Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
can anyone help me plz
Answer:
x = 24
Step-by-step explanation:
x/4 + 10 =16
-10 -10
x/4 = 6
*4 *4
x=24
hope this helps! :)
what are dependent and independent variables in a function
Answer:
An independent variable is a variable that represents a quantity that is being manipulated in an experiment. ... In the context of a function, the independent variables are the inputs to the function and the dependent variables are the outputs of the function.
Which is the best estimate of StartRoot 0. 96 EndRoot to the nearest hundredth? 0. 96 0. 97 0. 98 1. 0.
The best estimate for [tex]\sqrt{0.96}[/tex] is 0.98. The correct option is C. 0.98.
Given expression is [tex]\sqrt{0.96}[/tex].
We have to estimate the nearest hundredth value of [tex]\sqrt{0.96}[/tex].
Now we have to first calculate the square root of 0.96 after that we can estimate the nearest hundredth value of it.
For calculating the square root of 0.96 we have various method, but here we use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result.
Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Babylonian MethodStep 1:Divide the number (0.96) by 2 to get the first guess for the square root . First guess will be [tex]\frac{0.96}{2} =0.48[/tex]
Step 2:Divide 0.96 by the previous result, [tex]\frac{0.96}{0.48} = 2.[/tex]
Average the value of step 2) with that of step 1:
[tex]\frac{0+0.48}{2} = 1.24[/tex] (new guess).
Now,
[tex]error= new\ guess-previous \ value[/tex]
[tex]error= 1.24-0.48\\error=0.76[/tex]
0.76 > 0.01.
As error > accuracy, we repeat this step again.
Step 3:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.24} =0.7741935484[/tex]
Average the above value with that of step 2:
[tex]\frac{(0.7741935484 + 1.24)}{2} = 1.0070967742\ (new \ guess).[/tex]
[tex]Error = new \ guess - previous \ value \\Error=1.24-1.0070967742\\Error= 0.2329032258[/tex]
0.2329032258 > 0.01.
As error > accuracy, we repeat this step again.
Step 4:Divide 0.96 by the previous result.
[tex]\frac{0.96}{1.0070967742} = 0.9532351057.[/tex]
Average the above value with that of step 3:
[tex]\frac{(0.9532351057 + 1.0070967742)}{2} = 0.98016594\ (new\ guess).[/tex] [tex]Error = 1.0070967742 - 0.98016594 \\Error= 0.0269308342.[/tex]
0.0269308342 > 0.01.
As error > accuracy, we repeat the step again.
Step 5:Divide 0.96 by the previous result.
[tex]\frac{0.96}{0.98016594} = 0.9794259939.[/tex]
Average the above value with that of step 4:
[tex])\frac{(0.9794259939 + 0.98016594)}{2} = 0.979795967 (\ new \ guess).[/tex] [tex]Error = 0.98016594 - 0.979795967\\Error = 0.000369973.[/tex]
0.000369973 < 0.01.
As error < accuracy, we stop the iterations and use 0.979795967 as the square root of 0.96.
So, we can say that the square root of 0.96 is 0.979 with an error smaller than 0.01 (in fact the error is 0.000369973). this means that the first 3 decimal places are correct.
Since the value of the right side from the hundredth place is greater than 4 so for rounding off we add 1 to the hundredth place.
So the nearest hundredth value of [tex]\sqrt{0.96}[/tex] is 0.98.
Hence the correct option is C. 0.98.
For more details on square root follow the link:
https://brainly.com/question/1527773
8 less than the sum of u and 2
Answer:
(u+2)-8
Step-by-step explanation:
sum is addition, less than is subtraction
Shirt Circuit Graphic Tees has fixed expenses of $25,560 for the production of their
t-shirts. They have a variable expense of $4.50 for each t-shirt that they
produce, and they sell their t-shirts for $22.50 each.
How many t-shirts does Shirt Circuit Graphic Tees have to sell to reach their
breakeven point?
Answer:
Step-by-step explanation:
Cost price = fixed expenses + variable expenses× number of products (x)
Selling price = total cost price + profit
At break even point,
Profit = 0
Therefore, total selling price = total cost price
X(22.50)= 25560 + x(4.50)
(22.50 - 4.50)x = 25560
18x= 25560
X = 1420
hat equation represents this sentence?
7 less than a number is 16.
7−n=16
n−7=16
7=16−n
like you cut g
7=n−16
Answer:
2nd option
Step-by-step explanation:
let the number be n then 7 less than this number is n - 7 , so
n - 7 = 16
During crawfish season, Xavier sells crawfish for $62. 50 per sack and charges a $20. 00 delivery fee. Write an equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer.
The equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
Given:
cost per sack of crayfish = $62. 50
Delivery fee = $20. 00
y = Total cost
x = sacks of crawfish
The equation:
Total cost = Delivery fee + cost per sack of crayfish(sacks of crawfish)
y = 20 + 62.50x
Therefore, the equation that could be used to determine y, the total cost of x sacks of crawfish delivered to a customer is y = 20 + 62.50x
Learn more about equation:
https://brainly.com/question/4916384
can yallll help pls . ………
Step-by-step explanation:
so, what is the problem with the first one ?
you only need to put the specified values into the places of the variables and then simply calculate :
2×-5 + 8×6 = -10 + 48 = 38
that is how expressions, equations and functions work.
for the second, I am counting only the squares with their clear "majority" inside the line. any small parts of squares I ignore.
so,
first row : 3
second row : 5
third row : 5
fourth row : 6
fifth row : 7
sixth row : 7
seventh row : 4
eighth row : 2
total : 39
Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?
Answer:
Poor Alex, I know how they feel, I got a dog myself.
The amount of time between
11:41 pm to 12:09 am is
19 minutes (to 12 am, 60 minutes to next hour) + 9
which is 28 minutes for the first dog barking session
the second time is 35 minutes,
using same method as before.
adding the two separte barking sessions we get
35+28= 63 minutes
which is equivelant to 1 hour and 3 minutes.
In conclusion the dog barks for 1 hour and 3 minutes in total.
Which system of equations is equivalent to the following system? (5 points) 2x + 4y = 14 4x + y = 20
a.2x + 4y = 14
−16x − 4y = −80
b.2x + 4y = 14
−4x + y = −20
c.4x + 8y = −28
4x + y = 20
d.−2x − 4y = 14
4x + y = 20
Answer:
a.
Step-by-step explanation:
4x+y=20 multiplied by (-4) gives you -16x-4y=-80
10. Sarah wants to buy shirts for her school's
graduation party. A company will make the
shirts for $10.50 each plus a $50 setup
charge. If Sarah has $1000, which inequality
could she use to find the maximum number
of x shirts she can buy?
Answer:
1000 ≥ 10.50x + 50
Step-by-step explanation:
≥ is a greater than or equal to sign. We want to know how many she could possibly buy.
Help me please with this!…………………
Answer:
x = 2
Step-by-step explanation:
The two angles are congruent because they are alternative interior angles.
9x + 4 = 3x + 16
9x - 3x + 4 = 3x - 3x + 16
6x + 4 = 16
6x + 4 - 4 = 16 - 4
6x = 12
x = 2
Twelve is sixteen less than four times a number.
Angelo has to pack 7 books in boxes he can pack 7 books in each box how many boxes are need to pack all the books
1 box?
I'm confused whether you made a mistake writing the question or of this is what the actual question is like.
The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?
The volleyball team is having a carwash fundraiser. The cost of each car wash is $5. They sold some season ticket packages, which brought in $1640. The goal of the team is to make at least $2000 from the combined totals of the two fund-raisers. How many cars must they wash in order to meet the team goal of $2000?
Answer:
They need to wash 72 cars
Step-by-step explanation:
2000 - 1640 = 360
360/5 = 72
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each successive bounce is 80% of the previous bounce's height. What would be the height of the 12th bounce of the ball? Round to the nearest tenth (if necessary).
Answer:
0.3 feet
Step-by-step explanation:
2.75(0.8)^x
in which x is the number of bounces after the firts bouce
bouce 12 would mean x=11
2.75(0.8)^11 = 0.2
I need help lololololololololololololololol
Answer:
bestie so do i
Step-by-step explanation:
Find the gradient of the line segment between the points (-6,2) and (4,10).
Give your answer in its simplest form.
Answer:
3
Step-by-step explanation:
gradient/slope/m formula:-
(-6,2) (4,10).
m=(10-4)/(-4-6)
m=6/2
m=3
How do I find a solution in an equation
Answer:
How to find a solution in an equation:
(1) Substitute the number for the variable in your equation,
(2) Simplify the expressions on both sides of your equation and
(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Step-by-step explanation:
If any questions, please ask them below.
If you have no questions, please have a great rest of your day/night!
write 2³ in simplified form
Answer:
8
Step-by-step explanation:
2^1 = 2×1 = 2
2^2= 2×2= 4
2^3= 2×2×2= 8
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16-r> 8
Answer:
{5, 6, 7}
Step-by-step explanation:
The solution to the inequality is ...
16 -r > 8 . . . . . given
16 -8 > r . . . . . add r-8
8 > r . . . . . . . simplify
The values in the replacement set that are less than 8 are {5, 6, 7}.
Write a compound inequality that the graph could represent.
Answer:
k < -4 or k > 13
Step-by-step explanation:
Let's take a look at the graph, we can see that the arrows point towards both directions, both dots are open, meaning that we can only have < and > signs. We can see that the arrow pointing to the left contains numbers that are less than -4, so that part of the compound inequality must be k < -4. And on the other side, they are numbers that are greater than 13, so that part must be k > 13. Thus, the answer must be d.
Hopes this helps.
PLEASE ANSWER ASAP!! WORTH 20 POINTS
A cab company charges a $4 boarding rate in addition to its meter which is $1.50 for every mile. Write a linear equation which models this. Use the equation to determine the total fare for a trip that is 2 miles, 3 miles and 5 miles.
Answer:
y = 1.50x+4
if x = 2
y = 7
if x = 3
y = 8.5
if x = 5
y = 11.5
Step-by-step explanation:
every mile(x) add 1.50 dollars to 4 dollars
Lena was playing a card game. She placed the cards in 2 rows of 26 cards each. In which other way can Lena place all of the cards?
Answer:
4 raws of 13 each
Step-by-step explanation:
The total number of cards =2×26=52we can divide 52 by 4 which is 13hi pls help me solve this
Answer:
-23.33
Step-by-step explanation:
C = 5/9 (F - 32)
C = 5/9 (-10 - 32)
C = 5/9 (-42)
C = -23.33
PLEASE HELP!! 100 points!!!
The angle of depression from the top of a tower to a boulder on the ground is 22 . If
the tower is 70 feet high, how far from the base of the tower is the boulder? (Round
answer to the 1st decimal place.)
Answer:
173.3 feetStep-by-step explanation:
Let the required distance be x.
We have a right triangle with vertical leg of 70 feet and the acute angle opposite to this leg is 22 degrees.
Use trigonometry:
adjacent / opposite = cotangentx / 70 = cot 22 degx = 70 cot 22 degx = 173.3 feet (rounded)Three coffee and two muffins cost a total of 7 dollars. Two coffees and four muffins coast a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Step-by-step explanation:
Given,
3 coffee + 2 muffins = $7
and
2 coffees + 4 muffins = $8
let the coffee be x and muffins be y.
so now, we got
3x + 2y = $7 -----------(eqⁿ 1)
2x + 4y = $8 -------------(eqⁿ 2)
multiply (eqⁿ 1) by 2
we got,
2(3x + 2y = $7) = 6x + 4y = $14 -----(eqⁿ 3)
now, subtract (eqⁿ 2) from (eqⁿ 3)
we got,
(6x - 4y = $14) - (2x + 4y = $8)
we got,
4x = $6
x = 6/4 = $1.5
to get value of y put the value of x in eqⁿ2
we got,
→ 2(1.5) + 4y = $8
→ 3 + 4y = 8
→ 4y = 8 - 3 = 5
→ y = 5/4 = $1.25
hence,
value of one coffee = $1.5
value of one muffin = $1.25
Hope this answer helps you dear! take care!.
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer: y= (1/4)x
Step-by-step explanation: Best guess given screenshot, matched with desmos.