Answers
Answer:
false
Step-by-step explanation:
A function has a one to one correspondence. That means each input goes to one output. 12 goes to 2 different outputs so it is not a function
Answer:
false
Step-by-step explanation:
f(x) is not a function because an input can I have more than one output.
Related Questions
will mark bianleast plz plz
Which is the best description of the transformation shown?
A pentagon is translated 4 units to the right.
A pentagon is translated 9 units to the right.
A pentagon is reflected across the x-axis.
A pentagon is reflected across the y-axis.
Answers
Answer:
A pentagon is reflected across the y-axis
WILL GIVE BRAINLIEST AND 30 POINTS! Peter calculated |5 + 13i| by finding Where was Petey’s mistake? He should not have used the Pythagorean theorem. He should have used 13 instead of 13i. (13i)2 = 169, not –169.
Answers
Answer: He should have used 13 instead of 13i
Step-by-step explanation:
Answer:
He should have used 13 instead of 13i
Step-by-step explanation:
You enjoy reading in your free time and keep every book you have ever read. When you were five, you read 2 books and every year after you tripled the number of books you read. How many books did you have in your bookcase when you were 11 years old?
Answers
The total number of books that we had in out bookcase when we were 11 years old was 2,187 books.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is [tex]a[/tex]
and the term by which we multiply the previous term to get the next term is [tex]r[/tex]
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be
[tex]T_n = ar^{n-1}[/tex] (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
What is the sum of terms of a geometric sequence?Lets suppose its initial term is [tex]a[/tex] , multiplication factor is [tex]r[/tex]
and let it has total n terms, then, its sum is given as:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}[/tex]
(sum till nth term)
For this case the initial number of books (2) is multiplied by 3 each year.
So we got:
a = 2,
r = 3
Since a = 2 was for age 5, and if we take age 5 at 1st position, then age 11 is at the 7th position.
The number of books we read at each age is a geometric sequence with initial term 2 and multiplication factor 3.
The sum of its term(which would make it geometric series) will give the total number of books we will have.
Since age 11 is at 7th position, so n = 7
Thus, the total number of books we had in the bookcase when we were 11 years old is:
[tex]S_n = \dfrac{a(r^n-1)}{r-1}\\\\S_7 = \dfrac{2((3)^7-1)}{3-1} = 2187[/tex]
We could've derived it without formula as:
Age 5: 2 booksAge 6: [tex]2 \times 3[/tex] booksAge 7: [tex]2 \times 3^2[/tex] booksAge 8: [tex]2 \times 3^3[/tex] booksAge 9: [tex]2 \times 3^4[/tex] booksAge 10: [tex]2 \times 3^5[/tex] booksAge 11: [tex]2 \times 3^6[/tex] booksTheir sum is 2187.
Thus, the number of books that we had in out bookcase when we were 11 years old was 2187 books.
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A knitting group used 248 yards of yarn to Knit tassels for snow hats. If 1/2 yard of yarn is used for each tassel,how many tassels did the Knitting group make?
Answers
Answer:
124
Because If u divide 248 by 2 you get 124
8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet
Answers
Answer:
I think the answer would be 79200 feet as 1 miles = 5280 feet
traductor de español
¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas
Respuesta: 79.200.
Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200
Prueba: 5280
x 15
___________
79200
__________________________________
English Translator
Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles
Answer: 79200
Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200
Proof: 5280
x 15
___________
79200
When Grace runs the 400 meter dash, her finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2 seconds. What percentage of races will her finishing time be faster than 79 seconds, to the nearest tenth?
Answers
Answer:
0.07
Step-by-step explanation:
A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.
Answers
Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
4.24 cm
Step-by-step explanation:
pythagorean theorem
a^2+b^2=C^2
3^2+3^2=18
square root of 18 =4.24
hope this helped :)
The math department needs to buy new textbooks and laptops for
the computer science classroom. The textbooks cost $89.00 each, and
the laptops cost $395.00 each.
a. If the math department has $7200 to spend and purchases 60
textbooks, how many laptops can they buy?
b. Suppose the math department decided to purchase 35
textbooks instead of 60. How does this change the number of
laptops that they can buy?
Answers
Answer:
a. 4
b. 10
Step-by-step explanation:
A. If the math department buys 60 textbooks, which are $89 each, we need to multiply 60 by $89 to get the amount that the textbooks will cost. This gives us $5340. Since the math department has $7200 to spend, we subtract 5340 from 7200. This gives us $1860 that the math department has left to spend on laptops. Since the laptops cost $395 each, and we have $1860 to spend, we divide 1860 by 395 to figure out how many laptops they can buy. This is 4.7. Since you can't buy 0.7 of a laptop, they can only buy 4 laptops. The final answer is 4.
B. The math department has $7200 to spend and buys 35 textbooks, which are $89 each. Multiply 35 by 89. This is $3115. Subtract this from $7200 to see how much the department has left to spend. The math department now has only $4085 to spend on laptops, which are $395 each. Divide 4085 by 395. This gives us 10.3. We can't buy 0.3 of a laptop, so they can only buy 10 laptops. The answer is 10.
Answer:
A:$7200-$5340
=$1860
They can buy 4 laptops which will cost $1580 and leave you with $280
B: 35 textbooks will cost $3115, which will leave us with $4085, so we can get 10 laptops
Step-by-step explanation:
Find the coordinate of point X inside segment BE that is 3/4 the
distance from B to E.
Answers
Answer:
i really dont know
Step-by-step explanation:
this is confusing
Charlie wants to order lunch for his friends. He'll order 5 sandwiches and a $3
kid's meal for his little brother. Charlie has $28. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
D A. Answer: $5 or less
B. Answer: $7.66 or less
O C. Inequality: 3x+5<28
OD. Inequality: 3x+5 s 28
O E. Inequality: 5x+3 s 28
OF. Inequality: 5x+3228
Answers
Answer:
A
Step-by-step explanation:
Charlie bought a $3 kids meal so 28-3 is 25. Since he wants to buy sandwiches for 5 people, he'll have to divide 25 / 5 which is 5. So $5 or less.
I just want u guys to check it and see if it is right if it is say it is and if not please correct me and tell me the answer :)
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction Decimal Percent
⅛ 0.125 12.5%
1245/1000 1.245 124.5%
40/100 .4 ⅖ %
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
Answers
The first two values were calculated, but the 0.4 one is wrong.
2/5% would result to 0.4% which is converted to 0.004 so it's wrong.
40/100 would be reduced to 2/5.
2/5 would result to 0.4.
0.4 means 40%.
If the question intentionally gives 2/5%, then you have to compute it all the way back.
2/5% to 0.4% to 0.004 to 4/1000
I have no clue what part is given but you can get the idea where this is going.
The second one depends on the value in question one.
So Good luck!
Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answers
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
A calculator that is regularly priced $20 is on
sale for 40% off. What is the sale price of the
calculator?
Answers
Answer:
$12.00
Step-by-step explanation:
a product that normally costs $20 with a 40 percent discount will cost you $12.00, and you saved $8.00.
Which function has a domain and range that includes all real values?
Answers
You're supposed to post all the photos in a single question. Anyway, this is the one that has a domain and range of all real values.
We can see a domain of all real values -- there's no x that's not included.
We can see the range of all real values -- there's no y that's not included.
Answer:
I think its c...
Step-by-step explanation:
4. A group of friends rents a boat to spend an afternoon on a lake. The boat rental has a flat fee of $180 for up to three hours and $50 per hour for each additional hour. The first four passengers are included in this cost, but $20 is charged for each additional passenger. Write a linear equation to describe this situation, where c is the total cost of the rental, h is each additional hour (over 3) and p is each additional passenger (over 4).
options:
A. c = 230h + 20p
B. c + 180 = 50h + 20p
C. c = 180 + h + p
D. c = 180 + 50h + 20p
Answers
Answer:
it is D c= 180 + 50h + 20p
Step-by-step explanation:
c is the total cost and the boat is 180 but for additional hour it would be +$50
now the first four passenger is free but if another person comes on then it would be +$20 hope this help
The linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D)
What is a linear equation?"It is an equation in which the highest power of the variable is always 1."
For given example,
The boat rental has a flat fee of $180 for up to three hours.
Fixed rental cost = 180 ...............(1)
The boat rental has $50 per hour for each additional hour.
Let, h is each additional hour (over 3)
So, the rental cost for each additional hour = 50h .............(2)
The first four passengers are included in this cost, but $20 is charged for each additional passenger.
Here, p is each additional passenger (over 4)
So, the rental cost for each additional passenger = 20p ..................(3)
From (1), (2) and (3),
the required linear equation would be,
c = 180 + 50h + 20p
Therefore, the linear equation which describes the total cost of the rental is c = 180 + 50h + 20p
The correct option is an option (D).
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Which of the following is the equation of a line in slope-intercept form for a line with slope =1/4 and y-intercept at (0,-1)?
A. y=-1/4x - 1/4
B. y= 1/4x - 1
C. y= 1/4x +1
D. y=4x - 1
Answers
Answer: b.y=1/4x-1
Step-by-step explanation:
Y=mx+b
Y=1/4x-1 because 1/4 is the slope which is what you put in m and -1 is the y-intercept which is where it starts and is what you put in b.
Answer:y=1/4x-1
Step-by-step explanation:
i) A fish tank measures 1m long by 40cm wide and 60cm height.
What is the capacity of the fish tank?
ii) How many litres of water does it take to fill it three quarters full ?
Answers
Answer:
1. The capacity of the water tank = 240 litres
2. So it will take 180 litres to fill it three quarters full.
Step-by-step explanation:
Dimensions of a water tank:
1 Meter=100 CM
Length (l) = 100 cm,
wide (w) = 40 cm,
Depth (h)= 60 cm,
Volume of the tank (V)
LWH
100 cm × 40 cm × 60 cm
240,000 cm³
The capacity of the water tank = 240,000 cm³ / 240 litres
(240,000*3)/4 = 180,000 cm3
So it will take 180 litres to fill it three quarters full.
what is the length of the hypotenuse of a triangle with legs of 8 and 19?
a. 17.2
b. 20.6
c. 297
d. 425
Answers
B
Step-by-step explanation:
Need Help ASAP!!!!!....
Answers
One student says -5 is bigger than -4 and uses money as the analogy: “If I owe $5, I have a bigger debt than if I owe $4.” What is wrong with this argument?
Answers
Answer:
This is a bad argument because when talking about negative numbers, the closer the numbers are to 0, the bigger they are. -4 is closer to 0 than -5, so -4 is the bigger number.
Step-by-step explanation:
Answer:
-5 is not larger than -4.
Step-by-step explanation:
Think of a number line. The absolute value of -5 is 5, meaning -5 is 5 away from 0 to the left. On the other hand, -4's absolute value is 4, meaning -4 is 4 away from 0 to the left. In the money scenario, owing $5 is a bigger debt because the absolute value is larger, not the number itself. Hope this helps!!
Consider the function f(x) = x5 – 3x2 + 5x. Let g(x) = f(–x + 4). Which shows the graphs of f(x) and g(x)
Answers
Answer:
The first graph
Step-by-step explanation:
I think it is the first one because I remember doing this. If this is wrong please forgive me. Have a wonderful day!
First graph shows the function f(x) and g(x).
What is graph?" Graph is representation of the coordinates on the coordinate plane along x-axis and y-axis."
According to the question,
Given function,
[tex]f(x) = x^{5} -3x^{2} +5x\\\\g(x) = f(-x+4)[/tex]
Plot the given functions on the graph we get,
Compare the drawn graph with the given graph.
First graph is same as graph drawn for the function f(x) and g(x).
Hence, we conclude that first graph shows the function f(x) and g(x).
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could someone please help me with this problem?
Answers
Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m = [tex]\frac{20-9}{12-4}[/tex] = [tex]\frac{11}{8}[/tex] → C
A marine biologist is interested in the daily percent intake of a particular nutrient and how it relates to growth of tiger
shrimp. She finds the growth of the tiger shrimp, G, is dependent on the daily percent intake of this nutrient, X, and can be
modeled by the function
Go) = 2 +7x.
Answers
Answer:
See picture attached
Step-by-step explanation:
The missing question is:
Draw the graph of the growth function by plotting its G-intercept and another point.
Given the function:
G(x) = 2 + 7x
its G-intercept is found when variable x is equal to zero.
G(0) = 2 + 7(0) = 2
Then, the G-intercept is point (0, 2)
To graph a line, two points are needed. Replacing x = 1 into the equation, we get:
G(1) = 2 + 7(1) = 9
So, point (1, 9) is on the line. The graph of the function is the line that passes through these two points, as can be seen in the picture attached.
Help. Will mark brainiest
Answers
Answer:
Step-by-step explanation:
The third, fifth and sixth expressions (from the top) are NOT polynomials, and the reason in each case is that the expression has one or more negative powers of x in it.
At Work-It-Out, a gym membership is $50 per month with no registration fee. At Get Fit, the registration fee is $100 and membership costs $30 per month. Which equation could be used to find the number of months, m, for which the total cost of both gyms is the same? 100+30m=50m 50m=30+100m 100+50m=30m 50m=100−30m
Answers
Answer:
Step-by-step explanation:
50x=30x+100
The equation is 100 + 30m = 50m and the no. of months for which total cost of both the gyms will be same is 5 months.
What is a linear equation ?A linear equation is an algebraic equation in which a variable has a highest degree of 1.
According to the given question At Work-It-Out, a gym membership is $50 per month with no registration fee and At Get Fit, the registration fee is $100 and membership costs $30 per month.
Given no. of months is m.
∴ 50m = 30m + 100
50m - 30m = 100.
20m = 100
m = 5.
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in a triangle, what is the 3rd angle measure if the other two angles are each 60
Answers
Explanation: the two other measures add up to 120 degrees. The triangle sum property states that every triangle always adds up to 180 degrees. So, 180 - 120 = 60 degrees. Therefore, the third angle measures 60 degrees.
Find the value of x in each case. Give reasons to justify your solutions!
Q ∈ PR
Answers
Answer:
x = 52 Degrees
Step-by-step explanation:
Welp, here I go again
According to the Exterior Angle theorem Angle R + Angle S = Angle PQS
So simplified that'd be (90 + 34) = x + 72
124 = x + 72
x = 124 - 72
x = 52 Degrees
Triangle G H F is shown. Angle F G H is a right angle. The length of G H is 28 and the length of hypotenuse F H is 40.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle F? Use the law of sines to find the answer.
11.5°
44.4°
68.0°
81.9°
Answers
40/sin(90) = 28/sin(x)
These are two fractions that are equal so we can cross multiply to get:
40 x sin(x) = 28 x sin(90)
Rearranging:
sin(x) = (28 x sin(90))/40
Take inverse sine to find x (the angle)
x = sin^-1(28 x sin(90))/40)
X = 44.4° to 1dp
Lmk if anything’s unclear.
Answer:
44.4
Step-by-step explanation:
right on edge
Which is the best estimate for the sum 2/9 +10/11 ?
A. 0 + 0 = 0
B. 12+12=1
C. 1 + 1 = 2
D. 0 + 1 = 1
Answers
Answer:
D
Step-by-step explanation:
Given the objective function C=3x−2y and constraints x≥0, y≥0, 2x+y≤10, 3x+2y≤18, identify the corner point at which the maximum value of C occurs.
Answers
Answer:
Step-by-step explanation:
Find the maximum value of
C = 3x -2y Objective function
subject to the following constraints.
Constraints
x ≥ 0
y ≥ 0
2x + y ≤ 10 vertex 1 : when x=0 then y=10 (0,10)
3x + 2y ≤ 18 vertex 2 : y=0, then x=6 ( 6,0)
two equations together to determine vertex 3 :
3x+2y = 18
2x+y = 10
x=2, y= 6
The feasible region determined by the constraints is
shown. The three vertices are (0, 10), and (6, 0), (0,9)
and (2,6)
First evaluate C = 3x -2 y at each of the vertices.
At (0, 10): C = 3(0) - 2(10) = -17
At (6, 0): C = 3(6) - 2(0) = 18
At ( 2,6) : C = 3(2) -2(6) = -6
At (0,9) : C = 3(0)-2(9)= -18
the maximum value occur on 18 when x=9 and y=0
Given the objective function is [tex]C=3x-2y[/tex] and the contraints as follows:
[tex]x\geq 0\\ y\geq 0\\ 2x+y\leq 10\\ 3x+2y\leq 18[/tex]
Find the intersecting point of [tex]x=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]x[/tex] in [tex]2x+y=10[/tex].
[tex]2(0)+y=10\\ y=10[/tex]
So, the intersecting point is [tex](0,10)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]2x+y=10[/tex].Substitute 0 for [tex]y[/tex] in [tex]2x+y=10[/tex].
[tex]2x+0=10\\ 2x=10\\ x=5[/tex]
So, the intersecting point is [tex](5,0)[/tex].
Find the intersecting point of [tex]x=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]x[/tex] in [tex]3x+2y=18[/tex].
[tex]3(0)+2y=18\\ 2y=18\\ y=9[/tex]
So, the intersecting point is [tex](0,9)[/tex].
Find the intersecting point of [tex]y=0[/tex] and [tex]3x+2y=18[/tex].Substitute 0 for [tex]y[/tex] in [tex]3x+2y=18[/tex].
[tex]3x+2(0)=18\\ 3x=18\\ x=6[/tex]
So, the intersecting point is [tex](6,0)[/tex].
Find the intesecting point of [tex]2x+y=10,3x+2y=18[/tex].Add [tex]-2[/tex] times [tex]2x+y=10[/tex] to [tex]3x+2y=18[/tex].
[tex]-2(2x+y)+3x+2y=-2(10)+18\\ -4x-2y+3x+2y=-20+18\\ -x=-2\\ x=2[/tex]
Substitute [tex]x=2[/tex] in [tex]2x+y=10[/tex]:
[tex]2(2)+y=10\\ 4+y=10\\y=6[/tex]
So, the intersecting point is [tex](2,6)[/tex].
The origin [tex](0,0)[/tex] is also a intersecting point of [tex]x\geq 0,y\geq 0[/tex].Corner points:
The corner points are the boundary points of the bounded region of the given constraints.
The bounded region of the given constraints is shown below.
From the graph notice that the shaded region is the required bounded region of the given constraints.The boundary points are [tex](0,0),(5,0),(0,9),(2,6)[/tex].Evaluate the objective function [tex]C=3x-2y[/tex]at these boundary points:
At [tex](0,0)[/tex]:
[tex]C=3(0)-2(0)\\C=0[/tex]
At [tex](5,0)[/tex]:
[tex]C=3(5)-2(0)\\C=15[/tex]
At[tex](0,9)[/tex]:
[tex]C=3(0)-2(9)\\C=-18[/tex]
At[tex](2,6)[/tex]:
[tex]C=3(2)-2(6)\\C=6-12\\C=-6[/tex]
From the above calculated values, one can notice that the maximum value of [tex]C[/tex] is 15 and it is obtained at [tex](5,0)[/tex].
Hence, the maximum value of [tex]C[/tex] is 15 occurs at the corner point [tex](5,0)[/tex].
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