Answer:
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
Step-by-step explanation:
Suppose you have two functions f(x) and g(x). If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other. Similarly with f(x) as argument of g(x).
f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.
what is the total length of the two ladders 11.4 ft. 5.8ft.
Answer:
17.2ft
Step-by-step explanation:
just add
11.4+5.8=17.2
I beg you please help me with this
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
What is the perimeter of this arrangement?
MODELING REAL LIFE The diagram shows the number of quarts of blood the
human heart pumps per minute,
Pumps 5
quarts of
blood per
minute
a How many quarts of blood does the human heart pump per hour?
quarts per hour
b. How many liters of blood does the human heart pump per minute?
Answer:
a)300 quarts per hour
b)4.73 (rounded to the nearest hundredth) liters or 5 (rounded to the nearest whole number liters
Step-by-step explanation:
a)f the heart pumps 5 quarts per minute, and we want it in quart per hour, all we have to do is multiply 5x60 (quarts-per-minute x minutes-per-hour) =300 quarts per hour
b)1 quart is .946liters
using that conversion we get that 5 quarts is ≈4.73 litera
Look at the screen shot and answer the question. Please Explain !!
Answer:
see explanation
Step-by-step explanation:
- 4x + 3 < 23 ( subtract 3 from both sides )
- 4x < 20
x < - 5 ← Her error is on this step
When dividing by a negative quantity the symbol is reversed, that is
Divide both sides by - 4 and reversing the symbol gives
x > - 5
Identify the sampling method used:
A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.
Using sampling concepts, it is found that a Stratified sample was used.
Samples are classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.
A similar problem is given at https://brainly.com/question/23106151
1. Find the x and y intercept for the function 3x-4y=12
Step-by-step explanation:
To easily solve this problem we need to know two facts:
the y-intercept is 'c' when a line is in the slope-intercept form (y = mx + c)the x-intercept occurs when y = 0Slope-intercept form
Since 3x - 4y = 12
3x - 12 = 4y
y = ³/₄ x - 3
∴ y-intercept is (0, -3)
Solve for x when y = 0
Since 3x - 4y = 12
3x - 4(0) = 12
x = 4
∴ x-intercept is (4, 0)
We can check our answer by graphing the line and seeing if it passes through the intercepts we calculated. Since it does (see graph below), then the answers we calculated are correct.
The time, t, it takes a runner to cover a specified distance is inversely proportional to the runner's speed. If Jann Avery runs at an average of 6 miles per hour, she
will finish a race in 2. 1 hours. How long will it take Jackie Donofrio, who runs at 4 miles per hour to finish the same race?
To solve this problem you will need this tool, it is the formula of speed :
speed = distance/time
(I suggest you to remember this one for life, it is a really useful one)
Let's check how long that Jackie nice dude will take to finish the race...
Jann avery runs at an average of 6 mph (miles per hour), so we already got the speed for our formula. And she will finish the race in 2.1 hours so we got the time. What do we miss ? The distance.
Let's write what we already know to solve this puzzle :
6 = d / 2.1
Where d is that unknown distance.. So we are in front of an equation here let's solve it :
d / 2.1 = 6
d = 6 * 2.1
d = 12.6 miles
Now that we know that distance, for the race, we can see if that poor Jackie Donofrio has all his chances to catch Jann Avery...
We already know his speed... and since we have the distance, we write :
4 = 12.6 / t
Where t is the unknown time, for Jackie, to finish the same race. Let's solve the equation :
4t = 12.6 (we multiplied t on each side of the equation)
t = 12.6 / 4
t = 3.15
Jackie Donofrio, who runs at 4 miles per hour, will finish the race in 3.15 hours
Good Luck
jamie made 40 cupcake she frosted 1/2 of the cupcakes . of th frosted cupcake she put sprinkies on 1/5 of them , she ate 1/4 of the frosted cupcakes that had sprinkle
A college professor wants to survey a sample of students taking his course. Here are some details about his course:He teaches555 sections of the course.There are250250250 total students across those sections.There are505050 graduate students and200200200 undergraduate students taking the course.Each section has about505050 students (some graduate and some undergraduate).The professor wants to take a sample of303030 students for a survey. He suspects that opinions on the survey may differ the most based on student type (graduate or undergraduate), so he wants to design his sample to take that into account.
Answer:
d
took the test
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
khan academy
you are given a fraction in simplest form. the numerator is not zero.when you write the fraction as a decimal,it is a repeating decimal. which numbers from 1 to 10 could be the denominator
Answer:
3, 6, 7, 9
Step-by-step explanation:
We can take a look at each value from 1 to 10
We see that for 3, 6, 7, and 9 the decimal repeats forever for some numerators. For example, 1/3 repeats forever, 4/6 repeats forever, 5/7 repeats forever, 1/9 repeats forever.
If anyone could plz help ill really appreciate it
Answer:
Help with what is it mental help? Or no cause I’ve dealt with that a lot
Step-by-step explanation:
In Joe's fish tank, there are 5 goldfish and 12 snails. How does the ratio 5:17 describe Joe's fish
tank?
Choose the correct answer below.
O A. The ratio 5:17 compares the number of snails to the number of goldfish.
OB. The ratio 5:17 compares the number of snails to the total number of animals.
OC. The ratio 5:17 compares the number of goldfish to the total number of animals.
OD. The ratio 5:17 compares the number of goldfish to the number of snails.
Answer:
OC. 5:17 compares the amount og goldfish he has to the amount of total animals he has
Olivia works at a travel agency. She earns 7% commission her sales of airline tickets. How much does she earn when she sells 4 airline tickets, each costing $359.50
Answer:
$100.66
Step-by-step explanation:
First you have to figure out how much she is making from all four tickets, so 4 x 359.50 is $1,438
She makes 7% commission. In decimal form, that is .07. In order to find what she made, multiply .07 by $1,438.
Olivia makes $100.66
Josef and Mai divided some stamps between themselves. Josef got 60% of the stamps. If Josef received 500 more stamps than Mai, how many stamps did Josef receive?
The number of stamps Josef received out of the total stamps of 2,500 is 1,500 stamps
let
x = total number of stamps
Josef share = 60% of x
= 0.60 × x
= 0.60x
Mai = 40% of x
= 0.40x
Josef = 0.40x + 500
Total = Josef + Mai
x = (0.40 + 500) + 0.40x
x = 0.40x + 500 + 0.40x
x = 0.80x + 500
x - 0.80x = 500
0.20x = 500
x = 500/0.20
x = 2,500
Josef share = 60% of x
= 60/100 × 2,500
= 0.60 × 2,500
= 1,500 stamps
Therefore, the total number of stamps shared between Josef and Mai is 2,500
Read more:
https://brainly.com/question/16450098
Solve equations with variables on both sides
1/3+5/3r–r=2r
Answer:
r=1/4
Step-by-step explanation:
Answer:
r = 1/4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](\frac{5}{3}r - r) + (\frac{1}{3}) = 2r[/tex] [tex]\frac{2}{3}r+\frac{1}{3} = 2r[/tex]Step 2: Subtract 2r from both sides.
[tex]\frac{2}{3}r +\frac{1}{3} - 2r = 2r - 2r[/tex] [tex]\frac{-4}{3}r+\frac{1}{3}=0[/tex]Step 3: Subtract 1/3 from both sides.
[tex]-\frac{4}{3}r+\frac{1}{3} -\frac{1}{3} =0-\frac{1}{3}[/tex] [tex]-\frac{4}{3}r=-\frac{1}{3}[/tex]Step 4: Multiply both sides by -3/4.
[tex]-\frac{4}{3}r*\frac{3}{-4} =\frac{-1}{3} *\frac{3}{-4}[/tex] [tex]r = \frac{1}{4}[/tex]Therefore, r = 1/4.
Tom knew that he needed to have at least
$60 to buy a bus ticket. He had $150 in his
bank account and each month he paid his
phone bill. If his phone bill is $30 a month,
how many months can he pay his phone bill
and still have enough for his bus ticket?
candy comes in large bags of 75 candies, a 1 pound bag, and a large bags with multiple fun-size packs. Jenny randomly opened 12 of the fun-size packs of candies from a bag. The colors she found in each pack are shown in the table.
How does the mean number of reds found in the samples compare to the mean number of purples? Is Jenny more likely to get more of one particular color if she opened 12 more packs of candies.
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
The mean number of red (1.75) is 0.5 less than the mean number of purple.
What is Mean?Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.
Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.
Jenny randomly opened 12 of the fun-size packs of candies from a bag.
The mean number of reds will be
[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]
The mean number of purples will be
[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]
The mean number of red (1.75) is 0.5 less than the mean number of purple.
More about the mean link is given below.
https://brainly.com/question/521501
Iro drives 50 miles/hour for 0.6 hours. Kalini drives 65
miles/hour for 0.5 hours.
Who drove farther, and how far did that person drive?
Answer:
iro 50*.6 gives us 30 miles
andkalini drives 65 for .5 65*.5= 32.5 miles
so kalini drove further
Evaluate or Simplify: (5^2 × 6^2/(30)^4)^3
Step-by-step explanation:
Given that:
[{5² × 6²}/{(30)⁴}]³
⇛[{5² × 6²}/{(5 × 6)⁴}]³
⇛[{5² × 6²}/{(5⁴ × 6⁴}]³ [∵(ab)ᵐ= aᵐbᵐ]
⇛[{5²/5⁴} × {6² × 6⁴}]³
⇛[5^(2-4) × 6^(2-4)]³ [∵aᵐ/aⁿ = aᵐ-ⁿ]
⇛[5^-2 × 6^-2]³ [∵aᵐbᵐ = (ab)ᵐ]
⇛[(5×6)^-2]³
⇛[30^-2]³
⇛[30]^-2×3 [∵(aᵐ)ⁿ = aᵐⁿ]
⇛30^-6. [∵(a^-ⁿ = 1/a^n]
⇛1/(30)⁶ ≈ 72 90 00 000 Ans.
Hope this helps!!
If you have any doubt, then you can ask me in the comments.
Which expression is equivalent to n2 + 26n + 88 for all values of n?
(n + 8)(n + 11)
(n + 4)(n + 22)
(n + 4)(n + 24)
(n + 8)(n + 18)
Answer:
Option B is correct.
Step-by-step explanation:
Our expression is:
n² + 26n + 88Let's check all of our options to see if any option is accurate.
Option A:
(n + 8)(n + 11)
=> n² + 11n + 8n + 88
=> n² + 19n + 88
n² + 19n + 88 ≠ n² + 26n + 88
Option B:
(n + 4)(n + 22)
=> n² + 22n + 4n + 88
=> n² + 26n + 88
=> n² + 26n + 88 = n² + 26n + 88 ✔
Option C:
(n + 4)(n + 24)
=> n² + 24n + 4n + 96
=> n² + 28n + 96
=> n² + 28n + 96 ≠ n² + 26n + 88
Option D:
(n + 8)(n + 18)
=> n² + 18n + 8n + 144
=> n² + 26n + 144
=> n² + 26n + 144 ≠ n² + 26n + 88
Conclusion:
So, after working on this problem, we can conclude that Option B is our answer. Hoped this helped
Answer:
B
Step-by-step explanation:
edge 22'
7. Elle can buy milk at a local farmers'
market for $3.58 per gallon or at the
grocery store for $3.79 for 4 L. Which
is the better buy?
Answer: They are the same equivalent price, $0.95/liter.
Step-by-step explanation:
Choices: $3.58 per gallon, or $3.79 for 4 L.
========
We need to convert one of the volumes. I'll convert gallons to liters.
By definition, 1 gallon = 3.785 liters
Make this into a conversion factor:
We can make it either:
1) (3.785 liters/gallon), or
2) (1 gallon/3.785 liters)
Now convert the $3.58/gallon into dollars/liter. We'll use the second conversion factor so that gallons cancels out when we multiply:
($3.58/gallon)*(1 gallon/3.785 liters) = $0.95/liter.
The grocery store milk must also be converted to a price expressed per 1 liter:
$3.79 for 4 L
= $0.95/liter.
They are the same equivalent price, $0.95/liter.
The price of a t-shirt is $15. If you buy more than 4 shirts, you will get 15% discount. How much do you have to pay (before tax) if you buy 8 shirts?
Which expression below is equivalent?
A. 7x+x+8=16x
B. x+x+1+1=2x+2
C. 5(x+3)=5x+5
D. 9x−18=9(x+2)
Lets look at each one:
A. 7x+x+8=16x
This left side will be 8x + 8, so its wrong.
B. x+x+1+1=2x+2
This left side will be 2x + 2, it is right!
C. 5(x+3)=5x+5
This left side will be 5x+15, so its wrong.
D. 9x−18=9(x+2)
This left side will be 9(x-2), so its wrong.
Our answer is going to be B) x+x+1+1=2x+2
x + x = 2x
1 + 1 = 2
2x + 2
I hope this helps! :)
i need answer please
find slope and y-intercept
5x+3y=-6
Answer:
[tex]m=-\frac53; q=-2[/tex]
Step-by-step explanation:
Let's bring the line in the classical [tex]y=mx+q[/tex] form
[tex]3y= -5x-6\\y=-\frac53 x -2[/tex]
At this point we have the two values [tex]-\frac53[/tex] for the slope and [tex]2[/tex] for the intercept
Calculator
15
What is the value of x?
9
3x
B
Enter your answer in the box
2x-1
X =
Answer:
the answer is -2
Step-by-step explanation:
-2........
Help with this and explain please
Answer:
Step-by-step explanation:
-6x + y = -6 Add 6x to both sides
y = 6x - 6 So the slope of the new line is 6
The point the new line has to go through is (-4,0) That will determine b.
y = 6x - 6
x = - 4
y = 0
0 = 6*(-4) + b Combine
0 = - 24 + b add 24 to both sides
24 = b
Answer: y = 6x + 24
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
How many lines of symmetry does the figure have?
Answer:
9
Step-by-step explanation:
just count it!!
hope its help