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3 years ago

What is another way to write this number 300+70+1/5+8/100

Mathematics

1 answer:

barxatty [35]3 years ago

3 0

Answer:

370.28

Step-by-step explanation:

you add the two whole numbers then you add the two fractions and make them a decimal after that put it all together and u get the answer

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Use the definition of the derivative to differentiate f(x)= In x

WINSTONCH [101]

By def. of the derivative, we have for y = ln(x),

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac{\ln(x+h)-\ln(x)}{h}$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \frac1h \ln\left(\frac{x+h}{x}\right)$

$\displaystyle \frac{dy}{dx} = \lim_{h\to0} \ln\left(1+\frac hx\right)^{\frac1h}$

Substitute y = h/x, so that as h approaches 0, so does y. We then rewrite the limit as

$\displaystyle \frac{dy}{dx} = \lim_{y\to0} \ln\left(1+y\right)^{\frac1{xy}}$

$\displaystyle \frac{dy}{dx} = \frac1x \lim_{y\to0} \ln\left(1+y\right)^{\frac1y}$

Recall that the constant e is defined by the limit,

$\displaystyle e = \lim_{y\to0} \left(1+y\right)^{\frac1y}$

Then in our limit, we end up with

$\displaystyle \frac{dy}{dx} = \frac1x \ln(e) = \boxed{\frac1x}$

In Mathematica, use

D[Log[x], x]

5 0

3 years ago

What is the solution to the equation

Colt1911 [192]

Answer:

x = $\frac{2}{3}$

Step-by-step explanation:

Given

- $\frac{5}{4}$ x + $\frac{2}{5}$ = - $\frac{13}{30}$

Multiply through by 60 ( the lcm of 4, 5 and 30) to clear the fractions

- 75x + 24 = - 26 ( subtract 24 from both sides )

- 75x = - 50 ( divide both sides by - 75 )

x = $\frac{-50}{-75}$ = $\frac{2}{3}$

6 0

3 years ago

Read 2 more answers

I need a full explanation on -(i^2)<br> I know it equals 1, but how?

Oksanka [162]

I^2 is negative 1, but I see you have a negative sign there. So it is -(-1), which is 1.

7 0

3 years ago

Let x be an even integer. What is the product of the next two consecutive even integers?

Ymorist [56]

X represents the even integerx + 2 represents the next even integerx + 4 represents the next even integer The product of the next two even integers(x + 2)(x + 4)x2 + 6x + 8 FOIL

5 0

4 years ago

Damerly Company (a Utah employer) wants to give a holiday bonus check of $250 to each employee. Since it wants the check amount

Marat540 [252]

Answer:

Withholding taxes

Federal income tax withheld= $100.24

OASDI tax withheld=$24.86

HI tax withheld=$5.81

Utah income tax withheld=$20.05

Gross amount= $400.96

Step-by-step explanation:

Amount per employee(desired net pay)= $250.00

Federal rate=25%=0.25

OASDI tax=6.2%=0.062

HI tax witheld= 1.45%=0.0145

Utah income tax=5%=0.05

Combined taxes= 0.25+0.062+0.0145+0.05=0.3765

Gross pay=Desired net pay/(1-all taxes)

Gross pay= 250/(1-0.3765)=250/0.6235=400.96

Working backwards

Since we have gross bonus of $400.96

Federal income tax withheld is 0.25of$400.96= $100.24

OASDI tax is 0.062of$400.96=$24.86

HI tax is 0.0145of$400.96=$5.81

Utah income tax is 0.05of$400.96=$20.05

Total deductions=$100.24+$24.86+$5.81+$20.05= $150.96

Net income is $400.96-$150.96= $250.00

6 0

3 years ago