20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:
Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.
20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.
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The following set of random numbers represents 20 simulations of three daily
flights from New York to Los Angeles, with 0, 1, 2, or 3 representing a late
departure and 4, 5, 6, 7, 8, or 9 representing an on-time departure. In how
many of the simulations was there an on-time departure for all three flights?
The number of simulations in which was there was an on-time departure for all three flights is; 6
How to carry out number simulations?
We are given;
Number of Simulations = 20
Numbers that represent late departure = 0, 1, 2 or 3
Numbers that represent On-time departure = 4, 5, 6, 7, 8 or 9.
Now, the 20 simulations as seen online are;
339 931 317 444 432 858 194 192 649 709
742 626 702 258 955 880 505 854 774 132
To know the number of simulations that were on-time departure, we need to find the ones that don't include 0, 1, 2 or 3.
Looking at the simulations, the ones that represent on-time departure are 444, 858, 649, 955, 854, 774.
Thus, there are 6 simulations in which was there an on-time departure for all three flights
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Marsha has 132 books.
They are divided
equally between three
shelves. Each book
weighs 0-2 kg.
How much weight
does each shelf
support?
Answer:
Step-by-step explanation:
=132/3
=44 books per shelf
since maximum weight of a book is 2kgs,
=44(2)
=88
3 photos are printed in 1 minute. How many minuted would it take to print 600 photos
Answer:200 minutes
Step-by-step explanation:
1 minute = 60 seconds.
6/3 = 2 (20 seconds) 1 photo every 20 seconds.
600x20 = 12000. seconds.
12000/60 = 200 (200 minutes)
Answer:
200 photos
Step-by-step explanation:
1 min = 3 photos
X min = 600 photos
therefore3 X = 600
X = 600/3
X = 200
como identifico una X Cubica en un polinomio
la componente "cubica" será aquella que tenga un exponente igual a 3.
¿como identifico una X Cubica en un polinomio?
Un polinomio tiene la forma general:
[tex]p(x) = a_n*x^n + ... + a_1*x^1 + a_0[/tex]
Donde todos los exponentes de x son numeros naturales.
Particularmente, la componente "cubica" será aquella que tenga un exponente igual a 3.
Entonces, por ejemplo, en:
[tex]p(x) = 4*x^5 + 2*x^4 + 5*x^3[/tex]
La parte cubica será:
[tex]5*x^3[/tex]
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How would you describe the red paths pictured below? ( The picture above)
A. Perpendicular
B. None are correct
C. Parallel
D. Intersecting
Answer:
perpendicular
Step-by-step explanation:
What is the solution to the system of equation
Answer:
[tex]x=(-2,\frac{5}{3} )[/tex]
Step-by-step explanation:
1) We will use the matrix method to solve this problem.
[tex]\left[\begin{array}{ccc}-2/3&1&3\\1&0&-2\\\end{array}\right][/tex]
2) Swap Row₁ and Row₂ to make row reduction easier.
[tex]\left[\begin{array}{ccc}1&0&-2\\-2/3&1&3\\\end{array}\right][/tex]
3) Apply to Row₂ : Row₂ + [tex]\frac{2}{3}[/tex] Row₁.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\end{array}\right][/tex]
4) Simplify rows.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]
Note: The matrix is now in row echelon form.
The steps below are for back substitution.
5) Apply Row₁ : Row₁ - 0 Row₂.
[tex]\left[\begin{array}{ccc}1&0&-2\0\\0&1&5/3\end{array}\right][/tex]
6) Simplify rows.
[tex]\left[\begin{array}{ccc}1&0&-2\\0&1&5/3\\\end{array}\right][/tex]
Note: The matrix is now in reduced row echelon form.
7) Therefore,
[tex]x=-2\\x=\frac{5}{3}[/tex]
if each element in the input is mapped to one element in the output, then the relation is called as a
Answer:
function
Step-by-step explanation:
16. Out of 119 student, it was found that 16 drink neither coke nor pepsi, 69 drinks coke and 39 drink pepsi. Then a) Show the above information in Venn diagram. b) Find the number of students who drink only one drink.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
50 POINTS AND BRAINLIEST!! PLEASE GIVE AN EXPLANATION. If ray VA-VF-VB and the measure of angle AVF = 32 and the measure of angle FVB = 2x + 9 and the measure of angle AVB = 3x - 4, then find the measure of angle AVB.
The measure of angle AVB = 131 degree .
What is a Ray ?A line with a starting point but extends upto infinity in one direction.
It is given that
Measure of angle AVF = 32
the measure of angle FVB = 2x + 9
the measure of angle AVB = 3x - 4
The angle AVB = AVF + FVB
this can be written as
3x- 4 = 2x+9 +32
x = 32+9+4
x = 45 degree
Therefore the measure of AVB = 3*45-4 = 131 degree
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Use the factorization to find the values of x for which p(x) = 0. (x – 1)(x 1)(x 5) = 0 x – 1 = 0, so x = x 1 = 0, so x = x 5 = 0, so x =
Answer: (x – 1)(x + 1)(x + 5) = 0
x – 1 = 0, so x = 1
x + 1 = 0, so x = -1
x + 5 = 0, so x = -5
Which equation represents the line that is parallel to y= 3 and passes through (-2,-8) ?
Answer:
y = - 8
Step-by-step explanation:
y = 3 is a horizontal line that includes all of the x coordinates
just need to find parallel
y = - 8
Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = rt, how far away is a thunderstorm when you notice a 3- second delay between the flash of lightning and the sound of thunder? Lightning quickly heats the air causing it to expand , which produces the sound of thunder . Sound travels approximately 1 mile in 5 seconds . Knowing D = rt , how far away is a thunderstorm when you notice a 3 second delay between the flash of lightning and the sound of thunder ?
Answer:
every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away
Hope This helps!
f(x) = 3x + 6, find the ordered pair when x = -1.
(-1,-3)
(-1,3)
(-1,-9)
(-1,9)
Answer:
(-1 ; 3)
Step-by-step explanation:
when they say find the ordered pair they simply mean find the corresponding y value when x = -1
* where you see x substitute-1 *
f(-1) = 3(-1) + 6
=3
what is the answer for this please 23÷23
Answer:
1
Step-by-step explanation:
Any number divided by itself equals 1. So, 23 divided by 23 is 1.
What is the range of the function y=-x² +1?
Oys-1
Oy2-1
Oyst
y21
The range of the function is
[tex]y \leqslant 1[/tex]
What is the branch of mathematics developed by isaac newton called today?.
Answer: Calculus.
Step-by-step explanation: He created calculus.
Match each figure to the number of lines of reflection that will reflect the figure onto itself.
The lines of symmetry for all the figures have been determined.
What is Reflection Symmetry ?A symmetry in which one half of the object is symmetrical to thew other half
A square has 4 lines of reflection symmetry , 2 along its sides and 2 along its diagonals
A regular hexagon has 6 reflection symmetry , three along the midpoints of the sides and three along the daigonals
A Trapezium can have 0 or 1 lines of symmetry depending upon the length of the non parallel sides.
An equilateral Triangle has 3 lines of reflection symmetry , an isosceles has 2 lines of symmetry and a scalene triangle has no lines of symmetry.
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Answer:
Step-by-step explanation:
got it right
In question 1, you found the cubes of both positive and negative numbers. Does x3 = 8 have two solutions as x2 = 4 does? Why or why not?
p=f/a, where f=70 and a=20
f is increased by 10
a is increased to by 10
[tex]\huge\underline{ Answer -}[/tex]
Given ,
[tex]\boxed{p = \frac{f}{a} } \\ [/tex]
where ,
the initial values of a and f are -
a = 70
a = 20
To find - value of p if the values of a and f are increased by 10[tex]\therefore \: f = 80 \\ a = 30[/tex]
Then ,
[tex]p = \frac{f}{a} \\ \\ \implies \: p = \cancel{\frac{80}{30} } \\ \\ \implies \: p = \frac{8}{3} = 2.67[/tex]
hope helpful ~
Examine Carmen's plans for rail lines at a train station.
2
(6x + 5)°
X
48%
What is the measure of angle 2? m/2 =
K
m
(7x-4)°
t
The measure of angle 2 is 73.
What is angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
As, angle 1 and 2 are supplementary
<1 + <2 + (6x +5) =180
And, by corresponding angle, <1= 48
So, 48 + <2 + (6x +5)= 180
<2 + (6x +5) = 132
Also x= 9
then, <2 = 132 - 59
<2= 73.
Hence, measure of <2 is 9.
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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies inversely as the square of x, and y
7
when x = 1, find y when x = 3.
3x2 (3)=
--/12
C.
7
27
y =
b.
4x² (3) 7
36
7x2 (3) 4
63
3
y=y(3)
y=
d.
Answer:
k=7,y=2.33 and y=k/x^2
Step-by-step explanation:
y=k/x^2
7=k/1
k=7
y=k/x^2
y=7/3
y=2.33
hope it helpful
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
The graph of f(x) passes the vertical line test.
f(x) is a one-to-one function.
The graph of the inverse of f(x) passes the horizontal line test.
f(x) is not a function.
If g(x) is the inverse of f(x), what is the value of f(g(2))?
–6
–3
2
5
Answer:
1st q answer is f(x) is one- to -one function and 2nd q answer is 2
Answer:
1) f(x) is one - to - one function2) 2Step-by-step explanation:
inverse of f(x)Let f(x) = y
y = 2x - 3
x = y + 3 / 2
inverse of f(x) = x + 3 / 2
g(x) = inverse of f(x)f [g(2)]
f [2+3/2]
f [5/2]
(2×5/2)-3
5-3
= 2
Therefore f [g(2)] = 2Parent Functions
Question 4 of 10
On a piece of paper, graph:
{1 if -1 < x≤0
f(x) = {2 if 0 < x≤1
{3 if 1 < x≤2
Then determine which answer choice matches the graph you drew.
The graph of the parent function is given below;
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, the given function is;
1, if -1<x≤0
f(x) = 2, if 0<x≤1
3, if 1<x≤2
Now, the graph of given function is given below.
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Answer:
The correct graph is in the image below
Step-by-step explanation:
Which expression is the simplest form of 2x^3 - x^2 + 3 (x^3 - 4x^2)
The simplest form of the given expression is 5x^3-5x^2.
We have given that
[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)[/tex]
We have to determine the simplest form of the given expression.
What is the distributive property?
The distributive property of binary operations generalizes the distributive law, which asserts that equality is always true in algebra. elementary.
Use the distributive property we get,
[tex]2x^3 - x^2 + 3 (x^3 - 4x^2)\\=2x^3 - x^2 +3x^3-12x^2\\[/tex]
Add like terms we get,
Therefore we get,
[tex]=5x^3-5x^2[/tex]
Therefore the simplest form of the given expression is 5x^3-5x^2.
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find the y intercept
Answer:
(0,-2)
Step-by-step explanation:
y intercept is that line that intercepts with the y axis
when x is 0 then y value.
Solve the inequality for x and identify the graph of its solution.
|x+ 2|>2
Answer:
A. x < -4 or x > 0Step-by-step explanation:
[tex]|x+2| > 2\iff x+2 > 2\ \vee\ x+2 < -2[/tex]
subtract 2 from both sides
[tex]x > 0\ \vee\ x < -4[/tex]
A sample of 50 11th graders were asked to select a favorite pattern out of 6 choices. The data list below shows what their favorite color patterns were, and the accompanying frequency table and bar graph represent these data. In the bar graph, the height of the blue-gray bar is 4, the height of the green bar is 9, and so on.
Suppose that, rather than being just a bar graph, the display you see above is a relative frequency bar graph. The vertical axis of the graph will be marked off in percentages, from 0 percent up to 30 percent. What will be the height of the green bar?
A.
15
B.
25
C.
9
D.
18
Answer:
D 18
Step-by-step explanation:
100% = 50 (all students)
1% = 100%/100 = 50/100 = 1/2 = 0.5
we get any percentage for any number by dividing the number by 1% (0.5) to see how often it fits in.
there are 9 votes for green.
9/ 0.5 = 18%
!!!!PLEASE HELP FAST !!!!
Solve each discrete exponential growth/decay problem. A country pledges to
reduce its CO2 emissions by 3.9% per year. If the emissions in 2022 are 5,160 Mt
(metric megatons), what are the maximum allowable emissions in the year 2030?
A) 5160 0.844≈ 1,329 Mt
B) 5160-0.961 = 3,754 Mt
C) 10320-0.961 = 7,507 Mt
D) 5160-0.99=4,761 Mt
Answer:
C) 10320-0.961 = 7,507 Mt
that is my answer please have a great day
Does this graph represent a function? Why or why not?
10.
8
6
4
2
-10 8 6 4 2
88
-8
10
2468 10
A. No, because it fails the vertical line test.
O B. No, because it is not a straight line.
OC. Yes, because it passes the horizontal line test.
OD. Yes, because it passes the vertical line test.
Answer:
D.) Yes, because it passes the vertical line test.
Step-by-step explanation:
For a function to be a function, there must be one output for every input. IN other words, there must be one "y" value for every "x" value. One can see if a graph passes this test by performing the vertical line test.
In this case, the line on the graph passes the test and represents a function. Again, this is because each "x" value has only one "y" value.
Yes, The graph is function because it passes the vertical line test.
We have to given that,
A graph of function is shown in image.
Since, A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
And, The vertical line test is used to determine if a graph of a relationship is a function or not. if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Hence, By given graph,
it passes the vertical line test.
So, Graph shown is a function.
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PLS HELP!!
Find the zeros of y=x² - 6x-4 by completing the square.
O A. x= 3± √13
OB. x = 3± √5
O C. x = -3± √13
OD. x = ±3
Answer:
A
Step-by-step explanation:
y = x² - 6x - 4
(x - 3)² - 3² - 4 = 0
(x - 3)² - 13 = 0
(x - 3)² = 13
x - 3 = ±√13
x = 3 ± √13
