the domain of function y = sin (x) is : -
=》A (-♾,♾)
Nancy bought a vase as wedding gift .The cost excluding vat was R250.How much must she pay with VAT inclusive
Step-by-step explanation:
VAT = 250*15%
VAT = 250*15/100
VAT = 37.5 therefore
total price add VAT =250+37.5
=287.5
Each of three friends flips a coin 36 times.Angel records ”tails” 20 times,Santi records “tails” 17 times.Kataleya records “tails” 23 times. Find the relative frequency with which each friend records “tails” Which friend has a relative frequency that is closest to the theoretical probability of flipping “tails” 36 times?Explain.
Answer:
The one with 17
Step-by-step explanation:
Heads/tails=1/2 or 50%
20/36=56%
17/36=47%
20/36=64%
47% is closer to 50%
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Answer:
29.71
Step-by-step explanation:
Continuous Compounding Formula = P x e^(r x t)
= 181.25 x e^(0.29710000000000003 x 7) = 1450.37
If x=7-4 √3 then find the value of (x+1/x)^2
Answer:
29.03703703
Step-by-step explanation:
7-4 √3 = 5.196152423
(5.196152423 + 0.19245009)^2
When driving in England, Brian drove through several speed cameras. On one drive, Brian left his hotel and after 7 minutes he was 2.5 km away and at that moment was measured going 0.5 kpm (kilometers per minute). Later, 18 minutes after he started driving, he was 14.8 km from the hotel and at that moment was measured going 0.8 kpm.
A. Find the linearization at 7 minutes.
B. Find the linearization at 18 minutes.
C. Compute two approximations for Brian's distance from his hotel at 14 minutes, using the linearizations from parts a and b.
D. Which approximation do you think is better? Why?
Solution :
The formula for the linearization of a function [tex]$f(x)$[/tex] at a point [tex]$x$[/tex] = a is given as
[tex]$L(x)=f(a)+(x-a)f'(a)$[/tex]
Assuming the time is t and the distance travelled is [tex]$f(t)$[/tex], that makes the speed as [tex]$f'(t)$[/tex].
So substituting them in the linearization formula,
A. At t = 7 minutes
f(7) = 2.5 km
f'(7) = 0.5 kpm
∴ [tex]$L_7(t)=f(7)+(t-7)f'(7)$[/tex]
[tex]$=2.5+(t-7)0.5$[/tex]
[tex]$=2.5+0.5t-3.5$[/tex]
[tex]$=0.5t-1$[/tex]
B. At t = 18 minutes
f(18) = 14.8 km
f'(18) = 0.8 kpm
∴ [tex]$L_{18}(t)=f(18)+(t-18)f'(18)$[/tex]
[tex]$=14.8+(t-18)0.8$[/tex]
[tex]$=14.8+0.8t-14.4$[/tex]
[tex]$=0.8t-0.4$[/tex]
C. Substituting the value of t as 14 in both the linearization to determine the position at 14 minutes, we get
[tex]$L_7(14)=0.5(14)-1.0$[/tex]
= 7 - 1
= 6 km
[tex]$L_{18}(14)=0.8(14)+0.4$[/tex]
= 11.2 + 0.4
= 11.6 km
D. According to the linearization at 7, the distance travelled between the 7 minutes and 14 minutes is = 6 km - 2.5 km
= 3.5 km
And between the 14 minutes and 18 minutes is = 14.8 km - 6 km
= 8.8 km
This is an average speed of 0.5 kpm in the first interval and an average speed of 2.2 kpm.
Now, according to the linearization of 18, the distance travelled between the 7 minutes and the 14 minutes is = 11.6 km - 2.5 km
= 9.1 km
And between 14 minutes and 18 minutes is = 14.8 km - 11.6 km
= 3.2 km
This gives an average speed of 1.3 kpm in the first interval and 0.8 kpm in the second interval.
Therefore, the second approximation is the better one since the average speed are closer to the actual readings in the second linearization.
If you help me and explain how you got your answer you will get brainlisyt
Answer:
36.72
Step-by-step explanation:
Take 60% of 61.20. That is the markup.
60% * 61.20 = 60/100 * 61.2 = 3672/100 = 36.72
The markup is 36.72
Find the slope of the line.
Select the point that is a solution to the system of inequalities.
A- (2,6)
B- (0,8)
C-(-2,-4)
D-(4,2)
HELP PLEASE!!!!!
Answer:
its A
Step-by-step explanation:
What are the slope and y-intercept of the line?
Answer:
i justr f arted really loud LOL
Step-by-step explanation:
Answer:
the choice below, with slope= app. 1.33!
Step-by-step explanation:
24 13
10) Find the midpoint of a line segment AB. A(3, 10) and B (-9,3)
Answer:
(-3 ;13/2)Step-by-step explanation:
hello :
the midpoint of the line segment is : ((3-9)/2 ;(10+3)/2 )
(-3 ;13/2)
a sum of money is divided in the ratio 5 : 7 . If the larger sum is Rs 196, find the smaller sum
Answer:
169
Step-by-step explanation:
Larger Number = 196
Smaller Number = 169
Step-by-step explanation:
larger sum = 196/
smaller sum = 169/
hope it helps. :)
Rearrange the following times of the day from earliest to latest. 10:30am 04:25 10:45pm 22:15 4:15pm 16:05 4:30 am
Answer:
04:25 is the earliest because it is 4:25 am using 24 hour clock then, 4:30 am, 10:30a.m, 16:05 because 16:05 is the same as 4:05 pm , 4:15 pm, then 22:15 because in 24 hour clock is means 10:15 pm and the latest is 10:45pm
Find the volume in cubic inches
H-12 in.
L-8 in.
W-5in.
Answer:
480[tex]in^3[/tex]
Step-by-step explanation:
Volume of a Rectangular Prism = L x W x H
12 x 8 x 5 = 96 x 5 = 480
480 in^3
please help me with the i-ready
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: Graph 3
Explanation: Only one that satisfies both patterns
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Pls help extra points
Answer:
B
the middle one
Step-by-step explanation:
The central limit theorem
A. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the Student t distribution.
B. postulates that the sample mean is a consistent estimator of the population mean.
C. only holds in the presence of the law of large numbers.
D. states conditions under which a variable involving the sum of Y1,..., Yn i.i.d. variables becomes the standard normal distribution.
Answer:
Option D (States.......distribution) is the appropriate choice.
Step-by-step explanation:
The superposition principle says that perhaps the sample distribution better reflects the regular distribution.
Because this sample size or group grows, all observations appear identical although irrespective of that same population demographics or distributions.It shows everybody precisely how the measures are to be distributed if we take a friendly reminder from some kind of population group.The latter choices should not affect the situation involved. The reaction, then, is the right one.
HELP NEEDED PLSS
Given the following diagram, find the trigonometric ratios.
Leave answers as reduced fractions (improper fractions are fine).
B
sinA=
COSA =
Answer:
Sin A = 3/5
Cos A = 4/5
Step-by-step explanation:
To find trigonometric ratio, recall SOHCAHTOA.
Thus:
Reference angle = <A
Opposite side to <A = 6
Adjacent side = 8
Hypotenuse = AB = √(8² + 6²) = 10 (pythagorean theorem)
Therefore,
✔️Sin A = Opp/Hyp
Sin A = 6/10 = 3/5
✔️Cos A = Adj/Hyp
Cos A = 8/10 = 4/5
How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!
Answer:
Range= (0,∞) and (-∞,0)
Step-by-step explanation:
Theres no real process to finding this out you just look at what type of function you have, your graph and your asymptote. We can see that the parts above the asymptote go up and towards ∞ and the part below goes down to -∞ but they can not cross 0
Answer:
(-infinity, -32/81] U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
Step-by-step explanation:
The range is all possible y values in a function.
We can find the inverse of the function to find the range.
[tex]y = \frac{8}{ {x}^{2} - 7x - 8 } [/tex]
Replace x with y
[tex]x = \frac{8}{ {y}^{2} - 7y - 8 } [/tex]
Write the LCD as two binomial,
[tex]x = \frac{8}{(y + 1)(y - 8)} [/tex]
Multiply both sides by both binomial
[tex]x(y + 1)(y - 8) = 8[/tex]
[tex](xy + x)(y - 8) = 8[/tex]
[tex]x {y}^{2} - 8yx + xy - 8x = 8[/tex]
[tex]xy {}^{2} - 8yx + xy = 8 + 8x[/tex]
[tex]y( {x}^{2} - 8x + x) = 8 + 8x[/tex]
[tex] \frac{8 + 8x}{ {x}^{2} - 7x } [/tex]
[tex] {x}^{2} - 7x = 0[/tex]
[tex] {x}^{2} - 7x + 12.25 = 12.25[/tex]
[tex](x - 3.5) {}^{2} = 12.25[/tex]
[tex](x - 3.5) = 3.5[/tex]
[tex]x = 3.5[/tex]
Plug that in to the function to find it range.
We get approximately
[tex] - \frac{35}{81} [/tex]
So this means a point on our function must include -35/81.
The vertical asymptote is 0 so our y cannot be zero but it goes infinitely up so our range is
(-infinity, -32/81]U (0, positive infintiy).
( use the sideways 8 symbol for infinity).
***** Help asap! *****
A sociologist will conduct a two-sample tt-test for a difference in means to investigate whether there is a significant difference, on average, between the salaries of people with bachelorâs degrees and people with masterâs degrees. From a random sample of 32 people with a bachelorâs degree, the average salary was $55,000 with standard deviation $3,500. From a random sample of 28 people with a masterâs degree, the average salary was $58,000 with a standard deviation of $4,000. With a null hypothesis of no difference in the means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means (masterâs degree minus bachelorâs degree)?
Answer:
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
3) D.f= n1+n2-2= 32+28-2= 58
Step-by-step explanation:
The null hypothesis is that there is no difference in population means (masterâs degree minus bachelorâs degree)
The claim is that there there is a difference in population means (masterâs degree minus bachelorâs degree)
1) H0: μ₁=μ₂ against the claim Ha: μ₁ ≠μ₂
2)The test statistic is
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
where
Sp= s₁² ( n1-1) + s₂²(n2-1) /(n1-1) + (n2-1)
Putting the values
Sp= 12,250,000( 31) + 16,000,000(27)/ 31+27
Sp= 379,750,000- 432,000,000/58
Sp= -52,250,000/58
Sp= -900,862.1
Now Putting the values in the t- test
t= x1`-x2`/ Sp √ ( 1/n₁ + 1/n₂)
t= 55,000- 58,000/ -900,862.1 √1/32+ 1/28)
t= -3000/ -233,120.21
t= 0.012868
3) D.f= n1+n2-2= 32+28-2= 58
for 2 tailed test the critical value of t is obtained by
t≥ t∝/2 ( d.f)=t≥ t0.025 (58)= ± 2.0017
4) Since the calculated value of t= 0.012868 does not fall in the critical region t≥ t∝/2 ( d.f)= ± 2.0017 we conclude that H0 is true and accept the null hypothesis.
The diameter of a cylindrical water tank is 10 ft, and its height is 9 ft. What is the volume of the tank?
Use the value 3.14 for w, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
225w
Step-by-step explanation:
volume formula: w*r²*9
w*5²*9
25*9w
225w
Answer: V=707
Step-by-step explanation:
5. Which of the following options is a better purchase for a microwave?
A. $20 down with equal payments of $10 for 12 weeks
B. $5 down with equal payments of $10 for 15 weeks
C. $10 down with equal payments of $5 for 24 weeks
D. $0 down with equal payments of $15 for 9 weeks
50 points and brainliest!
a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a
(a picture will be provided as well)
Answer:
Step-by-step explanation:
[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]
We know that 27^(2/3) = 9. So:
= [tex]\frac{27^{1/3b}}{27^{1/3a}}[/tex]
note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)
[tex]= 27^{1/3b-1/3a}=27^{1/3(b-a)} = 27^{1/3(2))} = 9[/tex]
9 is the answer
Answer:
1/9Step-by-step explanation:
a - b = 2
[tex]27^{1/3b} / 9^{1/2a}[/tex] =[tex](3^3)^{1/3b} / (3^2)^{1/2a}[/tex] =[tex]3^{b} / 3^a[/tex] =[tex]3^{b - a}[/tex] =[tex]3^{-2}[/tex] = 1/9Can someone help me pls
Answer:
Step-by-step explanation:
[tex]\frac{1}{2}b^{2} - 6[/tex]
[tex]\frac{1}{2}(4)^{2} - 6[/tex]
[tex]\frac{1}{2} * 16 - 6[/tex]
[tex]8 - 6[/tex]
[tex]2[/tex]
Answer:
2
Step-by-step explanation:
Plug in the value:
1/2 b² – 6
1/2 (4)² – 6
Use order of operations (PEMDAS):
There are no parentheses:
Do exponent:
1/2 (16) – 6
Then multiplication and division in the order that they come in:
8 – 6
Then addition and subtraction in the order that they come in:
2
» How many thirds are in a whole slice of toast?
Answer:
There's going to be 3 thirds in one whole sandwich. Hope this helps
Step-by-step explanation:
6 x 9 < 3 × ___ pls help me i really need help
Answer:
x = 2
Step-by-step explanation:
1. Add 9 to both sides.
6x=3+9
2. Simplify 3+9 to 12.
6x=12
3. Divide both sides by 6.
x=12/6
4.
Simplify 12/6 to 2
x = 2
X^2/3 •5x =5x^5/3
Can someone explain how the exponent is 5/3?
Nevaeh’s bag contains 2 red marbles, 3 blue marbles, and 5 green marbles. Nevaeh randomly selects a marble from the bag, records the color, and then puts the marble back in the bag. If she does this 150 times, how many times would she expect to select blue?
A 10 times
B 30 times
C 45 times
D 75 times
Answer:
30
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
mark me brainlest
help me please :(*****
Answer:
54
dcutvihvihvtuutcigciyvihvihvo
Answer:
Step-by-step explanation:
Identifying partial, strict, and total orders.
For each relation, indicate whether the relation is a partial order, a strict order, or neither. If the relation is a partial or strict order, indicate whether the relation is also a total order. Justify your answers.
(i) The domain is the set of all runners in a race. x is related to y if x beat y in the race. At least two runners in the race tied.
(j) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| ≤ |Y|.
(k) S = {a, b, c, d}. The domain is P(S), the power set of S. For X, Y that are subsets of S, X is related to Y if |X| < |Y|.
Answer:
Step-by-step explanation:
From the given information:
(i)
The domain includes all runners in a race.
x is "R" y if x beats y
clearly, x "R" x implies no meaning and sense ⇒ irreflexiveIf x "R" y ⇒ y does not beat x. Thus; asymmetricIf x "R' y and y "R" Z ⇒ Transitive.Now, in a race; either x beats y or y beats x
So, x"R"y or y "R" x, but here at least two runners tied.
Thus, the relation is not in total order as x"R"y or y"R"x may not happen.
(j)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| ≤ |X| ⇒ reflexive[tex]If \ |X| \le |Y| \ and \ |Y| \le |X|[/tex] ⇒ |X|=|Y| ⇒ Antisymmetric[tex]If |X| \ \le \ |Y| \ and \ |Y| \ \le \ |Z|[/tex] ⇒ |X| ≤ |Z| ⇒ TransitiveThus, the relation is a partial order.
(k)
S = {a,b,c,d}
The domain = Power set of S
x"R"y if |X| ≤ |Y|
clearly |X| < |X| ⇒ Irreflexive[tex]\text{If } |X| < |Y| \ and \ |Y| < |X|} \implies Antisymmetric[/tex][tex]|X| < |Y| \ and \ |Y| < |Z| \implies |X| < |Z|[/tex] ⇒ TransitiveThus, the relation is of strict order but not of the total order.