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2 years ago

HURRYYY i neeeeeddd helppppppppp look at the photo ^^^

Mathematics

2 answers:

Oliga [24]2 years ago

8 0

Can you show a better photo some of the question is cut off

n200080 [17]2 years ago

3 0

Show better photo plz

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PLEASE HELP 25 POINTS!!

iris [78.8K]

Answer:

m= masters degree salary and b=bachelors degree salary.

m = 2b - 45000

m + b = 112000

Substitute to get

2b - 45000 + b = 112000

3b = 156000

b = 52000

So m = 59000

Check to see if these numbers work

59000 = 2*52000 - 45000 true

59000 + 52000 = 112000 true

Step-by-step explanation:

7 0

2 years ago

Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

2 years ago

P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?

Allushta [10]

Answer:

12 cm and 24 cm

Step-by-step explanation:

The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )

The sum is therefore

2x + 4x = 36

6x = 36 ( divide both sides by 6 )

x = 6

Thus

GP = 2x = 2 × 6 = 12 cm

PR = 4x = 4 × 6 = 24 cm

6 0

2 years ago

A bank offers a savings account that currently pays 2% interest per year compounded monthly. The amount of money in the account

LekaFEV [45]

The appropriate choice is ...
.. A. The initial amount in the account does not change because it is a factor that is independent of both the interest rate and t.

_____
In general, each of the variables in a formula is independent of the others. (Occasionally, you'll see a formula where that is not true, but then the "variable" will likely be indicated as a function of those things it is dependent upon.)

6 0

2 years ago

If the sin 30° = , then the cos 60° = _____. 0, because the angles are complementary , because the angles are complementary , be

g100num [7]

Answer:

1 is the answer

Step-by-step explanation:

7 0

2 years ago

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