Order numbers from least to greatest: 4 3/4, -2 1/2, -8/3, 9/2
Answers
Answer:
-8/3 < -2 1/2 < 9/2 < 4 3/4
Step-by-step explanation:
-2.667 < -2.5 < 4.5 < 4.75
Related Questions
given two terms in an arithmetic sequence find the recursive formula
a 19 = -101 and a36 = -220 find a 29
Answers
Using this formula, we can find a1 by plugging in a19 (the 19th term) and n=19: a19 = a1 + (19-1)(d) => -101 = a1 + 18(-119/17), Simplifying this equation, we get: a29 = -33, the value of a29 is -33.
Given two terms in an arithmetic sequence, to find the recursive formula, we need to find the common difference of the sequence first. This can be found by using the formula: common difference (d) = (a36 - a19)/(36 - 19) = (-220 - (-101))/(36 - 19) = -119/17.
Next, we can use the recursive formula for arithmetic sequences which is: an = a1 + (n-1)dwhere an represents the nth term in the sequence, a1 represents the first term, and d is the common difference that we just found.Using this formula, we can find a1 by plugging in a19 (the 19th term) and n=19: a19 = a1 + (19-1)(d) => -101 = a1 + 18(-119/17).
Simplifying this equation, we get: a1 = -101 + (18)(119/17) = 7.Next, we can use the formula again to find a29 (the 29th term) by plugging in a1 and n=29: a29 = a1 + (29-1)(d) => a29 = 7 + 28(-119/17)Simplifying this equation, we get: a29 = -33Therefore, the value of a29 is -33. Answer: a29 = -33.
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The point P(x, y) lies on the terminal side of an angle 0 = –60° in standard position. What are the signs of the values of x and y?
Answers
Answer:
X is positive
Y is negative
Step-by-step explanation:
Just take the cos of angle - 60 for X
and also take the sin of angle - 60 for Y
You will find x positive, and y negative
Which is a graph for the inequality m > -2
Answers
A student in a big city lives on the 44th floor of her building. On rainy days, when she gets home from school, she takes the elevator all the way up to her floor. But on sunny days, she goes up to floor 20 and walks the rest of the way. Why?.
Answers
She is diminutive (a very, very small person). She can ask others to hit the top elevator buttons for him because he can't reach them. On rainy days, he presses the buttons with his umbrella.
What is a riddle?A statement, question, or phrase with a hidden or double meaning that is presented as a problem to be answered is called a riddle. Enigmas, which are difficulties typically presented in metaphorical or allegorical language that call for inventiveness and careful thought to solve, and conundra, which are questions that rely on puns in either the question or the answer, are two different forms of riddles.
Riddles from hundreds of various civilizations, including Finnish, Hungarian, American Indian, Chinese, Russian, Dutch, and Filipino sources, are cited by Archer Taylor in his statement that "we may definitely claim that riddling is a global art. Riddles and riddle motifs are common across the world.
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Using the same facts as #16, how long would it take to pay off 60% of the a. About 45 months b. About 50 months c. About 55 months d. About 37 months
Answers
To calculate how long it would take to pay off 60% of the debt,
we can use the same facts as in problem #16. Let's go through the steps:
1. Determine the total amount of debt: Find the original debt amount given in problem #16.
2. Calculate 60% of the debt: Multiply the total debt by 0.6 to find the amount that represents 60% of the debt.
3. Divide the amount obtained in step 2 by the monthly payment: This will give us the number of months it will take to pay off 60% of the debt.
Now, let's apply these steps to the options provided:
a. About 45 months: To determine if this is the correct answer, we need to perform the calculations outlined above using the original debt amount and the monthly payment given in problem #16.
b. About 50 months: Same as option a, perform the calculations using the original debt amount and the monthly payment.
c. About 55 months: Perform the calculations outlined above using the original debt amount and the monthly payment.
d. About 37 months: Perform the calculations outlined above using the original debt amount and the monthly payment.
After performing the calculations for each option, compare the results with the options provided to find the correct answer.
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Question : -6+(-6)+(-6)
Answers
-6-6-6
-6-6-6 (add values, keep the negative sign)
for what values of x is x2 2x = 24 true?–6 and –4–4 and 64 and –66 and 4
Answers
The correct answer is -6 and 4. The values of x for which the equation x^2 + 2x = 24 is true are x = 4 and x = -6.
To find the values of x for which the equation x^2 + 2x = 24 is true, we need to solve the equation.
First, we can rewrite the equation as x^2 + 2x - 24 = 0.
Next, we can factor the quadratic equation:
(x - 4)(x + 6) = 0
Setting each factor equal to zero and solving for x, we get:
x - 4 = 0 -> x = 4
x + 6 = 0 -> x = -6.
The values of x that satisfy the equation x^2 + 2x = 24 are x = 4 and x = -6.
Verifying these values by substituting them back into the equation:
For x = 4: 4^2 + 2(4) = 16 + 8 = 24 (True)
For x = -6: (-6)^2 + 2(-6) = 36 - 12 = 24 (True)
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An electrical shop reduces display goods by 20%. A display TV is sold for $360. What is the usual price of the same TV.
Answers
Answer:
450$
Step-by-step explanation:
100%-20%=80%
If 80% is 360$
20%=360$÷4
=90$
360$+90$=450$
a score of x = 70 on an exam with µ = 82 and σ = 8, or a score of x = 60 on an exam with µ = 72 and σ = 12?
Answers
A score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
To compare the two scores, we can convert them to z-scores, which tell us how many standard deviations a particular value is from the mean. The formula for z-score is:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
For the first score of x = 70 on an exam with μ = 82 and σ = 8, the z-score is:
z = (70 - 82) / 8 = -1.5
For the second score of x = 60 on an exam with μ = 72 and σ = 12, the z-score is:
z = (60 - 72) / 12 = -1.0
The z-score for the first score is lower than the z-score for the second score, which means that the first score is further below its mean than the second score is below its mean. Therefore, we can say that a score of x = 60 on an exam with μ = 72 and σ = 12 is comparatively better than a score of x = 70 on an exam with μ = 82 and σ = 8.
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6x>42 see do steps
pls help me
Answers
Answer:x>7
Step-by-step explanation:
1. 6x>42
2. 6x/6>42/6
3. x>7
Answer:
x<7
Step-by-step explanation:
6x<42
/6 on both sides to get x on its own
x<7
What two numbers multiply to 48 and add up to -49?
Answers
Answer:
-1 and -48 do these things
Which fraction is equivalent to 3/-5
Answers
Mr. Chan wants to sell some or all of his shares of stock in a company. He purchased the 90
shares for $0. 50 each last month, and the shares are now worth $3. 80 each. Write an inequality
which describes how much profit, p, Mr. Chan can make by selling his shares.
Answers
The profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.
To determine the profit Mr. Chan can make by selling his shares, we need to calculate the difference between the selling price and the purchase price of each share and then multiply it by the number of shares sold.
Let's denote the profit as 'p'. The selling price per share is $3.80, and the purchase price per share is $0.50. Mr. Chan has 90 shares.
The profit made from selling the shares can be calculated as:
Profit (p) = Selling Price per Share - Purchase Price per Share
Since Mr. Chan can sell any number of shares (from 0 to 90), we need to multiply the profit per share by the number of shares sold.
The inequality describing the profit Mr. Chan can make by selling his shares is:
p >= (Selling Price per Share - Purchase Price per Share) * Number of Shares
Substituting the given values:
p >= ($3.80 - $0.50) * 90
Simplifying the expression:
\(p\ ^ > _- $ 3.30 * 90\\p\ ^ > _- $297\)
Therefore, the inequality describing the profit Mr. Chan can make by selling his shares is p >= $297. This means that the profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.
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Ryan is nine years younger than two times his friend Peter's age. The sum of their
ages is greater than six.
What is the youngest age Peter can be? Give your answer as a whole number
The youngest age Peter can be is
years old.
Answers
Answer:
8
Step-by-step explanation:
Find the slope of the line.
Answers
Answer:
slope = 4
Step-by-step explanation:
What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answers
Answer:
V≈220.89cm³
Step-by-step explanation:
Answer: 220.9
4/3 π(3.75)^3=220.9
What’s the axis of symmetry?
Answers
Answer:
x = -1
Step-by-step explanation:
With the axis of symmetry, think of it as where you would slice this line in half, and both sides would look identical to each other. Since this is a quadratic function, this would be at where the vertex is.
The vertex is the part of the line where it "turns" around and starts going the other way. So vertex of this line is at (-1, 3).
Therefore, the axis of symmetry is at x = -1. This is since the function is pointing either up/down, and any value that is x = _ is a vertical line.
When the Better Builder Company completed a small construction job, they found that the following expenses had been incurred: labor, $672.25; gravel, $86.77; sand, $39.41; cement, $180.96; and bricks, $204.35. What total bill should they give the customer if they want to make a profit of $225 on the job?
Answers
Answer: 1372.33
Step-by-step explanation: add it all up
Addition can be defined as the process of adding two numbers. The total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
To make a profit the Better builder company needs to add all the expenses and the profit they need to make. Therefore, the sum can be written as,
Total Bil = $672.25 + $86.77 + $39.41 + $180.96 + $204.35 + $225
= $1408.74
Hence, the total bill Better Builder Company should give the customer if they want to make a profit of $225 on the job is $1408.74.
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a local dry cleaner interviewed 17 candidates for the positions of cashier, washer, salesperson, and delivery driver. how many ways can they fill the 4 positions? 57,120 2,300 68 21
Answers
The number of ways for filling 4 positions out 17 applicants is 57120
For the local dry cleaner 17 candidates were interviewed.
There are four positions available cashier, washer, salesperson, and delivery driver.
To calculate number of ways by which they can fill those 4 positions first we need to find the no of ways to select 4 candidates out of 17 candidates.
No of ways to select r candidates out of n
= nCr
=( n!) / (r!)(n-r)!
= 17!/( 4! ) ( 17-4)!
17Cr = 2380.
For assigning the four positions to the four candidates there are
17C4 x 4! ways.
So, The number of ways for filling 4 positions out 17 applicants = 2380 x 4!
The answer to this problem is 57120.
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T.True F.False While on your Limited Learner Permit (Level 1), you are required to keep a Driving Log and record a minimum of 60 hours of driving time.
Answers
It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1
How to determine the truth value?There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.
One of these requirements is that the driver must spend at least 60 hours driving.
This means that the minimum driving time is 60 hours
Hence, the statement is true
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The perimeter of the triangle below is 4x+3y Find the measure of the missing side.
the right side says x-y
the right side says x + y
Answers
Answer:
2x+3y
Step-by-step explanation:
you add up the known sides: (x-y)+(x+y) = 2x
Then you subtract the answer from the perimiter: 4x+3y-2x=2x+3y
( PLEASE ANSWER FAST !!!!!!! )
Patrick invested money into a special savers bank account.
Each year money in the account earns 4% interest.
After one year, the total amount of money in the account was £291.20
How much did Patrick invest?
Answers
Answer:
£280.0
Step-by-step explanation:
Given the following
Rate R= 4%
Time T = 1year
Amount = £291.20
Simple Interest I = ?
I = PRT/100
A = P+I
Since P = A-I
I = (A-I)RT/100
I = (291.2-I)RT/100
100I = (291.2-I)4
100I = 1,164.8-4I
104I = 1,164.8
I = 1,164.8/104
I = £11.2
Amount = P+I
Principal = A-I
P = 291.2-11.2
P = 280.0
Hence patrick invested £280.0
Additive inverse of 400
Answers
Given:
A number is 400.
To find:
The additive inverse of 400.
Solution:
We know that the sum of a number and its additive inverse is 0.
If "a" is number and "b" is its additive inverse, then
\(a+b=0\)
Let x be the additive inverse of 400. Then,
\(400+x=0\)
Subtract both sides by 400.
\(400+x-400=0-400\)
\(x=-400\)
Therefore, the additive inverse of 400 is \(-400\).
A line has a slope of 5 and y-intercept of -2. What is its equation in slope-intercept from? Write your answer using interfere, proper fraction and improper fractions in simplest form.
Y=_x - _
Answers
Answer:
y=5x-2
Step-by-step explanation:
Pablo wants to spend no more than $500 on
a new television. Which
inequality shows the amount he must save each month for 6 months to accomplish this? Option
A) 6x>500
B)6x<500
C)6x<500
D)x>500+6
Answers
When a researcher needs to estimate the likelihood of a certain outcome, the method typically employed is
A)Time series design
B)Predictive design
C)Experimental design
D)Qualitative design
Answers
The required method typically employed is C) Experimental design.
What is Likelihood?The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.
According to question:Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.
In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.
The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.
Thus, Suitable option is C)Experimental design.
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There are 10 number cards, numbered 1 - 10, what is the probability of randomly selecting an even number from the cards? Determine the likelihood of this event.The subject is math.
Answers
SOLUTION
Since they are 10 cards, the total possible outcome is 10.
There are five cards bearing even numbers. These are 2, 4, 6, 8 and 10
\(\begin{gathered} \text{Probability = }\frac{n\text{umber of outcomes}}{\text{total possible outcomes }} \\ \\ \text{Probability = }\frac{5}{10\text{ }} \\ \\ \text{= }\frac{1}{2} \end{gathered}\)what is the diameter of 12mm and 8mm
Answers
Answer:
diameter 12mm
Step-by-step explanation:
easy algebra question below first correct answer gets brainliest
Answers
Answer:
10
Step-by-step explanation:
We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.
The formula for Pythagoras Theorem =
c² = a² + b²
c = √a² + b²
Where c is the longest side
From the above diagram, we are looking for c
c = ?
a = 6
b = 8
Hence,
c = √6² + 8²
c = √36 + 64
c = √100
c = 10
Therefore, side c = 10
find the sum of the series. [infinity] (−1)n2n 42n(2n)! n = 0 [infinity] (−1)n2n 32n 1(2n)! n = 0 [infinity] (−1)n2n 4n(2n)! n = 0
Answers
The sum of the given series are:2(cos 2), cos 2 and 2cos 2.
Given series are:[infinity] (−1)n2n 42n(2n)! n = 0 [infinity] (−1)n2n 32n 1(2n)! n = 0 [infinity] (−1)n2n 4n(2n)! n = 0
To find the Sum of the above series.
To find the sum of the given series, we have to use the Maclaurin's expansion of cosx which is given as:
cos x = 1 - x2/2! + x4/4! - x6/6! + x8/8! - x10/10! + ...
For x = 2, we have cos 2 = 1 - 22/2! + 24/4! - 26/6! + 28/8! - ...
cos 2 = 1 - 2 + 4/24 - 16/720 + 256/40320 - ...
cos 2 = 1 - 2 + 1/6 - 1/45 + 1/1680 - ...
By simplifying the given series, we get:
Given series: [infinity] (−1)n2n 42n(2n)! n = 0
Sum = [42(cos 2)] / 2 = 2(cos 2)
Given series: [infinity] (−1)n2n 32n 1(2n)! n = 0
Sum = [32(cos 2)] / 2 = cos 2
Given series: [infinity] (−1)n2n 4n(2n)! n = 0
Sum = [4(cos 2)] / 2 = 2cos 2
Therefore, the sum of the given series are:2(cos 2), cos 2 and 2cos 2.
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