Answer: A child tosses a tennis ball into the air and it lands in the mud. The function h(t)=−16t2+16t+4
h
(
t
)
=
−
16
t
2
+
16
t
+
4
h(t)=−16t
2
+16t+4 gives the ball's height in feet with respect to time in seconds. a. Sketch a graph of y = h(t). Highlight the portion of the curve that fits this situation. b. What is happening to the height of the tennis ball with respect to the time? c. Since velocity is a function of distance traveled overtime, what part of the graph represents the velocity of the ball? What is happening to the velocity of the tennis ball with respect to time? d. Copy and complete the following table of time (s) versus height (ft). $$\begin{matrix}\text{t (s)} & \text{0} & \text{0.25} & \text{0.5} & \text{0.75} & \text{1} & \text{1.25} & \text{1.50}\\text{h (ft)} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{} & \text{_}\\end{matrix}$$ e. Use the table to determine the ball's average velocity in ft/sec for each 0.25-second time interval. f. Predict the velocity of the ball at t = 0.8 seconds. Be prepared to justify your answer to the class.
Step-by-step explanation:
-2(a+3)+4a=18 HELP-ME PLEASEEE
Answer:
HELP*
Step-by-step explanation:
thats how u spell help ur welcome
270 π /3
Convert each degree measure into radians or radians to degrees
Mr Chan has 154 more apples than pears. After selling 4/7 of the apples and 1/2 of the pears, he had 144 fruits left. How many fruits did he sell?
The number of fruits that he sold is given as follows:
136 apples.42 pears.For a total of 178 fruits.
How to obtain the amount of fruits sold?The amount of fruits sold is obtained solving a system of equations, for which the variables are given as follows:
Variable x: number of apples.Variable y: number of pears.Mr Chan has 154 more apples than pears, hence:
x = 154 + y.
After selling 4/7 of the apples(3/7 remaining) and 1/2 of the pears, he had 144 fruits left, hence:
3x/7 + y/2 = 144.
Replacing the first equation into the second, the value of y is given as follows:
3(154 + y)/7 + y/2 = 144
6(154 + y) + 7y = 2016.
y = 84.
Then the value of x is given as follows:
x = 154 + 84
x = 238.
The amounts sold are given as follows:
4/7 x 238 = 136 apples.1/2 x 84 = 42 pears.More can be learned about a system of equations at https://brainly.com/question/13729904
#SPJ1
polygon VWYZ with vertices at V negative 9 comma 11, W negative 9 comma 3, Y negative 3 comma 3, and Z negative 3 comma 11 and polygon V prime W prime Y prime Z prime with vertices at V prime negative 9 comma negative 11, W prime negative 9 comma negative 3, Y prime negative 3 comma negative 3, and Z prime negative 3 comma negative 11
Vertical translation
Reflection across the x-axis
Reflection across the y-axis
90° clockwise rotation
The transformation undergone by the given Polygon is: Reflection across the x-axis
What is the transformation undergone by the polygon?The coordinates of the polygon before transformation are:
V(-9, 11)
W(-9, 3)
Y(-3, 3)
Z(-3, 11)
The coordinates of the polygon after transformation are:
V'(-9, -11)
W'(-9, -3)
Y'(-3, -3)
Z'(-3, -11)
We can clearly see that the transformation pattern is (x, y) → (x, -y)
This is simply a reflection about the x-axis.
Read more about polygon transformation at: https://brainly.com/question/31072444
#SPJ1
Chris's family plans to drive 220 miles to their vacation spot. They would like to complete their drive in 4 hours. Find the average speed in miles per hour needed in order to make the trip in the required time.
Answer:
24.59 m/s
Step-by-step explanation:
Average speed(m/s) = distance travelled(m) / time taken(s)
Distance = 220 miles
220 miles = 354,056 meters
Time taken = 4 hours
4 hours = 14,400 seconds
Average speed = distance travelled / time taken
= 354,056 / 14,400
= 24.59 meter/seconds
= 24.59 m/s
Jeremy is digging a hole. The bottom of the hole is – 2.8 ft from the top of the
hole. Sanjay is on a deck that is 12.3 ft above top of the hole. How many feet apart
are Sanjay and the bottom of the hole? Record your answer on the grid. Then fill in
the bubbles.
find the right end behavior, x → [infinity] , for each of the following: (a) y = log6(x) : y → incorrect: your answer is incorrect. (b) y = e−3x :
Therefore, The exponential function approaches zero as the input approaches negative infinity, and as x increases towards infinity, the value of e−3x approaches zero.
(a) The right end behavior of y = log6(x) as x approaches infinity is that y approaches negative infinity. This is because as x increases towards infinity, the value of log6(x) becomes larger and larger negative values. Explanation: The logarithm function approaches negative infinity as the input approaches zero, and as x increases towards infinity, the value of log6(x) approaches negative infinity.
(b) The right end behavior of y = e−3x as x approaches infinity is that y approaches 0. This is because as x increases towards infinity, the exponent -3x becomes larger and larger negative values, making the value of e−3x approach zero.
Therefore, The exponential function approaches zero as the input approaches negative infinity, and as x increases towards infinity, the value of e−3x approaches zero.
To know more about function visit :
https://brainly.com/question/11624077
#SPJ11
PLEASE HELP I NEED IT ASAP
what is the exact duplication of elements (shapes, forms, etc.) on either side of a central axis?
The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.
This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.
Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.
The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.
Learn more about crystallography here:- brainly.com/question/27519637
#SPJ11
Can you help me plz? I'll mark brainliest
Answer:
All of the above.
Answer:
the sun
Step-by-step explanation:
The sun produces a huge amount of electromagnetic energy. Much of it is visible to us.
let me know if its right plz
the diameter of a sold spherical ball is 35cm, Find its the surface area and the volume
Answer:52
Step-by-step explanation:
Consider a set of data in which the sample mean is 33. 7 and the sample standard deviation is 7. 2. Calculate the z-score given that x=30. 2. Round your answer to two decimal places
Since, Consider a set of data in which the sample mean is 33. 7 and the sample standard deviation is 7. 2. Calculate the z-score given that
x= 30. 2. Therefore, the Z score is -0.486111.
Z score:
Standard scores are often referred to as z-scores; the two terms are used interchangeably. Other equivalent terms used include z-score, normal score, standardized variable, and high-energy physical attraction.
In statistics, a standard score is the number of standard deviations by which a raw score (i.e. an observation or data point) has a value greater than or less than the observed or measured mean. Raw scores above the mean have positive standard scores, while raw scores below the mean have negative standard scores.
Given that:
Sample mean (μ) = 33.7
Standard deviation (σ) = 7.2
X = 30.2
We know that:
Z score = X -μ/ σ
z-score using the formula z = (x - μ) / σ,
where,
x is your data point,
μ is the mean, and
σ is the standard deviation.
Putting the values in the equation:
⇒ Z score = X -μ/ σ
= 30.2 - 33.7/ 7.2
= -0.486111
Learn more about Mean:
https://brainly.com/question/30112112
#SPJ4
Plss answer me fast im in test
Answer:
Suppose that we have a circle of radius R.
The total perimeter of this circle will be:
P = 2*pi*R
Where pi = 3.14159...
Now, if we have a section of this circle with an angle A, the "chord" of this section will be:
C = (A/360°)*2*pi*R.
Where you can see that if A = 360° (so the section is the whole circle) the chord is equal to the perimeter.
In this particular case, the chord is equal to the radius of the circle, then we get:
C = R = (A/360°)*2*pi*R
We need to solve this for A.
R = (A/360°)*2*pi*R
We can divide both sides by R to get:
1 = (A/360°)*2*pi
Now we need to isolate A.
(360°/2*pi) = A = 57.3°
This would be the angle in the minor arc.
And the angle for the mayor arc would be the difference between the angle for a whole circle (360°) and the angle of this section (57.3°)
The angle for the major arc is:
A = 360° - 57.3° = 302.7°
find the value of each variable
right triangle and trigonometry
special right triangles
make brainlesst
Answer:
y=4.47 and x=√10
Step-by-step explanation:
180°-45°-90°=45°
√10/(sin 45°)=y/(sin 90)
y=4.47
√10/(sin 45°)=x/(sin45)
x=√10
how much interest is earned on $124 at 4% for one year
Answer:
Step-by-step explanation:
Simple interest would be $128.96 and the interest earned would be $4.96, thought I should put both just in case. :)
Write an equation in slope-intercept form of the line that passes through the given points. 0,4 4,2
First, find the slope: m = Δy/Δx = (2-4)/(4-0) = -0.5
The "intercept" in the slope-intercept form of a line is the y-intercept. And at the y-intercept, x = 0. Conveniently, one of our points has an x = 0, i.e., the point (0,4). So, our equation would be y = -0.5x + 4.
If you wanted to double-check, you could use the point (4,2) to find the point-slope equation of the line and see if it matches up with the slope-intercept form above. Given a slope of -0.5 and a point (4,2), our point-slope equation would be y - 2 = -0.5(x - 4). If we expand this, we get y - 2 = -0.5x + 2. Solving for y, we obtain y = -0.5x + 4.
Thus, y = -0.5x + 4 would be our equation.
the car is traveling along the road with a speed of v=(2s) m/s, where s is in meters.
The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.
In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.
We have to determine the tangential and normal components of the acceleration when s = 10 m.
Speed (v) = 2s
Motion is circular so, Radius of circle = 50m
Tangential acceleration = dv/dt
Tangential acceleration = d(2s) / dt
Tangential acceleration = 2(ds)/dt
Tangential acceleration = 2v
Tangential acceleration = 2(2s)
Tangential Acceleration = 4s
As given s = 10 m
Tangential acceleration = 4 x 10
Tangential acceleration = 40 m/s^2
Normal acceleration = v^2/ r
Normal acceleration = 4s^2/r
Normal acceleration = {4 x 10^2}/50
Normal acceleration = {4 x 100}/50
Normal acceleration = 400/50
Normal acceleration = 8 m/s^2
To learn more about Tangential and normal acceleration link is here
brainly.com/question/30029917
#SPJ4
The complete question is:
A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle
HELLPPPPPLSSSS SOMSE
Answer:
Option F
Step-by-step explanation:
F). x + y = 3 -------(1)
x - 3y = -2 --------(2)
Equation (1) minus equation (2)
(x + y) - (x - 3y) = 3 - (-2)
4y = 5
y = 1.25
Hence, y is positive.
G). x + y = 3 --------(1)
x + y = -2 --------(2)
Both the equations represent parallel lines.
There are no solutions of the given equations.
H). x - 3y = -2 -------(1)
x + y = -2 -------(2)
Equation (2) minus equation (1)
(x + y) - (x - 3y) = -2 - (-2)
4y = 0
y = 0
Since, 0 is neither positive nor negative, y will be neither positive nor negative.
J). x + y = 3 -------(1)
x - y = 3 --------(2)
Equation (1) - Equation (2)
(x + y) - (x - y) = 3 - 3
2y = 0
Hence, y is neither negative nor positive.
Therefore, Option F is the answer.
describe how honesty might be measured and defined using an operational definition. check all that apply.
Honesty can be measured by asking people to rate themselves on a scale of 1-10 for honesty, ranking their fellow participants in terms of honesty, conducting a polygraph test to assess physiological responses when presented with specific questions, and conducting interviews to assess how forthright people are in their answers.
An operational definition of honesty can be measured by asking people to rate themselves on a scale of 1-10 for honesty. This would allow participants to self-assess their own level of honesty and provide a baseline for comparison. By observing how often people tell the truth in a given situation, one can measure the level of honesty of a person.
Additionally, a polygraph can be used to measure physiological responses when asking a series of specific questions. This can provide a more accurate measurement of a person’s honesty in comparison to a self-reported scale.
Lastly, conducting interviews with participants can help to assess how forthright people are in their answers. This allows for a more in-depth assessment of honesty by allowing interviewers to observe and assess the sincerity of participants’ answers.
To know more about Honesty:
brainly.com/question/21568324
#SPJ4
a book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it. the number of words in the book is congruent to 184, modulo 203. how many words are on each page?
The words are on each page is 73.
Given:
A book has 136 pages. each page has the same number of words, and each page has no more than 100 words on it.
The number of words in the book is congruent to 184, modulo 203.
136n mod 203 =184,
solve for n
Using CRT + MMI
n =203m + 73, where m =0, 1, 2, 3....
Therefore the words are on each page is 73.
Learn more about the words and pages here:
https://brainly.com/question/625562
#SPJ4
a random digit dialing sample of 2092 adults found that 1318 used the internet. of the users, 1041 said that they expect businesses to have web sites that give product information. in your business economics class at school, your teacher said that 80% of all internet users believe this. what is the appropriate z-value to use in this situation?
The appropriate z-value to use in the situation given in the question is 1.28.
Given,Total number of adults in the sample = 2092
Number of adults using the internet = 1318
Number of internet users who expect businesses to have websites that give product information = 1041
Probability of internet users who expect businesses to have websites that give product information as per the teacher's statement = 80% = 0.8
To find the appropriate z-value to use in this situation, we need to calculate the standard error of proportion, which is given by:
SEp = √[p(1-p)/n]
where p is the proportion of internet users who expect businesses to have websites that give product information and n is the sample size.
Substituting the given values in the formula,
SEp = √[(1041/1318)(1-1041/1318)/1318]SEp = 0.019
z-value is given by:
z = (p - P)/SEp
where P is the proportion of internet users who expect businesses to have websites that give product information as per the teacher's statement.
Substituting the given values in the formula,
z = (0.8 - 1041/1318)/0.019
z = - 1.28
The appropriate z-value to use in this situation is -1.28.
For similar question on z-value
https://brainly.com/question/25638875
#SPJ11
5.) You Uncle is putting in a rectangular shaped pool. The sides of the pool measure 5x and 7x. What is the area oft
pool? (Area= length x width)
Answer:
area =length × breadth
=7x × 5x
=35x
Help me please!!!! this assignment is graded
use this app
https://www.symbolab.com/solver/exponents-calculator
Answer:
1) 12
2) 27
3) 5
4) 28
5) 32
6) 4
7) 11
8) 5
9) 30
10) 1
Step-by-step explanation:
all these answers are the values of the unknown.
For a number of families, it has been investigated how many people the family consists of.. The following results were obtained: 1, 2, 4, 1, 1, 3, 2, 3, 6, 2, 5, 3, 2, 1, 3, 1, 4, 2, 5, 2
a) Determine the average number of children per household.
b) What is the central measure you calculated in the e-task called?
c) Determine values for the other two central measurements that exist.
A) Average number of children per household= Sum of all the number of children/number of households=> 2.35 children per household.B) The central measure calculated in the task is mean or the average number of children per household. C) the median of the data set is 3. The mode is 2.
a) Average number of children per household is calculated by summing up all the number of children per household and dividing it by the number of households.
Here,Sum of all the number of children = 1+2+4+1+1+3+2+3+6+2+5+3+2+1+3+1+4+2+5+2=47
Average number of children per household= Sum of all the number of children/number of households=> 47/20= 2.35 children per household.
b) The central measure calculated in the task is mean or the average number of children per household.
c) There are two other central measurements called the median and mode that exist.Median:
To calculate the median, we need to arrange the given data in the order of increasing magnitude. 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 5, 6.
The median is the middle value in the data set. Since we have an even number of data points, the median is the average of the two middle values.
Therefore, the median of the data set is (3+3)/2= 3.
Mode: The mode is the value that appears most frequently in a data set. Here, the mode is 2 because it appears the most number of times.
Know more about median here,
https://brainly.com/question/11237736
#SPJ11
In an AP statistics class, there are 30 students. 15 have long hair and15 have short hair. 3 students with long hair and 5 students withshort hair have As. What is the probability of choosing a studentwith long hair or an A student?
Here, we want to calculate the probability of choosing a student with long hair or an A student
From the question, the number of students with long hair is 15
The number of students having an A grade is 3 + 5 = 8 students
The probability of choosing a student with long hair is;
\(\frac{no\text{ of students with long hair}}{\text{Total number of students}}\text{ = }\frac{15}{30}\text{ = }\frac{1}{2}\)The probability of choosing an A student is;
\(\frac{no\text{ of students with A}}{\text{Total number of students}}\text{ = }\frac{8}{30}\text{ = }\frac{4}{15}\)Finally, the probability of choosing a studen
this last discussion forum, I'd like for you to reflect on the course as a whole. What did you like? What did you not like? What did we need to spend more time on in class? What could've been relegated to doing outside of classes or skipped entirely?
The course was engaging with practical activities and interactive discussions. More time could have been devoted to advanced data analysis and machine learning algorithms, while basic concepts could have been covered outside of class.
I thoroughly enjoyed this course and found it to be incredibly enriching. The practical hands-on activities were a highlight for me, as they allowed for a deeper understanding of the concepts taught. The interactive discussions and group work fostered a collaborative learning environment that encouraged diverse perspectives.
However, I believe we could have dedicated more time to certain topics that required further exploration. In particular, I felt that additional class time on advanced data analysis techniques and machine learning algorithms would have been beneficial.On the other hand, some of the more basic theoretical concepts could have been assigned as readings or online tutorials, freeing up valuable class time for more in-depth discussions and problem-solving activities.
Overall, I am grateful for the course content and structure, but I believe a fine-tuning of the curriculum to strike a balance between theory and practical application would enhance the learning experience even further.
To learn more about algorithms click here
brainly.com/question/21172316
#SPJ11
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.
ax + bx - c = 0
Answer:
\(4 \sqrt{lyl} \)
Step-by-step explanation:
Absolute value is needed, since y can be a negative number, and even roots of real numbers are not real numbers
A bag has 11 red marbles and 4 yellow marbles. Half of the yellow marbles are made of plastic. A marble is selected at random from the bag. What is the probability that it is a yellow, plastic marble? Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
total marbles=11+4=15
plastic yellow marbles=4/2=2
P=(plastic marbles)/(total marbles)=2/15
Answer:
2/15
Step-by-step explanation:
11+4 = 15 marbles
Half of the yellow marbles are made of plastic = 2 plastic yellow marbles
P(yellow plastic marbles) = number of yellow plastic marbles / total
=2/15
the cost for a bakery to make a dozen muffins is 2.52. the sale price of an individual muffin is 2.99. for one day, the bakery will donate 1/2 of the profits from muffin sales to charity. what is the bakeries donation, in dollars, if 88 muffins are sold that day
Answer:
I'm pretty sure it would be $131.56
Step-by-step explanation:
I think it will be $131.56 because if you take an multiply the 2.99 times 88 the number of muffins that were sold that day, then you would get $263.12. If you donated 1/2 of the profits made, then you would take 263.12 and divide it by 2 because half of it would be divided by 2. So therefore you would get $131.56! Hope this helps!
Correct me if I'm wrong!
You will only be able to answer one question at a time and you will not be able to go back to previous questions. iust also submit your handwritten work as a pdf to the last question. Submissions without a pdf will be given a score of 0. Question 3 What is the boiling point (Celsius) of a soluticn containing 310.3 grams of NiCl
3
in 55 mL of water? Assume the density of water is 0.997 g/mL.
The boiling point of a solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.
To calculate the boiling point of the solution, we need to consider the effect of the solute (NiCl3) on the boiling point of water. The boiling point elevation (∆Tb) can be calculated using the formula:
∆Tb = Kb * m
Where Kb is the molal boiling point elevation constant and m is the molality of the solution. To find the molality, we need to calculate the moles of solute (NiCl3) and the mass of the solvent (water).
Moles of NiCl3 = Mass / Molar mass
Molar mass of NiCl3 = 58.69 g/mol + (35.45 g/mol * 3) = 164.29 g/mol
Moles of NiCl3 = 310.3 g / 164.29 g/mol = 1.886 mol
Mass of water = Volume * Density
Mass of water = 55 mL * 0.997 g/mL = 54.835 g
Molality (m) = Moles of solute / Mass of solvent
Molality (m) = 1.886 mol / 0.054835 kg = 34.380 mol/kg
Now, we can use the molality to calculate the boiling point elevation (∆Tb). The molal boiling point elevation constant (Kb) for water is approximately 0.512 °C/m.
∆Tb = 0.512 °C/m * 34.380 mol/kg = 17.610 °C
Finally, we add the boiling point elevation (∆Tb) to the boiling point of pure water, which is 100 °C.
Boiling point of the solution = 100 °C + 17.610 °C = 117.610 °C
Therefore, the boiling point of the solution containing 310.3 grams of NiCl3 in 55 mL of water is higher than the boiling point of pure water.
For more questions like Molality click the link below:
https://brainly.com/question/30640726
#SPJ11