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3 years ago

#3022 geometry question

Mathematics

1 answer:

iragen [17]3 years ago

3 0

1) is ABC and XYZ
2) is ABC and RQP I’m not sure about this one though

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Find the area between y=(x-2)ex and the x-axis from x=2 to x=4.

mojhsa [17]

Answer:

$e^4+e^2$

Step-by-step explanation:

It can be found by integral.

First let's find the intersection points.

$(x-2)e^x = 0$

Only intersection point is x = 2.

And it is asked to find the area in the interval (2, 4).

$\int\limits^4_2 (x-2)e^x \,dx=?$

We will use integration by parts.

$x-2=u\\dx=du\\e^xdx=dv\\e^x=v$

$\int\limits^4_2 (x-2)e^x \,dx=uv-\int vdu=(x-2)e^x-\int e^xdx=(x-2)e^x-e^x=\\\\=(x-3)e^x|^4_2=(4-3)e^4-(2-3)e^2=e^4+e^2$

3 0

3 years ago

Which statement best describes the graph of this polynomial function f(x)=x^4+x^3-2x^2

jenyasd209 [6]

Answer:

See below description.

Step-by-step explanation:

The function $f(x) = x^4+x^3-2x^2$ has the following characteristics:

Factors: $x^2(x+2)(x-1)$
Zeros/roots: x=0, x=-2, amd x=1
Positive leading coefficient
Graph starts up, curves down through -2 on the x-axis and back up to 0 where it touches and curves down and back up again again. It comes down back through 1 and crosses.
Its graph s the shape of a W.
It has minimum values at -2.83 and -0.397

3 0

2 years ago

What’s the area of this figure

kvasek [131]

Answer:

743.25m^2

Step-by-step explanation:

Area of triangle = 1/2bh

= 1/2 x 30 x 26

= 390

Area of semi circle = 1/2 πr^2

= 1/ 2 x 3.14 x 15 x15

=353.25m^2

= 390 + 353.25

= 743.25m^2

8 0

2 years ago

Read 2 more answers

A rectangular parking lot is enclosed by concrete barriers 5 feet long. There are 160 barriers in total. Determine the maximum a

LuckyWell [14K]

Well you just multiply 5 by 160 and get 800ft

6 0

2 years ago

You are playing a board game with a friend. She owns and has developed the tiles Green Gardens and Silver Sidewalks. If you roll

IgorC [24]

Answer:

The expected value can be calculated as:

Es = x₁*p₁ + x₂*p2 + .....

where xₙ is the event (the amount of money that you win or lose, and pₙ is the probability for the event)

for example, in a 10 side dice, the probability of obtaining a specific number is 1/10.

we have a d10 i guess (a dice with 10 sides, 1 to 10)

if you roll from 1 to 7, nothing happens.

If you roll an 8, you lose $1500

if you roll a 9, you lose $75

if you roll a 10, you lose $2000 (and the game)

the expected value is,

Es = 1/10*(7*0 - 1*$1500 - 1*$75 - 1*$2000) = -$357

in the second case, you start paying $500.

if you roll a 7, you must pay $1000, if else, nothing happens.

Then the expected value is

Es = -$500 - 1/10*(-1*$1000 + 9*$0) = -$600

So the expected value is smaller in this case, so the deal is not fair

7 0

3 years ago