What is equivalent to 6/9
Answers
Answer:
Answer: 2/3
Step-by-step explanation:
6 and 9 are divisible by 3 so if you divide the numerator and denominator by 3 you obtain the equivalent fraction 2/3.
You can also multiply the numerator and denominator by the same amount to obtain an equivalent fraction.
Related Questions
Ascume Inat the number of now vivitors to a website in onve hour is distitudted as a Posson random vaiatila. The ineain number of new visitore to the wobsitn is 2.3 por hour. Complete parts (a) through (d) bolow a. What is the probability that in any given hour zero new visitors will arrive at the website? The probability that zero new visitors will arrive is (Round to four decimal places as needed.) b. What is the probability that in any given hour exactly one new visitor will arrive at the website? The probability that exactly ohe new visitor will arrive is (Round to four decimal places as needed.) c. What is the probability that in any given hour two or more new visitors will arrive at the website? The probability that two or more new visitors will arrive is (Round to four decimal places as needed.) d. What is the probability that in any given hour fewer than three new visitors will arrive at the website?
Answers
The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.
a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.
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Select the graph of the solution. Click until the correct graph appears. {x | x < 4} ∩ {x | x > -2}
Answers
Answer:
It converges
Step-by-step explanation:
dx/dy = x∧4 + 9x∧21
f(x) = ∫(x∧4 + 9x∧21)dy 0 > f(x) > ∞
= x∧5/5 + 9x∧22/22 + c
x = ∞ and x = 0
∴ c = 1 /5 + 9/22 = 27/22
in your own words state the segment addition postulate.
Answers
see the attached figure
the points A, B and C are collinear (the three points lies on the same line)
so
AC=AB+BC ------> by addition segment postulate
the total length is equal to the sum of its parts
What is the value of the x-coordinate that is 9 units to the left of (5, − 8) ?
HELP ME PLS
Answers
Answer:
(-4,-8)
X is the first number, y is the second number.
Step-by-step explanation:
Answer:
-4
Explanation:
The x-coordinate of (5, -8) is 5. (Always the first number)
Left means less or subtract. (Like on a number line. When moving to the left, the numbers are getting smaller.)
9 to the left of 5 is the same as 5 - 9.
5 - 9 = -4
What is the slope of a line through (-2,5) and (4,6)?
Answers
Answer:
1/6
Step-by-step explanation:
y2 - y1 / x2 - x1
6 - 5 / 4 - (-2)
1 / 6
1/6
use the definition to find an expression for the area under the graph of f as a limit. do not evaluate the limit. f ( x ) = x 2 √ 1 2 x , 2 ≤ x ≤ 4 lim n → [infinity] n ∑ i = 1
Answers
Using the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n.
To find the expression for the area under the graph of the function f(x) = x^2 √(1/2x) as a limit, we can use the definition of a Riemann sum and take the limit as n approaches infinity of the sum from i = 1 to n.
The Riemann sum is a method to approximate the area under a curve by dividing it into smaller rectangular regions. In this case, we need to express the area under the graph of f(x) as a limit of a Riemann sum.
The expression for the area under the graph of f(x) as a limit is given by:
lim n → ∞ Σ i=1^n [f(xi) Δx]
In this formula, xi represents the ith subinterval, Δx represents the width of each subinterval, and f(xi) represents the value of the function at a point within the ith subinterval.
To calculate the Riemann sum, we divide the interval [2, 4] into n equal subintervals, where Δx = (4 - 2) / n. Then, for each subinterval, we evaluate f(xi) and multiply it by Δx. Finally, we sum up all these values as n approaches infinity.
However, without evaluating the limit or specifying the specific method of partitioning the interval, it is not possible to provide a more precise expression for the area. The given information is insufficient to calculate the exact value.
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on which number line do the points represent -7 1/2 and +1 I NEED HELP ASAP PLEASE AND IM GETTING HACKED PLEASE HURRY
Answers
Answer: Hope it helps <3 :)
Please answer this question now in two minutes
Answers
Answer: z = 81
Step-by-step explanation:
TW is the midsegment of ΔSUV ⇒ UV = 2TW
Given: UV = z - 51, TW = z - 61
z - 51 = 2(z - 61)
z - 51 = 2z - 132
-51 = z - 132
81 = z
Which expression is equivalent to 3^3 + 2^2
a.6^5
b.(3x3)+(2x2)
c.5^5
d.(3 • 3 • 3) + (2 • 2)
Answers
Answer:
d.
3^3 = 3×3×3
2^2 = 2×2
(3×3×3)+(2×2)
A furniture store bought a couch for $425 and marked the price up by 70%. Angela bought the couch with a 6% tax. How much did Angela payoff the couch?
Answers
Answer:
454.68
Step-by-step explanation: so this is how u do it......
Step 1) you need to turn the pursent into this kind of number ( 70% = 0.07)
Step 2)your need to subtract from the couch price (425$ - 0.07= 424.93)
Step 3) 424.93 is the sale price so 0.07 times 424.93 = ( 29.7451)
Step 4) 29.7451 is our tax price so ( tax + sale price ) 29.7451 + 424.93 = 454.6751
Step 5) round to the nerest cent = 454.68
The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
Answers
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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i need help with 14 and 16
Answers
Answer:
Look at step-by-step explanation.
Step-by-step explanation:
The answer to 14 is 70 dollars.
The answer to 16 is 7 miles per hour or 7mph.
If you deposit $1,000 today at the bank at 7% compounded semi-annually, how much will you get in next 15 years? (Calculator & Spreadsheet
Answers
If you deposit $1,000 today at a bank with a 7% interest rate compounded semi-annually, you will have approximately $3,439.96 in 15 years.
To calculate this, we can use the formula for compound interest with semi-annual compounding: A = P * (1 + r/n)^(n*t), where A is the future amount, P is the principal amount, r is the interest rate, n is the number of compounding periods per year, and t is the number of years.
Plugging in the values, we have A = $1,000 * (1 + 0.07/2)^(2*15). Evaluating this equation, we find that the future amount is approximately $3,439.96. Therefore, after 15 years, your initial deposit of $1,000 will have grown to around $3,439.96.
The semi-annual compounding means that the interest is applied twice a year, allowing your savings to grow at a faster rate compared to annual compounding. This results in a higher final amount over time. It's important to note that this calculation assumes no additional deposits or withdrawals are made during the 15-year period.
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an open box will be made by cutting a square from each corner of a 16-inches by 10-inches piece of cardboard and then folding up the sides. what size square should be cut from each corner in order to produce a box of maximum volume? what is that maximum volume?
Answers
The size of the square to cut is 5/3 inches and the maximum volume of the box is 266.67 cubic inches.
To find the size of the square to cut and the maximum volume, we can follow these steps:
Let's call the length of each side of the square to be cut x inches. So the dimensions of the base of the box would be (16-2x) inches by (10-2x) inches.
The height of the box would be x inches since we are folding up the sides.
The volume of the box can be found by multiplying the length, width, and height: V = (16-2x)(10-2x)x.
To find the maximum volume, we can take the derivative of V with respect to x and set it equal to zero, since the maximum volume occurs at a critical point.
After taking the derivative and simplifying it, we get the equation 24x^2 - 520x + 1600 = 0.
Solving this quadratic equation, we get x = 5/3 or x = 20/3. Since x must be less than 5 (the length of the shorter side), the only feasible solution is x = 5/3 inches.
Plugging this value of x back into the equation for the volume, we get V = (16-2(5/3))(10-2(5/3))(5/3) = 266.67 cubic inches.
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Find the distance between the points in a coordinate plane. Write your answer as a decimal.
(-4,7.8), (-4, -3.5)
Answers
Answer:
11.3
Step-by-step explanation:
7.8+3.5+11.8
The cost of tuition at a 2 year school is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school. What is the minimum amount he needs to save each month? $375 $450 $750 $1,200.
Answers
Division is one of the most basic arithmetical operators. The amount that Alejandro need to save for each month is $375.
What is division?The division is one of the most basic arithmetical operators. When we divide a number (P) by another number(q), then it tells us how many times the other number(q) must be added to itself to form the first number(P).
It is given that the cost of tuition for the two years is $12,000, while the financial aid that Alejandro is eligible for is $7500, therefore, the amount that he will not be able to pay with his scholarship(financial aid) will be the difference in the fees of the student and the financial aid he is getting.
Difference = Two-year tuition fees - Financial Aid
= $12,000 - $7,500
= $4,500
Now, since Alejandro needs to save for a year so the sum he saves is $4500 therefore, the amount he needs to save each month can be written as,
\(\text{Amount Alehjandro needs to save each moth}=\dfrac{\text{Amount that Alejandro need to save}}{\text{Number of months he needs to save}}\)
\(\text{Amount Alehjandro needs to save each moth}=\dfrac{4500}{12} = \$375\)
Hence, the amount that Alejandro need to save for each of the month so that he can pay his tuition fee is $375.
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5/5 = 3/3 because they both equal 1. Leopold takes one part away from each.
Answers
If Leopold takes one part away from each of the fractions, they will not be equal anymore.
What makes fractions to be equal?Two or more fractions are said to be equal or equivalent if we simplify them and obtain the same result for both. Let's analyze the fractions given:
5/5 = 1
3/3 = 1
What happens if we remove one part away?Even when some fractions are equivalent if you modify them this will change the equivalence property, let's prove it with the fractions given:
4/5 = 0.8
2/3 = 0.66
Note: This question is incomplete; here is the missing section:
Leopold takes one part away from each. Will the fraction still be equal?
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For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0
Answers
Answer:
(-6,2)
Step-by-step explanation:
\(f(x)<0\)
We are given \(f(x)=x^2+4x-12\).
So we need to solve:
\(x^2+4x-12<0\)
First let's find when the expression on the left is 0.
\(x^2+4x-12=0\).
The expression on the left is factorable.
Given the coefficient of \(x^2\) is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.
Those numbers are 6 and -2 so the factored form is:
\((x+6)(x-2)=0\)
So the solutions can be found be solving the following linear equations:
\(x+6=0\) and \(x-2=0\).
First equation, you just need to subtract 6 on both sides. \(x=-6\)
Second equation, you just need to add 2 on both sides. \(x=2\)
So draw a number line with those on it and test the intervals they divide.
--------(-6)--------(2)----------
So we need to test three intervals.
*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want \(f(x)<0\).
Let's plug in x=-8
\(f(x)=(x+6)(x-2)\) or use \(f(x)=x^2+4x-12\).
\(f(-8)=(-8+6)(-8-2)\)
\(f(-8)=(-2)(-10)\)
\(f(-8)=20\) so this piece is above since 20 is positive and not negative.
So we will not include this interval in our answer.
*Plug in a number between -6 and 2 like 0.
\(f(x)=(x+6)(x-2)\)
\(f(0)=(0+6)(0-2)\)
\(f(0)=(6)(-2)\)
\(f(0)=-12\) so this piece is under since -12 is negative and not positive.
So our solution includes the interval (-6,2).
*Plug in a number after 2 like 5.
\(f(x)=(x+6)(x-2)\)
\(f(5)=(5+6)(5-2)\)
\(f(5)=(11)(3)\)
\(f(5)=33\) so this piece is above since 33 is positive and not negative.
The answer only includes the interval (-6,2).
Solve the variable in the following equation: 5 + h = 11 − 2h
A. h = −1
B. h = 2
C. h = 5
D. h = 9
Answers
Answer: B. h = 2
Step-by-step explanation:
Given
5 + h = 11 - 2h
Add 2h on both sides
5 + h + 2h = 11 - 2h + 2h
5 + 3h = 11
Subtract 5 on both sides
5 + 3h - 5 = 11 - 5
3h = 6
Divide both sides by 3
3h / 3 = 6 / 3
h = 2
Hope this helps!! :)
Please let me know if you have any questions
Answer:
B) h=2
Step-by-step explanation:
5+h=11-2h
5+h-(-2h)=11
5+h+2h=11
5+3h=11
3h=11-5
3h=6
h=6/3
h=2
Stock prices for a certain company start at $12 per share an increase at a rate of
$2 per month. Write an equation of the function of the value of the stock price v,
as a function of the number of month that have passed, m.
Answers
Step-by-step explanation:
V = $12
M = The number of months
So, function = v + $2m
Lets take an Example = for example the stock price now is $20
V + $2m = $20
V = $12
So, 12 + $2m = 20
$2m = 20 - 12
$2m = 8
m = 8/2
m = 4
So this used we can easily find the number of months
Now let's try with the stock price only
The total now is $24
And 6 months passed
v + $2m = $24
v + $2(6) = $24
v + $12 = $24
v = $24 - $12
v = $12
So we got the same stock price
We found with this function the stock price as well as the number of months
Hope this answers ur question!
PLEASE HELP ME! I’ll give u brainlist
Answers
Answer:
Below.
Step-by-step explanation:
sin(34) = 0.5290826861 ≈ 0.5291
12 tan(63) = 2.036997025 ≈ 2.0370
5 cos(56) = 4.2661005386 ≈ 4.2661
The baseball team is raising money by selling cheesecakes. The players plan to sell an entire cheesecake for $24.00 each and slices of cheesecake for $3.50 each. If they want to raise at least $700, how many of each could
they sell?
Answers
Answer:
200 slices or 30 cakes
Step-by-step explanation:
Divide 700 by 3.5 = 200
Divide 700 by 24 = 29.16
Suppose a shoe company estimates that its monthly cost is
C(x) = 300c2 + 200c and its monthly revenue is
R(x) = -0.5x3 + 900x2 – 500x + 400, where x is in thousands of pairs
of shoes sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
O
A. P(x) = -0.5x3 + 600x2 – 700x + 400
B. P(2) = -0.5x3 + 1200x2 – 300x + 400
O C. P(x) = 0.523 + 60022 – 700.0 + 400
O D. P(x) = 0.523 – 600x2 + 700x – 400
PREVIOUS
I
Answers
Answer:
Hello,
Answer B
Step-by-step explanation:
\(C(x)=300*x^2+200*x\\\\R(x)=-0.5*x^3+900*x^2-500*x+400\\\\\\P(x)=R(x)-C(x)\\\\=-0.5*x^3+900*x^2-500*x+400-(300*x^2+200*x)\\\\=-0.5x^3+900x^2-300x^2-500x-200x+400\\\\=-0.5x^3+600x^2-700x+400\\\)
Which is the decimal form of
7/11 rounded to the nearest tenth?
Answers
Answer:
.6
Step-by-step explanation:
7/11 would be around .63, rounded to the nearest tenth is .6,
Answer:
The answer would be .6
Step-by-step explanation:
Hope this helps
In a village the number of houses and the number of flats are in the ration9:5 the number of flats and the number pf bungalows are in the ratio 10:3 there are 30 bungalows in the village. How many houses are there in the village?
Answers
Answer: 180 houses
Step-by-step explanation:
From the question, we are informed that in a village the number of houses and the number of flats are in the ratio 9:5 while the number of flats and the number of bungalows are in the ratio 10:3 and that there are 30 bungalows in the village.
Since the ratio of the number of flats and the number of bungalows are in the ratio 10:3 and there are 30 bungalows in the village, the number of flats will be:
= 10/3 × 30
= 10 × 10
= 100 flats
Since we are told that the ratio of the number of houses to the number of flats are in the ratio 9:5 and we've gotten the number of flats as 100, then the number of houses will be:
= 9/5 × 100
= 9 × 20
= 180 houses
Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?
A. p(x) and q(x) have the same domain and the same range.
B. p(x) and q(x) have the same domain but different ranges.
C. p(x) and q(x) have different domains but the same range.
D. p(x) and q(x) have different domains and different ranges.
Answers
The correct answer is B.
p(x) and q(x) have the same domain but different ranges.
Let's analyze the functions individually:
Function p(x) = 6 – x:
Domain: There are no restrictions on the values of x, so the domain of p(x) is all real numbers.
Range: As x increases, the value of 6 – x decreases. Therefore, the range of p(x) is also all real numbers.
Function q(x) = 6x:
Domain: Again, there are no restrictions on the values of x, so the domain of q(x) is all real numbers.
Range: As x increases, the value of 6x also increases.
Therefore, the range of q(x) is all real numbers greater than or equal to zero (0).
Since the ranges of p(x) and q(x) are different (all real numbers for p(x) and all real numbers greater than or equal to zero for q(x)), the correct answer is B. p(x) and q(x) have the same domain but different ranges.
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please help me ! geometry help needed. i would be so thankful.
Answers
Answer:
X=24
Step-by-step explanation:
122=5x+2
120=5x
24=x
2. Consider SAT scores for 2009 high school graduates which are approximately normal with a mean of 1050 and a standard deviation of 150. a.) The z-score of Jeff's SAT score is z=-1.75. This means Jeff's score is _-1.75___ standard deviations __Away____ the mean. b.) What percent of students did better than Jeff? What percent did worse?
Answers
Answer:
a.) The z-score of Jeff's SAT score is z=-1.75.
This means Jeff's score is 1.75 standard deviations below or away from the mean
b)
What percent of students did better than Jeff?
= 96% of the students did worse
What percent did worse?
= 4 % of the students did worse
Step-by-step explanation:
Consider SAT scores for 2009 high school graduates which are approximately normal with a mean of 1050 and a standard deviation of 150. a.) The z-score of Jeff's SAT score is z=-1.75.
This means Jeff's score is 1.75 standard deviations away from the mean.
b.)
The z-score of Jeff's SAT score is z=-1.75.
We have to find the percentile that Jeff is in by finding the probability of his z score using the z table
P(x<Z) = P(z = -1.75)
= 0.040059
Converting to percentage
= 0.040059 × 100
= 4.0059%
Approximately = 4%
Hence, Jeff is in the 4th percentile
This means Jeff scored higher than 4% of his colleagues
What percent of students did better than Jeff?
= 100 - 4%
= 96% of the students did better than Jeff.
What percent did worse?
4% of the students did worse
A grocery store sells a bag of 7 oranges for $2.80. What is the unit cost?
Answers
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
mark me as brilinist please
Answer:
.4
Step-by-step explanation:
2.80/7=.4
7 x 0.4 = 2.8
uppose v,w∈r3are orthogonal unit vectors. let u=v×w. show that w=u×v and v=w×u.
Answers
To show that w = u × v and v = w × u, we need to demonstrate that the cross product of vectors u and v yields the same result as the cross product of vectors w and u.
Given that u = v × w, let's calculate the cross product of w and u:
w × u = (u × v) × u
Since the cross product is not associative, we need to use the vector triple product identity:
w × u = u × (v × u) - (u · u) v
Since u is orthogonal to v, the dot product (u · v) is zero. Therefore, we can simplify the equation:
w × u = u × (v × u)
Next, let's calculate the cross product of v and u:
v × u = (u × v) × v
Using the vector triple product identity:
v × u = v × (u × v) + (v · v) u
Again, since u is orthogonal to v, the dot product (v · v) is zero:
v × u = v × (u × v)
Thus, we have shown that w = u × v and v = w × u, indicating that the cross products are equivalent in both directions.
In summary, when u, v, and w are orthogonal unit vectors, the cross product of u and v yields the same result as the cross product of w and u, as well as the cross product of v and w.
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