Answer:
n = 13
Step-by-step explanation:
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
[tex]a_{n}[/tex] = 3 + 7(n - 1) (for the first AP)
[tex]a_{n}[/tex] = 63 + 2(n - 1) ( for the second one)
3 + 7(n - 1) = 63 + 2(n - 1)
3 + 7n - 7 = 63 + 2n - 2
5n = 65
n = 13
Answer:
n = 13
Step-by-step explanation:
AP = 2, 10, 17 ...
AP1 = 63,65, 67
Find the general term of AP
L = a + (n - 1)*d
a = 2
d = 7
Find the general term of AP1
L = 63 + (n - 1)*d
a = 63
d = 2
Equation to equate both of them
L = 3 + (n-1)7
L1 = 63 + (n - 1)*2
Equate L and L1
2 + (n - 1)*7= 63 + (n-1)*2 Subtract 3 from both sides
(n - 1)*7 = 63 - 3 + (n - 1)*2 Remove the brackets
7n - 7 = 60 + 2n - 2 Combine the like terms on the right
7n - 7 = 58 + 2n Subtract 2n from both sides
7n - 2n -7 = 58 Add 7 to both sides
5n = 58 +7 Divide by 5
n = 65/5
n = 13
So the 13th term on each series is equal.
L_13 = 3 + (13 - 1)*7
L_13 = 3 + (12)*7
L_13 = 87
=====================
L'_13 = 63 + (13 -1 ) * 2
L'_13 = 63 + 12*2
L'_13 = 87
Find the distance between the two points rounding to the nearest tenth (if necessary). (−2,−2) and (0,7)
Answer:
9 units
Step-by-step explanation:
(0,7)-(-2,-2)= (2,9)
distance = 9 units
Answer:
2.2
Step-by-step explanation:
(-2,-0)^2+(-2,-7)^2
(-2)^2+(-9)^2
4+81
85
9.2
Help me please thank you I appreciate it
Carla currently has $300 in her bank account. Each time she goes to the ATM,
she withdraws $20. Write an equation representing this situation:
Answer:
y = -20x + 300
Step-by-step explanation:
y is total amount of money left (because this is the answer we are trying to find.)
x is the amount of times she goes to the ATM (because this is our unknown variable.)
-20 multiplies by x because she loses $20 every time she goes to the ATM. The equation has + 300 because she already has $300 in her bank account.
Rewrite the following equation in exponential form.
log49 (7)=1/2
Answer:
49^1/2 =7
Step-by-step explanation:
log49(7)=1/2
in exponential form
49^1/2 =7
Write the following numbers in order of size.
Start with the smallest number.
-4
5
0
-2
3
slove for x
(6x+4)+81+41
The three linear equations have y intercept of -3.8 and 7 respectively. Yet, a function can have only one y intercept. which of these is the y intercept of this function? explain how you made your choice.
Answer:
agagasg
Step-by-step explanation:
Please help me fast!!!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Chicago tour schedule :
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + (1 hour 15 minutes)
Total touring time in Chicago = 4 hours 35 minutes
Dinner time is slated at 5:10 pm
Latest time to start tour :
5:10 pm - 4 hours 35 minutes = 1 :35 pm
Each patron pays an annual fee of $36 to the library at the library collects $20,304 for an annual fee how many patrons are there
What is the root of the polynomial equation x (x minus 2) (x + 3) = 18? Use a graphing calculator and a system of equations. –3 0 2 3
Answer:
D) 3
Step-by-step explanation:
Using the graphing calculator, the roots of the polynomial equation are 3
What are polynomial functions?They are functions that has a degree of 3 and above. Given the expression
x(x-2)(x+3) = 18
Expand
(x²-2x)(x+3) = 18
x³+3x²-2x² -6x-18 = 0
x³+x² -6x-18 = 0
Using the graphing calculator, the roots of the polynomial equation are 3
Learn more on factoring here: https://brainly.com/question/24734894
#SPJ2
Please help me thank you so much I appreciate it for the helping hand !!!!!
Answer:x=7
Step-by-step explanation:
Steps down below. Remember that angles on a straight line add up to 180 degrees
Help ASAP
The value of y varies directly with x. When y= 80, x= 2. What is the value of y when x is 2?
100
O 64
O 156
O 400
Answer:
I just know something that answer is 156
please help. as soon as possible would be great thank you
The number of visits to public libraries increased from 1.3 billion in 1994 to 1.6 billion in 1999. Find the average rate of change in the number of public library visits from 1994 to 1999.
Answer: 60 million per year
Step-by-step explanation:
The average rate of change in the number of public library visits from 1994 to 1999 will be calculated thus:
Average rate of change = change in number of vists in billions / number of years passed
= (1.6 billion - 1.3 billion) / 1999 - 1994
= 0.3 billion/5
= 60,000,000
= 60 million per year
So i need help with the question below.
Answer:
Option (1)
Step-by-step explanation:
Option (1)
[tex]3\frac{3}{9}+7\frac{6}{11}=10\frac{87}{99}[/tex]
[tex]3\frac{3}{9}+7\frac{6}{11}[/tex] [tex]=3+\frac{3}{9}+7+\frac{6}{11}[/tex]
[tex]=(3+7)+(\frac{3}{9}+\frac{6}{11})[/tex]
[tex]=10+(\frac{3}{9}\times \frac{11}{11})+(\frac{6}{11}\times \frac{9}{9})[/tex]
[tex]=10+(\frac{33}{99}+\frac{54}{99})[/tex]
[tex]=10+\frac{87}{99}[/tex]
[tex]=10\frac{87}{99}[/tex]
True.
Option (2)
[tex]2\frac{3}{8}+6\frac{4}{5}=8\frac{12}{40}[/tex]
[tex]2\frac{3}{8}+6\frac{4}{5}=2+\frac{3}{8}+6+\frac{4}{5}[/tex]
[tex]=(2+6)+(\frac{3}{8}+\frac{4}{5})[/tex]
[tex]=(8)+(\frac{3}{8}\times \frac{5}{5} +\frac{4}{5}\times \frac{8}{8})[/tex]
[tex]=8+(\frac{15}{40}+\frac{32}{40})[/tex]
[tex]=8+\frac{47}{40}[/tex]
[tex]=8+\frac{40}{40}+\frac{7}{40}[/tex]
[tex]=8+1+\frac{7}{40}[/tex]
[tex]=9+\frac{7}{40}[/tex]
[tex]=9\frac{7}{40}[/tex]
False.
Option(3)
[tex]3\frac{3}{7}+4\frac{2}{3}=7\frac{2}{21}[/tex]
[tex]3\frac{3}{7}+4\frac{2}{3}=(3+\frac{3}{7})+(4+\frac{2}{3})[/tex]
[tex]=(3+4)+(\frac{3}{7}+\frac{2}{3})[/tex]
[tex]=7+(\frac{3}{7}\times \frac{3}{3} +\frac{2}{3}\times \frac{7}{7})[/tex]
[tex]=7+(\frac{9}{21}+\frac{14}{21})[/tex]
[tex]=7+(\frac{23}{21})[/tex]
[tex]=7+(\frac{21}{21}+\frac{2}{21})[/tex]
[tex]=8+\frac{1}{21}[/tex]
[tex]=8\frac{1}{21}[/tex]
False.
Option (4)
[tex]4\frac{5}{6}+5\frac{5}{7}=9\frac{10}{13}[/tex]
[tex]4\frac{5}{6}+5\frac{5}{7}=4+\frac{5}{6}+5+\frac{5}{7}[/tex]
[tex]=(4+5)+(\frac{5}{6}+\frac{5}{7})[/tex]
[tex]=9+(\frac{5}{6}\times \frac{7}{7}+\frac{5}{7}\times \frac{6}{6})[/tex]
[tex]=9+(\frac{35}{42}+\frac{30}{42})[/tex]
[tex]=9+\frac{65}{42}[/tex]
[tex]=9+(\frac{42}{42}+\frac{23}{42})[/tex]
[tex]=9+1+\frac{23}{42}[/tex]
[tex]=10\frac{23}{42}[/tex]
False.
Therefore, Option (1) is the answer.
Find the slope of the line containing the points in the table below
Answer:
slope = 3
Step-by-step explanation:
Choose any two points: For example, (2, 4) and (4, 10)
Find the difference in y. This is called the "rise."
rise = 10 - 4 = 6
In the same order, find the difference in x. this is called the "run."
run = 4 - 2 = 2
slope = rise/run
slope = 6/2
slope = 3
Which is the correct answer?
(explain how you got your answer)
Answer:
Option B. f¯¹(x) = ³√(– x – 9)
Step-by-step explanation:
From the question given above:
f(x) = – x³ – 9
f¯¹(x) =?
We can obtain the inverse f¯¹(x) of the above equation by doing the following:
f(x) = – x³ – 9
Replace f(x) with y
y = – x³ – 9
Interchange x and y
x = – y³ – 9
Make y the subject . This is illustrated below:
x = – y³ – 9
Rearrange
x + 9 = – y³
Multiply through by –1
–(x + 9) = y³
y³ = – x – 9
Take the cube root of both side
y = ³√(– x – 9)
Replace y with f¯¹(x)
f¯¹(x) = ³√(– x – 9)
Thus, the inverse of the function
f(x) = – x³ – 9
is
f¯¹(x) = ³√(– x – 9)
Marita always listen to her favourite radio station when she drives her car
Everymoarning she listen to her radio
Solve 81(88w+82)=-207198
Group of answer choices
w=-30
w=-29
w=-28
w=-31
Answer:
w=-30
Step-by-step explanation:
81(88w+82)=-207198
7128w+6642=-207198
7128w=-213840
w=-30
15 divided by 19.5. help, please.
Answer:
Step-by-step explanation:
0.76923076923
Daisy used a wooden board for a craft project. The board was 9 feet 4 inches tall. How tall is the board in inches?
Answer:
112
Step-by-step explanation:
A foot is 12 inches so you do 12 times 9 and then plus the four already listed inches
Answer:
112 inches
Step-by-step explanation:
Please help due today!!!!
Answer:2)75% 3)36 ounces 4)667 5)90 problems 6)4680
Step-by-step explanation:
Think these r correct. 2) 24/32 then multiply by 100=75%. 3)90% of 40=36. 4)580 x 1.15 (multiplier) which equals 667. 5)81/90 is 90% so the denominator is all the problems. 6)65% of 7200 is 4680.
PLS PLS HELP! WILL GIVE BRAINLIEST IF ALL QUESTIONS ARE ANSWERED AND IF THEY’RE RIGHT!
Brad made a graph showing how many students were absent from school every day last week.
Use the graph to answer the questions.
1. List the ordered pairs for the graphed points.
Write your answer in the space below.
2. How many students were absent on day 3? Explain how you know.
Write your answer in the space below.
3. On which day were the greatest number of students absent? How many students were absent that day?
Write your answer in the space below.
4. Is the relation represented by the graph a function? Why or why not?
Write your answer in the space below.
Answer:
1. (1,7),(2.10),(3,5),(4,7),(5,9)
2. There were 5 students absent on day 3. I know because it shows on the graph.
3. Day 2 was the greastes number of studnets absent. There were 10 students absent that day.
4. The relation represented is a function becasue for each x-value there is only one y-value.
Step-by-step explanation:
What is 4π=w−6π
PLEASE HELP
Answer:
w = 10π
w ≈ 31.4159
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
4π = w - 6π
Step 2: Solve for w
Add 6π on both sides: 10π = wRewrite: w = 10πEvaluate: w ≈ 31.4159Answer and Step-by-step explanation:
4[tex]\pi[/tex] = w -6[tex]\pi[/tex]
Add 6[tex]\pi[/tex] to both sides.
10[tex]\pi[/tex] = w
(10 pi equals variable w)
This is your answer.
#teamtrees #WAP (Water And Plant)
(5x+3) - (2x-6) i need help ? ToT
Answer:
3x + 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
(5x + 3) - (2x - 6)
Step 2: Simplify
Distribute negative: 5x + 3 - 2x + 6Combine like terms (x): 3x + 3 + 6Combine like terms (Z): 3x + 9what is the average marks of 215
Answer:
Average marks are 60.❤️❤️❤️❤️
.......-11d+6=13d+22
(Plz help me)
Answer:
d=1.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
-11d+6=13d+22
-11d - 13d = 22 - 6
-24d = 16
Math Problem again will mark brainliest.
Answer:
The answer to this problem would be A.
Step-by-step explanation:
For childcare facilities for each visit is $9, we would say 9x because we dont know the exact amount of time that she visits the gym with her child. Her monthly gym bill is $32 which would ve added to the amount she would pay for childcare. The sum of it all should be less than or equal to that of $122.
Answer:
A. 9x + 32 ≤ 122
Step-by-step explanation:
$32 is the fixed monthly due
$9 everytime she uses childcare
$122 is the maximum she wants to spend This month.
32 + 9x ≤ 122
Which one of the statements below is FALSE?
O Graphing is a method for solving a System of Equations.
Substitution is a method for solving a System of Equations.
Simplification is a method for solving a System of Equations.
Elimination is a method for solving a System of Equations.
Answer:
Simplification is a method for solving a system of equations
Step-by-step explanation:
-Graphing is a real way to solve a System of Equations
-Substitution is a real way to Solve Systems of Equations
-Elimination is a real way to solve Systems of Equations
so, Simplifcation can't be one
Take 2x-4y=6 and 4x+2y=17 for example.
They are both in standard form, so you could change them to y=mx+b and graph it. The intersection is the correct answer.
You can also solve one of the equations for y or x, and substitute that into the other equation, and solve for both x and y
or, you could add the two equations together and solve for x and y.
You can't simplify them.
which of these numbers are multiples of 6 choose all that apply
Answer:
12, 24, 36, 48, 60, 72
Step-by-step explanation:
Answer:
ok its c daddy hope it helps dad
Step-by-step explanation:
