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Strike441 [17]
2 years ago
15

The first term of an arithmetic sequence is 4 and the tenth term is 67.

Mathematics
1 answer:
Dmitry [639]2 years ago
6 0

Answer:

Step-by-step explanation:

Formula

tn = a1 + (n-1)* d

Givens

tn = 67 (it is the last term or the nth term

n = 10

a1 = 4

find d

Solution

67 = 4 + (10 - 1)*d

67 = 4 + 9*d               Subtract 4 from both sides

67 - 4 = 9d            

63 = 9d                      Divide by 9

63/9 = 9d/9              

7  = d

Remark: This is a fundamental application of the arithmetic sequence. You pretty much have to know how to juggle it's parts.

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3x+6<25,x=8 true or false
Liono4ka [1.6K]

That is false

If x=8 then the whole thing is 24+6 which is 30

so 30<25 is false

6 0
3 years ago
Read 2 more answers
Help pleaseeeeeeee? thanksssss
77julia77 [94]

Answer:

This is quite simple when you consider it. go to -4 on the x axis and find where it goes on the y which in this case is 1. so the output for y is 1

Step-by-step explanation:

4 0
3 years ago
Simplify<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%5Cfrac%7B3%7D%7B8%7D%20%7D%20" id="TexFormula1" title=" \sqrt{ \f
Pie

Answer:

B (√6)/4

Step-by-step explanation:

The smallest multiplier that will make the denominator of the fraction into a perfect square is 2, so you have ...

\displaystyle\sqrt{\frac{3}{8}}=\sqrt{\frac{3\cdot 2}{8\cdot 2}}\\\\=\sqrt{\frac{6}{16}}=\frac{\sqrt{6}}{\sqrt{16}}\\\\=\frac{\sqrt{6}}{4}

_____

Answer choice D is also a correct rationalization of the denominator, but is not simplified as far as it can be. √24 = 2√6, so a factor of 2 can be cancelled from numerator and denominator, giving answer choice B.

3 0
3 years ago
Roy worked for 2 hours and earned $12. how many hours must he work at the same rate to earn $36? hours worked 2 ? dollars earned
kotegsom [21]
2hr=$12
1hr=12/2= $6/hr
$36=1hr/$6= 6hr for $36
If he worked 3hr he would get (6*3)= $18
If he worked 4 hours he would get (6*4)= $24
I hope this answers your question
7 0
3 years ago
A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park length is 280 yards. What is the width
Anastaziya [24]

Answer:

56,000

Step-by-step explanation:

7 inches → 280 yards

1 inch → 280 ÷ 7 = 40 yards

5 inches → 40 x 5 = 200 yards

Area = 280 x 200 = 56 000 yards

3 0
3 years ago
Read 2 more answers
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