1)+2+C(t+1)^{7/9}=7t+9+C(t+1)^{7/9}$

Given that $y(0)=12$ , we get

$12=9+C\implies C=3$

$\implies\boxed{y(t)=7t+9+3(t+1)^{7/9}}$

6 0

3 years ago

WhT what is the average of 120,90,95,100

Anarel [89]

101.25 , you add all the numbers up and divide by how many numbers set contains ... so 405/4=101.25

3 0

3 years ago

Read 2 more answers