Answers
f(x) = (5x+1) / x g(x) = x / (5x+1)
f(1) = 6, but g(6) = 6/31 ≠ 1
So, f(x) and g(x) are NOT inverse functions.
Related Questions
Please I need some answers
Answers
a)2^6
b)5^7
c)7^6
hope this helps :)))
A restaurant bill is $56.39 calculate 20%
Answers
Answer:
$11.29. $56.39 divided by 5, which is 20 percent, gives you around 11.287. Round up, and you get $11.29
Step-by-step explanation:
Answer:
11.278 Is the exact answer.
Step-by-step explanation:
PLEASE MARK BRAINLIESTgiving brainliest !!!
Answers
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours. A simple random sample of 36 bulbs is taken. a. What are the expected value, standard deviation, and shape of the sampling distribution of
Answers
Answer:
Answer and Explanation:
We have:
Population mean,
μ
=
3
,
000
hours
Population standard deviation,
σ
=
696
hours
Sample size,
n
=
36
1) The standard deviation of the sampling distribution:
σ
¯
x
=
σ
√
n
=
696
√
36
=
116
2) As per the central limit theorem, the expected value of the sampling distribution is equal to the population mean.
Therefore:
The expected value of the sampling distribution is equal to the population mean,
μ
¯
x
=
μ
=
3
,
000
The standard deviation of the sampling distribution,
σ
¯
x
=
116
The shape of the sampling distribution of
¯
x
is approximately normal. As the sample size is more than
30
.
3) The probability that the average life in the sample will be between
2670.56
and
2809.76
hours:
P
(
2670.56
<
x
<
2809.76
)
=
P
(
2670.56
−
3000
116
<
z
<
2809.76
−
3000
116
)
=
P
(
−
2.84
<
z
<
−
1.64
)
=
P
(
z
<
−
1.64
)
−
P
(
z
<
−
2.84
)
=
0.0482
Using Excel: =NORMSDIST(-1.64)-NORMSDIST(-2.84)
4) The probability that the average life in the sample will be greater than
3219.24
hours:
P
(
x
>
3219.24
)
=
P
(
z
>
3219.24
−
3000
116
)
=
P
(
z
>
1.89
)
=
0.0294
Using Excel: =NORMSDIST(-1.89)
5) The probability that the average life in the sample will be less than
3180.96
hours:
P
(
x
<
3180.96
)
=
P
(
z
<
3180.96
−
3000
116
)
=
P
(
z
<
1.56
)
=
0.9406
The expected value, standard deviation, and shape of the sampling distribution of will be 116.
What is Standard deviation?Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
Given that;
The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Now,
Since, The average lifetime of a light bulb is 3,000 hours with a standard deviation of 696 hours.
And, A simple random sample of 36 bulbs is taken.
Hence, The expected value, standard deviation, and shape of the sampling distribution of is,
⇒ Standard error = 696 / √ 36
= 696 / 6
= 116
Thus, The expected value, standard deviation, and shape of the sampling distribution of = 116.
Learn more about the standard deviation visit:
https://brainly.com/question/475676
#SPJ5
If the radius r of a circle is decreasing at the rate of 5 cm per minute, find the rate of change of area when radius is 6 cm.
Answers
Answer:
-94.2 [tex]cm^2/min[/tex]
Step-by-step explanation:
Rate of change of radius = -5 cm per minute (as it is decreasing)
Radius of circle = 6 cm
Formula for area of Area:
[tex]A = \pi r^2[/tex]
Formula for differentiation of [tex]y = x^n[/tex]:
[tex]\dfrac{dy}{dt} = nx^{n-1}\dfrac{dx}{dt}[/tex]
Differentiating area w.r.to [tex]t[/tex]:
[tex]\dfrac{dA}{dt} = 2\pi r\dfrac{dr}{dt}[/tex]
Putting the values, [tex]r = 6, \frac{dr}{dt} = -5[/tex] cm per minute.
[tex]\dfrac{dA}{dt} = 6\pi \times (-5)\\\Rightarrow \dfrac{dA}{dt} = -30 \times 3.14\\\Rightarrow \dfrac{dA}{dt} = -94.2\ cm^2/min[/tex]
Negative sign indicates that area is decreasing.
Rate of change of area is -94.2 [tex]cm^2/min[/tex].
The area decreases at a rate of -188.4 square centimeter per minute
The area (A) of a circle of radius (r) is represented as:
[tex]A = \pi r^2[/tex]
Differentiate the area, with respect to r
[tex]A' = 2\pi r r'[/tex]
From the question, we have:
Radius (r) = 6cmRate of change of radius (r') = -5cm per minuteSo, the equation becomes
[tex]A' = 2\times 3.14 \times 6 \times (-5)[/tex]
[tex]A' =- 188.4[/tex]
Hence, the area decreases at a rate of -188.4 square centimeter per minute
Read more about rates of change at:
https://brainly.com/question/8728504
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
Answers
Answer:
what is it asking
Step-by-step explanation:
A box of 11 transistors has 4 defective ones.
A) If 2 transistors are drawn from the box together, what is the probability that both transistors are defective?
B) If 2 transistors are drawn from the box together, what is the probability that neither transistor is defective?
C) If 2 transistors are drawn from the box together, what is the probability that one transistor is defective?
Answers
Answer:
(a) 0.1325
(b) 0.4045
(c) 0.463
Step-by-step explanation:
Let X denote the number of defective transistors.
The proportion of defective transistors is, p = 4/11 = 0.364.
All the transistors are independent of the others.
The random variable X follows a binomial distribution.
(a)
Compute the probability that both transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=2)={2\choose 2}(0.364)^{2}(1-0.364)^{2-2}\\\\=1\times 0.132496\times 1\\\\=0.132496\\\\\approx 0.1325[/tex]
(b)
Compute the probability that neither transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=0)={2\choose 0}(0.364)^{0}(1-0.364)^{2-0}\\\\=1\times 1\times 0.404496\\\\=0.404496\\\\\approx 0.4045[/tex]
(c)
Compute the probability that one transistors are defective, if 2 transistors are drawn from the box together as follows:
[tex]P(X=1)={2\choose 1}(0.364)^{1}(1-0.364)^{2-1}\\\\=2\times 0.364\times 0.636\\\\=0.463008\\\\\approx 0.463[/tex]
Write the expression represented by the following:
The quotient of a number and 7, increased by 5
Answers
Answer:
x (divistion symbol) 7 + 5
Step-by-step explanation:
Luke's pencil case measure 1.5 inches by 4 inches by 6 inches. How many pencils can he fit in his pencil case if each pencil has a volume of 3 square inches?
Answers
Answer:
b
Step-by-step explanation:
How? 1.5x4x6=36 then, 36/3=12 because each pencil has a volume of 3, so 12 is your answer.
A professional language translator gets paid an average of $320 per hour with a standard deviation of $41.75 per hour. What proportion of professional language translators get paid less than $250 per hour? Assume the population is normally distributed. Round your answer to four decimal places
Answers
Answer:
0.0475 or 4% professional language translators get paid less than $250 per hour
Step-by-step explanation:
Mean = 320
Standard Deviation = 41.75
We need to find proportion of professional language translators get paid less than $250 per hour i.e P(x<250)
First we will find value of z
Using formula: [tex]z=\frac{x-\mu}{\sigma}[/tex]
We have x=250, finding z
[tex]z=\frac{x-\mu}{\sigma}\\z=\frac{250-320}{41.75}\\z=-1.67[/tex]
Now we will find P(z<-1.67) by looking into the normal distribution table
[tex]P(z<-1.67)=0.0475\\[/tex]
So,0.0475 or 4% professional language translators get paid less than $250 per hour
in need help wihe lateral asn and total surface area
Answers
100.6 + 296.5 using
mental math
Answers
Answer:397.1....i think
Step-by-step explanation:
Answer:
397.1
Step-by-step explanation:
I used mental math
swear no calculator or work done
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Find the value of θ from the following equation.(θ≤90°)
Answers
Answer: 10°
__________________________________________________________
We are given:
Sin(6θ) = Cos(3θ)
Solving for θ:
Simplifying Cos(3θ):
We know that:
Cos(θ) = Sin(90-θ)
So, we can say that:
Cos(3θ) = Sin(90 - 3θ)
Finding the value of θ:
Sin(6θ) = Cos(3θ)
Sin(6θ) = Sin(90 - 3θ) [Since Cos(3θ) = Sin(90 - 3θ)]
6θ = 90 - 3θ [If Sin(θ) = Sin(A) ; θ = A]
9θ = 90 [adding 3θ on both sides]
θ = 10° [dividing both sides by 9]
There are a total number of 38 possible equally likely outcomes on a roulette wheel. Out of the 38 outcomes, there are 18
odd-numbered outcomes. What's the probability of spinning an odd number?
• Express your answer as a fraction.
Answers
Answer:
9/19
Step-by-step explanation:
just put the total odd numbers, 18, over the total outcomes, 38, and divide them and simplify
Answer:
9/19
Step-by-step explanation:
what is the slope of the following line?
Answers
Answer:
-2
Hope this helps,
PumpkinSpice1
The slope of the line will be ( -1 / 2 ). The correct option is C.
What is the slope?
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The two points are (0,3) and ( 6,0). The slope of the line will be calculated by using the formula below;-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 3 ) / ( 6 - 0 )
Slope = -3 / 6 = -1 / 2
Therefore, the slope of the line will be ( -1 / 2 ). The correct option is C.
To know more about slopes follow
https://brainly.com/question/3493733
#SPJ5
This is soo hard can someone please help
Answers
f(x)=1/4x+8
y=1/4x+8
x=1/4y+8
1/4y+8=x
y+32=4x
y=4x-32
f^-1(x)=4x-32
An industrial factory makes / yards of chain every minute. The cost of each yard of chain is $2.00. What is the total cost for all chain produced in 10 minutes?
Answers
Answer:
Cost = $86.67
Step-by-step explanation:
Given
Yards = 4⅓ (missing part of the question)
Cost per yard = $2.00
Required
Determine cost of chains produced in 10 minutes
If 4⅓ yards is made in a minute, then
4⅓ * 10 yards are made in 10 minutes
Total = 4⅓ * 10
Total = 13/3 * 10
Total = 130/3 yards
Cost of a yard of chain is $2.00.
Cost of 130/3 yards would be:
Cost = $2.00 * 130/3
Cost = $260.00/3
Cost = $86.67 (approximated)
Hence, the required cost is approximately $86.67
After writing a check mike had -$34.50 in his account, he deposited $20.00 how much did he have now?
Answers
Answer:
-$14.50
Step-by-step explanation:
This is easily solved on a calculator.
-34.50 + 20.00 = -14.50
Solve plz, this is due Tomorrow!!
Answers
.
Step-by-step explanation:
25) h=11
26). two sides are same = 12cm
27). time = 15 hours
28). veronica travelled = 6+1 = 7 days
29). number of tickets buyed by people each showing : 231
30) ©
An airplane is preparing to land at an airport. It is 44,8000 feet above the ground and is descending at the rate of 3,100 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,500 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation.
Answers
Answer:
Time: 8 minutes
Altitude: 20000ft
Method 1 is easiest
Method 3 is easiest
Step-by-step explanation:
Given
Airplane 1:
[tex]Height = 44800 ft[/tex]
[tex]Descending\ Rate = 3100ft/min[/tex]
Airplane 2:
[tex]Ascending\ Rate = 2500ft/min[/tex]
Required
Determine when both planes would be at the same altitude?
Let the minute be represented by m
For Airplane 1, Its altitude at any height h is:
[tex]Airplane\ 1 = Height - Descending\ Rate * m[/tex]
It is minus (-) because the airplane is descending
[tex]Airplane\ 1 = 44800 - 3100 * m[/tex]
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
For Airplane 2, Its altitude at any height h is:
[tex]Airplane\ 2 = Ascending\ Rate * m[/tex]
[tex]Airplane\ 2 = 2500 * m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Method 1:
For both heights to be equal, we have that:
[tex]Airplane\ 1 = Airplane\ 2[/tex]
This gives:
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Hence, the time they will be at the same altitude is 8 minutes
Substitute 8 for m in
[tex]Airplane\ 2 = 2500m[/tex]
[tex]Airplane\ 2 = 2500 * 8[/tex]
[tex]Airplane\ 2 = 20000\ ft[/tex]
Hence, they will be at the same altitude at 20000ft
Method 2:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The difference in their altitude must be 0
i.e.
[tex]Airplane\ 1 - Airplane\ 2 = 0[/tex]
This gives
[tex]44800 - 3100m - 2500m = 0[/tex]
[tex]44800 - 5600m = 0[/tex]
Collect Like Terms
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Method 3:
We have that:
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 2 = 2500m[/tex]
Since they are to be at the same altitude, then
The ratio of their altitudes must be 1
i.e.
[tex]\frac{Airplane\ 1}{Airplane\ 2} = 1[/tex]
[tex]\frac{44800 - 3100m}{2500m} = 1[/tex]
Cross Multiply
[tex]44800 - 3100m = 1 * 2500m[/tex]
[tex]44800 - 3100m = 2500m[/tex]
Collect Like Terms
[tex]44800 = 2500m + 3100m[/tex]
[tex]44800 = 5600m[/tex]
[tex]5600m = 44800[/tex]
[tex]m = 44800/5600[/tex]
[tex]m = 8\ min[/tex]
Substitute 8 for m in
[tex]Airplane\ 1 = 44800 - 3100m[/tex]
[tex]Airplane\ 1 = 44800 - 3100 * 8[/tex]
[tex]Airplane\ 1 = 44800 - 24800[/tex]
[tex]Airplane\ 1 = 20000\ ft[/tex]
Hence;
Their altitudes must be 20000ft
Though the three methods applied uses the same logic at some point, the first method applied is still the easiest and it is a straight forward method that could be applied in solving the question.
Method 3 is the most difficult.
please answer as fast as possible see image
Answers
Answer:
388
Step-by-step explanation:
We need to find the area of the semicircle and parallelogram separately and then combine.
The formula for the area of a semicircle is 1/2(pi*r^2)
r = 12. 12^2 = 144
1/2(pi*144) = 226..1946711 which we can just round to 226
The formula for the area of a parallelogram is bh
b = 18, h = 9. 18*9 = 162.
226+162 = 388
Answer:
218.55Step-by-step explanation:
total area = semi circle + parallelogram
= (1/2 π 6²) + (9 x 18)
= 56.55 + 162
= 218.55 sq. units
a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven there will be none left. find the least number of passengers in the bus?
Answers
The lowest multiple of 7 that is not a multiple of 2, 3 or 5 is 7
The next multiple after 7 that is not a multiple of 2, 3 or 5 is 49
7 x 1 = 7
7 x 2 = 14 ( can be divided by 2 )
7 x 3 = 21 ( can be divided by 3 )
7 x 4 = 28 ( can be divided by 2 )
7 x 5 = 35 ( can be divided by 5 )
7 x 6 = 42 ( can be divided by 2 )
7 x 7 = 49
Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.
Answers
Answer:
company d
Step-by-step explanation:
mark brainliest
Answer:
after 3 days, the total cost of renting a car from Discount car rentals or Payless car rentals is the same.
The difference between 2 days = $265 - $185 = $80
If the difference between 2 days = $80
Difference between 1 day = $80/2= $40
Step-by-step explanation:
Hopefully this helped, if not HMU and I will try my best to get u a better answer! have a great day :)
Please help with this as soon as you can. Really need help and no idea how to do it.
Answers
Answer:
DE, BC, BA, CA
Step-by-step explanation:
basically just find the ones that do not cross and those are parellel.
PLEASE HELP FAST The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund. Each year the fund will decrease by 5%. Determine the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years.
A.
$27,550
B.
$22,641
C.
$24,435
D.
$24,436
Answers
Answer:
c. $24,435
Step-by-step explanation:
[tex]30000(1 - .05)^{4} = 24,435.19[/tex]
The amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The Booster Club raised $30,000 for a sports fund. No more money will be placed into the fund.
To find the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years:
The money left after 4 years = 30000(1 - 0.05)⁴
After solving:
The money left after 4 years = $24,435
Thus, the amount of money, to the nearest dollar, that will be left in the sports fund after 4 years is $24,435 option (C) is correct.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
A rock is thrown upward with a velocity of 17 meters per second from the top of a 31 meter high cliff and it missies the cliff on the way back down when will the rock ve 8 meters from the ground level
Answers
Answer:
[tex]4.5\ \text{s}[/tex]
Step-by-step explanation:
t = Time taken
u = Initial velocity =17 m/s
v = Final velocity
s = Displacement
a = Acceleration
g = Acceleration due to gravity = 9.81 m/s² = a
[tex]v^2-u^2=2as\\\Rightarrow s=\dfrac{v^2-u^2}{2a}\\\Rightarrow s=\dfrac{0^2-17^2}{2\times -9.81}\\\Rightarrow s=14.73\ \text{m}[/tex]
Total height the rock is to fall when it is 8 meters from the ground is [tex]14.73+(31-8)=37.73\ \text{m}[/tex]
[tex]v=u+at\\\Rightarrow t=\dfrac{v-u}{a}\\\Rightarrow t=\dfrac{0-17}{-9.81}\\\Rightarrow t=1.73\ \text{s}[/tex]
Time taken to reach the maximum height is 1.73 s.
[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow 37.73=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{37.76\times 2}{9.81}}\\\Rightarrow t=2.77\ \text{s}[/tex]
Time taken from the maximum height to the point which is 8 m from the ground is 2.77 s.
So, time taken from the moment of the throw to the point 8 m from the ground is [tex]1.73+2.77=4.5\ \text{s}[/tex].
what is the answer for 6.8×10²
Answers
Answer:
680
Step-by-step explanation:
Answer:
680
Step-by-step explanation:
10 to the 2nd power is 10 times 10 which is 100.
Now, 6.8 times 100 is 680.
Hope this helps you!!
A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit
Answers
Answer:
-13??? weird question... do you mean celcius themometer?
Step-by-step explanation:
Answer:
The integer that represents 13 degrees below 0 is -13°F.
Step-by-step explanation:
This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.
P.S.
This question was asked by somebody else and I answered already so I am not copying the answer!
Hope this helps! :)
Sheila picks for 1 1/4 pounds of blueberries for $10 how many pounds can she pick for $1
Answers
Answer:
0.125 pounds of blueberries
Step-by-step explanation:
Trust me
Answer:
1/8
Step-by-step explanation:
1 1/4=1.25
1.25/10=0.125
0.125 in the simplest fraction form is 1/8
hope this helps :3
if it did pls mark brainliest
What is 56/15 as a decimal rounded to the nearest tenth
Answers
Answer:
3.73
Step-by-step explanation:
56/15
3 11/15
3.73
3.733333... —————> 3.7