I'm pretty sure the answer is number 2.
Answer:
b
Step-by-step explanation:
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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TJ Maxx is offering a 20% discount on all items. The
new price of a pair of jeans is $44. What was the
original price?
Write the percent as a fraction in simplest form.
36% =
Answer:
36%= 9/25 in fraction form (:
Answer:
36/100 sorry if wrong
Step-by-step explanation:
translated 1 unit right and five units down
Answer:
y'=|x-5|-1
Step-by-step explanation:
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2 + ( − 5 ) + 1 5 + ( − 3 )
Answer:
9
Step-by-step explanation:
\(2 + ( - 5) + 15 + ( - 3)\)
\(2 - 5 + 15 - 3\)
Add the negative and the positive numbers seperately:
\(17 - 8 = 9\)
Point D is the centroid of ABC, BD = 4x + 2 and DF = 3x . Find the value of x .
If point D is the centroid, then the value of x = 1.
What is centroid?The center of the thing is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together. A line connecting a side's midpoint and the triangle's opposite vertex is called the median. According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.
Given that, D is the centroid of ABC.
BD = 4x + 2, and
DF = 3x
BF = BD + DF = 4x + 2 + 3x = 7x + 2.
According to the centroid theorem of triangle we have:
BD = 2/3 (BF)
Substitute the values:
4x + 2 = 2/3(7x + 2)
3(4x + 2) = 2(7x + 2)
12x + 6 = 14x + 4
2 = 2x
x = 1
Hence, if point D is the centroid then the value of x = 1.
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Mr. Thomas has some erasers. When he gives 4 erasers or
5 erasers to each student, he has 2 erasers left. There are no
erasers left when he gives 6 erasers to each student. What is the least number of erasers Mr. Thomas could have?
Answer:
2 is the answer to this question
The least number of erasers Mr. Thomas could have is 6.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of students = S
Number of erasers Thomas has = E
When he gives 4 or 5 erasers to each student, he has 2 erasers left.
This can be written as:
E - 4S = 2 _____(A)
E - 5S = 2 ______(B)
There are no erasers left when he gives 6 erasers to each student.
This can be written as:
E - 6S = 0 ______(2)
From (2) we get,
E = 6S _____(3)
Putting (3) in (A).
E - 4S = 2
6S - 4S = 2
2S = 2
S = 1 _______(4)
Putting (3) in (B).
E - 5S = 2
6S - 5S = 2
S = 2 _____(5)
Putting (4) in (3)
E = 6 x 1 = 6
Putting (5) in (3)
E = 6 x 2 = 12
We have two cases:
When E = 12 and S = 2
When E = 6 and S = 1
The least number of erasers is 6.
Thus,
The least number of erasers Mr. Thomas could have is 6.
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How do you simplify 48/200
Answer:
6/25
Step-by-step explanation:
all you need to do is to look for common factors of both the numerator and the denominator and you keep on breaking it down
For any positive integer n, the value of n! is the product of the first n positive integers. For example, 4! = 4 * 3 * 2 * 1 =24. What is the greatest common divisor of 5! and 7! ?
The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.
the greatest common divisor of 5! and 7! is 120.
To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.
First, let's calculate the values of 5! and 7!:
5! = 5 * 4 * 3 * 2 * 1 = 120
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040
Now, let's factorize both numbers:
Factorizing 120:
120 = 2^3 * 3 * 5
Factorizing 5,040:
5,040 = 2^4 * 3^2 * 5 * 7
To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).
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Sara reduced the time it takes her to run a mile from 12 minutes to 8 minutes. Which is closest to Sara's percent decrease in the time it takes her to run a mile?
Answer:
33%
Step-by-step explanation:
Given the figure below .find X and Y to three significant digits.Write your answer in the answer box provided below
Check the picture below.
Make sure your calculator is in Degree mode.
\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)
Laura, a sandwich maker, produces 80 sandwiches on average per day. How many sandwiches will she produce in pdays?Number of sandwiches =
Number of sandwiches = 80p
Explanation:Given:
Laura produces 80 sandwiches per day
To find:
The number of sandwiches that will be produced in p days
1 day = 80 sandwiches
p days = 80 × p
p days = 80p
This means that she will produce 80p number of sandwiches in p days
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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An item on sale costs 20% of the original price. If the original price was $50, what is the sale price?
Answer:
Sale Price: $40
Step-by-step explanation:
This means the cost of the item to you is $40. You will pay $40 for a item with original price of $50 when discounted 20%. In this example, if you buy an item at $50 with 20% discount, you will pay 50 - 10 = 40 dollars.
The sale price of an item on sale with 20% off will be $40.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A thing marked down costs 20% of the first cost. In the event that the first cost was $50.
Let 'x' be the sale price. Then we have
20% = [(50 - x) / 50] x 100
Simplify the equation, then we have
20% = [(50 - x) / 50] x 100
0.20 = (50 - x) / 50
10 = 50 - x
x = 50 - 10
x = $40
The deal cost of a thing marked down with 20% off will be $40.
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Select the correct answer.
Consider the function below.
х
-1
0
1
2
fx)
-2.
3
8
00
13
Which of the following functions could be the Inverse of function ?
A.
Х
-2
3
00
8
13
g(x)
-1
0
1
2
B.
Х
-2
-3
-8
-13
1
0
-1
-2
OC.
х
-1
0.
1
2
p(x)
2.
-3
-8
-13
D.
х
1
0
-1
-2
s(X)
-2
3
3
00
8
13
Answer:
A
Step-by-step explanation:
i pick that answer because u have yo flip the number around
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find the inverse of the function, we need to switch the x and y variables, and then solve for y.
So, we start by writing the function in terms of y:
y = f(x) = {-2, 3, 8, 13} corresponding to x = {-1, 0, 1, 2}
Now we switch the x and y variables:
x = f(y) = {-2, 3, 8, 13} corresponding to y = {-1, 0, 1, 2}
Next, we solve for y:
For x = -2, y = -1
For x = 3, y = 0
For x = 8, y = 1
For x = 13, y = 2
Therefore,
The inverse of the function is:
f^-1(x) = {-1, 0, 1, 2} corresponding to x = {-2, 3, 8, 13}
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lukes house is located at the point shown on the coordinate grid. kyles house is located 4 units left and 2 units up from lukes house plot a point on the coordinate grid to represent the location of kyles house.
The coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the Coordinates of Luke's house on the coordinate grid.
The grid representing Kyle's house. However, based on the given information, we can determine the coordinates of Kyle's house relative to Luke's house.
If Luke's house is located at the point (x, y), then Kyle's house is located 4 units to the left of Luke's house, which means the x-coordinate of Kyle's house is (x - 4). Similarly, Kyle's house is located 2 units up from Luke's house, which means the y-coordinate of Kyle's house is (y + 2).
Therefore, the coordinates of Kyle's house would be (x - 4, y + 2) relative to Luke's house, where x and y represent the coordinates of Luke's house on the coordinate grid.
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need help pleaseeeeeeeeee
The value g(7) of the function g(x) = 7 / 8 x - 1 / 2 is 45 / 8.
How to solve function?A function relates each element of a set with exactly one element of another set (possibly the same set).
In a simpler term, a function relates an input to an output.
Therefore, let's find the value of g(7) for the function below:
g(x) = 7 / 8 x - 1 / 2
Hence,
g(7) = 7 / 8 (7) - 1 / 2
g(7) = 49 / 8 - 1 / 2
g(7) = 49 - 4 / 8
Therefore,
g(7) = 45 / 8
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multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
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Which equation can maya use to find how much of the project she painted in all
Answer:
D
Step-by-step explanation:
3
a =
b =
5
Work out a-2b as a column vector.
Answer:
Please see attached photo.
Step-by-step explanation:
Step 1:
Analyze what was given
Step 2:
Calculate 2b.
Step 3:
Carryout the operation a – 2b
Please attached photo for explanation
What is the run of y= 1/4x-3
Answer:
The 'run' must be 4.Step-by-step explanation:
We know that:
Slope formula = Rise/RunSlope = m = 1/4Let's compare with the slope in the equation and the slope formula.
Rise/Run = 1/4=> Run = 4Hence, the 'run' must be 4.
Hoped this helped.
\(BrainiacUser1357\)
A pension fund manager is considering three mutual funds The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.3%. The probability distributions of the risky funds are:Expected Return Standard DeviationStock fund (S) 14% 43%Bond fund (B) 7% 37%The correlation between the fund returns is .0459What is the reward-to-volatility ratio of the best feasible CAL?
For the correlation between the fund returns is .0459, the reward-to-volatility ratio of the best feasible CAL is equals to 0.1621 or 16.21%.
A probability distribution is helps to determine the future what frequency distribution is to the past. Standard deviation is used in the concept of risk of portfolio of investment. Risk refer to the dispersion of a probability distribution.
Stock fund (S) Bond fund (B)
Expected Return 14% 7%
Standard Deviation 43% 37%
Risk-free returns , Rf = 5.3%
Correlation coefficient = 0.459
Covariance : 0.459 = COV(s,b)/0.43×0.37
Covariance = 0.073
Stock Fund =( (σB)²− σS× σB× correationco, SandB)/((σS)²(σB)² - 2 × σS× σB× correationco, SandB)
= ((0.37)²− 0.43× 0.37× 0.0459) /((0.43)²(0.37)² −2× 0.43× 0.37× 0.0459)
Weight of S = 42.18%
Weight of B = 1 - 42.18 = 57.82%
Expected Return of the portfolio (Rp) = WS× E(RS) + WB × E(RB) = 42.18 × 14% + 57.82 × 7%
= 5.90 + 4.05 = 9.95
Standard Deviation of the portfolio (SDp)
= (WS²SD² + WB²× lSD²+ 2WS WBCov(S,B))1/2
= 28.68
Reward to volatility = (Expected return - Rf) / SD of Portfolio
= (9.95- 5.3) / 28.68
=0.1621
Hence, the required volatility is 0.1621 or 16.21%.
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Match the following expression to the correct problem
Column A
1. ___ thirteen times a number squared
2. ___ a number times eleven plus thirty-three
3. ___ twelve less than a number
4. ___ The quotient of a number and twenty
Column B
A. 11n + 33
B. p ÷ 20
C. y - 12
D. 13b^2
Example: 1. ___ D: 13b^2
the cοrrect expressiοns are, 1)Thirteen times a number squared - D)
2)A number times eleven plus thirty-three - A) 11n + 33
3) Twelve less than a number - C) y - 12
4)The quοtient οf a number and twenty - B) p ÷ 20
What is expressiοn?Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn, and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn. There are nο symbοls fοr equality οr inequality in it.
Here we need to convert given statement into expression. Then,
1)thirteen times a number squared
=> 13\(\times b^2\) = \(13b^2\)
2) a number times eleven plus thirty-three
=> 11 times of number+ 33
=> 11*n+33
=> 11n+33
3) twelve less than a number
=> number -12
=> y-12
4)The quotient of a number and twenty
=> p/20
=> p ÷ 20
Hence the correct expressions are,
1)Thirteen times a number squared - D) \(13b^2\)
2)A number times eleven plus thirty-three - A) 11n + 33
3) Twelve less than a number - C) y - 12
4)The quotient of a number and twenty - B) p ÷ 20
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Graph the numbers -0.2, 7/10, -1, √2, and -4 on a number line.
-8 -7, -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8
Answer:
Step-by-step explanation:
I need help please! this is on EDGE2020 !
Answer:
D
Step-by-step explanation
A. there are 6 triangles so not this
B. Only 2 rectangles
C. 6 triangles once again
D. everything matches
Answer:
for every 6 triangles there are 2 rectangles
Robert and Makayla are on the student council at their high school. They both
want to go to a dinner where student council representatives from other
schools will participate. However, only one student per school can go. How
can a fair decision be made about who goes to the dinner?
Select all that apply.
A. Ten cards have different numbers. Each student picks a card at
random. The student who picks the lower number wins.
B. Roll a number cube. If it lands on 1, 2, 3, or 4, Robert wins.
Otherwise, Makayla wins.
C. Give the students a math problem. The student who is first to
solve the problem wins.
D. Toss a coin twice. If both tosses are heads or both tosses are
tails, Makayla wins. If one is heads and one is tails, Robert wins.
Answer:
A and D
Step-by-step explanation:
It just is
The methods to make a fair decision is option A and D.
What is Probability?Probability is the measure of likeliness of an event to happen, each event is given a fair chance.
The methods to make fair decision can be:
Ten cards have different numbers. Each student picks a card at random. The student who picks the lower number wins. : Fair, as both will have equal chance of winning.
Roll a number cube. If it lands on 1, 2, 3, or 4, Robert wins. : Not fair, as Robert has more chances to win.
Give the students a math problem. The student who is first to solve the problem wins.: Not fair, as both the students can have different aptitude for maths.
Toss a coin twice. If both tosses are heads or both tosses are tails, Makayla wins. If one is heads and one is tails, Robert wins. : Fair, as both have equal chances to win.
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Complete the table shown to the right for the half life of a certain radioactive substance.
Decay rate:1.5% per year=-0.015
The half life is ___ years
Given:
Decay rate: 1.5% per year = -0.015
To find:
The half life.
Solution:
The continuous exponential decay function is
\(A(t)=Ae^{-kt}\)
where, a is initial value, -k is decay rate and t is time period.
For half life, \(A(t)=\dfrac{A}{2}\),
\(\dfrac{A}{2}=Ae^{-0.015t}\)
Dividing both sides by A.
\(\dfrac{1}{2}=e^{-0.015t}\)
Taking natural log on both sides.
\(\ln \dfrac{1}{2}=\ln e^{-0.015t}\)
\(-0.69314718=-0.015t\)
Divide both sides by -0.015.
\(\dfrac{-0.69314718}{-0.015}=t\)
\(46.209812 =t\)
\(t\approx 46\)
Therefore, the half life is 46 years.
Arlene has to unpack 4 1/2 boxes of canned pineapple juice. He unpacked 1/4 of them.
How many boxes are still unpacked?
Making observations often involves:
A. forming a hypothesis, finding answers, and planning experiments.
OB. forming a hypothesis, asking questions, and writing articles.
C. asking questions, identifying problems, and gaining new
information.
D. finding ansers, making predictions, and identifying problems.
The correct statement is C. asking questions, identifying problems, and gaining new information is the most accurate option.
What is observation?The definition of "observation" given by Merriam-Webster is "an act of recognizing and noting a fact or occurrence often involving measurement with instruments," or "a record or description so obtained."
C. asking questions, identifying problems, and gaining new information is the most accurate option.
Making observations often involves the process of asking questions, identifying problems, and gaining new information. Observations are made to gather data and information about a phenomenon or event, which can then be used to answer questions or develop hypotheses for further research.
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