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boyakko [2]
2 years ago
12

Ike plans to save the same amount in the 12th month as in each of the other months.

Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0
People who never develop symptoms or are not yet showing symptoms (pre-symptomatic) might not know that they are infected but can still spread rona to others. Masks also offer protection to the wearer.
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I need help on this!
erastovalidia [21]

Answer:

1:20

Step-by-step explanation:

Imagine taking 15 minutes off of 55 minutes, that will make it 40 minutes. So you are at 2:00 right now. Subtract the remaining 40 minutes and you will get 1:20

6 0
2 years ago
If Mitchell ate 45 hotdogs in 3 minutes at the annual hot dog eating contest. What is Mitchell’s unit rate?
aleksandrvk [35]
15 hotdogs per minute
4 0
3 years ago
Read 2 more answers
Mr. Rogers has $4.62. He has 3 times as many dimes as nickels and 6 more pennies than dimes. How many coins of each kind does he
Marysya12 [62]
Let’s make x = # of nickels. Then 3x = # of dimes and 3x+6 = # of pennies. A nickel is 5 cents, a dime is 10 cents and a penny is 1 cent.

The money she has should be .05(x) + .10(3x) + .01(3x+6) = 4.62 or to make it simpler: 5(x) + 10(3x) + 1(3x+6) = 462.

5x + 30x + 3x + 6 = 462

38x + 6 = 462

38x = 456

x = 12.

So she has 12 nickels (12 * $0.05 = $0.60), 36 dimes (36 * $0.10 = $3.60) and 42 pennies (42 * $0.01 = $0.42). $3.60 + $0.60 + $0.42 = $4.62.
3 0
3 years ago
Olive Oil costs $8.70 per liter. A restaurant owner buys 5.6 liter of olive oil. How much does the owner pay?
hammer [34]

Answer:

$48.72

Step-by-step explanation:

5.6 liters x $8.70 per liter= $48.72 total cost

7 0
3 years ago
The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi
storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

V = \frac{1}{3}\pi r^{2}h

Differentiate the equation with respect to time t, such that

\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)

To differentiate the product,

Let r² = u, so that

\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)

Then, using product rule

\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]

Since u = r^{2}

Then, \frac{du}{dr} = 2r

Using the Chain's rule

\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}

∴ \frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]

Then,

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

Now,

From the question

\frac{dr}{dt} = 7 m/min

\frac{dV}{dt} = 236 m^{3}/min

At the instant when r = 99 m

and V = 180 m^{3}

We will determine the value of h, using

V = \frac{1}{3}\pi r^{2}h

180 = \frac{1}{3}\pi (99)^{2}h

180 \times 3 = 9801\pi h

h =\frac{540}{9801\pi }

h =\frac{20}{363\pi }

Now, Putting the parameters into the equation

\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]

236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]

236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]

708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}

708 = 30790.75 \frac{dh}{dt} + 76.36

708 - 76.36 = 30790.75\frac{dh}{dt}

631.64 = 30790.75\frac{dh}{dt}

\frac{dh}{dt}= \frac{631.64}{30790.75}

\frac{dh}{dt} = 0.021 m/min

Hence, the rate of change of the height is 0.021 meters per minute.

3 0
3 years ago
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