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Oduvanchick [21]
3 years ago
9

Evaluate the geometric series below. Please show your work.

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

-1310715

Step-by-step explanation:

By the formula of a geometric sequence, we work out:

\sum_{k=1}^{18} -5 \cdot 2^{k-1}\\= -5 \cdot \sum_{k=0}^{17} 2^{k}\\= -5 \cdot \frac{2^{18}-1}{2-1}\\= -1310715

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Estimate the area of the square
Alla [95]

Answer:

100 ft squared

Step-by-step explanation: you would usually round up to the nearest whole number with these and 9.7 would round to 10 and 10 times 10 would be 100

6 0
3 years ago
How would you write a phrase that represents the expression 7(n - 12)?
NemiM [27]
7n-84 would be your correct answer, 7 times n is 7n. 12 times 7 is 84 so therefore your answer would be 7n-84
7 0
3 years ago
Consider the line which passes through the point P(3, 1, 5), and which is parallel to the line x=1+5t,y=2+5t,z=3+1t Find the poi
padilas [110]

Answer:

The point of intersection

(0,-14,22/5), (2,0,24/5), (-22,-24,0).

Step-by-step explanation:

Check attachment for solution

7 0
3 years ago
⦁ A sphere is inscribed in a cube with a volume of 27 cm3. What is the volume of the sphere?
lyudmila [28]

Answer:

≈ 14.14 cm³

Step-by-step explanation:

First find the side length of the cube.

V=S³

27=S³

∛27=∛s³

3=S

Then the volume of the sphere.

V=\frac{4}{3} × π(pi) × r³(radius cubed)

V=\frac{4}{3} × π(pi) × (1.5³)

 =\frac{9}{2}π cm³ ≈ 14.14 cm³

4 0
3 years ago
Helpppp asap please!!!!
OLga [1]

Answer:

   Angle at x is 75°

Step-by-step explanation:

Data :

  Angle at A = 65°

  Angle at B = 40°

According to  the porperty of triangle we know that total interior angle a triangle has is 180° irrespect of type or size

              A + B + C = 180

      65 + 40 + C = 180

        C = 180 - 65 - 40 = 75°

Mark brainliest if you understand

3 0
2 years ago
Read 2 more answers
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