Using the definition of inverse functions we will get:
f⁻¹(f(576)) = 576f⁻¹(-7) + f(-7) =13How to find the given values?Remember that by the definition of inverse functions, we have 2 rules.
if f(x) = y, then f⁻¹(y) = x
And:
f( f⁻¹(x)) = x
f⁻¹(f(x)) = x
Using the second one, we can solve the first part.
f⁻¹(f(576)) = 576
Now for the second one, in the table we can see that:
f(-7) = 7
and:
f(6) = -7, then f⁻¹(-7) = 6
Then we can write:
f⁻¹(-7) + f(-7) = 7 + 6 = 13
Learn more about inverse functions at:
https://brainly.com/question/3831584
#SPJ1
Please help me
Excellent help needed
Answer:
All of the following have the same solution except b + 2 = 8
Answer:
the answer is D.
Step-by-step explanation:
A. \(50 = 5 m = 10=m\)
B. \(x-6=4 = x=10\)
C. \(w/5=2 = w=15\)
D. \(b+2=8 = b=6\)
hope this helps and feel free to give brainiest
1) a child puts $1 into a piggy bank. one week later he puts $1.25. two weeks later he puts $1.50 in the bank and so on. how much money does he put in the bank on the 25th week?
omg save me and explain
Answer:kkkkkkk
Step-by-step explanation:
Please help I’ll appreciate it!!
The range, mean, and median of the given data set are equal to 38, 20, and 5 respectively.
How to calculate the range of a data set?Data set = {2, 7, 15, 3, 29, 40, 6, 28, 3}
Mathematically, the range of a data set can be calculated by using this formula;
Range = Highest number - Lowest number
Range = 40 - 2
Range = 38.
How to calculate the mean of a data set?Data set = {12, 34, 31, 8, 15, 20}
F(x) = 12 + 34 + 31 + 8 + 15 + 20 = 120
Mathematically, the mean of a data set can be calculated by using this formula:
Mean = F(x)/n
Mean = 120/6
Mean = 20.
How to calculate the mean of a data set?Data set = {2, 4, 5, 7, 10}
Median = 5.
How to calculate Curvy's chances?The total number of shots = 18 × 3 = 54 shots.
P(11) = 100 - P(T)
P(11) = 100 - 54
P(11) = 56%.
Read more on range here: https://brainly.com/question/9393969
#SPJ1
each triangle has one dot more on each side than the previous one. how many dots in total are used in the triangle with 358 dots on each side?
The triangle with 358 dots on each side will have a total of 128,164 dots.
Let's analyze the pattern to determine the relationship between the number of dots on each side of the triangle and the total number of dots.
If we examine a few examples, we can observe the following:
- A triangle with 1 dot on each side will have a total of 1 dot.
- A triangle with 2 dots on each side will have a total of 1 + 2 + 1 = 4 dots.
- A triangle with 3 dots on each side will have a total of 1 + 2 + 3 + 2 + 1 = 9 dots.
From these examples, we can see that the total number of dots in a triangle is the sum of consecutive odd numbers. The sum of the first n odd numbers is given by the formula n^2.
To determine the number of dots in the triangle with 358 dots on each side, we need to calculate the sum of the first 358 odd numbers. Applying the formula, we get:
Y = 128,164
Therefore, the triangle with 358 dots on each side will have a total of Y dots, which is equal to 128,164.
To learn more about triangle Click Here: brainly.com/question/2773823
#SPJ11
can someone help me with the first one please!!!!
The perimeter of the trapezoid ABFE and the prove that the triangle ΔABC is an isosceles are as follows;
First question;
The perimeter of the trapezoid ABFE is 100 units
Second question;
The sides AB and BC in the triangle ΔABC are congruent, therefore, triangle ΔABC is an isosceles triangle
What is an isosceles triangle?An isosceles triangle is a triangle that has two sides that have the same lengths.
The specified parameters are;
The segment joining the midpoints of the side \(\overline{AC}\) and \(\overline{BC}\) of the equilateral triangle ΔABC = EF
EF = 2·x + 8 and AB = 7·x - 2
The midsegment theorem applied to the triangle ΔABC indicates that we get;
EF = (1/2) × AB
Therefore; 2·x + 8 = (1/2) × (7·x - 2)
(1/2) × (7·x - 2) = 2·x + 8
7·x - 2 = 2 × (2·x + 8)
7·x - 2 = 4·x + 16
7·x - 4·x = 16 + 2 = 18
3·x = 18
x = 18/3 = 6
x = 6
EF = 2·x + 8
Therefore; EF = 2 × 6 + 8 = 20
EF = 20
AB = 7·x - 2
Therefore; AB = 7 × 6 - 2 = 40
AB = 40
AB = AC = BC (Definition of an equilateral triangle)
Therefore;
AC = BC = AB = 40 (symmetric property)
The midpoints E and F, indicates that we get;
AE = CE and BF = CF
AC = AE + CE and BC = BF + CF (segment addition property)
Therefore; AC = AE + AE = 2 × AE
40 = 2 × AE
AE = 40/2 = 20
BC = 2 × BF
40 = 2 × BF
BF = 40/2 = 20
The perimeter of the trapezoid ABFE, P = AB + BF + EF + AE
P = 40 + 20 + 20 + 20 = 100
The perimeter of the trapezoid ABFE = 100 unitsSecond question
The coordinates of the vertices of the triangle are;
A(1, 2), B(-5, 3), and C(-6, -3)
The lengths of the sides of the triangle found using the distance formula are;
AB = √((-5 - 1)² + (3 - 2)²) = √(37)
BC = √((-6 - (-5))² + (-3 - 3)²) = √(37)
AC = √((-6 - 1)² + (-3 - 2)²) = √(74)
The lengths of the sides AB and BC in the triangle ΔABC are the same, therefore, the triangle ΔABC is an isosceles triangle.
Learn more on isosceles triangles here: https://brainly.com/question/2263856
#SPJ1
A store sells a pound of bananas for $0.40 and a pound of cabbage for $0.56. Can you buy more pounds of bananas or cabbage with $7? How many more pounds?
Answer:
The bananas will cost $1.38.
Step-by-step explanation:
Explanation:
Multiply the number of pounds by the price per pound.
2.51lb×$0.55lb=$1.38
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ1
Simplify the expression 2k+10k-(2k+3)+13
A taxi ride costs $3 plus $2.50 per mile, m. Write and graph an equation that represents the total cost, c, (in dollars) of a taxi ride.
Answer:
$5.50
Step-by-step explanation:
Add 3.00 plus 2.50.Which is 5.50.
Solve the equation. Check the solution.
8- 2x - 5- 13x = 6
Answer:
see below
Step-by-step explanation:
8- 2x - 5- 13x = 6
Combine like terms
-15x+3=6
Subtract 3 from each side
-15x+3-3=6-3
-15x = 3
Divide each side by -15
x = 3/-15
x = -1/5
Check
8 - 2(-1/5) -5 -13(-1/5) = 6
8 + 2/5 -5 +13/5 = 6
3 + 15/5 = 6
3+3=6
6=6
A regular Hexagon with side length = 9.6 meters. What is the total area of the shape? Round to two decimal places at the end of tour calculation.
Answer:
A= 239.328 meters²
Step-by-step explanation:
A=n(b)(h)/2
n=6
b=9.6
h=8.31
in what method of periodization might an athlete perform five sets of five repetitions at 85% of 1rm on the first day of the week, five sets of fourteen repetitions at 62.5% of 1rm on the next training day, and five sets of two repetitions at 90% of 1rm on the last training day of the week? group of answer choices traditional periodization undulating periodization or nonlinear periodization linear periodization
The method of periodization that an athlete performs is traditional periodization method.
Given,
An athlete perform five sets of five repetitions at 90% of 1rm on the first day of the week, five sets of fourteen repetitions at 85% of 1rm on the next training day, and five sets of two repetitions at 62.5%of 1rm on the last training day of the week;
Here,
The example above, where the percentage of one-repetition maximum (1RM) decreases as the training day progresses, is essentially a traditional periodization method.
As a result, during the course of the training cycle, the athletes' completed work gradually grows. As a result, as the load increases over time, there is a corresponding decrease in volume.
Learn more about method of periodization here;
https://brainly.com/question/16038456
#SPJ4
Select the correct answer.
Find the solution(s) for x in the equation below.
x(x - 1) = 42
А. x = -7; x = -6
B. x = 7; x = 6
C. x = 7; x = -6
D. x = 6
Answer:
7 and -6 (corresponding to Answer C)
Step-by-step explanation:
Solve x(x - 1) = 42 for x.
To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:
x^2 - x - 42 = 0
Factoring yields (x - 7)(x + 6) = 0,
leadng to roots 7 and -6 (corresponding to Answer C)
this is for edmentum Select the correct answer from each drop-down menu.
Consider right triangle ABC.
A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
sin(A) =
=
cos(A) =
=
Sin(A) = \(\frac{9}{41}\) and Cos(A) = \(\frac{40}{41}\).
Given that, a triangle ABC is a right-angled triangle with a right angle at B, Base AB has length labeled 40 units, Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
Then we need to find the value of sin(A) and cos(A).
To find the value of sin(A), we use the formula
\(sin(A)= \frac{opposite}{hypotenuse}\)
The value of opposite and hypotenuse are BC and AC respectively.
So, \(sin(A) = \frac{BC}{AC}\) \(= \frac{9}{41}\)
Thus the value of sin(A) is \(\frac{9}{41}\).
To find the value of cos(A), we use the formula
\(cos(A)= \frac{adjacent}{hypotenuse}\)
The value of adjacent and hypotenuse are AB and AC respectively.
So, \(cos(A) = \frac{AB}{AC}\) \(= \frac{40}{41}\)
Thus the value of cos(A) is \(\frac{40}{41}\).
So, the answers are:
Sin(A) = \(\frac{9}{41}\) Cos(A) = \(\frac{40}{41}\).
For such more questions on Sin
https://brainly.com/question/20367642
#SPJ8
r^3=47.77
need help hurry
Answer:
\(r = 3.63 (approximately)\)
Step-by-step explanation:
\(r^{3} = 47.77\\\)
\(r = \sqrt[3]{47.77} \\r = 3.63...\)
May I please receive help
Answer:
1. 120583
2. 0248182
Step-by-step explanation:
According to the one you gave
What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left
The vertical lines on each side of the x mean it is the absolute value of x.
Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.
The answer is B.
There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.
Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.
To know more about functions follow
https://brainly.com/question/2833285
#SPJ2
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
Please help this work is some BS☹️
Answer: Ray AC is correct
This is because ray AE points in the same direction along ray AC. Put another way, points C and E are on the same line as A. So relabeling from "ray AE" to "ray AC" does not change the ray itself.
Keep in mind that order is important. So saying "ray AE" is completely different from "ray EA" due to the fact that the first letter is the endpoint while the second letter is where the ray goes on forever. So we can think of starting at point A and going in the direction of E to get ray AE, or going in the direction of C to get ray AC, and we're talking about the same ray.
1.75k + 1.25 < 3 help
Answer:
1.75k + 1.25 < 3.
Corrected:
1.75k + 1.25 < 3.
where's the construction of what todo
Which of the following statements best describes the value of the expression 6x + 7 when x = 5?
A. The result is a fraction.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.
Answer:
The answwe is B.
Step-by-step explanation:
When you substitute x = 5 into the expression, ypu will get 37.
Prime number is a number that has only 2 factors, one and itself.
So 37 is a prime number.
Answer: is b
Step-by-step explanation:
hope that help
the degrees of freedom for a data table with 10 rows and 11 columns is?
The degrees of freedom for a data table can be calculated using the formula:
Degrees of Freedom = (Number of Rows - 1) * (Number of Columns - 1)
In this case, the data table has 10 rows and 11 columns. Plugging these values into the formula:
Degrees of Freedom = (10 - 1) * (11 - 1) = 9 * 10 = 90
Therefore, the degrees of freedom for the given data table is 90.
To know more about freedom visit-
brainly.com/question/31650342
#SPJ11
will make you BRAINLIEST please help me please
Answer:
You have to substitute the x-values into the function :
\(f(x) = {11}^{x} \)
\(f( - 2) = {11}^{ - 2} = \frac{1}{121} \)
\(f( - 1) = {11}^{ - 1} = \frac{1}{11} \)
\(f(0) = {11}^{0} = 1\)
\(f(1) = {11}^{1} = 11\)
\(f(2) = {11}^{2} = 121\)
Refer to the Journal of behavioural decision making (Jan. 2007) study of how guilty feelings impact decisions, Excersise 3.59 (p.142). Recall that 57 students were assigned to a guilty state through a reading/writing task. Immediately after the task, the students were presented with decision problem where the stated option has predominantly negative features. Of those 57 students ,45 choose the stated option. Suppose 10 of 57 guilty state students are selected at random. Define x as the number in the sample of 10 who chose the stated option.
A) Find p(x=5)
(B) Find p(x=8)
(C) What is the expected value (mean) of x?
A) The value of p(x=5) is 0.2017
B) The value of p(x=8) is 0.1167
C) The expected value (mean) of x7.89.
A) We are required to find P(x = 5).P(x = 5) is the probability that 5 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 5) = nCx px q(n - x)
where n = 10, x = 5, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 5) = (10C5) (0.789)5 (0.211)5= 0.2017 (rounded to four decimal places)
B) We are required to find P(x = 8).P(x = 8) is the probability that 8 out of the 10 students selected chose the stated option.
Using the binomial distribution formula, we have
P(x = 8) = nCx px q(n - x)
where n = 10, x = 8, p = 45/57 = 0.789, and q = 1 - p = 1 - 0.789 = 0.211
Thus, P(x = 8) = (10C8) (0.789)8 (0.211)2= 0.1167 (rounded to four decimal places)
C) We are required to find the expected value (mean) of x.
Using the binomial distribution formula, we have
E(x) = np
where n = 10, and p = 45/57 = 0.789
Thus, E(x) = 10 × 0.789= 7.89 (rounded to two decimal places)
Therefore, the expected value (mean) of x is 7.89.
Learn more about probability at:
https://brainly.com/question/32637936
#SPJ11
can you please solve this will mark brainlist
Answer:
your answer is C 1 = 5
Step-by-step explanation:
Which of the following best describes ABC-ADEF?
OA. AABC is similar to A DEF.
OB. AABC is congruent to ADEF.
OC. AABC is a dilation of ADEF.
OD. AABC is a reflection of A DEF.
The transformation is described as follows:
A. Triangle ABC is similar to triangle DEF.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.For this problem, we have that triangle DEF is a dilation of triangle ABC, as it is an enlargement, hence the side lengths are proportional, while the angle measures remain constant, hence the triangles are similar.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
Which of the following has a slope of 3 and y-intercept of 4
Answer:
see attached
Step-by-step explanation:
The slope is the ratio of the change in y to the change in x. The y-intercept is the function value when x=0.
__
A table demonstrates a y-intercept of 4 if the y-value for x=0 is 4. It demonstrates a slope of 3 if the y-value increases by 3 when the x-value increases by 1.
A graph demonstrates a y-intercept of 4 when the line crosses the y-axis at y=4. It demonstrates a slope of 3 if it rises 3 grid squares for each grid square it runs to the right.
The table and graph indicated in the attachment both show a slope of 3 and a y-intercept of 4.
A glass vase is shaped like a cylinder and has a radius of 2.5 inches. The vase holds 170 cubic inches of water. How tall is the vase? Use 3.14 for pi. Round your answer to the nearest hundredth.
A.8.66 inches
B. 9.78 inches
C. 10.35 inches
D. 12.50 inches
Answer: The answer would be 8.66 when rounded to the nearest hundredth.
Step-by-step explanation:
HELP ASAP A certain breand of nuts costs $3.20 for 16 ounces what is the unit rate
round to nearest hundredth show me how your raio should be set up
Answer:
$0.20 : 1 ounce
The nuts cost 20 cents per ounce.
Step-by-step explanation:
First, set up the ratio
$3.20 : 16 ounces [cost : weight]
Next, to find the price per ounce, divide each side by 16
$3.20 / 16: 16 ounces / 16
$0.20 : 1 ounce
six subtracted from a number is at most 52. write the inequality that represents the sentence
Answer:
\(X - 6 \leq\ 52\)
Step-by-step explanation:
Six subtracted from a number is written as a number (x, or any other variable) - 6. At most means the maximum amount it could be is 52, so a greater than or less than sign wouldn’t do. It would have to be a less than or equal to sign because you are saying AT MOST. Lastly, there is a 52 at the end to represent what the expression would equal! Hope it helps! (: