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rewona [7]
4 years ago
12

Which statement describes the term salary

Mathematics
1 answer:
larisa86 [58]4 years ago
3 0

Answer:  Best described as a fixed amount of income that is paid to an someone weekly, every other week, or on a  monthly basis. it could also be described as annual earnings paid out over a year.

Step-by-step explanation:

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What is the distance around a triangle with the sides measuring 2⅛, 3½ and 2½?
Marta_Voda [28]
So when you have data given this kind of form... you should convert to decimal first.
So that would be:
a ≈ 2.12
b = 3.5
c = 2.5
Now just place the simple perimeter formula, and sum all sides.
7 0
3 years ago
If a parachutist jumped from an airplane flying at an altitude of 10,000 feet and fell at an average free fall speed of 158 feet
scZoUnD [109]
The answer is -2,686

let me tell you why !

the answer would be negative, since the parachutist is descending. so 158 × 17 = 2,686

make that negative.

you get -2,686 !!!! hope that helps :)))
7 0
3 years ago
Use the figure below to complete the following problem Given : R,S,T are midpoints of AC, AB, and CB.
Nikolay [14]

Answer:

answer=RT

Step-by-step explanation:

because

3 0
3 years ago
Read 2 more answers
Find AB using the given matrices.
solniwko [45]

The entry in row 1, column 1 of \mathbf{AB} is

\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}5\\6\end{bmatrix}=2\cdot5+4\cdot6=34

(i.e. the dot product of row 1 of \mathbf A and column 1 of \mathbf B)

The entry in row 1, column 2 of \mathbf{AB} is

\begin{bmatrix}2&4\end{bmatrix}\begin{bmatrix}-9\\-4\end{bmatrix}=2\cdot(-9)+4\cdot(-4)=-34

The second option is the correct answer.

5 0
3 years ago
can someone show me how to find the general solution of the differential equations? really need to know how to do it for the upc
mariarad [96]
The first equation is linear:

x\dfrac{\mathrm dy}{\mathrm dx}-y=x^2\sin x

Divide through by x^2 to get

\dfrac1x\dfrac{\mathrm dy}{\mathrm dx}-\dfrac1{x^2}y=\sin x

and notice that the left hand side can be consolidated as a derivative of a product. After doing so, you can integrate both sides and solve for y.

\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1xy\right]=\sin x
\implies\dfrac1xy=\displaystyle\int\sin x\,\mathrm dx=-\cos x+C
\implies y=-x\cos x+Cx

- - -

The second equation is also linear:

x^2y'+x(x+2)y=e^x

Multiply both sides by e^x to get

x^2e^xy'+x(x+2)e^xy=e^{2x}

and recall that (x^2e^x)'=2xe^x+x^2e^x=x(x+2)e^x, so we can write

(x^2e^xy)'=e^{2x}
\implies x^2e^xy=\displaystyle\int e^{2x}\,\mathrm dx=\frac12e^{2x}+C
\implies y=\dfrac{e^x}{2x^2}+\dfrac C{x^2e^x}

- - -

Yet another linear ODE:

\cos x\dfrac{\mathrm dy}{\mathrm dx}+\sin x\,y=1

Divide through by \cos^2x, giving

\dfrac1{\cos x}\dfrac{\mathrm dy}{\mathrm dx}+\dfrac{\sin x}{\cos^2x}y=\dfrac1{\cos^2x}
\sec x\dfrac{\mathrm dy}{\mathrm dx}+\sec x\tan x\,y=\sec^2x
\dfrac{\mathrm d}{\mathrm dx}[\sec x\,y]=\sec^2x
\implies\sec x\,y=\displaystyle\int\sec^2x\,\mathrm dx=\tan x+C
\implies y=\cos x\tan x+C\cos x
y=\sin x+C\cos x

- - -

In case the steps where we multiply or divide through by a certain factor weren't clear enough, those steps follow from the procedure for finding an integrating factor. We start with the linear equation

a(x)y'(x)+b(x)y(x)=c(x)

then rewrite it as

y'(x)=\dfrac{b(x)}{a(x)}y(x)=\dfrac{c(x)}{a(x)}\iff y'(x)+P(x)y(x)=Q(x)

The integrating factor is a function \mu(x) such that

\mu(x)y'(x)+\mu(x)P(x)y(x)=(\mu(x)y(x))'

which requires that

\mu(x)P(x)=\mu'(x)

This is a separable ODE, so solving for \mu we have

\mu(x)P(x)=\dfrac{\mathrm d\mu(x)}{\mathrm dx}\iff\dfrac{\mathrm d\mu(x)}{\mu(x)}=P(x)\,\mathrm dx
\implies\ln|\mu(x)|=\displaystyle\int P(x)\,\mathrm dx
\implies\mu(x)=\exp\left(\displaystyle\int P(x)\,\mathrm dx\right)

and so on.
6 0
4 years ago
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