People at the concession stand as input Cost of their order's output.
(1) The relation in question is a function.
(II) This function is not constant. (Each category of concession has a different order cost.)
Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)
A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.
The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.
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The perimeter of the rectangle below is 202 units. Find the value of x.
5x +3
4x - 1
Please Help 8x + 1
115⁰
Both the angles are supplementary angles hence the value of x is 8°.
To solve for the value of x in the given scenario, we can use the fact that the interior angles between two parallel lines are supplementary, meaning they add up to 180 degrees.
Given:
Angle 1: (8x + 1)
Angle 2: 115°
Since these two angles are supplementary, we can set up the equation:
(8x + 1) + 115 = 180
Now we can solve for x by simplifying and isolating the variable:
8x + 1 + 115 = 180
8x + 116 = 180
8x = 180 - 116
8x = 64
To isolate x, we divide both sides of the equation by 8:
8x/8 = 64/8
x = 8
Therefore, the value of x is 8.
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A jug contains 36 fluid ounces of apple juice. How many pints of apple juice does the jug contain?
Answer: There are 16 fluid ounces in 1 pint. To determine the number of pints in the jug, we need to divide the total number of fluid ounces by 16.
Given that the jug contains 36 fluid ounces of apple juice, we divide 36 by 16:
36 fluid ounces ÷ 16 fluid ounces/pint = 2.25 pints
Therefore, the jug contains 2.25 pints of apple juice.
(~Q → P) ⋀ ~P
Truth Table
| P | Q | ~Q | ~Q → P | ~P | (~Q → P) ⋀ ~P |
|---|---|----|--------|----|----------------|
| T | T | F | T | F | F |
| T | F | T | T | F | F |
| F | T | F | T | T | T |
| F | F | T | F | T | F |
To construct a truth table for the logical statement (~Q → P) ⋀ ~P, we need to consider all possible truth values for the variables Q and P. The symbol "~" represents negation or "not" in logic, so ~Q denotes "not Q" and ~P denotes "not P".
In the above table, we first list all possible truth values for P and Q and then determine the truth values for ~Q, ~Q → P, and ~P based on these values. Finally, we evaluate the logical statement (~Q → P) ⋀ ~P based on the truth values for (~Q → P) and ~P to determine the overall truth value of the statement for each combination of P and Q.
The output of the above truth table shows that the statement (~Q → P) ⋀ ~P is true only in one case when P is false and Q is true. In all other cases, the statement is false. Therefore, we can infer that the statement is not always true and hence it is not a tautology. The statement is only true in one specific case where P is false and Q is true.
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WILL GIVE BRAINLIEST FOR THE CORRECT ANSWER!!
What scale factor was applied to the first rectangle to get the resulting image?
Enter your answer as a decimal in the box.
Answer:
2.5
Step-by-step explanation:
the length has increased by 7.5/3 = 2.5.
so the scale factor is 2.5
a rocket is launched in the air. Its height in feet is given by h=-16t^2+128t where t represents the time in seconds after launch. What is the appropriate domain for this solution?
The quadratic function has the following domain: 0 ≤ t ≤ 8.
How to find the domain of a quadratic equation
Herein we find a quadratic equation that models the height of the rocket in time. The domain is the set of all values of t such that all values of h exist.
Mathematically speaking, the domain of quadratic equations is the set of all real numbers, but physically speaking, this domain is formed by the set of all non-negative numbers such that h ≥ 0. The domain is found by algebra properties:
h = - 16 · t² + 128 · t
h = - 16 · t · (t - 8)
Then, the domain of the quadratic function is: 0 ≤ t ≤ 8.
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3. (1) The population of a city was 1,20,000 in the year 2078 and the population growth rate was 4.5% 20,000 people migrated here from other places in the year 2079
(a) Find the population reached in the year 2079.
(b) What will be the total population in the year 2081?
The population reached in the year 2079 is 1,65,400 and the total population in the year 2081 would be 1,80,623.
To find the population reached in the year 2079, we need to consider the initial population and the growth rate, as well as the number of people who migrated.
The initial population in 2078 was 1,20,000. The population growth rate is 4.5%, which means the population will increase by 4.5% each year.
To calculate the population in 2079, we first need to calculate the increase in population due to the growth rate:
Population increase due to growth rate = 1,20,000 * (4.5/100) = 5,400
Then we add the number of people who migrated:
Total population in 2079 = Initial population + Population increase due to growth rate + Number of migrants
= 1,20,000 + 5,400 + 20,000
= 1,45,400 + 20,000
= 1,65,400
To calculate the total population in the year 2081, we need to consider the growth rate and the population in 2080.
The population in 2080 would be the population in 2079 plus the population increase due to the growth rate:
Population increase due to growth rate in 2080 = 1,65,400 * (4.5/100) = 7,444
Total population in 2080 = 1,65,400 + 7,444
= 1,72,844
To calculate the total population in 2081, we need to consider the growth rate and the population in 2080:
Population increase due to growth rate in 2081 = 1,72,844 * (4.5/100) = 7,779
Total population in 2081 = Population in 2080 + Population increase due to growth rate in 2081
= 1,72,844 + 7,779
= 1,80,623
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In the figure below, k || 1 and m II n. Find the values of x and y.
xo
(Sy-98)
#
77°
X =
y=
x+77=180
x=180-77=103°
x+5y-98=180
=> 103+5y-98=180
=> 5y=180-5
=> y=175/5=35°
Lorri had a gross income of $3256.15 during each pay period in 2010. If she got paid monthly, how much of her pay was deducted for FICA in 2010?
can someone answer the ones i got wrong please
When a student is selected at random, the solution for the various possible outcome would be given below as follows:
p(pass or did not study)=0.409
p(pass or did study)=0.312
p(fail and pass)= 0.201
p(pass or fail)= 1
How to calculate the possible outcome of the following given event?The formula that is used to calculate probability = possible outcome/sample space.
The total number of scores of the statistics students = 93
For p(pass or did not study):
possible outcome = 38
sample size = 93
probability = 38/93 = 0.409
For p(pass or did study):
possible outcome = 29
sample size = 93
probability = 29/93 = 0.312
For p(fail and pass):
p(fail) = 26/93
p(pass) = 67/93
probability = 26/93× 67/93
= 1742/8649
= 0.201
For p(pass or fail);
P(pass) = 67/93
P(fail) = 26/93
Probability of pass or fail = 67/93+26/93
= 93/93 = 1
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What is the area of the figure? In Units
Answer:
Area = 40
Perimeter = 26
Step-by-step explanation:
length = 8
width = 5
Area = 8 x 5 = 40
Perimeter = 2(8 + 5) = 26
Any idea.???????
Here are four shapes
Rhombus and equilateral triangle will fit in regular circle and rectangle will fit in quadrilateral circle.
A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets. A Venn diagram typically uses intersecting and non-intersecting circles (although other closed figures like squares may be used) to denote the relationship between sets.
Here, rhombus and equilateral triangle are regular, and rectangle and triangle are not regular.
Therefore, rhombus and equilateral triangle will fit in regular circle and rectangle will fit in quadrilateral circle.
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What is the volume of the prism?
A prism has hexagon bases with each side 12 centimeters. From the side of the base to the center of the base is 10 centimeters. The height of the prism is 9 centimeters.
Answer: 1080
Step-by-step explanation:
12x10x9=1080
Hoped this helped?!
PLEASE HELP ONLY QUESTION 8 PLEASE !! :)
Answer:
150
Step-by-step explanation:
4. The ratio of the length of the corresponding side of two
regular polygons is 3:4. The area of the larger polygon is
320 m². What is the area of the smaller polygon?
A-240 m²
B-427 m²
C-569 m²
D-180 m²
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The area of the kite is 38 mm squared.
How to find the area of a kite?A kite is a quadrilateral with two pairs of adjacent sides equal. The diagonals of a kite are perpendicular. The vertex angle are bisected by the diagonals.
It has two pairs of consecutive equal sides and perpendicular diagonals.
Therefore,
area of a kite = ab / 2
where
a and b are the diagonalsTherefore,
a = 9.5 mm
b = 4 mm
Therefore,
area of a kite = 9.5 × 4 / 2
area of a kite = 38 / 2
area of a kite = 19 mm²
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Answer:
The area of the kite would be 19 mm².
Step-by-step explanation:
A kite is a quadrilateral with two pairs of equal-length adjacent sides. The diagonals of a kite are perpendicular to each other and intersect at a right angle, dividing the kite into four right triangles. The area of a kite can be calculated by finding the product of the lengths of its diagonals and dividing it by 2.
If we assume that the height and width you provided are the lengths of the diagonals, we can calculate the area using the following formula:
Area = (height * width) / 2
Substituting the given values:
Area = (9.5 mm * 4 mm) / 2
= 38 mm² / 2
= 19 mm²
Therefore, if the height and width represent the lengths of the diagonals, the area of the kite would be 19 square millimeters.
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Select all of the words for which the probability of selecting the letter A at random is 13
Responses
CAB
CAB
ANT
ANT
BANK
BANK
ALPINE
ALPINE
ABOARD
ABOARD
ABRASIONS
ABRASIONS
BASEBOARDS
The words for which the probability of selecting the letter A at random is 1/3 are:
a) CAB
b) ANT
c) ABOARD
Given data ,
Let the probability of selecting the letter A at random be P ( A ) = 1/3
Now , the number of letters in the words CAB are = 3
The number of A's in the word CAB = 1
So , the probability is P ( A ) = 1/3
Now , Now , the number of letters in the words ANT are = 3
The number of A's in the word ANT = 1
So , the probability is P ( A ) = 1/3
And , Now , the number of letters in the words ABROAD are = 6
The number of A's in the word ABROAD = 2
So , the probability is P ( A ) = 2/6 = 1/3
Hence , the probability is solved
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Does 10, 15, 18 equal a right triangle
Answer:
Not a right triangle
Step-by-step explanation:
[tex]10^2+15^2\stackrel{?}{=}18^2\\100+225\stackrel{?}{=}324\\325\neq324[/tex]
As the sides of the triangle do not follow the Pythagorean Theorem, then the triangle is not a right triangle.
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer: A = 83.75
Step-by-step explanation:
A=a+b
2h=12.5+21
2·5=83.75
Please help me with the 2 math questions and please include an explanation as well. Thank you!
I will delete answers that incomplete or has no explanation.
Answer:
13) 4.9 m
14) 0.9 m
Step-by-step explanation:
Question 13The given diagram shows the height of the same cactus plant a year apart:
Year 1 height = 1.6 mYear 2 height = 2 mWe are told that the cactus continues to grow at the same percentage rate. To calculate the growth rate per year (percentage increase), use the percentage increase formula:
[tex]\begin{aligned}\sf Percentage \; increase &= \dfrac{\sf Final\; value - Initial \;value}{\sf Initial \;value}\\\\&=\dfrac{ 2-1.6}{1.6}\\\\&=\dfrac{0.4}{1.6}\\\\&=0.25\end{aligned}[/tex]
Therefore, the growth rate of the height of the cactus is 25% per year.
As the cactus grows at a constant rate, we can use the exponential growth formula to calculate its height in Year 6.
[tex]\boxed{\begin{minipage}{7.5 cm}\underline{Exponential Growth Formula}\\\\$y=a(1+r)^t$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value. \\ \phantom{ww}$\bullet$ $r$ is the growth factor (in decimal form).\\ \phantom{ww}$\bullet$ $t$ is the number of time periods.\\\end{minipage}}[/tex]
The initial value is the height in Year 1, so a = 1.6.
The growth factor is 25%, so r = 0.25.
As we wish to calculate its height in Year 6, the value of t is t = 5 (since there are 5 years between year 1 and year 6).
Substitute these values into the formula and solve for y (the height of the cactus):
[tex]\begin{aligned}y&=a(1+r)^t\\&=1.6(1+0.25)^5\\&=1.6(1.25)^5\\&=1.6(3.0517578125)\\&=4.8828125\\&=4.9\; \sf m\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, if the cactus continues to grow at the same rate, its height in Year 6 will be 4.9 meters (to the nearest tenth).
Check by multiplying the height each year by 1.25:
Year 1 = 1.6 mYear 2 = 1.6 × 1.25 = 2 mYear 3 = 2 × 1.25 = 2.5 mYear 4 = 2.5 × 1.25 = 3.125 mYear 5 = 3.125 × 1.25 = 3.09625 mYear 6 = 3.09625 × 1.25 = 4.8828125 m[tex]\hrulefill[/tex]
Question 14The given diagram shows the height of the same snowman an hour apart:
Initial height = 1.8 mHeight after an hour = 1.53 mWe are told that the snowman continues to melt at the same percentage rate. To calculate the decay rate per hour (percentage decrease), use the percentage decrease formula:
[tex]\begin{aligned}\sf Percentage \; decrease&= \dfrac{\sf Initial\; value - Final\;value}{\sf Initial \;value}\\\\&=\dfrac{1.8-1.53}{1.8}\\\\&=\dfrac{0.27}{1.8}\\\\&=0.15\end{aligned}[/tex]
Therefore, the decay rate of the snowman's height is 15% per hour.
As the snowman melts at a constant rate, we can use the exponential decay formula to calculate its height after another 3 hours.
[tex]\boxed{\begin{minipage}{7.5 cm}\underline{Exponential Decay Formula}\\\\$y=a(1-r)^t$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value. \\ \phantom{ww}$\bullet$ $r$ is the decay factor (in decimal form).\\ \phantom{ww}$\bullet$ $t$ is the number of time periods.\\\end{minipage}}[/tex]
The initial value is the snowman's initial height, so a = 1.8.
The decay factor is 15%, so r = 0.15.
As we wish to calculate the snowman's height after another 3 hours, the value of t is t = 4 (i.e. the first hour plus a further 3 hours).
Substitute these values into the formula and solve for y (the height of the snowman):
[tex]\begin{aligned}y&=a(1-r)^t\\&=1.8(1-0.15)^4\\&=1.8(0.85)^4\\&=1.8(0.5220065)\\&=0.93961125\\&=0.9\; \sf m\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, if the snowman continues to melt at the same rate, its height after another 3 hours will be 0.9 meters (to the nearest tenth).
Check by multiplying the height each hour by 0.85:
Initial height = 1.8 mHeight after 1 hour = 1.8 × 0.85 = 1.53Height after 2 hours = 1.53 × 0.85 = 1.3005Height after 3 hours = 1.3005 × 0.85 = 1.105425Height after 4 hours = 1.105425 × 0.85 = 0.93961125HELP !!! URGENTTTTT PLS ANSWER!!!
Answer: z=3
Step-by-step explanation:
In the figure below, S is the center of the circle. Suppose that JK = 20, LM = 3x + 2, SN = 12, and SP = 12. Find the
following.
The values from figure is,
x = 2
NS = 3.5
We have to given that,
In the figure below, S is the center of the circle.
And, Suppose that JK = 16, MP = 8, LP = 2x + 4, and SP = 3.5.
Now, We know that,
By figure,
MP = LP
Substitute the given values,
8 = 2x + 4
8 - 4 = 2x
4 = 2x
x = 4/2
x = 2
Hence, We get;
LM = MP + LP
LM = 8 + (2x + 4)
LM = 8 + 2 x 2 + 4
LM = 8 + 4 + 4
LM = 16
Since, We have JK = 16
Hence, We get;
NS = SP
This gives,
NS = 3.5
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A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
Please answer these questions by today
41.
Out of the 18 parts, we shade 5 parts
Out of the 27 parts, we shade 4 parts
42.
There are 60 pieces.
43.
The fractional part for each person.
44.
10(1/2), 1/21, 2(14/15), and 18.
We have,
41.
a.
1/3 x 5/6
= 5/18
This means,
Out of the 18 parts, we shade 5 parts
b.
2/9 x 2/3
= 4/27
This means,
Out of the 27 parts, we shade 4 parts
42.
String = 15 feet
Length of each piece = 1/4 feet
Now,
The number of 1/4 feet pieces.
= 15/(1/4)
= 15 x 4
= 60 pieces
43.
Original pizza = 1
Half pizza = 1/2
Number of people = 3
Now,
The fractional part for each person.
= 1/2 ÷ 3
= 1/6
44.
a.
7/6 x 9
= 7/2 x 3
= 21/2
= 10(1/2)
b.
1/7 ÷ 3
= 1/(7 x 3)
= 1/21
c.
4/5 x 3(2/3)
= 4/5 x 11/3
= 44/15
= 2(14/15)
d.
2 ÷ 1/9
= 2 x 9/1
= 18
Thus,
41.
Out of the 18 parts, we shade 5 parts
Out of the 27 parts, we shade 4 parts
42.
There are 60 pieces.
43.
The fractional part for each person.
44.
10(1/2), 1/21, 2(14/15), and 18.
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In the year 2000, population
In the year 2000, it was estimate that the population of the world was 6, 082, 966, 429 people.
What was the world population in 2000 ?Based on data provided by the table give, the global population in the year 2000 was estimated to be around 6, 082, 966, 429 individuals. This remarkable figure, serving as a testament to the expansive tapestry of humanity, reflects the vastness and intricacy of our interconnected world during that period.
Within the context of demographic analysis, the United Nations diligently compiled and analyzed extensive data to derive this population estimate for statistical reasons.
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The full question is:
In the year 2000 the world population was
Define the variables
a. The variables are x and y which represents 2 shots and 3 shots respectively.
b. The system of equations are;
x + y = 11
2x + 3y = 29
What are the variables to this problem?a. Let's define the variables to write the system of equations:
Let x be the number of two-point shots Noah made.
Let y be the number of three-point shots Noah made.
b. We can write a system of equations that model this problem.
Equation 1: x + y = 11
This equation represents the total number of shots Noah made, which is 11.
Equation 2: 2x + 3y = 29
This equation represents the total number of points Noah scored, which is 29. Since each two-point shot is worth 2 points and each three-point shot is worth 3 points, we can multiply the number of two-point shots (x) by 2 and the number of three-point shots (y) by 3 and sum them up to get the total score of 29.
The system of equations that can be used to determine the number of two-point shots Noah made and the number of three-point shots he made is:
x + y = 11
2x + 3y = 29
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Help me please!!! what is the volume of this figure? I will mark you brainliest!
The volume of the trapezoidal prism is 420 cm³
What is volume?Volume is the amount of space that is occupied by a three dimensional shape or object.
The volume of a trapezoidal prism is the product of the base area and its height.
For the trapezoidal prism:
Area of base = (1/2)(15 + 5) * 7 = 70 cm²
Volume of Prism = Area of base * height = 70 cm² * 6 cm = 420 cm³
The volume of the figure is 420 cm³
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Write a sine function with an amplitude of 5, a period of
Pi/8,and a midline at y = 7.
f(x) = 4sin(8x) + 5
f(x) = 5sin(16)+7
f(x) = 5sin(16x) + 4
f(x) = 4sin(8x) + 7
Answer:
[tex]\textsf{B)} \quad f(x) = 5 \sin (16x) + 7}[/tex]
Step-by-step explanation:
The sine function is periodic, meaning it repeats forever.
Standard form of a sine function[tex]\boxed{f(x) = A \sin (B(x + C)) + D}[/tex]
where:
A is the amplitude (height from the midline to the peak).2π/B is the period (horizontal distance between consecutive peaks).C is the phase shift (horizontal shift - positive is to the left).D is the vertical shift (y = D is the midline).Given values:
Amplitude, A = 5Period, 2π/B = π/8Phase shift, C = 0Vertical shift, D = 7Calculate the value of B:
[tex]\dfrac{2\pi}{B}=\dfrac{\pi}{8}\implies 16\pi=B\pi\implies B=16[/tex]
Substitute the values of A, B C and D into the standard formula:
[tex]f(x) = 5 \sin (16(x + 0)) + 7[/tex]
[tex]f(x) = 5 \sin (16x) + 7[/tex]
Therefore, the sine function with an amplitude of 5, a period of π/8, and a midline at y = 7 is:
[tex]\Large\boxed{\boxed{f(x) = 5 \sin (16x) + 7}}[/tex]
Circle the error in the problem and rewrite what the correct step should be
The error in the problem is given by the equation in step(3). and the value is given by g ( x ) = 2x² + 4x - 4
Given data ,
Let the equation be represented as g ( x )
Now , the value of g ( x ) is
g ( x ) = 2 ( x + 1 )² - 6
On simplifying the equation , we get
From the distributive law of multiplication , we get
g ( x ) = 2 ( x + 1 ) ( x + 1 ) - 6
g ( x ) = 2 ( x² + 2x + 1 ) - 6
On further simplification , we get
g ( x ) = 2x² + 4x + 2 - 6
g ( x ) = 2x² + 4x - 4
Therefore, the value of g ( x ) is g ( x ) = 2x² + 4x - 4
Hence , the equation is g ( x ) = 2x² + 4x - 4
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PLS HELP WILL GIVE BRAINLIEST IF CORRECT (NO LINKS)
Find the measure of arc BC.
Answer: A 129
Step-by-step explanation:
Because the 2 chords are the same (lines in the circle), the 2 arcs are the same create an equation that makes them equal
3x+24 = 4x -11 >bring x to one side by subtracting both sides by 3x
24 = x -11 > add both sides by 11
35 = x
Now that we have solved for x you need to plug that back into the equation for BC
BC= 4x-11
BC = 4(35) - 11
BC = 140 - 11
BC = 129 >A