All categories

3 years ago

Work out 19% of 394.22

Mathematics

1 answer:

saveliy_v [14]3 years ago

6 0

Answer:

74.9018

Step-by-step explanation:

happy holidays and have a nice day!

You might be interested in

What is the area of this parallelogram?

saveliy_v [14]

Answer:140ft2

Step-by-step explanation: area= base times height

Area=14ft . 10ft

Area=140ft2

8 0

3 years ago

Exact volume: Approximate volume:

slamgirl [31]

Answer: Multiplying these factors gives the approximate volume of the original body

Step-by-step explanation:

The given convex body can be approximated by a sequence of nested bodies, eventually reaching one of known volume (a hypersphere), with this approach used to estimate the factor by which the volume changes at each step of this sequence.

4 0

2 years ago

a parking lot contains (2 wheels) and cars (4 wheels). There are 35 vehicles and 114 wheels. How many motorcycles amd cars are t

ELEN [110]

Answer:

There are 13 motorcycles and 22 cars

Step-by-step explanation:

Let x represent the number of motorcycles, and let y represent the number of cars. We can set up a system of equations to solve this...

x + y = 35 (there are a total of 35 vehicles)

2x + 4y = 114 (the total number of tires)

Solve the first equation for either variable...

y = 35 - x

Now substitute that value into the other equation and solve...

2x + 4(35 - x) = 114 (y becomes 35 - x)

Now solve...

2x + 140 - 4x = 114

-2x = -26

x = 13 (there are 13 motorcycles)

Now plug that value into either original equation to solve for y...

13 + y = 35

y = 22 (there are 22 cars(

3 0

3 years ago

Round 7,670 to the nearest hundred.

olga2289 [7]

Answer:

7,700

Step-by-step explanation:

5 or more, raise the score

4 or less, let it rest

4 0

3 years ago

Calculus 2 master needed; stuck on evaluating the integral please show steps <img src="https://tex.z-dn.net/?f=%5Cint%20%7Bsec%2

kakasveta [241]

Answer:

$\int \sec(\frac{x}{2})\tan^5({\frac{x}{2}})dx=\frac{2\sec^5(\frac{1}{2}x)}{5}-\frac{4\sec^3(\frac{1}{2}x)}{3}+2\sec(\frac{1}{2}x)+C$

Step-by-step explanation:

So we have the integral:

$\int \sec(\frac{x}{2})\tan^5({\frac{x}{2}})dx$

First, let's use substitution to get rid of the x/2. I'm going to use the variable y. So, let y be x/2. Thus:

$y=\frac{x}{2}\\dy=\frac{1}{2}dx\\2dy=dx$

Therefore, the integral is:

$=2\int \sec(y)\tan^5(y)dy$

Now, as you had done, let's expand the tangent term. However, let's do it to the fourth. Thus:

$=2\int \sec(y)\tan^4(y)\tan(y)dy$

Now, we can use a variation of the trigonometric identity:

$\tan^2(y)+1=\sec^2(y)$

So:

$\tan^2(y)=\sec^2(y)-1$

Substitute this into the integral. Note that tan^4(x) is the same as (tan^2(x))^2. Thus:

$=2\int \sec(y)(\tan^2(y))^2\tan(y)dy\\=2\int \sec(y)(\sec^2(y)-1)^2\tan(y)dy$

Now, we can use substitution. We will use it for sec(x). Recall what the derivative of secant is. Thus:

$u=\sec(y)\\du=\sec(y)\tan(y)dy$

Substitute:

$2\int (\sec^2(y)-1)^2(\sec(y)\tan(y))dy\\=2\int(u^2-1)^2 du$

Expand the binomial:

$=2\int u^4-2u^2+1du$

Spilt the integral:

$=2(\int u^4 du+\int-2u^2du+\int +1du)$

Factor out the constant multiple:

$=2(\int u^4du-2\int u^2du+\int(1)du)$

Reverse Power Rule:

$=2(\frac{u^{4+1}}{4+1}-2(\frac{u^{2+1}}{2+1})+(\frac{u^{0+1}}{0+1}}))$

Simplify:

$=2(\frac{u^5}{5}-\frac{2u^3}{3}+u)$

Distribute the 2:

$=\frac{2u^5}{5}-\frac{4u^3}{3}+2u$

Substitute back secant for u:

$=\frac{2\sec^5(y)}{5}-\frac{4\sec^3(y)}{3}+2\sec(y)$

And substitute back 1/2x for y. Therefore:

$=\frac{2\sec^5(\frac{1}{2}x)}{5}-\frac{4\sec^3(\frac{1}{2}x)}{3}+2\sec(\frac{1}{2}x)$

And, finally, C:

$=\frac{2\sec^5(\frac{1}{2}x)}{5}-\frac{4\sec^3(\frac{1}{2}x)}{3}+2\sec(\frac{1}{2}x)+C$

And we're done!

7 0

3 years ago

Read 2 more answers

Work out 19% of 394.22​

Work out 19% of 394.22