Adding the initial 192 miles, the plane has flown approximately 1029.9 miles 2 hours into the flight.
An airplane leaves New York City and heads towards Los Angeles. After flying for 32 minutes (0.53 hours), it reaches cruising altitude and has flown 192 miles. The plane then flies for an additional 60 minutes (1 hour), totaling 92 minutes (1.53 hours) and covering 762 miles. To determine the total miles flown 2 hours into the flight, we first find the constant speed at cruising altitude: (762 miles - 192 miles) / (1.53 hours - 0.53 hours) = 570 miles/hour. Since the plane reaches cruising altitude after 0.53 hours, it flies at a constant speed for (2 hours - 0.53 hours) = 1.47 hours. The total miles flown at cruising altitude is 570 miles/hour x 1.47 hours = 837.9 miles. Adding the initial 192 miles, the plane has flown approximately 1029.9 miles 2 hours into the flight.
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let d:c[infinity](r)→c[infinity](r)d:c[infinity](r)→c[infinity](r) and d2:c[infinity](r)→c[infinity](r)d2:c[infinity](r)→c[infinity](r) be the linear transformations defined by the first derivative
The linear transformations d and d2 are defined by taking the first derivative of a function in the space of smooth functions c[infinity](r). In other words, given a function f in c[infinity](r), d(f) is the function that represents the rate of change of f at each point in r, while d2(f) represents the rate of change of d(f).
To understand this concept better, consider an example of a function f(x) = x² in the interval r = [0, 1]. The derivative of f is f'(x) = 2x, which represents the slope of the tangent line to the curve of f at each point x in the interval. Thus, d(f)(x) = 2x. Similarly, the second derivative of f is f''(x) = 2, which represents the curvature of the curve of f at each point x in the interval. Thus, d2(f)(x) = 2.
These linear transformations are important in the study of differential equations and calculus. They allow us to represent the behavior of functions in terms of their rates of change, and to derive new functions from existing ones based on these rates of change. Additionally, these transformations have applications in physics, engineering, and other areas of science where the study of rates of change is essential.
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The test scores for the students in two classes are summarized in these box plots.
• The 20 students in class 1 each earned a different score.
• The 12 students in class 2 earned a different score.
What is the difference between the number of students who earned a score of 90 or greater in class 2 and the number of students who earned a 90 or greater in class 1?
A. 1
B. 2
C. 5
D. 7
The difference between the number of students who earned a score of 90 or greater in class 2 and those who earned a 90 or greater in class 1 is 1.
The test scores for the students in the two classes are summarized in these box plots. To find the difference between the number of students who earned a score of 90 or greater in class 2 and the number of students who earned a 90 or greater in class 1, we need to count the number of students that earned 90 or greater in each class and take the difference.
The answer to this question is the difference between the number of students who earned a score of 90 or greater in class 2 and those who earned a 90 or greater in class 1. We can get this by counting the number of students who score 90 or greater in each class and then taking the difference between the two. The box plot for class 1 shows that there is only one student who has a score of 90 or greater.
The box plot for class 2 shows that two students scored 90 or greater. Thus, the difference between the number of students who earned a score of 90 or greater in class 2 and those who earned a 90 or greater in class 1 is 2 - 1 = 1. Therefore, the correct option is A: 1.
To find the difference between the number of students who earned a score of 90 or greater in class 2 and the number of students who earned a 90 or greater in class 1, we need to count the number of students that earned 90 or greater in each class and take the difference. A box plot is a graphical dataset representing the median, quartiles, and extreme values. It is used to depict data distribution visually. In the question, two box plots represent the data of two different classes.
The box plot for class 1 shows that there is only one student who has a score of 90 or greater. The box plot for class 2 shows that two students scored 90 or greater. We can see that the box plot of class 1 is short and has only one whisker pointing up, indicating that there is only one student who scored higher than the median. The box plot of class 2, on the other hand, is longer and has two whiskers pointing up, indicating that two students scored higher than the median.
Therefore, the difference between the number of students who earned a score of 90 or greater in class 2 and those who earned a 90 or greater in class 1 is 1.
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Need asap! Find the following values for o P. APE=25x+15° DPE=33x-9° CPD=20+4°
Answer:
arc BC = 26°
arc AB = 90°
arc CAB = 334°
Step-by-step explanation:
The angles of a linear pair total 180°. This fact lets us write an equation for x that helps us find the measures of all the angles and arcs. The arcs of a circle total 360°.
__
equation∠APE +∠EPD = 180°
(25x +15)° +(33x -9)° = 180°
58x = 174 . . . . . . divide by °, subtract 6
x = 3 . . . . . . . . divide by 58
anglesAngle APE is ...
∠APE = (25x +15)° = (25·3 +15)° = 90°
Then ...
∠EPD = 180° -90° = 90°
∠DPC = (20·3 +4)° = 64°
∠CPB = 90° -64° = 26°
arcsarc BC = ∠BPC = 26°
arc AB = ∠APB = 180° -90° = 90°
arc CAB = 360° -arc AB = 334°
and the feature below, two chords intersect inside the circle at point U. suppose that UM = 26, UJ = 13, and UK =39. Find UN.
The Intersecting Chords theorem states that the products of the line segments on each chord are equal. In other words,
\(UM\cdot UN=UJ\cdot UK\)We already know that UM = 26, UJ = 13, and UK = 39. Putting these values in the above equation gives us
\(26\cdot UN=13\cdot39\)\(26\cdot UN=507\)Dividing both sides by 26 gives
\(\textcolor{#FF7968}{UN=19.5.}\)which is our answer!
Help me out guys ! I’m lost !!
The point that belongs in the inverse variation along with (3, -4) is option A, (-2, 6).
What is a Point of an Inverse Variation?To determine which point belongs in the inverse variation along with (3, -4), we can use the concept that in inverse variation, the product of the x-coordinate and the y-coordinate remains constant.
By multiplying the x-coordinate (3) and the y-coordinate (-4), we get -12.
Let's check the product for each option:
A. (-2, 6): -2 * 6 = -12 (matches the constant product)
B. (6, -8): 6 * -8 = -48 (does not match)
C. (3, 4): 3 * 4 = 12 (does not match)
D. (-4, -3): -4 * -3 = 12 (does not match)
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Help ASAP Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Answer:
2 x-intercepts at 3 and 9
Step-by-step explanation:
x^2-12x+27=0
(factoring)
(x-3)(x-9)=0
this tells us that there is going to be a x-intercept at both 3, and 9, and that there is no stretching of it. It would look like this.
Solve the next equation (5 x - 3)³ = 8
Answer:
x=1
Step-by-step explanation:
(5x-3)3=8
taking the cube of both sides we get
5x-3=2
adding three to both sides we get
5x=5
dividing by five on both sides we get
x=1
if you found my answer helpful please mark as brainliest.
Please help is important please
Identify the vertex for the graph of y = -2x2 - 12x +1. (1 point)
O (-3, 19)
0 (-3,55)
(3, -53)
(3, -47)
Answer:
(-3, 19)
Step-by-step explanation:
Which of the following statements are correct? (Select all that apply.)
x
−a
=
x
a
1
x
a
y
a
=(xy)
2a
x
0
=x
x
a
1
=x
a
1
None of the above
In conclusion, none of the provided statements are correct as they do not hold true based on the rules and properties of exponentiation.
Let's examine each statement:
1. \(x^-a = x^a\): This statement is incorrect. The exponent of -a implies the reciprocal of x raised to the power of a, which is not equivalent to x raised to the power of a. Therefore, the statement is false.
2. \((x^a)(y^a) = (xy)^2^a\): This statement is incorrect. The product of \(x^a\)and \(y^a\) is not equal to the result of raising xy to the power of 2a. In general, the exponent rule for multiplying exponents would yield \((xy)^a\), not \((xy)^2^a\). Hence, the statement is false.
3. \(x^0\) = x: This statement is incorrect. Any non-zero number raised to the power of 0 is equal to 1, not x. Therefore, \(x^0\) is not equal to x. Thus, the statement is false.
4. \((1/x)^a\) = \(x^-^a\): This statement is incorrect. The reciprocal of x raised to the power of a is not equal to x raised to the power of -a. The negative exponent signifies the reciprocal of x raised to the power of a, but it does not change the sign of x itself. Thus, the statement is false.
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what is the distance from the number to 0 and is always positive.
Answer:
Absolute Value
Step-by-step explanation:
– The distance a number is from the zero on a number line. (Absolute value is always positive). Acute Angle - An angle with a measure > than 0° and < 90˚. Acute Triangle– A triangle that has all three angles that are acute.
HELP PLEASE!!!! (LOOK AT THE PICTURE AND READ CAREFULLY).
1. The equation y + 3/4(y+30) = 478 can be used to find y, Elena's score in her first game. False
2. The difference between the score in Elena's first game and her second game is 34. True
3. The equation z/4y + 30 = 478 can be used to find y, Elena's score in her first game. False
4. Elena's scores 222 in her first game
What equation can be used to calculate Elena's score in the game?To find Elena's scores in the game, we used the equation:
x = 3/4y + 30 since x + y = 478
3/4y + 30 + y = 478
7/4y + 30 = 478
7/4y = 478 - 30 = 448
448 x 4 /7 = 256
It means that Elena's scored 256 in her first game and 222 in her second game.
The above answer is based on the questions below as seen in the picture
Elena bowls two games on Saturday. Her serve in the second game is 30 more than 3/4 of her score in the first game. Elena's total score for the two games is 478.
Determine with each statement about Elena's bowling games is true;
1 The equation y + 3/4(y+30) = 478 can be used to find y, Elena's score in her first game.
2. The difference between the score in Elena's first game and her second game is 34.
3. The equation z/4y + 30 = 478 can be used to find y, Elena's score in her first game.
4. Elena's scores 222 in her first game.
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PLEASE PLEASE PLEASE PLEASE HELP RIGHT AWAY ! GIVING BRAINLEST IMMEDIATELY IF RIGHT
SOLVE FOR X
Answer:x should equal 7/13
Step-by-step explanation: it has been solved by a pro
و please tell me what the slope is
Answer: slope = 6
Step-by-step explanation:
Slope is rise over run.
Find two perfect points and see how many up/down you go and how many left/right you go.
On this one, you go up 6, right 1.
6/1 is 6.
Hope this helps!
Answer:
6
Step-by-step explanation:
m=y2-y1/x2-x1
take two points from the graph (0, -1) and (1, 5)
5-(-1)=6
1-0=1
6/1=6
hope this helps :3
0.7 expressed as a percentage is
Confused on this so please help:
optimize the equation p = 2x + y using the constraints. what is the maximum?
choices:
a. 7
b. -1
c. 5
d. 13
The equation p=4+3y is maximised at (4,5) and the maximised value is 31.
Given equation p=4x+3y and constraints x>0,x<4, y<5.
We have to maximise the equation p=4x+3y with constraints x>0,x<4,y<5.
To find out the points we have to make graphs of the constraints first.
From the graph we have found that points are (0,0),(0,5),(4,0),(4,5).
The above points are common points of graphs of all constraints.
The value of equations are as under:
At (0,0) , p=4*0+3*0=0
At (0,5), p=4*0+3*5=15
At (4,0),p=4*4+3*0=16
At (4,5),p=4*4+3*5=16+15=31
Maximum value of p is 31 and that is for (4,5).
Hence the equation is maximised at (4,5) and the maximum value is 31.
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write an equation of the line that passes through the given points (-6,3) (0,4)
Answer:
y=1/6x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-3)/(0-(-6))
m=1/(0+6)
m=1/6
y-y1=m(x-x1)
y-3=1/6(x-(-6)(
y-3=1/6(x+6)
y=1/6x+6/6+3
y=1/6x+1+3
y=1/6x+4
A price is decreased by 24% and is now £372.40.
Work out the original price.
Answer:
Step-by-step explanation:
Subtract the discount from 100 to get the percentage of the original price.
Multiply the final price by 100.
Divide by the percentage in Step One
Please help pleaseeeee
Answer:
1.7 or square root of 2.9
Step-by-step explanation:
i remember how to do this its kind of simple really you just use the pythagorean theorem
A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12
Answer: 12
Step-by-step explanation:
Write the largest three-digit numeral possible using the digits 5, 8, and 4.
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Determine the domain of each of the following functions. Write your answer in both interval and set notation.
1. f(x)=3x+4
2. f(x)=2x^2+7
3. g(x)=x+3 /x^2−1
4. h(x)=root (x+5 )
5. q(x)=3+∣x−2∣
Domains of function:
1) Interval Notation : (−∞,∞)
2) Interval Notation:(−∞,∞)
3) Interval Notation:(−∞,0)∪(0,∞)
4) Interval Notation:(−∞,∞)
5) Interval Notation:(−∞,∞)
1)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x|x∈R}
2)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x|x∈R}
3)
The domain by finding where the expression is defined.
Interval Notation:(−∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
4)
The domain by finding where the expression is defined.
Interval Notation:[−5,∞)
Set-Builder Notation:{x | x≥−5}
4)
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:(−∞,∞)
Set-Builder Notation:{x| x∈R}
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What is the slope of the tangent line to f(x)=2x+1 at x=2 ? a) 1.5 b) 5.1 c) 3.2 d) 2.8
The slope of the tangent line to `f(x) = 2x + 1` at `x = 2` is `2`.
The given function is `f(x) = 2x + 1`.To find the slope of the tangent line at `x = 2`, we need to take the derivative of the function `f(x)` and then substitute `x = 2` into the derivative.Let's first take the derivative of `f(x)` with respect to `x`.
Using the power rule, we have: `f'(x) = 2`.
This means that the slope of the tangent line to `f(x)` is always `2` no matter what value of `x` we plug in.
However, we are interested in the slope of the tangent line at `x = 2`.
So, we substitute `x = 2` into the derivative to get the slope of the tangent line at `x = 2`.
Hence, the slope of the tangent line to `f(x) = 2x + 1` at `x = 2` is `2`.
This is a answer since the question only requires a simple calculation.
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how to prove that the difference between squares of consecutive even numbers is always a multiple of 4
Let x be an even integer then x+2 is the next consecutive even integer.
We need to look at \((x+2)^2 - x^2\), since that's the difference between the squares of any two consecutive even integers.
\((x+2)^2 - x^2 = x^2 + 4x + 4 - x^2\)
\(=4x+4\)
\(=4(x+1)\)
Since that difference is 4 times something, it is a multiple of 4.
Find the slope from the table
Answer:
1
Step-by-step explanation:
I used DESMOS and to find this answer
Hope this Helped
How do you solve quotients step by step?
We can Long Division method to solve quotients step by step
What is long division method and its steps ?
When splitting huge numbers, the task is divided into several sequential parts using the long division approach. The dividend is divided by the divisor, just as in conventional division problems, and the result is known as the quotient; occasionally, it also produces a remainder.
We need to comprehend a few stages in order to divide. A vinculum or right parenthesis separates the dividend from the quotient, while a vertical bar separates the divisor from the dividend. Let's now go through the long division stages listed below to comprehend the procedure.
1. Take the dividend's first digit starting from the left . Verify if this digit exceeds or is equal to the divisor.
2. Next, divide it by the divisor, and write the result as the quotient on top.
3. Subtract the outcome from the digit, and then put the difference below.
Step 4: Decrease the dividend's subsequent digit (if present).
Step 5: Carry out Step 4 again.
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I need help, please help me soon
12/18/2020
2:06 pm [Eastern time]
Answer: its not 22 its 25
Step-by-step explanation: if it not correcnt than sorry wrong answer
Answer:
Range: 15
Step-by-step explanation:
This is a box and whisker plot, right? The first number is 17, then, and the last is 32. To find the range, we subtract 17 from 32. This gets us 15. The range of the data is 15. Also on this chart, it says that the median is 22, the upper quartile is 27, and the lower quartile is 20. I hope this helps.
john, a 32-year-old male, is 5'9" (69 inches or 1.75 meters) and weighs 243 pounds (110.5 kilograms). what is his bmi? (round to the nearest tenth)
To calculate John's BMI, we need to use the formula BMI = weight (kg) / height (m)^2. When we calculate this, we get a BMI of 36.1.
First, we need to convert John's height and weight to the metric system. His height is 1.75 meters and his weight is 110.5 kilograms.
Next, we can plug those values into the formula: BMI = 110.5 / (1.75)^2.
According to the Centers for Disease Control and Prevention, a BMI of 30 or above is considered obese. Therefore, John falls into the obese category based on his BMI.
It's important to note that BMI is just one measure of health and does not take into account muscle mass or other factors that can affect weight. It's always best to speak with a healthcare professional to determine a healthy weight and lifestyle plan.
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The function C(x)=17.5x-10 represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon. How much does it cost to buy five tickets?
Answer:
8 tickets
Step-by-step explanation:
x = 10 in the given equation.
We have then:
C (x) = 17.5x - 10
C (10) = 17.5 * (10) - 10
C (10) = 165
Answer:
to buy 10 tickets cost:
$ 165
b. How many tickets can you buy with $ 130?
For this case we must make the substitution: C (x) = 130
We have then:
C (x) = 17.5x - 10
130 = 17.5x - 10
Clearing x we have:
17.5x = 130 + 10
17.5x = 140
x = (140) / (17.5)
x = 8
Answer:
You can buy 8 tickets with $ 130