Answer:
14x. ....................
3.1 Which basic property of operations was used in each of the following
calculations?
3.1.1 25 x 4 = 4 x 25 = 100
3.1.2 412 412 412 + (-412) = 0
3.1.3 25 +37
-
=
= 20 + 5+ 30+7
= 20 +30 +5+7
= 50+ 12 = 62
3.1.1 The basic property of operations used is the commutative property of multiplication.
3.1.2 The basic property of operations used is the additive inverse property.
3.1.3 The basic property of operations used is the associative property of addition.
3.1.1 The basic property of operations used in this calculation is the commutative property of multiplication. It states that the order of the factors in a multiplication problem can be rearranged without changing the product. In this case, the numbers 25 and 4 were swapped, resulting in the same product of 100.
3.1.2 The basic property of operations used in this calculation is the additive inverse property. It states that for any number, there exists an additive inverse such that when the number and its additive inverse are added together, the result is zero. In this case, adding 412 and its additive inverse (-412) results in zero.
3.1.3 The basic property of operations used in this calculation is the associative property of addition. It states that the grouping of numbers being added does not affect the sum. In this case, the numbers 25, 37, 20, 5, 30, and 7 were regrouped to facilitate easier mental addition. By grouping 25 and 37, and then grouping 20, 5, 30, and 7, the final sum of 62 is obtained, which is the same as adding all the numbers together in the original order.
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Ben wants to sell popcorn. He investigates the surface area and volume of popcorn containers. One popcorn container is a rectangular prism with a lid. Here is the net of the rectangular prism. Each square in the diagram represents a 1-inch square. What is the surface area of this popcorn container?
I need help pls how do u do this step by step? ):
It is A (45). Hope this helps!
Can a triangle be formed with side lengths 6, 9, 12? Explain. No. because 12 - 9 < 6 Yes, becausc 6 + 9 > 12 Yes, because 12 - 9 < 6 No, because 6 + 9 > 12
Answer:
Yes, because \(6+9>12\)
Step-by-step explanation:
Since the given lengths satisfy the triangle inequality, a triangle can be made.
Answer:
Yes. Because, add the 6 and 9 together which is 15, that is more than 12.
Step-by-step explanation:
6+9=15
15>12
3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
What is 0.00784 rounded to 2 significants figures?
Answer:
0.0078
Step-by-step explanation:
What is 0.00784 rounded to 2 significant figures?
Because 0's to the right of the decimal are not significant your first two significant figures are 7 and 8. So rounded to two significant figures:
0.0078
The number 0.00784 rounded to 2 significant figures is 0.0078.
What are Significant Figures?Significant figures of a given number are the numbers or digits which are significant and it conveys the accurate meaning of the digit.
Given decimal number is 0.00784.
We have to round the number to 2 significant figures.
For that, look at the first non zero digit from the left.
It is the number 7.
Since the number must be in 2 significant figures, look at the next number, it is 8.
Since the number next to 8 is 4, which is less than 5, leave 8 as such.
So the number rounded is 0.0078.
Hence the required number rounded to is 0.0078.
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0.139 times what number could get me to 100? PLEASE ANSWER, I NEED THIS ASAP
0.139 x ? = 100.
100 = 0.139
sorry
Step-by-step explanation:
What is the circumference of the circle if the radius is 10 cm?
The circumference of the circle is 62.8cm.
The Circumference of the circle is given by the formula,
Circumference = 2*\(\pi\)*r cm.........equation 1
Given, r = 10cm
On substituting the radius value in equation 1
Circumference = 2*\(\pi\)*10
Circumference = 62.8 cm
Therefore, the circumference of the circle is 62.8cm.
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Which side will require the use of the distance formula to find the length?
Answer:
CD
Step-by-step explanation:
For all sides except CD, you do not need the distance formula, since they are vertical or horizontal, meaning that you can find their length simply through subtraction. However, with side CD, since it is diagonal, you need to form a right triangle with to solve its length. Hope this helps!
Find the slope-intercept equation of the line that has the given characteristics.
Slope 8 and y-intercept (0,9)
The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.
To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given:
Slope (m) = 8
Y-intercept (0, 9)
We can substitute these values into the slope-intercept form:
y = mx + b
y = 8x + 9
Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).
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what is71 3/4 over 100 as a decimal
pls explain
Answer:
3 71/100 = 3.71
Step-by-step explanation:
To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71
Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,
3 71/100 = 3.71
im not quite sure how to explain it, because im a very messy worker, but I got 71.75. If youre looking for someone to explain it, im not it lol.
A parking lot is rectangular in shape. On a scale drawing, the length of the parking lot is foot long and the width is į foot long.
The length of the actual parking lot is 150 feet.
What is the width of the actual parking lot?
Enter your answer in the box.
ft
Answer:
100ft
Step-by-step explanation: I took the quiz
c) Evaluate: 3√11x√2
Answer:
\(3\sqrt{22}\)
Step-by-step explanation:
The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)
Multiply
Rahul deposited Rs. 12,000 in a bank for 2 years. If it is compoundedannuallyat 9% p.a., what amount will he receive on maturity? (at the end of two years).
Answer:
Rs 14257.2
Step-by-step explanation:
From the formula;
A= P(1 + i)^n
A= amount
P= principal
i= rate
n= time
A= 12000(1 + 0.09)^2
A=12000(1.09)^2
A=Rs 14257.2
Which value is a solution of 7/4x^2-2=-0.5+4?
Answer:
x=√154 over 7 , −√154 over 7
Step-by-step explanation:
Answer:
the answer is that x=positive or negative square root of 22 over square root of 7
Step-by-step explanation:
It is percent
Thank youuu
A description that could explain what happened to the price of the share stock include the following: C. the price decreased by 90% and then increased by 75%.
What is a percentage?In Mathematics, a percentage simply refers to any number that is expressed as a fraction of hundred (100). This ultimately implies that, a percentage indicates the hundredth parts of any given number.
Based on the information provided, we can logically deduce that an algebraic expression that represents the situation is given by:
Algebraic expression = 1.75(0.1d)
Therefore, we have:
Rate of change (increase) = 1 + 0.75 = 75%.
Rate of change (decrease) = 1 - 0.1 = 90%.
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Numerical values that appear in the mathematical relationships of a model and are considered known and remain constant over all trials of a simulation are:_________
Not entirely sure about the question because of its wording, but I believe the answer is parameters.
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class
Answer:
80 distributions of the three scholarship are possible.
Step-by-step explanation:
Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:
4 x 5 x 4 = X
20 x 4 = X
80 = X
Therefore, 80 distributions of the three scholarship are possible.
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Which of the following equations describes the line shown below? Check all
that apply.
(-6,4)
(3,1)
Answer:
y-4=-1/3(x+6)
y-1=1/3(x-3)
Step-by-step explanation:
4-1/-6-3
3/-9
-1/3
y-4=-1/3(x+6)
y-1=1/3(x-3)
WILL MARK BRIANLIST IF GOTTEN RIGHT!!!
Answer:
55
Step-by-step explanation:
The angle is 1/2 of the arc
If the nominal interest rate is 9% and the real rate of interest is 2%, what is the expected rate of inflation? Be precise (4 decimal places). [Hint: (1 + krf) = (1 + k*)(1 + IRP)]
The expected rate of inflation is 0.068627 or 6.86%.
Real Rate of return:
The real rate of return defines the actual amount of return earned by an investment. Inflation reduces the real rate of return, so investor tries to invest in securities that could fetch more return than inflation.
The general formula of the inflation rate is:
\(IR=\frac{1+R_1}{1+R_2} -1\)
Given information is that
Nominal rate of return(R1)=9%
Real rate of return(R2)=2%
Now substitute these values in the above formula:
\(IR=\frac{1+R_1}{1+R_2} -1\\\\IR=\frac{1+0.09}{1+0.02} -1\)
IR=1.068627-1
IR=0.068627 or 6.86%
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Find the median of the following
data set.
14,24,35,37,43,35,45,24,29,41,45,
37,19,45,44
Answer:
37,43,35 should be the answer to your game
Answer: 24
Step-by-step explanation: First of all because the number of data is 15 numbers, you know don't have to divide. Cross out the 1st and last numbers until you get to one number. I got 24
Subtract 1 2/5 -(-3/5)
Answer:
2
Step-by-step explanation:
Convert them to mixed fractions and then find the lcd.
Hope this helps.
The four tables below show relationships in which the a values represent inputs and the y values represent the
corresponding outputs,
R
S
T
y
y
2
y
1-2
-3
-1
-5
-2
3
3
4
1
3
2
4
1
3
4
5
3
-3
3
7
3
3
3
-4
5
3
4
10
5
3
4
-5
Which table represents a relationship that is not a function?
A Q
B
R
D
Answer:
T
Step-by-step explanation:
Using the vertical line test, you can't have two x's with different y's, so since the last table has two 3's and two 4's in the x column, it cannot represent a function.
In his Fourteen Points, why did President Wilson include resolutions specifically about European
territories?
A Wilson insisted that Germany should take public responsibility for starting the war that had
destroyed many territories.
B The Treaty of Versailles did not include any detailed restrictions on territorial boundaries
C Territorial disputes among European nations were a major reason the war began in the first
place
D There was a strong international push for freedom of the seas and the reduction of armaments
Answer:
The correct answer is C. President Wilson included resolutions specifically about European territories in his Fourteen Points because territorial disputes among European nations were a major reason the war began in the first place.
Step-by-step explanation:
The Fourteen Points were the pacifist plan devised by President Woodrow Wilson at the end of World War I, with the aim of avoiding tensions between the former European combatants of the conflict and thus achieve a lasting peace between nations, framed in the League of Nations as supranational entity. Basically, the Fourteen Points sought to avoid the imposition of excessive sanctions on the defeated, as well as the obtaining of great benefits by the winners, so as not to break the territorial status quo prior to the war and thus avoid generating tensions in the future.
Answer:
C.) Territorial disputes among European nations were a major reason the war began in the first place.
Step-by-step explanation:
This is correct if it is for Connexus :)
y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Simplify (indices) pls explain thanks
\(16\frac{1}{2} \)
Using Laws of Indices, the given expression can be simplified as: 4
How to use Laws of Indices?Some of the laws of Indices are:
1) Multiplying indices: This states that when multiplying indices with the same base, add the powers.
2) Dividing indices: This states that when dividing indices that have the same base, subtract the powers.
3) Brackets with indices: This states that when there is a power outside the bracket multiply the powers.
4) Power of 0: This states that any non-zero value raised to the power of 0 is equal to 1.
5) Negative and fractional indices: This states that when the index is negative, put it over 1 and flip (write its reciprocal) to make it positive.
When the index is a fraction, the denominator is the root of the number or letter, then raise the answer to the power of the numerator.
We are given the expression:
\(16^{\frac{1}{2} }\)
Using law of fractional indices, we have:
\(16^{\frac{1}{2} } = \sqrt{16}\)
= 4
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