We can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
What is expression?An expression is a term made up of both constants and variables.
Given is the function as -
f(x) = - x³ - 2
We can write f(5) as -
f(5) = - (5)³ - 2
f(5) = - 125 - 2
f(5) = - 127
Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
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(a)A deck has twenty-five cards. Four are labeled with a "", six with a "", ten with a "", and five with a "". Make a percent bar graph for the cards.
(b)A bag has five marbles. One is labeled with a "", and the other four are labeled with a "". Make a percent bar graph for the marbles.
(c)In each trial of an experiment, a card and a marble are randomly chosen. The number on the card and the number on the marble are recorded to find their sum. After each trial, the card is returned to the deck and the marble is returned to the bag.
Press "Run" to simulate trials based on the graphs you made. Then answer the questions below.
Card 1 2 3 4 1 2 3 4
Marble 1 1 1 1 2 2 2 2
Number of trials
A total number of trials:
In the simulation, which sum was more common, or? What percentage of the time did that sum occur? Do not round your answer. (In this simulation, a correct answer will not have more than one decimal place.) Important: If you run the simulation again, then you may need to adjust your answers.
The labels on the x-axis indicate the type of card, and the percentages are listed on the y-axis.
What is Algebraic expression?Algebraic expression can be defined as combination of variables and constants.
To create a percent bar graph for the cards in the deck, we first need to determine the percentage of each type of card in the deck.
There are a total of 25 cards in the deck, and the breakdown of each type of card is as follows:
4 cards labeled with a "": (4/25) x 100% = 16%
6 cards labeled with a "": (6/25) x 100% = 24%
10 cards labeled with a "": (10/25) x 100% = 40%
5 cards labeled with a "": (5/25) x 100% = 20%
Now that we have the percentage for each type of card, we can create the percent bar graph.
Cards Label
"" 16%
"" 24%
"" 40%
"" 20%
In this graph, each bar represents a type of card in the deck, and the length of each bar represents the percentage of cards that fall into that category.
Therefore, The labels on the x-axis indicate the type of card, and the percentages are listed on the y-axis.
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Please someone help I keep getting this wrong. :/
The equation that represents the graph will be x = (1/12) y². Then the correct option is A.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of the upward parabola is written as,
y = 4ax²
The equation of the downward parabola is written as,
y = - 4ax²
The equation of the rightward parabola is written as,
x = 4ay²
The equation of the leftward parabola is written as,
x = - 4ay²
From the graph, the parabola opens rightward, then the equation is written as,
x = (1/12) y²
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Help me, Please. I need an answer.
Answer:
1/4 x 4/1 x4/1= 2
6/1 x 6/1 x1/6=2
Step-by-step explanation:
assume the heights of men are normally distributed with a mean 67 inches and standard deviation 4 inches. if a random sample of sixteen men is selected, what is the probability that the mean height is between 66 and 68 inches?
The required probability that the mean height of a sample of sixteen men falls between 66 and 68 inches is approximately 0.6827.
How to find probability using normally distribution?We know that the sample size n = 16, the population mean μ = 67 inches, and the population standard deviation σ = 4 inches.
The sampling distribution of the sample mean can be approximated by a normal distribution with mean μ and standard deviation σ/√n.
Thus, the distribution of the sample mean can be expressed as:
[tex]$\bar{X} \sim \mathcal{N}(\mu, \frac{\sigma}{\sqrt{n}})$$[/tex]
Substituting the given values, we have:
[tex]$\bar{X} \sim \mathcal{N}(67, \frac{4}{\sqrt{16}})$$[/tex]
[tex]$\bar{X} \sim \mathcal{N}(67, 1)$$[/tex]
To find the probability that the sample mean falls between 66 and 68 inches, we need to find the z-scores corresponding to these values and calculate the area under the normal curve between these z-scores.
The z-score corresponding to a sample mean of 66 inches is:
[tex]$z = \frac{66 - 67}{1} = -1$$[/tex]
The z-score corresponding to a sample mean of 68 inches is:
[tex]$z = \frac{68 - 67}{1} = 1$$[/tex]
Thus, we need to find the probability that the z-score falls between -1 and 1. Using a standard normal distribution table or calculator, we can find that this probability is approximately 0.6827.
Therefore, the probability that the mean height of a sample of sixteen men falls between 66 and 68 inches is approximately 0.6827.
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A school needs to go buy new notebooks and desk computers for it s computer lap the notebook cost $250 each, and the desktop computers cost $175
Answer:
I'm sorry, it seems like you didn't complete the question. Can you please provide me with the rest of the question so I can assist you?
о
Most TCS foods cool from O to O
Fahrenheit within two hours and O to
degrees Fahrenheit within four hours when they're stored.
This means that they are considered safe since bacterial
growth has not reached dangerous levels yet.
degrees
Submit Answer
Most TCS foods cool from 135°F to 70°F within two hours and from 70°F to 41°F within four hours when they're stored.
What temperatures should TCS foods be kept at ?TCS foods are those foods that require time and temperature control to prevent the growth of harmful bacteria and other microorganisms that can cause foodborne illness.
The general rule is that TCS foods should be cooled from 135°F to 70°F within two hours and from 70°F to 41°F within an additional four hours. This means that the total time for cooling TCS foods should not exceed six hours.
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The full question is:
Fill in the blanks:
Most TCS foods cool from _________ within two hours and from _______ within four hours when they're stored. This means that they are considered safe since bacterial growth has not reached dangerous levels yet.
A time period is written as 36 seconds, correct to the nearest second. Select the least possible value of this time period. A 30s B 35s C 35.5s D 35.95s E 40s
Step-by-step explanation:
is a data storage device
Given cos 0 = √2/5and sin 0 < 0.
What is the value of sin ?
Which function does not have a period of 2 pie?
Answer:
Step-by-step explanation:
The trigonometric function that does not have a period of 2π is the tangent function, denoted by tan(x).
The period of a trigonometric function is the length of one complete cycle of the function. For the sine and cosine functions, the period is always 2π, which means that the function repeats itself every 2π units.
However, the tangent function has a period of π, which means that it repeats itself every π units. This is because the tangent function has vertical asymptotes at x = (n + 1/2)π, where n is an integer, and the function changes sign between these asymptotes. Therefore, the tangent function does not have a period of 2π.
PLEASE HELP PLEASE ASAP PLEASE HELP
What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?
The coordinates after the rotation are:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
What are the coordinates after the rotation?By looking at the diagram, we can see that the mapings of the rotation are:
R → M
U → N
T → P
S → Q
We know this by looking at the orientation of the figures and by knowing how a rotation works.
So the cordinates after the rotation are the ones of these points, we can use the graph to find them:
R → M = (1, 2)
U → N = (2, 4)
T → P = (4, 5)
S → Q = (3,3)
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Two different models of same rectangle . In first triangle 1 centimeter equals 6.25 feet and in second triangle 1 centimeter equals 1.25 feet. Above are two different models of the same rectangular patio. If the area of the model on the left is 4 sq cm, what is the area of the model on the right?
The area of the model on the right is 6.25 square centimeters.
What is area ?
Area is a measurement of the size of a two-dimensional surface or region. It is the amount of space inside a closed figure or shape, and is typically measured in square units such as square meters, square feet, or square centimeters.
Since the two models represent the same rectangular patio, they must have the same area.
Let A be the area of the model on the right in square centimeters.
Using the ratios given in the problem, we can write:
A/4 = (1.25 ft/1 cm)²
Simplifying the right-hand side, we get:
A/4 = 1.5625 ft²/cm²
Multiplying both sides by 4, we get:
A = 6.25 ft²
Therefore, the area of the model on the right is 6.25 square centimeters.
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How much would 17 computers, 18printers, 5DVDs, and 30 cd’s cost ?
The cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.
What is cost?Cost is the amount of money or resources that must be exchanged for goods, services, or activities. It is typically associated with the purchase of goods and services and related to production, labor, and other expenses. Cost is a crucial factor in business operations, as it affects both the budget and the profitability of any venture. In addition to monetary costs, businesses may also incur opportunity costs, which are the costs associated with foregoing alternative investments or activities.
The cost of 17 computers, 18 printers, 5 DVDs, and 30 CDs would depend heavily on the type, brand, and quality of the items being purchased. However, an estimate of the cost of these items can be made.
Computers can range from $200 to $2,000, depending on the type and specs. An average cost for 17 computers would be around $10,000. Printers can range from $50 to $500, depending on the type and specs. An average cost for 18 printers would be around $2,000. DVDs can range from $2 to $25, depending on the type and specs. An average cost for 5 DVDs would be around $50. CDs can range from $1 to $10, depending on the type and specs. An average cost for 30 CDs would be around $75.
In total, the cost for 17 computers, 18 printers, 5 DVDs, and 30 CDs would be around $12,125.
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What is the area, in square meters, of the shaded part of the rectangle below?
10 m
16 m
9 m
So the area of the shaded part of the rectangle is 125 square meters.
What is area?Area is the measure of the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters or square feet. The area of a shape is the amount of space that it occupies within a defined boundary. The formula for the area of a shape varies depending on the shape, but for common shapes like rectangles, triangles, and circles, there are specific formulas that can be used to calculate the area. Knowing the area of a shape is important for many practical purposes, such as calculating the amount of paint needed to cover a wall or the amount of carpet needed to cover a floor.
Here,
To find the area of the shaded part of the rectangle, we need to subtract the area of the unshaded triangle from the total area of the rectangle. The rectangle has a length of 16 meters and a width of 10 meters, so its total area is:
Area of rectangle = length x width
= 16 m x 10 m
= 160 m²
The unshaded triangle has a base of 9 meters and a height of 10 meters, so its area is:
Area of triangle = 1/2 x base x height
= 1/2 x 7 m x 10 m
= 35 m²
Therefore, the area of the shaded part of the rectangle is:
Area of shaded part = Area of rectangle - Area of triangle
= 160 m² - 35 m²
= 125 m²
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If the sum of the measures of the three angles shown is 163
, what is the measure of
Answer:
See below.
Step-by-step explanation:
We are asked to find the measure of ∠CEB.
We already know that the 3 angles combined have a total sum of 163°.
Let's set the 3 angles equal to 163°.
[tex]x-10+4x +2x+5=163[/tex]
Now, we should Combine Like Terms.
What is Combining Like Terms?
Combining Like Terms is adding, or subtracting together 2 or more numbers or variables that are alike.
For example, if we were given the expression;
[tex]5x + 3 - 2x + 9[/tex]
We should combine 5x and 2x, 3 and 9 since they are like terms.
For our equation;
[tex]x-10+4x +2x+5=163[/tex]
We should combine x, 4x, and 2x. We also should combine -10, 5, and 163.
Afterwards, we should have:
[tex]7x=168[/tex]
Simplify:
[tex]x= 24[/tex]
Substitute 24 within the value of x in the given expression for ∠CEB.
Substitute:
[tex]-10 + 4(24) = 86[/tex]
The measure of ∠CEB = 86°
The window has the shape of a kite. How many square meter of glass were used to make the window?
40 cm
45 cm,
35 cn
40 cm
The area of glass used to make the window is 3200 sq. cm.
What is a kite?A kite is a member of quadrilateral which has two diagonals. The area of a kite can be determined by;
area of a kite = (length of diagonal 1 * length of diagonal 2) / 2
Therefore to determine the square meter of glass used to make the window in the given question, we have;
length of diagonal 1 = 40 + 40
= 80 cm
length of diagonal 2 = 35 + 45
= 80 cm
area of the window = (80*80)/2
= 6400/2
area of the window = 3200 sq. cm.
Therefore, 3200 sq. m. of glass was used to make the window.
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Create a Venn diagram to illustrate the following:
(D ⋃ E) ⋃ F
The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.
What exactly is a Venn diagram?A Venn diagram is a graphical representation of set theory that uses circles or other closed shapes to show the relationships between sets of objects. In a Venn diagram, each set is represented by a circle or other shape, and the area of the circle represents the total number of objects in that set.
The circles are usually drawn so that they overlap, with the overlapping region representing the objects that belong to both sets. Venn diagrams can be used to illustrate set operations such as union, intersection, and complement.
Now,
As i can not draw here
so i will explain it
To create the Venn diagram, we first draw three overlapping circles to represent the sets D, E, and F. We then shade the regions corresponding to the set operations in the expression, starting from the innermost operation and working our way out.
The expression (D ⋃ E) represents the union of sets D and E, so we shade the region where the circles for D and E overlap. This region represents all the elements that are in D or E or both.
Next, we take the union of (D ⋃ E) with F. This means we shade the region where the circle for F overlaps with the region we shaded in the previous step. This region represents all the elements that are in D or E or F or any combination of these sets.
The final Venn diagram should have three overlapping circles, with the region where all three circles overlap shaded to represent (D ⋃ E) ⋃ F.
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Three friends got the prize money worth $273,000 the first friend would get four times the amount of the third portion the third friend would get four amount of the second friends portion determine that each friend recieve
Answer: Let's call the portions that the second friend gets "x". Then, the third friend gets four times that amount, which is 4x. Finally, the first friend gets four times the third friend's portion, which is 4(4x) = 16x.
The sum of the portions is equal to the total prize money of $273,000, so:
x + 4x + 16x = 273000
21x = 273000
x = 13000
So, the second friend gets $13,000, the third friend gets four times that amount, which is $52,000, and the first friend gets four times the third friend's portion, which is $208,000.
Step-by-step explanation:
pls show work im struggling
Answer:
The flag pole is 12 feet tall
Option C.
Step-by-step explanation:
We can use the Pythagorean theorem to evaluate the height of the flagpole.
The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of each of the legs squared and can be written as
[tex]a^2+b^2=c^2[/tex]
Numerical Evaluation
In this example we are given the value of the hypotenuse and the value of one of the legs.
[tex]b=16\\c=20[/tex]
Substituting our values into the equation yields
[tex]a^2+16^2=20^2[/tex]
Lets solve for [tex]a[/tex].
Evaluate [tex]16^2[/tex].
[tex]a^2+256=20^2[/tex]
Evaluate [tex]20^2[/tex].
[tex]a^2+256=400[/tex]
Subtract [tex]256[/tex] form both sides of the equation.
[tex]a^2=144[/tex]
Take the square root of both sides to eliminate the exponent.
[tex]a=\sqrt{144}[/tex]
Evaluate [tex]\sqrt{144}[/tex].
[tex]a=12[/tex]
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The length of a radius of a circle, measured in feet, is represented by the expression z + 3.6. The diameter of the circle is 11 4/5 ft.
What is the value of z?
Enter your answer as a decimal or mixed number in simplest form in the box.
The value of z in the circle is 2.3 units
How to determine the value of z in the circleIn the question, the following statements represents the given parameters
The length of a radius of a circle is represented by the expression z + 3.6. The given circle diameter is 11 4/5 ft.As a general rule, the diameter of a circle is the radius doubled
So, we have
2 * (z + 3.6) = 11 4/5
Express as decimal
2 * (z + 3.6) = 11.8
So, we have
z + 3.6 = 5.9
Evaluate the like terms
z = 2.3
Hence, the value of z is 2.3
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If the Owner of a restaurant bought 75 kilograms of rice and each week the restaurant uses 4.5 kilograms of rice how much rice will be left after 6 weeks
After 6 weeks there will be 58 kg rice be left.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
The Owner of a restaurant bought 75 kilograms of rice.
And, Each week the restaurant uses 4.5 kilograms of rice.
Now,
After 6 weeks used rice is,
⇒ 4.5 × 6 kg
⇒ 27 kg
Hence, After 6 weeks there will be rice be left is,
⇒ 75 - 27 kg
⇒ 58 kg
Thus, After 6 weeks there will be 58 kg rice be left.
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If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true? The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts. Mark this and return
"The graph of f(x) has exactly two x-intercepts" - For a linear function whose domain is the set of all real numbers, this assertion cannot be accurate.
Any function with the formula f(x) = mx + b is referred to as linear.
Setting f(x) = 0, we get:
mx + b = 0
Solving for x, we get:
x = -b/m
Depending on the slope m and y-intercept b values, there are an unlimited number of x-intercepts.
What are linear functions?A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. If the function has more variables, they should all be constants or known variables in order for the function to continue to function as a linear function. A linear function is a function that, when plotted, creates a straight line. Typically, it is a polynomial function with a maximum degree of 1 or 0. Nonetheless, calculus and linear algebra are also used to represent linear functions. The function notation is the only distinction. It is also important to understand an ordered pair written in function notation.
from the questions:
A function with the formula f(x) = mx + b, where m and b are constants, is referred to as a linear function. When f(x) = 0, the point where a linear function intersects the x-axis is known as the x-intercept.
Setting f(x) = 0, we get:
mx + b = 0
Solving for x, we get:
x = -b/m
As a result, the x-intercept of a linear function is a single point, (-b/m, 0), and depending on the slope m and y-intercept b values, there may only be zero, one, or infinitely many x-intercepts.
As a result, for a linear function whose domain is the set of all real numbers, it is not possible for the statement "The graph of f(x) has precisely two x-intercepts" to be true.
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Algebra question, multiple choice, photo attached
The graph of the linear inequality y ≥ 2·x - 1 is the region on or above the graph of the line y = 2·x - 1
Option A is correct;
(A) On or above
What is an inequality?An inequality is a comparison that expresses an unequal relationship between two expressions.
An example of an inequality is; V < W, R > Q, X ≥ W, etc
The region of the graph of a linear inequality is indicated by shading above the line when the inequality is >, and below the line when the inequality symbol is <
The specified linear inequality can be presented as follows;
y ≥ 2·x - 1
Therefore, w get;
The values of y are larger than 2·x - 1
The shaded region is the region on or above the graph of the line y = 2·x - 1
The correct option is therefore; (A) On or above the line y = 2·x - 1
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the cost of four popcorns (p) and twenty dollars worth of movie tickets
A statement with more than two variables or numbers can be written as an expression using addition, subtraction, multiplication, and division operations. Tickets for the film are $16 each.
What is an expression?A combination of symbols and/or numbers that infers a quantity or a mathematical relationship between two quantities is known as an expression in mathematics. Variables, constants, and operators like addition, subtraction, multiplication, and division can all be found in expressions.
Given that,
Total amount spent = $24.
Cost of the movie ticket = m
Cost of popcorn and soft drinks = 1/2 x m = $(m/2)
The cost of the movie will be calculated as,
Cost of popcorn + Cost of soft drinks + Cost of the movie = $24
[tex]\dfrac{m}{2} + m = 24[/tex]
[tex]\dfrac{(m + 2m)} { 2} = 24[/tex]
[tex]\dfrac{3m}{2} = 24[/tex]
3m = 24 x 2
m = 8 x 2
m = $16
The cost of the movie ticket is $16.
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The complete question is given below.
Rafael spent 24 dollars on a movie ticket, popcorn, and a soft drink. if the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, what was the cost of the movie ticket?
Please look at the image provided and find the perimeter if the rectangle!
Perimeter of the rectangle = 8x²y +26x and the area of the rectangle =52x³y.
What do we mean by perimeter?Perimeter is the distance around the edge of the shape. Learn how to find the perimeter by adding the lengths of the sides of various shapes.
What is area?Area is defined as the total space occupied by a planar (2-D) surface or shape of an object. The space enclosed by the boundaries of a plane figure is called the area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as cm² or m²
Exponent rule:
To express the expression in a simplified manner the exponent rule is used.
Perimeter can be calculated using the formula :(2*length[L] )+(2*width[W})2(L+W)
Area can be calculated using the formula:
Length * Width
L*W
Given:
4x²y and 13x
perimeter=2(L + W)=2(4x²y +13x)=8x²y +26x
Area=L*W=4x²y *13x=52x³y
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3x + 4 = 7x -8 find the answer
Answer:
3 lol
Step-by-step explanation:
The measure of an angle is 50.6°. What is the measure of its complementary angle?
Answer:
39.4°
Step-by-step explanation:
complementary angles add up to 90
therefore, the complementary angle to 50.6 is:
90 - 50.6 = 39.4
What is the equation of the line containing points (3,1),(9,3)
slope = 3-1/9-3 = 2/6 = 1/3
y = 1/3x + b
1 = 1/3(3) + b
1 = 1 + b
b = 0
equation: y = -1/3x + 0
You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.8 miles to reach the bottom safely and go swimming. There is also a path that is 1.3 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the questions.
Part A: the drone would need to fly up 1.3 miles Part B: the drone would need to fly up 1.8 miles. Part C: the value of zero represents the top of the waterfall . Part D: the absolute value of -1.8 is the same as the absolute value of 1.8, we have shown that you hiked the same distance in both directions.
Describe Distance?It can be measured in various units such as meters, kilometers, feet, miles, etc. In mathematics, the distance between two points in a coordinate plane can be calculated using the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
d = √[(x2 - x1)² + (y2 - y1)²]
Where (x1, y1) and (x2, y2) are the coordinates of the two points and d is the distance between them
Part A: The distance from the top of the waterfall to the place where you eat lunch is 1.3 miles, so the drone would need to fly up 1.3 miles
Part B: The distance from the top of the waterfall to the place where you go swimming is 1.8 miles, so the drone would need to fly up 1.8 miles
Part C: In this problem, the value of zero represents the top of the waterfall where you and your friend are currently located.
Part D: Let x be the distance you hiked to go swimming, and let y be the distance you hiked to go back to the top to meet your friend. Then, the total distance you hiked is the sum of the absolute values of x and y, which can be written as |x| + |y|. Since you hiked down 1.8 miles to go swimming and then hiked back up 1.8 miles to the top, x = -1.8 and y = 1.8. Substituting these values, we get |(-1.8)| + |1.8| = 1.8 + 1.8 = 3.6. Since the absolute value of -1.8 is the same as the absolute value of 1.8, we have shown that you hiked the same distance in both directions.
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The complete question is :
Rita works 12 3/4 hours in her first week at a new job. she works 15 1/4 hours in the second week. how many more hours does Rita work the second week?
Rita worked for 2 1/2 hours more during the second week
How to calculate the amount of time that Rita worked longer during the second week?The first step is to write out the parameters given in the question
Rita works 12 3/4 hours in her first week at a new job
She works 15 1/4 hours in the second week
The number of hours that she worked longer during the second week can be calculated by subtracting the number of hours worked in the second week from the number of hours worked during the first week of the job
= 15 1/4 - 12 3/4
= 61/4 - 51/4
= 10/4
= 5/2
= 2 1/2
Hence Rita worked 2 1/2 hours longer during the second week
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Patricia is checking the distance between two towns on a map. The map uses a scale in which 3 inches equals 200 feet. If the actual distance between the towns is 8250 feet, how far is it between the towns on the map, in inches? Your answer can be exact or rounded to two decimal places.
Step-by-step explanation:
Refer to pic...........