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gavmur [86]
2 years ago
14

The 80th term of an arithmetic sequence is twice the 30th term. If the first term of the sequence is 7, what is the 40th term?

Mathematics
1 answer:
VikaD [51]2 years ago
8 0
It seems that "d" or the common difference is a number that makes the sequence go into the larger positive realm of numbers. Therefore, 2*(7+30d)=7+80d. d=35/100. Now just do 7 + 40(35/100) = 21. 21 is your answer!
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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th
Vladimir [108]

Answer:

The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}

Step-by-step explanation:

Given as :

The distance of blimp  (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = \frac{AC}{BC} = \frac{h}{d}

And sin Ф =  \frac{AB}{BC} = \frac{5500}{d}

∵, cos²Ф = 1 - sin²Ф

So, (\frac{h}{d})^{2} = 1 - (\frac{5500}{d})^{2}

Or, (\frac{h}{d})^{2} = (\frac{d^{2}- 5500^{2}}{d^{2}})

Or,                                     h² = d² - 5500²

∴                                        h = \sqrt{d^{2}- 5500^{2}}

Or,                                     h = \sqrt{(d + 5500) (d - 5500)}

Hence The expression of h as function of x is   h = \sqrt{(d + 5500) (d - 5500)}     Answer

3 0
3 years ago
Please solve all of the questions!! GIVING BRAINLIEST
Kaylis [27]

Answer:

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Step-by-step explanation:

6 0
2 years ago
Solve the equation for the unknown variable.<br><br> z³ = 10,648
Svetllana [295]
<span>z³ = 10,648
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7 0
3 years ago
Translate and simply: subtract 18 from -11
navik [9.2K]
Answer: -29

Subtract 18 FROM -11.
That means that 18 would go after -11.

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4 0
3 years ago
Part 1
I am Lyosha [343]

Answer:

Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000  5.7909 X10^7

Venus 108.212.290.56  1.0821229056 X10^8

Earth  149,604,618.24  1.4960461824 X10^8

Mars  227,936,640  2.2793664 X10^8

Jupiter  778,412,020  7.7841202 X10^8

Saturn   1,433,442,700.8  1.4334427008 X10^9

Uranus  2,870,972,200  2.8709722 X10^9

Pluto  5,906,380,000  5.90638 X10^9

Step-by-step explanation:

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4 0
3 years ago
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