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3 years ago

Write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88

Mathematics

1 answer:

mart [117]3 years ago

8 0

Answer:

Step-by-step explanation:

write a rule for the n th term of the geometric sequence for which a_1=11 and a_4=88

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What is the measurement

Blizzard [7]

Answer:

X=135 degrees

Step-by-step explanation:

the total interior angle of a triangle is 180.

To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.

The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.

Then to work out the angle of x you would minus 45 from `180, which gives you 135. This is because the total angle in a straight line is 180 degrees.

1) Add the angles of 69 and 66.

$69+66=135\\$

2) Minus 135 from 180.

$180-135=45$

3) Minus 180 from 45.

$180-45=135 degrees$

3 0

3 years ago

In 1928, when the high jump was first introduced as a women's sport at the Olympic Games, the winning jump for women was 70.0 in

sveta [45]

Answer: year 2194

Explanation:

1) Model the jump of the women:

i) initial jump = 70.0 in

ii) increase rate = 0.48% per year

iii) equation: h = 70.0(1 +0.0048)ⁿ

2) Model the jump of the men:

i) initial jump 86.5 inches.

ii) increase rate, 0.4%.

iii) equation: h = 86.5 (1 + 0.004)ⁿ

3) Equal the two equations (h = h) to find when the jumps will be equal:

i) 70.0(1 +0.0048)ⁿ = 86.5 (1 + 0.004)ⁿ

ii) 70.0(1.0048)ⁿ = 86.5 (1.004)ⁿ

ii) [1.0048ⁿ / 1.004ⁿ] = 86.5/70.0

iii) [1.0048/ 1.0040]ⁿ = 86.5/70.0

iv) n log (1.0048 / 1.0040) = log ( 86.5/70)

v) n = log (86.5/70) / log (1.0048/1.0040) ≈ 266

3) year = 1928 + 266 = 2194

That is in the year 2194

8 0

3 years ago

Read 2 more answers

What is the value of 5-8×(7-15+8)

salantis [7]

Answer:

I'm pretty sure that the answer is 5. Correct me if i'm wrong

Step-by-step explanation:

6 0

3 years ago

Fine the exact distance between the line 6x-y=-3 and the point (6,2). Show your work. Explain your answer.

AVprozaik [17]

Answer:

$\sqrt{37}$ units

Step-by-step explanation:

If we draw a perpendicular from point (6,2) on the line 6x - y = - 3, then we have to find the length of the perpendicular.

We know the formula of length of perpendicular from a point $(x_{1}, y_{1} )$ to the straight line ax + by + c = 0 is given by

$\frac{|ax_{1} + by_{1} +c |}{\sqrt{a^{2}+b^{2}}}$

Therefore, in our case the perpendicular distance is

$\frac{|6(6)-2+3|}{\sqrt{6^{2} +(-1)^{2} } } = \frac{37}{\sqrt{37} } = \sqrt{37}$ units. (Answer)

6 0

4 years ago

What is -13m+46>-45 i really need help on it

marshall27 [118]

Answer:

Inequality form: m<7

Interval notation: (-infinity sign, 7)

Step-by-step explanation:

8 0

3 years ago