Answer:
Step-by-step explanation:
[tex]r=\frac{-28}{56}=-\frac{1}{2}\\a_{n}=\frac{-1}{2}a_{n-1}[/tex]
The recursive formula for the sequence is aₙ = (-1/2) * aₙ₋₁
What is a Geometric Series?A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.
The standard equation for geometric series is
Tₙ = a₁ rⁿ⁻¹
The formula above represents the explicit formula to determine the nth term of the sequence.
The recursive formula is used to determine the nth term when (n-1) th term is given.
The geometric sequence is,
56, -28, 14, -7,.................
The first term of the sequence is 56
The common ratio is determined by taking the ratio of the second term to the first term.
r = -28/56 = -1/2
The recursive formula is represented by,
aₙ = r * aₙ₋₁
aₙ = (-1/2) * aₙ₋₁
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Solve for x: 3 < x + 3 < 6
Steps to solve:
3 < x + 3 < 6
~Subtract 3 to everything
0 < x < 3
Best of Luck!
What are the quadrants of the standard (x, y) coordinate plane below that contain points on the graph of the equation 4x - 2y = 8 ?
Answer:
Step-by-step explanation:
4x-2y=8
divide by 8
[tex]\frac{x}{2}+\frac{y}{-4}=1\\x~intercept=2\\y~intercept=-4\\also ~2y=4x-8\\y=2x-4\\slope=2\\[/tex]
so graph lies in third and fourth and first quadrants.
The graph lies in third and fourth and first quadrants.
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.
Given:
4x - 2y = 8
Now, make the equation in standard form
4x/8 - 2y/8 = 8/8
x/2- y/4 = 1
Now,
y- intercept is -4
and x- intercept is 2.
Also, we can write 4x - 2y = 8 as
y= 2x-4 and slope= 2
Hence, graph lies in third and fourth and first quadrants.
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Need helpw ith this plz
Solve the equation for the specified variable
S=gr-5gk*3, for g
Answer:
[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]
Step-by-step explanation:
Given
[tex]S=gr^{-5}gk*3[/tex]
Required
Solve for g
[tex]S=gr^{-5}gk*3[/tex]
Split into different entities
[tex]S=g * r^{-5}*g*k*3[/tex]
Reorder in terms of like terms
[tex]S=g*g * r^{-5}*k*3[/tex]
[tex]S=g^2 * r^{-5}*k*3[/tex]
[tex]S=g^2 * 3kr^{-5}[/tex]
Solve for [tex]g^2[/tex]
[tex]g^2 = \frac{S}{3kr^{-5}}[/tex]
Take square root of both sides
[tex]g = \sqrt{\frac{S}{3kr^{-5}}}[/tex]
what is 4 fourths of a dollar
Answer: The answer is 25%
Step-by-step explanation:
On a number line, which number is 7/9 of the way from -6 to 3
Answer:
1?
Step-by-step explanation:
if you go from -6 to 3 it is 9 spaces. so 7 spaces equals one.
When using 3 letters to make an angle the middle letter is
Rita's class has 14 girls and 16 boys. How does the ratio 14 : 30 describe Rita's class?
Answer:
14: 16 is the ratio of girls to boys
And the ratio 14:30 is the ratio of girls to the total of students
Step-by-step explanation:
74.052 using expanded form with fractions and expanded form with decimals
Answer:
[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]
[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]
Step-by-step explanation:
Given
74.052
Required
Write in Expanded Form
In Decimals
[tex]7 = 7 * 10[/tex]
[tex]4 = 4 * 1[/tex]
[tex]0 = 0 * 0.1[/tex]
[tex]5 = 5 * 0.01[/tex]
[tex]2 = 2 * 0.001[/tex]
Bring these together,
[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]
In Fraction
[tex]74.052 = 7 * 10 + 4 * 1 + 0 * 0.1 + 5 * 0.01 + 2 * 0.001[/tex]
Convert decimals to fraction
[tex]74.052 = 7 * 10 + 4 * 1 + 0 * \frac{1}{10} + 5 * \frac{1}{100} + 2 * \frac{1}{1000}[/tex]
[tex]74.052 = 7 * 10 + 4 * 1 + \frac{0}{10} + \frac{5}{100} + \frac{2}{1000}[/tex]
A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes?
Answer: $2421.90
Step-by-step explanation:
Since a yard is 3 feet, we can say the foyer is 3 yards by 6 yards (9 feet is 3 yards and 18 feet is 6). The area of a square is x*y, so the area of each floor is 3*6 = 18 square yards. Since there are 5 homes, there are 5 * 18 = 90 total square yards to laminate. That means that the total cost is 90 * 26.91 = $2421.90.
The total cost for the foyer for the 5 homes is $ 2421.9.
Given that,
A builder is building 5 new homes. Each home has a foyer measuring 9 feet by 18 feet. Laminate flooring for each foyer costs $26.91 per square yard. What is the cost of the laminate floors for the foyers in all 5 homes is to be determined.
In mathematics, it deals with numbers of operations according to the statements.
Here,
1 yard = 3 feet
Now
The measure of foyer = 9 feet x 18 feet = 9 /3 yard x 18 / 3 yard.
Area of the foyer = 3 x 6
= 18-yard square
Area of the foyer of 5 homes = 5 * 18
= 90-yard square,
The total cost of a foyer for 5 homes = 90 * 26.91
= $2,421.9
Thus, the total cost for the foyer for the 5 homes is $ 2421.9.
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Ashley's Internet service is terribly unreliable. In fact, on any given day, there is a 25 % chance that her Internet connection will be lost
at some point that day. What is the probability that her Internet service is not broken for five days in a row? Enter a fraction or round
your answer to 4 decimal places, if necessary.
Answer:
The probability that her internet service will not be broken for five days in a row is 243/1024
Step-by-step explanation:
Here, we want to calculate the probability that her internet service is not broken for five days in a row
Let the event that her internet will be broken be B and the event that her internet will not be broken be N
P(B ) = 25% = 0.25
P(N) = 1-0.25 = 0.75 = 3/4
Thus, the probability that her internet is not broken for five days in a row = P(N) * P(N) * P(N) * P(N) * P(N)
= 3/4 * 3/4 * 3/4 * 3/4 * 3/4 = 243/1024
Round 35,124 nearest ten thousands
Answer:
40,000
Step-by-step explanation:
because of the 5 in the thousands place means were rounding up
If a side of a square is 10 what the other sides will be
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
all sides are equal
What is non-collinear?
Answer:
Non-colinear means that three given points do not have a single line connecting all 3 of the points.
Yesterday, between noon and midnight, the temperature decreased by 27.2°F. If the temperature was -8.6°F at midnight, what was it at noon? *
yolandaa sunflower is 12 centimeters more than jean sunflower yolanda sunflower is 75 centimeters tall. how tall is jeans sunflower?
Answer:
63 centimeters
Step-by-step explanation:
Answer: 63 cm tall.
Step-by-step explanation: Yolanda's sunflower is 12 cm more than Jean's sunflower. Yolanda's sunflower is 75cm. To find Jean's sunflower's size in cm simply subtract 12 cm from 75 cm.
75 = 12 = 63
So, Jean's sunflower is 63 centimeters tall.
1 1/4 times 2/5 divided by 3 1/3
Which of the following Supreme Court justices served as the chief justice of the Court?
A. Justice Steven Breyer
B. Justice Antonin Scalia
C. Justice John Roberts
D. Justice Sonya Sotomayor
Answer:
the answers not B THE ANSWER IS C
Step-by-step explanation:
C. Justice John Roberts On September 5, 2005, President George W. Bush announced that he would nominate Judge John Roberts for the position of Chief Justice of the Supreme Court of the United States, to succeed William H. Rehnquist, who had died two days earlier.
Answer:
C
Step-by-step explanation:
yep
What is the solution?
Answer:
1)x=13-15 => x=-2
2)-6x=-30 => x=5
3)x/4=18 => x=72
4)x-2=-11 => x=9
Step-by-step explanation:
i need to finish my homework
4/9(3/8x-27/16)=13/4
Answer:
x=24
Step-by-step explanation:
Help!!to show your work!!
22/44 rational or irrational?
Answer:
RATIONAL NUMBER
Step-by-step explanation:
22/44=2/4
IT IS IN THE SIMPLEST FORM AND IN THE FORM OF P/Q where as q is not equal to 0.
What is estimation? When is it helpful to use estimation?
Answer:
Estimation is the process of arriving at an approximate answer to a question. It is helpful to use estimation when you need to calculate something fast or the data/information your given is uncertain or unstable
Step-by-step explanation:
Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?
Answer:
line one should have a y-intercept at (0,2).
Step-by-step explanation:
Answer: A
Step-by-step explanation: line one should have a y-intercept at (0,2).
For her phone service, Rita pays a monthly fee of $17, and she pays an additional $0.05 per minute of use. The least she has been charged in a month is $83.90.
What are the possible numbers of minutes she has used her phone in a month?
Use M for the number of minutes, and solve your inequality for M.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Monthly fee = $17
Additional fee per unit of use = $0.05
Least amount she's been charged in a month = $83.90
Equation to represent the number of minutes 'M':
monthly fee + (additional fee per minute × M) = $83.90
Possible number of minutes :
83.90 ≤ $17 + 0.05M
$17 + $0.05 × M = $83.90
$0.05*M = $83.90 - $17
$0.05*M = $66.90
M = $66.90 / 0.05
M = 1,338 minutes
A scuba driver was swimming at an elevation of -8 meters. A shark was swimming at an elevation of -29 meters. Find the difference between these two elevations.
Answer:
-21
-29-(-8)=-21
Find the sum of the squared residuals for each potential line of fit, and then determine which potential line is the true line of best fit. Equation 1 Square of residual .28 .167 .19 Equation 2 Square of residual .005 .110 .09 Equation 3 Square of residual .125 .125 .26 Equation 4 Square of residual .212 .009 .08 Question 8 options: Equation 4 Equation 1 Equation 3 Equation 2
Answer: Equation 2
Step-by-step explanation:
Equation 1 Square of residual .28 .167 .19
Sum of Square Residual :
( .28 + .167 + .19) = 0.637
Equation 2 Square of residual .005 .110 .09
Sum of Square Residual :
(.005 + .110 + .09) = 0.205
Equation 3 Square of residual .125 .125 .26
Sum of Square Residual :
( .125 + .125 + .26) = 0.51
Equation 4 Square of residual .212 .009 .08
Sum of Square Residual :
( .212 + .009 + .08) = 0.301
Equation 2 is the best potential line of best fit as it has lowest value of sum of square residual. And the best line of fit is one which the sum of Squared error is lowest.
If g(x) = 10 + 2x what is g(-3)
Answer:
4
Step-by-step explanation:
[tex]g(x)=10+2x\\\\g(-3)=10+2(-3)\\\\g(-3)=10+-6\\\\g(-3)=10-6\\\\\boxed{g(-3)=4}[/tex]
Hope this helps.
36599 round to the nearest thousand
Answer:
If you round to the nearest thousand, you get; 37,000