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3 years ago

The table below shows the relationship between quiz scores and study time (in hours) for each 20-point

Mathematics

1 answer:

yaroslaw [1]3 years ago

8 0

Answer:

Step-by-step explanation:

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The table represents an exponential function.

devlian [24]

Hello,
$f(1)=2\\
f(2)= \dfrac{2}{5} =2*5^{-1}\\
f(3)= \dfrac{2}{25} =2*5^{-2}\\
f(4)= \dfrac{2}{125} =2*5^{-3}\\\\

\boxed{f(x)= 2*5^{-x}} \\


$

4 0

3 years ago

Find the length of the hypotenuse of a right triangle with legs of 4 and 3. A).5 B).6 C).7 D).8

iogann1982 [59]

4×4=16

3×3=9

16+9=25

$\sqrt{25}$

ans =5

4 0

3 years ago

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV

JulijaS [17]

Answer:

$\frac{dT}{dt}=3.78^{\circ}K/min$

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

$\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}$

What we have to do is the derivative of a product:

$\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}$

Substituting, we have:

$\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}$

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

$\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}$

And then just calculate:

$\frac{dT}{dt}=3.78^{\circ}K/min$

6 0

3 years ago

Eleven less than 5 times a number is 24

aleksandrvk [35]

Algebraically, that would be 5n - 11 = 24

6 0

3 years ago

Consider a tree T storing 100,000 entries. What is the worst-case height of T in the following cases?

Darina [25.2K]

Answer:

Step-by-step explanation:

a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.

b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.

c.) A red-black tree with 100,000 entries is 2 log 100, 000

d.) The worst-case height of T is 100,000.

e.) A binary search tree storing such a set would have a worst-case height of 100,000.

6 0

4 years ago