Which sequence is geometric and has 14 as its fifth term and 12 as the common ratio?

Answers

Answer 1

Answer: geometric sequence is
an=a1(r)^(n-1)
an=nth erm
a1=first term
r=common ratio

5th term=14
a5=a1(12)^(5-1)=15

a1(12)^4=15
a1(20736)=15
divide both sides by 20736
a1=15/20736=5/6912
geometric sequence is
an=(5/6912)(12)^(n-1)

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Shureka Washburn has score of 72,67,82, and 79 on her alebra test. Use an inequality to find the scores she must make on the final exam to pass the course with an average of 77 or higher, given that the final exam counts as two test.

Answers

Answer:

$x \geq 81$

Step-by-step explanation:

Shureka Washburn has score of 72,67,82, and 79 on her algebra test.

Let x be the score on the final exam.

$(72+67+82+79+x+x)/(6) \geq 77$

=> $(300+2x)/(6) \geq 77$

=> $300+2x \geq(77)6$

=> $300+2x \geq 462$

=> $2x \geq 462-300$

=> $2x \geq 162$

=> $x \geq 81$

72+67+82+79=300
300/4=75
300+81+81=462
462/6=77

ANSWER X MUST BE GREATER THAN OR EQUAL TO 81

A cereal box is 8inches by 2 inches by 12 inches, what is the surface area

Answers

Answer:

272 inches^2

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(8*12+2*8+2*12)

A=2*136

A=272

In accordance with 14 CFR Part 107, at what maximum altitude can you operate an sUAS when inspecting a tower with a top at 1,000 ft AGL at close proximity (within 100 feet)?

Answers

Answer:

The max altitude you can operate an sUAS on these given conditions is 1400ft AGL.

Step-by-step explanation:

Divide 85 into the ratio of 2:3:5

Answers

The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
= 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
= 17:25.5:42.5
So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5

Michael is 4 times as old as Brandon and is also 27 years older than Brandon. how old is Brandon

Answers

let's represent Brandon's age by x and Michael is 4 times as old as Brandon so 4x andx+ 27. The equation is
4x=x+27 Therefore Brandon is 9 years old.
4x-x=x-x+27 4x=4*9=36
3x=27 x+27=9+27=36
3x/3=27/3
x=9

Which of the ordered pairs satisfy the equation below check all that apply y=-9x

Answers

The best and the most correct answer among the choices provided by the question is the first choice. The ordered pair that best satisfies the equation is (-1, -9) I hope my answer has come to your help. God bless and have a nice day ahead!

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