when an airplane leaves the runway, its angle of climb is 18 degrees and its speed is 275 feet per second. find the plane's altitude (round to the nearest foot) after 1 minute.
The plane's altitude after 1 minute of flight when it leaves the runway with a speed of 275 feet per second and an angle of climb of 18 degrees is 5098.78 feet.
Therefore, the answer is 5098.78ft
Speed of airplane = 275ft/s
Angle of climb = 18°
Time travelled = 1min = 60s
Distance covered in 60s is given by multiplying speed with time taken, that is
distance = 275 × 60
= 16,500ft
But this distance obtained is not the altitude, it is the hypotenuse and we know sin∅ = altitude/ hypotenuse. That is
sin(18) = altitude/ 16500
altitude = 16500sin(18)
= 5098.78ft
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The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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Unit #4 - Lesson # 8 Exit Ticket: The seventh-grade class had 74 students in it last year. This
increase in the number of seventh grade students from last year to this year? Show all calculations.
year, the seventh-grade class has 86 students in it. To the nearest tenth, what was the percent
Unit #4
on til
Answer:
Answer:
Hope it helps!
Step-by-step explanation:
Last year there were 74 students in the seventh grade class. This year there are 86 students in the seventh grade class.
Increase = 86 - 74 = 12
Percent Increase = (12/74) x 100 = 16.2%
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter
Answer:
125 cmStep-by-step explanation:
when the perimeter of a regular polygon is divided by 5 the lenght of a side is 25 cm what is the perimeter?
A Regular polygon is a polygon with all sides of equal length
so
25 * 5 = 125 cm
x power 4 -8 x power 2 y power 2+ 16 y power 4 -289
The values of x = 17 and y = 0.
Define quadratic equation?
A quadratic equation is a second-degree polynomial equation in one variable of the form a + b + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus", which means square.
Given:
\(x^{4} - 8x^{2} y^{2} +16y^{4} -289\) equals to 0
\(x^{4} - 8x^{2} y^{2} +16y^{4} -289 = 0\)
\(x^{4} - 8x^{2} y^{2} +16y^{4} =289\)
We know that \((x-b)^{2} =x^{2} -2xy +y^{2}\)
Compare it: \((x^{2} -4y^{2} )^{2} = x^{4} - 8x^{2} y^{2} +16y^{4}\)
So, \((x^{2} -4y^{2} )^{2} = 289\)
\((x^{2} -4y^{2} ) = 17\)
We know that \((x^{2} -b^{2} ) = (x+y)(x-y)\)
So, \((x +2y)(x-2y) =17\)
If we solve two equations that is:
(x+2y) = 17 and (x-2y) = 17
Simplification, x = 17 and y = 0
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I need help finding the missing value to this equation
-4x - y = 24
(__, 8)
Answer:
x=-8
Step-by-step explanation:
-4x-(8)=24
+8=+8
-4/-4x=32/-4
x=-8
3- A class with one hundred students takes an exam, where the maximum grade that can be scored is 100. Suppose that the average grade for the class is 65.5% with most grades scattered around this value by 5.4 percentage points:
i. What type of random variable is this?
ii. Find the probability that the grades will fall precisely within 10 percentage points from the percent average.
iii. Find the probability that student grades will fall between 74 and 85%
The random variable representing the grades of the students in the class is a continuous random variable. To find the probability that the grades fall precisely within 10 percentage points from the average, we need to calculate the area under the probability density function (PDF) within this range. To find the probability that student grades fall between 74% and 85%, we need to calculate the area under the PDF within this range.
The random variable representing the grades of the students in the class is a continuous random variable since it can take on any value within a certain range (0 to 100 in this case) and is not restricted to specific discrete values. To find the probability that the grades fall precisely within 10 percentage points from the average (65.5 ± 5), we need to calculate the area under the probability density function (PDF) within this range. This can be done by integrating the PDF over the specified range. To find the probability that student grades fall between 74% and 85%, we also need to calculate the area under the PDF within this range. Again, this can be done by integrating the PDF over the specified range. The result will give us the probability that a randomly selected student's grade falls within this range.
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Chloe i putting up a wallpaper border in the room he ha drawn a ketch on a coordinate grid
Number of foot of border than chole needed to buy to make a wallpaper border in the room is 42 feet
From the given graph
To find the how many feet of border should Chloe buy we have to find the perimeter of the figure that given in the graph
The perimeter of the shape is defined as the distance around the edges of the shape
The total number of sides in the figure = 8
Find the length of the each side and add the length
The perimeter of the shape = 12 + 2 + 2 + 2 + 2 + 3 + 12 + 7
Add the numbers together
= 42 feet
Hence, Chole should buy 42 foot of border
The complete question is:
Chloe is putting up a wallpaper border in her room. She has drawn a sketch on a coordinate grid. The diagram is shown below. How many feet of border should Chloe buy?
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What is the length of CF?
Answer:
8.5
Step-by-step explanation:
BF * EF = CF * DF
7 * 17 = CF * 14
119 = CF * 14
CF = 119 / 14
CF = 8.5
3) Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs
$9.99. If he can spend no more than $100, how many DVD's could he buy?
Answer:
I will only give answer if you gave 100 points . will you give ?
Jada, Lin, and Elena are saving money for a trip. Together they saved $120. Jada saved $20 less than Lin. Lin saved 3 times as much money as Elena. How much money did each of them save?
Step-by-step explanation:
This is a word problem that we must translate to mathematical expression before we can solve.
let the individual saving be the first letters of the names
Jada= J
Lin= L
Elena= E
1. Jada saved $20 less than Lin
J=L-20
2. Lin saved 3 times as much money as Elena
L= 3E
3. Hence Elena saved
E
Together they saved $120.
hence
(L-20)+3E+E= 120
L-20+3E+E= 120
collecting like terms we hav
L+4E=120+20
L+4E= 140
but we know that L= 3E
3E+4E= 140
7E= 140
divide both sides by 7 we have
E= 140/7
E= $20
This means Elena saves $70
also L= 3E
L= 3*20
L= $60
this means that Lean saved $60
also J=L-20
J= 60-20
J= $40
This means that Jada saved $40
The Ultra Boy tomato plant sold by the Stokes Seed Company claims extraordinary quantities from this variety of tomato plant. Ten such plants were studied with the following quantities per plant. 1. 32, 46, 51, 43, 42, 56, 28, 41, 39, 53 Find the mean and median number of tomatoes.
The mean number of tomatoes for the Ultra Boy tomato plant is calculated by adding up all the quantities and dividing by the total number of plants, which is 10 in this case. So, the mean is (32+46+51+43+42+56+28+41+39+53)/10 = 43.1 tomatoes per plant.
To find the median number of tomatoes, we need to first arrange the quantities in numerical order: 28, 32, 39, 41, 42, 43, 46, 51, 53, 56. The median is the middle number in this list, which is 43.
Therefore, the median number of tomatoes for the Ultra Boy tomato plant is 43.
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A student sets up the following equation to convert a measurement. (The ? stands for a number the student is going to calculate.) Fill in the missing part of this equation. (−7.0×104 s2g⋅m2)⋅ΠΠ=? s2kg⋅m2
The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)
What is the value of the missing part in the equation?To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:
\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)
In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.
To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:
1 kg / 1000 g
To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:
\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)
Simplifying this expression, we get:
\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)
Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)
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I really need help with this! Marking the best answer as brainliest!
PLSS HELP ASAP. Which of the follow box-and-whisker plots correctly displays this data set?
24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23
The five number summary is
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37===========================================================
Further Explanation:
The original data set is {24, 32, 25, 27, 37, 29, 30, 30, 28, 31, 27, 23}
It sorts to {23, 24, 25, 27, 27, 28, 29, 30, 30, 31, 32, 37} when going from smallest to largest.
There are n = 12 items in this set. The median is found between slots 6 and 7 because n/2 = 12/2 = 6
Circle the items in slot 6 and slot 7 to highlight 28 and 29 in that order. The midpoint is (28+29)/2 = 57/2 = 28.5 which is the median.
Median = 28.5
---------------
Now break the set up into two pieces
L = {23, 24, 25, 27, 27, 28}
U = {29, 30, 30, 31, 32, 37}
L is the lower set below the median, U is the upper set above the median
The midpoint of L is (25+27)/2 = 26 and the midpoint of set U is (30+31)/2 = 30.5
This gives us Q1 = 26 and Q3 = 30.5 respectively
Q1 = first quartile
Q3 = third quartile
The min and max are simply the smallest and largest items of the set
min = 23
max = 37
------------------
We have this five number summary:
Min = 23Q1 = 26Median = 28.5Q3 = 30.5Max = 37These five items directly determine the positioning of the box and whiskers. No extra info is needed.
The min and max handle the tips of the left and right whiskers if we don't have any outliers. In this case, we don't have outliers so we can ignore this aspect.
The Q1 and Q3 handle the left and right edges of the box
The median (aka Q2) is the vertical line inside the box. It doesn't have to be at the center of the box. It's simply anywhere inside.
With all this in mind, the best match is choice D
The tip of the left whisker is at 23The left edge of the box is at 26The vertical line inside the box is at 28.5The right edge of the box is at 30.5The tip of the right whisker is at 37----------------------------------
In other words, we can eliminate the following
A) Because the right edge of the box for choice A is at 31 when it should be at 30.5B) The tip of the right whisker is at 35 when it should be at 37C) The tip of the left whisker is at 21 when it should be at 23Since A, B, and C are eliminated, the only thing left is choice D which matches all aspects of the five number summary above.
Cover the entire area except for today's date and year April, 1st, Monday
Answer:
It's friday for me so here u go
Step-by-step explanation:
WILL GIVE BRAINLIEST
Which of the following represents a function
Answer:
C
Step-by-step explanation:
The table has 2 inputs that are the same (-1) but have different outputs (7 and 1). The list of coordinates also has 2 points with the same x - axis but different y values. For the graph you could use the vertical line test. If you put the line on -1 on the x-axis is goes through 2 points. The indicates that it is not a function.
Hope this helsp. Pls give brainliest.
suppose i give you a joint distribution table of x and y. can you find the covariance or correlation of x and y?
Yes, it is possible to find the covariance and correlation of x and y given a joint distribution table.
The covariance of x and y can be calculated using the formula:
cov(x,y) = E[(x - E[x])(y - E[y])]
where E[x] and E[y] are the expected values of x and y, respectively.
The correlation of x and y can be calculated using the formula:
cor(x,y) = cov(x,y) / (sd[x] * sd[y])
where sd[x] and sd[y] are the standard deviations of x and y, respectively.
Both the covariance and correlation are measures of the relationship between two variables, and can provide insight into the strength and direction of that relationship.
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As the result of studying the cost of a cab ride by looking at the price for certain distances, we obtained a formula that describes the cost of a trip () in terms of miles traveled (m): C = 5+2.5m. Part: 0/2 Part 1 of 2 (a) How much would it cost for a 19-mile trip to the airport? A 19-mile trip to the airport would cost s
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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Lauren is going to a carnival that has games and rides. Each game costs $2 and each
ride costs $4.75. Lauren spent $50 altogether at the carnival and the number of rides
she went on is 2 more than the number of games she played. Write a system of
equations that could be used to determine the number of games Lauren played and
the number of rides Lauren went on. Define the variables that you use to write the
system.
Let
Let
System of Equations:
pls help!!
The expression 15/4+3/8x factored is.......
Answer:
3x+30/8
Step-by-step explanation:
Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
A) 5/5
B) 12/12
C) 15/15
D) 4/4
E) 3/3
Answer:
E) 3/3
Step-by-step explanation:
12/15 ÷ X = 4/5
We need to divide the top and bottom by 3/3
12 ÷3 =4
15÷3 = 5
The exam scores (out of 100 points) for all students taking an introductory Statistics course are used to construct the following boxplot. Box plot Based on this boxplot, which of the following statements is true
The interquartile range is 55.
What is interquartile range?The interquartile range is the difference between the upper quartile and the lower quartile. In example 1, the IQR = Q3 – Q1 = 87 - 52 = 35. The IQR is a very useful measurement. It is useful because it is less influenced by extreme values as it limits the range to the middle 50% of the values.
Interquartile range = higher quartile - lower quartile
Given data, 50,25,80,10
To arrange the given data in ascending order 10,25,50,80.
Now, we will find the median for the given data.
The median is obtained by first arranging the data in ascending order and applying the following rule.
If the number of observations is even, then the median is \(\frac{n}{2}th\) term.
In given data the number of observations is '4'(even)
If the number of observations is even, then the median is \(\frac{4}{2} th\) means 2nd term. So median for the given data is 25. It means the value of lower quartile is 25 .
Interquartile range = higher quartile - lower quartile
= 80-25
= 55
Thus, interquartile range for the given data is 55.
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The above question is not complete.
I NEED HELP What is 3/10 of $80
Answer:All you need to do is divide 80 by 10, and then multiply 10 by 3
Please help! Write the slope-intercept form equation of the trend line
Answer:
y= -1/3x+9.2
Step-by-step explanation:
I believe that it is 9.2 although it could be another number in the 9's.
The slope is (rise) -1 and (run) 3 and the line crosses the y-intercept at what it looks like 9.2
When multiplying 32 and 8, _____.
when we multiply 8 x 2, we will add drop down the 6
when we multiply 8 by 3, we will add 1
both of these are correct
neither of these are correct
Both of these are correct. When multiplying 32 and 8, we should follow these steps:
Multiply 8 by 2, which is the last digit of 32. This gives us 16.Drop down the 6 and carry the 1.Multiply 8 by 3, which is the second to last digit of 32. This gives us 24.Add the 1 that we carried from the previous step to 24, which gives us 25.Drop down the 5 and carry the 2.Since there are no more digits in 32 to multiply, we can drop down the 2 that we carried.The final answer is 256.So, the correct answer is 256.
Here is the multiplication shown step-by-step:
32
8
16 --> drop down 6 and carry the 1
1
32
8
6
24- --> drop down the 4 and add 1; carry the 2
56
2
32
8
6
5 -
2 - - --> drop down the 2 since no more digits available to multiply
256 --> the answer
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EASY MATH PLEASE HELP! :)
I WILL GIVE BRAINLIEST!
QUESTION: Find the area!
Answer:
256ft
Step-by-step explanation:
18 times 8 plus 16 times 16 divided by 2
hope this helps! :D
Find the product of (x+6)(x−4).
Step-by-step explanation:
(x+6)(x−4)
x²- 4x+6x - 24
x² + 2x - 24
Answer:
x²+2x-24
Step-by-step explanation:
see attachment below
This question is for ktishler1 what is 1+1?
Answer: 11
if u put 1 and 1 together
u get 11
Answer:
2
Step-by-step explanation:
1 +1=2
because 1 means you only have one thing then add one more thing that gives you two things