A function have just one output (y) for each input (x). A value of x cannot have different corresponding values of y.
Tables B, C and D have differnet values of y (outputs) to a value of x(input), those are not functions.
Table A has one output (y) for each input (x). As you can see the output (y) can be the same for two or more inputs (x). It is a function
When testing the iq of a group of adults, a researcher noticed that the correlation between iq and age was negative. Is this a guarantee that all younger people have higher iqs than older people?
The negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.
The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients. A positive association is shown by a linear correlation coefficient larger than zero. Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.
A positive correlation indicates that both variables move in the same direction when the correlation value is higher than 0. When is 1, it denotes a complete positive association between the two variables under comparison; when one variable rises or falls, the other one rises or falls in the same direction and by the same amount.
When the correlation coefficient is less than 0, there is a negative (inverse) correlation. This suggests that both variables are moving in the obverse direction. In essence, any reading between 0 and -1 denotes an opposing movement of the two securities. The connection is said to as fully negatively correlated when is equal to -1.
Thus, the negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.
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If m
15 points thanks you :)
Answer:
48
Step-by-step explanation:
check the attached file
if the machine can process 600 pretzels 15 minutes how long must the machine run in order to make 3120
Please help me show the workout and the type of angle .
Answer:
see explanation below
Step-by-step explanation:
1. the outside angle is 86o so the angle at vertex of triangle is 180 - 86 = 94o
Figure 1 is an isosceles triangle so 2x + 94 = 180
2x = 86
x = 43
P = 180 - 43 = 137
2. Supplementary angle to x = 180 - (65 + 45).
In other words, x = 65 + 45 = 110
3. I'm trying to solve the 3rd figure
Sum of angles: x + y + 90 + 100 = 360
x + y = 360 - 190
x + y = 170
without more information, I can't solve the 3rd figure
Marielle computed her table income last
year as $47 678 Over the year, she paid
$7 201 in federal withholding. Use the tax
table to find the amount of money
Marielle wil owe in additional taxes
If line 43 (taxable And you are
income) is single
At But less
least than
Your taxis
47 800 47,650 8,031
47 650 47,700 8,044
47,700 47,750 8,056
47.750 47 800
8,069
Answer:
843
Step-by-step explanation:
According to the tax table, she owes 8,044. She paid 7201.
additional amount owed is 8044-7201=843
Find the exact value of cos (2 tan^?1 (9/40 ). Draw and label the triangle used to help solve this problem.
The triangle has the exact value of cos(2 tan^-1(9/40)) is 1521/1681.
Let's draw a right triangle with the opposite side as 9 and the adjacent side as 40, and label the hypotenuse as h.
Then we have: tan(θ) = opposite/adjacent = 9/40
Using the Pythagorean theorem, we can find the value of the hypotenuse:
h^2 = 9^2 + 40^2
h^2 = 1681
h = 41
Now we can find the value of cos(2θ) using the double angle formula:
cos(2θ) = cos^2(θ) - sin^2(θ)
To find cos(θ), we can use the triangle we just drew:
cos(θ) = adjacent/hypotenuse = 40/41
sin(θ) = opposite/hypotenuse = 9/41
Substituting these values into the formula for cos(2θ), we have:
cos(2θ) = cos^2(θ) - sin^2(θ)
cos(2θ) = (40/41)^2 - (9/41)^2
cos(2θ) = 1521/1681
Therefore, the exact value of cos(2 tan^-1(9/40)) is 1521/1681.
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The sum of the positive divisors of a positive integer of the form $2^i3^j$ is equal to $600$. What is $i j$
The only possible values of ij are 2 and 6.
Let \($n=2^i3^j$\) be a positive integer of the given form, and let \($\sigma(n)$\)denote the sum of the positive divisors of n. The sum of the divisors of n can be expressed as \($(1 + 2 + \cdots + 2^i)(1 + 3 + \cdots + 3^j)$\), which simplifies to \($\frac{2^{i+1}-1}{2-1} \cdot \frac{3^{j+1}-1}{3-1} = 2^{i+1} \cdot \frac{3^{j+1}-1}{2\cdot 3 - 2}$.\)
Since \($\sigma(n) = 600$\), we have \($2^{i+1} \cdot \frac{3^{j+1}-1}{2\cdot 3 - 2} = 600$\), which simplifies to \($2^{i+1} \cdot 5 \cdot (3^{j}+1) = 600$\). Since \(2^{i+1}$ and $5$\) are both powers of primes, it follows that \($3^j + 1$\) is a divisor of 120. Checking the divisors of 120, we find that\($3^j + 1$\) can only be equal to \(2, 4, 6, 10,$ or $16$.\)
If \($3^j + 1 = 2$\), then \($j = 0$\), but n cannot be written in the given form. If \($3^j + 1 = 4$\), then \($j = 1$\), and i can be any integer greater than or equal to 2; thus, \($ij = 2$\). If \($3^j + 1 = 6$\), then \($j = 1$\), but n cannot be written in the given form. If \($3^j + 1 = 10$\), then \($j = 2$\), but n cannot be written in the given form. Finally, if \($3^j + 1 = 16$\), then j = 2 and i = 3, giving \($ij = 6$\).
Therefore, the only possible values of ij are 2 and 6.
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Mt. etna is now 11,013 feet tall after growing 100 feet. what was the percent change in its height, rounded to the nearest tenth?
Answer:
0.9%
Step-by-step explanation:
The percentage change is found by multiplying the fractional change by 100%. The fractional change is the change amount divided by the original amount.
__
change in height = 100/11013 × 100% ≈ 0.0090802 × 100% ≈ 0.9%
−5(1+5)=−6−24
helppppppppppppppppppppp
Answer:
-30=-30
Step-by-step explanation:
Always true.
find the derivative of f(x) = ln √x + √In x
Answer:
\(f(x)=in (\sqrt{x} )+\sqrt{in}(x)\\f'(x)=\frac{d}{dx} (in(\sqrt{x} +\sqrt{in}(x)\\\\\\f'(x)=\frac{d}{dx} (in(\sqrt{x} ))+\frac{d}{dx}(\sqrt{in}(x)\\\\ f'(x)=\frac{1}{\sqrt{x} }*\frac{1}{\sqrt[2]{x} } +\frac{1}{\sqrt[2]{in}(x)*\frac{1}{x} } \\\\ f'(x)=\frac{\sqrt{in}(x)+1 }{\sqrt[2x]{in}(x) }\)1:use the differentiation rules
2:find the derivative
3:simplfy
4:solution
PLEASE I NEED HELP WITH D AND E PLEASE I'LLGIVE BRAINLIEST THANK YOU SO MUCH
The radical expressions when evaluated are
(c) √5 ÷ √3x² = √15/3x
(d) 4√b ÷ (√3 - b) = [4√(3b) + 4b]/[3 - b²]
(e) [3√(a²)/√3 ÷ 2a³⁺²] = √(3a)/2a
Evaluating the radical expressionsFrom the question, we have the following parameters that can be used in our computation:
√5 ÷ √3x²
So, we have
√5 ÷ x√3
Rationalize
√5/x√3 * √3/√3
Evaluate
√15/3x
Next, we have
4√b ÷ (√3 - b)
Rationalize
4√b/(√3 - b) * (√3 + b)/ (√3 + b)
So, we have
[4√(3b) + 4b]/[3 - b²]
Next, we have
[3√(a²)/√3 ÷ 2a³⁺²]
So, we have
[a√3 ÷ 2a³⁺²]
This gives
[a√3 ÷ 2a√a]
Rationalize
[a√3 ÷ 2a√a] * [√a ÷ √a]
So, we have
[a√3a ÷ 2a²]
Divide
√(3a)/2a
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a) 9 to the power of minus 1 over 2 (9^-1/2)
b) 27 to the power of minus 2 over 3 (27^-2/3)
Step-by-step explanation:
a) 9^-½
= (1/9)^½
= (√1)/(√9)
= 1/3
=0.333....
b). 27^-⅔
= (1/27)^⅔
=(³√1)²/(³√27)²
=1/9
=0.111.....
=
Prove that if x^2 ≡ n (mod 65) has a solution, then so does x^2 ≡ -n (mod 65).
Note: PLEASE provide a proper proof. Simply providing an example isnt a sufficient proof.
As we consider that \(x^2\) ≡ n (mod 65) has a solution. By getting \(x^2\) + n ≡ 0 (mod 65) we prove that \(x^2\) ≡ -n (mod 65).
Assuming that \(x^2\) ≡ n (mod 65) has a solution, it means that n is a quadratic residue modulo 65.
In other words, if y is an integer, then it exists \(y^2\) ≡ n (mod 65). We can write \(y^2\) = n + 65k for some integer k.
Now, we want to show that \(x^2\) ≡ -n (mod 65) also has a solution.
by substituting \(y^2\) - 65k for n in \(x^2\) ≡ n (mod 65), we get:
=> \(x^2\) ≡ \(y^2\) - 65k (mod 65)
Rearranging this equation, we get:
=> \(x^2\) + 65k ≡ \(y^2\) (mod 65)
As \(y^2\) ≡ n (mod 65), we can substitute n for \(y^2\) to get:
=> \(x^2\) + 65k ≡ n (mod 65)
multiplying by -1 on both sides, we get:
=> \(x^2\) - 65k ≡ -n (mod 65)
By adding n on both sides,
=> \(x^2\) - 65k + n ≡ 0 (mod 65)
By adding 65k to both sides,
=> \(x^2\) + n + 65k ≡ 65k (mod 65)
By simplifying the left-hand side,
=> \(x^2\) + n ≡ 0 (mod 65)
Which is equivalent to:
=> \(x^2\) ≡ -n (mod 65)
So, if \(x^2\) ≡ n (mod 65) has a solution, then so, \(x^2\) ≡ -n (mod 65).
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What is the equation of the line that is parallel to the
given line and passes through the point (-4,-6 )?
Ox=-6
OX=-4
O y=-6
O y=-4
The equation of the line passing through the point (-4,-6) and parallel to the provided line is y=-6.
How to find the equation of a line?To find the equation of a line that is parallel to a given line and passes through a given point, we need to use the fact that parallel lines have the same slope.
The slope of the line connecting the coordinates (x₁, y₁) and (x₂, y₂)
m=y₂-y₁/x₂-x₁
The angle formed by the line connecting (-8, 4) and (8, 4)
m=4-4/8+8
=0
The slope is 0, the parallel line will similarly have zero slopes.
Now consider the equation of the parallel line running through (-4, -6).
Let's locate the y-intercept.
-6=-4(0)+b
-6=b
Consequently, the equation of the given line will be y=-6.
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you have fifteen slices of bread and five servings of peanut butter. how many sandwiches can you make
Answer: 5
Step-by-step explanation:
15 odd number
closest even is 14
14/2 =7 but you only have 5 servings of PB
so its 5
answerrrrrr plssss ill giveee brainliesttttt
\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)
Drag each equation to show if it could be a correct first step to solving the equation
3(x+8)=42.
(3-2)+(3-8)= 42
Yes
DRAG AND
DROP ITEMS
3x + 24 = 42
3x+8 = 42
No
x + 24 = 42
DRAG AND
DROP ITEMS
HERE
CLEAR
2+8=14 3(z+8)=126
Not Enough Information
CHECK
DRAG-AND
DROP ITEMS
HERE
The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.
How to solve a linear equation?A linear equation is one that contains a variable such as " x " instead of something like x 2. Linear equations can be written as x + 6 = 4 or 2 a - 3 = 7.To answer an equation, in general, you need to get the variable on its own by undoing whatever operations that have been applied to it.Step 1. Unambiguous fractions or decimals.Step 2. Remove parentheses and combine like terms to optimize evey side of the equation.Step 3. Isolate this same variable term by putting it on one of the equation's sides.Step 4. Divide each of the equation's sides to solve the equation.Step 5. Examine your solution.For the given equation;
3(x+8) = 42
The first step will be to open the parenthesis, and multiply each term with 3.
(3×x)+(3×8) = 42.
Thus, the first step to solve the linear equation is (3×x)+(3×8) = 42.
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A town has a small theater for weekend community plays and musicals. Each weekend, the theater can sell a total of 761 tickets for their performances. What is the maximum number of tickets the theater can sell in 1 year (1 year = 52 weeks)?
761 times 52 = blank
The maximum number of tickets the theater can sell is
tickets.
The maximum number of tickets the theater can sell is 39,572.
The maximum number means the greatest amount of something possible.
The theater sale each weekend is 761 tickets.
There are eight weekend days in a month and in case the month starts with a Saturday or a Sunday there can be an additional weekend.
To calculate the maximum number of tickets the theater can sell in 1 year, we can multiply the maximum number of tickets sold per weekend by the number of weekends in a year, which is 52.
So, 761 tickets x 52 weekends = 39,572 tickets
Therefore, the maximum number of tickets the theater can sell in 1 year is 39,572 tickets.
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According to the United States Census Bureau, on September 1, 2014, the population of the
United States was increasing by 1 person every 12 seconds. At this rate, by how much would the
population of the United States increase in 1 year?
Answer:
2,628,000 people per year.
Step-by-step explanation:
1 person every 12 seconds. There are 60 seconds in 1 minute. So, there are 60 / 12 = 5 people every minute.
There are 60 minutes in an hour. 5 * 60 = 300 people per hour.
There are 24 hours in a day. 24 * 300 = 7,200 people per day.
There are 365 days per year. 7,200 * 365 = 2,628,000 people per year.
Hope this helps!
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve?
If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
What is demand curve?Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.
The price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line
Therefore how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
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56:14 Espen predicted that he would sell 32 baseball caps, but he actually sold 29 baseball caps. Which expression would find the percent error? Use the table below to help answer the question. Percent Error Exact value Approximate value 32 Error Ratio Item Baseball caps Percent error Absolute error 3 29 3 3 (100) 29 ( 3 0 32 (100) O 32 3 29
Answer:
Your answer is A.
Step-by-step explanation:
The expression that finds the percent error is (3 / 32) * 100.
Option B is the correct answer.
We have,
To find the percent error in this situation, we can use the following expression:
Percent Error = (|Predicted Value - Actual Value| / Predicted Value) * 100
In this case, the predicted value is 32 baseball caps, and the actual value is 29 baseball caps.
Plugging these values into the expression, we get:
Percent Error = (|32 - 29| / 32) * 100
Simplifying further:
Percent Error = (3 / 32) * 100
Thus,
The expression that finds the percent error is (3 / 32) * 100.
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wo linear equations in two variables have no solution. the equations are
a. Coincide
b. Cut the x-axis
c. Do not intersect at any point
d. Intersect only at a point
Smith & Johnson produces a variety of men’s clothing. Their highest selling items are their fitted dress shirts. The profit earned from the sale of these shirts can be modeled by the expression -20x2+1,800x, where x is the price of one dress shirt. If p is the maximum profit earned from the sale of the dress shirts, write an equation that shows how the expression can be rewritten to model the price at which the shirts should be set in order to maximize profit.
Answer:
P=x(-x+90)Step-by-step explanation:
Step one:
given
Price
\(P= -20x^2+1800x\)
where P is the maximum profit
x is the price of one shirt
Step two:
To rewrite the expression let us first divide through by 20
\(P= \frac{-20x^2}{20} +\frac{1800x }{20}\\\\P=-x^2+90x\)
Factoring x out we have
\(P=-x^2+90x\\\\P=x(-x+90)\)
Hence the rewritten expression equation for the price is
P=x(-x+90)
help pls will mark brainliest if it is correct, its not 72.
Answer:
52
Step-by-step explanation:
Answer:
52
Step-by-step explanation:
The top has 6 faces, so 6 x 2 = 12
The bottom has the same, 12
The left side has 3, 3 x 2 = 6
The front and inside has 6, x 2 = 12
The right side has 2 x 2 = 4
The back has 3 x 2 = 6
12 + 12 + 6 + 12 + 4 + 6 = 52
What is the value of the angle marked with x?
Answer:
x = 146°
Step-by-step explanation:
The given shape is a Rhombus. In rhombus, adjacent angles are supplementary.
x + 34 = 180°
Subtract 34 from both sides,
x = 180 - 34
x = 146°
Nina has one job babysitting another job walking dogs. Each week she babysits for 21 hours and walk stocks for nine hours Sharon $7.50 per hour for dog walking. She earns $1.50 more per hour for babysitting them for dog walking there are 4 1/2 weeks in the month of July. What is the best estimate for the total amount of money Nina earns in July.
Answers :
$250
$750
$1200
$1500
Answer:
The best estimate for her earnings is $1200
Step-by-step explanation:
Number of time spent babysitting each week = 21 hours = BBS
Number of time spent dog walking each week = 9 hours = DW
She earns $7.50 per hour for dog walking,
She earns $(7.50+1.50) = $9 for baby sitting,
There are 4 1/2 weeks = 9/2 weeks in July,
Now, for each week she earns 21(9) = $189 from baby sitting
and 9(7.5) = $67.5 from dog walking,
So, for the month of July, i.e. 9/2 weeks, she earns,
9/2(189) = $ 850.5 from baby sitting,
and (9/2)(67.5) = $303.75 from dog walking,
In total for the month, she earns,
850.5 + 303.75 = $1154.25
Hence the best estimate for her earnings is $1200
If p=180−0.2D, calculate the optimal profit if the total cost is $30,500.
To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.
To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:
Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).
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7. call a positive integer an uphill integer if every digit is strictly greater than the previous digit. for example, 1357,89 , and 5 are all uphill integers, but 32,1240, and 466 are not. how many uphill integers are divisible by 15 ?
Answer:
6
Step-by-step explanation:
You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.
Divisible by 15An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.
An integer is divisible by 3 if the sum of its digits is divisible by 3
Uphill integersAn uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...
{5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}
Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.
The uphill integers that end in 5 are ...
5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345
Divisible by 3We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...
15, 45, 135, 345, 1245, 12345
There are 6 uphill integers divisible by 15.
help me find th area of this
Answer:
but how to help
Step-by-step explanation:
Answer:
explain more
Step-by-step explanation:
136
f(x) = x + 13. Find the inverse of f(x).
O A. f '(x) = (x+13)
O B. f '(x) = x3 + 13
O c. f '(x) = 23 – 13
O D. f '(x) = (2 – 13)"
SUBMI
The answer should be x-13