Answers
It is a rectangle, TUVW. A parallelogram has diagonals that are perpendicular and angles that are all 90 degrees.
Is a parallelogram ever a rectangle?No, a parallelogram is not always a rectangle. In a rectangle, all angles must be equal to 90°. But for a parallelogram, no angles need to be equal to 90°. In a rectangle the diagonals are equal but in a parallelogram, diagonals are not equal.
Parallelogram has opposite sides equal and parallel. Rectangle also has opposite sides equal and parallel. The difference between the two is that sides of rectangles form 90 degree while that of parallelogram don't.
A square is a parallelogram. This is always true. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Parallelograms are quadrilaterals with two sets of parallel sides.
It is a rectangle, TUVW. A parallelogram has diagonals that are perpendicular and angles that are all 90 degrees.
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Related Questions
two students just finished ba 215. sam slacker did not complete any of the career smart goals assignments and reports. denise diligence, on the other hand, took the assignment to heart (didn't just jump through hoops) and scored 95% on all of them. assuming that each point earned will result in a $1500 increase in salary 20 years from now, how much higher will denise's salary be than slacker's? enter your answer to the nearest whole dollar. do not include the $ symbol. hint: you will need to first know how many total points all of the smart goals assignments and reports (career preparation and development section of the syllabus) are worth in order to make the calculations.
Answers
The difference in salary will be $71,250.
What is multiplication in mathematics?
Multiplication is a mathematical operation that is used to find the product of two or more numbers. It is usually represented by the symbol "x" or "*", and is often referred to as repeated addition.
Career Preparation and Development (Career SMART Goals) worth 50 points.
Denise Diligence scored 95/100 on all of the assignments and reports, so she earned a total of 47.5 points.
Since each point earned will result in a $1500 increase in salary 20 years from now, Denise's salary will be $1500 x 47.5 = $71,250 higher than Slacker's.
Sam Slacker did not complete any of the career smart goals assignments and reports, so he earned a total of 0 points.
Hence, the difference in salary will be $71,250.
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Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. Considering this data, how many of the next 3 donuts Brody eats would you expect to be glazed donuts?
glazed donuts
Answers
Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. we expect 1 to be glaized
What is Brody's donut preference?Generally, Based on the data provided, it seems that Brody has eaten 3 glazed donuts out of a total of
3 + 6 = 9 donuts.
This means that 3/9, or approximately 1/3, of the donuts Brody has eaten are glazed.
So, if Brody eats 3 more donuts, we would expect 1/3 of them to be glazed,
or 3*(1/3)=1.
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Mid topic checkpoint chapter 4 for questions 3,and 4
Answers
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
What is the Linear equation?
An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.
y = mx + c
where m denotes the slope.
The y-intercept is represented by the constant c. (Where x is zero)
In our instance, y-intercept equals 60.
The line's equation will therefore be:
y = mx + 60
y = mx + 60
There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.
90 = 4*m + 60
4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is
y = 7.5x + 60.
If Adam's study for 6 hours then his score would be
y = 7.5x + 60.
y = 7.5(6) + 60
y = 105
Hence,
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
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pleas help need done by 11:59
Which of the following equations have exactly one solution?
Choose all answers that apply:
A
- 13x + 12 = 13x - 13
12x + 12 = 13x + 12
- 13x + 12 = 13x + 13
12x + 12 = 13x - 12
B
C
Answers
because B comes out as x = 0
and D comes out as x = 24
Answer:
A, B, C, D
Step-by-step explanation:
You want to know which of these equations have exactly one solution:
-13x + 12 = 13x - 1312x + 12 = 13x + 12-13x + 12 = 13x + 1312x + 12 = 13x - 12One solutionAn equation in a single variable will have one solution if the variable terms on either side of the equal sign have different coefficients.
A: coefficients are -13 and +13; one solution (x=25/26)
B: coefficients are 12 and 13; one solution (x=0)
C: coefficients are -13 and +13; one solution (x=-1/26)
D: coefficients are 12 and 13; one solution (x=24)
All of the given equations have exactly one solution.
We all know that fruit is good for us. Many of us do not eat enough. The figure provided is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls from a study in Pennsylvania.
Select the best description for the variability of this distribution. O from zero to fifteen servings O from zero to eight servings O from zero to fifteen girls O from zero to eight girls
Answers
The answers are as follows:
1. Skewed to the right.
2. The center is about 2 or 3 servings of fruit.
3. From zero o eight servings.
4. No outliers
5. About 12%.
6. 26 girls
About Pennsylvania.
Although the original European immigrants were Swedes and Dutch, William Penn, a Quaker, gave the state of Pennsylvania its name in honor of his father by combining the name Penn with the Latin word Sylvania, which means "woodlands," to create "Penn's woodlands." Pennsylvania, also known as the "Keystone State," is one of the original 13 colonies (it entered the Union in 1787). The state is now dominated by two large cities: Pittsburgh, a bustling inland river port, and Philadelphia, the city of the Liberty Bell, Constitution Hall, and a vibrant metropolitan area. The Amish are a group of people who don't utilize technology and live in the Pennsylvania countryside. The ruffed grouse is the state bird and Harrisburg is home to it.
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The following question be maybe like:
We all know that fruit is good for us. Many of us do not eat enough. The figure provided is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls from a study in Pennsylvania.
Image given below:
1. Choose the term that best describes the shape of this distribution.
skewed to the right skewed to the left symmetric but not bell-shaped bell-shaped2. Provide the center of this distribution (Enter your answer as a whole number.)
3. Select the best description for the variability of this distribution.
from zero to eight servings from zero to fifteen servings from zero to eight girls from zero to fifteen girls4. Are there any outliers?
Yes, there is one outlierYes, there are multiple outliers. It is impossible to say using the given information. No.5. What percent of these girls ate six or more servings of fruit per day?
About 92%. About 9%. About 4%. About 12%.6. How many of these girls ate fewer than two servings of fruit per day?
26 41 35 15You want to test the claim made by a college career center that 80% of graduates have full-time employment
within 6 months of graduation. The table below shows data for 300 alumni.
Employed: 210
Unemployed: 90
In the chi-square test, what is the "expected" value for employment?
Select one:
a. 300
b. 210
C. 240
d. 80
Answers
Answer:
240
Step-by-step explanation:
C. 240
The expected value is calculated by taking the total sample size (300) and multiplying it by the hypothesized proportion of graduates who have full-time employment within 6 months of graduation (80%).
Expected value = 300 x (80/100) = 240
Please help!!!! Thank you!
Answers
The probability that the first item is not the first to be delivered is 0.6667
How to determine the probabilityLet's call the events that the first, second, and third items arrive on the first day of February A, B, and C, respectively.
The probability that the first item arrives on the first day of February is 1/3. The probability that the second item arrives on the first day of February is 1/3, The probability that the third item arrives on the first day of February is 0.Therefore, the probability that one of the other two items arrives first is
1/3 + 1/3 = 2/3.
The probability that the first item is not the first to be delivered is
1 - 2/3 = 1/3
Evaluate
1 - 2/3 = 0.6667
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What is the vertex for the graph below ? 10 A . (- 2, 0) B . (0, - 2) . (2, 0) D . (0, 2)
Answers
The vertex for the graph is at (2, 0).
What is a parabola?A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix)
Focus is a fixed point.
Directrix is the name for fixed lines.
Given the graph is a parabola,
A parabola's vertex is the location where its symmetry line and parabola intersect. The vertices of a parabola whose equation is provided in standard form will be the lowest (lowest point) and highest (highest point) points on the graph, respectively.
The minimum point in graph is (2, 0)
Hence vertex is (2, 0).
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The complete question is in image,
Given that ,On May 7,1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters.We need to use a graphing calculator or computer to model these data by a third-degree polynomial.
Answers
To create a third-degree polynomial model for the velocity data of the space shuttle Endeavour we need to use a graphing calculator or computer.
1. Enter the velocity data into the graphing calculator or computer.
2. Select the "Polynomial Regression" option.
3. Choose the degree of the polynomial (third degree).
4. Enter the polynomial regression equation displayed.
5. Select the "Graph" option to view the polynomial model.
A third-degree polynomial model can be used to accurately represent data points. To create a third-degree polynomial model for the velocity data of the space shuttle Endeavour, we need to use a graphing calculator or computer. First, we enter the velocity data into the graphing calculator or computer. Then we select the "Polynomial Regression" option and choose the degree of the polynomial (third degree). This will generate the polynomial regression equation which can then be entered. Finally, we select the "Graph" option to view the polynomial model. This will show us a graph of the velocity data points with the third-degree polynomial fitted to the points. This can be used to accurately predict the velocity of the shuttle Endeavour throughout its mission STS-49.
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a business lady bought 100 quails and 80 rabbits for sh 25600.if she bought twice as many rabbits and half has many quails she would have paid sh7400 less.form two equations
Answers
The equations are 100x + 80y = 25600 and 50x + 160y = 18200.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Let x be the cost of a quail and y be the cost of a rabbit bought by the business lady.
Given that a business lady bought 100 quails and 80 rabbits for sh 25600.
100x + 80y = 25600
If she bought twice as many rabbits, number of rabbits = 80 × 2 = 160.
If she bought half as many quails, number of quails = 100/2 = 50
The equation is then,
50x + 160y = 25600 - 7400
50x + 160y = 18200
Hence the equations formed here at two situations are 100x + 80y = 25600 and 50x + 160y = 18200.
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or
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Mr. Robinson, the owner of two car dealerships in Clarksville, is holding a contest to see which one can sell the most cars. Clarksville Cars has already sold 15 cars, and Robinson's Autos has sold 13 cars. Going forward, the salespeople at Clarksville Cars think they can sell 8 cars per day, whereas the salespeople at Robinson's Autos are aiming for sales of 10 cars per day. If the salespeople's predictions are accurate, it won't be long before the two dealerships are tied. How many cars will each lot have sold? How long will that take?
The dealerships will each have sold
cars in
days.
Answers
The dealerships will each have sold 23 cars in 1 day.
How many cars would the dealerships sell when they are tied?The first step is to form a linear equation that represents the number of cars that are sold by the dealerships. A linear equation is an equation that has a single variable that is raised to the power of one.
The form of a linear equation that represents the total cars sold by the dealership is:
Total cars sold = cars already sold + (number of cars sold per day x number of days)
Total cars sold by Clarksville Cars= 15 + (8 x d)
= 15 + 8d
Total cars sold by Robinson's Autos = 13 + (10 x d)
= 13 + 10d
When the two dealerships are tied, the two above functions would be equal:
13 + 10d= 15 + 8d
In order to determine the value of d, take the following steps:
Combine and add similar terms:
10d - 8d = 15 - 13
2d = 2
Divide both sides of the equation by 2
d = 2 / 2
w = 1 week
Number of cars that would have been sold by each dealership =
13 + 10(1)
13 + 10 = 23 cars
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Solve:
(-4)^7*(-8^)^3+12/2=?
Show your work
Answers
Answer:
−16890
Step-by-step explanation:
Simplify the expression.
Simplify the expression 5y + 3x + 9
What is the coefficient of y?
What is the constant?
Answers
Answer:
Expression: 5y+3x+9
Coefficients: (of y) 5, (of x) 3
Constant: 9
Hope this helps :)
Step-by-step explanation:
The coefficient(s) of an equation will always be the number that sits next to/attached to a variable. The constant of an equation will always be the number(s) that stands alone.
Mr.Honkenberg Is planning for his Superbowl party.If he he buys 18 chicken wings for $15 what is the cost of the wings in wings per dollar?
Answers
Answer:
The cost of the wings per dollar is 18/15 = 1.2 wings per dollar.
Answer:
1.2
Step-by-step explanation:
the probability of rolling an even number on an unfair die is 0.65 which of the following is closest to the probability that an even number
Answers
The probability of rolling an even number on an unfair die is 0.65, which means that if you roll the die multiple times, the proportion of times that you roll an even number will be close to 0.65.
So, the probability of rolling an even number is closest to option c) 0.65
A die is a cube with numbers on each face that are used in games or gambling. A fair die is a die that is equally likely to land on any of its faces, meaning that each face has a probability of 1/6 of being the face that lands up. An unfair die is a die that does not have an equal probability of landing on each face. It means that the probability of landing on each face is not the same.
In the given scenario, it is said that the probability of rolling an even number on an unfair die is 0.65. This means that if you roll the die multiple times, the proportion of times that you roll an even number will be close to 0.65. It means that the die is not fair, and it is more likely to roll an even number.
Therefore, the probability of rolling an even number is closest to 0.65, it is the probability of rolling an even number on an unfair die.
--The question is incomplete, answering to the question below--
"The probability of rolling an even number on an unfair die is 0.65 which of the following is closest to the probability that an even number
a. 0.35
b. 0.40
c. 0.65
d. 0.70"
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The average lifetime of a certain new cell phone is three years. The manufacturer will replace any cell phone failing within two years of the date of purchase. The lifetime of these cell phones is known to follow an exponential distribution.Multiple Choice - Please provide how the answer is found.1)The decay rate is:a. 0.3333b. 0.5000c. 2d. 32)What is the median lifetime of these phones (in years)?a. 0.1941b. 1.3863c. 2.0794d. 5.5452
Answers
The decay rate of the cell phones is 0.3333, and the median lifetime of the phones is 2.0794 years.
The decay rate of the cell phones is 0.3333, and the median lifetime of the phones is 2.0794 years.
1)a. 0.3333
2)c. 2.0794
1)The decay rate is found by dividing 1 by the average lifetime (in this case, 3 years). Therefore, the decay rate is 1/3 = 0.3333.
2)The median lifetime of these phones is found by taking the natural logarithm of 0.5 (which is the probability of the phone failing within 2 years) and dividing it by the decay rate (0.3333). Therefore, the median lifetime is ln(0.5)/0.3333 = 2.0794.
The decay rate of the cell phones is 0.3333, and the median lifetime of the phones is 2.0794 years.
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The diameter of each tire on a vehicle is 32 inches. If the tires are moving at a rate of 800 revolutions per minute find the linear speed of the vehicle in miles per hour
Answers
The linear speed of the vehicle In miles per hour is 19.04 miles per hour
What is the angular speed?Angular speed is the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes. In the figure, this displacement is represented by the angle θ between a line on one body and a line on the other.
The relationship between angular and linear speed is v = wr
where w= angular speed
v = linear speed
and r is the radius
1 inch = 1.578×10^-5
r = 32/2 = 16 inches = 16×1.578×10^-5
= 25.25×10^-5 = 2.5×10^-4miles
1 revolution = 2π = 6.28
800 revolution = 6.28× 800 = 5024
1 minutes = 1/60
800rev/minutes = 5024×60= 301440 rad/hour
v = wr
v = 301440 × 1.578 × 10^-5 = 4.76 miles per hour
therefore the linear speed of the car is 4.76miles/ hour × 4 = 19.04 miles per hour
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which of these events are mutually exclusive if you roll a pair of dice?i. a: at least one die is a 3ii. b: at least one die is a 6iii. c: the sum is 11
Answers
When rolling a pair of dice, there are 36 possible outcomes, each representing a unique combination of the numbers on the two dice.
Event A: "at least one die is a 3" is not mutually exclusive with Event B: "at least one die is a 6" or Event C: "the sum is 11"
Event A and Event B are mutually exclusive because when one of the die is a 6, the other die cannot be a 3 and vice versa.
Event A and Event C are not mutually exclusive because there are some outcomes where at least one die is a 3 and the sum is 11. For example (3,8), (4,7) and (6,5) are all outcomes where at least one die is 3 and the sum is 11.
Event B and Event C are not mutually exclusive because there are outcomes where at least one die is a 6 and the sum is 11. For example (5,6) and (6,5) are both outcomes where at least one die is a 6 and the sum is 11.
So, in conclusion, Event A and Event B are mutually exclusive, but Event A and Event C and Event B and Event C are not mutually exclusive.
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latanya takes a trip to an amusement park and rides a ferris wheel. the height, in feet above the ground, of her car over time , measured in , is given by
Answers
The height, in feet above the ground, is 26 feet
(Achieved Peak Value - Attained Lowest Value)/2
The lowest number = is 5 if the ride starts at the bottom of the Ferris wheel, which keeps you 5 feet above the ground.
Charlie will be 47 feet off the ground at the apex, or 5 feet off the ground plus the diameter of the wheel.
Amount = a = (47-5)/2 = 21.
(2/period) = b. You can just plug in the period from the question since you will already have located it.
(Peak value + Lowest value)/2 = for d = midline.
(47+5)/2 = 52/2 = 26
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In which section of the number line is √13?
Answers
The graph of "square root of 13" is 3.61 is seen below.
What is the number line is √13?So, the graph of "square root of 13" = 3.61 is seen below.
As a result, the quotient obtained using the aforementioned division approach, or roughly 13 = 3.605, is the necessary square root of 13.
Plotting the number "square root of 13" on the number line is necessary.
since we are aware,
13 has a square root of 3.61.
In other words, we must write 3.61 on the number line.
Since 3.61 is between 3 and 4, it tends to lean more toward 4.
So, the graph of "square root of 13" = 3.61 is seen below.
The graph of "square root of 13" is 3.61 is seen below.
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A machinist must cut 12 strips of metal that are each 2 ft 6 7/8 in. long. What is the total length needed in inches?
Answers
The total length of the metal strips needed in inches is 370.5 inches
How to convert feet to inches?Number of strip metals = 12
Length of each strip metal = 2 ft 6 7/8 in.
Convert feet to inches:
1 feet = 12 inches
2 feet = 24 inches
2 ft 6 7/8 in = 30 7/8 inches
Total length of strip metals= Number of strip metals × Length of each strip metal
= 12 × 30 7/8 inches
= 12 × 247/8
= 2,964/8
= 370.5 inches
So therefore, the total length of the metal strips is 370.5 inches
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convert 47 in^2 into square centimeters?
Answers
47 square centimeters is equal to 303.225 square inches.
How is cm2 converted from cm?
Measure the length and width of an object, such as a rectangle, and multiply the results to get the number in square centimeters. In the event that the length and width are 15 cm and 10 cm, respectively, the formula is 15 cm*10 cm, which equals 150 cm2.
Any number that is multiplied by itself is transformed into a square. A different word for this is a number squared. The symbol for "squared" is 22 since 2 x 2 equals 4.
In mathematics, the squared sign (2), an arithmetic operator, stands in for multiplying an integer by itself. The "square" of an integer is the sum of that number and itself. Therefore, 10,000 square meters are represented by one square centimeter.
1 square inch = 6.4516 square centimeters.
47 in^2 = 47 × 6.4516
= 303.225 sq. cm
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8. Which division problem does the model
Tess made represent?
Answers
As a result, the model's representation of the division problem is 7/4 * 1/2 = 3 1/2 as the Circled portion .
what is circle ?In the plane, a circle is created by each point that is a specific distance from another point (center). Therefore, it is a curve made up of points that are spaced out from one another in the plane in a fixed manner. It rotates symmetrically around the center at all angles. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are evenly distanced from the "center." Specular symmetry is produced by a line that traverses the circle. It rotates symmetrically around the center at all angles.
given
Circled portion of the shaded partition is 7/4 of the total.
Take 1/2's reciprocal and switch the sign to multiply. 7/4 * 1/2 = 3 1/2
As a result, the model's representation of the division problem is 7/4 * 1/2 = 3 1/2 as the Circled portion .
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Here are the top 10 season hitting percentages for members of two baseball teams, and you must determine which is the best-hitting team, defined as the average. You have to decide which type of average you use and why. Do this by hand or use SPSS.Team 1 Team 20.345 0.2430.254 0.3780.278 0.3120.331 0.2980.267 0.2870.465 0.3870.189 0.3010.312 0.4120.365 0.2540.287 0.342
Answers
The best-hitting team can be calculated by finding the mean of each team's hitting percentages. To do this, add the ten numbers for each team and divide by 10.
Team 1: (0.345 + 0.254 + 0.278 + 0.331 + 0.267 + 0.465 + 0.189 + 0.312 + 0.365 + 0.287) / 10 = 0.3125
Team 2: (0.243 + 0.378 + 0.312 + 0.298 + 0.287 + 0.387 + 0.301 + 0.412 + 0.254 + 0.342) / 10 = 0.3267
Team 2 has the highest mean, so it is the best-hitting team.
In this example, it was determined that Team 2 was the best-hitting team by finding the mean of each team's hitting percentages. The mean of Team 1's hitting percentages was 0.3125, and the mean of Team 2's hitting percentages was 0.3267. Since Team 2 had the highest mean, it was determined to be the best-hitting team.
The best-hitting team can be calculated by finding the mean of each team's hitting percentages. To do this, add the ten numbers for each team and divide by 10.
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The circle the right represents a planet. The radius of the planet is about 3900 miles. Find the distance d to the horizon that a person can see on a clear day from a 1461 feet above the planet. (Hint: Use the conversion factor 1 mile height h 5280 ft.) A person can see a distance of approximately miles on a clear day from a height of 1461 feet above the given planet. (Round to the nearest tenth as needed.)
Answers
A person can see a distance of approximately 32.9 miles on a clear day from a height of 1461 feet above the given planet.
d = 2 √(hR)
We can use the formula d = 2 √(hR) to calculate the distance d to the horizon that a person can see on a clear day from a 1461 feet above the given planet.
First, we need to convert the height of 1461 feet to miles. We can use the conversion factor of 1 mile = 5280 feet. Therefore, the height h = 1461/5280 ≈ 0.2772 miles.
Next, we need to find the radius of the planet. The radius of the planet is given as 3900 miles.
Finally, we can substitute h = 0.2772 miles and R = 3900 miles into the formula d = 2 √(hR).
d = 2 √(0.2772*3900) = 2 √(1083.08) ≈ 32.9 miles
Therefore, a person can see a distance of approximately 32.9 miles on a clear day from a height of 1461 feet above the given planet.
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Help asap please l don’t understand
Answers
b = men who like coffee = 58-36 = 22
c = men who don’t like coffee = 36
d = all women = 49
e = women who like coffee = 42-22 = 20
f = women who don’t like coffee = 49-20 = 29
Brenda is placing tile on her
bathroom floor. The area of the
floor is 15x2-8x - 7 ft². The area
of one tile is x² - 2x + 1ft². To find
the number of tiles needed,
simplify the rational expression:
15x²-8x-7
x²–2x+1
Answers
(15x+7)/(x-1) is the simplified rational expression
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Polynomials are algebraic expressions made up of coefficients and variables. Occasionally, variables are referred to as indeterminates. We can execute arithmetic operations on polynomial expressions, such as addition, subtraction, multiplication, and positive integer exponents, but not division by variables.
Factors of 15x²-8x-7 are (15x+7)(x-1)
Factors of x²–2x+1 are (x-1)²
15x²-8x-7 / x²–2x+1 = (15x+7)(x-1) / (x-1)²
common factors cancel out
(15x+7)/(x-1) is the simplified rational expression
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Write the equation of this line in slope-intercept form
Answers
Answer:
[tex]y = \frac{1}{3} x - 4[/tex]
[tex]\it y=ax+b\\ \\ x=0 \Rightarrow y=-4 \Rightarrow b=-4 \Rightarrow y=ax-4\\ \\ x=3 \Rightarrow y=-3 \Rightarrow a\cdot3-4=-3\bigg|_{+4}\Rightarrow a\cdot3=1 \bigg|_{:3}\Rightarrow a=\dfrac{1}{3} \\ \\ Therefore, the\ equation\ of\ this \ line\ is: \ \ y=\dfrac{1}{3}x-4[/tex]
determine whether the relation represents y as a function of x
x = y^2
determine whether the relation represents y as a function of x
x^2 + y^2 =25
show work
Answers
It is false that x is a function of y
How to determine the truth or falsity?The given equation to be used to determine the truth and falsity of the statement is given as:
The given parameters are function of x
x = y²
determine whether the relation represents y as a function of x
x^2 + y^2 =25
x = y²
Set y = 2
x = (2)²
Taking the square root of the value
x = 4
Set y = -2
x = (-2)²
x = 4
From the experiment, the different values of y give the same x value.
therefore, this means that x is not a function of y
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The walkway shows the dimensions of one paver stone used in the design.
What is the area of one paver stone?
6.5 in.
5.5 in.
Answers
The Equation For calculating the paver area is
Length(m) x width(m) = area(m²).
How to calculate Paver area?Concrete, natural stone, clay brick, or even porcelain can be used to make pavers. They are typically little fragments of varying sizes. Homeowners can choose from a variety of hues, patterns, and textures.
Divide your space into squares or rectangles and multiply the length by the width to find the square metres of paved surface. The total square metres should be included. There are about 38 pavers per square metre, although this varies depending on how many cuts are made and what laying pattern is used. Additionally, you must account for waste.
The area to be paved and the paver selected will determine how many pavers are required.
Determine the area that will be paved in square metres.
Equation : Length(m) x width(m) = area(m²).
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