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Morgarella [4.7K]
2 years ago
14

10 − 8 ÷ 2 – 2^2 = ?

Mathematics
2 answers:
zhannawk [14.2K]2 years ago
6 0

Answer:

That would be 2

vladimir2022 [97]2 years ago
5 0

Answer:

the answer to this is 2

Step-by-step explanation:

can you mark me as brainliest pls

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Find a solution x = x(t) of the equation x′ + 2x = t2 + 4t + 7 in the form of a quadratic function of t, that is, of the form x(
Temka [501]
The particular quadratic solution to the ODE is found as follows:

x=at^2+bt+c
x'=2at+b

(2at+b)+2(at^2+bt+c)=t^2+4t+7
2at^2+(2a+2b)t+(b+2c)=t^2+4t+7

\begin{cases}2a=1\\2(a+b)=4\\b+2c=7\end{cases}\implies a=\dfrac12,b=\dfrac32,c=\dfrac{11}4

Note that there's also the fundamental solution to account for, which is obtained from the characteristic equation for the ODE:

x'+2x=0\implies r+2=0\implies r=-2

so that x_c=Ce^{-2t} is a characteristic solution to the ODE, and the general solution would be

x=Ce^{-2t}+\dfrac{t^2}2+\dfrac{3t}2+\dfrac{11}4
4 0
3 years ago
How do I solve N(1/5) = 2/15
dem82 [27]
N(1/5) = (2/15)
divide both sides by (1/5)
n = (2/15)/(1/5)
to divide fractions, cross multiply, e.g. (2*5)/(15*1) = 10/15
n = 10/15 = 2/3 or 0.666666.
8 0
3 years ago
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12080 gallons per month into liters per hour
ryzh [129]
Keeping in mind that, there are 3.78 liters in 1 US gallon and say 30days per month and 24 hours in a day.. then

\bf \cfrac{12080~\underline{g}}{\underline{month}}\cdot\cfrac{3.78~liter}{\underline{g}} \cdot \cfrac{\underline{month}}{30~\underline{day}}\cdot \cfrac{\underline{day}}{24~hr}\implies \cfrac{12080\cdot 3.78~liter}{30\cdot 24~hr}
\\\\\\
\cfrac{45662.4~liter}{720~hr}\implies 63.42\frac{liter}{hr}
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7 0
3 years ago
Carlos is filling a spherical balloon with water. if he increases the volume of the balloon from 4,188.79 cubic centimeters to 1
Harrizon [31]

We know that the volume of a sphere of radius r is given by

V=\frac{4}{3}\pi r^3

Now, we have been given the initial volume was 4,188.79 cubic centimeters. Let us find the radius at this time.

Substituting the value of volume in the above equation, we get

4,188.79=\frac{4}{3}\pi r^3\\
\\
4\pi r^3=4,188.79 \times 3\\
\\
r^3=\frac{4188.79 \times 3}{4\pi}\\
\\
r^3=1000\\
\\
r=10

Now, the final volume is given by 14,137.167 cubic centimeters. Thus, we have

14137.167 =\frac{4}{3}\pi r^3\\
\\
4\pi r^3=14137.167  \times 3\\
\\
r^3=\frac{14137.167\times 3}{4\pi}\\
\\
r^3=3375\\
\\
r=15

Now, let us find the surface areas for these two radii.

For r=10

Surface area is given by

S=4\pi r^2\\
\\
S=4\times 3.14 \times (10)^2\\
\\
S=1256 \text{ square centimeters}

Similarly, for

r=15\\
\\
S=4\times 3.14\times (15)^2\\
\\
S=2826 \text{ square centimeters}

Therefore, the increase in the surface area is given by

\Delta S= 2826-1256= 1570 \text{ square centimeters}

Hence, the average rate at which the surface area is changing is given by

\frac{1570}{12}=130.8

Therefore, the average rate at which the surface area is changing is given by 130.8 square centimeters per second.

7 0
3 years ago
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