Using proportions, it is found that the equivalent of this American currency at that time was of 210.91 dollars.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Researching on the internet, in October 2020, the rate was that each euro was worth 1.1717 dollars, hence the equivalent of this American currency at that time was of:
E = 180 x 1.1717 = 210.91 dollars.
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All numbers that have 5 as a factor also have 2 as a factor.
O A. True
OB. False
The statement that all numbers that have 5 as a factor also have 2 as a factor is false, as numbers ending in 5 have five as a factor but are odd numbers, meaning that they do not have two is a factor.
What are the factors of a number?The factors of a number are the numbers by which the number is divisible.
Hence the numbers that have 2 and 5 as factors as the multiples, given as follows:
Multiples of 2: {0, 2, 4, ..., } -> all even numbers.Multiples of 5: {0, 5, 10, ...} -> all numbers finishing in 0 or 5.Numbers that finish in 5 are odd, meaning that they do not have 2 is a factor, hence the statement is false.
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What does it mean to the rise over run when the slope is an integer?
a.
the rise number is one
c.
the run part of the slope is going to be one
b.
the run number is always negative
d.
there will be no slope
Answer: I think it’s C.
sorry if it’s wrong❣️.
Amad said, "3n is always greater than n + 3." Do you agree with him?
O Yes, because multiplication always gives a larger answer than addition.
O Yes, because n must be a positive number.
O No, because multiplication is not the opposite of addition.
O No, because 3n could be equal to or less than n + 3.
Submit
No, because 3n could be equal to or less than n + 3.
Therefore, the last option is the correct answer.
Amad's statement is not true as when n ≤ 3/2, 3n ≤ n + 3.
Given:
According to Amad, "3n is always greater than n + 3."
We can prove this statement false by using a counterexample easily,
For instance, n = 2/3
So, 3n = 2
And n + 3 = 2/3 + 3 = 11/3
Here, we can see that 3n is not always greater than n + 3.
If, 3n ≤ n + 3
3n - n ≤ 3
2n ≤ 3
n ≤ 3/2
Hence, when n ≤ 3/2
3n ≤ n + 3
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help ASAP DUE in 10 minutes do not spam or you will get reported A farmer wants to increase the area of his rectangular pen but keep the pen a rectangular shape. He decides to add 5.7 yards of fencing to the width of the pen, but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Answer:
The one you have selected is correct. 9.5(w+5.7)=77.9
Step-by-step explanation:
Area is length x width, but the length is the same. So, the 9.5 is not in the parentheses. The existing width (w) is having 5.7 yards added on before being multiplied for area calculations. Because of the order of operations, (w+5.7) must be in parentheses so it is done before multiplication.
Answer:
9.5(w+5.7)=77.9
Step-by-step explanation:
took the test
The parent function f(x) = x² is vertically stretched by a factor of 2 and
translated 7 units right and then translated 5 units up.
g(x) = 2(x-7)² - 5 is the function formed when parent function f(x) = x² is vertically stretched by a factor of 2 and translated 7 units right and then translated 5 units up.
What is stretch and translation ?
A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.
Assuming, right and up are positive directions.
The given parent function, f(x) = x² is vertically stretched by a factor of 2 and translated 7 units right and then translated 5 units up.
Let g(x) be the function when the parent function is stretched by a scale factor of 2 and translated 7 units right and then translated 5 units up.
1) vertex form is: a(x - k)² + h
2) stretch by a factor of 2, then a= 2
3) translated 7 units to the right, then k = 7
4) translated up by 5 unit, then h = 5
5) g(x) = 2(x-7)² - 5
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Larry's father had to travel 385 miles to a work project. If he left at 8 A.M., travelling at a speed of 55 mph, how far would he be by noon?
Answer:
220 miles
Step-by-step explanation:
Given the following data;
Distance = 385 miles
Take-off time = 8 AM
Speed = 55 mph
To find how far would he be by noon;
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the formula;
\(Speed = \frac{distance}{time}\)
Making time the subject of formula, we have;
\(Time = \frac{distance}{speed}\)
Substituting into the equation, we have;
\(Time = \frac{385}{55}\)
Time = 7 hours
This ultimately implies that, he covers 55 miles per hour.
Next, we would determine how far he would be by noon.
Noon = 12 PM
By noon, time = 12 - 8 = 4 hours
Distance = speed * time
Distance = 55 * 4
Distance = 220 miles
Therefore, Larry's father would have covered a distance of 220 miles by noon.
I need some help with this
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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cot(sin-1) square rootx2
The algebric expression \(cot(sin^{(-1)}\sqrt{(x^2}\)simplifies to sqrt(1 - |x|^2) / |x|.
The expression "cot(sin^(-1)(sqrt(x^2)))" involves trigonometric and square root functions. Let's break it down step by step to simplify the expression.
Inside the square root: x^2.
The square root of x^2 is |x| (the absolute value of x), as the square root eliminates the square and keeps the positive value.
The expression sin^(-1)(sqrt(x^2)) is equivalent to arcsin(sqrt(x^2)).
Since we already know that the square root of x^2 is |x|, we can rewrite the expression as arcsin(|x|).
Now, we have cot(arcsin(|x|)).
The cotangent (cot) of an angle is equal to the reciprocal of the tangent (tan) of the same angle.
So, cot(arcsin(|x|)) can be written as 1 / tan(arcsin(|x|)).
Using the inverse trigonometric identity, tan(arcsin(x)) = x / sqrt(1 - x^2), we can simplify further.
In our case, x = |x|.
Therefore, tan(arcsin(|x|)) = |x| / sqrt(1 - |x|^2).
Substituting this result back into the expression, we have 1 / (|x| / sqrt(1 - |x|^2)).
To divide by a fraction, we multiply by its reciprocal.
Hence, the final simplification of the expression is sqrt(1 - |x|^2) / |x|.
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Any help with this question kinda
brained
y = 1/3x -1
x-intercept (3,0)
How did they get this answer? Somebody please help
Answer:
Step-by-step explanation:
x-intercept is where the line cuts the x-axis. That is, when y=0.
Substitute y=0 and we get:
\(0=\frac{1}{3} x-1\)
\(1=\frac{1}{3} x\)
\(x=3\)
So x-intercept is the point (3,0).
some points plus brainliest
Answer:
ok... thanks for that.... may god bless you....
wishing u r happy and ur health is okay
Step-by-step explanation:
brainliest plz
AC is 9.1 centimeters and BC is 4.2 centimeters. Find AB
Answer:
AB = 4.9cm
Step-by-step explanation:
We know
AC is 9.1 centimeters, and BC is 4.2 centimeters.
Find AB
We take
9.1 - 4.2 = 4.9cm
So, AB = 4.9cm
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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Rackham Graduate School has 8,000 students (5,000 PhD students and 3,000 masters stu- dents). The Rackham Student Government Executive Board has 4 student members: a President, a VP of Operations, a VP of Finance, and a VP of Administration. Reminder: no need to simplify your answers in this homework (unless problem explicitly says to).
a) How many ways are there to choose the Exec Board from all Rackham students?
b) How many ways are there to choose the Exec Board so that there is at least one masters student and one PhD student? (for any of the 4 positions)
c) How many ways are there to choose the Exec Board if the VP positions have to be PhD students (the president can be either a PhD or Masters student)?
d) How many ways are there to choose the Exec Board so that there is at least one masters student VP?
Answer:
a) 8,000!/(8000 - 4)! ways
b) 15,000,000 + 7998!/(7998 - 2)! ways
c) 5,000 + 7,999!/(7,999- 3)! ways
d) 3,000 + 7,999!/(7,999- 3)! ways
Step-by-step explanation:
The number of students at Rackham Graduate School = 8,000 students
The number of PhD students = 5,000
The number of masters students = 3,000
The number of student members of the Rackham Student Government Executive Board = 4 students
a) The number of ways there are to choose the Exec Board from all Rackham students = The number of ways to choose 4 students from 8,000 = 8,000!/(8000 - 4)!
b) The number of ways of having one Master student in the board = 3,000 ways
The number of ways of having one PhD student in the board after selecting a masters student = 5,000 ways
The number of ways of selecting the remaining 2 members =
7998!/(7998 - 2)!
The total number of ways of selecting at least one masters and one PhD in the board is therefore equal to 5,000 × 3,000 + 7998!/(7998 - 2)! ways
c) The number of ways of choosing the VP position as PhD = 5,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 5,000 + 7,999!/(7,999- 3)! ways
d) The number of ways of choosing a masters student as the VP position = 3,000 ways
The number of ways of choosing the other three members = 7,999!/(8000 - 3)!
Therefore, the total number of ways = 3,000 + 7,999!/(7,999- 3)! ways
21. Which equation can you use to find the value of x? (y + 2.3) cm K K. T 7 cm ( (2.5x)" H A. O 2.5x = 180 B.O 2.5x = 90 C.O 2.5x = 60 D. O 2.3x = 60
Answer:
2.5x = 180
Step-by-step explanation:
106 ° + X° = 180 °
Solving the above
X° = 180 ° - 106°
X° = 74°
Therefore the value of X° is 2.5°.
B is the correct option
Please help urgent thank you
If he wants an average of 84, he needs to get at least 93 points.
What score does he need to get in the next test?Remember that the average value between 3 values A, B, and C is:
(A + B + C)/3
Here we know that the first two scores are 76 and 83 points, let's say that the third score is x, if we want to have an average of 84 or more, then we need to solve:
(76 + 83 + x)/3 = 84
159 + x = 252
x = 252 - 159
x = 93
So he needs to get at least 93 points in the next exam.
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Lisa works as a tutor at Springfield high school. She can work up to 20 hours a week and gets paid $15 dollars an hour. Find a reasonable domain and range for Lisa’s possible weekly earnings.
i need help asap please help worth alot points
There are 24 question in the picture. We have to solve the problem by multiplication and division.
Given that,
There are 24 question in the picture.
We have to find the multiplication and division for the given question.
Multiplication condition:
Plus multiply minus is equal to minus
Plus multiply plus is equal to plus
Minus multiply minus is equal to plus
Minus multiply plus is equal to minus
Division condition:
Plus divided by minus is minus
Plus divided by plus is plus
Minus divided by minus is plus
Minus divided by plus is minus
1. -2×5= -10
2. -16÷-8= 2
3. 60÷-5= -12
4. 11×-1= -11
5. 18÷-2= -9
6. 28÷-4= -7
7. 7×-8= -56
8. -8×11= -88
9. -70×-3= 210
10. -60÷-2= 30
11. 8×-90= -720
12. -80÷40= -2
13. 300÷-6= -50
14. -80×50= -4000
15. -200÷40= -5
16. -70×-60= 4200
17. -3×2= -6
18. -16÷-4= 4
19. 5×-6= -30
20. 12÷-3= -4
21. -18÷6= -3
22. 7×9= 63
23. -60÷-6= 10
24. -8×-5= 40
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PLEASE HELP who knows the answer to this?
Answer:
a.
Step-by-step explanation:
The Bureau of Transportation Statistics Omnibus Household Survey is conducted annually and serves as an information source for the U.S. Department of Transportation. In one part of the survey the person being interviewed was asked to respond to the following statement: "Drivers of motor vehicles should be allowed to talk on a hand-held cell phone while driving." Possible responses were strongly agree, some what agree, some what disagree, and strongly disagree. Forty-four respondents said that they strongly agree with this statement, said that they some what agree, said they some what disagree, and said they strongly disagree with this statement.
Required:
a. Do the responses for this statement provide categorical or quantitative data?
b. Would it make more sense to use averages or percentages as a summary of the responses for this statement?
c. What percentage of respondents strongly agree with allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?
d. Do the results indicate general support for or against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving?
Step-by-step explanation:
a. It would provide a quantitative data
b. Yes, it would make more sense to use percentages rather than averages as this is estimating a proportion.
c. 44% of the respondents strongly agree
d. the results do not indicate general support for or against allowing drivers of motor vehicles to talk on a hand-held cell phone while driving as the only respondents will be those that agree with the researchers claim and the study will be biased against those who do not agree.
How does the US tax policy encourage long-term investments?
A.
by making long-term investments tax exempt
B.
by making Treasury bonds tax exempt
C.
by making it illegal to earn short-term gains
D.
by providing a lower tax rate for long-term gains
Answer: its D
Step-by-step explanation
Long Term Capital Gains Taxes tend to be lower than short term
Answer: D by providing a lower tax rate for long-term gains
Based upon these results, how many two-dozen tulip arrangements should the florist expect to sell if it anticipates 4,600 more customers?
Without additional details, we cannot determine the number of two-dozen tulip arrangements the florist should expect to sell with the anticipated 4,600 more customers.
To determine the number of two-dozen tulip arrangements the florist should expect to sell if they anticipate 4,600 more customers, we need to examine the given results and make a reasonable assumption based on the available information.
Unfortunately, the given results or information regarding the number of tulip arrangements sold or the relationship between customers and sales are not provided. Without this data, it is not possible to accurately estimate the number of arrangements that will be sold with an additional 4,600 customers.
To make an accurate prediction, we would need more information such as the average number of tulip arrangements sold per customer or any patterns or trends observed in the sales data.
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10.045+2.673+105.95 to the nearest whole number and then estimate the sum
Answer:
119
Step-by-step explanation:
The nearest whole numbers from those listed are
10
3
106
The estimated sum = 119
The actual sum is 118.668
When you are doing a test, being able to estimate is a very powerful skill. 119 is close enough to the actual answer that you know your actual answer is likely correct.
A tennis player hits a ball hard and 0.4 s later hears the echo sound from a wall. The speed of sound in air is 330 ms. How
?far away is the player from the wall
The distance traveled by the echo is used to determine the player's distance from the wall
The player's distance from the wall is 66 m.
Reason:
Known parameter;
The time after which the tennis player hears the echo of the ball, t = 0.4 s
The speed of sound in air, v = 330 m/s
The distance of the player from the wall = Required
Solution:
Let d, represent the distance of the player from the wall
An echo is the reflection the wave of the sound of hitting the ball that
travels to the wall and back
The distance traveled by the sound to the wall, d, and back, (d again), is 2·d
\(Speed = \dfrac{Distance}{Time}\)
Therefore;
\(The \ speed \ of \ the \ sound,\ v = \dfrac{2 \cdot d}{t}\)Therefore;
\(330 = \dfrac{2 \cdot d}{0.4}\)
330 × 0.4 = 2·d
\(d = \dfrac{330 \times 0.4}{2} = 66\)
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I need help solving this
Given
Radius : 6 cmTo find
Area of the semicirclewe know that
Area of a semicircle = πr²/2Inserting the value of radius
Area of the given semicircle = (3.14 x 6cm x 6cm)/2 Area of the given semicircle = 113.04cm²/2 Area of the given semicircle = 56.5 cm²Dana is making bean soup. The recipe she has makes 10 servings and uses
3/4
of a pound of beans. How many total pounds of beans does she need to make 5 servings of soup?
She has
1/16
of a pound of beans in one container and
1/4
of a pound of beans in another container. How many more pounds of beans does Dana need to make the 5 servings of soup? Show your work or explain your answer.
a library has 67,982 books. the children's section represents 1/3 of the total books. of the remaining books, 75% are fiction. how many books are in the non-fiction section?
Answer:
11331 non fiction books
Step-by-step explanation:
Given :
Total books = 67982
Childrens section = 1/3 of total
Number of children's books :
(1/3 * 67982) = 22660 books (approximately)
Books left :
67982 - 22660 = 45,322 books
Fiction books:
75% of remaining
0.75 * 45322
33991.5
= 33991 books
If the only section left is non - fiction, then
Non - fiction books = (45322 - 33991) = 11331
Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Divide Using Synthetic Division
The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
What is polynomial?A polynomial is an expression consisting of variable and coefficient and are used to model real world situation it is an equation of degree greater than one where the exponents of the variables can be any non-negative integer for example the polynomial equation x 2 + 3x + 2 represent a parable of windcraft polynomial are used in name variety of field such as mathematics and physics.
The process of synthetic division is used to divide polynomials of the form ax^n + bx^n-1 + ... + c, where a is the coefficient of the highest power of the variable x.
To divide -3 into the polynomial 1 8 9 -18 0, the following steps should be taken:
Step 1: Line up the divisor, -3, to the left of the polynomial, as shown below:
-3 | 1 8 9 -18 0
Step 2: Bring down the first coefficient in the polynomial, which is 1, and place it directly below the -3.
-3 | 1 8 9 -18 0
-3
Step 3: Multiply the -3 by the first coefficient and place the result in the next row, directly below the 8.
-3 | 1 8 9 -18 0
-3
-3
Step 4: Add the result to the 8, and place the new result in the next row.
-3 | 1 8 9 -18 0
-3
-3
5
Step 5: Repeat steps 3 and 4 for each coefficient in the polynomial.
-3 | 1 8 9 -18 0
-3
-3
5
-15
-15
18
Step 6: The result of the synthetic division is the final row. In this case, the result is -3, 5, -15, 18.
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Complete questions as follows-
Divide Using Synthetic Division
-3|1 8 9 -18 0