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umka21 [38]
3 years ago
6

What is (-2^2)^3 This would be very helpful for finishing this assignment.​

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0
The answer is -64 or -2^6
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Write the differential equation model that fits the given description. (a) The rate of change of the volume of a snowball (due t
miskamm [114]

Answer:

a) he rate of change of the volume of a snowball (due to melting) is proportional to the square of the volume at time t. Initially, the snowball has a volume of 900 cm3

\frac{dV(t)}{dT} = A*V(t)^{2} \\ and V(0) = 900cm^{3}

where A is a real constant, it appears because it says that the change i volume (dV/dt) is "proportional" to V(t)^{2}. Furthermore, we should assume that A is a negative number, because the volume of the snowball will decrease as the time pasese by.

(b) For an insect moving along some path, the velocity at time t is proportional to the square root of its position.

\frac{dr(t)}{dt}  = B*\sqrt{r(t)}

Here again appears a constant B for the "proportional" part. And i wrote the velocity as \frac{dr(t)}{dt} "the rate of change of the position with respect to te time".

7 0
3 years ago
The bar diagram represents 24 hours in one day and shows a mark at 30%If you sleep 30% of the day, how many hours do you sleep?
horrorfan [7]

Let:

100%---------------->24h

30%------------------>xh

Using cross multiplication:

\begin{gathered} \frac{100}{30}=\frac{24}{x} \\ solve_{\text{ }}for_{\text{ }}x\colon \\ x=\frac{30\cdot24}{100} \\ x=\frac{720}{100}=7.2h \end{gathered}

8 0
1 year ago
Decide whether the statement is true or false. If it is​ false, explain why. The union of the solution sets of 4xplus5equals13​,
postnew [5]

The given statement is false because it isn't an empty set!

<u>Step-by-step explanation:</u>

We have following sets of inequalities:

4x+5=13\\4x+5>13\\4x+5

From 4x+5=13 we get ,

4x = 8 \\x=2

Therefore solution set is x=2.

Now, for 4x+5>13 we get ,  

4x+5>13 \\4x>8\\x>2

Therefore solution set is x>2.

For 4x+5 we get ,

4x+5

Therefore solution set is x<2.

Now, the union of x=2, x<2 & x>2 is  -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!

4 0
3 years ago
Please help!!!
VikaD [51]
A) Volume of a cube is found by multiplying its side by itself twice.

V = a³
V = 4³ = 4 * 4 * 4
V = 64 ft³

b) 1 cubic foot = 7.48 gallons of water.
total gallons of water = 64 ft³ x 7.48 gallons = 478.72 or 479 gallons rounded up to the nearest gallon.
3 0
3 years ago
Felix was asked whether the following equation is an identity:<br> (x^2-1)^2=(x^2-1)+(2x)^2
Rudiy27

Answer:

The answer is no

Step-by-step explanation:

The equation is not an identity

7 0
3 years ago
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