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marissa [1.9K]
3 years ago
13

What is the next term of AP : √2, √8, √18, .......?

Mathematics
1 answer:
solmaris [256]3 years ago
8 0

Answer:

\sqrt {32}

Step-by-step explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term \sqrt {18}

d =  \sqrt{18}  -  \sqrt{8}  = 3 \sqrt{2}  - 2 \sqrt{2}  =  \sqrt{2}  \\ next \: term =  \sqrt{18}  +  \sqrt{2}   \\  = 3 \sqrt{2}  +  \sqrt{2}  \\  = 4 \sqrt{2}  \\  =  \sqrt{ {4}^{2} \times 2 }  \\  =  \sqrt{16 \times 2}  \\  \huge \red{ \boxed{next \: term =  \sqrt{32} }}

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Jim rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 76 cents for each mile dri
dalvyx [7]

Answer:

287 miles

Step-by-step explanation:

The base fee was $17.99 and an additional 76 cents ($0.76) for every mile.

We can represent the amount he will pay for rent with the equation below:

C = 17.99 + 0.76m

where m = number of miles driven

Jim paid $236.11, therefore:

236.11 = 17.99 + 0.76m

0.76m = 236.11 - 17.99

0.76m =218.12

m = 218.12 / 0.76 = 287 miles

Jim drove 287 miles.

5 0
3 years ago
Can someone please solve
pentagon [3]

Answer:

78

Step-by-step explanation:

Evaluate 6 (2 x^2 - 5) where x = -3:

6 (2 x^2 - 5) = 6 (2×(-3)^2 - 5)

Hint: | Evaluate (-3)^2.

(-3)^2 = 9:

6 (2×9 - 5)

Hint: | Multiply 2 and 9 together.

2×9 = 18:

6 (18 - 5)

Hint: | Subtract 5 from 18.

| 1 | 8

- | | 5

| 1 | 3:

6×13

Hint: | Multiply 6 and 13 together.

6×13 = 78:

Answer:  78

7 0
2 years ago
I need help on this one.
Flura [38]

Answer:

1) 180 is a straight line, so 180 - 118 = <em>62</em>

2) 180 degrees are in a triangle, so 180 - (62) - 73 = <em>45</em>

3) 180 is a straight line, so 180 - 73 = 107. There are 180 degrees in a triangle, so 180 - 49 - 45 = <em>86</em>

4 0
3 years ago
Why it take much longer time ghan the time calculated
mrs_skeptik [129]

Answer:

for what bro

Step-by-step explanation:

please mark me as brainlest

3 0
3 years ago
Read 2 more answers
Solve for x.<br><br> x=<br><br> Look at image
postnew [5]

Answer:

x = 14

Step-by-step explanation:

To find x, the following equation is generated given the available information:

\frac{(x + 7) + x)}{x + 7} = \frac{12 + 8}{12}

\frac{2x + 7}{x + 7} = \frac{20}{12}

\frac{2x + 7}{x + 7} = \frac{5}{3}

Cross multiply

3(2x + 7) = 5(x + 7)

6x + 21 = 5x + 35

Collect like terms

6x - 5x = - 21 + 35

x = - 21 + 35

x = 14

8 0
3 years ago
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