Ans
The correct answer is (D) "The 2 represents the two sets of length and width pairs."
In the formula for the perimeter of a rectangle, 2(l+w), the 2 represents the fact that the formula is calculating the sum of two pairs of sides: the length and the width. Each pair consists of two sides, so there are two sets of pairs that need to be added together to get the total perimeter.
Therefore, the 2 represents the two sets of length and width pairs.wer:
What is the volume of this cone? Use π =3.14 and round to the nearest hundredth
Answer:
If the height and radius of a cone are both 9 yards, then you can use the formula for the volume of a cone to calculate its volume. The formula for the volume of a cone is V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone. Plugging in the values for r, h, and π gives us:
V = (1/3)πr^2h
= (1/3)(3.14)(9 yd)^2(9 yd)
= (1/3)(3.14)(81 yd^2)(9 yd)
= (1/3)(254.34 yd^3)
≈ 84.78 yd^3
So, the volume of a cone with a height and radius of 9 yards is approximately 84.78 cubic yards, rounded to the nearest hundredth.
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Use the graph below to determine the values of x
at which the function is not continuous.
Step-by-step explanation:
This graph shows a vertical asymptote at x = 0
this is where it is not continuous
3x, 3x+7,4x,5x-8 What is the value of x
Hello
What is the value of x?^
[tex]\frac{3x}{4x} = \frac{3x+7}{5x-8} \\\\\frac{3}{4} = \frac{3x+7}{5x-8}\\\\\frac{3}{4}(5x-8) = 3x+7\\\\\frac{3(5x-8)}{4} = 3x + 7\\\\\frac{15x-24}{4} = 3x + 7\\\\15x - 24 = 4(3x + 7)\\\\15x - 24 = 12x + 28\\\\15x - 12x = 28 + 24\\\\3x = 52\\\\\boxed{x = 52/3}[/tex]
If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write the lists of all elements of M and N.
Answer:
The set M of all square numbers less than 80 is:
M = {0, 1, 4, 9, 16, 25, 36, 49, 64}
The set N of all non-negative even numbers that are under 30 is:
N = {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}
Answer:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Step-by-step explanation:
A square number, also known as a perfect square, is a non-negative integer that is obtained by multiplying an integer by itself. In other words, it is the result of squaring an integer.
The square numbers less than 80 are:
1, 4, 9, 16, 25, 36, 49, and 64.An even number is an integer that is divisible by 2 without leaving a remainder.
The non-negative even numbers that are under 30 are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, and 28.Therefore:
All elements of the set M in ascending order are:
1, 4, 9, 16, 25, 36, 49, 64All elements of the set N in ascending order are:
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28Let sets A and B be defined as follows. A is the set of integers greater than or equal to -6 and less than or equal to -4 B={−29,20,28,29} (a) Find the cardinalities of A and B. n(A)=n(B)= (b) Select true or false.
The cardinality of set A (n(A)) is 3.
The cardinality of set B (n(B)) is 4.
To find the cardinality of a set, we count the number of elements in that set.
For set A, we need to count the number of integers between -6 and -4 (inclusive).
The integers in this range are -6, -5, and -4.
Therefore, the cardinality of set A (n(A)) is 3.
For set B, we simply count the number of elements given in the set. From the given set B = {-29, 20, 28, 29}, we have 4 elements.
Therefore, the cardinality of set B (n(B)) is 4.
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convert 349 rands to cents
Answer:
1 South African Rand is equal to 100 cents. Therefore, 349 South African Rands is equal to 34900 cents.
Answer:
349 South African Rand equals
United States Dollar
17.95
South African Rand
349
(5^2+7)÷4 evaluate it
Answer:
8
Step-by-step explanation:
(5² + 7) ÷ 4 ← evaluate terms in parenthesis
= (25 + 7) ÷ 4
= 32 ÷ 4
= 8
Find the measure of each angle in the isosceles trapezoid.
PLEASE HELP!
Answer:
A= 158
B=158
D=22
Step-by-step explanation:
An isosceles trapezoid has 2 pairs of equal angles.
A=B
C=D
Also A+C=180
So we have that A=158
B=158 and D=22
Review the simple interest rate based on FICO scores to answer the question:
FICO Score Simple Interest Rate
800–850 4.295%
740–799 5.597%
670–739 8.132%
580–669 9.358%
300–579 12.413%
A consumer, with a credit score of 645, is planning to buy a used car and needs to borrow $3,500 with a simple interest rate loan. Determine the interest rate the consumer will qualify for if they raise their credit score 60 points. Is it?
A, 4.295%
B. 5.597%
C. 8.132%
D. 9.358%
If the consumer raises their credit score by 60 points to 705, they will qualify for interest rate of 8.132%. The Option C
What interest rate will the consumer qualify for if they raise their credit score by 60 points?To know new interest rate, we have to get new credit score range and corresponding interest rate. The consumer's current credit score is 645, which falls within the range of 580-669.
To calculate the new credit score, we add 60 points to the current credit score:
= 645 + 60
= 705
The new credit score of 705 falls within the range of 670-739. According to the given table, this range corresponds to a simple interest rate of 8.132%
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Help pls and thank you
By using the parallelogram method, the addition of the vectors [tex]\vec a + \vec b[/tex] is (3, 1).
How to add vectors by using the head to tail method or parallelogram method?In Mathematics, a vector typically comprises two (2) points. First, is the starting point which is commonly referred to as the "tail" and the second (ending) point that is commonly referred to the "head."
Furthermore, the head to tail method of adding two vectors requires drawing the first vector ([tex]\vec a[/tex]) on a graph and then placing the tail of the second vector ([tex]\vec b[/tex]) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector ([tex]\vec a[/tex]) to the head of the second vector ([tex]\vec b[/tex]).
Furthermore, the head to tail method of adding two (2) vectors requires drawing the first vector ([tex]\vec a[/tex]) on a graph and then placing the tail of the second vector ([tex]\vec b[/tex]) at the head of the first vector. Finally, the resultant vector would be drawn from the tail of the first vector ([tex]\vec a[/tex]) to the head of the second vector ([tex]\vec b[/tex]).
By adding the given vectors algebraically, we have the following:
[tex]\vec a + \vec b[/tex] = (4, -3) + (-1, -2)
[tex]\vec a + \vec b[/tex] = [(4 + (-1)), (-3 + (-2))]
[tex]\vec a + \vec b[/tex] = [(4 - 1), (-3 - 2)]
[tex]\vec a + \vec b[/tex] = (3, -5).
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Dian is 8 years older than his brother.In 5 years Dian will be twice as old as his brother.How old is his brother now?
Dian's family is 3 times old now.
Let's call Dian's family's age" x" now.
According to the problem,
Dian is 8 times aged than his family, so Dian's age is x 8 now.
In 5 times, Dian's age will be x 8 5, and his family's age will be x 5.
The problem also states that in 5 times, Dian will be doubly as old as his family,
so we can set up the equation
x+ 8+ 5 = 2( x +5)
Simplifying the equation x +13 = 2x+ 10
Obtaining x from both sides
13 = x +10
Obtaining 10 from both sides
3 = x
thus,X=3
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Please help i need this done as soon as possible will mark brainly!!!!!!!!
The number 5730 represents
(**the number of years it takes for half of the carbon-14 to decay.**)
It is the half-life of carbon-14, which is the amount of time it takes for half of the substance to undergo radioactive decay.
What is the volume of the sphere? Write your answer in terms of pi (for example, 25 pi cubic units).
Answer:
4/3 ×π×r³
4/3 × 22/7 ×3³
88/21 ×27
there are 215% 224 mangoes in a bag what is the greatest number of children to distribute these FL in mangoes equally how many fruits of each kind will eachget
The greatest number of children that can distribute the mangoes equally is 481. Each child will receive 481/481 = 1 mango.
In order to distribute the mangoes equally among children, we first need to determine the total number of mangoes in the bag.
If there are 215% (or 2.15) of 224 mangoes in the bag, we can calculate the total number of mangoes by multiplying these values: 2.15 * 224 = 481.6 mangoes.
Since we cannot have fractional mangoes, we round down to the nearest whole number, which gives us a total of 481 mangoes in the bag.
To distribute these mangoes equally among the children, we divide the total number of mangoes by the number of children. Let's assume there are 'x' children.
Each child will receive 481/x mangoes.
To determine the greatest number of children, we need to find a value for 'x' that evenly divides 481. We can do this by finding the factors of 481. The factors of 481 are 1, 13, 37, and 481.
Therefore, the greatest number of children that can distribute the mangoes equally is 481. Each child will receive 481/481 = 1 mango.
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If the three digits of a three-digit number are multiplied ou get 135. Which result to you get, by adding the three digits?
Answer:
Let's call the three digits of the three-digit number "a", "b", and "c". Since the product of the digits is 135, we know that:
a * b * c = 135
We need to find the value of a + b + c. One way to approach this is to try out different combinations of digits that multiply to 135 and see which one adds up to the correct sum. The possible combinations are:
1 * 3 * 45 = 135 -> 1 + 3 + 45 = 49
1 * 5 * 27 = 135 -> 1 + 5 + 27 = 33
1 * 9 * 15 = 135 -> 1 + 9 + 15 = 25
3 * 5 * 9 = 135 -> 3 + 5 + 9 = 17
So, the only combination of digits that adds up to a three-digit number is 1, 3, and 45, which add up to 49. Therefore, the answer is 49.
transformed to create the graph of Y3x?
How is the graph of the parent function
O It is horizontally stretched by a factor of 3 and reflected over the y-axis.
It is translated 3 units down and reflected over the x-axis
It is horizontally compressed by a factor of 3 and reflected over the x-axis
It is translated 3 units down and reflected over the y-axis.
Answer:
The graph of the parent function y = 2^x can be transformed to create the graph of y = 2^(3x) by horizontally compressing by a factor of 3. Therefore, the correct answer is C.
When simplifying a rational expression in the form ( a − b ) / ( a + b ), it always equals - 1.
True or False
The statement that the rational expression ( a − b ) / ( a + b ) always equals -1 is incorrect, it does not hold true for all values of a and b. Only specific values that satisfy ( a - b ) = -( a + b ) will lead to the result -1.
Explanation:The statement in the question is not correct. That is, it is False. The rational expression in the form ( a − b ) / ( a + b ) does not always equal - 1. For example, if a = 5 and b = 3, the rational expression ( a − b ) / ( a + b ) becomes ( 5 - 3 ) / ( 5 + 3 ), which evaluates to 2 / 8 = 0.25, not -1. The statement would only be true if (a - b) = -(a + b), which is not an assumption we can make for all values of a and b. So, while simplifying a rational expression it is necessary to substitute the values and check it out.
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A salad dressing is made by mixing lemon juice and vinegar in the ratio of 4 : 3. Vicky makes 700ml of the salad dressing. How much lemon juice does she use?
Answer:
Vicky uses 400 ml of lemon juice in the salad dressing.
Randall has been practicing his conversions. He said 40 cm is 400 m. Use reasoning to explain why his conversion is incorrect.
Can some hell me find the area and arc length for each of these circles?
Answer:
please see detailed answers below
Step-by-step explanation:
1) circumference = πd = 16π inches.
arc length = (15/360) X πd = (2/3)π inches.
area of circle = πr² = π(8)² = 64π square inches.
area of sector = (15/360) X 64π = (8/3)π square inches.
2) circumference = πd = 30π inches.
minor arc length = (60/360) X 30π = 5π inches.
major arc length = (300/360) X 30π = 25π inches.
area of circle = πr² = π(15)² = 225π square inches.
area of minor sector = (60/360) X πr² = (75/2)π square inches.
area of major sector = (300/360) X πr² = (375/2)π square inches.
3) circumference = πd = 40π inches.
arc length = (125/360) X 40π = (125/9)π inches.
area of circle = πr² = π(20)² = 400π square inches.
area of sector = (125/360) X 400π = (1250/9)π square inches.
Can someone answer this for me and explain how to do it? Thanks! I will give brainliest.
Check the picture below.
so the part on the left is a template for transformations, and we can look at g(x) like this
[tex]{\Large \begin{array}{llll} g(x)=\stackrel{A}{-3} ~~ (\stackrel{B}{1}x+\stackrel{C}{4})^2 ~~ \stackrel{D}{-3} \end{array}}[/tex]
now, if you look at the template, we do +4 first, then -3 shift down, then 3 vertical shrink, and then the negative of -3, landing at g(x) from our parent f(x).
3.
Cylinder A and Cylinder B are similar. Find the surface area of Cylinder B. Give
your answer in terms of .
Cylinder A
Volume = 24
4 cm
Cylinder B
2 cm
We know the volume is 24, we can rearrange the formula to find the height: h = V/A. Plugging in the given values, we get h = 24/πr^2.
If the volume of a cylinder B2 is 24 cubic centimeters, there are a few things we can determine about the cylinder's dimensions. To find the radius of the cylinder, we first need to calculate the area of the base.
We can use the formula A = πr^2, where A is the area and r is the radius. If we know the volume of the cylinder, we can use the formula V = Ah, where V is the volume,
A is the area of the base, and h is the height of the cylinder. However, we do not have enough information to find the radius, as there are infinite combinations of radius and height that can give us a volume of 24 cubic centimeters.
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Area + Arc length equations of a circle, can someone help me out with this problem
To find the area of a sector, you can use the formula A = (θ/2π) × πr^2 = (θ/2) × r^2.
The area of a circle is given by the equation A = πr^2, where r is the radius of the circle. The arc length of a circle is given by the equation L = rθ, where θ is the central angle in radians and r is the radius of the circle.
To find the arc length of a portion of a circle, you can use the formula L = (θ/2π) × 2πr = (θ/2π) × C, where C is the circumference of the circle. This formula is useful when you have a fraction of a circle, such as a sector.
These equations are fundamental in geometry and are used in many applications such as architecture, engineering, and physics.
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find the first four terms of the infinite sequence un= 1/7n-2
To find the first four terms of the infinite sequence u_n = 1/(7n - 2), we substitute the values of n from 1 to 4 into the formula:
For n = 1:
u_1 = 1/(7(1) - 2) = 1/5
For n = 2:
u_2 = 1/(7(2) - 2) = 1/12
For n = 3:
u_3 = 1/(7(3) - 2) = 1/19
For n = 4:
u_4 = 1/(7(4) - 2) = 1/26
Therefore, the first four terms of the infinite sequence are:
u_1 = 1/5
u_2 = 1/12
u_3 = 1/19
u_4 = 1/26
Help me out cause im so lost
1). 140cm²
2). angle QRT
3). angle ACB= 65°
4). radian measure of d°
I Need help with this
The angle pairs are given as follows:
a) Alternate exterior: <2 and <8.
b) Corresponding angles: <2 and <6.
c) Alternate interior: <3 and <5.
How to obtain the angle pairs?Item a:
Alternate exterior angles are two angles that are on the exterior of the two parallel lines, on opposite sides of the transversal line, hence they are given as follows, for item a:
<1 and <7.<2 and <8.Item b:
Corresponding angles are angles that are on the same position relative to the transversal line, but on different parallel lines, hence one example is given as follows, for item b:
<2 and <6.
Item c:
The two alternate interior angles are positioned on the inside of the two parallel lines, and on opposite sides of the transversal line, hence they are given as follows, for item c:
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can someone help me solve this
Solution of expression 12 - |2x + 15| > 3 are,
⇒ - 12 < x < 3
And, Solution of (x - 3)² - x² + 3)/ (x² + 1) ≥ 0 is,
⇒ x ∈ [2, ∞) - {i, - i}
We have to given that;
Expressions are,
⇒ 12 - |2x + 15| > 3
And, (x - 3)² - x² + 3)/ (x² + 1) ≥ 0
Now, We can simplify as;
⇒ 12 - |2x + 15| > 3
⇒ 12 - 3 > |2x + 15|
⇒ 9 > |2x + 15|
⇒ |2x + 15| < 9
⇒ - 9 < 2x + 15 < 9
This gives,
⇒ - 9 < 2x + 15
⇒ - 9 - 15 < 2x
⇒ - 24 < 2x
⇒ - 12 < x
And, 2x + 15 < 9
⇒ 2x < 15 - 9
⇒ 2x < 6
⇒ x < 3
Hence, Solution of expression 12 - |2x + 15| > 3 are,
⇒ - 12 < x < 3
And, Simplify the expressions ,
⇒ (x - 3)² - x² + 3)/ (x² + 1) ≥ 0
⇒ (x - 3)² - x² + 3) ≥ 0
⇒ x² + 9 - 6x - x² + 3 ≥ 0
⇒ 12 - 6x ≥ 0
⇒ 12 ≥ 6x
⇒ 2 ≥ x
Hence, Solution of (x - 3)² - x² + 3)/ (x² + 1) ≥ 0 is,
⇒ x ∈ [2, ∞) - {i, - i}
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The graph below shows a line of best fit for data collected on the distance drivers traveled as a function of time. Which of the following is the equation of the line of best fit? A. B. C. D.
The equation for the line of best fit is given as follows:
y = 50x/3.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b.
The parameters of the definition of the linear function are given as follows:
m represents the slope of the function, which is by how much the dependent variable y increases(positive) or decreases(negative) when the independent variable x is added by one.b represents the y-intercept of the function, representing the numeric value of the function when the input variable x has a value of 0. On the case of the graph, the intercept is given by the value of y at which the graph crosses or touches the y-axis.From the graph, when x = 0, y = 0, hence the intercept b is given as follows:
b = 0.
Hence:
y = mx.
When x = 3, y = 50, hence the slope m is given as follows:
3m = 50
m = 50/3.
Hence the equation is:
y = 50x/3.
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2.
You are building a rectangular chest. You want the length to
be 6 feet, the width to
be 2 feet, and the volume to be 24 cubic feet. What should
the height be?
Step-by-step explanation:
Volume = 24 ft^3 = L x W x H
24 = 6 x 2 x H
H = 24 / ( 6 x 2) = 2 ft
Please solve and explain fully
1. We can see here that the initial flounder population will be = [tex]\frac{220}{0.6t + 1}[/tex].
2. The P'(11) in 2 decimal places is: 28.95.
What is population?Population refers to the total number of people residing in a given region or area. In most cases, it is expressed as the number of people in relation to a unit of area, like a square kilometer or square mile. A census, which is a count of every person residing in a specific area, can be used to estimate the population of a nation or region.
Many variables, such as birth, mortality, and migration rates, can have an impact on population size.
1. The initial flounder population:
[tex]\frac{4t + 216}{0.6t^{2} + 1 } = \frac{4 + 216}{0.6t + 1} = \frac{220}{0.6t + 1}[/tex]
2. The P'(11) will be:
where t = 11
[tex]\frac{220}{0.6(11) + 1} = \frac{220}{7.6} = 28.9473[/tex]
= 28.95 (2d.p.)
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