multiply 5 13/16 by 76
5 13/16 * 76 = 441 3/4 revolutions
a commercial jet airplane climbs at takeoff with slope m=4/9. How far in the horizontal direction will the airplane fly to reach am altitude of 20,000 ft above the takeoff point?
The horizontal direction in will the airplane flies to reach an altitude of 20,000 ft above the takeoff point will be 45,000 feet.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A commercial jet airplane climbs at takeoff with slope m = 4/9.
Then the equation of the line will be given as,
y = (4/9)x
The y-intercept is zero.
The horizontal direction will the airplane fly to reach an altitude of 20,000 ft above the takeoff point will be
20,000 = (4/9)x
180,000 = 4x
x = 180,000 / 4
x = 45,000 feet
The horizontal direction in will the airplane flies to reach an altitude of 20,000 ft above the takeoff point will be 45,000 feet.
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A group of ladies meet for an afternoon tea party. They bring all their cats. In all, there are 26 heads and 84 feet. How many ladies and how many cats are in the room
Cos (pi/11)+cos (3pi/11)+cos (5pi/11)+cos (7pi/11)+cos(9pi/11)
Answer:
1/2
Step-by-step explanation:
Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by the xy-plane.
We have that
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
Attached below is a picture of the wedge-shaped region contained in the cylinder
Bearing in mind this shape, we have that the coordinates identifying the cylinder are as follows
Co-ordinates
[tex]0 \leq r \leq 7,\frac{\pi}{2} \leq 0 \leq \frac{\pi}{2},0 \leq z \leq x[/tex]
Where
[tex]0 \leq z \leq x =rcos \phi[/tex]
Generally the equation for the volume of the wedge-shaped region W is mathematically given as
[tex]\int \int \int_W 1dv=\int^{7}_{0} \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \int^{rcos \phi}_{0}[/tex]
[tex]\int \int \int_W 1dv=\int^{7}_{0} r (\int^{\frac{\pi}{2}}_{-\frac{\pi}{2}}rcos\phi dv))dr[/tex]
[tex]\int \int \int_W 1dv=(\frac{(7)^3}{3}+\frac{(0)^3}{3})(sin {\pi/2}+sin{-\pi/2})[/tex]
[tex]\int \int \int_W 1dv=228.67[/tex]
Therefore
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
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95 is described as what
how do you make a equivalent ratio?
You deposit $70 in a savings account that pays an annual interest rate of 30%. How much simple interest would you earn in 2.5 years?
The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81?The scores on an exam are normally distributed, with a mean of 74 and a standard deviation of 7. What percent of the scores are less than 81?
We are given the following variables:
Normal distribution
u = sample mean = 74
s = standard deviation of the samples = 7
x = sample value = 81
Since we are asked to find percent of the scores less than 81, this means we have to find the proportion using the z-score. The formula for z score is:
z = (x – u) / s
Substituting the given values:
z = (81 – 74) / 7
z = 1
Using the standard normal distribution tables for z, we find that:
P = 0.8413 at z = 1
Therefore this means that 84.13% of scores are less than 81.
The Answer is the two small boxes just got it right For Plato
FAR LEFT FAR RIGHT
Product A is an 8 oz bottle of cough medication that sells for $1.36. Product B is a 16oz bottle of cough medication that cost $3.20. Which product has the lower unit price
What type of graph would have the title, "Monthly Company Profit for the Year?"
bar graph
line plot
line graph
pictograph
Answer:
line graph
Step-by-step explanation:
Simplify x^2-4x-32/x^2+7x+12
The third term of an arithmetic sequence is 21, and the eighth term is 56. The first term is _____.
The first term of the given arithmetic sequence is 7. This can be determined by finding the common difference and moving backwards from the third term using this value.
Explanation:The subject of this question is Arithmetic Sequence which is a topic in mathematics. An arithmetic sequence is defined by a common difference (d) between consecutive terms.
To solve this problem, we have to find the common difference first. The difference between the 8th term (56) and the 3rd term (21) is 35. But since there are 5 steps from the 3rd term to the 8th term, each step (or the common difference) must be 35 ÷ 5 = 7.
Now that we have the common difference (7), we can reverse it from the 3rd term (21) back to the 1st term which gives us: 21 - 2(7) = 7. So, the first term is 7.
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The volume of a rectangular prism is b3 + 8b2 + 19b + 12 cubic units, and its height is b + 3 units. The area of the base of the rectangular prism is square units.
Answer:
b^2 + 5b +4
Step-by-step explanation:
Find the value of 4 + (27 - 12·2) ÷ 2.
Answer's are 3.5,5.5 and 19
Which one is it
The value of 4 + (27 - 12·2) ÷ 2 would be 5.5.
What is simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
A Simplification usually involves making the expression simple and easy to use later.
WE follow the rule PEMDAS parenthesis, exponent, multipy, divide, add, substart.
4 + (27 - 12·2) ÷ 2
4 + (27 - 24 ) ÷ 2
4 + (3) ÷ 2
4+3/2, do 3/2=1.5
then add it
4+1.5 = 5.5.
Therefore, the correct answer is 5.5
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Find the area of the shaded region when r = 4 feet and the area of the triangle is: 123√ square feet
Use 1.73 for 3√ and 3.14 for π. Round your answer to two decimal places.
The formula for finding the circumference of a circle is C=2πrC=2πr . Rearrange the formula to solve for the radius (r).
The function f(x)=log[7]x is increasing. True or false
The given function increases as x increases, so the statement is true.
Is the function increasing?Here we have the function:
[tex]f(x) = log_7(x)[/tex]
To see if it is increasing, we can evaluate in two values, 10 and 15, this will serve to see if the function is increasing or not:
[tex]f(10) = log_7(10) = 1.18\\\\f(15) = log_7(15) = 1.39[/tex]
As you can see, when x increases also does f(x), so the function is increasing.
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What is the next number in the series? 83 79 75 71 67 ?
Answer:
Given the series : 83 , 79 , 75 , 71 , 67, ?
Difference of two consecutive terms;
79 -83 = -4
75 -79 = -4
71-75 = -4
67-71= -4
Since, you can see that the number is decreases by 4 every time.
Let unknown term be x
then;
x - 67 = -4
x = 67-4
x = 63.
Therefore, the next term in the series is 63.
The next number in the series is 63.
In the given series, each number is decreasing by 4.
We can observe that the first number, 83, is decreased by 4 to get the next number, 79.
Similarly, each subsequent number is obtained by subtracting 4 from the previous number.
Following this pattern, the next number would be obtained by subtracting 4 from the last number in the series, which is 67.
67 - 4 = 63
Therefore, the next number in the series is 63.
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Find the taylor polynomial t3(x) for the function f centered at the number
a. f(x) = e^(â3x) sin(2x), a = 0
Tessa had $110 in her checking account. She paid her cable/internet bill for $75. She deposited $50 from her part-time job before writing a check for $85 to pay her credit card bill. What is Tessa's account balance?
110-75+50-85 =
110+50=160
75+85 = 160
160-160=0
her balance is 0
is a kiloliter greater than one liter
What is the probability of rolling a number less than or equal to 8 with the sum of two dice, given that at least one of the dice must show a 6?
If the total price paid for an item is $20.25 and the cost of the item before sales tax is $18.90, what is the rate of sales tax?
20.25 -18.90 = 1.35
1.35 / 18.90 = 0.071428571
= 7.14%
check:
18.90 x 1.34946 Round to 1.35
18.90 + 1.35 = 20.25
Sales tax = 7.14%
If 4 is subtracted from twice a number, the result is 10 less than the number. Write an equation to solve this problem. Use n as the variable to represent the number.
((81x^3 y^(-1/3))^1/4)/(x^2 y)^1/4 simplify
On a resent business trip it took 7 hours 30 minutes to drive 375 miles how many miles per hour was the average
Answer:
50 miles / hours.
Step-by-step explanation:
Speed may be defined as the distance covered by the object per unit time.
Speed = [tex]\frac{distance}{time}[/tex]
the distance of the business trip = 375 miles.
the time taken by the business trip = 7 hours 30 minutes = 7.5 hrs.
Speed = [tex]\frac{375}{7.5}[/tex]
Speed = 50 miles / hours.
Here, the average of miler per hour is 50 miles / hours.
A businessman has 10 employees. His salary is equal to 6 times the average of employees salaries. If the 11 of them receive a total of $64,000 in one year, what was the business mans salary that year ??
x = business man's salary
y = employee's salary
x + 10y = 64000
x = 6y
6y + 10y = 64000
16y = 64000
y = 64000/16 = 4000
x = 6*4000
x = 24000
business man's salary was $24,000
what is the square root of -1?
Compare the 3 in 536 to the 3 in 1,36 7.
Draw number 536 using base ten block?
"apply quickselect to find the median of the list of numbers 9, 12, 5, 17, 20, 30, 8."
Final answer:
To find the median using quickselect, choose a pivot value, partition the list, and repeat the process with the appropriate partition until the pivot index matches the desired median index.
Explanation:
The median of a list of numbers is the middle value when the numbers are arranged in ascending order. To apply quickselect to find the median, start by choosing a pivot value from the list. Partition the list and move all values smaller than the pivot to the left and all values larger than the pivot to the right. If the pivot index is equal to the desired median index, then the pivot value is the median. Otherwise, if the pivot index is smaller, repeat the process with the right partition; if the pivot index is larger, repeat with the left partition.
In the given example, let's apply quickselect to find the median:
Choose a pivot value, let's say 17.
Partition the list: 5, 8, 9, 12, 17, 20, 30
The pivot index is 4, which is less than the desired median index.
Repeat the process with the right partition: 17, 20, 30
Choose a new pivot value, let's say 20.
Partition the list: 17, 20, 30
The pivot index is 1, which is equal to the desired median index.
Therefore, the median of the list of numbers 9, 12, 5, 17, 20, 30, 8 is 17.