Answer:
the ham is the least expensive, the roast beef is most expensive
Step-by-step explanation:
hope this helps.
It took Theo 18 minutes to count his cards and he finished at 4:45
p.m. What time did Theo start counting?
4:27
Step-by-step explanation:
just subtract 45 and 18. common sense
In each diagram, line f is parallel to line g, and line t intersects lines f and g
In each diagram, line f is parallel to line g, and line t intersects both lines f and g. The given information suggests the application of certain geometric properties and relationships.
Firstly, when a transversal line (line t) intersects two parallel lines (lines f and g), it creates several pairs of corresponding angles.
Corresponding angles are congruent, meaning they have equal measures. This property can be used to determine the measures of specific angles in the diagram.
Secondly, when a transversal intersects parallel lines, it also creates alternate interior angles and alternate exterior angles.
Alternate interior angles are congruent, as well as alternate exterior angles.
By utilizing these properties and relationships, one can analyze the diagram and determine the measures of various angles.
It is important to measure angles systematically and compare them to find congruent or equal measures.
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g the following data represents the age of 30 lottery winners. 242627272930 333437384041 424751535455 565658606064 686869707181 complete the frequency distribution for the data. agefrequency 20-29 30-39 40-49 50-59 60-69 70-79 80-89
The final frequency distribution is:
Age. Frequency
20-29 0
30-39 4
40-49 5
50-59 7
60-69 8
70-79 1
Frequency Distribution of Lottery WinnersTo complete a frequency distribution, we need to count how many times each age range appears in the data. The age ranges are determined by the given categories (20-29, 30-39, etc.).
Starting with the first category, 20-29:
No one in the data has an age in this range, so the frequency is 0.
Next, 30-39:
4 people have an age in this range (30, 33, 34, 37). The frequency is 4.
Continuing with the other categories:
40-49: 5 (38, 40, 41, 42, 47)
50-59: 7 (51, 53, 54, 55, 56, 56, 58)
60-69: 8 (60, 60, 64, 68, 68, 69, 70, 71)
70-79: 1 (81)
So the final frequency distribution is:
Age. Frequency
20-29 0
30-39 4
40-49 5
50-59 7
60-69 8
70-79 1
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My checking account balance was $443 on February 1st and $872 on February 7th. Show the rate of change
Answer:
$61.29 per day.
Step-by-step explanation:
Checking account balance on February 1st: $443
Checking account balance on February 7th: $872
Difference in balances: $872 - $443 = $429
Number of days between February 1st and February 7th: 7 days
Rate of change = Difference in balances / Number of days
Rate of change = $429 / 7 days
To find the rate of change per day, divide the difference in balances by the number of days:
Rate of change = $429 / 7 days ≈ $61.29 per day
Therefore, the rate of change in your checking account balance during that period was approximately $61.29 per day.
Two identical trains, each with 31 cars, are traveling in opposite directions. When car Number 19 of one train is opposite car Number 19 of the other, which car is opposite car Number 12?
Car 12 of Train B is also 12 cars away from Car 19 on Train B.
How to explain the informationSince each train boasts 31 cars, we can ascertain the total amount of vehicles between Car 19 and Car 12 on Train A:
31 - 19 = 12
Thus, Car 12 on Train A is a dozen units distant from Car 19 on Train A.
Nevertheless, Train B is furthermore moving in an inverring direction and has its exclusive set of automobiles between Car 19 and Car 12. We comprehend that the matching figure of cars must be amongst Car 19 and Car 12 on Train B as with Train A.
In essence, Car 12 of Train B is also 12 cars away from Car 19 on Train B.
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S_pyt14 S N A P..............LOL
Answer:
ok
Step-by-step explanation:
ok
Answer:
Oh snap
Step-by-step explanation:
Thanks for the free points, have a nice day! (^-^)
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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Perform the indicated operation
Answer:
(g o h)(t) = -4t² - 16t + 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Composition of functionsStep-by-step explanation:
Step 1: Define
g(t) = -4t + 3
h(t) = -t² + 4t
(g o h)(t) = g(h(t))
Step 2: Find
Substitute: (g o h)(t) = -4(t² + 4t) + 3Distribute -4: (g o h)(t) = -4t² - 16t + 3And we have our final answer!
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
The following segmented bar chart shows the number of flights that were either on time or delayed at three different airports on one day.
Which of the following statements is supported by the bar chart?
A Airport T has the greatest percentage of on-time flights compared to the other two airports.
B Airport R has the least percentage of on-time flights compared to the other two airports.
C The number of on-time flights at Airport S is half the number of on-time flights at Airport T.
D The number of on-time flights at Airport R is less than the number of on-time flights at Airport S.
E The number of flights at Airport T is equal to the total number of flights at Airports R and S combined.
Answer C
Correct. Airport S has 100 on-time flights, and Airport T has 200 on-time flights. Since 100 is one-half of 200, Airport S has one-half the number of on-time flights that Airport T has.
The solution is Option C.
The number of on-time flights at Airport S is half the number of on-time flights at Airport T
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
For Airport R
The total number of flights at Airport R = 150
The number of on time flights at Airport R = 100
The number of delayed flights at Airport R = 50
For Airport S
The total number of flights at Airport S = 200
The number of on time flights at Airport S = 100
The number of delayed flights at Airport S = 100
For Airport T
The total number of flights at Airport T = 500
The number of on time flights at Airport T = 200
The number of delayed flights at Airport T = 300
Now , the equation will be
The number of on time flights at Airport T = 2 x The number of on time flights at Airport S
Substituting the values in the equation , we get
The number of on time flights at Airport T = 2 x 100
The number of on time flights at Airport T = 200
Hence , the number of on time flights at Airport S = 1/2 The number of on time flights at Airport T
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2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?
The numbered spot at which all the runners will be next to one another is spot 19.
What is the LCM?Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.
Starting with the runner on the outside track, the provided parameters are;
The runner covered n₁ = 5 places on the outside track, which is the number of spaces.
Next, the inner runner will traverse n₂ spaces, which equals one space.
The following inner runner will cover n₃ = 3 spaces.
The subsequent runner will traverse n₄ = 2 spaces.
The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.
LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.
Time = 30/ = 6
Consequently, when the first runner has covered 30 places, we have;
Six time units have been expended.
The runner comes to a stop at position 30- (30 -19) = Position 19.
First runner's new destination is Spot 19.
The distance covered simultaneously by runner 2 is 6 x 1 = 6.
The distance covered by two runners running simultaneously equals six spaces.
Second runner's new position: 6 spaces plus spot 13 equals spot 19.
The combined distance covered by the three runners is 6 x 3 = 18.
The distance runner 3 covers 18 spaces simultaneously.
Third runner's new position: 18 spaces + Spot 1 = 19 spaces
Runner 4 covers a distance of 6 x 2 = 12 at the same time.
Distance runner 4 journeys equals 12 spaces
Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.
Therefore, all the runners will be next to one another is spot 19.
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A 6 inch pizza has 610 calories, with 249 of those from fat. A 16 inch pizza is cut into 8 slices . Estimate the number of calories in one slice of 16 inch pizza.
Answer:
Step-by-step explanation:
.In this case (16)2 / (6)2 or 7.1111The larger pizza has (7.1111)(610) calores
Answer:
To solve this problem, we first need to understand that the number of calories in a pizza doesn't depend on its diameter but on its area. The reason is simple: the more pizza there is, the more calories it contains. And the area of a pizza (or any circle) increases with the square of the radius.
The area of a circle is given by the formula πr^2, where r is the radius.
The 6-inch pizza has a radius of 3 inches, so its area is π(3^2) = 9π square inches.
The 16-inch pizza has a radius of 8 inches, so its area is π(8^2) = 64π square inches.
The 16-inch pizza is 64π/9π = 64/9 ≈ 7.11 times the area of the 6-inch pizza, and therefore should have roughly 7.11 times the calories, assuming the pizzas are made with the same proportions of ingredients.
So, the 16-inch pizza should have approximately 610 calories * 7.11 = 4337.1 calories.
If the 16-inch pizza is cut into 8 slices, each slice would have approximately 4337.1 calories / 8 = 542.14 calories.
Keep in mind this is an estimate as it assumes that the distribution of ingredients (and therefore the distribution of calories) is uniform across the pizza, which might not be the case in reality. But it gives a good first approximation.
The cross-section of the prism below is an equilateral triangle.
a) What is the area of the shaded face?
b) How many rectangular faces does the prism have?
c) What is the total area of these rectangular faces?
(shape is below in the attached picture)
Answer:
a) (9 cm)(7 cm) = 63 cm²
b) This prism has three rectangular faces.
c) 3(63 cm²) = 189 cm²
The polygon given below is a regular pentagon.
A. 54°
B. 108°
C. 135°
D. 540°
Answer:
Step-by-step explanation:
In a regular pentagon, all the angles and sides are equal. So, to find an angle, divide 540 by 5.
Sum of all angles of regular pentagon = 540
measurement of one angle = 540 ÷ 5
= 108°
∠N = 108°
Answer:
B
Step-by-step explanation:
what is 67% of 89.5?
Answer:
59.96
Step-by-step explanation:
when 67% if 89.5 is expressed in numbers,
\(\frac{67}{100}*89.5\\ \frac{5996.5}{100}\\ =59.96\)
A rain gutter is made from sheets of
aluminum that are 24 inches wide by
turning up the edges to form right
angles. Determine the depth of the
gutter that will maximize its cross-
sectional area and allow the greatest
amount of water to flow. What is the
maximum cross-sectional area?
Flat sheet 24 inches wide
1 Write a quadratic function for the Area in terms of x: A(x) =
2 The cross-sectional area is maximized when the depth of the gutter is
3 The maximum cross-sectional area is square inches.
1. The quadratic function for the Area in terms of x: A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is 0.
3. The maximum cross-sectional area is square inches 0.
To determine the depth of the gutter that maximizes its cross-sectional area and allows the greatest amount of water to flow, we need to follow a step-by-step process.
1. Write a quadratic function for the area in terms of x:
The cross-sectional area of the gutter can be represented as a rectangle with a width of 24 inches and a depth of x. Therefore, the area, A(x), is given by A(x) = 24x.
2. The cross-sectional area is maximized when the depth of the gutter is:
To find the value of x that maximizes the area, we need to find the vertex of the quadratic function. The vertex of a quadratic function in form f(x) = ax² + bx + c is given by x = -b/(2a). In our case, a = 0 (since there is no x² term), b = 24, and c = 0. Thus, the depth of the gutter that maximizes the area is x = -24/(2 * 0) = 0.
3. The maximum cross-sectional area is square inches:
Substituting the value of x = 0 into the quadratic function A(x) = 24x, we get A(0) = 24 * 0 = 0. Therefore, the maximum cross-sectional area is 0 square inches.
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Find (fog)(2).
f(x) = 3x + 2
g(x) = x²
(fog)(2)=
Answer:
(f·g)(2) = 14----------------------------
Find the composition of the functions f(x) and g(x), which is written as f(g(x)).
Given functions:
f(x) = 3x + 2,g(x) = x² .Find f(g(x)):
f(g(x)) = f(x²) = 3(x²) + 2Evaluate f(g(2)):
f(g(2)) = 3(2²) + 2 = 3(4) + 2 = 12 + 2 = 14So, (f·g)(2) = 14.
The speed of light is 300,000,000 meters per second. The sun is approximately meters 1.5 x 10¹¹ from Earth. How many seconds does it take for the sunlight to reach Earth?
Answer:
about 500 seconds
Step-by-step explanation:
The distances between stars across the universe are very great, so astronomers use light years as a larger unit than miles or kilometers. To calculate the actual distance of a light year, you simply need to multiply the speed of light by the number of seconds in a year. This means 300,000,000 multiplied by 500 and you would get 1.5 x 10¹¹ which is equal too 150,000,000,000
Suppose that you are about to purchase a car and have narrowed your choices to two models --Model A and Model B. All things are about equal, such as price, options, even the average annual maintenance costs. You find an owner survey in an auto magazine that indicates that the standard deviation of maintenance costs is smaller for Model B. Based on this information, which of the following statements is most appropriate?
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
B. Model A with the larger standard deviation is preferable. Cecause the larger value implies a smaller amount of variation in the data
C. Neither of the models are good since both standard deviations are not equal to 0. B 2
D. They are equally acceptable, because standard deviations are not useful for comparisons of data sets.
E. Cannot determine based on the information provided.
Answer:
A. Model B with the smaller standard deviation is preferable, because the smaller value implies that the mean is a more reliable representation of maintenance costs.
Step-by-step explanation:
The standard deviation is a measure of the variability of a dataset about a mean value. Larger values of standard deviation implies that the values varies Hugely about the mean whole smaller variability measure values mean that the data only varies a little about the mean. The implication of having a large variability value is that, low and high values in the data can be very different from the mean values, hence, lowering the reliability of Mean value. The lesser varibality gives the mean more reliability as a measure of centre
Craig is a telemarketer. He sold $960 of merchandise. If Craig’s commission is 10% what will he be paid?
Answer:
$96
Step-by-step explanation:
960* 0.10. = 96
to get 10 percent is to multiply by 0.10
Can someone please help me it’s very important please ASAP
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
please help me, choose the right one
The length of a rectangle is twice its width. Find its lenght and width, if its perimeter is 7 1/3 cm.
The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.
Let's assume the width of the rectangle is "b" cm.
According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (length + width)
Substituting the given perimeter value, we have:
7 1/3 cm = 2 * (2b + b)
To simplify the calculation, let's convert 7 1/3 to an improper fraction:
7 1/3 = (3*7 + 1)/3 = 22/3
Rewriting the equation:
22/3 = 2 * (3b)
Simplifying further:
22/3 = 6b
To solve for "b," we can divide both sides by 6:
b = (22/3) / 6 = 22/18 = 11/9 cm
Therefore, the width of the rectangle is 11/9 cm.
To find the length, we can substitute the width back into the equation:
Length = 2b = 2 * (11/9) = 22/9 cm
So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.
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Solve the equation on the interval 0≤x < 2.
2
4 tan²x - 12 = 0
Answer:
8 sec^2 x + 4 tan^2 x − 12 = 0 → sec^2x = tan^2x + 1
8 [ tan^2x + 1] + 4tan^2x - 12 = 0
8tan^2x + 8 + 4tan^2x - 12 = 0
12tan^2x - 4 = 0 divide through by 4
3tan^2x - 1 = 0
3tan^2x = 1
tan^2x = 1/3 take the square root of both sides
tanx = ±1 / √
Use 10 square model to find 12 is 10% of what number
Answer:
12 is ten percent of 120
Step-by-step explanation:
9273^4 ÷ (2×3) × 53
Answer: = 163823 x 9273^3/2. Hope this helps!
Answer:
I hope this helps!
Solve |x-5| > -2. Write your solution in interval notation.
Answer:
(−∞,∞)
Step-by-step explanation:
Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.
All real numbers
So, the answer is (−∞,∞)
A bag contain 50¢, 25¢ and 10¢ coins in the ratio 5 : 9 : 4, which amounts to $206. The number of coins of each type are
The number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
What is ratio?The quantitative relation between two or more amounts showing the number of times one value is contains or contained within other.
Now the given ratio is 5 : 9 : 4.
and total amount of the coins is $206.
There are three types of coins in the bag, 50¢, 25¢ and 10¢.
Suppose x be the the ratio of coins in the bag.
Hence, number of 50¢ coins = 5x
number of 25¢ coins = 9x
number of 10¢ coins = 4x
Now, given total amount = $206
and since $1 = 100¢
⇒ ($0.5)(5x) + ($0.25)(9x) + ($0.1)(4x) ¢ = $206
Solving them,
⇒ 2.5x + 2.25x + 0.4x = 206
⇒ 5.15x = 206
⇒ x = 40
Therefore,
number of 50¢ coins = 5*40 = 200
number of 25¢ coins = 9*40 = 360
number of 10¢ coins = 4*40 = 160
Hence, number of 50¢ coins is 200, number of 25¢ coins is 360
and number of 10¢ coins is 160.
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