Answer:
10
Step-by-step explanation:
The common ratio of the geometric sequence 10,60, 360,... is 6.
What are arithmetic and geometric sequence?An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference
d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.
In a geometric sequence numbers are written in the same constant ratio(r).
It means every next number is a multiple of a common constant and the previous number.
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Given, A geometric sequence 10,60, 360,...
We know the common ratio r in a geometric sequence is
r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.
Therefore,
The common ratio in this geometric sequence 10,60, 360,... is,
= 60/10 = 360/60 = 6.
So, The common ratio is 6.
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Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slopes. That is to say, if one line has slopem1and the other has slopem2thenm1 · m2 = −1.Please note that a horizontal line is perpendicular to a vertical line and vice versa, so we assumem1 ≠ 0andm2 ≠ 0.Below, you are given a line and a point which is not on that line. Find the line perpendicular to the given line which passes through the given point.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is [tex]y = -4 x[/tex]
Step-by-step explanation:
From the question we are told that
The line is [tex]y = \frac{1}{4} x + 8[/tex]
The point is P(0,0 )
Generally the equation for a line is [tex]yn = mx + c[/tex]
Now comparing this with the given equation we see that
[tex]m =\frac{1}{4} = slope[/tex]
[tex]C =8 = intercept [/tex]
Generally the slope of the perpendicular to the given line is mathematically evaluated as
[tex]m_1 = - \frac{1}{m}[/tex]
=> [tex]m_1 = - \frac{1}{ \frac{1}{4}}[/tex]
=> [tex]m_1 = -4 [/tex]
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and [tex]m_1 = -4[/tex] is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
[tex]y = -4 x[/tex]
HELP ASAP. ALGEBRA 1 , ITS EASY. PLEASE HHHHEEEEEEELLLLLPPPPPPPPPP.
Question 1:
9|x/4| -10=8
Question 2:
4+|3x+3|=28
Question 3:
4|x-9|+7=67
Answer:
Question 1
9|x/4| -10=8 Answer- x= (8,-8)
Question 2
4+|3x+3|=28 Answer- x=(7,-9)
Question 3
4|x-9|+7=67 Answer- x=(24,-6)
Step-by-step explanation:
find the value of x. The answer is 53, but I need to show my work.
THANK YOU!!!
Answer:
53
Step-by-step explanation:
so first sutract the large angle from 360:
360 - 213 = 147
then subtract the other large known angle:
147 - 107 = 40
now we know the x - 13 = 40 so to find x we just have to add 13:
40 + 13 = 53
What is 7/9 x 21/10=
Answer:
1 19/30
Step-by-step explanation:
Just multiply and cross simplify
7/9 x 21/10
9 and 21 can be simplified to 3/7
7/3 x 7/10
Multiply from left to right
49/30
1 19/30
Answer: 1.63333333333
7/9 = 0.77777777777
(7/9) * 21 = 16.3333333333
((7/9) * 21)/10 = 1.63333333333
what is the value of n n+11=13
Answer:
n = 2
Step-by-step explanation:
[tex]n + 11 = 13[/tex]
Subtract 11 from both sides to isolate n.
[tex]n + 11 - 11 = 13 - 11[/tex]
[tex]n = 2[/tex]
Pls help me 8th grade math pls solve all the problems correctly
Answer:
A.$12
B.$4.5
C.4.5$ per game + 12$
Step-by-step explanation:
It shows the first payment being 12$ so A is 12$
then it goes up to 16.5$ so
16.5-12= 4.5$
So 4.5$ per game.
C. 4.5$ per game + 12$
What is the domain of H
Answer:
X ∈ {-2, -1 ,1 ,5 ,6}
Step-by-step explanation:
Answer:
Step-by-step explanation:
help me please i need help
Answer:
I have NO IDEA
Step-by-step explanation:
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Bernard a part of a small pizza he started with 11/12 of a pizza but only ate 2/3 of it which is the best estimate of the amount Bernard ate?
Answer:
Bernard ate a little less than Two-thirds of the pizza.
Step-by-step explanation:
i took the test
Answer:
c 2/3
Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!
Negative seven is less than negative six.
True or False
Answer:
true
Step-by-step explanation:
negatives keep getting smaller and smaller
Answer:
false
Step-by-step explanation:
negative 6 is bigger because its closer to a whole number (integer which is bigger) so it has more value
Toby plans to enroll for 2 semesters per year of college. How can he calculate the extra mo ey he needs for each semester? What is the amount that he needs per semester?
Hey there!
Sorry if I answered your question too late, but here is the answer!
Step-by-step explanation:
Toby will require $2,000 for expenses for one year of college. He plans to enroll for 2 semesters per year, so Toby has to divide $2,000 by 2 to find the expenses for each semester. He can set up the division as $2,000 ÷ 2 or 2 ⟌2,000.
Answer: He will need $1,000 for each semester.
You are free to use the Step-by-step explanation to show your work. Have a great day! :))
Brad had 72 bargain baseballs. What is the total price for the bargain baseballs if each ball is $9
Answer:
648
Step-by-step explanation:
9 times 27
Answer:
$8.
Step-by-step explanation:
72 divided by 9
hope this helped </3
What must be true of the boundary lines in a system of two linear inequalities if there is no solution of the system? Explain.
Answer:
have you check google or try mathaway or slander
Solve x^2 – 7x = -13.
Answer:
No solutions I think
Step-by-step explanation:
Question
The force needed to break a board varies inversely with its length. Richard uses 24 pounds of pressure to break a 2-foot-
long board. How many pounds of pressure is needed to break a 5-foot-long board?
Provide your answer below:
Answer:
9.6
Step-by-step explanation:
60 pounds of pressure is needed to break a 5-foot-long board,
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Richard uses 24 pounds of pressure to break a 2-foot-long board.
How many pounds of pressure is needed to break a 5-foot-long board,
we have to find.
i.e. 24/2 * 5
=12*5
=60
hence, 60 pounds of pressure is needed to break a 5-foot-long board,
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15.03 cm, 14.92 cm, and 15.30 cm. The actual length is 15cm. Which of the following would be most accurate?
FIRST TO ANSWER GETS BRAINLIEST!!!
Answer:
14.92 ^-^
Step-by-step explanation:
If y= 44 when x=240, what is the value of y when x=84?
What is 9/7 times -9/5?
Answer:
- 2 11/35
Step-by-step explanation:
Step 1:
9/7 × - 9/5 Equation
Step 2:
- 81/35 Multiply
Answer:
- 2 11/35 Convert
Hope This Helps :)
Answer:
Step-by-step explanation:
nevermind sry
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match. (a) How many schedules are there?
Complete Question
1. (12 points) The tennis team at Taft High School has 8 players, and the tennis team at McKinley High School has 7 players. Rebecca is on the team at Taft, and her sister Leah is on the team at McKinley. The two teams are going to play a tournament with 4 rounds. In each round, one player from Taft will play a match against one player from McKinley. Each player can play in at most one match. A schedule for the tournament consists of an ordered list of the names of the players from each school who will play in each of the four rounds. The schedule does not include the results of each match.
(a) How many schedules are there?
(b) How many schedules include neither sister?
Answer:
a
[tex]N = 1,411,200[/tex]
b
[tex]M = 302, 400[/tex]
Step-by-step explanation:
From the question we are told that
The number of players in Taft High School is t = 8
The number of players in McKinley High School is k = 7
The number of rounds is n = 4
The highest number of match each player can play is w = 1
Generally the total number of schedules is
[tex]N = ^tP_4 * ^k P_4[/tex]
[tex]N = ^8P_4 * ^7 P_4[/tex]
=> [tex]N = \frac{8!}{(8-4)!} * \frac{7!}{(7-4)!}[/tex]
=> [tex]N = \frac{8!}{4!} * \frac{7!}{3!}[/tex]
=> [tex]N = \frac{8*7 *6*5*4*3*2*1}{4*3*2*1} * \frac{7*6*5*4*3*2*1}{3*2*1}[/tex]
=> [tex]N = 1,411,200[/tex]
Generally the number of schedules that include neither of the sisters is mathematically represented as
[tex]M= \ ^{t-1}P_4 *\ ^ {k-1} P_4[/tex]
[tex]M= \ ^{8-1}P_4 *\ ^ {7-1} P_4[/tex]
=> [tex]M= \ ^{7}P_4 *\ ^ {6} P_4[/tex]
=> [tex]M = \frac{7!}{(7-4)!} * \frac{6!}{(6-4)!}[/tex]
=> [tex]M = \frac{7!}{3!} * \frac{6!}{2!}[/tex]
=> [tex]M = \frac{7 *6*5*4*3*2*1}{3*2*1} * \frac{6*5*4*3*2*1}{2*1}[/tex]
=> [tex]M = 302, 400[/tex]
What values make d^2=36 a true number sentence
Answer:
6
Step-by-step explanation:
becuase 6^2 equals 36
Answer:
d=6
Step-by-step explanation:
Use the inverse operation of square roots
a turtle is moving along a straight line a constant rate it moves 2/7 of a mile 3/5 of an hour
Answer:
0.2miles at 12minutes
(x+4)(x-5)+(x+4)(x-2)
Answer:
(x+4)⋅(2x−7)
Step-by-step explanation:
Combine the like terms.
Round 733,712 to the nearest thousand
733,712 ~
Answer:
734,000
Step-by-step explanation:
The thousands digit is the fourth digit from the right (1000) so we start by underlining that digit.
733,712
Look at the digit to the right of the underlined digit. If the number is 5 or more, add one to the underlined digit. Since 7 is 5 or more, we add one to the underlined digit.
All of the digits behind the underlined digits turn to zeros to hold the place values.
734,000
HURRY HELP ME select ALL the correct answers
A sailboat travels a distance of 2 1/2 miles in 1/6 of an hour. which complex fraction represents the unit rate in miles per hour?
The total dinner bill for 5 people was 55.30. How much will each person pay if they share the cost equally
Answer:
11.06
Step-by-step explanation:
55.30/5 Separate the decimals and whole numbers and divide both by 5
55/5=11 and 0.30/5=0.06
11+0.06=11.06
Answer:
11.06
Step-by-step explanation:
Please help me i will give all of my points 14
Please help i need this right now
Answer:
3 7/12
Step-by-step explanation:
Simplify.
2 ( to the power of 3)+4⋅8
40
80
96
160
Answer:
2 to the power of 3 is 8 so
8 + 4.8 = 12.8
Step-by-step explanation:
What is the perimeter of a hexagon with a side length of 31cm?
Answer:
186cm im pretty sure
Step-by-step explanation:
Answer:
The perimeter is 186 centimeters.
Step-by-step explanation:
The perimeter is the combination of all the side lengths of a figure. So, to figure this one out, it would be:
31 + 31 + 31 + 31 + 31 + 31
Or in simpler terms:
31 times 6.
All you need to do is multiply, and the answer comes out to 186cm
5. A gift box is 8 inches long, 3 inches wide
and 4 inches tall. What is the approximate
length of its longest diagonal?
A. 9.4 inches
B. 10.2 inches
C. 15 inches
D. 89 inches
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation: