Ouch....I totally missed that Q see answer below
"E" is not included in the pyramid.
The volume of pyramid AFHC = 40 cubic units
OOh ok TYSM!
This website explains a part of this --> https://www.quora.com/What-is-1-3-1-9-1-27-1-81-1-243
This means the value of 40/3 + 40/9 +... = 40/2, which equals 20.
This means your answer is 120 + 40 + 20, which gives you the answer of 180 :)
Let b = cost of one binder, and n = cost of one notebook
3b + 10n = 875
3b + 4n = 485
----------------------
6n = 390
n = 65
3b + 4(65) = 485
3b + 260 = 485
3b = 225
b = 75
Notebooks cost 65 cents and binders cost 75 cents :)
Area of square = 144 cm2, which means each side is √144 = 12 cm
Since the circle is inscribed in the square, the diameter is 12, so the radius is 6cm.
Area of circle = πr2 = π * 62 = 36π cm2, which is your answer :)
(x + 2)(3x2 + x + 5)
= 3x3 + x2 + 5x + 6x2 + 2x + 10
= 3x3 + 7x2 + 7x + 10
A = 3
B = 7
C = 7
D = 10
A + B - C - D
= 3 + 7 - 7 - 10
= 10 - 17
= -7, which is your answer :)
3(3x7 + 8x4 - 7) + 7(x5 + 7x2 + 5)
= 9x7 + 24x4 - 21 + 7x5 + 49x2 + 35
= 9x7 + 7x5 + 24x4 + 49x2 + 14
Sum of coefficients: 9 + 7 + 24 + 49 + 14 = 103, which is your answer :)
I solved it. I believe it is C) 36π cm^2.
"If an average-sized man with a parachute jumps from an airplane, he will fall 12.5(0.2^t-1) +20t feet in t seconds. How long will it take him to fall 140 feet? (Round your answer to two decimal places.)"
There will be zero intersections.
This is because the y value of the maximum point of one graph is equal to the y value of the minimum value of the other graph, but the x values of the minimum points of the 2 graphs are different, meaning they have no intersections.
The answer is 2, pi/3, 4, 6, 2*pi/3, 4.
(p(1,-1) = 1 - 2(-1) = 3
p(-5,-2) = -5 - 2(-2) = -1
p (3,-1) = 3 - 2(-1) = 5
(x-1)(x-16) roots + 1 +16 k =17
(x-2)(x-8) k = 10
(x-4)(x-4) k = 8 add 'em up and find the average
18 * d^6 = 162
d= 91/6
18 * d3 = a7
18 * (91/6)3 = 18 * 3 = 54
The speed is 4*pi, moving CCW.
6x-5
√2, √10, 5√2...
5√2 = √(2 * 52) = √50
The pattern is multiplying by 5 inside the square root.
To find the nth term, it would be: nth term = √(2 * 5(n - 1))
This means the 7th term = √(2 * 5(7 - 1))
= √(2 * 56)
= √(2 * 15625)
= √31250, which is your answer :)
Professors are 6 out of (6+11=17) of the total
6/17 * 136 = 48 profs
The summation for n = 19 is usually 190
this sequence is only 91
190x =91
x = 91/190 so the numbers in the sequence are reduced by this multiplier
\( \sum_{1}^{20} ( 91/190) n = 100.578947368\) This would be a20
180 - 124 = 56
so => 180 - 6x = 180 - 2x - 56
<=> 180 = 124 + 4x
<=> 56 = 4x
<=> 14 = x
Are you missing something ? Obvously yes.
Correct answer is 8pi.
180 - 56 - 2x = 180 - 6x
124 - 2x = 180 - 6x
4x = 56
x = 14
Hope this helps :)
a_20 = 84.
Thank you for the answer, but unfortunately that is wrong.