Answer:
[tex]f(n) = 5 + f(n - 1)[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 5n - 2[/tex]
Required
Write a recursive expression
[tex]f(n) = 5n - 2[/tex]
When n = 1
[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]
[tex]f(1) = 3[/tex]
When n = 2
[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]
[tex]f(2) = 8[/tex] can be rewritten as
[tex]f(2) = 5 + 3[/tex]
Substitute 3 for f(1)
[tex]f(2) = 5 + f(1)[/tex]
Express 1 as 2 - 1
[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)
When n = 3
[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]
[tex]f(3) = 13[/tex] can be rewritten as
[tex]f(3) = 5 + 8[/tex]
Substitute 8 for f(2)
[tex]f(3) = 5 + f(2)[/tex]
Express 2 as 3 - 1
[tex]f(3) = 5 + f(3 - 1)[/tex] ------ (2)
Write out (1) and (2)
[tex]f(2) = 5 + f(2-1)[/tex]
[tex]f(3) = 5 + f(3 - 1)[/tex]
Replace 2 and 3 with n in both cases; This gives
[tex]f(n) = 5 + f(n - 1)[/tex]
Hence;
The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]
For f(x) = -3x - 5, find f(-11). Explain what f(11) really means for the problem ?? Need this in like the next 4 hours please!!!!
Answer:
for -11, 28. for 11, -38
Step-by-step explanation:
Typos in your question. can't tell if you need -11 or pos 11
-3(-11)-5 = 33-5= 28
-3(11)-5 = -33-5 = -38
I need help ASAP please and thank you!!:)
Answer: The mean of the data will decrease.
The median of the data will not change.
The range of the data will decrease.
Answer:
Mean original, (14.3)
Median original, (14.5)
Range original, (25)
After removing 35
Mean: 13.1
Median: 14.5
Range: 7
Step-by-step explanation:
mean- add all numbers together and divide by the amount of numbers there.
median- the middle number.
range- the largest minus the smallest number.
Dominick wants to determine the maximum capacity of a cylindrical bucket that has a radius of 6 inches and a
height of 12 inches. What is the capacity of Dominick's bucket? Round your answer to the nearest tenth. Don't
forget the label.
Hey there! I'm happy to help!
To find the volume of a cylinder, you multiply the base by the height.
First, let's find the base.
The base is a circle. To find the area of a circle, you square the radius and multiply by 3.14 (pi).
6²=36
36(3.14)=113.04
We multiply this by the height.
113.04(12)=1356.48
And we round to the nearest tenth.So, the maximum capacity of Dominick's bucket is 1356.5 cubic inches. If you use the entire pi number you would get something more around 1357.2, so that could be the answer if the first is incorrect.
Have a wonderful day! :D
Have a wonderful day!
HELPPPPPPPPP MEEEEEEEEE! DUE IN 30 MIN!!! I REALLY NEED HELP WITH THIS PROBLEM!!!
Professor Slughorn has created and sold three different magical potions where if a person drinks them, he or she magically can fly, breathe underwater, or read minds. He sold ten more flying potions than mind-reading potions. The number of breathing underwater potions he counted was two more than three times the number of mind-reading potions. If he sold a total number of 102 potions, how many were for breathing underwater?
Answer:
56 underwater breathing potions.
Step-by-step explanation:
Written algebraicly, f=m+10 and b=3m+2, with f being flying potions, b being breathing underwater, and m being mind reading potions. We know that f+b+m=102, so replace f and b with the equations. You get m+10 + 3m+2 + m +102. Combine like terms to get 5m+12+102. Subtract 12 from both sides to get 5m=90, and divide both sides by 5 to get m=18. Now take b=3m+2 and replace m with 18. Now you have b=3(18)+2. 3 times 18 is 54, plus 2 is 56. :)
show work
1) n - 8 = -3
2) -2m=-24
3) m/2=-7
4) 2/3y=20
(20 points for answers all)
Answer:
n = 5m = 12m= -14y =30Step-by-step explanation:
1.
[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]
2.
[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]
3.
[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]
4.
[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]
I NEED HELP ASAPP PLEASE THIS IS DUE FOR SCHOOL PLEASE HELP ASAP and I don't have a calculator at home so I can't do this 2{3+10/2+62-(4+2)}
Answer:
128
Step-by-step explanation:
Factor Completely.
3x^2-75
Answer:
3(x+5)(x−5)
Step-by-step explanation:
Answer:
3(x - 5) x (x + 5)
^
multiplication sign btw
Step-by-step explanation:
3(x^2 - 25)
3(x - 5) x (x+5)
hope it helped
brainliest is appreciated
What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ6
3y + 8 = ½ y + 28 Find y
[tex]\text{Hi there! :]}[/tex]
[tex]\large\boxed{y = 8}[/tex]
[tex]3y + 8 = 1/2y + 28\\\\\text{Subtract 8 from both sides:}\\\\3y + 8 - 8 = 1/2y + 28 - 8\\\\3y = 1/2y + 20\\\\\text{Subtract 1/2y from both sides:}\\\\3y - 1/2y = 1/2y - 1/2y+ 20\\ \\\text{Convert 3y to 6/2y to make subtracting easier:}\\5/2y = 20\\\\\text{Divide both sides by 5/2 (Multiply by reciprocal, or 2/5):}\\\\\\5/2y * 2/5 = 20 * 2/ 5\\\\y = 8[/tex]
how do i check my answer for y-16-3y=0
Answer:
what ever y equals plug it back into the problem and if get 0=0 then u got
Step-by-step explanation:
it
Multiply.
(2.1×102)×(3.5×105)
Answer:
78,718.5
Step-by-step explanation:
2.1*102=214.2
3.5*105=367.5
214.2*367.5=78,718.5
I have an assignment due today. I need help.
If you have time to help me and your serious about it comment on this and I’ll send the problems I need help with.
Thank you
Answer:
62 m/s = 138.7 mi/h
Step-by-step explanation:
62 m/s = 62 x (3600/1000) x (1/1.61)
= 138.7 mi/h
Best Regards!
hello If a map is drawn using a scale of 1cm/80mi and the two cities are 280 miles apart how far apart are the cities on the map?
Answer:
3.5 cm.Step-by-step explanation:
scale 1cm : 80mi.
280mi x 1 cm
80mi
= 3.5 cm.
Answer:
3.5 cm
Step-by-step explanation:
this question is really easy to solve once you understand it!
all i did was divide 280 by 80, because 1 cm = 80 m, 280/80 = 3.5 cm
MONEY FOR FUN
If you earn $50,000 a year
and spend 5 percent of
that on sports and enter-
tainment, how much do
you spend per year on
sports and entertainment?
Th
Answer:
$2,500
Step-by-step explanation:
1.) 5% would be switched to decimal form which is 0.05
To do this, start with 5.
Move the the decimal point two place values to the left.
2.) Now multiply 50,000 and 0.05
3.) This equals 2,500
solve for x: 3/2+1/2x=2x
A rectangle has a length of 8.3cm and a permimeter of 22.4 cm. Enter the widty of the rectangle, in decimal form, in the box.
Answer:
the width is 2.9
Step-by-step explanation:the perimeter is found by L+W+L+W. Each L is going to be the same length and each width is going to be the same length since its a rectangle.
Double the length. 8.3+8.3= 16.6
Then subtract that from the perimeter. 22.4-16.6= 5.8
Then divide 5.8 as that is the total of the two missing sides. 5.8/2= 2.9
Then 2.9 is your answer. Hope that helps.
Hi if anyone is active can you tell me how to find the distance i’m kind of struggling in the unit of math:(
Find the distance between: -14.5 and 13
Answer:
I'm not sure :(
Step-by-step explanation:
I'm sorry
Andrea wanted to know how much farther she ran on Tuesday than on Monday. Her work is below.
A student showing work for 4.705 minus 3.6 = 4.669. The decimal for 3.6 is between the 0 and 5 in 4.705.
What mistake did Andrea make when solving the problem?
She did not align the decimal points.
She did not rename correctly.
She added instead of subtracted.
She did not subtract 15 and 6 correctly.
Answer:
its A.
Step-by-step explanation:
I just answered it :)
Answer:
She did not align the decimal points.
Step-by-step explanation:
how do i solve for equations that have 2 variables
Answer:
To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.
Step-by-step explanation:
To solve for an equation with two variables, substitute a zero(0) into the other variable and find one variable.
Simple Example:
3x+3y=12
Substitute 0 as y,
3x+0=12
3x=12
12/3=4
x=4
Now substitute 4 into the main equation,
3(4)+3y=12
12+3y=12
-12 -12
3y=0
0/3=0
y=0
So the answer is
3(4)+3(0)=12
12=12
which figures do not have lateral area?
which is greater 3.6 m or 36 cm?
Answer:36
Step-by-step explanation:
Anything without a decimal is greater then that decimal
What is 9+10? is it 21?
Answer:
I know the joke your trying to pull of :>
Step-by-step explanation:
But if u really need help it's 19
10+9=19
instead of 21
Hope you liked
Thank YouMorgan, Dakota and Taylor showed their work solving the equation 7x+5x+1=73. Identify the student with the invalid first step and justify your reasoning. Morgan: 7x+5x+1=73 12x+1=73 Dakota: 7x+5x+1=73 7x+6x=73 Taylor: 7x+5x+1=73 7x+5x=72
Answer:
Step-by-step explanation:
Given the equation solved by Morgan, Dakota and Taylor expressed as 7x+5x+1=73, to get the value of x, the valid steps are as shown;
7x+5x+1=73
take the sum of 7x and 5x
12x+ 1 = 73
subtract 1 from both sides
12x+1-1 = 73-1
12x = 72
Divide both sides by 12
12x/12 = 72/12
x = 6
Based on the calculation above, the students with invalid first step is Dakota.
Dakota added 5x with 1 to get 6x which is an invalid step because 1 is not attached to a variable x. A function cannot be added to a constant hence making his first step invalid.
Answer:
As you can see, Taylor failed to add 1 to her equation. This ruins the whole first step. She also used 72 instead of 73 for the answer. Taylor is incorrect.
The diagram below shows
two similar
similar rectangles.
Find the perimeter of the
combined figure.
5 cm
13 cm
Answer:
Perimeter of 1st rectangle=20cm
Perimeter of 2nd rectangle=52cm
Julio is paid 1.4 times hiş normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and earned $436.60. Write and solve an equation to find Julio's normal hourly rate, r. Explain how you know that your answer is reasonable. *
Answer:
Julio is paid 1.4 times his normal hourly rate for every excess hour he works in a week.
last week he worked 35 hours and got 436.60 dollars.
We need to find an equation so we can be able to solve Julio’s earnings:
=> Let X be the value of Julio’s rate
=> 30 * X + 5 x 1.4x = 436.6
=> 30x + 7x = 436.6
=> 37x = 436.6
=> 37x / 37 = 436.6 / 37
=> x = 11.8
Thus the original rate of Julio is 11.8 dollars
=> 1.4 x 11.8 = 16.52 dollars, the rate of Julio with added rate
=> 30 x 11.8 + 5 x 16.52
=> 354 + 82.6
=> 436.6
Step-by-step explanation:
please solve this step by step I'll mark you as brainliest b(a-6)=
help please my teacher won't help me .
the answer to #2
Answer:
b
Step-by-step explanation:
a is not correct because the domain includes negative numbers as well
c is not correct because the domain includes positive numbers as well
and
d is not correct because the range for this function includes ordered pairs from the quadrants I and III (not I and IV)
hope this helps :)
Patrick left an $8 tip on a $50 restaurant bill. What percent tip is that?
Solve for d:
df + 5d = h
Answer:
d=hf+5
Step-by-step explanation:
Step 1: Factor out variable d.
d(f+5)=h
Step 2: Divide both sides by f+5.
d(f+5)f+5=hf+5
d=hf+5
Jasmine was observing her farm from a hot air ballon when she accidently dropped her telescope. As always on earth the formula to find the distance has fallen , d, after t seconds, is the triangle D= 16t^2. How far has the telescope fallen after 1 second. First person to answer gets brainliest
Answer:
D=16m
Step-by-step explanation:
D=16t^2
D=16×1
D=16m