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Sladkaya [172]
3 years ago
8

(Complete the steps in dividing mixed numbers.)

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:

WHAT THE WHAT

Step-by-step explanation:

Alisiya [41]3 years ago
6 0

Answer:

yes, wholenumber, whole number, whole number, divisor

Step-by-step explanation:

tt

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Sara has a gift box with a volume of 64 in3. The length, width, and height of the box are all y inches. Sara needs to determine
antoniya [11.8K]

Answer:

No, the note papers will not fit the gift box.

Step-by-step explanation:

Given that:

Volume of the gift box = 64 in^3

Length, width and height of the box all are equal to y inches.

Dimensions of note papers = 6 inch by 6 inch

To determine:

Whether the note papers will fit the bottom of the box?

Solution:

Here, we need to find the dimensions of the gift box first.

If the dimensions of gift box are greater than or equal to the dimensions of the note papers, only then the papers will fit into the box.

As per the given question statement, the gift box is in the form of a cube.

Formula for volume of a cube is given as:

Volume = (Side)^3

Side is given equal to y inches.

64 = y^3\\\Rightarrow y = 4\ in

Dimensions of the box are lesser than that of the note papers.

Therefore, <em>the note papers will not fit into the gift box</em>.

6 0
2 years ago
A pond forms as water collects in a conical depression of radius a and depth h. Suppose that water flows in at a constant rate k
Scrat [10]

Answer:

a. dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. πa² ≥ k/∝

Step-by-step explanation:

a.

The rate of volume of water in the pond is calculated by

The rate of water entering - The rate of water leaving the pond.

Given

k = Rate of Water flows in

The surface of the pond and that's where evaporation occurs.

The area of a circle is πr² with ∝ as the coefficient of evaporation.

Rate of volume of water in pond with time = k - ∝πr²

dV/dt = k - ∝πr² ----- equation 1

The volume of the conical pond is calculated by πr²L/3

Where L = height of the cone

L = hr/a where h is the height of water in the pond

So, V = πr²(hr/a)/3

V = πr³h/3a ------ Make r the subject of formula

3aV = πr³h

r³ = 3aV/πh

r = ∛(3aV/πh)

Substitute ∛(3aV/πh) for r in equation 1

dV/dt = k - ∝π(∛(3aV/πh))²

dV/dt = k - ∝π((3aV/πh)^⅓)²

dV/dt = K - ∝π(3aV/πh)^⅔

dV/dt = K - ∝π(3a/πh)^⅔V^⅔

b. Equilibrium depth of water

The equilibrium depth of water is when the differential equation is 0

i.e. dV/dt = K - ∝π(3a/πh)^⅔V^⅔ = 0

k - ∝π(3a/πh)^⅔V^⅔ = 0

∝π(3a/πh)^⅔V^⅔ = k ------ make V the subject of formula

V^⅔ = k/∝π(3a/πh)^⅔ -------- find the 3/2th root of both sides

V^(⅔ * 3/2) = k^3/2 / [∝π(3a/πh)^⅔]^3/2

V = (k^3/2)/[(∝π.π^-⅔(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝π^⅓(3a/h)^⅔)]^3/2

V = (k^3/2)/[(∝^3/2.π^½.(3a/h))]

V = (hk^3/2)/[(∝^3/2.π^½.(3a))]

The small deviations from the equilibrium gives approximately the same solution, so the equilibrium is stable.

c. Condition that must be satisfied

If we continue adding water to the pond after the rate of water flow becomes 0, the pond will overflow.

i.e. dV/dt = k - ∝πr² but r = a and the rate is now ≤ 0.

So, we have

k - ∝πa² ≤ 0 ---- subtract k from both w

- ∝πa² ≤ -k divide both sides by - ∝

πa² ≥ k/∝

5 0
3 years ago
What's the volume and surface area of these two cylinders?
Vesnalui [34]
I swear im not trying to just get points but is this like a pick which is correct cause my answer is  <span>Cylinder B has a diameter of 6 inches and a height of 4 inches.</span>
4 0
3 years ago
Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?
Hunter-Best [27]

Answer:

36 degrees

Step-by-step explanation:

Subtract 54 from 90

7 0
3 years ago
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If the last digit of a number is 0 or 5, then the number is divisible by 10. True False
Whitepunk [10]

Answer:

False

Step-by-step explanation:

15 isn't divisible by 10

3 0
2 years ago
Read 2 more answers
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