Answer:
a) v.h=v*cos(63)=7.26 m/s
b) v.v=v*sin(63)=14.26 m/s
c) t=v.v/g=14.26/9.8=1.46 s since time the body takes to go upward is defined by the acceleration due to gravity and the vertical component of the speed
d) h=1/2*gt^2=7.15 m
e) T=2t=2.92 s
f) R=v.h*t=7.26*1.46=10.6 m since horizontal displacement is defined by the horizontal component of the speed only.
Step-by-step explanation:
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The ratio of boys to girls is 2 to 6. If there are 36 students in class, how many boys are there?
Answer:
9 boys, 27 girls
Step-by-step explanation:
2 boys : 6 girls = 1 boy : 3 girls
Let b = number of boys and g = number of girls.
[tex] \frac{1}{3} = \frac{b}{g} [/tex]
[tex]g = 3b[/tex]
[tex]b + 3b = 4b = 36[/tex]
[tex]b = 9[/tex]
[tex]g = 27[/tex]
Let f(x)= x² + 5x - 8.
What is the average rate of change from x = 2 to x = 6?
Enter your answer in the box.
The average rate of change of the function f(x) from x = 2 to x = 6 is 13.
What is a function?In mathematics, a function is a rule that associates each element of a set (called the domain) with a unique element in another set (called the range). In other words, a function is a relationship between two sets, where each element of the domain is paired with exactly one element in the range.
According to the given information:To find the average rate of change of the function f(x) from x=2 to x=6, we need to calculate the slope of the secant line between the two points.
The formula for the average rate of change of a function f(x) from x=a to x=b is:
average rate of change = (f(b) - f(a)) / (b - a)
In this case, a = 2 and b = 6. So we have:
average rate of change = (f(6) - f(2)) / (6 - 2)
Now, let's substitute the values of f(6) and f(2) in the above equation:
average rate of change = ((6)² + 5(6) - 8 - (2)² - 5(2) + 8) / (6 - 2)
average rate of change = (36 + 30 - 8 - 4 - 10 + 8) / 4
average rate of change = 52 / 4
average rate of change = 13
Therefore, the average rate of change of the function f(x) from x = 2 to x = 6 is 13.
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the median and mean of : 24 , 44 , 10 , 22
Answer:
The mean is 25 and the median is 23
Please help!!! even if you awnser one is will help so much
Answer:
See attached.
Step-by-step explanation:
Helping in the name of Jesus.
In an examination, 60 candidates passed Integrated Science or Mathematics. If 15 passed both subjects and 9 more passed Mathematics than Integrated Science, find the: (i) number of candidates who passed each subject. (ii) probability that a candidate passed exactly one subject.
Answer:
i) 42 candidates passed Mathematics, 33 candidates passed Science.
ii) There is a 75% chance that a candidate passed exactly one subject.
Step-by-step explanation:
So we know that in total there are 60 candidates, and 15 passed both.
That leaves us with 45 candidates that passed either science or math. Since 9 more passed math than science, we see that out of those 45, 27 candidates passed math and 18 passed science. We add the 15 that got through both to each number, which means in total 42 candidates passed Mathematics, 33 candidates passed Science.
To see the probability, we know that 45 out of 60 only passed one subject. Simplified is 3/4 or 75%.
Th e surface area S, in square units, of a sphere with volume V, in cubic units, is given by the formula S 5 p 1 3(6V) 2 3. What is the surface area of a sphere with volume 4 3 mi3? Write your answer in terms of p 1 3. Show your work.
According to the question the surface area of the sphere with volume 4/3 mi^3 is: S = 4π^(1/3) square units.
Explain volume?The volume of a cube is measured in terms of the total amount of cube unit that something that fills. Simply put, volume is the entire amount of space that an object occupies. The formula a3, wherein there is the cube's edge, can be used to determine the cube's volume.
The formula given is:
[tex]S = \pi ^(1/3) * (6V)^(2/3)[/tex]
We are given that [tex]V = 4/3 mi^3[/tex]. Substituting this into the formula:
[tex]S = π^(1/3) * (6(4/3))^(2/3)\\S = π^(1/3) * (8)^(2/3)[/tex]
Now we need to evaluate [tex]8^{2/3}[/tex]. This means finding the number that, when raised to the power of 3, gives us 8. This is the cube root of 8, which is 2:
[tex]8^{2/3} = (2^3)^(2/3)= 2^(3*2/3)= 2^2 = 4[/tex]
Substituting this back into the formula:
[tex]S =\pi ^(1/3) * 4[/tex]
So the surface area of the sphere with volume [tex]4/3 mi^3[/tex]is:
[tex]S = 4\pi ^(1/3)[/tex]square units.
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a patient spent 25 minutes waiting in the reception area before seeing a doctor. the visit with the doctor lasted 5 minutes. what is the value-added percentage of the patient? multiple choice 80% 17% 20% 83%
The patient value-added percentage is 17%. The doctor and the waiting are the two separate activities that happened one after another in the hospital. The value-added time is the time that creates value for the customers or patients.
Patient value-added percentage refers to the percentage of time that adds value to the patient.
The patient value-added percentage can be calculated using the following formula,
Value-added percentage = Value-added time ÷ Total time
The given values are,Waiting time = 25 minutes
Visit time = 5 minutes
Total time = Waiting time + Visit time= 25 + 5= 30 minutes
The value-added time is the time that creates value for the customers or patients.
The visit time is the value-added time in this case.
Value-added time = Visit time= 5 minutes
Putting the values in the formula,
Value-added percentage = Value-added time ÷ Total time= 5 ÷ 30= 1 ÷ 6= 0.1666...
The value-added percentage is 16.66… which is approximately 17%.Therefore, the patient value-added percentage is 17%.
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Find the values that complete the table at the right for y=-4x
The table of values of the equation y = -4x is
x y
-2 8
-1 4
0 0
1 -4
How to complete the table of values of the equationGiven that
y = -4x
To find the values that complete the table for the given equation y=-4x, we substitute each value of x and evaluate y.
When x = -2, y = -4x = -4(-2) = 8
When x = -1, y = -4x = -4(-1) = 4
When x = 0, y = -4x = -4(0) = 0
When x = 1, y = -4x = -4(1) = -4
So the completed table is:
x y
-2 8
-1 4
0 0
1 -4
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WILL GIVE BRAINLYEIST
Answer:
82 square feet
Step-by-step explanation:
The surface area of this pyramid:
[tex]5(4) + 2(\frac{1}{2} (4)(7) + \frac{1}{2} (5)(6.8))[/tex]
[tex]20 + 2(14 + 17)[/tex]
[tex]20 + 2(31) = 20 + 62 = 82[/tex]
A random sample of 100 customers at a local ice cream shop were asked what their favorite topping was. The following data was collected from the customers.
Topping Sprinkles Nuts Hot Fudge Chocolate Chips
Number of Customers 12 17 44 27
Which of the following graphs correctly displays the data?
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27, and the fourth bar labeled chocolate chips going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled sprinkles going to a value of 17, the second bar labeled nuts going to a value of 12, the third bar labeled hot fudge going to a value of 27 ,and the fourth bar labeled chocolate chips going to a value of 44
a histogram titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled nuts going to a value of 17, the second bar labeled sprinkles going to a value of 12, the third bar labeled chocolate chips going to a value of 27, and the fourth bar labeled hot fudge going to a value of 44
a bar graph titled favorite topping with the x axis labeled topping and the y axis labeled number of customers, with the first bar labeled Sprinkles going to a value of 12, the second bar labeled Nuts going to a value of 17, the third bar labeled Hot Fudge going to a value of 44, and the fourth bar labeled Chocolate Chips going to a value of 27 correctly displays the data.
a cone is cut into two pieces: a smaller cone and a frustrum
Answer:
incomplete question, could u provide the whole question please?
QM= 31, RM= 21, and PM= 4PN
Determine whether ------ || ------
NR PQ. Justify your answer.
I need help who can help with this
By determining in triangle MPQ, NR || PQ, if QM= 31, RM= 21 and PM= 4PN , [tex]\frac{PN}{NM} \neq \frac{QR}{RM}[/tex] , So correct option is A.
Describe Triangles?A triangle is a three-sided polygon that consists of three line segments, or sides, that intersect at three points, or vertices. Triangles are one of the fundamental shapes in geometry and have numerous properties and applications in mathematics, science, and engineering.
Triangles can be classified based on the lengths of their sides and the measures of their angles. Triangles with three equal sides are called equilateral triangles, while triangles with two equal sides are called isosceles triangles. Triangles with no equal sides are called scalene triangles. Triangles can also be classified based on the measures of their angles, with acute triangles having all angles less than 90 degrees, obtuse triangles having one angle greater than 90 degrees, and right triangles having one angle equal to 90 degrees.
The Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, is a fundamental concept in trigonometry and has numerous practical applications.
Overall, triangles are an important shape in mathematics and have many practical applications in fields such as engineering, architecture, and physics.
As shown in the question:
QM= 31, RM= 21, PM= 4PN
So RQ= 31-21= 10
[tex]\frac{PN}{NM} = \frac{1}{3}\\[/tex]
[tex]\frac{QR}{RM}= \frac{10}{21}[/tex]
So, [tex]\frac{PN}{NM} \neq \frac{QR}{RM}[/tex]
NR and PQ are not parallel .
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The complete question is:
Find an equation of the circle with radius 2√10 and centre (0, 0).
Submit Answer
Answer:
x ² + y² = 10 if the 2 symbolizes root orx² + y² = 40Step-by-step explanation:
a senate subcommittee consists of ten democrats and seven republicans. in how many ways can a chairman, vice chairman, and secretary be chosen if the chairman must be a democrat and the vice chairman must be a republican?
There are 16 ways to choose a chairman, vice chairman, and secretary under these conditions
Since, the chairman must be a Democrat and the vice chairman must be a Republican, we have one choice for the chairman (out of the 10 Democrats) and one choice for the vice chairman (out of the 7 Republicans).
For the secretary, we have 16 people left to choose from (since we have already chosen the chairman and vice chairman), and it can be either a Democrat or a Republican.
Therefore, the number of ways to choose a chairman, vice chairman, and secretary is:
¹⁶C₁ = 16
So, there are 16 ways to choose a chairman, vice chairman, and secretary under these conditions
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What is the value of 4 in the hundreds place
Answer:
The Place Value of '4' will be 400 if we keep it in the Hundreds place
The Face Value of '4' will remain the same
In T-ball, batters hit a ball that is placed on a T-shaped stand. Batter A hits the ball by swinging the bat from a resting position on his shoulder. Batter B hits the ball with the bat directly behind it. In one or two sentences, create and justify a claim about which batter will likely hit the ball the greater distance.
It is likely that Batter A, who swings the bat from a resting position on his shoulder, will hit the ball a greater distance than Batter B, who hits the ball with the bat directly behind it. This is because Batter A is able to generate more power and momentum with his swing, whereas Batter B's swing may be more limited in its range of motion and force.
Alan has 1/3 of a pizza left. He wants to share the pizza equally among himself and three friends.
How much of the pizza will each person receive?
PLEASE PROVIDE MY ANSWER QUICKLY
Answer:0.08
Step-by-step explanation:If you divide the (1/3)/4 that will get you 0.08
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
The expressions in the table represent how far two friends rode their bicycles on a bike trail.
Rider Miles Biked
Jackson 4n + 2
Ayanna 3n + 5
Write an expression that shows the difference between the miles ridden by Jackson and the miles ridden by Ayanna.
Part A: The total distance that the both friends covered with their bicycle = 7n + 7
Part B: The difference between the miles ridden by Jackson and the miles ridden by Ayanna would be =n-3.
How to calculate the total distance that was covered by both friends?The distance that was covered by;
Jackson = 4n + 2
Ayanna = 3n + 5
Total distance = 4n + 2+3n + 5
= 7n + 7
The difference between the both distance = (4n + 2)- 3n + 5
= 4n+2-3n-5
= n -3
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41st term of 12,19,26
Answer:
292
Step-by-step explanation:
To find the 41st term of the sequence 12, 19, 26, we need to first find the common difference, d, between consecutive terms. We can do this by subtracting the first term from the second term (or the second term from the third term). So the common difference is 7. Now we can use the formula for the nth term of an arithmetic sequence. where an is the nth term, a1 is the first term, d is the common difference, and n is the term we want to find. Substituting the given values, you get the 41st sequence is 292.
Sara is designing a cardboard box to hold identical soda cans. Each can holds 450 cubic centimeters of soda. The cans are cylinder at are 12 centimeters tall. The cans fit in the box in rows of 3 shown below.
The figure is not drawn below
The box must hold 15 total soda cans, Sarah wants to make the box as small as possible in order to minimize the cost of the materials used, what length to the nearest whole centimeter should she make the box?
The length that Sarah should make the box in order to minimize the cost of the materials used, is 18 cm.
How to find the length of the box?We know that each can holds 450 cubic centimeters of soda and is 12 centimeters tall. Let's first find the radius of the soda can.
The volume of a cylinder is given by the formula:
V = πr²h
Plugging in the given values:
r = √(450 / (π x 12))
r ≈ 1.77 cm
Now, we know that the box must hold 15 soda cans, and they fit in the box in rows of 3. This means there are 3 rows along the width and 5 rows along the length of the box.
Width: 3 cans x diameter = 3 x 2 x 1.77 ≈ 10.62 cm (since the diameter is twice the radius)
Length: 5 cans * diameter = 5 x 2 x 1.77 = 18 cm
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the square root of 0.2468
Answer:
2468
Step-by-step explanation:
I need some help please
Answer:
Step-by-step explanation:
please help!! 20 points for those who help
Graph the line with an x-intercept of 3 and a y-intercept of -2.
Plot two points to graph the line.
Cuanto es 13131312316273612618273681723617312863217682116+2364235425427542654273654236452547
Answer:
1.31313123x10^{46}
Step-by-step explanation:
Scarlett needs to buy a bathroom mirror that is 5 feet wide and 7 feet long. If the mirror sells for $3.00 per square foot, what will the total cost of the mirror be?
Answer:
$105.00
Step-by-step explanation:
To find the total cost of the mirror, we need to first calculate its area. The area of the mirror can be found by multiplying its length by its width.
So, the area of the mirror would be:
Area = Length x Width
Area = 7 feet x 5 feet
Area = 35 square feet
Now that we know the area of the mirror, we can calculate the total cost by multiplying the area by the price per square foot:
Total Cost = Area x Price per square foot
Total Cost = 35 square feet x $3.00 per square foot
Total Cost = $105.00
Therefore, the total cost of the mirror would be $105.00.
Answer:105$
Step-by-step explanation: all you need to do is 5x7=35
35 is the amount of square feet the square has. Then you do 35 x 3.00=
105$
a telephone call center uses two customer service representatives (csrs) during the 8:30 a.m. to 9:00 a.m. time period. the standard service rate is 2.0 minutes per telephone call per csr. assuming a target labor utilization rate of 70 percent, how many calls can these two csrs handle during this half-hour period? round your answer to the nearest whole number.
A telephone call center uses two customer service representatives (csrs) during the 8:30 a.m. to 9:00 a.m. time period. the standard service rate is 2.0 minutes per telephone call per csr. assuming a target labor utilization rate of 70 percent, Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.
Given a telephone call center uses two customer service representatives (CSRs)
during the 8:30 a.m. to 9:00 a.m. time period, and the standard service rate is 2.0 minutes per telephone call per CSR. Assuming a target labor utilization rate of 70%,
we have to determine the number of calls these two CSRs can handle during this half-hour period.
The formula to calculate the number of calls that can be handled during this half-hour period is:
Number of calls = (number of servers x utilization rate x service time) / arrival rate
= (2 x 0.70 x 2) / 1
= 2.8 calls (rounded to the nearest whole number)
Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.
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You are playing a board game. The board game uses a "spinner" that has the numbers 1 through 7 inclusive (ie: you flick the needle on the spinner and it indicates a random number, 1 through 7). It also uses a single 6-sided die. On any given turn, what are the odds that you will spin a 3? Ignore the die roll. Put your answer in the form of a decimal (ex: a 30% chance would be written 0. 3)
The odds of spinning a 3 on any given turn is 1 out of 7 or 14%. This can be expressed as a decimal by dividing 14 by 100, which yields probability of 0.14.
To calculate this, we divide the number of favorable outcomes (1) by the total number of possible outcomes (7). This is the same as the probability of spinning a 3 on a given turn, which can be expressed as a decimal, fraction, or percentage.The odds of spinning a 3 on any given turn is 1 out of 7 or 14%. This can be expressed as a decimal by dividing 14 by 100, which yields 0.14. To calculate this, we divide the number of favorable outcomes (1) by the total number of possible outcomes (7). This is the same as the probability of spinning a 3 on a given turn, which can be expressed as a decimal, fraction, or percentage.
P(Spin a 3) = favorable outcomes/ total outcomes
= 1/7
= 0.14
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If X+5=7, then X = ?
Answer:
x=2
Step-by-step explanation:
x=7-5
x=2
Thank you for your question
find the area of the figure
Answer: 165 square cm
Step-by-step explanation:
What is the correct fraction/percentage?
The probability that a student chosen at random will play the bass is 12/43.
What is probability?
Probability is a branch of mathematics that deals with the study of random events or experiments. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. An event with a probability of 0 means it is impossible, while an event with a probability of 1 means it is certain to occur. Probabilities between 0 and 1 indicate the degree of uncertainty of the event occurring.
To find the probability that a student chosen at random will play the bass, we need to find the total number of students who play the bass and divide it by the total number of students in the middle school School of Rock.
The total number of students who play the bass is the sum of the number of seventh-grade students who play bass and the number of eighth-grade students who play bass:
Total number of bass players = 14 + 10 = 24
The total number of students in the middle school School of Rock is the sum of the number of seventh-grade students and the number of eighth-grade students:
Total number of students = 12 + 14 + 9 + 5 + 10 + 36 = 86
Therefore, the probability that a student chosen at random will play the bass is:
P(bass) = Total number of bass players / Total number of students = 24/86
To simplify this fraction, we can divide both the numerator and denominator by 2:
P(bass) = (24/2) / (86/2) = 12/43
Therefore, the probability that a student chosen at random will play the bass is 12/43.
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