y = x
Explanation:
When tracing a a line y=x, from any graph it's inverse will be a symmetry to this line, because if (a,b) is a point on the graph of function f then (b,a) is a point on the graph of its inverse.
How can we represent 9 less than the number m?
Answer:
m-9
Step-by-step explanation:
i hope this helps :)
Answer:
B: m-9
Step-by-step explanation:
if a person (call them drew) boards the ferris wheel from the bottom (ground level, ignoring seat height), how high off the ground is drew after she has traveled 150 feet around the wheel? suppose another person (call them matteo) gets on the wheel. it rotates until matteo is 218.1 ft above the ground. how many feet did matteo travel around the wheel?
Drew is at a height of 349.4 feet off the ground on the Ferris wheel after traveling 150 feet from the bottom. Matteo traveled 91.4 feet around the wheel to reach a height of 218.1 feet.
To find Drew's height, we can use the Pythagorean theorem: the radius of the Ferris wheel is the hypotenuse, and the distance Drew traveled plus her height off the ground is the other leg.
√(150² + r²) = r + h
h = √(150² + r²) - r
where r is the radius of the Ferris wheel and h is Drew's height off the ground.
To find the value of r, we can use the fact that Drew's height off the ground at the top of the Ferris wheel is twice her height off the ground at the bottom.
So, h = 2r - h
r = 2h/3.
Substituting r = 2h/3 into the equation for h that we found earlier
h = √(150² + (2h/3)²) - 2h/3.
Solving for h, we get h = 349.4 feet.
To find how far Matteo traveled around the wheel, we can use a similar approach. Let d be the distance Matteo traveled and r be the radius of the Ferris wheel.
√(d² + r²) = 218.1 + r.
d = √(218.1² + r²) - r.
Using the value of r that we found earlier (r = 2h/3), we can substitute and solve for d to get d = 91.4 feet.
Therefore, Drew's height on the Ferris wheel is 349.4 feet after traveling 150 feet from the bottom, while Matteo traveled 91.4 feet around the wheel to reach a height of 218.1 feet.
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The standard error of the sample proportion will become larger...
----
A. as the sample size increases
B. as population proportion approaches 0.50
C. as population proportion approaches 1.00
D. as population proportion approaches 0.
The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.
The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.
As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.
On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.
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Change the following fraction to a decimal. (Carry the division for three places as indicated. Do not round your answer.)
1/64 =
1/64 fraction is equal to 0.015625 in decimal form.
To change the fraction 1/64 to a decimal, we need to perform division.
1 divided by 64 can be written as:
0.015625
----------
64 | 1.000000
0
10
0
The result of the division is 0.015625. This means that 1/64 is equal to 0.015625 in decimal form.
Note that in this case, we carried the division out to six decimal places, but the question specified that we should carry it out to three decimal places. In that case, we would round the answer to 0.016.
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hey guys, can someone help me with this question? it’s due today by midnight
Answer:
4L + 8H = 512 (First answer)
You can take 92 low resolution pictures (second answer)
Step-by-step explanation:
Let L represent the number of low resolution pictures you take and H the number of high resolution pictures you can take.
You only have 512 megabytes.
Therefore, the number of megabytes the low resolution pictures you take plus the amount of megabytes the high rsolution you take in total should be 512
Therefore your equation is:
4L + 8H = 512 (First answer)
You took 18 high resolution pictures, so substitute 18 for H
4L+8(18) = 512
4L+144=512
subtract 144 on both sides
4L=368
divide by 4
L= 92
You can take 92 low resolution pictures
Hope this helps!
A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 blueberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).
This question is incomplete because it was a details in the question was not written correctly.
Complete Question:
A sundae requires 2 ice-cream scoops and 4 raspberries, and a milkshake requires 3 ice-cream scoops and 5 raspberries. Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries. Let S denote the number of sundaes she makes and M the number of milkshakes she makes. Write an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS).
Answer:
An inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:
2S + 3M ≤ 80
Step-by-step explanation:
From the above question, we are told that:
Let S denote the number of sundaes Laila makes
M the number of milkshakes
a) A sundae requires 2 ice-cream scoops and 4 raspberries
A sundae = 2S and 4S
b) A milkshake requires 3 ice-cream scoops and 5 raspberries.
A milk shake = 3M and 5M
Laila wants to sell sundaes and milkshakes with at most 80 ice-cream scoops and 150 raspberries .
Therefore, an inequality that represents the condition based on the number of (ICE-CREAM SCOOPS) is given as:
2 ice cream scoops + 3 ice cream scoops ≤ 80
2S + 3M ≤ 80
Solve the equation.
2x^3-50x=0
Answer:
x= -5, 0, 5
2x(x^2-25)=0
x(x^2-25)=0
x=0
x^2-25=0
x=-5
x=5
Carlos needs to save an additional $565 before he can purchase a car for his son he plans to save $25 each week at this rate at the end of how many full weeks will he have enough money to purchase the car
Given:
Savings for each week = $25
Amount required before Carlos purchase a car = $565
To find:
The number of full weeks in which he will have enough money to purchase the car.
Solution:
Let the required number of weeks be x.
Savings for 1 week = $25
Savings for x week = $25x
Savings must be greater than equal to $565 to purchase the car.
\(25x\geq 565\)
Divide both sides by 25.
\(x\geq \dfrac{565}{25}\)
\(x\geq 22.6\)
So, the smallest possible integer value of x is 23.
Therefore, 23 week are required to have enough money to purchase the car.
of 800 students in a university, 360, or 45%, live in the dormitories. the 800 is an example of .
Of 800 students in a university, 360, or 45%, live in dormitories. the 800 is an example of population size. Population size is a number that represents the total quantity of a particular group of items or people.
In this case, the population size is 800 students in a university. This population size is used to calculate the percentage of students who live in the dormitories. In this example, the percentage of students who live in the dormitories is 45% or 360 students. Population size can be used to analyze different trends or patterns within a group of people.
For example, if the university wanted to determine the number of students who commute from home, they could use the population size of 800 students to calculate the percentage of students who commute from home. Similarly, the university could use the population size to calculate the percentage of students who live off-campus. Population size can also be used to track changes over time.
For example, if the university wanted to determine if the number of students living in the dormitories had increased or decreased since last year, they could compare the current population size of 800 students with the population size from the previous year.
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How many degress is angle BHA?
Answer:
90°
Step-by-step explanation:
follow the tangent rule.
which two numbers differ by 43?
46,53,89,21,48,47 and 32...
Among the given numbers (46, 53, 89, 21, 48, 47, and 32), two numbers differ by 43 units.
To find the two numbers that differ by 43, we can compare each pair of numbers and check if their difference is equal to 43.
Pair-wise differences:
46 - 53 = -7
46 - 89 = -43
46 - 21 = 25
46 - 48 = -2
46 - 47 = -1
46 - 32 = 14
53 - 89 = -36
53 - 21 = 32
53 - 48 = 5
53 - 47 = 6
53 - 32 = 21
89 - 21 = 68
89 - 48 = 41
89 - 47 = 42
89 - 32 = 57
21 - 48 = -27
21 - 47 = -26
21 - 32 = -11
48 - 47 = 1
48 - 32 = 16
47 - 32 = 15
From the calculations, we can see that the numbers 46 and 89 differ by 43 units. Therefore, among the given numbers, 46 and 89 are the two numbers that differ by 43.
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darwin's geometric ratio of increase pertains specifically to
Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.
In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.
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Sean flipped a coin 100 times and got heads 47 times. He concludes that the probability of getting
heads on a flip of his coin is 0.47. What method did Sean use? a) O Speculative b) OSubjective c) O Theoretical
d) O Relative Frequency e) ONone of the above
The correct answer is (d) Relative Frequency.
Sean used the method of Relative Frequency to conclude that the probability of getting heads on a flip of his coin is 0.47.
The method of Relative Frequency involves conducting a series of experiments or observations and calculating the ratio of the number of times an event occurs to the total number of trials.
In this case, Sean flipped the coin 100 times and got heads 47 times. The relative frequency of getting heads is then calculated as 47/100, which is equal to 0.47 or 47%.
By using the method of Relative Frequency, Sean is making an inference about the probability of getting heads based on his observed data.
This method is empirical in nature and relies on actual observations or experiments rather than theoretical calculations or personal beliefs. It provides an estimate of the probability based on real-world data.
Therefore, the correct answer is (d) Relative Frequency.
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ine f: z → z by the rule f(n) = 2 − 3n, for each integer n. (i) is f one-to-one? suppose n1 and n2 are any integers, such that f(n1) = f(n2). substituting from the definition of f gives that 2 − 3n1 =
To determine if function f is one-to-one using the given terms "integer" and "one-to-one," we will consider the function f: Z → Z defined by the rule f(n) = 2 - 3n for each integer n. and we will see that since n1 equals n2 when f(n1) = f(n2), the function f is one-to-one.
A function is one-to-one (or injective) if each input value corresponds to a unique output value. In other words, if f(n1) = f(n2), then n1 must equal n2.
Suppose n1 and n2 are any integers such that f(n1) = f(n2). Substituting from the definition of f gives: 2 - 3n1 = 2 - 3n2
Now, let's solve for n1 and n2 step by step:
Step:1. Subtract 2 from both sides of the equation:
-3n1 = -3n2
Step:2. Divide both sides by -3:
n1 = n2
Since n1 equals n2 when f(n1) = f(n2), the function f is one-to-one.
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What is 1+1+1+1+11+1+1+1+11+1x0+1?
The value of the expression 1+1+1+1+11+1+1+1+11+1x0+1 is 30.
To evaluate the given expression, we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we perform the multiplication: 1x0 = 0. The expression now becomes 1+1+1+1+11+1+1+1+11+0+1.
Next, we perform the addition and subtraction operations from left to right: 1+1 = 2, 2+1 = 3, 3+1 = 4, 4+11 = 15, 15+1 = 16, 16+1 = 17, 17+1 = 18, 18+11 = 29, 29+0 = 29, and finally 29+1 = 30
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PLEASE GIVE BRAINLIEST <33
Answer:
The answer is 30
Step-by-step explanation:
First we'll start with PEMDAS
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
We'll start with multiplication: 1x0=0
Now the equation is: 1 + 1 + 1 + 1 + 11 + 1 + 1 + 1 + 11 + 1
Since we have two sets of 11, it would equal 22
Now the equation is: 22 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
We have eight sets of 1. Adding them all together would equal 8.
Now the equation is: 22 + 8 which would equal 30
Select the correct answer.
Which graph shows the solution region of this system of inequalities?
y ≥3(0.8)^x
y ≥ x² - 5
The solution to the inequality are the region in the shaded area and the graph is attached
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
y ≥3(0.8)^x
y ≥ x² - 5
Represent properly
y ≥ 3(0.8)^x
y ≥ x² - 5
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, one of the coordinates in the shaded area has a coordinate of (0, 5)
None of the options represent the shaded area (see attachment)
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At the city museum, child admission is $5.40 and adult admission is $9.40. On Tuesday, three times as many adult tickets as child tickets were sold, for a total
sales of $974.40. How many child tickets were sold that day?
The number of tickets sold will be equal to 29.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the number of child tickets that were sold
Let y represent the number of adult tickets that were sold
5.30x +9.40y= 1206
The number of adult tickets sold was three times greater than the number of child tickets,
y= 3x
Substitute 3x for y in the equation,
5.40x + 9.40y= 974.40
5.40x + 9.40(3x)= 974.40
5.40x + 28.2x= 974.40
33.6x= 974.40
Divide both sides by the coefficient of x which is 33.5,
x= 974.40/33.6
x = 29
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Need help with these 2
Thank you
Also, giving a lot of point because I've asked for a lot of help already only need these last 2
Answer:
19 is 38x - 3y - 34
20 would be yes
find the radian measure of an angle at the center of a circle with radius 77.0 cm that intercepts an arc length of 128 cm
The radian measure of the angle at the center of the circle is approximately 1.6623 radians.
We are given that the radius of the circle is 77.0 cm and the length of the intercepted arc is 128 cm. We need to find the radian measure of the angle at the center of the circle.
To solve this problem, we use the formula relating the angle at the center of a circle, the radius of the circle, and the arc length intercepted by the angle.
The formula is given byθ = s/rwhereθ = angle at the center of the circle in radians s = arc length intercepted by the angle r = radius of the circle Substituting the given values, we getθ = 128/77.0 = 1.6623 radians (rounded to four decimal places)
Therefore, the radian measure of the angle at the center of the circle is approximately 1.6623 radians.
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In Central City, Elm Street and Maple Street are parallel to one another. Oak Street crosses both Elm Street and Maple Street as shown.Tell whether each statement is True or False.
Answer:
a. True, because they are corresponding angles.
b. False, because angles 1 and 2 are supplementary, meaning that they add up to 180 degrees, but 125 + 65 = 190 degrees.
c. True, because they are corresponding angles.
d. True, becuase they are two angles that add up to 180 degrees.
e. True, because they are both interior angles on opposite sides of the transversal.
Answer:
a. True.
b. False.
c. True.
d. True.
e. True.
Step-by-step explanation:
a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.
b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.
c. This statement is true because angles 5 and 1 correspond to each other.
d. This statement is true because angles 7 and 8 form a straight line.
e. This statement is true because they are interior angles that are alternate.
Hope this helps!
Please identify the error
8 - (-2) = -8 +2 = -6
which value makes the inequality true?
2x - 4 < 32
A) 20
B) 30
C) 25
D) 15
Have you done it cause I also need help???
calculate the absolute value of 4 + 7i is equal to the square root of____.
Answer:
\(\sqrt{65}\)
Step-by-step explanation:
the absolute value of the complex number a + bi is
| a + bi | = \(\sqrt{a^2+b^2}\)
then
| 4 + 7i | = \(\sqrt{4^2+7^2}\) = \(\sqrt{16+49}\) = \(\sqrt{65}\)
Todd made a table to show different plans he can use to save $500. Complete the table. Which plan can Todd use to save $500 in less than 16 weeks and have $20 extra? Explain how you found your answer
Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
In plan A,
Plans for saving = $500
Amount of saving each week = $20
∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)
= 25
In plan B,
Plans for saving = $500
Amount of saving each week = $30
∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)
= 17
In plan C,
Plans for saving = $500
Amount of saving each week = $40
∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)
= 13
In plan D,
Plans for saving = $500
Amount of saving each week = $50
∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)
= 10
So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.
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What is 3 1/2 + (-6) - (-1 1/2-9 3\4 ) simplified?
Answer:
8.75
Add everything together
The question is a photo
And thank you for your help.
Ok so if 1 cm= 9.7 miles
and we have 4 cm
we can multiply 4 by 9.7 (4 x 9.7)= ANSWER IS 38.8
-------------------------------------------------------------------------------------------
Another way u can think is if 1 cm= 9.7 miles
and there is 4 cm
we can add 9.7 four times to get our answer
ANSWER=38.8
se the given conditions. tan(u) = −3/4, 3/2 < u < 2 (a) determine the quadrant in which u/2 lies.
To determine the quadrant in which u/2 lies, we need to first find the quadrant where u lies. Given that tan(u) = -3/4 and 3/2 < u < 2, u is in the third quadrant. Now, to find the quadrant of u/2, we can divide the bounds by 2:
(3/2)/2 < u/2 < 2/2
3/4 < u/2 < 1
These conditions indicate that u/2 lies in the first quadrant.
Given conditions are :tan(u) = -3/4, 3/2 < u < 2We need to determine the quadrant in which u/2 lies.Tan is negative in 2nd and 4th quadrants. So, angle lies in either 2nd or 4th quadrants as 3/2 < u < 2 (i.e., second quadrant).But if angle lies in second quadrant then u/2 would lie in third quadrant, which is not possible. Therefore, angle lies in 4th quadrant. Hence, angle u = tan⁻¹(-3/4) ≈ -36.87°So, u/2 = -36.87/2 ≈ -18.43°The quadrant in which u/2 lies is the fourth quadrant.
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"Complete questions"
Use the given conditions. tan(u) = -3/4, 3π/2 < U <2n (a) Determine the quadrant in which u/2 lies. Quadrant I Quadrant II Quadrant III Quadrant IV Nice! (b) Find the exact values .
solve |x+6| - 7 = 8
plzzzzzz
Answer:
X=9
Step-by-step explanation:
9+6=15
15-7=8
Absolute value equals a positive
What is the value of Z?
Answer:
21
Step-by-step explanation:
Answer:
The first option is the answer
Is this sentence true or false? 2(x+8) = 2x - 8
Answer:
FALSE
Step-by-step explanation:
Applying the distributive property on the left side gives ...
2x +16 = 2x -8
Subtracting 2x from both sides gives ...
16 = -8 . . . . a FALSE statement
The given statement is false.
_____
When an algebraic equation is transformed according to the properties of equality, the truth of it does not change.