Jada dropped her sunglasses from a bridge over a river. Which equation could represent the distance y fallen in feet as a function of time, 1, in seconds?A. y = 16t^2 B. y = 481 C. y = 180 - 16t^2 D. y = 180 - 48t
Answers
The equation that could represent the distance y fallen in feet as a function of time is:
y = 16t². Hence, the correct option is A. y = 16t².
The distance an object falls is calculated using the equation:
y = 1/2gt²
Where:
g = acceleration due to gravity = 32.2 ft/s² (if the measurement is in feet and seconds)In this case,
since Jada dropped her sunglasses,
y represents the distance that the sunglasses fell, and
t represents the time in seconds.
Therefore, the correct equation is:
y = 1/2gt² = 1/2 × 32.2 × t² = 16.1t² ≈ 16t².
Hence, the correct option is A. y = 16t².
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Related Questions
Can someone PLEASE HELP ME WITH THIS QUESTION I REALLY NEED HELP
Answers
Integer includes all negative and positive whole numbers including zeros
18) Solve for side AC.
A) 1.10
B) 8.24
C) 9.50
70
C
3
B
Answers
Step-by-step explanation:
tan0=opp/adj
where opposite =3,adjacent =x,=70
tan 70=3/x
2.7474=3/x
2.7474x=3
divide both sides by 2.7474
x=3/2.7474
x=1.0919
x=1.10 to 1 d.p
Right triangle with a hypotenuse of 159 ft and Angle A = 34 degree
Calculate the length of the sides they should be rounded to the nearest whole foot. The rounded for the legs (side) should be used to calculate the area of the triangle
Answers
the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
Given: The hypotenuse of the right triangle,
c = 159 ft; angle A = 34°
We know that, in a right-angled triangle:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$\)
We know the value of the hypotenuse and angle A. Using trigonometric ratios, we can find the length of sides in the right triangle.We will use the following formulas:
\($$\sin\theta=\frac{\text{opposite}}\)
\({\text{hypotenuse}}$$$$\cos\theta=\frac{\text{adjacent}}\)
\({\text{hypotenuse}}$$$$\tan\theta=\frac{\text{opposite}}\)
\({\text{adjacent}}$$\) Length of side a is:
\($$\begin{aligned} \sin A &=\frac{a}{c}\\ a &=c \sin A\\ &= 159\sin 34°\\ &= 91.4 \text{ ft} \end{aligned}$$Length of side b is:$$\begin{aligned} \cos A &=\frac{b}{c}\\ b &=c \cos A\\ &= 159\cos 34°\\ &= 131.5 \text{ ft} \end{aligned}$$\)
Now, we have the values of all sides of the right triangle. We can calculate the area of the triangle by using the formula for the area of a right triangle:
\($$\text{Area} = \frac{1}{2}ab$$\)
Putting the values of a and b:
\($$\begin{aligned} \text{Area} &=\frac{1}{2}ab\\ &=\frac{1}{2}(91.4)(131.5)\\ &= 6006.55 \approx 6007 \text{ sq ft}\end{aligned}$$\)
Therefore, the length of side a is 91 ft (rounded to the nearest whole foot) and the length of side b is 132 ft (rounded to the nearest whole foot). The area of the triangle is approximately 6007 sq ft.
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Determine the value of A, the NET salary received by Mr Makatle for
1.3 Show how the UIF contribution of R82.36 was calculated.
1.4 Mr Makatle claims that the cumulative medical and contributions indicate on teza
advice is incorrect. Verily using calculations, whether is claim is valid
5 Calculate his monthly tax contribution as a percentage of his gross szias-
UESTION 2
Danielle is a 48-year-old female who works for MK Designs. She eares a trasie by
FR45 600,50 and an annual bonus equal to her basic monthly salary. Her sa
come for the 2018/2019 tax year is made up of her basic monthly salary on
Ons
Answers
Answer:
hfgf td utdu6kjyyyudytdcyu6 vfhdutd,ld
Step-by-step explanation:
1. The value of A, the Net Salary received by Mr. Makatle is R 5,369.49 (R8,236,00 - R 2 866,51), which is the gross pay minus total deductions.
2. The UIF contribution of R82.36 was calculated as 1% of R8236,00 (R 8,236 x 1%).
3. Mr. Makatle's claims that the cumulative medical contributions indicated on his pay advice are incorrect are valid.
The cumulative medical contributions for the year are supposed to total R 17,640 (R 1 764,00 x 10) instead of R 6,177.00, which represents the pension's cumulative contributions.
4. Mr. Makatle's monthly tax contribution as a percentage of his gross salary is 4.8865%.
Tax contribution = R 402.45
Gross monthly salary = R 8 236
Percentage of tax contribution to gross salary = 4.8865% (R402.45/R8,236 x 100)
5. For question 2, we can use the rates computed from Mr. Makate's salary advice to calculate Danielle's net pay for the year.
Danielle's Net Pay:Basic Salary FR 45 600,50
PAYE R 2,228.27 (4.8865%)
UIF R 456.01 (1%)
Pension Fund R 3 420. 04 (7.5%)
Medical Aid contribution R 9,766.72 (21.418%)
TOTAL DEDUCTIONS R 15,871.04
NET SALARY R 29,729.46
What is net pay?The net pay is the difference between a salary earner's gross income and the deductions made before the payment of salary.
The net pay represents the amount that the salary earner goes home with.
The net pay is also known as the take-home pay.
Question Completion:Mr. Paul Makatle is an employee at a clothing factory The following deductions are made from his gross monthly salary:
• 7,5% of his gross monthly salary for pension fund contributions
• UIF (Unemployment Insurance Fund) of 1% of his gross monthly salary
• PAYE (Pay as you earn) tax as per tax bracket
Use the salary advice below that Mr. Makatle receives for December 2020 to answer the questions that follow.
Basic Salary R 8 236,00
PAYE R 402.45 (4.8865%)
UIF R 82,36 (1%)
Pension Fund R 617,70 (7.5%)
Medical Aid contribution R 1 764,00 (21.418%)
TOTAL DEDUCTIONS R 2 866,51
NET SALARY R 5 369,49
GROSS SALARY IRP5 PARTICULARS-cumulative year to date:
R 82360,00
Total Employee's Tax R 6177.00
Medical Aid contr R 6,177.00
Question 1 Requirements:1. Determine the value of A, the NET salary received by Mr. Makatle
2. Show how the UIF contribution of R82.36 was calculated.
3. Mr. Makatle claims that the cumulative medical contributions indicated on his pay advice are incorrect. Verify, using calculations, whether his claim is valid
4. Calculate his monthly tax contribution as a percentage of his gross salary.
5. Calculate Danielle's net pay for the year, using Makatle's pay advice.
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Review the graph.
On a coordinate plane, a circle has center (4, 0) and radius 4. Another circle has center (2, negative 3) and radius 6. The area inside of the first circle and outside of the second circle between the 2 circles is shaded.
Which system of inequalities is shown in the graph?
36 > (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 > (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
36 < (x + 3)2 + (y – 2)2 and 16 > (x – 4)2 + y2
36 < (x – 2)2 + (y + 3)2 and 16 > (x – 4)2 + y2
Answers
Answer:
36 < (x - 2)² + (y + 3)² and 16 > (x - 4)² + y²
Step-by-step explanation:
This is because the shaded area is inside the first circle (centered at (4, 0) with a radius of 4) but outside the second circle (centered at (2, -3) with a radius of 6). The inequalities reflect these conditions by setting the inequality signs accordingly. The inequality with "<" for the first circle ensures that the shaded area is within the circle, and the inequality with ">" for the second circle ensures that the shaded area is outside the circle.
Hello going to fail and not make it to highschool if I don’t pass this test!! Please help
Answers
Answer:
Step-by-step explanation:
(0, -1) (3,3)
(3 + 1)/(3 - 0) = 4/3
y + 1 = 4/3(x - 0)
y + 1 = 4/3x - 0
y = 4/3x - 1
answer is A
The cost of a newspaper subscription
includes a discounted initial week. Beatriz
pays $55 for 7 weeks of the newspaper
subscription and $100 for 12 weeks.
Answers
As a result, the original discounted price is $1 while the weekly normal price is $9.
How does arithmetic work with discounts?The fundamental formula for calculating a reduction is to increase the initial price by the provided percentage rate in decimal form. We must deduct the reduction from the initial price to determine the item's sale price.
From the given information, we have:
d + 6x = 55 (discounted price for 7 weeks)
d + 11x = 100 (discounted price for 12 weeks)
We can solve this system of equations by eliminating d. Subtracting the first equation from the second, we get:
5x = 45
Dividing both sides by 5, we get:
x = 9
Substituting x = 9 into one of the equations, we can solve for d. Using the first equation, we get:
d + 6(9) = 55
d + 54 = 55
d = 1
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solve for x: x²/x-3=x+2/2x-5
Answers
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
it is 4/10 of a mile to john's house from frank's house. How much less than a mile is the distance from frank's house to john's house and then back to frank's house
Answers
The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.
How do you figure out the overall distance?While travelling from one location to another and back again just multiplying the distance between the two places will give you the total distance travelled when travelling from one spot to another and returning to the beginning position.
The distance from frank's house to john's house = 4/10.
The distance back to Frank's house = 4/10.
Total distance = 4/10 + 4/10
Total distance = 8/10
The distance is thus,
1 - 8/10
Take the LCM:
(10 - 8) / 10
2/10 = 1/5
Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.
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HELP PLEASE M BEGGNG
Answers
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
The five bars of the box plot correspond (from left-to-right) to the numbers in the five-number summary.
The first bar represents the minimum, which in this case is 1.
The second bar represents the first quartile (Q1), which in this case is 2.
The third bar represents the median, which in this case is 7.
The fourth bar represents the third quartile (Q3), which in this case is 9.
And the fifth bar represents the maximum, which in this case is 11.5.
Answer:
Min: 1
Q1: 2
Median: 7
Q3: 9
Max: 11.5
Step-by-step explanation:
I hope it helps:)
Nicole is making a cake that uses 3/4 cup of flour and 1 and 1/8 teaspoons if nicole uses 1 cup of flour how much salt would she need
Answers
Answer:
1.5 teaspoons
Step-by-step explanation:
1/(3/4)
=4/3
9/8*4/3
=1.5 teaspoons
PLS GIVE BRAINLIEST
find the product 278.11x25=
Answers
Answer:
6952.75
Step-by-step explanation:
278.11 x 25 =
6952.75
Hope that helps!
Answer:
278.11 x 25 = 6,952.75
Step-by-step explanation:
Multiply
3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Answers
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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BRAINLIEST TO THE FIRST CORRECT ANSWER!!The expression on the left side of an equation is shown below.
Negative 4 (x minus 2) + 5 x = box
If the equation has no solution, which expression can be written in the box on the other side of the equation?
2(x + 4) – x
x + 8
4(x + 2) – 5x
x
Answers
you just have to simplify -4(x-2)+5 which gives you x+8
Answer:
The correct answer is B. x + 8
(10 points) Suppose you are rolling a fair die 600 times independently. Let X count the number of sixes that appear. (a) What type of random variable is X
Answers
Answer:
let me think
Step-by-step explanation:
i want free points
A certain truck traveled 7,605 miles in 15 days. What is the average number of miles traveled per day?
Answers
If the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
What is average?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
It is given that, a certain truck traveled 7,605 miles in 15 days.
The average number of miles traveled per day is obtained by dividing the total distance traveled by the total time taken as,
Suppose the average number of miles traveled per day is x,
x=76015 / 15
x=507 miles per day.
Thus, if the certain truck traveled 7,605 miles in 15 days. The average number of miles traveled per day will be 507.
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Solve the equation. -5(-4+2n)=-10(n-2)
Answers
Answer:
0 = 0 means that there are infinite solutions.
Step-by-step explanation:
Equation is -5(-4+2n)=-10(n-2)
1. Distribute the -5 and -10
20 -10n = -10n + 20
2. Subtract 20 from one side to the other to get only 1 variable on 1 side.
-10n = -10n
3. divide -10 to separate the variable from the constant.
n = n
This means there are infinite solutions.
In a study of the gasoline mileage of model year 2017 automobiles, the mean miles per gallon was 27.5 and the median was 26.8. The smallest value in the study was 12.70 miles per gallon, and the largest was 50.20. The first and third quartiles were 17.95 and 35.45 miles per gallon, respectively. Determine the type of skewness.
Answers
Answer:
This is skewed torwards the right. Or in other words positively skewed distribution.
Step-by-step explanation:
All of the values are fairly close together torwards the lower range. While 50.20 is more of an outlier, so this graph would gradualy skew to the right.
Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. In 1996, the average LOS for non-heart patients was 4.6 days. A random sample of 20 hospitals in one state had a mean LOS for non-heart patients in 2000 of 3.8 days and a standard deviation of 1.2 days. How large a sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean? Select one: a. 48 b. 7 c. 3 d. 32 e. 96
Answers
The sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean is A. 48
How to calculate the sampleWe want to find the sample size (n) that would give us a confidence interval of 0.5 days, so we can rearrange the formula to solve for n:
n = (z*σ/CI)^2
Plugging in the given values:
z = 2.576 (for 99% confidence level)
σ = 1.2 days
CI = 0.5 days
n = (2.576 × 1.2/0.5)²
n ≈ 48
Therefore, the correct option is A.
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Solve for the following proportion for v.
Answers
Answer:
20/ 11 and if u want it in decimal it's 1.818182
Answer:
v =5÷11×4
v=20÷11=
Step-by-step explanation:
1.82 is your answer may be it is wrong
Find the sum 78/100+1/10
Answers
Answer:
90/100=9/10=90% = 0.9
Step-by-step explanation:
78/100+1/10 = 79/100+ 11/100 = 90/100 = 9/10 = 90% = 0.9
Robert pays $32.04 for 6 student tickets to the basketball game. What is the cost of each student ticket?
Answers
Answer:
$5.34
Step-by-step explanation:
Step-by-step explanation:
$5.34
hope it helps!
......
which weight is greater than 5,000 lbs.
Answers
Answer:
6000 lbs is greater then 5000!
Step-by-step explanation:
About 20 raindrops will make one milliliter. How many raindrops would you need to fill a 3.5 liter bottle?
Answers
Answer:
Step-by-step explanation:
70
while grading her students' most recent quiz on equation solving, mrs. jones calculated that approximately forty percent of her students answered question number 14 with multiple choice option b, while the other sixty percent answered a or c. question #14 from Mrs. Jones's students' most recent quiz:
14) Solve the single variable equation for n.
a.n=3
b.no solution
c.infinitely many solutions
Use complete sentences to compare the similarities and differences of each of the multiple choice answer options A-C. In your answer, rationalize why a student would choose each of the options as the correct answer
Answers
If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution.
The option (a) is n=3.
If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.
The option (b) is "no solution".
While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.
The option (c) is "infinitely many solutions".
While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.
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A restaurant ,bill comes to $85.if you decide to leave a 15/100 tip.how much total will pay after including the tip
Answers
Answer:
15/100 = 15%
85 × 15% = 12.75 (Tip being Payed)
12.75 + 85 = $97.75
$97.75 will be payed as the total bill including the tip.
$12.75 was just the amount getting tipped.
Step-by-step explanation:
This is what I believe is correct
A linear function contains the following points x 0 2 y -4 5
What are the slop and y intercepts of this function
Answers
The features of the linear function in this problem are given as follows:
Slope: 4.5.y-intercept: y = -4.How to obtain the slope and the intercept for the linear function?The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.
Hence, if we are given two points in a linear function, the slope is calculated as the division of the change in y by the change in x.
The two points for the function in this problem are given as follows:
(0, -4) and (2,5).
Hence the slope of the function is calculated as follows:
m = (5 - (-4))/(2 - 0) = 9/2 = 4.5.
The intercept of a linear function is given by the value of y when the graph of the function crosses or touches the y-axis, that is, the value of y when x = 0. One point for this problem is (0,-4), hence the intercept is given by y = -4.
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Write a number in the blank to make the statement true.
Each child is riding on a pony with a saddle
Each saddle has exactly two saddle bags on it.
Each saddle bag has exactly three water bottles in it.
Twenty-two riders altogether are in the group.
________ = total number of water bottles
Answers
The total number of water bottles is 132 .
In the question ,
it is given that
there are 22 riders ,
each rider has 2 saddle bags on the pony ,
and each saddle bag has 3 water bottles in it ,
So According to the question
total number of water bottles = ( number of rider ) * ( number of saddle bag on each pony ) * ( number of water bottles in each saddle bag )
Substituting the values from above , we get ,
= 22*2*3
On simplifying we get ,
= 44*3
= 132 .
Therefore , the total number of water bottles is 132.
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In △ABC, AB=5, BC=4, and AC=3. The triangle is translated left 2 units and up 6 units to △A′B′C′. What is the length of segment A′C′?
A′C′=6
cap A prime cap c prime is equal to 6
A′C′=3
cap A prime cap c prime is equal to 3
A′C′=4
cap A prime cap c prime is equal to 4
A′C′=2
Answers
Answer:
3
Step-by-step explanation:
The entire triangle shifts 2 to the left and up 6, the lengths of the sides remain the same, therefore:
AC = A'C' = 3
The following are the scores of an algebra class of 20 students in a high school:
69 84 52 93 81 74 89 85 88 63 87 64 67 72 74 55 82 91 68 77
Find the interquartile range using R.
Answers
The interquartile range of the given data using R is 13.3
As per the given data,
The midterm scores of an algebra class of 20 students;
69, 84, 52, 93, 81, 74, 89, 85, 88, 63, 87, 64, 67, 72, 74, 55, 82, 91, 68, 77
We have to find the interquartile range using R.
Interquartile Range;-
The interquartile range includes the second and third quartiles or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.
Interquartile range = \(Q_{3} -Q_{1}\)
\(Q_{1}\) is the lower quarter
\(Q_{3}\) is the upper quarter
\(Q_{2}\) is the median
Here,
\(Q_{2}\) = 63 + \($\frac{87}{2}\)
\(Q_{2}\) = \($\frac{150}{2}\)
\(Q_{2}\) = 75
\(Q_{1}\) = 81 + \($\frac{74}{2}\)
\(Q_{1}\) = 77.5
\(Q_{3}\) = 74 + \($\frac{55}{2}\)
\(Q_{3}\) = 64.5
Then,
Interquartile range = \(Q_{3} -Q_{1}\) = - (64 . 5 - 77.5) = 13.3
That is,
The interquartile range for the given data set is 13.3.
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