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bagirrra123 [75]
3 years ago
6

Find the seventh term of the geometric sequence 1, 2, 4, ... and the sum of the first seven terms. t7= S7=

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0

Answer:

Seventh term is 64

Sum of the first seven terms is 127

Step-by-step explanation:

The common ratio is 2

a_{n}  = a_{1} r^{n - 1}    

n = 7 and the first term is 1.  So,

a_{7}  =  1(2^{7 - 1} )  = 2^{6} = 64

Seventh term is 64

S_{n}  =  \frac{a_{1} (r^{n} -1)}{r - 1}

S_{7} = \frac{1(2^{7} -1)}{2 - 1}

    = \frac{128 - 1}{1} = 127

Sum of the first seven terms is 127

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Calculate the number of acres required to produce 1,000 gallons of oil in one year from microalgae and soybeans. Which one (micr
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Answer:

microalgae required less space.

Step-by-step explanation:

Amount of oil to be produced = 1,000 gallons

Now,

We know

10,000 gallons of oil is extracted from the miroalgae per acre per year

and,

From soyabeans the oil extracted = 50 gallons per acre per year

therefore,

To produce 1,000 gallons number of acres required by microalgae

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from microalgae]

= 1,000 ÷ 10,000

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similarly

To produce 1,000 gallons number of acres required by soyabeans

= [ Amount of oil to be produced ] ÷ [ oil extracted per acre from soyabeans]

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microalgae required less space.

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3 years ago
Can 10-12 be solved Answer Fast!!!!!!
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Answer:

10/------   5x+2y=14

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2 years ago
Explain how to graph a line when given the slope and one of the points on the line.
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Answer:

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Step-by-step explanation:

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3 years ago
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The figure shows a construction completed by hand.
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Based on the construction, we can logically deduce that: A. yes; the compass was kept at the same width to create the arcs for points C and D.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

In Geometry, a line segment can be measured by using the following measuring instruments:

  • A scale (ruler)
  • A divider
  • A compass

<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Based on the construction with arcs created above and below the line segment from points A, we can infer and logically deduce that it is true that the compass was kept at the same width to create the arcs for points C and D.

In conclusion, yes, the construction demonstrated how to bisect a line segment correctly by hand.

Read more on arcs here: brainly.com/question/11126174

#SPJ1

Complete Question:

The construction has a given segment AB. Arcs have been created above and below the segment from points A that are equidistant from point A. The compass was kept at the same distance, placed on point B, and two additional arcs were created above and below the segment that intersect with the first arcs created. The intersection of the arcs above the segment created point C. The intersection of the arcs below the segment created point D. A line was drawn from point C to D through the segment.

Does the construction demonstrate how to bisect a segment correctly by hand?

A. Yes; the compass was kept at the same width to create the arcs for points C and D.

B. Yes; a straightedge was used to create segment CD.

C. No; the compass was not kept at the same width to create the arcs for points C and D.

D. No; a straightedge was used to create segment CD.

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2 years ago
What is the surface area of a cube that has a side length of 2.2 meters?
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Answer:

the answer is c 29.04 meters squared

Step-by-step explanation:

first you multiply 2.2 by 2.2 to get 4.84 then you multiply that by 6 to account for all of the faces

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