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3 years ago

A biker rode for 2.5 hr. at an average rate of 12 mi./hr. Find the distance traveled.

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

Answer:

30 miles

Step-by-step explanation:

12x2.5=30

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Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

tensa zangetsu [6.8K]

Answer:

$y=3t^9+C$

Step-by-step explanation:

Given: $\dfrac{dy}{dt}=27t^8$

We want to obtain the general solution of the given differential equation.

$dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C$

The general solution of the differential equation is: $y=3t^9+C$

CHECK:

$\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8$

4 0

3 years ago

Please help me with this problem

choli [55]

You multiply all the numbers together

3 0

3 years ago

a ladder 10 ft long leans against a wall. The foot of the ladder is 8ft from the base of the wall. How high up the wall does the

Alekssandra [29.7K]

Answer:

6 ft.

Step-by-step explanation:

$a^2+8^2=10^2\\a^2+64=100\\a^2+64-64=100-64\\a^2=36\\\sqrt{a^2}=\sqrt{36}\\a=6$

5 0

3 years ago

PLEASE HELP WILL MARK BRAINLY

Alenkinab [10]

Answer:

1: $53750

2: $15975

3: 40

4: 90

5: 51

6a: 20%

6b:204

Step-by-step explanation:

1: to calculate this mulitply 50000*1.075= 53750

2: same deal 15000*1.065=15975

3: We have a ratio of 3:2 and then 60:x because we multiplied the first ratio by 20 to get the 60 in the second we multiply the 2 by 20 as well and get x=40

4: This one is kind of tricky. we know that there are 4 dogs for every 3 cats. We also know that there are 210 animals. This means that 4x+3x=210 solve this and get x=30 you then multiply the ratio 4:3 by 30 and get 120:90

5: 1/5*255=51

5a: 1/5=.2=20%

5b: 255-51=204

5 0

3 years ago

Read 2 more answers

Simplify 15a^2 * 4c * 5ab

gulaghasi [49]

Answer: 300a^3cb

Step-by-step explanation:

$Simplify the following:$$15 \times 4 \times 5 a^{2} c a b$$$$\begin{aligned}&15 a^{2} \times 4 c \times 5 a b=15 a^{2+1} \times 4 c \times 5 b: \\ \\&15 \times 4 \times 5 a^{2+1} c b\end{aligned}$$$$\begin{aligned}&2+1=3 \\ \\&15 \times 4 \times 5 a^{3} c b \end{aligned}$$$$\begin{aligned}&15 \times 4=60 \\ \\&60 \times 5 a^{3} c b\end{aligned}$$$$60 \times 5=300$$Answer:$$300 a^{3} c b$

6 0

2 years ago