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Fiesta28 [93]
4 years ago
15

Average Joe goes to a community college for an interview. He wants to train for a career with a lot of openings. One career they

suggest is
Mathematics
1 answer:
mojhsa [17]4 years ago
4 0

Answer:

Careers they can suggest include cashiers, hand laborers, janitors, office clerks, customer service representatives, waiters, retail salespeople etc.

Step-by-step explanation:

Firstly, we begin by defining who 'Average Joe' is. Average Joe is a name or nomenclature used in North America to refer to a person who is considered to be ordinary. They are so called because they are 'average', there is nothing about them that is exceptional (no exceptional abilities, attributes, characteristics etc.)

Secondly, there are many a career with lots of openings. As a matter of fact, majority of these openings have their minimum qualification to be a high school diploma or its equivalent. Furthermore, employers usually provide on-the-job training for such openings to cater for any inadequacy on the part of the employee. Such openings include but are not restricted to <u>cashiers</u>, <u>hand laborers</u>, <u>janitors</u>, <u>office clerks</u>, <u>customer service</u> <u>representatives</u>, <u><em>waiters</em></u>, <u>retail salespeople</u> etc. These amongst many other such openings can be suggested to him. He can choose from among these choices or other ones not captured here

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Integrate dx/3sinx+4cosx
german

\displaystyle\int\frac{\mathrm dx}{3\sin x+4\cos x}

A standard approach would be the tangent half-angle substitution:

t=\tan\dfrac x2\implies\mathrm dt=\dfrac12\sec^2\dfrac x2\,\mathrm dx

Then

\sin x=2\sin\dfrac x2\cos\dfrac x2\implies\sin x=\dfrac{2t}{1+t^2}

\cos x=\cos^2\dfrac x2-\sin^2\dfrac x2\implies\cos x=\dfrac{1-t^2}{1+t^2}

from which we get

\mathrm dx=\dfrac2{1+t^2}\,\mathrm dt

So the integral becomes

\displaystyle\int\frac{\frac2{1+t^2}}{\frac{6t}{1+t^2}+\frac{4(1-t^2)}{1+t^2}}\,\mathrm dt=\int\frac{\mathrm dt}{3t+2(1-t^2)}=-\int\frac{\mathrm dt}{2t^2-3t-2}

Rewrite the denominator as

2t^2-3t-2=(2t+1)(t-2)

and expand the integrand into its partial fractions:

\dfrac1{2t^2-3t-2}=\dfrac15\left(\dfrac1{t-2}-\dfrac2{2t+1}\right)

We have

\displaystyle-\frac15\int\frac1{t-2}-\frac2{2t+1}\,\mathrm dt=-\frac15(\ln|t-2|-\ln|2t+1|)+C

=\dfrac15\ln\left|\dfrac{2t+1}{t-2}\right|+C

=\dfrac15\ln\left|\dfrac{2\tan\frac x2+1}{\tan\frac x2-2}\right|+C

6 0
3 years ago
Explain to a Friend Taylor wants to buy a bicycle
dlinn [17]

Answer: No

Step-by-step explanation:

First add the 48.75 and 18.30 together.

second multiply 5.50 by 9

she would only earn 49.50 so she won’t be able to buy the bike and helmet

6 0
3 years ago
What is the value of x?
viktelen [127]

Answer:

x = 113

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

37+54+ x-24 = 180

Combine like terms

67+x = 180

Subtract 67 from each side

67-67+x = 180-67

x =113

6 0
4 years ago
Iiana started to evaluate the function f(x)=2x^2-3x+7 for theinput value 2
Vitek1552 [10]

Answer:

The output for x = 2 is

\therefore f(2)=9

Step-by-step explanation:

Function:

A function is like a machine that gives an output for a given input.

A function has an independent variable which is called the input of the function.

The output for a given input is called the dependent variable.

Here. 'x' independent variable

f(x) is the function dependent variable

f(x)=2x^{2}-3x+7

So Put x = 2 in the f(x)  we get

f(2)=2(2)^{2}-3(2)+7= 2\times 4 -6 +7 = 8+1=9

The output for x = 2 is

\therefore f(2)=9

3 0
4 years ago
How many solutions the system has
velikii [3]

Answer:

one solution

Step-by-step explanation:

the variables doesn't repeat and the numbers aren't the same

3 0
3 years ago
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