Y=x^2-6x+12 whats (x,y)

You want to quit your job and go back to school for a law degree 4 years from now, and you plan to save $3,500 per year, beginni

Westkost [7]

Hi !

You plan to save $3,500

It pays +5.7% each year.

After 4 years, you will have : $3,500\times1,057^4\approx \$4,369$

8 0

3 years ago

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

3 0

3 years ago

the base of a right rectangular prism has an area of 173.6 square centimeters and height of 9 centimeters. What is the volume, i

saw5 [17]

The formula for the volume of a rectangular prism is: l*w*h (length*width*height)

Since the Base area of a 3D figure is always the length times width of the bottom face, all we need to do to find the volume is multiply the Base area by the height.

173.6 (9) = 1562.4 cubic cm

3 0

3 years ago

A newspaper writer will write an article about the mean age of voters. She will estimate by selecting a sample of voters and cal

KengaRu [80]

The answer is B.

The mean is the average so, in this case, the average age of the voters. To get the average the person must take 100 random people who voted, as taking any others will not give them the average age.

3 0

3 years ago

Read 2 more answers

Question 4 of 5: Drivers who text spend about 10% of their driving time outside their own driving lane.

Mnenie [13.5K]

Drivers who text spend about 10% of their driving time outside their own driving lane. True

<h3>Briefing:</h3>

It is accurate to say that 10% of the time texting while driving is spent in the incorrect lane. Driving while texting is extremely risky because it diverts the driver's attention from the road, making it impossible for him to see. According to research, 60% of people use cell phones while driving, making texting while driving a serious issue.

Using a phone while driving raises the likelihood of an accident.

Texting or using a phone in any other way has regularly been connected by researchers to higher risk. Talking on a telephone while driving has been linked to an increased crash risk in certain studies, but not all.

One of the major causes of many traffic collisions is using a cell phone while driving. Due to how distracting cell phone use is to a person's attention and mental focus, it is illegal to use a cell phone while driving in many nations.

To know more about Safety rule visit:

brainly.com/question/27849771

#SPJ4

4 0

2 years ago