The initial speed of the ball is approximately 7.14 m/s, and it takes about 0.729 seconds to reach the ceiling.
To calculate the initial speed of the ball and the time it takes to reach the ceiling, we can use the equations of motion.
1. Calculate the time it takes for the ball to reach the ceiling:
We can use the equation:
s = ut + (1/2)at^2
Where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time. Since the displacement of the ball is equal to the height of the ceiling, which is 2.70 m, and the ball starts and stops at zero velocity, the equation simplifies to:
2.70 = 0 + (1/2)(-9.8)t^2
Solving for t:
2.70 = -4.9t^2
t^2 = 2.70 / -4.9
t = √(2.70 / -4.9)
t ≈ 0.729 seconds
2. Calculate the initial speed of the ball:
We can use the equation:
v = u + at
Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Since the final velocity is zero when the ball reaches the ceiling, and the acceleration is -9.8 m/s^2 (due to gravity), the equation simplifies to:
0 = u + (-9.8)(0.729)
u = 9.8(0.729)
u ≈ 7.14 m/s
Therefore, the initial speed of the ball is approximately 7.14 m/s, and it takes about 0.729 seconds to reach the ceiling.
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What is the area of a triangle whose vertices are D(1, 1), E(3, -1), and F(4, 4)?
Enter your answer in the box.
Answer:
6
Step-by-step explanation:
Trust
A Galaw $20 is 800 Dn cheaper than the $21. Which of the below exprestions models tis shabon if 520 represerts ?we price of the 320 and 521 represerts the grice of the sa1? a) S21=S20−800 b) S20=S21+800 c) S20=800 d) S21S20=S21−800
The expression that models the relationship between the prices is option a) S21=S20−800.
According to the given information, a Galaw $20 is $800 cheaper than the $21. Let's denote the price of the Galaw $20 as S20 and the price of the $21 as S21.
Since the Galaw $20 is $800 cheaper than the $21, we can represent this relationship with the equation S21 = S20 - 800.
This equation states that the price of the $21 is equal to the price of the Galaw $20 minus $800. Therefore, option a) S21 = S20 - 800 is the correct expression that models the given scenario.
The other options do not accurately represent the relationship between the prices. Option b) S20 = S21 + 800 suggests that the Galaw $20 is $800 more expensive than the $21, which contradicts the given information. Option c) S20 = 800 implies that the price of the Galaw $20 is a fixed value of $800, regardless of the price of the $21. Option d) S21S20 = S21 - 800 does not accurately represent the relationship between the prices.
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Kevin divided 1/5 our inches certain number of intervals each interval was 1/40 hour long into how many intervals did Kevin divide the time
A. 45
B. 35
C. 8
D. 5
Zoe owns a food truck that sells tacos and burritos. She only has enough supplies to make 113 tacos or burritos. She sells each taco for $3 and each burrito for $6. Zoe must sell at least $510 worth of tacos and burritos each day.
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
Zach bought 8 pieces of bubble gum that were $0.20 each. He used a number line to find the total cost. Choose the numbers to complete the sentences.
Zach started on the number line at 0.2 for the cost of one piece of gum. He moved
_____
hash marks. The total cost is
_____
Answer:
He moved 7 hash marks and the product is $1.60
Step-by-step explanation:
It’s says he starts at 0.2 on the number line, so that’s the second hash mark after the 0. If you move to the right on each hash all the way til the 2, you moved 7 times.
The product of 8 x .20 = 1.60
Zach started on the number line at 0.2 for the cost of one piece of gum he moved 1.4 hash marks and the total cost is 1.6 dollars.
What is a number line?A number line is a horizontal one-dimensional line where we can plot any real number called the real number line. The origin of a real number line is denoted with a value of zero.
Zach bought 8 pieces of bubble gum that were 0.2 dollars each.
If we assume x as the no. of pieces then this can be represented as,
0.2x, where x ∈ N, [1, 8].
Zach started on the no. line at 0.2 for the cost of one piece of bubble gum.
∴ The cost of 8 pieces of bubble gum is (0.2×8) = 1.6 dollars.
So, he moved (1.6 - 0.2) = 1.4 on the number line.
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Which of the following best defines a ray?
a. a section of line with a defined starting point
b. a section of line
c. a side of a figure like a triangle or square
d. a section of line with defined endpoints
Answer:
A
Step-by-step explanation:
Rays start at one point and continue forever in the same direction. Based off of this, we can eliminate options B, C, and D because they are all talking about line segments, which are completely different than rays. Therefore, the answer is A.
calculate the distance traveled over 9hrs 45 km at a speed of 840km/h
The distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.
Speed can be thought of as the rate at which an object covers distance.
A fast-moving object has a high speed and covers a relatively large distance in a given amount of time, while a slow
moving object covers a relatively small amount of distance in the same amount of time.
To calculate the distance traveled over 9 hours at a speed of 840 km/h, follow these steps:
1. Identify the time and speed given in the student question: 9 hours and 840 km/h.
2. Use the formula for distance:
distance = speed × time.
3. Plug in the values:
distance = 840 km/h × 9 hours.
4. Calculate the distance:
distance = 7,560 km.
So, the distance traveled over 9 hours at a speed of 840 km/h is 7,560 km.
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Write an equation for the line in the given form.
slope is -5 and (5, 4) is on the line; standard form
Answer:
5x+y=29
Step-by-step explanation:
You use the information that is given and convert it into point-slope form y-y1=m(x-x1) like so. y-4= -5(x-5). Then you solve for y and you get y= -5x+29 which is slope intercept form (y=mx+b). Then you transform it into Standard form (ax+by=c) so all you do is add 5 on both sides and you get 5x+y=29. Now you have found your solution.
If you can please make my answer the brainliest that would be much appreciated. Thanks!
What is the point of concurrency of the right bisectors of the sides of triangle?
The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.
- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.
In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.
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at a certain high school, the prom committee is going to choose new members. there are students from the junior class and students from the senior class who are willing to be new members. in how many ways can new members be chosen if more than must be from the senior class?
Answer:
Step-by-step explanation:
7 students from the Junior class.
6 students from the Senior class.
4 new members are to be chosen.
Required: Find the number of ways 4 new members can be chosen if 2 or fewer must be from the senior class. So, Therefore, the correct answer is 560 ways.
a metal-cutting operation has a target value of 20 and consistently averages 19.8 with a standard deviation of 0.5. the design engineers have established an upper specification limit of 22 and a lower specification limit of 18. which statement concerning this process is true?
The process is capable of producing outputs within the specification limits is true.
There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.
The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.
One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.
It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.
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A.The process is in statistical control.
B.The process is capable of producing outputs within the specification limits.
C.The process is capable of producing outputs within the tolerance limits.
D.The process is capable of producing outputs within the control limits.
E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits
which statement concerning this process is true?
A car is traveling down a road at a constant speed of 50 miles per hour. Write an equation that represents the distance traveled by the car, d, for an amount of time, t
Answer:
distance divided by rate = time aka D/R=T
Step-by-step explanation:
this is what i learned at least hope it helps
The equation that represents the distance traveled by the car is equal to d = 50 x t.
Speed calculation
To calculate the speed of an object, it is necessary to relate the distance traveled and the time required to travel that distance, so that:
\(V = \frac{d}t}\)
Thus, as we are given the value of a velocity and if we are asked for the expression that represents the distance traveled depending on the time, we have:
\(50 miles/hour = \frac{d}{t}\)
\(d = 50 \times t\)
So, the equation that represents the distance traveled by the car is equal to d = 50 x t.
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How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
\(f(x)=x^3\)
If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.
\(f(x)=(x-8)^3\)
graph shifted toward right by \(8\) units right
\(f(x)=(x-8)^3+3\)
graph shifted toward right by \(3\) units up
Thus the new function is:
\(g(x)=(x-8)^3+3\)
There are 8 times as many males as females on the maths course at university. What fraction of the course are female? Give your answer in its simplest form.
Answer:
⅑
Step-by-step explanation:
Let m represents number of males, and f represents number of females taking the maths course.
Given that number of males (m) taking the maths course is 8 times as much as number of females (f), total number of students taking the maths course (T).
Thus we can represent the information above with the following:
m = no. of males
f = no. of females
T = Total
m = 8f
T = m + f
Thus,
Total = 8f + f = 9f
==>The fraction of the course that are females = No. of females (f) ÷ Total no. of students (T)
= f/9f
Fraction of females in simplified form would be ⅑
Assume that f(-1) = -2. Assume also that the graph of y=f(x) is symmetric with respect to the line x = - 3. Find another value for the function.
Using the symmetry property of the graph of y = f(x) with respect to the line x = -3, we can find another value for the function. Since f(-1) = -2, the corresponding point on the other side of the line x = -3 is (-5, -2), implying that f(-5) = -2.
Given that the graph of y = f(x) is symmetric with respect to the line x = -3, we know that if a point (a, b) lies on the graph, then the point (-6 - a, b) also lies on the graph. This symmetry property allows us to find another value for the function.
Given that f(-1) = -2, we can determine the corresponding point on the other side of the line x = -3 by mirroring the given point. The x-coordinate of the mirrored point is obtained by subtracting the x-coordinate of the given point from -6. In this case, -6 - (-1) = -5. So, the mirrored point is (-5, -2), and we can conclude that f(-5) = -2.
In conclusion, by utilizing the symmetry property of the graph with respect to the line x = -3, we find that f(-5) = -2.
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Given h (x) = 5 x + 1, find h(2)
Answer:
h(2) = 5.2 + 1 = 10 + 1 = 11
help me please! integral calculus!
Refer to the attached images.
Use the function boxplot to draw a box plot of the rear width (the variable RW) by species (the variable sp). Attach your R code.
In the box plot you made above, on the x-axis you should see two tick labels B and 0 . Which of the following argument can be used to adjust the size of them? (These arguments all accept numerical values.)
(A) 1ty (B) Iwd (C) cex. 1ab (D) cex.axis
The argument can be used to adjust the size of the two tick labels B and 0 on the x-axis is cex.axis of the boxplot. Option D is the correct choice.
To create a boxplot of rear width (RW) by species (sp) using the boxplot function in R, you can use the following R code:
```R
boxplot(RW ~ sp, data = your_data)
```
In this code, replace 'your_data' with the name of your data frame containing the variables RW and sp.
Regarding the options for adjusting the size of the tick labels (B and 0) on the x-axis, the correct argument is (D) cex.axis. You can use this argument to set the size of the tick labels as follows:
```R
boxplot(RW ~ sp, data = your_data, cex.axis = desired_size)
```
Replace 'desired_size' with a numerical value to set the size of the tick labels.
The answer is: (D) cex.axis
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someone please help 5 points!!
Answer:
7.1 is the answer of this question
i want answer
step by step
process by process
who will give correct answer i make him as a brainlists
(Assuming all these lines are parallel to each other)
Angle x = 70, because it is corresponding to the 70 angle.
Angle y = 70, because it is corresponding to x
Angle z = 70, because angle z and angle y are alternate angles
(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)
John finds that the sum of two numbers is 24 and their difference is one sixth of the
sum. Find the smallest number between the two numbers.
Given:
The sum of two numbers is 24 and their difference is one sixth of the sum.
To find:
The smaller number between the two numbers.
Solution:
Let x and y be the two numbers where x>y.
The sum of two numbers is 24.
\(x+y=24\) ...(i)
Their difference is one sixth of the sum.
\(x-y=\dfrac{1}{6}\times 24\)
\(x-y=4\) ...(ii)
Adding (i) and (ii), we get
\(2x=28\)
\(x=\dfrac{28}{2}\)
\(x=14\)
Putting \(x=14\) in (i), we get
\(14+y=24\)
\(y=24-14\)
\(y=10\)
The two numbers are 14 and 10.
Therefore, the smaller number between the two numbers is 10.
Refer to the technology output given to the right that results from measured hemoglobin levels (g/dL) in
100 randomly selected adult females. The confidence level of
99% was used.
a. What is the number of degrees of freedom that should be used for finding the critical value
t Subscript alpha divided by 2
tα/2?
b. Find the critical value
t Subscript alpha divided by 2
tα/2 corresponding to a
99% confidence level.
c. Give a brief description of the number of degrees of freedom.
TInterval
left parenthesis 12.956 comma 13.598 right parenthesis
(12.956,13.598)
x overbar
equal
13.277
Sx
equals
1.223
n
equals
100
The number of degrees of freedom for finding the critical value tα/2 in this case is 99, which corresponds to the sample size of 100 adult females minus 1. The critical value tα/2 is used to determine the margin of error in constructing confidence intervals at a 99% confidence level.
To determine the number of degrees of freedom for finding the critical value tα/2, we need to consider the sample size of the data. In this case, the sample size is 100 randomly selected adult females.
Degrees of freedom (df) in a t-distribution is calculated as the sample size minus 1 (df = n - 1). Therefore, in this case, the degrees of freedom would be 100 - 1 = 99.
The t-distribution is used when the population standard deviation is unknown, and the sample size is relatively small. It is a symmetric distribution with thicker tails compared to the standard normal distribution (z-distribution).
When calculating confidence intervals or critical values in a t-distribution, we need to specify the confidence level. In this case, a 99% confidence level was used.
The 99% confidence level implies that we want to be 99% confident that the true population parameter falls within the calculated interval.
For a 99% confidence level in a t-distribution, we need to find the critical value tα/2 that corresponds to the upper tail area of (1 - α/2) or 0.995. The critical value tα/2 is used to determine the margin of error in constructing confidence intervals.
Therefore, the number of degrees of freedom to be used for finding the critical value tα/2 in this case is 99.
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Please help me ASAP!!!!!
Answer:
A
Step-by-step explanation:
The searched angle is a circumference angle that insists on the arc whose angle is 134 degrees. So its measure is half of it
134 : 2 = 67 degrees
Five whole numbers are written in order
4 6 x y 10
The mean of the five numbers are the same
work out the values of x and y?
whats x and y?
wiling to give 30 points
: Use the substitution method.
{x=14y+2−4x+3y=4
(−112, −263 )
(−14, 1 )
(54, 3 )
(72, 6 )
Answer:
so the answer is
D. (7/2, 6)
Step-by-step explanation:
The question was wrong, but I will still answer it:
Steps: Solve x = 1/4y + 2 for x:
x = 1/4y + 2
Steps: Substitute 1/4y + 2 for x in -4x + 3y = 4
−4x + 3y = 4
-4 (1/4y + 2) + 3y = 4
2y − 8 = 4 (Simplify both sides of the equation)
2y − 8 + 8 = 4 + 8 (Add 8 to both sides)
2y = 12
2y/2 = 12/2 (Divide both sides by 2)
y = 6
Steps: Substitute 6 for y in x = 1/4y + 2:
x = 1/4y + 2
x = 1/4(6) + 2
x = 7/2 (Simplify both sides of the equation)
so the answer is :
x = 7/2 and y = 6
On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9y+n+5. Jake says that 9 is a coefficient and 5 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
true or false, the misuse of statistics is sometimes intentional. group of answer choices true false
The given statement "The misuse of statistics is sometimes intentional." is True, because there are instances where people intentionally misuse statistics to manipulate or deceive others.
The misuse of statistics can be an intentional act by individuals or organizations to manipulate or deceive others. This is often done by selectively choosing data or statistics that support a particular argument or position, while ignoring or downplaying information that does not support it.
One way this can be achieved is by distorting graphs or charts. For example, a bar chart can be designed to visually exaggerate the differences between data points, making the differences appear more significant than they actually are. This can be done by adjusting the scale of the chart or by changing the width of the bars.
Another way that statistics can be misused is by making false claims based on the data. For example, someone may use a correlation between two variables to imply a causal relationship, even though there may not be any evidence to support this claim.
Similarly, statistics can be used to mislead people by presenting them in a way that is misleading. For example, a statistic may be presented without any context or compared to an irrelevant baseline, making it appear more significant or less significant than it actually is.
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This is my last question
Answer:
the first one
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
it is going to be answer 2 because he put more in at the end
why is the cartesian coordinate system also called a plane
The Cartesian coordinate system is also referred to as a plane because it represents a two-dimensional space.
In mathematics, a plane is a flat surface that extends infinitely in all directions. The Cartesian coordinate system consists of two perpendicular lines, known as the x-axis and y-axis, which intersect at a point called the origin. These axes divide the plane into four quadrants.
The term "plane" in the context of the Cartesian coordinate system originates from the concept of a geometric plane, which is a fundamental concept in Euclidean geometry. In Euclidean geometry, a plane is a flat, two-dimensional surface that extends infinitely in all directions.
The Cartesian coordinate system borrows this concept and applies it to represent points, lines, curves, and shapes in a two-dimensional space.
By using the Cartesian coordinate system, we can assign coordinates (x, y) to any point in the plane, where the x-coordinate represents the horizontal position and the y-coordinate represents the vertical position.
This system allows us to precisely locate and describe objects or phenomena within the two-dimensional space, making it a valuable tool in various fields such as mathematics, physics, engineering, and computer graphics.
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