Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. When the frisbee is thrown, it follows a parabolic path that is modeled by the function h(t) = â€" 0. 145t2 0. 019t 5. 5. How many seconds will it take for the frisbee to hit the ground?
If Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. The number of seconds it will take for the frisbee to hit the ground is: 6.2 seconds.
Number of secondsGiven:
0.145t² + 0.019t + 5.5 = 0
Using almighty formula or quadratic formula
t=-b±√b²-4ac/2a
Where:
b²=19²
a=145
c=5500
Let plug in the formula
t=-19±√19²- 4(-145) (5500)/2(-145)
t=-19±√361+(3,190,000)/-290
t=-19±√3,190,361/-290
t=-19±1,786.158/-290
Hence,
-19-1,786.158/-290; -19+1,786.158/-290
t=6.2; 6.09
Therefore If Kira is a lovable dog who is full of energy. Her owner thought it would be fun to train her by throwing a frisbee for her to catch. The number of seconds it will take for the frisbee to hit the ground is: 6.2 seconds.
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117. State whether the answer is greater than i or less than
Answer:
1) greater than
2) less than
3) greater than
4)less than
5) greater than
6) greater than
Step-by-step explanation:
what are the increasing intervals and decreasing intervals
if u could tell me why that would be great
Answer:The value of the interval is said to be increasing for every x < y where f (x) ≤ f (y) for a real-valued function f (x). If the value of the interval is f (x) ≥ f (y) for every x < y, then the interval is said to be decreasing.
Step-by-step explanation:
-1 < 9 + n < 17Solve and graph solution?
We have the inequality:
\(-1<9+n<17\)Now, in order to solve, we will do as follows:
n will take all the values from -9 to 7, any number smaller than -9 will make it false and any number greater than 7 will make it false.
Now, in order to graph the solution, we will have:
Determine the coordinates of the point on the unit circle corresponding to the given central angle. if necessary, round your results to the nearest hundredth. 21 degrees a. (0.36, 0.93) c. (0.93, 0.36) b. (0.93, 0) d. (1, 0.36)
The coordinates of the point on the unit circle corresponding to a central angle of 21 degrees are (0.93, 0.36), which is answer choice c.
The point on the unit circle corresponding to a central angle of 21 degrees can be found using the trigonometric functions sine and cosine.
In this case, the x-coordinate is equal to the cosine of the angle and the y-coordinate is equal to the sine of the angle.
Converting degrees to radians, we have:
x = cos(21) = 0.93
y = sin(21) = 0.36
A unit circle in mathematics is a circle with a radius of one, or one unit. The unit circle is frequently the circle with radius 1 that is located at the origin (0, 0) in the Cartesian coordinate system on the Euclidean plane, notably in trigonometry.
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Do you prefer calculating in scientific notation or standard notation? Why?
Make sure you explain your reasoning for full credit.
Answer:
This is about your opinion, not mine, but here's my opinion.
Don't copy and paste because anything can be found with good filters.
Essentially, just paraphrase or something.
Step-by-step explanation:
I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.
Complete this statement:
10x^3a+6xa^2=2xa( )
Answer:
2xa(5x^2 + 3a).
Step-by-step explanation:
We are factorising:-
Divide the left side by 2xa and place the result in the parentheses:
10x^3a+6xa^2 = 2xa(5x^2 + 3a )
Answer:
2xa(5x² +3a-1)
Step-by-step explanation:
10x³a+ 6xa²-2xa=2xa-2xa
10x³a+ 6xa²-2xa=0
Factor 10x³a+ 6xa²-2xa:
2ax(5x² + 3a -1)
Is y=4/x-3 linear or non-liner
if researchers measure every member of a population, they have a. collected a sample. b. increased internal validity. c. conducted a census. d. biased the study.
If researchers measure every member of a population, they have conducted a census. Correct option is C.
A census is a method of data collection that involves measuring or collecting information on every member of a population of interest.
Conducting a census can provide highly accurate and representative data for the entire population, as it eliminates the potential for sampling error or bias. This means that a census can greatly increase the external validity of a study, as the findings can be generalized to the entire population.
However, conducting a census can be time-consuming, resource-intensive, and impractical for certain populations or research questions. In some cases, a sample may be more feasible or appropriate for achieving the research objectives.
Therefore, while conducting a census can provide a high level of internal validity and eliminate potential sampling bias, it is not always the most practical or feasible method of data collection, and researchers must carefully consider the trade-offs between census and sampling methods depending on the specific research question and population of interest.
Therefore, correct option is C.
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The new iPhone 12 Pro has a length of 5.2 inches and a width of 2.8 inches.
The iPhone 12 Pro Max is slightly larger and has a length of 6.24 inches.
The length and width of the cell phones are proportional.
What is the width, in inches, of the iPhone 12 Pro Max?
ASAP
Answer:
all you gotta is multiply length times width times height to find the area my guy. its a good strategy my 6th math teacher taught me.
Step-by-step explanation:
lmk if this helped. make sure to rate.
Answer:
nswer:
all you gotta is multiply length times width times height to find the area my guy. its a good strategy my 6th math teacher taught me.
Step-by-step explanation:
lmk if this helped. make sure to rate.
Step-by-step explanation:
Please help I don’t know what to
Answer:
80% of 10 is 8 lol
Step-by-step explanation:
lol this was easy
-3w-3x-7w+4x-2w
please answer this
Answer:
Solution
−12+
I know it LOL
Using the midpoint method, what is the price elasticity of supply between point B and point C? a. 1.44 b. 1.29 c. 0.96 d. 0.78
Answer:
The price elasticity of demand, when using the midpoint formula, would be B.1.29.
How to find the price elasticity of demand ?
Price elasticity of demand = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))
where:
Q1 = initial quantity demanded = 20 units
Q2 = final quantity demanded = 15 units
P1 = initial price = $8
P2 = final price = $10
Substituting the values:
Price elasticity of demand = ((15 - 20) / ((15 + 20) / 2)) / (($10 - $8) / (($10 + $8) / 2))
= (-5 / 17.5) / (2 / 9)
= (-0.2857) / (0.2222)
= -1.2857
= 1. 29
determine the general solution of the given differential equation. 1. "-"-y + y = 2e +3 2. y - y = 3t+cost 3. +y"+y+y=e¹ +4t 4. y) - 4y = 1² + e'
The homogeneous solution is y_h = e^(-t/2)(A cos((√3/2)t) + B sin((√3/2)t)), where A and B are constants.
To determine the general solution of the given differential equations, let's solve each equation separately:
The differential equation is "-y + y = 2e + 3".
We can rewrite this equation as follows:
y' - y = 2e + 3.
This is a first-order linear homogeneous differential equation. The integrating factor is given by e^(∫-1 dx) = e^(-x) = 1/e^x.
Multiplying both sides of the equation by the integrating factor, we have:
1/e^x * y' - 1/e^x * y = 2e/e^x + 3/e^x.
The left-hand side can be simplified using the product rule:
(d/dx)(1/e^x * y) = 2e/e^x + 3/e^x.
Integrating both sides with respect to x, we get:
1/e^x * y = -2e/e^x - 3e/e^x + C,
where C is the constant of integration.
Multiplying both sides by e^x, we obtain:
y = -2e - 3e + Ce^x.
Therefore, the general solution is y = Ce^x - 5e.
The differential equation is "y - y = 3t + cos(t)".
This is a first-order linear non-homogeneous differential equation.
The homogeneous solution is y_h = Ae^t, where A is the constant of integration.
To find a particular solution, we can use the method of undetermined coefficients. Since the right-hand side contains both a linear term (3t) and a trigonometric term (cos(t)), we assume a particular solution of the form y_p = Bt + C cos(t) + D sin(t).
Substituting this particular solution into the differential equation, we get:
(Bt + C cos(t) + D sin(t)) - (Bt + C cos(t) + D sin(t)) = 3t + cos(t).
The terms with t and the cosine and sine functions should match on both sides of the equation. Equating the coefficients, we have:
B - B = 3, C - C = 1, D - D = 0.
From these equations, we find B = 3, C = 1, and D can be any constant.
Therefore, the particular solution is y_p = 3t + cos(t) + D sin(t), where D is a constant.
The general solution is the sum of the homogeneous and particular solutions:
y = y_h + y_p = Ae^t + 3t + cos(t) + D sin(t).
The differential equation is "+ y" + y + y = e + 4t".
This is a second-order linear non-homogeneous differential equation.
The homogeneous solution is found by assuming y_h = e^rt, where r is a constant.
Substituting this into the differential equation, we get the characteristic equation:
r^2 + r + 1 = 0.
Solving this quadratic equation, we find the roots r = (-1 ± √3i)/2.
Therefore, the homogeneous solution is y_h = e^(-t/2)(A cos((√3/2)t) + B sin((√3/2)t)), where A and B are constants.
To find a particular solution, we can again use the method of undetermined coefficients. Since the right-hand side contains both an exponential term (e^t) and a linear term (4t), we assume a particular solution of the form y_p = Ct + D e^t.
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Ten gallons of a sugar solution were mixed with 7 gallons of a 76 percent sugar solution to make a 64 percent sugar solution. Find the percent concentration of the first solution.
answers-
a. 51%
b. 60%
c. 48%
d. 56%
7 gallons of 76% solution contain 0.76×(7 gal) = 5.32 gal of sugar
10 gal of c% solution (c for concentration) contain c/100×(10 gal) = c/10 gal of sugar
(for example, if you have 10 gal of 50% solution, then it contains 50/10 = 5 gal of sugar)
Mixing the two gives a new solution with a total volume of 17 gal. If its concentration ends up at 64%, then it must contain 0.64×(17 gal) = 10.88 gal of sugar. This means
(sugar in 76% solution) + (sugar in c% solution) = 10.88 gal
5.32 gal + c/10 gal = 10.88 gal
c/10 gal = 5.56 gal
c = 50.56 ≈ 51
which makes the answer A.
Answer:
d. 56
Equation:
Let x = the percent of the 10 gallon sugar solution
10x + 76(7) = 64(10 + 7)
10x + 532 = 1088
10x = 1088 - 532
10x/10 = 556/10
x = 55.6
55.6 is closest to 56, therefore, the answer is 56%
Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and cows he saw. Let
X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?
Answers:
Total equation: x+y = 80Legs equation: 2x+4y = 248How many ducks? 36How many cows? 44====================================================
Further explanation:
x = number of ducksy = number of cowsx+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
2x = number of legs from all the ducks only4y = number of legs from all the cows only2x+4y = total number of legs from both types of animals combinedWe're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
Jill has an old bike. her parents gave her 40$ to repair it new tires is 21$ she also wants to buy a bell 5$ and a basket 13$ how much will she have left
Answer:
1$
Step-by-step explanation:
Her total amount is 40$
She then buys the tires(tires = 21$) so she bought that subtract 21$ from 40$ 40$ - 21$=19$
She next wanted to buy a bell so she did the bell was 5$ so subtract 5$ from 19$ 19$-5$=14$ left
So remember she has 14$ left and she is buying a basket which is 13$ so her buying the basket is remaining her with 1$ because basket is 13$ and she has 14$ so what is 14$-13$ it is 1$ and there's your answer.
1$
__________
Hope this helps have a awesome afternoon:)
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Find two consecutive positive integers such that the square of the larger integer is 19 more than 9 times the smaller integer define your variables and write an equation HURRY HELP PLEASE SHOW STEPS
Answer:
9 and 10
Step-by-step explanation:
x = 1st positive integer
x+1 = 2nd positive integer
Solve for both x and x+1(x+1) is the next positive integer after x (Ex. 3 aka 2+1 is next integer after 2).
Larger Integer: x+1 ==> being squared
Smaller Integer: x ==> being multipled by 9
9x + 19 = (x+1)^2 ==> the square of (x+1) is 19 more that 9 multiplied by x.
9x + 19 = (x+1)(x+1) ==> simplify
9x + 19 = x(x+1) + 1(x+1) ==> distribute (x+1) to x and 1.
9x + 19 = (x*x + 1*x) + (1*x + 1*1)
9x + 19 = x^2 + x + x + 1 ==> simplify
9x + 19 = x^2 + 2x + 1
19 = x^2 - 7x + 1 ==> subtract 9x on both sides
Make one side of the equation equal to 0 so you can factor the equation:
0 = x^2 - 7x - 18 ==> subtract both sides by 19
0 = x^2 + 2x - 9x - 18 ==> 2x - 9x = -7x and 2 * (-9) = -18
0 = x*x + 2x - 9x - 18
0 = x(x + 2) - 9(x + 2) ==> factor
0 = (x - 9)(x + 2)
x - 9 = 0 x + 2 = 0
x = 9 x = -2
Out of x = 9 and x = -2, only x = 9 is positive.
Hence, x = 9 and x+1=10.
Hence, the answers are 9 and 10.
solve the equation 4x^3 + 32x^2 + 42x - 16 = 0, given that one root is equal to the sum of the other two roots
The solutions to the equation are x = -1, x = -8, and x = 1/2.
How to calculate the valueThe equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:
2x³ + 16x² + 21x - 8 = 0
We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:
(x + 1)(2x² + 15x - 8) = 0
We can then factor the quadratic 2x² + 15x - 8 by grouping to get:
(x + 8)(2x - 1) = 0
This gives us two more roots, x = -8 and x = 1/2.
Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.
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Question 6: Question 6 E 0/2 pts Which source of bias is most relevant to the following situation: A group of first time offenders are asked to rate their court-appointed defense attorney while their case is still being argued in court. Self-interest study voluntary response bias O nonresponse bias or missing data perceived lack of anonymity loaded or leading question Question 7: Question 7 < > In a study, the data you collect is Mood on a Happy/OK/Sad scale. This data is: Quantitative Qualitative (Categorical) Question 8: Question 8 < > Does this describe an observational study or an experiment? The gender of children born in January were tallied Experiment Observational Study
Perceived lack of anonymity is the source of bias that is most relevant to the given situation.
The data collected in the study, which is Mood on a Happy/OK/Sad scale, is qualitative or categorical data.
This describes an observational study.
What is Statistics?
Statistics is a field of study that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves the use of mathematical and statistical methods to extract meaningful insights from data and to draw conclusions or make decisions based on the findings.
When individuals are asked to provide feedback on a court-appointed defense attorney while their case is still being argued in court, they may feel that their responses are not anonymous and that the attorney or the court may retaliate against them if they provide negative feedback. This can lead to a perceived lack of anonymity, which can influence their responses and bias the feedback they provide. They may feel pressured to provide positive feedback or may choose not to provide any feedback at all, leading to nonresponse bias or missing data.Therefore, the perceived lack of anonymity can introduce bias into the feedback collected in this situation.Qualitative data is data that represents characteristics or qualities, rather than quantities or numbers. In this case, the mood of the respondents is being measured using categories or labels, such as Happy, OK, or Sad. This type of data cannot be easily measured or expressed in numerical terms, and therefore is considered qualitative.On the other hand, quantitative data is data that can be measured and expressed in numerical terms. This type of data is usually represented by numbers and can be analyzed using statistical methods to draw meaningful conclusions. Examples of quantitative data include age, weight, temperature, and number of hours worked.In an observational study, the researcher observes and records data on the subjects without intervening or manipulating any variables. In this case, the researcher is simply tallying the gender of children born in January, which does not involve any intervention or manipulation of variables.On the other hand, in an experiment, the researcher manipulates one or more variables to observe the effect on the outcome variable. The researcher randomly assigns participants to different groups or conditions and controls one or more variables to determine cause-and-effect relationships.Since the gender of children born in January is being observed and recorded without any intervention or manipulation of variables, it is an observational study.Learn more about Statistics click here:
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One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
\(\sqrt{399}\) or 19.97 but if you round to nearest tenth it is 20
Step-by-step explanation:
using the Pythagorean theorem of \(a^{2} +b^{2} =c^{2}\)
substitute the values of 1 for a, leave b since we do not know it, and 20 for c.
So we have
\(1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\\)
Solve for b,
\(b^{2}=399\\b=\sqrt{399}\)
Answer:
20
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=20^2
1+b^2=400
-1 -1
b^2=399
then take the square root of both and get 19.97498436
and after that, u round to the nearest 10th and get 20
hope this helps
Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?
Answer:
I have no clue.
Step-by-step explanation:
Answer:
What is a appropriately
What is a Procedure
What is a Enthusiasm
What is a Conflict
What is a Technique
What is a Obtain
What is a conflict management
What is the value of the expression 25 ÷ 5 + (6 x 2) − 4? (2 points) 12 9 7 13
Answer:
13
Step-by-step explanation:
you use the system of equations...
:)
work out the next term of this quadratic sequence
6 9 15 24 _
Answer:
36
Step-by-step explanation:
Every next term is added by a multiple of 3
6 + 3 = 9
9 + ( 3 × 2 ) = 15
15 + ( 3 × 3 ) = 24
24 + ( 3 × 4 ) = 36
Answer:
36.
Step-by-step explanation:
The differenes in the terms are 3, 6, 9 so the next difference is 12.
24 + 12 = 36.
Example 5: Writing and Solving an Equation
The circles are identical. What is the area of each circle?
x + 2
4X
Please help…
Step-by-step explanation:
radius =x+2
diameter=4x
Diameter=2(radius)
4x=2(x+2)
4x=2x+4
4x-2x=4
2x=4
x=4/2
x=2
Subtitute x=2 in radius:
r=2+2=4
Area=πr²
Area=3.14×4²
Area=3.14×16
Area=50.24
Both the circles are identical so area is same.
Note:if you need to ask any question please let me know.
10 5/6 simplified fraction into a decimal
Answer:
10.8333..
Step-by-step explanation:
Multiply 6 by 10/ 60
Add 5 to answer/ 65
Divide answer by 6/ 65÷6
Use scientific calculator to convert to the decimal
10 5/6 as a decimal is 10.83.
What are decimals?
A decimal is a non integer. It is separated by a point. An example of a decimal is 1.20.
In order to convert the mixed fraction to a decimal, first convert to an improper fraction: 10 5/6 = 65 / 6
The second step is to divide 65 by 6. Th result is 10.83
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Marvin wrote a decimal on the whiteboard. The value of the 6 in Marvin’s decimal is equal to 1/10 of 0.06. Which of the following numbers could be Marvin’s decimal?
A) 63.576
B) 63.657
C) 63.679
D) 63.960
READ: Please leave a reasoning/explanation. You don't need to give a full paragraph of your explanation
Answer:
A) 63.576
Step-by-step explanation:
1/10 can also be 10/100 which is 10%
10% of 0.06 = 0.006
20=5x-13=6x what is x equaled to
HELP ASAP
20=5x-13+6x
We move all terms to the left:
20-(5x-13+6x)=0
We add all the numbers together, and all the variables
-(11x-13)+20=0
We get rid of parentheses
-11x+13+20=0
We add all the numbers together, and all the variables
-11x+33=0
We move all terms containing x to the left, all other terms to the right
-11x=-33
x=-33/-11
x= 3
Answer:
3
Step-by-step explanation:
First, write the equation.
20=5x-13+6x Combine like terms on the right side.
20=11x-13 Add 13 on both sides.
+13 +13
33=11x Divide both sides by 11.
/11 /11
3=x
Hope this helps!! Have a wonderful day :3
Katoomba Scenic Railway in Australia is the steepest railway in the world. The railway makes an angle of about 52 degrees with the ground. The railway extends horizontally about 458 feet. What is the height of the railway? Round your answer to the nearest foot.
Answer:
The height of the railway = 361 feet
Step-by-step explanation:
This question can be solved by applying the required trigonometric function. Let the height of the railway be represented by h.
Sin θ = \(\frac{opposite}{hypotenuse}\)
Sin 52 = \(\frac{h}{458}\)
h = Sin 52 x 458
= 0.788 x 458
= 360.904
h = 361
So that, the railway is 361 feet high.