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anygoal [31]
3 years ago
10

You have 3434 of a pie leftover after your party. Each guest takes home 1616 of the leftover pie.

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
7 0
You would have 1818 of pie left over...... I do not know the fraction of it
noname [10]3 years ago
4 0
8/17 is the fraction in it's most simplified form.
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I need the answer for this​
klio [65]

Answer:

the second one would be the answer

7 0
3 years ago
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
A telescope contains both a parabolic mirror and a hyperbolic mirror. They share focus ​, which is 46feet above the vertex of th
uranmaximum [27]

the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.

The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.

In terms of hyperbola, F1F2=2c, c=20.

The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.

Use formula c^2=a^2+b^2c

2

=a

2

+b

2

to find b:

\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}

(20)

2

=(18)

2

+b

2

,

b

2

=400−324=76

.

The branches of hyperbola go in y-direction, so the equation of hyperbola is

\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1

b

2

y

2

−

a

2

x

2

=1 .

Substitute a and b:

\dfrac{y^2}{76}- \dfrac{x^2}{324}=1

76

y

2

−

324

x

2

=1 .

7 0
3 years ago
A rectangular room measures 14 feet by 144 inches. Edgar said the area of the room is 2,016 square feet. Explain his mistake, th
valina [46]
Change the inches into feet. There are 12 inches in a foot so divide 144 by 12. That gives you 12, so then multiply 12 by 14. You are left with 168 feet.
4 0
3 years ago
Read 2 more answers
Which graph is the graph of f(x) = -3|x+2|?
nata0808 [166]
The 3rd one because you have to get the y-intercept also which is -6
4 0
3 years ago
Read 2 more answers
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