Answer:
no
Step-by-step explanation:
f(g(x))= x if they are inverses
(x)=1/3x
g(x)= 1/3x
f(g(x)) = 1/3 (g(x) = 1/3 (1/3x) = 1/9x
This is not x so they are not inverse functions
Apples were selling for $.26 a pound Jessica spent $3.77 on apples how many pounds of apples did Jessica buy
Answer:
14.5 pounds of apples.
Step-by-step explanation:
$3.77 ÷ $.26 = 14.5
Apples = 14.5 pounds
Hope this helps! :)
I need to find for both f(-1) and f(1) it’s
Answer:
f(-1) = -8
f(1) = -12
Write and solve the equation and then check your answer. A number increased by twenty-six is forty-two. Which statements are correct? Check all that apply. This is an addition problem. This is a subtraction problem The correct equation is s + 26 = 42. The correct equation is s – 26 = 42. To solve the equation, add 26 to both sides. To solve the equation, subtract 26 from both sides.
Answer:
equation= s+26=42
to solve,subtract 26 from both sides
Step-by-step explanation:
lets say the number is S
to increase is to add
S+26=42
solution
S+26(-26)=42-26
S=16
Answer:
A: This is an addition problem.C: The correct equation is s + 26 = 42. F: To solve the equation, subtract 26 from both sides.Explanation: Correct on Edg 2020.
Express the confidence interval 0.555 less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]
Step-by-step explanation:
From the question we are told that
The confidence interval interval is [tex]0.555 < p < 0.777[/tex]
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
[tex]\r p = \frac{0.555 + 0.777}{2}[/tex]
[tex]\r p =0.666[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{1}{2} * K[/tex]
Where K is the length of the confidence interval which iis mathematically represented as
[tex]K = 0.777 -0.555[/tex]
[tex]K = 0.222[/tex]
Hence
[tex]ME = \frac{1}{2} * 0.222[/tex]
[tex]ME = 0.111[/tex]
So the confidence interval can now be represented as
[tex]\r p \pm E = 0.666 \pm 0.111[/tex]
3/(2x-1)+4=6x/(2x-1)
X=?
what is 4 to the square root of 2
Answer:
7.10299
Step-by-step explanation:
[tex]4^{\sqrt{2} }[/tex] is best evaluated in a calc.
Flying against the wind, a jet travels 3000 miles in 4 hours. Flying with the wind, the same jet travels 7500 miles in 6 hours. What is the rate of the jet in still air and what is the rate of the wind? g
Answer:
The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
Step-by-step explanation:
Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.
In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
Suppose Melissa borrows $3500 at an interest rate of 14% compounded each year,
Assume that no payments are made on the loan.
Do not do any rounding.
(a) Find the amount owed at the end of 1 year
(b) Find the amount owed at the end of 2 years.
PLEASE HELPPP!!!
which of the following is the correct factorization of the trinomial below?
-7x^2 + 5x + 12
a. 7(x+1) (-x + 12)
b. -1 (7x - 12) (x+1)
c. (-7x + 12) (x - 1)
d. -7 (x - 6) (x+1)
Answer:
The answer is option B.
Hope this helps you
Answer:
The answer is B
Step-by-step explanation:
Pls help me I really need help
Answer:
26 - 7(n-1)
Step-by-step explanation:
subtract n times 7 from the start value.
But if we want to call the first term n=1, we have to subtract 1 from n.
Use the Pythagorean theorem to calculate the diagonal of a TV is it's length is 36 inches and its width is 15 inches. Round your final answer to one decimal place.
Answer:
39 inches
Step-by-step explanation:
sqrt(15^2 + 36^2) = 39
The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.10. If there are ten questions and questions are marked independently, what is the probability that no errors are made
Answer:
0.9^10
Step-by-step explanation:
The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9
There are 10 questions that are independent from each other .
The probability to be answered correctly is 0.9 each. So the probability to answer correctly to all of them is
P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10
A labourer is paid Rs per hr for an
8- hr day and1/2 times the rate for
each hour in excess of 8 hrs in a
sigle day the received
Rs.80 for a single days work, how
long did he work on that day?
Complete question is;
A labourer is paid rs. 8 per hour for an 8 hour day and ½ times that rate for each hour in excess of 8 hours in a single day. if the labourer received rs. 80 for a single day's work, how long did he work on that day?
Answer:
Total working time for the day = 12 hours
Step-by-step explanation:
Money paid to the labourer for initial 8 hrs of work = 8 × 8 = rs. 64.
Now, we are told that he receives rs. 80 in total for that day. And that he receives ½ times the initial rate for each extra hour after the initial 8 hour period.
Thus;
½ × 8 × y = (80 - 64)
Where y is the duration of extra hours.
So;
4y = 16
y = 16/4 hours
y = 4 hours
Now, since extra hours = 4 hours and normal working hours = 8 hours.
Then, total working time for that day = 8 + 4 = 12 hours
Tagall
er travels at an average speed of 64 miles per hour. How many miles does it travel in 4 hours and 45 minutes?
Answer:
304 miles
Step-by-step explanation:
Distance = rate times time
changing 4 hours 45 minutes to decimal form
4 45/60 = 4.75
D = 64 mph * 4.75
=304 miles
A baseball card collector buys and opens 360 packs of 1989 Fleer baseball cards. He is told that there is a 2.3% chance of anyone pack containing the coveted Billy Ripken error card. Find the mean and standard deviation of the random variable "number of Billy Ripken error cards ound", where n-360
Answer:
Mean: 8.28
Standard deviation: 2.84
Step-by-step explanation:
This random variable "number of Billy Ripken error cards found" can be described by the binomial distribution, with sample size n=360 (number of packs) and probability of success p=0.023 (probabillity of a pack containing the coveted Billy Ripken error card).
Then, the mean and standard deviation are calculate as for the binomial distribution:
[tex]\mu=np=360\cdot 0.023=8.28\\\\\sigma=\sqrt{np(1-p)}=\sqrt{360\cdot 0.023\cdot 0.977}=\sqrt{8.08956}\approx2.84[/tex]
PLEASE ANSWER U NEED HELP!! determine which numbers The equations need to be multiplied by to form opposite terms of the y variable. 3x - 1/4y equals 15 2/3x - 1/6y equals 6 which number should be the first equation be multiplied by? which number should the second equation be multiplied by?
Answer:
4 -6
Step-by-step explanation:
have a great day!
Multiply the first equation by 2/3 and the second equation by -1.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
3x - (1/4)y = 15
(2/3)x - (1/6)y = 6
Multiply the equation 1 by 2/3, then we have
(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15
x - (1/6)y = 10
Multiply the equation 2 by -1, then we have
(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6
- (2/3) x + (1/6)y = - 6
Multiply the first equation by 2/3 and the second equation by -1.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ3
A grocery store estimates that customers arrive at the rate of 15 per hour. The cashier can serve customers at a rate 20 per hour. Calculate the average number of customers in a line. Group of answer choices
Answer:
The average number of customers in a line = 2.25
Step-by-step explanation:
We are given;
Mean arrival rate;a = 15 customers per hour
Mean service rate;s = 20 customers per hour
Now, we want to find the average number of customers in the line. It is given by the formula;
N_q = a(W_q) = a²/(s(s - a)
Plugging in relevant values, we have;
N_q = 15²/(20(20 - 15))
N_q = 225/100
N_q = 2.25
which linear is represented by the graph?
Find the inverse of the following function: f(x) = 8√x for x ≥ 0
Answer:
Step-by-step explanation:
Rewrite the function f(x) = 8√x as y = 8√x.
To find the inverse function, do the following:
1) Interchange x and y. We get x = 8√y
x x^2
2) Solve this result for y: (x/8) = √y => y = ( -------- )^2, or y = ---------
8 64
how do you graph y=–7/3x+2. PLEASE HELP ME
Graph the line using the slope and y-intercept, or two points.
Slope: -7/3
y-intercept: 2
Please mark me as brainliest if possible. Stay safe and God bless you!!
<3
- Eli
What is the solution to the inequality below?
x < 5
A. x< 25 or x>-25
B. x < 25 or x>0
O C. x< 25 and x > 0
O D. x < 25 and x>-25
Answer:
C. x < 25 and x ≥ 0
Step-by-step explanation:
Fastest and easiest way to do this is to graph the inequality and find out the lines.
What is the value of x the triangle? PLS HELP
-- This is a right triangle. So you KNOW that
(one leg)² + (other leg)² = (hypotenuse)²
-- Also, since the acute angles are equal, the legs must be equal ... both x .
-- Plugging into the formula:
x² + x² = (4)²
2x² = (4)²
2x² = 16
x² = 8
√x² = √8
x = √8
x = √(4 · 2)
x = √4 · √2
x = 2 · √2
(That's choice D)
What expression has the same meaning as 3 5/4?
Answer:
C)
Step-by-step explanation:
The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.
:)
If $\sqrt{5+n}=7$, then what is the value of $n$?
Answer:
44
Step-by-step explanation:
We can solve the equation by simplifying it.
[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.
[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.
[tex]n = 44[/tex].
Hope this helped!
Answer:
44
Step-by-step explanation:
[tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]
I NEED HELP PLEASE, THANKS! :)
Answer:
2444
Step-by-step explanation:
The total cost is the integral of the marginal cost.
[tex]\displaystyle C=\int_{144}^{625}{\dfrac{94}{\sqrt{x}}}\,dx=\left. 2\cdot 94\sqrt{x}\right|_{144}^{625}=188(25 -12)=\boxed{2444}[/tex]
The total cost of producing units 144 through 625 is 2444.
_____
If all you need is a number, a graphing calculator can give you that.
9q + –23 = –77 q = _______
Answer:
q = -6
Step-by-step explanation:
given:
9q + (–23) = –77 (add 23 to both sides)
9q = -77 + 23
9q = -54 (divide both sides by 9)
q = (-54)/9
q = -6
ok first person to answer my question will get marked as the brainliest answer and i will give you a thanks and a like. Each square below represents one whole. A square divided in 25 equal parts, all 25 of which are shaded Another square divided in 25 equal parts, 13 of which are shaded What percent is represented by the shaded area?
Answer:
76%
Step-by-step explanation:
First, we need to see how many total squares (parts) there are. There are 50.
Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.
Our fraction is 38/50, which is 76%.
Hope this helped!
Answer: 76 percent
Step-by-step explanation:
We have two squares divided into exactly 25 indentical parts
In the first one 25 squares are shaded wich means 25/25
The second one we only 13 shaded square wich means 13/25
So in total we have 50 squares with 38 shaded ones
Wich means 38/50
38/50= 0.76
Multiply bu 100 to get the percentage wich 76 percent
www.g "A political discussion group consists of 6 Democrats and 10 Republicans. Three members are selected to attend a conference. Find the probability that the group will consist of all Republicans."
Answer:
[tex]Probability = \frac{3\\}{14}[/tex]
Step-by-step explanation:
Given
Republicans = 10
Democrats = 6
Total = Republicans + Democrats = 10 + 6 = 16
Selection = 3
Required
Probability that all selected members are Republicans
This implies that all selected members are republicans and none are republicans
This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)
First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;
[tex]^{10}C_3 = \frac{10!}{(10-3)!3!}[/tex]
[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]
[tex]^{10}C_3 = \frac{10*9*8*7!}{3!7!}[/tex]
Divide numerator and denominator by 7!
[tex]^{10}C_3 = \frac{10*9*8}{3*2*1}[/tex]
[tex]^{10}C_3 = \frac{720}{6}[/tex]
[tex]^{10}C_3 = 120[/tex]
Next, the number of ways that 0 republicans can be selected from 6 will be calculated
[tex]^6C_0 = \frac{6!}{(6-0)!0!}[/tex]
[tex]^6C_0 = \frac{6!}{6!0!}[/tex]
[tex]^6C_0 = 1[/tex]
Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16
[tex]^{16}C_3 = \frac{16!}{(16-3)!3!}[/tex]
[tex]^{16}C_3 = \frac{16!}{13!3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14*13!}{13!3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14}{3!}[/tex]
[tex]^{16}C_3 = \frac{16*15*14}{3*2*1}[/tex]
[tex]^{16}C_3 = \frac{3360}{6}[/tex]
[tex]^{16}C_3 = 560[/tex]
Lastly, the probability is calculated as follows;
[tex]Probability = \frac{^{10}C_3\ *\ ^6C_0}{^{16}C_3}[/tex]
[tex]Probability = \frac{120\ *\ 1}{560}[/tex]
[tex]Probability = \frac{120\\}{560}[/tex]
Simplify fraction to lowest term
[tex]Probability = \frac{3\\}{14}[/tex]
What is the equation of a line that goes through the point (0, 2) and has a slope of 1?
Answer: y=x+2
Step-by-step explanation:
The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.
Answer:
y=x+2
Step-by-step explanation:
Slope intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.
y=1x+b
1x is equal to just x, so change 1x to x.
y=x+b
Now we must find the y-intercept, or b.
Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.
Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.
We are given the point:
(0,2)
Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.
y=x+b
y=x+2
The equation of the line is y=x+2
A regular hexagon is inscribed in a circle. The circle is inscribed in a square. If the side length of the square is 25 cm, what is the length of each side of the hexagon?
Answer:
12.5
Step-by-step explanation:
to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)
25/2=12.5