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3 years ago

A sequence is defined to be An = n^2 + 2. What is the 5th term of this sequence?

Mathematics

1 answer:

STatiana [176]3 years ago

4 0

Answer:

Step-by-step explanation:

To find the fifth term substitute n = 5 into the rule, that is

$A_{5}$ = 5² + 2 = 25 + 2 = 27

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Andy is one fourth as old as his grandfather who is 76 years old write an equation to determine whether Andy is 19 or 22 years o

iren [92.7K]

76÷4= ; x=19, you divide 76 by 4 because if he is 1/4 then it would be a group of one of the 4's, thus saying ehen you divide 76 by 4, it equals 19, so he is 19 years old, you could also do 19×4 and 22×4 to see which equals 76.

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3 years ago

A hardware store sells rope at a fixed price per foot. A 50-foot piece of rope cost $12. Write an equation that relates C, the c

Masja [62]

C=6/25f
6/25 is the cost per foot

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3 years ago

Given that the two triangles are similar, solve for x if AU = 20x + 108, UB = 273, BC = 703, UV = 444, AV = 372 and AC = 589.

KatRina [158]

AB = AU + UB = 20x + 108 + 273 = 20x + 381

$\cfrac{AU}{AB} =\cfrac{UV}{BC} \\ \\ \cfrac{20x+108}{20x+381} =\cfrac{444}{703} \\ \\ 703(20x+108)=444(20x+381)\\\\14060x+75924=8880x+169164 \\ \\ 14060x-8880x = 169164 - 75924 \\ \\ 5180x = 93240 \\ \\ x=93240/5180 \\ \\ x=18$

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3 years ago

What is the value of r?<br> Round your final answer to the nearest whole number.

vaieri [72.5K]

Answer:

r = 13

Step-by-step explanation:

Hypotenuse is the side opposite to 90 degree angle, so hypotenuse is r.

Also, with respect to the angle given, the side "12" is the opposite.

So we have opposite side to angle and we need hypotenuse. Which trigonometric ratio related opposite with hypotenuse? It is SINE.

So we can write:

$Sin(67.4)=\frac{Opposite}{Hypotenuse}=\frac{12}{r}\\rSin(67.4)=12\\r=\frac{12}{Sin(67.4)}\\r=12.99$

Rounded to nearest whole number, r = 13

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3 years ago

Read 2 more answers

Use the data below.

LuckyWell [14K]

Step-by-step explanation:

mean = sum of all data points / number of data points

(22+16+18+14+16+34+20)/7 = 140/7 = 20

median is the number, where half of the data points are smaller, and the other half are larger.

first we need to sort the data points

14, 16, 16, 18, 20, 22, 34

median = 18

mode is the data point occurring most often.

mode = 16 (occurring 2 times, while the others occur only once).

range is the difference between the largest and the smallest data point.

range = 34 - 14 = 20

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2 years ago