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3 years ago

HELLLLLLLLLLLPPPP. I have a test on this on friday and I need to understand it!

Mathematics

1 answer:

kramer3 years ago

5 0

Answer:

The smallest number n could be is 64.

Step-by-step explanation:

35 + 64 = 99

64/8 = 8

$\sqrt{64+225}$ = √289 = 17

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A dog has a mass of 19 kg. What is the mass of the dog in

liq [111]

Answer:c. 1.9 × 10⁴ g

Step-by-step explanation:

6 0

3 years ago

Can some1 pls explain to me how to do this??! Katrina is building a deck. She cuts 3 lengths of wood from a 72-inch board. The f

uysha [10]

Rewriting the question, the given lengths that were cut from the board were 30 3/4 inches, 12 1/4 inches, and 16 1/4 inches. To obtain the remaining length of the board, all of the measurements cut are to be added and subtracted from 72 inches. This is shown below:

30 3/4 + 12 1/4 + 16 1/4 = 237/4 = 59.25 inches.

Remaining length of board = 72 - 59.25 = 12.75 inches.

Therefore, there will be 12.75 inches remaining of the board.

6 0

3 years ago

At 8:00 A.M., Bob started filling a 2,400-gallon pond. At 10:00 A.M., he had filled 1,200 gallons. At what time will the pond

vredina [299]

Answer:

12:00 PM

Step-by-step explanation:

7 0

3 years ago

A cup of coffee at 93 degrees Celsius is placed in a room at 23 degrees Celsius. Suppose that the coffee cools at a rate of 1 de

Alinara [238K]

Answer:

Step-by-step explanation:

The rate of change of temperature of the coffee with respect to time is expressed by the differential equation

dT/dt=k(T−A) when k = -1 and A = 23. The equation will become:

dT/dt = -(T-23)

If the coffee cools at the rate of 1°C per minute, then dT/dt = -1 and T = 70

Substituting into the equation:

-1 = k(70-23)

-1 = 47k

k = -1/47

k = -0.0213

Substituting k = -0.0213 into the original equation, the differential equation will be:

dT/dt=k(T−A)

dT/dt = -0.0213(T-23)

dT/dt = -0.0213T+0.489

To get the value of T, we will use variable separable method

dt = dT/-0.0213T+0.489

Integrate both sides

t = -0.0213ln(-0.0213T+0.489)

At t = 1 minute

1 = -0.0213ln(-0.0213T+0.489)

1/-0.0213 = ln(-0.0213T+0.489)

-46.95 = ln(-0.0213T+0.489)

Apply exp to both sides

e^-46.95 = e^ln(-0.0213T+0.489)

4.073×10^-21= -0.0213T+0.489

-0.0213T = 4.073×10^-21-0.489

-0.0213T = -0.489

T = 0.489/0.0213

T = 22.96°C

5 0

3 years ago

Person A can make a cupcake in 5 minutes, Person B can make a cupcake in 9 minutes. In total they made 168 cupcakes. How many cu

Stolb23 [73]

Answer:

Person A made 108 cupcakes and person B made 60 cupcakes.

Step-by-step explanation:

Person A makes 1 cupcake in 5 minutes.

Say in x minutes A makes : $\frac{x}{5}$ cupcakes

Person B makes 1 cupcake in 9 minutes.

Say in x minutes B makes : $\frac{x}{9}$ cupcakes

Total cupcakes prepared by A and B in x minutes = 168

$\frac{x}{5}+\frac{x}{9}=168$

$\frac{14x}{45}=168$

$x=\frac{168\times 45}{14}=540$

So, cupcakes made by A = $\frac{540}{5}=108$

Cupcakes made by B = $\frac{540}{9}=60$

Person A made 108 cupcakes and person B made 60 cupcakes.

5 0

3 years ago