Jennifer and Cristina run a race
Jennifer finishes in 33.9 seconds
and Cristina finishes in 38.4
seconds. What is the difference in
the race times?
Show your work
Answers
Answer:
4.5 seconds
Step-by-step explanation:
The difference means subtraction.
So, we just subtract 33.9 from 38.4 to find the difference:
38.4 - 33.9
4.5
The difference is 4.5 seconds
Related Questions
In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Landon sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.
28 visitors purchased no costume.
319 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase exactly one costume as a fraction in simplest form.
Answers
The probability that the next person will purchase exactly one costume is 319/381.
How to solveThe overall count of individuals who visited includes all categories of visitors, which comprises of 28 individuals who didn't buy any costume, 319 individuals who acquired one costume, and 34 individuals who bought more than one costume, hence making a total of 381 visitors.
To determine the likelihood of an occurrence, one must divide the number of possible ways that the event could happen by the overall number of potential outcomes.
. Here, the event is a visitor purchasing exactly one costume.
So, the probability that the next visitor will purchase exactly one costume is the number of visitors who purchased exactly one costume (319) divided by the total number of visitors (381).
Therefore, the probability can be written as a fraction 319/381. This fraction cannot be simplified further.
Hence, the probability that the next person will purchase exactly one costume is 319/381.
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Outside a home there is a keypad that will open the garage if the correct four-digit code is entered.
(a) How many codes are possible?
(b) What is the probability of entering the correct code on the first try, assuming that the owner doesn't remember the code?
Answers
Answer:
a: 210 codes are possible.
b: 1/210 is the probability of entering the correct code.
a) There are 1024 codes are possible.
b) The probability of entering the correct code on the first try is 1/1024.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
Given:
a)There are 4 possible numbers (1,2,3,4) that can be placed in 5 places. Therefore the are
N = {\(4^5\)}
= 4 x 4 x 4 x 4 x 4
= 1024
b) If we don't know the code (or it's part) we do it at 'full' random, so the probability
= 1/ 1024
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You purchase a new jet ski today. The value of that jet ski depreciates based on the function f(t) = 8,500(0.72)t, where t is measured in years after purchase. How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
Answers
We conclude that after 7/4 years the value of the jet ski is $4,784
How much is the jet ski worth after 7/4 years, rounded to the nearest dollar?
The value of the jet ski is given by the exponential equation:
f(t) = 8,500*(0.72)^t
Where t is the time in years, to get the value of the jet ski after 7/4 years, we just need to evaluate the above function in t = 7/4, where evaluating means that we need to replace the variable t by the given number, then we will get:
f(7/4) = 8,500*(0.72)^(7/4) = 4,783.55
If now we need to round it to the nearest dollar, then we round upwards to 4,784
In this way, we conclude that after 7/4 years the value of the jet ski is $4,784
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how do you change the equation 10q−5r=30 so that r is the independent variable?
Answers
Answer:
r=2q-6
Step-by-step explanation:
10q-5r=30
Subtract 10q from both sides:
-5r=30-10q
Divide both sides by -5:
r=2q-6
Hope this helps!
Which of these function has a greater rate of change than the function graphed bean why
1
3
12
.
12
Oya 2x + 12, because the rate of change of the graphed function is 9
y = 10x + 1, because the rate of change of the graphed function is 3
Oy10x 1, because the rate of change of the graphed function is 9
y = 212, because the rate of change of the graphed function in 3
Answers
Answer:
The 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
Step-by-step explanation:
From the graph,
Taking two points
(0, 0)(3, 9)Finding the rate of change or slope between (0, 0) and (3, 9)
Using the formula
Rate of change = Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [9 - 0] / [3 - 0]
= 9 / 1
= 3
Thus, the rate of change or slope of the line = m = 3
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the rate of change or slopeb is the y-interceptConsidering the function in 2nd option
y = 10x+1
Comparing with the slope-intercept form of the line equation y = mx+b
The rate of change or slope = m = 10
Conclusion:
The rate of change or slope of the graphed line: m = 3
The rate of change or slope of y = 10x+1 is: m = 10
Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.
Hence, the 2nd option is correct.
i.e.
y = 10+1, because the rate of change of the graphed function is 3.
14) Evaluate each indefinite integral. SHOW STEPS
Answers
As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.
What is meant by an integral in math?In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).
9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x
Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:
∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du
= -3/2 × u⁵ / 5 + C
= -3/10 csc⁵-3x + C
Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.
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\(\sqrt{-3x} +55=x-9\)
Answers
The equation √(-3x) + 55 = x - 5 has no solution in the real number system.
To solve the equation √(-3x) + 55 = x - 5, we need to isolate the variable x.
Here's how we can do it step by step:
Subtract 55 from both sides of the equation:
√(-3x) = x - 60
Square both sides of the equation to eliminate the square root:
\((\sqrt{(-3x))} ^2 = (x - 60)^2\)
\(-3x = (x - 60)^2\)
Expand the right side of the equation:
\(-3x = x^2 - 120x + 3600\)
Move all terms to one side of the equation to form a quadratic equation:
\(x^2 - 120x + 3600 + 3x = 0\)
\(x^2 - 117x + 3600 = 0\)
Solve the quadratic equation by factoring, completing the square, or using the quadratic formula.
Let's use the quadratic formula:
x = (-(-117) ± √(\((-117)^2\) - 4(1)(3600))) / (2(1))
x = (117 ± √(13689 - 14400)) / 2
x = (117 ± √(-711)) / 2
Since we have a negative value under the square root, the equation does not have real solutions.
The equation √(-3x) + 55 = x - 5 has no solution in the real number system.
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I need help I haven’t been here a week and I don’t understand my homework
Solve either
Answers
Answer: you need to add
Step-by-step explanation: I would ask your teacher to help you understand the lesson.
2,1 reflected over the x axis?
HELP PLEASEEE...
Answers
Answer:
(2,-1)
Step-by-step explanation:
Reflecting over the x-axis means the y values become negative
1. You pay $10 to play the following game of chance. There is a bag containing 12 balls, five are red, three are
green and the rest are yellow. You are to draw one ball from the bag. You will win $14 if you draw a red ball and
you will win $12 is you draw a yellow ball. How much do you expect to win or loss if you play this game 100
times?
O a
-2.40
Ob -1.67
Oc -16.67
Od -24.00
Answers
Answer:
Step-by-step explanation:
How do the number line graphs of the solutions sets of -23 > X and X2-23 differ?
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in
opposite directions, but they have the same endpoint.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open
circles.
O One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but
they use arrows that point in the same direction.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed
circles.
Answers
Answer:
the answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
Answer:
A as in apple
Step-by-step explanation:
A company charges a customer$50 to bring an excavator to thier home in addition to $45 per hour for the service A customer has budgeted $275 to spend on excavation and the number of hours the excavator is hired is represented by h, determine the maximum number of hours the customer can afford to hire the excavator, (this isn’t part of the question but it uses inequality signs with elimination method or something like that)
Answers
Answer:
the answer is 5 hours or less which is 5 and the < sign with line under which means they have equal to and less than that so the most hours they can do is 5
Step-by-step explanation:
you have 275
you subtract 50 from 275
275-50=225
divide 225 by 45
225/45=5
Statistical data of breakdowns of computer XXX show that the duration for trouble-free operation of the machine can be described as a gamma distribution with a mean of 40 days and a standard deviation of 10 days. The computer is occasionally taken out for maintenance in order to insure operational condition at any time with a 95% probability.
1. How often should the computer be scheduled for maintenance? Should it be shorter or longer than the mean of 40 days?
2. Three XXX computers were acquired at the same time by an engineering consulting firm. The computers are operating under the same environment, workload, and regular maintenance schedule. The breakdown times between the computers, however, may be assumed to be statistically independent. What is the probability that at least one of the three machines will break down within the first scheduled maintenance time?
Answers
1. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
2. Probability of no breakdowns = (reliability of a single machine)^3. Probability of at least one breakdown = 1 - Probability of no breakdowns
1. To determine how often the computer should be scheduled for maintenance, we need to consider the reliability and the desired level of operational condition. Since the duration for trouble-free operation follows a gamma distribution with a mean of 40 days, this means that, on average, the computer can operate for 40 days before a breakdown occurs.
To ensure operational condition with a 95% probability, we can calculate the maintenance interval using the concept of reliability. The reliability represents the probability that the machine will not break down within a certain time period. In this case, we want the reliability to be 95%, so the probability of not breaking down is 0.95.
Using the gamma distribution parameters, we can find the corresponding reliability for a specific time duration. By setting the reliability equation equal to 0.95 and solving for time, we can find the maintenance interval:
reliability = 0.95
time = maintenance interval
Using reliability and the gamma distribution parameters, we can calculate the maintenance interval.
2. To calculate the probability that at least one of the three machines will break down within the first scheduled maintenance time, we can use the complementary probability approach.
The probability that none of the machines will break down within the first scheduled maintenance time is given by the reliability of a single machine raised to the power of the number of machines:
Probability of no breakdowns = (reliability of a single machine)^3
Since the breakdown times between the machines are statistically independent, we can assume that the reliability of each machine is the same. Therefore, we can use the reliability calculated in the first part and substitute it into the formula:
Probability of at least one breakdown = 1 - Probability of no breakdowns
By calculating this expression, we can determine the probability that at least one of the three machines will break down within the first scheduled maintenance time.
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solve the inequality x³-9x > 0
Answers
The inequality is -3<x<0 and x>3.
We have given that,
\(x^3-9x > 0\)
We have to factor above equation
\(x\left(x+3\right)\left(x-3\right) > 0\)
What is inequality?Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
After the solving the inequality we get,
\(-3 < x < 0\quad \mathrm{or}\quad \:x > 3\)
Therefore we get the inequality is -3<x<0 and x>3.
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What is the best description of originality?
nonobvious
special or interesting
convergent
having a low probability, unique
Answers
Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.
An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.
Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.
Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.
Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.
In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.
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Define complex fractions. Give two examples of a complex fraction
Answers
find the midpoint of (-1,2) (-4,-9)
Answers
Answer:
use this info to help answer it
Measure the distance between the two end points, and divide the result by 2. This distance from either end is the midpoint of that line. Alternatively, add the two x coordinates of the endpoints and divide by 2. Do the same for the y coordinates.
Find the product of squareroot 6 x squareroot 12
Answers
Answer:
\(\sqrt{72}\) or \(6\sqrt{2}\)
Step-by-step explanation:
\(\sqrt{6}\times \sqrt{12}=\\\\\sqrt{6\times 12}= \\\\\sqrt{72}= \\\\6\sqrt{2}\)
Hope this helps!
Answer:
8.48 or 8.4
Step-by-step explanation:
the answer is 8.48528137424 but when you round it you get 8.48
how many ft is equal to 1.66m
Answers
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Clara has 3 bottles of paint. She buys 5 more bottles of paint. If she uses 1/4 bottle of paint to paint a picture, how many similar paintings can she paint with all the paint?
ANSWER:
She has 3+5=8 bottles of paint. 1/4 bottle paints a picture.
8 divided by 1/4 = 32 paintings possible with all the paint
Answers
Answer:
32 Paintings
Step-by-step explanation:
8 Bottles 4 per one bottle so 8x4 =32
Hoped this helped.
. Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
Answers
B làm k cho mình KQ với
Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x
Answers
The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1
To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.
Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.
Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.
On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.
Option 1 is correct.
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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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i need help asap
than you!
Answers
The highest height for the daily rainfall were for 5 and 6 inches
How to Interpret Dot Plots?Dot plots are used to present data in the form of points or small circles. It is similar to a simplified histogram or bar graph in that the height of the bar made up of points represents the numerical value of each variable. Dot plots are used to represent small amounts of data.
From the given dot plot, we see the number of times for each height of rainfall.
Thus, we see that the highest number of times of rainfall height was from that of 5 and 6 inches.
Thus, we conclude those were the highest heights for the daily rainfall.
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What meaning of the statement this?
Answers
Note that the notation "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.
What is the explanation of this ?∪C : This represents the union (∪) of the sets in C.
{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.
It states that an element x belongs to the union of sets in C if and only if x belongs to at least one set S that is an element of the set C.
= ∪{ S:S ∈ C} : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.
In summary, the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.
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Kim earns her living as a salary plus commission employee her annual salary is $57,000 and she earns 5% commission on all sales he makes if Kim wants to make a total of $6000 this month how much is sales if you need to have
Answers
Answer:
salary is $57000, and she earns 5% comm… Get the answers you need, now! ... living as a salary plus commission employee. Her annual salary is $57,000, and she earns 5% commission on all sales she makes. If Kim wants to make a total of 6,000 this month, how much in sales does she need to have?
Step-by-step explanation:
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. tan t, sec t; Quadrant III
Answers
tan(t) = √(sec(t)² -1) is the first expression in terms of the second if the terminal point determined by t is in the given quadrant
Given,
tan t, sec t; Quadrant III
We have to write the first expression in terms of the second if the terminal point determined by t is in the given quadrant
Quadrant;
The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant. The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
Here,
The relation between tan and sec;
tan(t)² +1 = sec(t)²
Now,
tan(t) = ±√(sec(t)² -1)
In the third quadrant the tangent is positive;
Then,
tan(t) = √(sec(t)² -1)
That is,
The expression we need here is tan(t) = √(sec(t)² -1)
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What is the length of an edge of a cube whose total surface area is equal to 150 square feet? A. 7.5 ft B. 5 ft C. 10 ft D. 25 ft
Answers
Answer:
5 ft
Step-by-step explanation:
Using the formula,
A = 6a²
a² = A/6
a = √(A/6)
a =√(150/6)
a = √25
a = 5
The area of a 2D form is the amount of space within its perimeter. The length of the edge of the cube is 5 ft. The correct option is B.
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The total surface area of a cube is 6 times the area of a face which is equal to the square of side of the cube. Therefore, the total surface area of the cube is,
Total surface area of cube = 6a²
Given that the total surface area of the cube is 150 square feet. Therefore, the length of the side of the cube can be written as,
Total surface area of cube = 6a²
150 square feet = 6a²
150 square feet / 6 = a²
25 ft² = a²
a = √(25 ft²)
a = 5 ft
Hence, the length of the edge of the cube is 5 ft.
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Solve for x right triangle trig
Answers
The length of the side GF is equal to 0.96 according to Pythagoras's Theorem.
Given angle ∠E = 16°
Length of side GE = 3.5
Also the given angle is right angled triangle. So ∠F = 90°.
Now we need to find the length of side GF.
Use Pythagoras's theorem to find the length GF.
Formula: \(C^{2} =A^{2} +B^{2}\)
i.e., \(GE^2=GF^2+EF^2\)
Now, according to trigonometric rules, sinФ= opposite /hypotenuse
cosФ = adjacent / hypotenuse
tanФ = opposite / adjacent
Now, sum of all angles = 180°
So ∠G = 180°-90°-16° = 74°
∠G = 74°
Now, sin 16° = x/3.5 = opposite / hypotenuse
x = 0.275 x 3.5
x= 0.96
Therefore, the length of the side GF (x) is equal to 0.96.
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Pls help it’s algebra 1
Answers
Answer:
Y+1=-1/2(x-4) the very bottom choice trust me its in point slope form and since the 1 is negative it turns into a positive for the equation and adds to the Y
Step-by-step explanation: