Answer:
40
Step-by-step explanation:
D. Evaluate each of the following. (5 points)
Let f(x) =x+1/x
1. f(1)
2. (f •f)(1)
3. (f•f•f)(1)
4. (f•f•f•f)(1)
5. (f•f•f•f•f)(1)
Problem 1
f(x) = x + 1/x
f(1) = 1 + 1/1
f(1) = 1 + 1
f(1) = 2
Answer: 2
============================================
Problem 2
(f o f)(1) = f( f(1) )
(f o f)(1) = f( 2 )
(f o f)(1) = 2 + 1/2
(f o f)(1) = 4/2 + 1/2
(f o f)(1) = 5/2
Answer: 5/2
============================================
Problem 3
(f o f o f)(1) = f( f(f(1)) )
(f o f o f)(1) = f( (f o f)(1) )
(f o f o f)(1) = f( 5/2 )
(f o f o f)(1) = 5/2 + 1/(5/2)
(f o f o f)(1) = 5/2 + 2/5
(f o f o f)(1) = 25/10 + 4/10
(f o f o f)(1) = 29/10
Answer: 29/10
============================================
Problem 4
(f o f o f o f)(1) = f( f(f(f(1)) )
(f o f o f o f)(1) = f( (f o f o f)(1) )
(f o f o f o f)(1) = f( 29/10 )
(f o f o f o f)(1) = 29/10 + 1/(29/10)
(f o f o f o f)(1) = 29/10 + 10/29
(f o f o f o f)(1) = 841/290 + 100/290
(f o f o f o f)(1) = 941/290
Answer: 941/290
============================================
Problem 5
(f o f o f o f o f)(1) = f( f(f(f(f(1)))) )
(f o f o f o f o f)(1) = f( (f o f o f o f)(1) )
(f o f o f o f o f)(1) = f( 941/290 )
(f o f o f o f o f)(1) = 941/290 + 1/(941/290)
(f o f o f o f o f)(1) = 941/290 + 290/941
(f o f o f o f o f)(1) = 885481/272890 + 84100/272890
(f o f o f o f o f)(1) = 969581/272890
Answer: 969581/272890
A function assigns the values. The value of (f•f•f•f•f)(1) is 969581/272890.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
1.)
The value of f(1) for the given function f(x) =x+1/x can be calculated as shown below,
f(x) = x + 1/x
f(1) = 1 + 1/1
= 1 + 1
= 2
2.)
(f · f)(1) = f( f(1) )
Since the value of f(1)=2, therefore, it can be rewritten as,
(f · f)(1) = f(2)
= 2 + 1/2
= 4/2 + 1/2
= 5/2
3.)
(f · f · f)(1) = f( f(f(1)) )
Since the value of f(f(1))=5/2, therefore, it can be rewritten as,
(f · f · f)(1) = f( (f·f)(1) )
= f( 5/2 )
= 5/2 + 1/(5/2)
= 5/2 + 2/5
= 25/10 + 4/10
= 29/10
4.)
(f · f · f · f)(1) = f( f(f(f(1)) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f · f · f · f)(1) = f( (f·f·f)(1) )
= f( 29/10 )
= 29/10 + 1/(29/10)
= 29/10 + 10/29
= 841/290 + 100/290
= 941/290
5.)
(f · f · f · f · f)(1) = f( f(f(f(f(1)))) )
Since the value of f(f(f(1)))=29/10, therefore, it can be rewritten as,
(f o f o f o f o f)(1) = f( (f·f·f·f)(1) )
= f( 941/290 )
= 941/290 + 1/(941/290)
= 941/290 + 290/941
= 885481/272890 + 84100/272890
= 969581/272890
Hence, the value of (f•f•f•f•f)(1) is 969581/272890.
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i need to fill in this table to show a proportional relationship.
Answer:
x 2 4 10 12 20 33
y 6 12 30 36 60 99
pleaseee helpp meee
Answer:no
Step-by-step explanation:hope it helps
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST
Answer:
Jahmya's Lunch cost more
Step-by-step explanation:
Stephen's Lunch
(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33Jahmya's Lunch
(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.
a) y = x + 1
b) y = - x -
c) y = - x - 3
d) y = x +
Answer:
c
Step-by-step explanation:
Just trust me ive had ths question before
What percent is equivalent to 2/3
66 1/3
66 3/5
66 2/3
66 7/10
Answer:
66 2/3
Step-by-step explanation:
(2/3)(100) = 66 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]
[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]
[tex]\mathbf{\dfrac{2}{3}}[/tex]
[tex]\mathbf{= 2\div3}[/tex]
[tex]\mathbf{= 0.66666667}[/tex]
[tex]\mathbf{= 0.66666667 \times 100}[/tex]
[tex]\mathbf{= 66.6666667\%}[/tex]
[tex]\mathbf{\approx 66.67\%}[/tex]
[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\mathbf{66 \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]
[tex]\mathbf{= \dfrac{199}{3}}[/tex]
[tex]\mathbf{= 199\div3}[/tex]
[tex]\mathbf{= 66.3333333}[/tex]
[tex]\mathbf{= 66.3333333 \times100}[/tex]
[tex]\mathbf{= 6,633.33333\%}[/tex]
[tex]\mathbf{\approx 6,633.33\%}[/tex]
[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\mathbf{66 \dfrac{3}{5}}[/tex]
[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{333}{5}}[/tex]
[tex]\mathbf{= 333\div5}[/tex]
[tex]\mathbf{= 66.6}[/tex]
[tex]\mathbf{= 66.6 \times 100}[/tex]
[tex]\mathbf{= 6,660}[/tex]
[tex]\mathbf{\approx 6,660\%}[/tex]
[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]
[tex]\mathbf{= \dfrac{200}{3}}[/tex]
[tex]\mathbf{= 200\div3}[/tex]
[tex]\mathbf{= 66.6666667}[/tex]
[tex]\mathbf{= 66.6666667\times100}[/tex]
[tex]\mathbf{= 6,666.66667}[/tex]
[tex]\mathbf{\approx 6,666.67\%}[/tex]
[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\mathbf{66\dfrac{7}{10}}[/tex]
[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]
[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]
[tex]\mathbf{= \dfrac{667}{10}}[/tex]
[tex]\mathbf{= 667\div10}[/tex]
[tex]\mathbf{= 6.67}[/tex]
[tex]\mathbf{= 6.67\times100}[/tex]
[tex]\mathbf{= 6,670}[/tex]
[tex]\mathbf{\approx 6,670\%}[/tex]
[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]
[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]
[tex]\huge\textbf{The closest answer was:}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Evaluate the function. f(x) = -22 + 5x – 2
Find f (-4)
Mickey needs $80 to buy a fish tank for her fish. So far he shas been able to save $8. She is going to be cleaning up this weekend at the park where he makes $9 per hour. Which inequality shows the minimum number of hours h , that Mickey can work at the park to earn enough to buy the fish tank for her fish? (5 points) a 8 + 9n ≤ 80, so n ≤ 8 b 8 + 9n ≥ 80, so n ≥ 8 c 9n ≥ 80 + 8, so n ≥ 9.8 d 9n ≤ 80 + 8, so n ≤ 9.8
Answer:
.
Step-by-step explanation:
which line is parallel to y=1/2x+5?
Answer:
the first one (y = 1/2x - 7)
Step-by-step explanation:
If the lines are parallel, the slope has to be the same.
there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall
Answer:
There are 18 pictures on the wall
Step-by-step explanation:
6 x 3 = 18
there is no way that simple multiplication is college level.
May I have brainliest please? :)
need help with simplifying.
Answer:
Step-by-step explanation:
4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14
prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?
9514 1404 393
Answer:
24 cups
Step-by-step explanation:
One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...
4 × 6 cups = 24 cups . . . combined
Let f be a function such that f(2) ≤ f(x) for all values of x in the interval (0, 3). Does f(2) represent a relative minimum or a relative maximum?
Answer: f(2) is a relative minimum
This is because f(2) is the lowest y output for any given y = f(x) output on the interval [tex]0 < x < 3[/tex] which is what the interval notation (0,3) indicates.
Draw out a "parabolic" like shape where the lowest point occurs at (2, f(2)), where f(2) is unknown, but we at least know that x = 2. I put "parabolic" in quotes because it may not be a true parabola, but it looks like one. This lowest point only applies for the neighbor hood [tex]0 < x < 3[/tex].
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Answer:
ŷ = 0.1197X + 9.2741
11.9 seconds
Step-by-step explanation:
Given the data:
Average number of leg press Repetition and average 40 yard dash line
Leg press rep (x) : 12 32 7 26 28 15 1
40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Using the linear regression calculator :
The equation of the line of best fit obtained is :
y = 0.1197X + 9.2741
Where;
x = leg press (predictor variable)
y = 40 yard dash (predicted variable)
Slope = 0.1197
Intercept = 9.2741
How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
22 leg press Repetitions = x
From the line of best fit equation :
y = 0.1197(22) + 9.2741
y = 11.9075
y = 11.9 seconds
The lines of best fit is the trend line of the dataset.
The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]
[tex]\mathbf{y =2.64 + 9.274}[/tex]
[tex]\mathbf{y =11.914}[/tex]
Approximate to the nearest tenth
[tex]\mathbf{y =11.9}[/tex]
Hence, the time for 22 leg-press reps is 11.9 seconds
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Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
The maximum amount of apples she could buy is 7
Step-by-step explanation:
3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.
If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct
Answer:
Step-by-step explanation:
U right it’s not any of them and if u single I’m here
Answer:
B.
Step-by-step explanation:
AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:
[tex]AD=AB+BC+CD[/tex]
Since AB=CD, we can substitute:
[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]
We know that CD is 9 and BC is 5x. AD is 53. So, substitute:
[tex]53=2(9)+5x[/tex]
Solve for x:
[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]
The value of x is 7.
Hence, our answer is B.
Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?
Answer:
hope this helps :)
Step-by-step explanation:
Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.
So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour
Jazmeen can walk 1.25 miles in one hour.
PLEASE HELP! ILL GIVE BRAINLEST!
Question 1(Multiple Choice Worth 5 points)
(04.06A HC)
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,180 and 4,240 and 5,300 and 6,360. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.
How much more would the value of y be in the table than its value on the graph when x = 11?
110
150
215
275
Answer:
275
Step-by-step explanation:
calculator
Marie has a recipe that calls for 2 cups of flour for 3 dozen cookies. How much flour would she
need to make 60 cookies?
A 4 cups
B 3 3/4 cups
C 3 1/4 cups
D 3 1/3 cups
Which describes the transformation shown below
A
B
C
D
Answer:
i think the answer is a to be honest
Step-by-step explanation:
3. A solid cylinder has a radius of 6cm and a height of 20cm.
a. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.
b. The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.
Answer:
a) 2260 cm³
b) 3390 grams
Step-by-step explanation:
3.
a)The radius of the solid cylinder = 6cm
The height of the cylinder is =20 cm
The volume = π*r²*h
The volume = 3.14 * 6²*20 =2260 cm³
b) Density of the material = 1.5 g/cm³
Volume of the cylinder = 2261 cm³
Mass of the cylinder = Density * Volume
Mass of the cylinder = 1.5 * 2261 = 3390 grams
Draco invests $5000. Approximately how long will it take for the investment to double if the rate is 10% compounded annually?
Answer:
I'm in 6th grade and I think it is 500
For the investment to double if the rate is 10% compounded annually,
it will take about 7 years and 3 months.
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for.
Given:
Draco invests $5000.
Draco wants his investment to double.
That means, accrued amount = $10000
Interest rate = 10%
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 per year,
Then, by using the formula,
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1/1)] )
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1)] )
t = 7.273 years
t = about 7 years 3 months
Therefore, the required time is about 7 years 3 months.
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Is this right? PLEASE HELP
Answer:
I got
2x^4u^4-6+9x^3u^2/ux^2
Step-by-step explanation:
Photo wrong only at the end u^2
What is the value of the expression shown below?
Please use the photo for whole question, it shows the answers.
Answer:
It should be
Step-by-step explanation:
B.23 1/43. Estimate the quotient. Round the divisor first. 482 ÷61=
Answer:
8.033
Step-by-step explanation:
Determine the x- and y- intercepts for the graph defined by the given equation.
y = x + 8
a. x-intercept is (0,8)
c. x-intercept is (-8, 0)
y-intercept is (-8, 0)
y-intercept is (0,8)
b. x-intercept is (0, -8)
d. x-intercept is (8,0)
y-intercept is (8,0)
y-intercept is (0, -8)
Answer:
y-intercept is (0,8)
c. x-intercept is (-8, 0)
Step-by-step explanation:
y=x+8
x=0
y+0=8
y=8
y=0
y=x+8
0=x+8
x=-8
Ray EF is the bisector of angle AET. Find the measure of angle FEA.* 70° E A Your answer
Answer:
<FEA is 70 degrees. It is already given.
Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it as credit rather than as a debit. How will her check register compare to her monthly bank statement when she receives it
Answer:
C. The balance in her check register will be $116 over the balance on her bank statement.