Answer:
OP = 25 mOQ = 25 mStep-by-step explanation:
(i) Since acceleration is constant, velocity is a linear function of time. The average velocity over the interval will serve for the purpose of computing the displacement.
d = (v1+v2)/2×t = (1.5 m/s +3.5 m/s)/2·(10 s) = 25 m
P is displaced 25 meters from O when t=10.
__
(ii) Letting the initial velocity be represented by v1, we find the velocity as a function of time to be ...
[tex]\displaystyle v(t)=v_1+\int_0^{t}{a(t)}\,dt=v_1+\int_0^{t}0.03t\,dt=v_1+\dfrac{0.03t^2}{2}\\\\v(10)=v_1+0.015\cdot 10^2 = v_1+1.5\\\\3.5=v_1+1.5\ \rightarrow\ v_1=2.0\quad\text{m/s}\\\\v(t)=2.0+0.015t^2[/tex]
Then the displacement is the integral of velocity ...
[tex]\displaystyle d=\int_0^{10}{v(t)}\,dt=\int_0^{10}{(2.0+0.015t^2)}\,dt\\\\d=2.0(10)+0.015\left(\dfrac{10^3}{3}\right)=20+5=25[/tex]
Q is also displaced 25 meters from O when t=10.
How do i write this quotient as a mixed number?
Answer:
I would write 8 3/4
right?
Answer:
8 3/4
Step-by-step explanation:
To write this as a mixed number you divide 35 by 4 to get 8 and if you out it in decimal form you get 8.75 so you take the remainder (75/100) and you simplify that to get 3/4 and after all of that you get 8 3/4. Hope this helps
what is the total distance travelled?
plzzzz helpppppppp
Answer:
Step-by-step explanation:
the corner points are O(0,0),A(45,10),D((100,10),E(120,0),G(160,0),H(200,5),F(240,5)
OA=√[(45-0)²+(10-0)²]=5√(9²+2²)=5√85≈46.1
DE=√[(120-100)²+(0-10)²]=√(400+100)=√500=10√5≈22.36
GH=√[(200-160)²+(5-0)²]=√1625≈40.31
Total distance travelled=46.1+22.36+40.31=108.77 km
At what time is the question asking
165 is what percent of 433? set up a proportion and solve
Answer:
38.1%
Step-by-step explanation:
Divide 165 by 433
165/433 = 0.381
Multiply the answer by 100
0.381 x 100 = 38.1
HELP ON TIMER!!!
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.
0
5xy^3
9x^2 y
8y^4
4xy^3
The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.
What are Polynomials?Polynomials are sums of k-xⁿ terms, where k can be any number and n can be any positive integer.
here, we have,
First, if we have a polynomial that the form is as follow
P(x,y)=a1x^n-1y^p-1+ a2x^n-2y^p-2 + . . . . + a0xy+c,
the degree can be found with the sum of the highest value of power of each term.
If the number of term is 3, it is called trinomial, if it is 2, the polynomial is called binomial.
So in our case, 0– 5xy3 + 9x2y is a binomial with a degree of 4, because number of term 2, degree =1 + 2 =3, upper than 2+ 1(the second term) 4xy^3– 5xy3 + 9x2y = -xy3 +9x2y, binomial degree 4,
and the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.
Hence, The solution is, the last possibility is 9x^2 y – 5xy3 + 9x2y =18x^2 y – 5xy3, binomial degree 4.
Know more about Polynomials here:
brainly.com/question/2833285
#SPJ5
20 POINTS! HURRY!!!!
Which expressions are equivalent to 5(1/3x+7)-3(1/3x-4)? Select three options.
5 1/3x-3 1/2x+35-12
1/6x+47
1 2/3x+36-1 1/2x+ 12
5(1/3x)+(5)(7)-(3)(1/2x)+(3)(4)
1 1/3x+35-1 1/2x-12
Answer:
2: 1/6 x + 47
3: 1 2/3 x + 35 - 1 1/2 x + 12
4: 5 (1/3x) + (5) (7) - (3) (1/2x) + (3) (4)
Step-by-step explanation: Expand,simplify by multipying, collect like terms, change fractions to the common denominator.
x^2+y^2+4x-2y-4=0 x^2+y^2+4x-2y+2=0
Answer:
both dy/dx = -(x+2/y-1)
A solid metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of radius 5 mm. Find the length of the wire.
Answer:
144 cmStep-by-step explanation:
Given
Radius of a sphere = 3 cmRadius of a cylinder = 5 mm = 0.5 cmVolume of a sphere
V = 4/3πr³= 4/3*3³π = 36π cm³Volume of a cylinder
V = πr²h = π*0.5²h = 0.25πh cm³Comparing volumes to get the length of the wire
36π = 0.25πhh = 36π/0.25π = 144 cmSketch the following functions and find the Laplace transforms:
A) LaTeX: f(t)=u(t)+3u(t-1)-2u(t-2)-2u(t-3).
B) LaTeX: f(t)=2u(t+2)-3u(t+1)+4u(t-1)-3u(t-2).
C) LaTeX: f(t)=tu(t)-(t-2)u(t-2)-2u(t-4).
D) LaTeX: f(t)=tu(t)-(2t-4)u(t-2)+(t-4)u(t-4).
Answer:
hello attached is the detailed solution
Step-by-step explanation:
Laplace transform of the functions and the sketches are attached below
A) f(t) = u(t) + 3u(t-1) - 2u(t-2) - 2u(t-3)
F(s) = [tex]\frac{1 + 3e^{-s} -2e^{-2s}-2e^{-3s} }{s}[/tex]
B) f(t) = 2u(t+2) - 3u(t+1) +4u(t-1) - 3u(t-2)
F(s) = [tex]\frac{2e^{2s} - 3e^s + 4e^{-s} -3e^{2s} }{s}[/tex]
attached below is the remaining part of the answer
Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey has 937 respondents, 694 males and 243 females. Out of the 937 total respondent's, 194 stated that they had attended multiple AFL games. Of these 194 fans that had attended multiple games, 169 were male. Using this survey information, answer the following questions.
1- What is the probability that a randomly selected fan has attended multiple games?2- Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?3- What is the probability of a randomly selected fan being male and having attended multiple games?4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?5- What is the probability that a randomly selected fan is male or has attended multiple games?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Total respondent : n(T) = 937
n(male) = 694
n(Female) = 243
n(multiple AFL) = 194
_______________AFL
Male ____694___169
Female __243___ 25
Total____ 937___194
1.) What is the probability that a randomly selected fan has attended multiple games?
n(Multiple AFL) / n(Total)
= 194 / 937
= 0.207
2.) Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?
Male who attended multiple AFL / n(multiple AFL)
= 169 / 194
= 0.871
3- What is the probability of a randomly selected fan being male and having attended multiple games?
Number of males who have attended multiple games / n(Total)
= 169 / 937
= 0.180
4- Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?
Number of males who have attended multiple AFL / n(male)
169 / 694
= 0.2435
5- What is the probability that a randomly selected fan is male or has attended multiple games?
[n(male) + n(multiple AFL)] / n(Total)
(694 + 194) / 937
= 888 / 937
= 0.9477
Out of 431 applicants for a job, 142 have over 5 years of experience and 103 have over 5 years of experience and have a graduate degree. Consider that 144 of the applicants have graduate degrees. What is the probability that a randomly chosen applicant has over 5 years of experience, given that the applicant has a graduate degree? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
0.2390Step-by-step explanation:
Given
Total applicants = 431Applicants with graduate degree and over 5 years of experience = 103Probability = favorable outcomes/total outcomes
Required probability
103/431 = 0.2390 rounded to 4 decimal placesHello, please help me with this question, thank you very much. :)
Answer:
AE=EB
Step-by-step explanations
If 5 times a number is increased by 4 , the result is at least 19. Find the least possible number that satisfies these conditation.
Answer:
3
Step-by-step explanation:
5 times 3 is 15 + 4 is 19.
This is the least possible number. as any other number would be too big or too little.
Evaluate the expression when a =3 and y=-3.
y-5a
Please help
Answer:
7
Step-by-step explanation:
5x3 =15
3-15=12
15-12=7
Square root of 34 is between what two whole numbers
Answer:
5-6
Step-by-step explanation:
closer to 6
The value of root 34 lies between 5 and 6.
What is square root?The square root of a number is that factor of a number which when multiplied by itself gives the original number. Squares and square roots are special exponents. Consider the number 9. When 3 is multiplied by itself, it gives 9 as the product.
This can be written as 3 × 3 or 3². Here, the exponent is 2, and we call it a square. Now when the exponent is 1/2, it refers to the square root of the number. For example, √n = n^(1/2), where n is a positive integer.
given number: 34
√34
=√2*17
=√2*√17
=1.414*4.123
=5.829922
Hence, root 34 lies between 5 and 6.
Learn more about square root here:
https://brainly.com/question/3120622
#SPJ2
For questions 7 and 8, state whether the investigation is an observational study or a designed experiment. Explain your answer.7. Researchers randomly assigned 39,876 initially healthy women 45 years of age or older to 100 mg of aspirin or placebo on alternative days and then monitored them for 10 years for a first major cardiovascular event (i.e. nonfatal myocardial infarction, non-fatal stroke, or death from cardiovascular causes).8. A study involving 3800 people over the age of 65 in East Boston. The study took place over a six year period and compared the age at which death occurred for right handed people vs. left handed people among the 3800 people who died during the six year period. The study concluded there was no difference.
Answer:
7. EXPERIMENTAL DESIGN
8. OBSERVATIONAL STUDY
Step-by-step explanation: Conducting researches may be structured as being observational or experimental. The difference between the two methods lies thus ;
Observational study requires that subjects or variables employed in the research study are data collected from a source or variables which aren't tampered with during the course of the research study. Here, variables or subjects are not subjected to any treatment before inference is made. Such is the case in scenario (8) whereby inference was made after observing variables involved in the research for 6 years without applying any treatment to either variable before inference was drawn or made.
Experimental design however, involves the actual application of treatment on the subjects involved in the study and their response being noted in other to make a conclusion. The groups may be divided into two ; the treatment group and the placebo group just like in the scenario above.
What is the inverse of the function f(x) = 2x + 1?
Answer: The inverse of the linear function f(x)=2x+1 is f^(-1) (x) = (1/2)x-1/2
Solution
f(x)=2x+1
y=f(x)
y=2x+1
Isolating x: Subtracting 1 both sides of the equation:
y-1=2x+1-1
y-1=2x
Multiplying both sides of the equation by 1/2:
(1/2)(y-1)=(1/2)2x
(1/2)y-1/2=x
x=(1/2)y-1/2
Changing "x" by "f^(-1) (x)" and "y" by "x":
f^(-1) (x) = (1/2)x-1/2
Which best describes the tax rate for the Top 1%, as compared with the rates paid by the groups labeled Next 10%, Next 5%, and Next 4%?
Answer: Regressive
Step-by-step explanation:
The type of tax rate that describes the tax rate for the top 1% compared with the rates paid by the groups, with next 10%, 5%, and 4% as labels is: regressive.
What is Regressive Tax?A regressive tax system is a type of system whereby tax rate decreases as the amount of taxable income increases, and vice versa, in such a way that the average tax rate exceeds the marginal tax rate.
Thus, the type of tax rate that describes the tax rate for the top 1% compared with the rates paid by the groups, with next 10%, 5%, and 4% as labels is: regressive.
Learn more about regressive tax on:
https://brainly.com/question/2214317
3x10 to the second power
Answer: 300
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Complete the conditional statement.
If 2 > -a, then _____.
a > 2
a > -2
a < 2
a < -2
Answer:
Hi there!
Your answer is:
B. x> -2
Step-by-step explanation:
Divide both sides -1 to solve for A. When dividing by a negative, switch the signs!
Hope this helps
The price of an item has been reduced by $4.19. The original price was $54.73. What is the price now?
Answer:
$50.54
Step-by-step explanation:
Why can the electric force be either attractive or repulsive?
a. The values of the charges, q1 and q2, could be either positive or negative (THIS ANSWER IS CORRECT)
b. Coulombs constant, k, does not have a negative sign
c. The distance between the charges cannot be negative
d. The force is calculated by the constant, not the charges
Answer:
A
Step-by-step explanation:
(So the question doesn’t get removed)
X - 21 = -12? please.
Answer:
x=9
Step-by-step explanation:
Hello!☺
[tex]Answer:\boxed{x=9}[/tex]
[tex]Explanation:[/tex]
[tex]x-21=-12[/tex]
In our first/last step, we will add 21 to both sides:
[tex]x-21+21=-12+21\\x=9[/tex]
[tex]x=9[/tex] is your answer.
Hope this helps!☺
FIRST RIGHT GETS BRAINLIEST
Answer:
Area = 90 units^2
Step-by-step explanation:
For the area of a triangle, we can simply use the following equation:
Area = ( 1 / 2 ) * Base * Height
We are given a base of 12 and a height of 15, so we can simply plug those values into the formula to find the area.
Area = ( 1 / 2 ) * Base * Height
Area = ( 1 / 2 ) * 12 * 15
Area = 6 * 15
Area = 90
Hence, the area of our triangle is 90 units^2.
Cheers.
[tex]\sf{\bold{\green{\underline{\underline{Given}}}}} [/tex]
⠀⠀⠀⠀
Height = 15 unitsBase = 12 units______________________[tex]\sf{\bold{\green{\underline{\underline{To\:Find}}}}} [/tex]
⠀⠀⠀⠀
area = ?? ______________________[tex]\sf{\bold{\green{\underline{\underline{Solution}}}}} [/tex]
⠀⠀⠀⠀
[tex]\sf{\red{\boxed{\bold{area = \dfrac{1}{2}\times base\times height}}}}[/tex]
⠀⠀⠀⠀
area = 1 / 2 × 15 × 12
⠀⠀⠀⠀
area = 1 × 15 × 6
⠀⠀
area = 90 unit²
______________________[tex]\sf{\bold{\green{\underline{\underline{Answer}}}}} [/tex]
⠀⠀⠀⠀
area of the triangle is 90 unit²Can I please get some help
which is the RIGHT answer???
Which statements correctly describe the cosine and sine functions? Check all that apply.
The cosine function increases on (90°, 180°) and (270°, 360°).
The sine function increases on (0°, 90°) and (270°, 360°).
The cosine function decreases on (0°, 180°).
Both the cosine and sine functions have a minimum value of 0.
Both the cosine and sine functions have a maximum value of 1.
Both the cosine and sine functions are periodic.
Answers:
B: The sine function increases on (0°, 90°) and (270°, 360°).
C: The cosine function decreases on (0°, 180°).
E: Both the cosine and sine functions have a maximum value of 1.
F: Both the cosine and sine functions are periodic.
The only statements that correctly describe the cosine and sine functions are;
Option B: The sine function increases on (0°, 90°) and (270°, 360°).
Option C: The cosine function decreases on (0°, 180°).
Option E: Both the cosine and sine functions have a maximum value of 1.
Option F: Both the cosine and sine functions are periodic.
To answer this question, we need to first write the sine and cosine of angles 0°, 90°, 180°, 270° and 360°.
sin 0° = cos 90° = 0
cos 0° = sin 90° = 1
sin 180° = cos 270° = 0
cos 180° = sin 270° = -1
cos 360 = 1
sin 360 = 0
Let us look at the options;
Option A; Statement is not correct because cosine decreases from 90° to 180°.
Option B; This statement is correct because sine increases from 0 to 1 on (0°, 90°) and increases from -1 to 0 on (270°, 360°).
Option C; This statement is true because cosine decreases from 1 to -1 on (0°, 180°).
Option D; This statement is not true because they can also have negative values which are lesser than 0.
Option E; This statement is true because they both have a maximum value of 1.
Option F; This is true because since they repeat values they are said to be periodic.
Read more at; https://brainly.com/question/10638674
Paige entered the following values into the TVM Solver on her graphing
calculator.
N=
1%=3.3
PV=-43
PMT=0
FV=86
PY=1
C/Y=1811
PMTEENL BEGIN
What does the rule of 69 predict will be the approximate value of N?
Answer:
N ≈ 21
Step-by-step explanation:
Paige is apparently interested in the number of years required to double her money (from 43 to 86) at an interest rate of 3.3% per year. The rule of 69 says that doubling time will be approximately 69/3.3 ≈ 20.9.
The approximate value of N is 21.
_____
For the given entries, my TVM Solver gives N = 21.00465139.
Answer:
20.9
Step-by-step explanation:
An international company has 17.900 employees in one country. If this represents 28.7% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
513,730
Step-by-step explanation:
You times 17,900 by 28.7 to get 513,730.
the sum of two integers is 9 the product of the integers is 14 what are the integers
A company manufactures a 14-ounce box of cereal. Boxes are randomly weighed to ensure the correct amount. If the discrepancy in weight is more than 0.25 ounces, the production is stopped.
Which function could represent this situation?
- f(x) = |14 + x|
- f(x) = |14 - x|
- f(x) = x - 14
Answer:B; second one
Step-by-step explanation:
Answer:
B)
Step-by-step explanation:
Edg 2020
