2 years ago

The volume of a one with a slant height of 50 inches and a diameter of 60 inches (approximate pi

Mathematics

1 answer:

mestny [16]2 years ago

5 0

Answer:

hmgh

Step-by-step explanation:

gghfgh

You might be interested in

Write two expressions that show that decreasing a quantity by 10% is the same as multiplying that quantity by 0.9

Contact [7]

Step-by-step explanation:

x -0.1x = x(1-0.1) = 0.9x

3 0

2 years ago

3. Mrs. Splinter jogged each day in her neighborhood. On Monday

adoni [48]

a) she jogged farther on Tuesday

b)by 30 miles

Step-by-step explanation:33>3, 33-3=30

7 0

3 years ago

A bag has 3 red marbles, 3 blue, 4 green and 2 yellow. What is the theoretical probability of pulling a red marble?

svetlana [45]

Answer:

Fraction: $\frac{1}{4}$

Decimal: 0.25

Percentage: 25%

Step-by-step explanation:

Have a good day :)

4 0

3 years ago

Solve the initial value problem y′+y=f(t),y(0)=0 where f(t)={1,−1, if t<4 if t≥4 Use h(t−a) for the Heaviside function shifte

Anton [14]

Looks like the function on the right hand side is

$f(t)=\begin{cases}1&\text{for }t$

We can write it in terms of the Heaviside function,

$h(t-a)=\begin{cases}1&\text{for }t\ge a\\0&\text{for }t>a\end{cases}$

$f(t)=h(t)-2h(t-4)$

Now for the ODE: take the Laplace transform of both sides:

$y'(t)+y(t)=f(t)$

$\implies s Y(s)-y(0)+Y(s)=\dfrac{1-2e^{-4s}}s$

Solve for Y(s), then take the inverse transform to solve for y(t):

$(s+1)Y(s)=\dfrac{1-e^{-4s}}s$

$Y(s)=\dfrac{1-e^{-4s}}{s(s+1)}$

$Y(s)=(1-e^{-4s})\left(\dfrac1s-\dfrac1{s+1}\right)$

$Y(s)=\dfrac1s-\dfrac{e^{-4s}}s-\dfrac1{s+1}+\dfrac{e^{-4s}}{s+1}$

$\implies y(t)=1-h(t-4)-e^{-t}+e^{-(t-4)}h(t-4)$

$\boxed{y(t)=1-e^{-t}-h(t-4)(1-e^{-(t-4)})}$

4 0

2 years ago

Find the next two terms in the sequence: 3, 6, 12, 24,

Alex73 [517]

Answer:

48 and 96

Step-by-step explanation:

Multiply each number by two

4 0

3 years ago

Read 2 more answers