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eimsori [14]
3 years ago
12

What is the sum of the arithmetic sequence 6, 14, 22, if there are 26 terms

Mathematics
1 answer:
Arisa [49]3 years ago
3 0
Sum of nth term of arithmetic sequence is given by Sn = n/2[2a + (n - 1)d]
Here, a = 6, n = 26 and d = 14 - 6 = 8
S26 = 26/2[2(6) + (26 - 1)8] = 13[12 + 25(8)] = 2,756
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Write in slope-intercept form an equation of a line that passes through the given points. (1,6) and (3,2)
Nataliya [291]

Answer:

The answer to your proble I'm slow intercept from is y=-2x+8

Step-by-step explanation:

4 0
3 years ago
A cone and a cylinder have equal radius, r, and equal altitudes, h. If the slant height of the cone is l, then the ratio of the
77julia77 [94]

Given:

radius of cone = r

height of cone = h

radius of cylinder = r

height of cylinder = h

slant height of cone = l

Solution

The lateral area (A) of a cone can be found using the formula:

A\text{ = }\pi rl

where r is the radius and l is the slant height

The lateral area (A) of a cylinder can be found using the formula:

A\text{ = 2}\pi rh

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

\pi rl\text{ : 2}\pi rh

Canceling out, we have:

\begin{gathered} =\frac{\pi rl}{2\pi rh} \\ =\text{ }\frac{l}{2h}\text{  or l:2h} \end{gathered}

Hence the Answer is option B

3 0
1 year ago
A quantity with an initial value of 600 decays exponentially at a rate of
Snowcat [4.5K]

Answer:

The value of the quantity after 87 months will be of 599.64.

Step-by-step explanation:

A quantity with an initial value of 600 decays exponentially at a rate of 0.05% every 6 years.

This means that the quantity, after t periods of 6 years, is given by:

Q(t) = 600(1 - 0.0005)^{t}

What is the value of the quantity after 87 months, to the nearest hundredth?

6 years = 6*12 = 72 months

So 87 months is 87/72 = 1.2083 periods of 6 years. So we have to find Q(1.2083).

Q(t) = 600(1 - 0.0005)^{t}

Q(1.2083) = 600(1 - 0.0005)^{1.2083} = 599.64

The value of the quantity after 87 months will be of 599.64.

8 0
3 years ago
Do side lengths 8,7 and 15 create a triangle ?
dexar [7]

Answer:

Yes

Step-by-step explanation:

To make a triangle the 2 smaller sides must join together to become greater than or equal to the biggest side.

8+7=15

<em>Therefore,</em>

<em>side lengths 8, 7, and 15 do create a triangle.</em>

<em />

<em>Hope this helps </em>

3 0
3 years ago
Read 2 more answers
shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amou
Veseljchak [2.6K]
540-35x= y

540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.
6 0
3 years ago
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