"What is the equation of the line parallel to the given line with an x-intercept of 4?"
y = __x + __
A sequence is recursively defined by f(1)=3,f(n)=2* f(n-1) for n >=2. Write the equation for the nth term
Given:
[tex]f(1)=3,f(n)=2\times f(n-1)[/tex] ...(i)
For [tex]n\geq 2[/tex].
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
[tex]f(n)=r\times f(n-1)[/tex] ...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
[tex]r=2[/tex]
Now,
First term: [tex]a=f(1)=3[/tex]
Common difference: [tex]r=2[/tex]
nth term of a GP is
[tex]f(n)=ar^{n-1}[/tex]
Putting a=3 and r=2, we get
[tex]f(n)=3(2)^{n-1}[/tex]
Therefore, the equation for the nth term is [tex]f(n)=3(2)^{n-1}[/tex].
What are all equivalent expressions to 4w+7w
Answer: 11w
Step-by-step explanation: you can add 4w and 7w since they both have the variable w.
I need the answer ASAP no rocky
Answer:
u = -10
Step-by-step explanation:
Hope this helps! I pray that you get it right and that I get brainliest plzzzz. Thanks!!
Add and Subtract the fractions below: 1/3 and 1/4
Addition Answer: 1/3 + 1/4 = 4/12 + 3/12 = 7/12
Subtraction Answer: 1/3 - 1/4 = 4/12 - 3/12 = 1/12
Step-by-step explanation:
Basically, find the greatest common multiple of 3 and 4. Once you do this, then you can multiply across and solve any fraction problem!
Find the values of the variables. 9th/10th grade level (see picture)
Answer:
1.) x = 30
2.) y = 15
Step-by-step explanation:
(3x - 40)° and (2x - 10)° are vertical angles, so they will always be the same
1.) 30
3x - 40 = 2x - 10
3x - 2x = 40 - 10
x = 30
2.) 15
(6y - 10)° + (6y + 10)° = 180°
6y + 6y + 10 - 10 = 180
12y = 180
12y/12 = 180/12
y = 15
Answer:
stop telling people to do your homework on canvas!
Step-by-step explanation:
A Census Bureau report on the income of Americans says that with 90% confidence the mean income of all US households in a recent year was $57,005 with a margin of error of $742. This means that
Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.
Step-by-step explanation:
No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.
This invalidates options a to c.
Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.
A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink B contains 15% real fruit juice. The company used 100.5 liters of real fruit juice to make 30 more liters of Drink A than liters of Drink B. Write a system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made. Define the variables that you use to write the system.
Answer:
There needs to be 300 liters of Drink A and 270 liters of Drink B
Step-by-step explanation:
Let a = the amount of Drink A and b = the amount of Drink B
Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:
0.2a + 0.15b = 100.5
We know what the difference between a and b will be 30 liters so:
a - b = 30
Now we have our system of equations
To cancel out a, we can multiply the first equation by -5 so we will now have:
-a - 0.75b = -502.5
a - b = 30
Adding these two equations together, we get:
-1.75b = -472.5
Both sides are negative, so we can take the negative signs away.
1.75b = 472.5
Now divide both sides by 1.75
b = 270
Plugging 270 into b, we have:
a - b = 30
a - 270 = 30
Add 270 to both sides
a = 300
There needs to be 300 liters of Drink A and 270 liters of Drink B
The system of linear equations which could be used to find the amount in litres of drinks A and B are :
(0.2a + 0.15b) = 100.5a - b = 30Let :
Amount of drink A = a
Amount of drink B = b
Percentage of real fruit juice for drink A = 20%
Percentage of real fruit juice for drink B = 15%
Total litres made = 100.5
(Amount of drink A × percentage) + (Amount of drink B × percentage) = Total litres
(0.2a + 0.15b) = 100.5 - - - - - (1)The difference between the amount of drink A and B made :
Drink A is 30 liters more than B :
a - b = 30 - - - - - (2)The system of equations required to determine the amount of drink A and B made are :
(0.2a + 0.15b) = 100.5a - b = 30Learn more : https://brainly.com/question/20379472?referrer=searchResults
3[ 2(10-5) +5(6-5) ] =
The answer is 45 (explained down at the image).
Answer:
45
Step-by-step explanation:
What you wanna do is just simplify the equation as much as possible:
First, the inner parenthesis:
2(10-5)=20-10=10
5(6-5)=30-25=5
And then we have:
3(10+5)=
Just simplify! :)
30+15=45
45
find the value of y in the formula y=5a-3b+c, if a=12, b=4, and c=8
Answer:
5. Is your answer for ur questions
Answer:
y= 56
Step-by-step explanation:
y=5a-3b+c
a=12, b=4, c=8
y= 5(12) - 3(4) + (8)
y= 60 - 12 + 8
y= 56
- I hope this helps have a great night
Melissa ran at a constant speed of 509.056 meters in 62.08 seconds. How far did Melissa run in one second?
Answer:
8.2
Step-by-step explanation:
509.056/62.08
Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years
Answer:
here's the answers...,........
Middle School has 700 students. 70% of its students are remote
learners. How many students are remote learners?
Answer:
490 students are remote learners
Step-by-step explanation:
Answer:
490
Step-by-step explanation:
hope this helps
have a nice day!
:)
=
105 min
game
?hr.
game
Help please
Answer:
105 minutes= 1 hour and 45 minutes
Answer:
1 hour and 45 minutes
or
1.75 hours
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
Answer I will cashapp you!!!
Answer:
should be y= 4x + 24 let me know if it was wrong
16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes
Answer:
equation: y=-2,000x+30,000
altitude after five minutes: 20,000
Step-by-step explanation:
y = altitude of the plane
x= slope (the plane descends -2000 feet per min, so the slope is -2000)
the y-intercept is 30,000 as the plane begins at 30000 feet above ground
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
please help me I dont know the answer
Answer:
2.71
Step-by-step explanation:
Its as simple as plugging in the values of y and z.
THis would give you
-1.46 + (-3.82) + 7.99
This plus^ you can think about having a 1 in front of it like
-1.46 + 1 (-3.82) +7.99
Multiple positive 1 with -3.82 1 times any value is that number, and positive times negative is negative. then looking like this:
-1.46 - 3.82 + 7.99 plug into a calculator and you get +2.71
Answer:
2.71
Step-by-step explanation:
We'll add the first value and the value in parentheses, being -3.82, then we'll add y, which is a negative because "-y", being -1.46. That becomes -5.28.
We'll then take our -5.28 and add 7.99, which will become 2.71.
Therefore, 2.71 is your answer.
Which of the following would earn the same amount of interest as a $600 principal with 2.5%
interest for 6 years?
Answer:$225 at 10% for 4 years and $80 at 75% for 18 months
Step-by-step explanation:
The required interest earned is given as $90, as of the given condition.
Given that,
Principal = $600
Rate = 2.5% and time = 6 years
Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan.
Here,
Simple interest = principal × rate × time /100
Simple interest = 600× 2.5× 6 /100
Simple interest = 90
Thus, the required interest earned is given as $90, as of the given condition.
Learn more about simple interests here:
https://brainly.com/question/26457073
#SPJ5
Juan hires an electrician.
Juan pays a one-time fee of $30.
Juan also pays $45 for each hour the electrician works.
Write a function that can be used to find the total charge, c, Juan will pay when the electrician works,h, works
Answer:
c = 45h + 30
Step-by-step explanation
Hi! You know that you are trying to find the value of c, so you are going to set that as what would be your y value.
Now you know that you have to pay $30 as a fee no matter what, so you need to make sure that there is $30 attached to the equation without it being multiplied by anything.
Next, you know that it is $45 per hour, so you are going to multiply 45*h, where h is the number of hours the electrician works.
Hope this helps!
50 POINTS PLUS BRAINLIEST
Answer:
New depth: 11.8 feet
Step-by-step explanation:
0.4 x 3 = 1.2 feet / 1.2 feet in 3 seconds
13 - 1.2 = 11.8
Hope this helps!
xoxo,
cafeology
Answer:
43.5 ft below the surface
Step-by-step explanation:
0.5*5= 2.5
-46+2.5= -43.5
PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER
Answer:
WHATT IS THIS MATH IT LOOKS SO HARD:0
In the context of this graph, what do the slope and y-intercept mean?
Help me for a brainliest
24/514.8
I really need help on this question please help me
I'm begging thanks :)
Answer:
the answer is .04634994206
Plsss help pay money of mark brainlist
Answer:
yes, ASA
Step-by-step explanation:
You have two angles and the included side of two triangles, so you can prove the triangles are congruent by ASA.
y = 3x + 10 when x = -5
Answer:
25
Step-by-step explanation:
Answer:
the answer would be -5 because
Step-by-step explanation:
y=3(-5)+10
y=-15+10
y=-5
Lucy has to run two errands. She starts from home and
travels 3 miles south to the post office. From the post
office, she travels 4 miles east to the gas station. Then,
from the gas station, she travels 5 miles to return home.
The entire trip forms a triangle.
What was the smallest angle made in her trip?
Answer:
My answer is at the gas station. I hope my answer helped.
When Lucy traveled to the post office and then to the gas station the angle was 90 degrees, at the post office. Then when Lucy was traveling back home from the gas station the angle was a 45 degree. So the smallest angle made during her tip was at the gas station.
Step-by-step explanation:
O
f(x) = 4x −2+ 7x
1) f(8) =
2) f(-5) =
3) f(0) =
Random variation in a process indicates __________; whereas non-random variation indicates process __________.
Answer: b. Stability/instability
Step-by-step explanation:
Random variation in a process indicates stability; whereas non-random variation indicates process instability.
When there is random variation in a process, it means that the process is stable and under control such that the only variations are those expected to be in the process.
When the variation is non-random however, it points to instability in process because this variation is special and not inherent in the process.