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1. ### The partial sum -3+(-9)+(-27)+...+(-2187) equals?

... a geometric series with n=7 terms, first term a=-3 and common ratio r=3. The sum is a finite geometric series is well known...

4 Answers · Science & Mathematics · 06/06/2020

2. ### Use the divergence (= Gauss’s) theorem to compute the flux of the vector field?

...the volume integral of div(F) inside the sphere.  (Sphere is radius R = √2.) Φ = ∰div(F)dV = ∰3r² r²sinφdrdθd...

1 Answers · Science & Mathematics · 05/06/2020

3. ### Helppppppppp?

Volume =pih(r_outer^2 - r_inner^2)  V  = 6pi( r_outer^2 - (3)^2 ) V = 6pi(r_outer^2 -9)  dV/dr  =12pi(r_outer)   dV/dt = dV/dr * dr/dt   so when r_outer = 4.5 cm  dV/dr = 12pi(4.5) = 54pi  cm^3/ cm  dr/dt =   0.04  cm/hour...

2 Answers · Science & Mathematics · 03/06/2020

4. ### In the geometric sequence, the common ratio is −2 and the 5th term is 72. What is the second term?

r = -2 t(5) = 72 t(n) = ar^(n - 1) t(5) = a(-2)^(5 - 1) = 72 a(-2)^4 = 72 16a = 72 a = 72/16 a = 4.5 t(n) = 4.5(-2)^(n - 1) t(2) = 4.5(-2)^(2 - 1) t(2) = 4.5(-2)^1 t(2) = 4.5(-2) t(2) = -9

1 Answers · Science & Mathematics · 02/06/2020

5. ### How to solve d²y/dx² - dy/dx - 2y = 8?

y’’ – y – 2y -  8 = 0  r^2 – r – 2 = 0 = (r + 1)(r – 2)     for complementary  y = Ae^-x + Be...

3 Answers · Science & Mathematics · 01/06/2020

6. ### Write an algorithm to find the average of four numbers.?

... VALUE NUMBER " N "?" 120 INPUT R(N) 125 REM R is an array that will accept up to 10 ...

3 Answers · Science & Mathematics · 02/06/2020

7. ### Cesium-137 has a half-life of about 30 years.?

a/ y = a(2^(-t/30))=a(0.97716)^t, 1-r = 0.97716 ---> r = 0.02284 = 2.284%  b/ y = a(e^(kt)) = a(0.97716)^t solve for k c/ and d/ you can do

1 Answers · Science & Mathematics · 02/06/2020

8. ### Area volume math?

...1/3(3)(4.5)(3.02) = 13.59ft^3 Circle/ Cylinder A = πr^2 = π(66.33)^2 = 13821.97 ft^2 V = πr^2h = π(66.33)^2(16.25) = 224606.97...

2 Answers · Science & Mathematics · 01/06/2020

9. ### A diagram shows a circle centre o,radius 9cm.The tangent to the circle at A meets OB produced at T.The area of the sector OAB is 24cm^2. ?

Area of a sector of radius r and angle θ            Area = ½r²θ                24...

1 Answers · Science & Mathematics · 01/06/2020

10. ### please write a second-degree inequality that admits S=R-(-2) as a solution?

(x^2+3)/(x+2)<1 Denominator  can not be zero x+2=0 x=-2 must be subtracted from Real numbers set.

1 Answers · Science & Mathematics · 30/05/2020