Answer:
[tex]x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\left|x\right|=\frac{1}{3}\\\\\mathrm{Apply\:absolute\:rule}:\\\quad \mathrm{If}\:|u|\:=\:a,\:a>0\:\mathrm{then}\:u\:=\:a\:\quad \mathrm{or}\quad \:u\:=\:-a\\\\x=-\frac{1}{3}\quad \mathrm{or}\quad \:x=\frac{1}{3}[/tex]
Which ratio is greater than 5/8 ? A. 12/24 B. 3/4 C. 15/24 D. 4/12
B is the 3/4 = .75 and 5/8 = .625
The monthly rents (in dollars) paid by 8 people are given below. (Note that these are already ordered from least to greatest.) 545, 945, 970, 995, 1015, 1030, 1040, 1124 Suppose that one of the people moves. His rent changes from $545 to $905.
Answer the following. (a) What happens to the median? It decreases by s[ It increases by se It stays the same. It decreases bys] (b) What happens to the mean? It increases by It stays the same.
Answer:
Step-by-step explanation:
Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Now: 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124
a) Median stays same.
As number of data's is 8, median is the average of 4th and 5th term
Median = (995 + 1015)/2 = 2010/2 =
Median = 1005
When rent changes from $545 to $ 905, the 4th and 5th term remains same.
So, median stays same
b) Mean increases 45
Before: 545, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Mean = Sum of rents ÷ 8
= (545 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8
=7664/8
= 958
Now : 905, 945, 970, 995 , 1015, 1030 , 1040 , 1124
Mean = (905 + 945+ 970+ 995 + 1015 +1030 + 1040 + 1124)/8
= 8024/8
= 1003
Mean increases by 1003 - 958 = 45
Is this statement true or false?
The period before we have written records is called prehistory
true
false
It's history
Factorize 6p2 - 7p + 2
Answer:
(2p - 1)(3p - 2)
Subtract 10 from Thanh's age and double the result, and you get Xuyen's age. Xuyen is 22. How old is Thanh?
Answer:
let thanh age be x
Step-by-step explanation:
xuyen age= 22
therefore= (X-10)2=22
=2x-20=22
=2x=44
x=22
thanh age is 22
the difference between -89.2 and 56.7
Answer:
Step-by-step explanation:
-32.5
Can anyone help with this question
Answer: A) x=6
Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.
so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.
(8-6)=2
9 times 2= 18
3 times 6= 18
this means that x would equal 6
if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.
:)
Today only, a table is being sold at a 62% discount. The sale price is $144.40.
What was the price yesterday?
$ 232.90
Step-by-step explanation:62% ........... $144.40
100% ..........$ x
x = 144.40×100/62
= 14440/62
= $ 232.90
h=vt+1/2gt^2 solving for G
GIVING BRAINLISEST
Answer:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle h = vt+\frac{1}{2}gt^2[/tex]
And we want to solve for g, the acceleration due to gravity.
Proceed with algebra:
[tex]\displaystyle \begin{aligned} h & = vt + \frac{1}{2}gt^2 \\ \\ h - vt & = \frac{1}{2}gt^2 \\ \\ gt^2& = 2(h-vt) \\ \\ g &= \frac{2(h-vt)}{t^2}\end{aligned}[/tex]
In conclusion:
[tex]\displaystyle g = \frac{2(h-vt)}{t^2}[/tex]
Answer:
g = [tex]\frac{2(h - vt)}{t^2}[/tex]
Step-by-step explanation:
Given
h = vt + [tex]\frac{1}{2}[/tex] gt² ( subtract vt from both sides )
h - vt = [tex]\frac{1}{2}[/tex] gt² ( multiply both sides by 2 to clear the fraction )
2(h - vt) = gt² ( divide both sides by t² )
[tex]\frac{2(h-vt)}{t^2}[/tex] = g
I really need help with this question
Answer:
The answer is 235.6
Step-by-step explanation:
You plug in the numbers to the equation.
What is the horizontal distance between the two points (-7,-4) and (12,-4)? Remember that distance is always positive! Hint: The horizontal distance is represented by the 1st number in each coordinate. What is the difference between -7 and 12?
==================================================
Explanation:
Draw out a number line. Plot -7 and 12 on the number line. Draw in the tickmarks between them. You should find the distance from -7 to 12 is 19 units since you need to go 19 spaces from either -7 to 12, or vice versa.
You can use subtraction to get
-7-12 = -19
or
12-(-7) = 12+7 = 19
The final result is made positive since negative distance does not make sense.
So you'd have |-7-12| = |-19| = 19 or |12-(-7)| = |19| = 19.
All of this only works because the two y coordinates are the same, which makes a horizontal line through the two given points.
Find the probability for one roll of a number cube.
P(number greater than or equal to 7)
A. 1/7
B. 0
C. 1/6
D. 1
The only possible outcomes on a standard number cube (aka a die or dice) are {1,2,3,4,5,6}
It is not possible to roll a 7 or larger, so we say the probability is 0. A probability of 0 means "impossible".
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final hurdle at the 3/4 mile park. How many hurdles did Eli jump over?
box contains five while balls, four red balls and three blue balls. Suppose that three balls are randomly selected. a. What is the probability that exactly two of the balls are white ? b. What is the probability that one ball of each color is selected ? c. What is the probability that all three of the selected balls have the same color ?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of white balls = 5
Number of red balls = 4
Number if blue balls = 3
Probability = required outcome / Total possible outcomes
Total possible outcomes (Total number of balls) = 5 + 4 + 3 = 12
a. What is the probability that exactly two of the balls are white?
(White, white, not white) or (not white, white, white) or (white, not white, white)
Assume balls were picked without replacement ;
P(white, white, not white) = (5/12 × 4/11 × 7/10) = 0.1060606
P(not white, white, white) = (7/12 × 5/11 × 4/10) = 0.1060606
P(white, not white, white) = (5/12 × 7/11 × 4/10) = 0.1060606
P(exactly 2 white balls) = 3×(0.1060606) = 0.3181818
b. What is the probability that one ball of each color is selected ?
(White, red, blue) or (red, white, blue) or (red, blue, white) or (blue, red, white), (white, blue, red), (blue, white, red)
P(white, red, blue) = (5/12 * 4/11 * 3/10) = 0.0454545
(0.0454545 × 3) = 0.272727
c. What is the probability that all three of the selected balls have the same color ?
P(white, white, white) or P(blue, blue, blue) or P(red, red, red)
P(white, white, white) = (5/12 * 4/11 * 3/10) = 0.0454545
P(blue, blue, blue) = (3/12 * 2/11 * 1/10) = 0.0045454
P(red, red, red) = (4/12 * 3/11 * 2/10) = 0.0181818
(0.0454545 + 0.0045454 + 0.0181818) = 0.0681817
two groups of people need to get to the top floor of a building. the first. group had 33 people, and its elevator can carry 6 people per trip. the second group has 49 people,but its elevator can carry 7 people per trip..... group 1 is represented by the equation 6x=33. solving the equation gives x what
Step-by-step explanation:
6x = 33
or, x=33/6
x=5.5
wish of the following is most likely the next step in the series? A4a,b8B,C12c,d16D
1. Four times a number increased by 3 is -89. what is the correct equation?!? PLEASE HELP ME!!!
A. 3+= 89
C. 4n+3 = -89
B. 4n-3= -89
D.4+3n = -89
What’s the answer to -11-8=
-11-8 = -19
Step-by-step explanation:
semoga membantu anda
Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x Using the law of logarithms blogbn = , we have that f(g(x)) = . We also need to show that is also equal to x. g(f(x)) = log10(10x) Using the law of logarithms logbbn = , which means that g(f(x)) = x. Therefore, f and g are inverses of each other.
Complete the statements to verify that f(x) = 10x and g(x) = log10x are inverses of each other. f(g(x)) = 10log10x
The answer is given below in the image.
What are the two laws of logarithms?The laws apply to logarithms of any base but the identical base needs to be used at some point in a calculation. This regulation tells us a way to add logarithms collectively. Adding log A and log B results in the logarithm of the product of A and B, that is log AB. The same base, in this situation 10, is used throughout the calculation.
What is the fundamental law of logarithms?A logarithm of more than a few raised to a power is identical to the power expanded via the logarithm of the wide variety to the same base. that is, loga(mn) = nlogam.
Learn more about logarithms here: https://brainly.com/question/247340
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What is the value of x
Answer:
x =68
Step-by-step explanation:
The sum of the angles of a triangle are 180
37+75+x = 180
Combine like terms
112+x = 180
Subtract 112 from each side
112+x-112=180-112
x =68
explain briefly what you understand by each of the following techniques of investment appraisal.
1. profitability index
Answer:
Is Calculated by dividing the present value of future cash flows that will be generated by the project by the project
Step-by-step explanation:
BRAINILIEST PLEASEEEEEE
Which of the following measurements is a little more than 3 feet?
None of the measurements on the list you provided is more than 3 feet.
A jug contains 20 3/8 cups of lemonade. If you are serving guests at a summer picnic, how many glasses can you fill if each guest gets 1 1/2 cups of lemonade?
Answer:
13 glasses
Step-by-step explanation:
Given:
Amount of of lemonade available = 20⅜ cups
Amount of lemonade per guest = 1½ cups
Required:
Number of glasses to be filled
SOLUTION:
Number of glass to be filled = amount of lemonade available ÷ amount of lemonade per guest
= 20⅜ ÷ 1½
Change both mixed fractions to improper fractions
= [tex] \frac{163}{8} [/tex] ÷ [tex] \frac{3}{2} [/tex]
Flip the fraction on your right upside down and change the division to multiplication
[tex] = \frac{163}{8} * \frac{2}{3} [/tex]
[tex] = \frac{163*2}{8*3} [/tex]
[tex] = \frac{163*1}{4*3} [/tex]
[tex] = \frac{163}{12} = 13.58 [/tex]
Number of glasses that would be filled is roughly 13 glasses.
Differentiate the function. f(x) = sin(9 ln(x))
Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=\sin(9\ln (x))[/tex]
Using chain rule differentiate w.r.t. x.
[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex] [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]
[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex] [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]
[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]
Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].
You have a summer job detailing cars. You charge $5 to wash a car, $25 to wax a car, and $2 to vacuum a car. What algebraic expression models the total amount you can earn? If you wash 8 cars, wax 2 cars, and vacuum 6 cars, how much will you earn in all?
5x+25x+2x, $102
Step-by-step explanation:
5x+25x+2x
5(8)=40
25(2)=50
2(6)=12
add what's behind the equal signs to get $102 in all
5
Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer
Answer:
[tex]p(-4) = 0[/tex]
Step-by-step explanation:
Given
[tex]Polynomial: p[/tex]
[tex]Factor: (t + 4)[/tex]
Required
Which statement is true
First we need to equate t + 4 to 0; then solve for t
[tex]t + 4 = 0\\[/tex]
[tex]t = 0 - 4[/tex]
[tex]t = -4[/tex]
Represent the polynomial as a function of t:
[tex]p(t) = 0[/tex]
Substitute -4 for t
[tex]p(-4) = 0[/tex]
A group of 7 students was asked, "How many hours did you watch television last week?" Here are their responses. 20,6,17,10,19,15,9 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.
Answer: 13.71
Step-by-step explanation:
20+6+17+10+19+15+9=96
96/7=13.71
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
Pls help pls ASAP 1,2,3,4
Answer:
3
Step-by-step explanation:
Answer: the third on i think
Step-by-step explanation:
what are prime numbers?
Answer:
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers.
Answer:
Prime numbers are positive integers that have only 2 factors: Itself, and 1.
For example, 13 is a prime number because it has only 2 factors that are: 1 and 13.
1 is NOT a prime number as it only has 1 factor which is 1.