Answer:
14.25 hours
Step-by-step explanation:
We know
2.25 hours = 1 yard
13.5 hours = 6 yards
1/3 yard = 2.25 / 3 = 0.75 hours
To find how long it takes him to complete 6 1/3 yards, we take
13.5 + 0.75 = 14.25 hours
So, he spent 14.25 hours mowing yards.
A rocket is launched upward in the air. The height of the rocket t seconds after it is released is approximated by the function.
h=16t^2+96t+10
a) Find the number of seconds that it takes for the rocket to reach the ground.
b) find the number of seconds that it will take the rocket to be at its highest maximum height.
c) find the maximum height of the rocket.
Step-by-step explanation:
a) To find the number of seconds that it takes for the rocket to reach the ground, we need to find the value of t when h = 0. We can set h = 0 and solve for t:
0 = 16t^2 + 96t + 10
To solve for t we need to use the quadratic formula:
t = (-b ± √(b^2 - 4ac))/2a
Where:
a = 16, b = 96 and c = 10
t = (-96 ± √(96^2 - 41610))/2*16
t = (-96 ± √(9216 - 640))/32
t = (-96 ± √(8576))/32
t = (-96 ± 92.8)/32
So the rocket will take approximately 2.89 seconds to reach the ground.
b) To find the number of seconds that it will take the rocket to be at its highest maximum height, we need to find the value of t when the derivative of h is equal to 0.
h' = 32t + 96
h' = 0
32t + 96 = 0
t = -3
So the rocket will take approximately -3 seconds to be at its highest maximum height.
c) To find the maximum height of the rocket, we need to substitute the value of t from part b into the equation for h:
h = 16(-3)^2 + 96(-3) + 10
h = 169 + 96(-3) + 10
h = 144 - 288 + 10
h = -134
So the maximum height of the rocket is approximately -134 feet.
suppose you have 5 blue marbles and 5 red marbles in a bag. you pull out one marble, which may be blue or red and do not replace it. what is the probability that the second marble will be red?
Therefore , the solution of the given problem of probability comes out to be probability that the second marble will be red = 0.5.
What exactly does the probability process entail?Calculating the likelihood that a statement is true or that an event will occur is the focus of the branch of mathematics known as probability theory. Any number from 0 to 1, where 1 represents certainty and 0 normally represents possibility, may be used to represent chance. The likelihood that a particular event will occur is depicted in a probability diagram. Probabilities can be represented by the numbers 0 and 1, percentages with a range of 0% to 100%, and a small number of extra characters. the proportion of incidents that occurred among a set of equally likely possibilities out of all potential outcomes
Here,
(p = 5/10) First Blue
Blue II (p = 4/9)
Red 2 (p = 5/9)
Primary Red (p = 5/10)
Blue II (p = 5/9)
Fourth Red (p = 4/9)
Interestingly, if you observe the first marble and then put it back in, the outcome will remain the same (sampling with replacement). The second draw doesn't depend on the first.
=> Pr(B, R) = Pr(B)*Pr(R)
=> (5/10), (5/10), (1/2), (1/2), and 1/4.
and
=>Pr(R, R) = Pr(R)*Pr(R)
=> (5/10), (5/10), and (1/2).
(1/2) = 1/4
Pr
R, R, or (B, R) = (1/4) + (1/4) = 1/2
Therefore , the solution of the given problem of probability comes out to be probability that the second marble will be red = 0.5.
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susie buys 3 pieces of pizza and 2 cookies for a total of 6.50. the next day she buys 1 piece of pizza and 1 cookie for 2.50. how much does a cookie cost
Answer:
1.00
Step-by-step explanation:
You want to know the price of a cookie when 3 pizza slices and 2 cookies cost 6.50, while 1 pizza slice and 1 cookie costs 2.50.
EliminationWe can write equations for the costs as ...
3p +2c = 6.50
p + c = 2.50
Multiplying the second equation by 3 and subtracting the first equation eliminates the variable p.
3(p +c) -(3p +2c) = 3(2.50) -(6.50)
3p +3c -3p -2c = 7.50 -6.50 . . . . . . . eliminate parentheses
c = 1.00 . . . . . . . . . simplify
The cost of a cookie is 1.00.
The distance between two points can be determined by the
of the real number values of the two points.
Answer: The absolute value of the difference
Step-by-step explanation:
Hope this helps
Arnold is testing a new train locomotive on circular rail track with a radius of 0. 9 kilometers. How many times around the track does Arnold need to run the train to cover a distance of at least 50 kilometers?
So, Arnold needs to run the train 9 times around the track to cover a distance of at least 50 kilometers.
We know that the radius of the circular rail track is 0.9 kilometers, so the circumference of the track can be found using the formula C = 2πr, where C is the circumference and r is the radius of the circle.
C = 2 * 3.14 * 0.9 = 5.652 km
To find out how many times Arnold needs to run the train around the track to cover a distance of at least 50 kilometers, we need to divide 50 by the circumference of the track.
50 km / 5.652 km = 8.9
Arnold needs to run the train around the track approximately 8.9 times to cover a distance of at least 50 kilometers.
To be more precise, we can round up the result, so Arnold needs to run the train 9 times around the track to cover a distance of at least 50 kilometers.
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Tamara likes to run on the treadmill. If she runs at a speed of 5.75 miles per hour for 0.92 hours, how many miles does she run? Recall distance = speed x time. Estimate to check your answer.
PLEASE BE ACCURATE!!! Thank you!!!:)
In order to finish a marathon in 4 hours, your average pace needs to be 9 min, 9.62 sec per mile, or 9:9.62 minutes per mile.
What is meant by marathon?
The marathon is a long-distance foot race that takes place over a distance of 42.195 km (26 mi 385 yards), though it can also be done on trail routes.You can run the marathon or use a run/walk method to finish it. There are several categories for wheelchairs.There are more than 800 marathons organized annually throughout the world, and while larger marathons can draw tens of thousands of competitors, the vast majority of those running them are recreational athletes.In 1896, the marathon was one of the first modern Olympic competitions. Before 1921, the distance was not standardized. The 1983-starting World Athletics Championships also feature the distance.To learn more about marathon refer to
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it takes bill 2 hours longer to do a certain job than it takes cindy. they worked together for 2 hours, then cindy left and bill finished the job in 1 hour. how long would it take each of them to do the job alone
It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
Let x be the time it takes Cindy to do the job alone, in hours. Then, it takes Bill x + 2 hours to do the job alone.
During the first 2 hours, when they worked together, they did 2/x + 2/(x + 2) = 1/2 of the job.
Bill finished the job in 1 hour after Cindy left, so he did 1/x + 2 = 1/3 of the job during that hour.
We can now set up a system of two equations to solve for x:
2/x + 2/(x + 2) = 1/2 (1)
1/x + 2 = 1/3 (2)
From equation (1), we can find x + 2:
2/x + 2/(x + 2) = 1/2
2x + 4 = x(x + 2)
2x + 4 = x^2 + 2x
x^2 - 2x + 4 = 0
(x - 4)(x - 1) = 0
x = 4 or x = 1
Since x represents the time it takes Cindy to do the job, we reject x = 4 and keep x = 1.
Substituting x = 1 into equation (2), we find:
1/1 + 2 = 1/3
3 = 3
So, it takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
Therefore, It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
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It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
Let x be the time it takes Cindy to do the job alone, in hours. Then, it takes Bill x + 2 hours to do the job alone.
During the first 2 hours, when they worked together, they did 2/x + 2/(x + 2) = 1/2 of the job.
Bill finished the job in 1 hour after Cindy left, so he did 1/x + 2 = 1/3 of the job during that hour.
We can now set up a system of two equations to solve for x:
2/x + 2/(x + 2) = 1/2 (1)
1/x + 2 = 1/3 (2)
From equation (1), we can find x + 2:
2/x + 2/(x + 2) = 1/2
2x + 4 = x(x + 2)
2x + 4 = x² + 2x
x² - 2x + 4 = 0
(x - 4)(x - 1) = 0
x = 4 or x = 1
Since x represents the time it takes Cindy to do the job, we reject x = 4 and keep x = 1.
Substituting x = 1 into equation (2), we find:
1/1 + 2 = 1/3
3 = 3
So, it takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
Therefore, It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.
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Subtract the two polynomials:
(3x^5-2x^4-5)-(2x^4-10)
Answer:
3x5−4x4−x2+5
Simplify the expression.
can you give answer for this
it's urgent please
I need help understanding how to find the outer perimeter.
Answer:
im doing the same thinggg okay so to find the outer perimeter you have to divide that shape up so start with the triangle with the right angle.
Step-by-step explanation:
i would just go on yt and watch a vid on how
Please help!! urgent!! 25 points
Answer:
33 15/16
Step-by-step explanation:
a relation where every input has exactly one output
Function is a relation where each input has exactly one output.
A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, co domain, and domain. The usual way to refer to a function is as f(x), where x is the input.
The link between INPUT and OUTPUT is demonstrated by the relation. A function, on the other hand, is a relation that yields one OUTPUT for each given INPUT.
Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co domain, respectively.
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Which equation would calculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder shown?
a cylinder with the diameter labeled 2.4 centimeters and the height labeled 3.8 centimeters
SA = 2π(1.2)2 + 1.2π(3.8)
SA = 2π(2.4)2 + 2.4π(3.8)
SA = 2π(1.2)2 + 2.4π(3.8)
SA = 2π(2.4)2 + 1.2π(3.8)
The amount of wrapping paper, in square centimeters, needed to completely cover the cylinder is SA = 2π(1.2)² + 1.2π(3.8).
How to find the lateral surface area of a cylinder?The lateral surface area of a cylinder is also called the curved surface area of the cylinder.
Suppose that Radius of the considered cylinder = 'r' units
Height of the considered cylinder = 'h' units
Then, the lateral surface area of that cylinder is:
[tex]S_L = 2\pi r h \: \rm unit^2[/tex]
We are given that a cylinder with the diameter labeled 2.4 centimeters and the height labeled 3.8 centimeters.
Therefore, we have;
Diameter = 2.4 cm
Height = 3.8 cm
Radius = 1.2 cm
So, The total area is;
SA = 2π(1.2)² + 1.2π(3.8).
The amount of wrapping paper,needed to completely cover the cylinder
SA = 2π(1.2)² + 1.2π(3.8).
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Answer: The answer you're looking for is A.
Step-by-step explanation: 7th-grade math exam used the answer from the person above and they were right!
a store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. how many ways are there to choose:
The number of ways to choose 32 candies is 58,905 ways.
How many combinations of r items are there from n different items?A combination is a way of choosing items from a collection in which the order of selection does not matter.
The number of combinations of n items taken r at a time is determined by the following formula:
[tex]^{(n+r-1)} C_{(r-1)}[/tex]
where:
n represents the total number of items; and
r represents the number of items being chosen at a time.
In this case, a store is selling 5 types of candies, which means the number of types of items or r = 5. And being questioned the number of ways to choose 32 candies, which means the number of items or n = 32.
So, n = 5 and r = 32. Now, substitute both values into the formula:
= [tex]^{(n+r-1)} C_{(r-1)}[/tex]
= [tex]^{(32+5-1)} C_{(5-1)}[/tex]
= [tex]^{36} C_{4}[/tex]
= [tex]\frac{36!}{4!(36-4)!}[/tex]
= 58,905
Hence, the number of ways to select 32 candies is 58,905.
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Although part of your question is missing, you might be referring to this full question: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose 32 candies?
A bug is crawling down a tree at a rate of -7 millimeters per second . The bug passes a big beach which we will call position 0 which equation reprints the bugs positions 8 seconds after it passes the branch
Answer: The equation representing the position of the bug 8 seconds after passing the branch is given by:
x = -7t + 8, where x is the position in millimeters and t is the time in seconds.
Step-by-step explanation:
How do you find the domain of f for FX?
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.
The domain of a function is defined as the set of inputs accepted by the function. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
Consider the function y = f(x), which has the independent variable x and the dependent variable y.
A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.
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what's the height of the prism? h, 6 square inches, volume=42 cubic inches
Answer:64
Step-by-step explanation: i did the test
What is the difference between 5,198 and 8,250
Answer: 3052
Step-by-step explanation: 8250 - 5198 = 3052
Suppose you started at the point (4, 5). From there, you moved down 10 units, and left 8. At what coordinate would you be?
Answer:
(- 4, - 5 )
Step-by-step explanation:
a vertical move down means subtract 10 from the y- coordinate
a horizontal move left means subtract 8 from the x- coordinate
(4, 5 ) → (4 - 8, 5 - 10 ) → (- 4, - 5 ) ← end point
Point D is located at (-6,-5) on the coordinate plane. Point D is reflected over the x-axis to create point D' . What ordered pair describes the location of D'
The ordered pair which describes the location of D' include the following: (-6, 5).
What is a reflection?In Geometry, a reflection over the x-axis is given by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
By applying a reflection over the x-axis to the coordinates of this triangle the image coordinates include the following:
(x, y) → (x, -y)
Ordered pair D = (-6, -5) → Ordered pair D' = (-6, -(-5)) = (-6, 5).
In conclusion, we can logically deduce that the location of D' after a reflection over the x-axis is (-6, 5).
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How is no solution described?
No solution can be described as a situation in which there is no solution or outcome that meets the needs of all parties involved.
When no solution is present, it is often because the problem is too complex or the parties involved have conflicting interests.
This can lead to a stalemate between parties, leaving no one satisfied with the outcome.
No solution can also be the result of a lack of resources or other constraints. It is important to recognize when no solution is present in order to move forward and find a suitable alternative.
No solution can be defined as a problem or situation without a clear answer or resolution. It can be a complex issue that is difficult to solve or a situation with no path forward.
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twice the length decreased by 5. (grade 7)
Answer: 2x-5
Step-by-step explanation: twice=2 the lenght=x We don't know the length, and decreased= subtract sign
2x-5
Please answer 2,4,6,8,10,12,14,16,18,20,22 and 24
The answers are given below.
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given:
2) -23×0×43=0
4) 9× -8× -3=216
6) (-56)/-8=7
8) 144/-6=-24
10) 124/-4 = -31
12) -(-4)×3=12
14)-(-6)=6
16) -36×3 / -6 =18
18) 7×(-5)×8=280
20) 8×9/-3=-24
22) -12×6×3 /-8=27
24)17×-4×-1/ -2/-1=34
Hence, The answers are given above.
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Milos is an avid maker of tinctures, which are concentrated liquid forms of natural herbs. One common herb that is formed into a tincture is the vanilla bean, which is sold in stores under the moniker Vanilla Extract. One means by which to create a tincture is by soaking the herb in grain alcohol for several weeks. It is possible to purchase grain alcohol called Everclear, which is 97% alcohol; However, vanilla requires a 60% alcohol solution (97% is too strong). To adjust for alcohol that is too strong, the solution can be diluted with water (0% alcohol) to achieve the desired concentration. Suppose Milos is planning on making a 12-ounce vanilla extract. How much water and alcohol should he use?
The alcohol required to make 12 ounce vanilla extract is 7.42 ounces.
In the given question, we have to find how much water and alcohol he should use.
Given that vanilla extract requires a 60% alcohol solution and that Given that the pure alcohol content in 12 ounces of vanilla extract is 97%.
Let x denote the alcohol required in ounces.
Let y represent the needed water in ounces.
Then, we must find x and y such that
x + y = 12
Given the desired strength, the volume needed, and the pure alcohol percentage, the following formula can be used to determine the pure alcohol:
Required Pure Alcohol = Desired strength × Volume required Pure alcohol content
x = 60 × 12
97x = 7.42
Therefore the alcohol required to make 12 ounce vanilla extract is 7.42 ounces.
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Which one of the following equations is correctly written in Standard Form?
2x + 5y =10.This is a equations is correctly written in Standard Form.
What is meant by Standard Form?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.Standard form refers to any number that can be expressed as a decimal number and falls within the range of 1.0 and 10.0 when multiplied by a power of 10.The equation's standard form, which is the widely recognized form, is represented by the standard form formula. For instance, the terms with a higher degree should be written first when writing a polynomial, and its coefficients must be expressed in integral form.To learn more about Standard Form refer to
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What is the equation for the graph given below?
The equation for the graph given below is option B. x² + (y + 4)² = 4 because, axis y is a plus 4.
What is an equation?An equation is a mathematical statement that states that two expressions are equal. It is usually written using an equals sign, with the expressions on either side of the equals sign separated by operators such as plus and minus signs or multiplication and division symbols.
Therefore, the mathematical expression that indicates or expresses the graph attached if option B.
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#4 PLS HELP 8.03 Reflections
The requried coordinates of the image of the given triangle is A'(-2, 3), B'(-5, 6), and C' (-6, 0).
What is coordinate?Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
Here,
Coordinate of the given triangle before reflection across the y-axis,
A = (2, 3)
B = (5, 6)
C = (6, 0)
Since reflection is to be performed across the y-axis,
So the equation of the trasformation is given as,
Triangle A'B'C' ⇒ (-x,y)
So the coordinate of the image formed is given as,
A'(-2, 3), B'(-5, 6), and C' (-6, 0).
Thus, the requried coordinates of the image of the given triangle is A'(-2, 3), B'(-5, 6), and C' (-6, 0).
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Please help !!!!meeeeee
Answer: 3
Step-by-step explanation:
Answer:
No. Divide the group of 12 small blue squares by small groups of 4 small blue squares, and you get 3, not 0.03.
Step-by-step explanation:
6.
The large square is divided into small squares. There are 10 small squares on each side of the large square. Since 10 × 10 = 100, the large square is divided into 100 small squares.
The large square is 1 unit.
Since the large square, 1 unit, is divided into 100 small squares, then each small square represents 1/100 of a unit, or 0.01 unit as a decimal.
There are 12 small squares shaded blued.
Each small square is 0.01 unit, so 12 squares represent 12 × 0.01 = 0.12.
The group of 12 small squares is divided into 3 smaller groups of 4 small squares each. Each group of 4 small squares represents 4 × 0.01, or 0.04.
Now we are asked what 0.12 ÷ 0.04 equals.
Look at the figure. The 0.12 of the entire blue shading makes up 3 groups of 0.04 size, so 0.12 ÷ 0.04 = 3.
The division 0.12 ÷ 0.04 is the same as asking how many groups of 4 small squares can you fit in the group of 12 small squares? The answer is 3.
0.12 ÷ 0.04 = 3
The answer 0.12 ÷ 0.04 = 0.03 is incorrect.
Answer: No. Divide the group of 12 small blue squares by small groups of 4 small blue squares, and you get 3, not 0.03.
Compute the mean cost of repair. Select the correct choice below and, if necessary, fill in the answer box to complete
your choice, please help and explain
The Mean is 391.75, the Median is 441, and no mode.
What is a mean median and mode?
The mean is the average of a set of numbers, calculated by adding all the numbers together and dividing by the number of items in the set. The median is the middle value in a set of numbers, or the average of the two middle values if the set has an even number of items. The mode is the most frequently occurring value in a set of numbers.
Data: $436, $403, $479, and $249.
Mean = SUm of all observation / total no. of observations.
Mean = 436 + 403 + 479 + 249 / 4.
Mean = 391.75
No. of terms n = 4(even)
Median = (n/2+(n/2 + 1)) / 2
Median = 403 + 479 / 2
Median = 441.
Mode is the value repeating the more no. of times
So, there is no mode.
Hence, the Mean is 391.75, the Median is 441, and no mode.
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State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family in the photo. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40 hour work weeks per month and each part-time worker works four 40 hour weeks per month.
Full-time worker minimum monthly income = US$ 7,846.40
Part-time worker minimum monthly income = US$ 7,846.40
Full-time worker hourly wage = US$ 49.04
Part-time worker hourly wage = US$ 98.08
Explanation:1.Review the information
Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 5841
Full-time worker = 4 weeks of 40-hour per month
Part-time worker = 2 weeks of 40-hour per month
2. Let's calculate the minimum monthly income and hourly wage per worker
Full-time worker hourly wage = Monthly costs/160
Part-time worker hourly wage = Monthly costs/80
Full-time worker hourly wage = 5841/160
Part-time worker hourly wage = 5841/80
Full-time worker hourly wage = US$ 36.5
Part-time worker hourly wage = US$ 73
Full-time worker minimum monthly income = Hourly wage * 160
Part-time worker minimum monthly income = Hourly wage * 80
Full-time worker minimum monthly income = US$ 5840
Part-time worker minimum monthly income = US$ 5840
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