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3 years ago

What is 2x (to the second power)y (to the fourth power ) times 4x (squared) y (to the fourth power) times 3x over 3x (negative t

hird power) y(squared)

Mathematics

1 answer:

Oxana [17]3 years ago

5 0

$2x^2y^4*4x^2y^4*\frac{3xy^2}{3x^{-3}}= 8x^4y^8* \frac{3xy^2}{1}*\frac{3x^3}{1}= \\\\ =8x^4y^8*9x^4y^2= \\\\ =\boxed{72x^8y^{10}}$

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Find the volume of the pyramid below. 7.2 in 9.7 in

kumpel [21]

Answer:

23.28 inches (im not sure if this is correct because you need length, height, and width.)

Step-by-step explanation:

lwh

4 0

3 years ago

Suppose you budgeted $2800 for fuel expenses for the year. How many miles could you drive if gas were $2.70 per gallon and your

Julli [10]

Answer:

29037.036 miles

Step-by-step explanation

There are two possible ways to solve this problem.

The first option starts with the $2800 dollars for the years. You first want to divide this by $2.70, because it will give you the amount of gallons of gas you can buy with that money.

2800/2.70 = 1037.037

This means you can buy 1037.037 gallons of gas in the year. Now you need to convert this to miles by multiplying by the amount of miles per gallon.

1037.037 x 28 = 29037.036 gallons

The second way to look at this is dimensional analysis. If you have learned this, then continue on reading this, but if you haven't I might only confuse you. I only suggest this because it can make it a little easier.

For the dimensional analysis, you need to start with what you are given and move to what you need to know, so you will start with the $2800 dollars and move to gallons. $2.70 per gallon and 28 miles per gallon are your conversion factors.

Set it up like this:

$2800 dollars * \frac{1 gallon}{2.70 dollars} * \frac{28 miles}{1 gallon} = 29037.036 miles$

This allows the equation to be more organized, and you can check your work by canceling the units.

Hope this helps.

3 0

2 years ago

You are given 3 to 1 odds against tossing three tails with three coins, meaning you win $3 if you succeed and you lose $1 if

valentina_108 [34]

Step-by-step explanation:

To find the E(X) expected value, you come up with the different probabilities for each outcome
your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
Each element has a probability of 1/8 so let x represent number of tails
$Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}$
The E(x)=Summation (x times P(x))
$E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5$
Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
So you can expect to lose money in 1 game
But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games

8 0

3 years ago

A certain dodgeball court is a circle with a square perfectly inscribed inside it. the square represents the playing field, whil

cluponka [151]

Exactly 8*pi - 16
Approximately 9.132741229 For this problem, we need to subtract the area of the square from the area of the circle. In order to get the area of the circle, we need to calculate its radius, which will be half of its diameter. And the diameter will be the length of the diagonal for the square. And since the area of the square is 16, that means that each side has a length of 4. And the Pythagorean theorem will allow us to easily calculate the diagonal. So: sqrt(4^2 + 4^2) = sqrt(16 + 16) = sqrt(32) = 4*sqrt(2) Therefore the radius of the circle is 2*sqrt(2). And the area of the circle is pi*r^2 = pi*(2*sqrt(2)) = pi*8 So the area of the rest areas is exactly 8*pi - 16, or approximately 9.132741229

6 0

3 years ago

Which point on the graph shows the amount of water in the bucket after 1 second? Hint: Type your answer in the form (x coordinat

Taya2010 [7]

Answer:

$\displaystyle \left(1,\frac{5}{12}\right)$

Step-by-step explanation:

Graphs

The graph shows the amount of water in gallons as a function of time in seconds.

We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.

Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

$w=mt+b$