let f:A=B such that f(x)=y and g:B=C such that g(y)=z.name the function defined from A to C.
Answer:
since g:B→C is onto
suppose z∈C,there exists a pre-image in B
Let the pre-image be y
Hence y∈B such that g(y)=z
similarly f:A→B is onto
suppose y∈B,there exists a pre-image in A
Let the pre-image be x
Hence x∈A such that f(x)=y
Now gof(x)=g(f(x))=g(y)=z
So for every x in A,there is an image z in C
Evaluate the function below for x = 2.
F(x) = x^4 + 6x2 + 3
Answer:
43
Step-by-step explanation:
Luella has a pond in her yard. She wants to surround it with 330 feet of fencing. Fencing is sold by the yard. How many yards should she buy?
Answer:
110 yards
330/ 3 ,=110
1yard =3 feet
Step-by-step explanation:
if you multiply 3 to 110=330
or 330 divided by 3=110 yards.
A rod is sliding down the side of a wall such that the height is decreasing at a rate of 5 inches per second. If the rod is 174 inches long, what is the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches?
Answer: The rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.
Step-by-step explanation:
Let h = height, x= distance between the bottom of the rod and the base of the wall.
Given: [tex]\dfrac{dh}{dt}[/tex] = 5 inches per second
Consider the diagram (given in the attachment below):
By Pythagoras theorem, we have
[tex](174)^2=h^2+x^2\ \ (i)\\\\$$30276=35^2+x^2 \ \ \ [h=35 \ in.]\\\\ 30276=35^2+x^2 \\\\ 30276=1225+x^2\\\\ x^2=30276-1225\\\\ x^2 = 29051 \\\\ x=\sqrt{29051}\approx170.447 in.[/tex]
Differentiate both sides of (i) w.r.t t, we get
[tex]0=2x\dfrac{dx}{dt}+2h\dfrac{dh}{dt}\\\\\dfrac{dx}{dt}=\dfrac{-h}{x}\dfrac{dh}{dt}[/tex]
[tex]\dfrac{dx}{dt}=\dfrac{-35}{170.44}(-5)=1.02675\text{ inches per second }[/tex]
Hence, the rate of change of the distance between the bottom of the rod and the base of the wall when the height is 35 inches = 1.02675 inches per second.
i need help right now!!!!
Answer:
look at the picture i sent...........
How many times greater is 9 x 105 than 8 x 102?
Answer:
Step-by-step explanation:
945 816 so 129 greater
1 A puppy named Fuzzy started out at 3 pounds and gained 1/4 pounds every month. The
relationship between the age in months x and the weight y, can be expressed using the equation Y = 1/4 x + 3
1.) Which expression represents the slope in this context?
A) 3
B) 1/3
C) 4
D) 1/4
Answer:
It would be D, 1/4.
Step-by-step explanation:
I hope this helps you!
Write an equation in point-slope form of the line that passes through (-3,2) and (6, -1).
Answer:
9 I think.
Step-by-step explanation:
Please what’s the answer
Answer:
It's the second one.
If we added up all the ANGLE measures of this figure, what would be the total number of degrees? (type number only)
Answer:
180°
Step-by-step explanation:
all triangles have a angle sum of 180°
all squares and rectangles have an angle sum of 360°
A convex polyhedron has faces that consist of 30 squares, 20 triangles, and 12 pentagons. The polyhedron has 120 edges. How many vertices does it have?
Euler’s formula: V + F = E + 2
a:60
b:92
c:122
d:180
THE ANSWER IS A:60 ON EDGE 2021
Answer:
THE ANSWER IS D 180
Step-by-step explanation:
THE PERSON WHO MADE THIS QUESTION IS WRONG, PLS TRUST
Please solve these system of equations using elimination. Random answers or links will be reported.
1. 6x+2y=40
8x+3y=47
2. 6x+5y=34
6x+6y=27
3.8x+2y=64
6x+3y=34
4.5x+5y=26
8x+3y=36
5. 6x+3y=36
4x+5y=46
6. 2x+9y=41
8x+4y=36
Answer:
1. x = 13 , y = − 19
2.x=23/2,y=-7
3.x=31/3,y=-28/3
4.x=102/25,y=28/25
5.x=7/3,y=22/3
6.x=5/2,y=4
Step-by-step explanation:
I hope this helped!
Answer:
1. x = 13 , y = − 19
2.x=23/2,y=-7
3.x=31/3,y=-28/3
4.x=102/25,y=28/25
5.x=7/3,y=22/3
6.x=5/2,y=4
Step-by-step explanation:
I hope this helps!
Round 564,938 to the nearest 1000 is it 565000
Answer:
YES!
Step-by-step explanation:
564,938 -> 565,000
BRAINLIEST?
2. If point A=(2,0 and B=(6,6) then the gradient of line AB is: *
1.2
2.6
3.3
4.3/2
3. If point, A=(2,0) and B=(6,6) then the y-intercept of line AB is:
1.-3
2.3
3.2
4.6
Answer:
2.answer is 3.3
3.answer is 4.6
7) Find 18th term of the arithmetic sequence:
{13, 8, 3, -2, -7, ...}
Tysm
13-8=5
8-5=3
3-5=-2
-2-5=-7
etc.
Just keep subtracting 5 until you have the 18th term
---
hope it helps
Answer:
-77
Step-by-step explanation:
Reasoning:
Every step is decreasing by 5, therefor you will do 13-5 18 times. this will get you -77
which of the following doesn't describe a point?
Answer:
It has infinite length, but no width and no thickness (It describes a Line )
Hope it helps...
Have a great day :P
Find the equation to the graph below
Answer:
a
Step-by-step explanation:
the formula of the equation is y=mx+n; and if m=1/2 and n=-1 then it's y=1/2x-1
Find the missing exponent.
100
Stubmit
Answer:
10^2
Step-by-step explanation:
10*10 =100
Jack had $25. He went to the grocery store and bought a few things. When he paid, he got $8 change.
How much money did he spend
Answer:
17$
Step-by-step explanation:
25-8=17
y = 2x + 7
y = -3x - 33
Solve using the Substitution Method
Answer:
-8
Step-by-step explanation:
What is 25 x 65 / 73?
25x65=1625
1625/73=22.26
Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.
Enter the correct answer.
Answer:
3
Step-by-step explanation:
By going up 3 and right 1 you get 3/1, aka 3
The line of the equation is y=3x+2
a village school starts at 8.30am and end at 3.45pm.how long is the school day
Answer:
7 hours and 15 minutes.
Step-by-step explanation:
Draw a timeline for this question.
8.30 + 7 hours = 3.30pm or 15 30
3.30 + 0.15 minutes = 3.45 or 15 45
7 hours + 0.15 minutes = 7 hours and 15 minutes.
In a bag filled with 200 M&M's, 80 are yellow. What percent is yellow?
Answer:
40% i think
Step-by-step explanation:
Answer: 40%
Step-by-step explanation:
Divide 80 by 200 and you get 0.4
Multipy 0.4 by 100 and u get 40 which is your answer
The question that is asked...
Answer:
ps is perpendicular to line ur.
angle pvr is 90°
12x+3x=90°
15x=90°
x=90°/15
x=6
by putting value of x
12x=72°
Can I get some help in the next 10 minutes or so
Answer: help with what?
Step-by-step explanation:
Answer:
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Toni bought 5 t-shirts for $35 . Each shirts cost the same amount
Answer:
35/5 =7 dollars
A cone has a radius of 10 meters and a height of 5 meters. What is the volume of the cone to the nearest cubic meter? Use 3.14 for
Answer:
523.3
Step-by-step explanation:
The volume of a cone is 1/3 hB where h is the height and B is the area of the base.
Step 1: Find the area of the base (B). The base of a cone is a circle so use the formula pi*r^2. Plug in numbers. 3.14*10^2. 3.14*100=314
Step 2: Plug into the formula. 1/3(5*314) --> 1/3(1570)=523.3
A Hertz Rent-a Car is a car agency charges $40 for one day plus $0.10 per mile to rent a full size car. Enterprise Rent-A-Car charges $18 for one day plus $0.20 cents per mile to rent the same car. How many miles could you drive in one day that would result in the final bill to be the same from both companies?
Answer: 220 miles
Step-by-step explanation:
Let's write the equations for each case:
A Hertz Rent-a Car:
Charges a fixed amount of $40, plus a $0.10 per mile.
Then if you drive x miles, we get a total cost of:
C(x) = $40 + $0.10*x
Enterprise Rent-A-Car:
Chares a fixed amount of $18 plus $0.20 per mile, so if you drive x miles, the cost is:
K(x) = $18 + $0.20*x
Now, we want to find how many miles you can drive such that you would pay the same in both companies.
Then we need to find x such that:
C(x) = K(x)
$40 + $0.10*x = $18 + $0.20*x
Let's solve this for x.
$40 - $18 = $0.20*x - $0.10*x
$22 = ($0.20 - $0.10)*x
$22 = $0.10*x
$22/$0.10 = x
220 = x
So if you drive exactly 220 miles, you would pay the same in both companies.
The average price for a gallon of gasoline in Germany is $5.57 and in France it is $5.54. Assume these averages are population averages in two countries, and that the probability distributions are normally distributed with the standard deviation of $.35 in Germany and standard deviation of $.25 in France. What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
Answer:
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The average price for a gallon of gasoline in France is $5.54. The standard deviation is $.25.
This means that [tex]\mu = 5.54, \sigma = 0.25[/tex]
What is the probability that a randomly selected gas station in France charges more than $5.30 per gallon?
This is 1 subtracted by the pvalue of Z when X = 5.30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{5.3 - 5.54}{0.25}[/tex]
[tex]Z = -0.96[/tex]
[tex]Z = -0.96[/tex] has a pvalue of 0.1685
1 - 0.1685 = 0.8315
0.8315 = 83.15% probability that a randomly selected gas station in France charges more than $5.30 per gallon