Most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
In the given question, a plane travels 1500 yard before lifting off the ground.
If the plane continues on the runway, it is 600 more yard to the control tower, which is 198 feet high.
Instead, the plane takes flight and travels 603 yards.
Initial distance traveled = 1500
Yards to control tower = 600
Height of control tower = 198 feet
Height of control tower = 198×3 yards
Height of control tower = 594 yards
If the airplane's rate of ascent is proportionate to the distance flown, then 1 yard of length equals 1 yard of height achieved.
The height of the plane would be 600 yards after flying 600 yards to the location of the control tower.
So, Difference in height = Height of plane - Height of tower
Difference in height = 600 yards - 594 yards
Difference in height = 6 yards
Hence, most accurate statement is "The plane clears the tower with about 6 yards to spare". So the option c is correct.
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Pls Help Pls
Math homework is very hard
The equation of the piecewise function is:
{ 5/3(x), -4 ≤ x≤ -1
f(x) = { 2, -1 ≤ x ≤ 3
{-2, 3 ≤ x ≤4
How to write an equation for the piecewise function?A piecewise function is a function that is defined by multiple sub-functions, each of which applies to a certain range of the input (or domain) values.
In the graph, we have five points with coordinates (-4, -3), (-1, 2), (3, 2), (3, -2) and (4, -2)
To find the f(x) for (-4, -3) to (-1, 2):
First, find the slope using slope = (y2-y1)/(x2-x1)
Slope = (2-(-3)) / (-1-(-4)) = 5/3
f(x) = 5/3(x)
For (-1, 2) to (3, 2):
f(x) = 2
For (3, -2) to (4, -2):
f(x) = -2
Therefore, the equation of the piecewise function will be:
{ 5/3(x), -4 ≤ x ≤ -1
f(x) = { 2, -1 ≤ x≤ 3
{-2, 3 ≤ x ≤ 4
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what is the probability that a randomly selected three-digit number has the property that one digit is equal to the product of the other two? express your answer as a common fraction.
The probability of selecting a three-digit number with the property that one digit is equal to the product of the other two is 1/90.
1/90
The probability of selecting a three-digit number with the property that one digit is equal to the product of the other two is 1/90. This is because there are only 9 possible digits (1, 2, 3, 4, 5, 6, 7, 8, 9) to choose from, and each of these digits can be multiplied by itself twice to give 9 possible combinations. Therefore, there are 9 three-digit numbers that satisfy the given condition, and these 9 numbers can be chosen from a total of 900 three-digit numbers (10 x 10 x 10 = 1000, minus the 100 numbers beginning with 0). Thus, the probability of selecting a three-digit number with the property that one digit is equal to the product of the other two is 9/900, which can be simplified to 1/90.
The probability of selecting a three-digit number with the property that one digit is equal to the product of the other two is 1/90.
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Why is the square root of 13 in decimal form an unacceptable answer for distance?
The square root of 13 in decimal form is an non-terminating non-recurring decimal
What is an infinite non-recurring decimal ?A decimal number that never ends and never repeats itself is known as a non-terminating, non-repeating decimal.
Such decimals are irrational numbers since they cannot be expressed as fractions.
Examples. Pi is a decimal that doesn't end or repeat.
Since the square root of 13 will result to infinite number the number cannot fully reach the required value but an approximate
Because of this the decimal form of he square root of 13 will lack accuracy
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Hi, who can give me the answer of these exercises I need it for tomorrow it is urgent thx for the people who will give me the answers.
The unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and ∠a = 50° along with question no. 2, ∠B = 105°, all solved using angle sum property.
What is angle sum property?
When three line segments intersect at three different angles, the result is a figure known as an Angle Sum Triangle. Triangles always contain a total of 180 degrees of angles.
Any triangle's angles add up to 180 degrees, according to the Angle Sum Triangle Theorem. By applying fundamental geometry concepts, this theorem can be demonstrated. Obtuse, right, or acute angles can all be found in triangles.
Triangle-related issues can be resolved using the Angle Sum Triangle theorem, a crucial geometry theorem. It can be used to gauge a triangle's angle sizes or to establish whether it is acute, right, or obtuse.
A)
∠ABC =∠BCA
∠BAC + ∠ABC + ∠BCA = 180
55 + 2∠ABC =
2∠ABC = 180 - 55
2∠ABC = 125
∠ABC =∠BCA = 75.5
100 + 2∠ECD = 180
∠ECD = 40
∠ACE = 180 - 75.5+40
∠ACE = 64.5°
B) ∠PRQ = 90° any triangles one side crosses through centre then the opposite angle is 90°.
C) ∠AOC = 40° when inside a circle, the angle on centre is double the angle touching the circumference
D) ∠a = 360 - 90 + (180-60) + (180-80)
∠a = 50°
2. The value of angle be can be calculated using angle sum property of triangle i.e.
(x+5) + 3x + x = 180
5x + 5 = 180
5x = 175
x = 175/5
x = 35
∠B = 3(35)
∠B = 105°
Thus, the unknown values are ∠ACE = 64.5°, ∠PRQ = 90°, ∠AOC = 40° and ∠a = 50° along with question no. 2, ∠B = 105°.
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we organize a knock-out tournament among four teams, a, b, c and d. first two pairs of teams play each other, and then the two winners play in the final. (a) in how many different ways can we set up the tournament? (we only care about which teams play with each other in the first round.) (b) how many different outcomes does the tournament have? the outcome describes the pairs that play in each of the three games (including the final), and the winners for all these games.
There are 6 different ways to set up the tournament.
We can make two pairs of teams (a,b and c,d) and then arrange each pair in two different ways (ab, cd and cd, ab). Thus, there are a total of 6 combinations.
(b) There are 8 different outcomes for this tournament. Each pair of teams (a,b and c,d) can play in either the first or second round, and each team can either win or lose. We can calculate the number of outcomes by multiplying the different combinations of the first round (6) with the number of outcomes in the second round (2x2). Therefore, total number of outcomes = 6x2x2 = 8.
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Can 1 right and 2 acute form a triangle?
Answer:
no
Step-by-step explanation:
a triangle can never only have acute sides. The other sides will either be: obtuse or a right angle.
Draw a longitudinal/compression wave and label the compressions, rarefactions, and wavelength. How do the particles in a longitudinal wave move?
Longitudinal waves are waves where the displacement of the medium is in the same direction as the direction of the travelling wave.
The distance between the centres of two consecutive regions of compression or the rarefaction is defined by wavelength, λ. When the compression and rarefaction regions of two waves coincide with each other, it is known as constructive interference and if the regions of compression and rarefaction do not coincide, it is known as destructive interference.
Compression
In a longitudinal wave, compression is a region in which the particles of the wave are closest to each other.
Rarefaction
Rarefaction in a longitudinal wave takes place when the particles are farthest apart from each other.
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Which angle is the biggest based on sides of the triangles below? explain your reasoning.
Angle C is the biggest.
The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Is it possible to construct a triangle with sides 9 cm 6 cm and 17cm if not why?
It is not possible to construct a triangle with 6cm, 9cm, and 17cm.
The sides measure 6 cm, 9 cm, and 17 cm in length.
Only when the third side is greater than the sum of any two sides can a triangle be drawn. This the condition.
Let's verify the rule now.
6 + 9 > 17 Not true
6 + 17 > 9 True
9 + 17 > 6 True
As 6 + 9 > 17 does not satisfy the condition.
Hence, it is not possible to construct a triangle having 6cm, 9cm, and 17cm in length.
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Find x (5x-37)=(3x+1)
Answer:
x = 19
Step-by-step explanation:
5x - 37 = 3x + 1 (move over the 3x by subtracting)
2x - 37 = 1 (move over the 37 by adding)
2x = 38 (divide both sides by 2)
x = 19
x=19
Step-by-step explanation:
(5x-37) = (3x+1)
5x - 3x = 1 + 37
5x - 3x = 38
2x = 38
x = 19
Solve the equation -9v – 9 = -27 for v.
A. -1
B. 1
C. 2
D. 4
Answer:
c. 2
Step-by-step explanation:
The valueof v
-9v - 9 = -27
= -9v = -27 + 9
= -9v = -18
= -9v/-9 = -18/-9
v = 2.
Note: negative will cancel negative.
She simulated 505050 classes of 303030 students where each student selected had a 0.140.140, point, 14 probability of being left-handed. Casey counted how many left-handed students were in each simulated class. Here are her results:
The empirical probability that there are more than 5 left-handed students in a class of 30 is 0.06.
Empirical probability is a sort of experimental probability that is based on historical data. Empirical probability is, then, an illustration of the likelihood of an occurrence occurring based on prior data.
The formula of the empirical probability is:
Experimental probability = number of times an event occurs / total number of outcomes.
In the problem, total number of classes = 50
From the graph, we can read that:
- number of classes with 6 left-handed students = 2
- number of classes with 7 left-handed students = 1
Hence, the empirical probability that there are more 5 left-handed students in a class of 30 is:
Empirical probability = 3/50 = 0.06
Your question is incomplete. Most likely it was:
Casey read a report that said the probability that a randomly selected America is left handed is 14%. she was curious how many left handed students to expect in a class of 30 seconds. she simulated 50 classes of 30 students where each student had a 0.14 probability of being left handed. Casey counted how many left handed students were in each simulated class. here are her results: use her results to estimate the probability that there are more than 5 left handed students in a class of 30 students. (The graph is attached)
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Mrs. Ramirez is planning a family reunion and deciding where to buy food and drinks. She considers the information below. She expects 96 family members to attend. How much would it cost to buy 96 hotdogs purchased from Value Market? Show your work.
b) How much would 96 hotdogs cost from Sammy's Bulk Store? Show your work. Which store offers the better buy for bottled water? Explain your reasoning HELP ME PLEASE<3
a) The cost for 96 hotdogs from Value Market = $94.04.
b) The cost for 96 hotdogs from Sammy's Bulk Store = $75.84.
How did we get the values?a) The cost for 96 hotdogs from Value Market would be $96 x $0.99/hotdog = $94.04.
b) The cost for 96 hotdogs from Sammy's Bulk Store would be $96 x $0.79/hotdog = $75.84.
For bottled water, Sammy's Bulk Store offers the better buy, with $0.69/bottle, compared to Value Market's $0.99/bottle. The reasoning is that Sammy's Bulk Store has a lower price per bottle of water.
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It took Jada's aunt 34 hour to put a puzzle together. It took Jada 213 times as long as her aunt to put the puzzle together.
How long did it take Jada to put the puzzle together?
Enter your answer as a mixed number in simplest form by filling in the boxes.
$$
hours
[tex]1\frac{3}{4}[/tex] hours Jada took to put the puzzle together.
What is Fraction?A fraction represents a part of a whole.
Given that Jada's aunt took 3/4 hour to put a puzzle together.
Jada took [tex]2\frac{1}{3}[/tex] times as long as her aunt to put the puzzle together.
Convert the mixed fraction [tex]2\frac{1}{3}[/tex] to improper fraction
[tex]2\frac{1}{3}[/tex] =7/3
As there is given Jada took [tex]2\frac{1}{3}[/tex] times as long as her aunt to put the puzzle together we have to multiply 7/3 with 3/4
7/3×3/4
7/4
This can be written as mixed fraction
[tex]1\frac{3}{4}[/tex]
Hence, [tex]1\frac{3}{4}[/tex] hours Jada took to put the puzzle together.
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the 25 students in the psychology class take a 20-point quiz. five of the students each obtained a score of 10 on the quiz, ten students each obtained a score of 15, and ten students each obtained a perfect scores of 20. what would be the mean of these scores? question 25 options: a) 14 b) 18 c) 12 d) 16
The mean of these scores is 16.
The mean is a measure of central tendency that indicates the average value of a set of data. It is calculated by adding up all of the individual values in a dataset and dividing that sum by the number of values in the dataset. In mathematical terms, the mean is represented by the symbol "µ" (mu) and is calculated as:
µ = (sum of all observations) / (number of observations)
To find the mean of these scores, you would add up all of the individual scores and divide by the total number of scores.
First, we find the total score of the 5 students who scored 10: 5 students * 10 points/student = 50 points
Then, we find the total score of the 10 students who scored 15: 10 students * 15 points/student = 150 points
Then, we find the total score of the 10 students who scored 20: 10 students * 20 points/student = 200 points
Now we add all the total scores of students: 50+150+200 = 400 points
Finally, to find the mean score, we divide the total score by the number of students: 400 points / 25 students = 16 points/student.
Therefore, the mean of these scores is 16.
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4. (20 pts) suppose four people are lining up for a photo. does this situation represent a combination or a permutation? explain. how many different ways are there for the four people to line up for the photo?
The required number of ways are 24 and the situation is permutation.
What is permutation?An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.
According to question:It depicts a permutation since the order of the people in this situation matters.
According to the number of ways, the first position can be filled by four people, the second by three (because the first position has already been taken by one person), the third by two, and the fourth by one.
This results in 4321 = 4! = 24 ways as the total number of ways.
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The interquartile range is used as a measure of variability to overcome what difficulty of the range?Choose one answer.a. the range is influenced too much by extreme valuesb. the sum of the range variances is zeroc. the range is difficult to computed. the range is negative
The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values
The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.
In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).
The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.
This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.
The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.
These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.
By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.
Therefore, option (a) is correct.
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diedre has a litter of 888 new puppies in a basket. the weight of the basket and the puppies combined is 2{,}9772,9772, comma, 977 grams. the weight of the basket alone is 1{,}0771,0771, comma, 077 grams. estimate the weight of each puppy if all the puppies weighed the same amount.
Each puppy would weigh approximately 2.13 grams if all the puppies weighed the same amount.
To estimate the weight of each puppy, we need to subtract the weight of the basket from the total weight of the basket and puppies to find the total weight of the puppies.
Total weight of puppies = Total weight of basket and puppies - Weight of basket alone
= 2,977 - 1,077 = 1,900 grams
Then we divide the total weight of the puppies by the number of puppies to find the weight of each puppy:
Weight of each puppy = Total weight of puppies / Number of puppies
= 1,900 / 888
= approximately 2.13 grams
Each puppy would weigh approximately 2.13 grams if all the puppies weighed the same amount.
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Round this number to the
nearest thousandth.
1.2983
Lebron's foul shooting average is 55%. If he shot 75 foul shot 75 foul shots, how many would he make ?
Lebron would make 41 foul shots.
The formula used to calculate the number of made foul shots is Number of Made Foul Shots = Foul Shooting Average * Number of Shots Attempted.
Therefore, the number of made foul shots for Lebron is 55% * 75 = 41.25. Since this is a decimal number, we can round it down to 41 made foul shots.
In calculation way, Lebron would make 41 foul shots. This can be calculated by multiplying his foul shooting average 55% with the number of shots attempted, which is 75. 55% can also be written as 0.55, so the equation can be written as 0.55 * 75 = 41.25 which rounds down to 41.
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A student draws portraits for customers. When the price of a picture is $180, the demand is 8 portraits. When the price of a picture is $100, the market is 24 portraits. Which graph best models the demand as a function of the cost? (Please show the steps on the graph)
Answer:
Q = 216 - 0.5P
Step-by-step explanation:
One approach to modeling the demand as a function of the cost is to use a linear demand equation of the form:
Q = a - bP
where Q is the quantity demanded, P is the price, and a and b are constants. To find these constants, we can use the two points given:
When P = $180, Q = 8 portraits, so 8 = a - b * 180
When P = $100, Q = 24 portraits, so 24 = a - b * 100
Solving the system of equations gives us:
a = 216
b = 0.5
So, the demand equation is:
Q = 216 - 0.5P
This represents the demand for portraits as a function of the price, where the demand decreases linearly as the price increases.
Directions: Use the Law of Sines to find each missing side or angle. Round to the nearest tenth.
Question 9
[tex]\frac{\sin x}{23}=\frac{\sin 27^{\circ}}{11}\\\\\sin x=\frac{23\sin 27^{\circ}}{11}\\\\x \approx 71.7^{\circ}, 108.3^{\circ}[/tex]
Both of these cases satisfy the angle sum of a triangle.
Question 11
[tex]\frac{\sin x}{27}=\frac{\sin 74^{\circ}}{26}\\\\\sin x=\frac{27 \sin 74^{\circ}}{26}\\\\x \approx 86.6^{\circ}, 93.4^{\circ}[/tex]
Both of these cases satisfy the angle sum of a triangle.
Fill in the missing amounts.
Receipt of May is 835
Net cash flow of April is 210
Cumulative balance of March is 240
Explanation
Net cash flow = Receipt - Expense
Receipts amount = Expenses+Net cash flow
Cumulative balance amount =Cumulative amount for April-Net cash flow for April
what theorem can be used to find segment lengths in a triangle with a segment drawn parallel to a side of the triangle?
The midsegment linking the cartesian coordinates of two of a triangle's sides is parallel to the fourth aspect of the triangle, and its length is half that of the third side, according to the midsegment theorem.
Whence came the triangle?The assertions that the Greek mathematician Pythagoras discovered the properties of right-angled triangles in the fifth century BC just did not match up, according to many. Some people think following commentary shows it was a joint effort among his disciples, the Pythagoreans.
Which four primary triangles are there?Equilateral: equal angles and all three sides. Acute isosceles: two identical sides and angles, both of which are only about 90 degrees. Acute scalene has irregular sides and angles, all of which are under 90 degrees. Obtuse isosceles: two identical sides and angles, one of which is more than 90 degrees.
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Line q passes through points (10, 9) and (4, 2). Line r passes through points (8, 8) and (2, 1). Are line q and liner parallel or perpendicular?
Answer: Parallel
Step-by-step explanation:
To solve this question, we need to find the slopes of both lines q and r.
First, let's find the slope of line q.
Δx/Δy=-7/-6 = 7/6
Next, the slope of line r.
Δx/Δy=-7/-6 = 7/6
Both lines have the same slope.
Therefore, they are parallel.
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 10.5 ft by 7 ft by 10 ft. If the container is entirely full and, on average, its contents weigh 0.24 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.
Answer: 3062 pounds
Step-by-step explanation: 10.5x7x10 is 735 and divided by 0.24 is 3062.2 pounds rounded to 3062
Can anyone help me with this please
The turning point of the function is x = 1 and it is a local minima.
What is maxima and Minima ?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of peaks and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph. Maxima will be the curve's highest point within the specified range, while minima will be its lowest.
Extrema is the result of maxima and minima combined. The graph in the graphic below shows several peaks and falls. We obtain the function's maximum and lowest values at x = a and 0 respectively, and at x = b and c respectively. The valleys are the minima and all the peaks are the maximum.
In a function, maxima and minima can be of two different types:
Local Maxima and Minima
Global or Absolute Maxima and Minima
The function is
y = [tex](x-1)^{2}[/tex] for -3 ≤ x ≤ 3
differentiating both side with respect to x we get
[tex]\frac{dy}{dx} = 2(x-1)[/tex]
for maxima and minima [tex]\frac{dy}{dx} = 0[/tex]
or, 2(x-1) = 0
or x = 1
Now, for x > 1 [tex]\frac{dy}{dx} > 0[/tex]
So, the function's turning point is a minima.
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Find the average rate of change of h (x) = -2x²-3x from x=2 to x = 4. Simplify your answer as much as possible.
Satan said that by eating of the forbidden tree Adam and Eve could become as wise as he was.
True or false
Answer:
Step-by-step explanation:
true
find the value of x
(need answered fast)
Answer:
The measure of the third angle of the triangle is 45°.
Step-by-step explanation:
What is a triangle?
A triangle is a polygon with 3 sides.
Given that, the measures of the two angles of a triangle are 50° and 85°.
Let the measure of the third angle be x.
Since the sum of the interior of a triangle is 180°, it follows,
50°+85°+x=180°
135° +x = 180°
x = 180° - 135°
x = 45°
Hence, the measure of the third angle of the triangle is 45°.
