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serg [7]
3 years ago
12

Look at the attachment please <3

Mathematics
1 answer:
inna [77]3 years ago
6 0
The Answer is B I’m pretty sure
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A rectangle is constructed with its base on the​ x-axis and two of its vertices on the parabola y equals = 100 100 minus −x squa
masha68 [24]

Answer:

Step-by-step explanation:

Given that a rectangle is constructed with its base on the x axis and two of its vertices on the parabola

y=100-x^2

This parabola has vertex at (0,100) and symmetrical about y axis.

Any general point above x axis can be written as (a,b) (-a,b) since symmetrical about yaxis.  

Hence coordinates of any rectangle are

(a,0) (-a,0), (a, 100-a^2), (-a, 100-a^2)

Length of rectangle = 2a and width = 100-a^2

Area of rectangle = lw = 2a(100-a^2)=200a-400a^3

To find max area, use derivative test.

A' = 200-800a^2\\A"=-1600a

Hence maxima when first derivative =0

i.e. when a =2

Thus we find dimensions of the rectangle are l =4 and w = 96

Maximum area = 4(96) = 384

5 0
3 years ago
What is the surface area of the rectangular pyramid below?
horrorfan [7]

<em>Answer</em><em>:</em>

the surface area of the rectangular pyramid below is 300 units2

6 0
3 years ago
Read 2 more answers
A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
3 years ago
Two thirds as a decimal
larisa [96]
2/3
=0.6666666... is your final answer. Hope it help!
4 0
3 years ago
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Suppose you toss a coin four times. What is the probability that you get heads on the second, third, and fourth losses?​
Svetach [21]

Answer:

3:4

Step-by-step explanation:

probability = what wanted : total outcome

                 =  3 heads : 4 tosses

                = 3 : 4

4 0
3 years ago
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