Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation: • The ball is at the same height as the building between 8 and 10 seconds after it is thrown. TRUE - the height is zero somewhere in that interval, hence the ball is the same height from which it was thrown, the height of the roof of the building.
• The height of the ball decreases and then increases. FALSE - at t=2, the height is greater than at t=0.
• The ball reaches its maximum height about 4 seconds after it is thrown. TRUE - the largest number in the table corresponds to t=4.
• The ball hits the ground between 8 and 10 seconds after it is thrown. FALSE - see statement 1.
• The height of the building is 81.6 meters. FALSE - the maximum height above the building is 81.6 meters. Since the ball continues its travel to a distance 225.6 meters below the roof of the building, the building is at least that high.
What is the initial value of the exponential function shown on the graph
Answer:
The initial value of the exponential function is 2
Step-by-step explanation:
A function is a mathematical relation in which we input the values of a domain that generate the output values of a range.
Initial value of the function is the output value of the function when the input is x =0.
As shown in the graph:
The exponential function cut at the point (0, 2)
where;
y=2 when x=0.
Therefore, the initial value for the exponential as shown in the figure is, 2.
Find the 10th term of the sequence defined by the given rule:f(n)=sqrt n+2
We are given the equation:
f(n)=sqrt n+2
To get the 10th term of the series, we simply have to substitute the value of 10 into the equation, n = 10. So that:
f (10) = sqrt (10 + 2)
f (10) = sqrt (12)
f (10) = 3.46
You have set up a webpage for your company. your logo took up 2/7 of your allotted space on the main page and the location information takes up 1/10 of the allotted space on a page. how much more space did the logo use than the location information? please express your answer as a fraction and percent.
If the area of a circle is 16pi what is the circumference of the circle, circle b, if its radius is 1/2 that of the circle a
I need help! THIS IS NOT MULTIPLE CHOICE!!!! The time needed to roast a chicken depends on its weight. Allow at least 20 min/lb for a chicken weighing as much as 6 lb. Allow at least 15 min/lb for a chicken weighing more than 6 lb. a. Write two inequalities to represent the time needed to roast a chicken. b. Graph the inequalities.
The equation y= 3x relates the number of points resulting from three-point baskets.
What is the constant of proportionality in this equation?
A.1
B.3
C.x
D.y
Answer:
3
Step-by-step explanation:
Which of the following is a feature of debit card?
A. Interest charge
B. Paying off purchases over time
C. More flexibility
D. Requires a linked bank account
Option D - Requires a linked bank account
Step-by-step explanation:
A debit card is an ATM card that is linked with the bank account of the same bank of which the card is issued from.
This works on debit mode like when it is swapped, immediate cash is deducted from your account. If your account is empty, it cannot be used.
Hence, the feature of the debit card out of all the options is option D - Requires a linked bank account.
Carys is checking her tax bill for the last year.
The tax rates were as follows:
No tax of the first £11 000 of earnings.
Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%.
Earnings in excess of £43 000 and up to £150 000 taxed at a rate of 40%.
Earnings over £150 000 taxed at a rate of 45%.
Last year Carys earned £45 600 before tax.
How much tax did she pay in total?
Show your working.
I am having a lot of trouble finding the answer to this. I looked it up on this website hoping I could find how to solve it but unfortunately that didn't happen. Can anyone help ?!!! Anxious to know!!!!!
Answer:
£7,440
Step-by-step explanation:
We have been given the tax rates as follows:
$0-$11,000 = No tax.
$11,000-$43,000 = 20%.
$43,000-$150,000 = 40%.
Earnings over $150,000 = 45%.
Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%
Therefore, Carys paid an amount of $7,440 in tax.
Carys paid no tax on the first £11,000 of her income. She paid £6,400 in tax on her earnings between £11,000 and £43,000, and £1,040 on her earnings between £43,000 and £45,600. The total tax paid was £7,440.
Explanation:To calculate how much tax Carys paid on her earnings of £45,600, we need to apply the given tax rates to the appropriate segments of her income. Here is the step-by-step working:
She pays no tax on the first £11,000.Earnings between £11,000 and £43,000 are taxed at 20%. To find the tax for this bracket, we subtract £11,000 from £43,000 to get the taxable amount, which is ¤32,000. Then we calculate 20% of ¤32,000, which amounts to £6,400.Earnings above £43,000 up to £150,000 are taxed at 40%. Carys earned ¤2,600 in this bracket (because £45,600 - £43,000 = ¤2,600). The tax on this amount is 40% of ¤2,600, which is £1,040.Since Carys did not earn over £150,000, she does not pay any tax at the 45% rate.We now add the tax from the second and third bullet points to get the total tax that Carys pays: £6,400 + £1,040 = £7,440.
Therefore, Carys paid a total of £7,440 in tax for the last year.
Learn more about Tax Calculation here:https://brainly.com/question/34140086
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Power Glen Elementary School has a plant sale to raise money for a local charity. Each plant costs 3$. It is sold for $10 a) What would be the output if the sold these many plants 10,20,30,40,50 b)How many plants have to be sold to collect $500 c) How many plants have to be sold to be able to give the charity $500?
Which table represents a linear function?
To rent a certain meeting room, a college charges a reservation fee of $37 and an additional fee of $6.70 per hour. the chemistry club wants to spend less than $90.60 on renting the meeting room. what are the possible amounts of time for which they could rent the meeting room? use t for the number of hours the meeting room is rented, and solve your inequality for t .
Rajesh wakes up at 7:00 a.m. and takes a walk for half an hour. He then spends 30 minutes bathing and eating breakfast. After watching the morning news on TV for a while, Rajesh leaves for school at 9:30 a.m. How many hours does Rajesh spend watching the news? 1 and 1/2 hours 2 hours 2 hours and 30 minutes 120 minutes 130 minutes
Julio's father is 4 times as old as Julio. The sum of their ages is no less than 55.
What is the youngest age Julio can be?
Enter your answer in the box.
years
Mr frost typed for 12 minutes at a constant rate of 50 words per minute. Mrs. grey typed the same number of words at a constant rate of60 words per minute how many minutes did it take Mrs. Grey to type the same amount as mr frost?
The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation mc026-1.jpg. Which statement best describes the relation (c, f)? It is a function because –40°C is paired with –40°F. It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. It is not a function because 0°C is not paired with 0°F. It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.
Answer:
B is true.
Step-by-step explanation:
given that the temperature in degrees Celsius C can be converted to degrees Fahrenheit F
For every Celsius temperature we get only one value of Fahrenheit .
Function: function is a mapping between two sets .Each member of set is mapped with one value of set B.
Given function is one-one because for every value of Celsius we get a unique value of Fahrenheit
Hence, it is a function because every Celsius temperature is associated with only one Fahrenheit temperature.
Therefore, option B is true.
A local reader's club has a set of 12 hardback books, a set of 18 paperbacks, and a set of 36 magazines. each set can be divided equally among the club members. what is the greatest possible number of club members?
The greatest possible number of club members is the greatest common factor of 12, 18, 36 since all of these quantities of books have to be distributed evenly:
The factors of 12 are 1, 2, 3, 4, 6, 12
The factors of 18 are 1, 2, 3, 6, 9, 18
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.
The greatest common factor for this three numbers is 6.
As a result, the greatest possible number of club members is 6.
Use the trapezoid rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.
A culture of 1.75×1018 bacteria is in petri dish A. A culture of 6.25×1015 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B? Enter your answer, in standard notation, in the box.
How can you find a unit rate when given a rate?
1. What is the difference between –4 and 6?
1) –10
2) –2
3) 2
4) 10
2. What is the first step in solving the equation 4.2y -5.2=18.5
1. Add 5.2 to each side of the equation.
2. Subtract 5.2 from each side of the equation.
3. Multiply each side of the equation by 4.2.
4. Divide each side of the equation by 5.2.
In a bag there are 13 red marbles, 5 blue marbles, and 7 green marbles. what percent of the marbles are green?
Six times the sum of a number and 9 equals 8
Write in equation
Write a conditional statement. Write the converse, inverse and contrapositve for your statement and determine the truth value of each. If a statement’s truth value is false, give a counterexample.
A building that is 15 meters tall casts a shadow that is 6 meters long. at the same time, a tree casts a shadow that is 9 meters long. how tall is the tree
Final answer:
To determine the height of the tree, we use proportions based on the shadow lengths. Since the building is 15 meters tall with a 6-meter shadow and the tree's shadow is 9 meters, the height of the tree is found to be 22.5 meters.
Explanation:
You're asking how to find the height of a tree based on its shadow's length using similar triangles. The building is 15 meters tall and casts a 6-meter-long shadow. We can set up a proportion since the tree and the building have the same sun angle, thus their heights and shadows are in proportion. We will compare the building's height to its shadow, and then set this ratio equal to the tree's height to its shadow.
Using the formula for proportions:
Building height / Building shadow = Tree height / Tree shadow
Which translates to:
15 meters / 6 meters = Tree height / 9 meters
Now we solve for the Tree height:
Tree height = (15 meters / 6 meters) * 9 meters = 22.5 meters
The height of the tree is 22.5 meters.
JL is a diameter of circle K. If tangents to circle K are constructed through points L and J, what relationship would exist between the two tangents? Explain. ( I am falling behind on my online classes because this question is holding me back... I cannot compute anymore.... uuuurrghh)
create a real world problem that represents 5/6 + 1/8.
Answer:
me and my friend are buying some pie im pay for it so i get 5/6 and he gets 1/8 how much pie did we buy
1/8 =6/48
5/6= 40/48
so the answer is 46/48 or 23/24
Step-by-step explanation:
A rectangle is 3 units wide and 4 units long. How long is its diagonal
Carrie works in a clothing store. Every day before her shift ends, she folds the clothes that customers have tried on and puts them back on the racks. Today, she needs to fold 180 T-shirts and place them evenly on 9 racks. How many T-shirts does she place on each rack?
a. 15
b. 35
c. 44
d. 20
Answer: correct answer is D
180 shirts÷ by 9 racks=20
Find the equation of the line l where l is perpendicular to y=2/5x and passes through the points (5,2)
Compute the exact value of the function for the given x-value without using a calculator. You must show your work for full credit. f(x) = 5x for x = 2