Answer:
108
Step-by-step explanation:
average of first two multiples = 28
sum of first two multiples = 28 * 2 = 56
average of last two multiples = 44
sum of last two multiples = 44 * 2 = 88
average of all four multiples = ( 56 + 88 ) / 4 = 36
value of greater multiple = (88 + 56) - 36 = 108
Suppose A = {2, 5, 7, 9, 13, 25, 26}.
(a) Find n(A).
n(A) =
(b) T/F: 20 A
True
False
Part (a)
Answer: 7Reason:
There are 7 items inside set A. The notation n(A) counts the number of elements in a set.
==========================================
Part (b)
It's not clear what your teacher is asking. It seems this part is incomplete. Please revise.
Explain how you can check to see if your prime
factorization is correct.
Answer:
The simplest algorithm (a process or set of rules to be followed in calculations or other problem-solving operations, especially by a computer.) to find the prime factors of a number is to keep on dividing the original number by prime factors until we get the remainder equal to 1. For example, by prime factorizing the number 30 we get, 30/2 = 15, 15/3 = 5, and 5/5 = 1. Since we received the remainder, it cannot be further factorized.
Step-by-step explanation:
pls tell me if wrong have a good day/night<3
There are two typical approaches to prime factorization. The Prime Factor Tree and the Upside-Down Division are the first and second, respectively.
How many ways can you find prime factorization?There are two typical approaches to prime factorization. The Prime Factor Tree and the Upside-Down Division are the first and second, respectively. I'll also demonstrate two approaches to prime-factorize 40 using this. Divide the supplied number by the smallest prime, 2, to begin.To factorize an equation is to write it as the product of its factors. An irreducible factor is one that cannot be further represented as the product of other factors, much like prime factors. Every algebraic term also has the number 1 as a factor, however this is only indicated when it is necessary.Factorization is the technique of representing an expression as the sum of two or more factors.First, imagine that the given number is the tree's root. Step 2: Draw a tree with the two elements as its branches. Step 3: Refactor the composite factors and make a branching list of the factor pairs. Method 4: Repeat the previous step until all of the composite factors' prime factors have been identified.To learn more about prime factorization refer to:
https://brainly.com/question/1081523
#SPJ1
Lynne bought a bag of grapefruit, 1 5/8 pounds of
apples, and 2 3/16 pounds of bananas. The total
weight of her purchases was 7 1/2pounds. How
much did the bag of grapefruit weigh?
Using the mathematical operations of addition and subtraction, the weight of the bag of grapefruit is 3¹¹/₁₆.
What are the mathematical operations?The basic mathematical operations we have studied so far include addition, subtraction, division, and multiplication.
In addition operation, two or more addends are added to obtain a result known as the sum or total.
Using subtraction operation, the minuend, subtrahend, and difference are the major parts, including the subtraction operator (-).
There are two ways of solving this problem, we can add the fractional weights of apples and bananas and subtract the sum from the total weight of fruits Lynne bought.
We can also subtract each fractional weight from the total weight of fruits to arrive at the fractional weight of the bag of grapefruit.
The total weight of Lynne's purchases = 7¹/₂ pounds
The weight of apples = 1⁵/₈ pounds
The weight of bananas = 2³/₁₆ pounds
The weight of grapefruit = x
= 7¹/₂ - 1⁵/₈ - 2³/₁₆
= 3¹¹/₁₆
Add fractional weights:
1⁵/₈ + 2³/₁₆ = 3¹³/₁₆
Subtract the sum of the fractional weights from the total weight:
7¹/₂ - 3¹³/₁₆ = 3¹¹/₁₆
Learn more about mathematical operations at https://brainly.com/question/4721701
#SPJ1
DUE SOON! PLEASE HELP!
QUESTIONS ARE BELOW!
MANY THANKS!
An equation of a given parabola that is translated by 4 units left, 5 units up and is compressed by a factor of one-quarter is y= 1/4 ((x-3)²-6).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
Translation rules:
When the shape is moved towards the left by k units, then replace x with x - k.
When the shape is moved up by k units, then replace y with y + k.
3) Given that, the equation of the parabola is y=(x-3)²-7
The equation is translated by 4 units left, 5 units up and is compressed by a factor of one-quarter.
Here, 1/4 ((x-3)²-7-4+5)
y= 1/4 ((x-3)²-6)
4) The given equation is h=-4.9t²+180t+2
a) the maximum height of the rocket
Use the formula
x =-b/2a to find the maximum and minimum.
(18.36734693,1655.06122448)
b) the time required for the rocket to reach its maximum height
Find where the first derivative is equal to 0 to find the local maxima and minima.
(18.36734693, 1655.06122448) is a local maxima
c) the time required for the rocket to reach the ground
Solve the equation for t by finding a, b, and c of the quadratic then applying the quadratic formula.
t=900+3.16227766√(81098−49h)/49
t=900-3.16227766√(81098-49h)/49
Therefore, an equation of a given parabola that is translated by 4 units left, 5 units up and is compressed by a factor of one-quarter is y= 1/4 ((x-3)²-6).
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ1
In the Olympic Games, Michael Phelps won eight gold medals in swimming. Following are some of the events he won, along with his margin of victory, in seconds
The median margin for victory will be 1.89.
What defines median?The median of the data is the value of the middle observation discovered after the data are organized in ascending order. The median is useful in situations where it is difficult to express anything while taking into account all of the data.
One of the easy to calculate statistical summary metrics is the median. Since it bases its value on the data that is in the middle of a sequence, the median is often referred to as the place average.
Given Data:-
1.89,2.32,0.08,4.74,0.30
Mean margin of victory= 1.866
Median margin of victory= 1.89
So the median margin for victory will be 1.89.
Learn more about median, by the following link
brainly.com/question/14532771
#SPJ1
Complete question -
In interest rate 6% in 2500$ in year when go to investment at the end how many amount of 3 yrs and 5 months in simple interest ?
Answer: So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.
Step-by-step explanation:
To calculate the simple interest on an investment of $2500 at a 6% interest rate for 3 years and 5 months, you would use the formula:
Simple Interest = (Principal x Interest Rate x Time in Years)
In this case, the time in years would be 3.5 (3 years and 5 months)
Simple Interest = (2500 x 0.06 x 3.5) = $525
So, after 3 years and 5 months, the total amount of simple interest earned on an investment of $2500 at a 6% interest rate would be $525.
(Y-9)²/4÷(4y-36)/16 what is solver
Answer:
y - 9
Step-by-step explanation:
(y-9)²/4÷(4y-36)/16
is a fraction divided by a fraction.
When you have one or two fractions with a division, use Keep-Change-Flip.
Keep the first term:
(y-9)²/4
then Change the ÷ to a times.
(Y-9)²/4•
then Flip the second term.
(y-9)²/4 • 16/(4y-36)
You can factor the term (y-9)² into
(y-9)(y-9).
The other term (4y-36) can also be factored into
4(y-9).
see image.
The 4's and the y-9 terms can be "cancelled".
see image. The only term left is y-9.
What is the slope of the line?
m =
Answer:
1/3
Step-by-step explanation:
Everytime x increases by 3 units, y increases by 1 unit.
Hence, when Δx=3, Δy=1 (Δx = change in x)
m=Δx/Δy
m=1/3
solve the equation
(x + 2)(x + 6) = 0
Answer:
The zeroes of the equation are -2 and -6.
Step-by-step explanation:
(x + 2)(x + 6) = 0
=> x = -2, -6
Hope it helps.
find the interval(s) of numbers that are at least a distance of 3 away from "-7"
Answer:
x ≥ - 4 and x ≤ - 10 - as inequality( - ∞, - 10] ∪ [ - 4, ∞) - as intervals-----------------------------
The numbers that are at least a distance of 3 away from -7 are the numbers 3 units or more away from -7 either side on the number line :
x ≥ - 7 + 3 = - 4or
x ≤ - 7 - 3 = - 10This is same as:
( - ∞, - 10] ∪ [ - 4, ∞)Find the values of a, b, and]e if lines m and n are parallel.
The angles are 36,118,62
What happens when a transversal intersects parallel lines?If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°. When two lines intersect each other, then the opposite angles, formed due to intersection, are called vertical angles or vertically opposite angles.
Given: m and n are parallel lines with 3 transversals
We can observe that a=36 (vertically opposite angles)
and b =180-(36+26) ∵ They all lie on a line .
=118
and c= 180-118 ∵They all lie on a line.
=62
Hence, The angles are 36,118,62
Learn more about angle sum property here:
https://brainly.com/question/11806229
#SPJ1
The sum of the page numbers on the facing pages of a book is 553. Find the smaller page number.
Answer: To solve this problem, we can use algebra. Let x be the smaller page number. Then, the larger page number is x + 1, since the pages are facing each other. We know that the sum of these two numbers is 553, so we can set up the equation:
x + (x+1) = 553
Next, we will solve for x by combining like terms:
2x + 1 = 553
Now we will subtract 1 from both sides of the equation:
2x = 552
Finally, we will divide both sides by 2:
x = 276
So the smaller page number is 276.
Step-by-step explanation:
how to identify what type of shape ABCD is if A is (-3,0), B (1,5), C(-3,10) and D(-7,5) the slope of BC=-5/4 and the length of DA=6.4
The shape of the ABCD is a rhombus. The diagonals are not equal to each other.
What is the 2-dimensional shape?
A 2d shape is a two-dimensional shape with horizontal and vertical axes (x-axis and y-axis). 2D shapes are flat shapes with only length and width. These shapes have no thickness or height.
Given the vertices of ABCD are A(-3,0), B (1,5), C(-3,10) and D(-7,5).
The formula distance between points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The distance between A and B is √[(1 - (-3))²+(5 - 0)²] = √(4²+5²) = 6.4
The distance between B and C is √[(-3 - 1)²+(10 - 5)²] = √(4²+5²) = 6.4
The distance between C and D is √[(-7 - (-3))²+(5 - 10)²] = √(4²+5²) = 6.4
The distance between A and D is √[(-7 - (-3))²+(5 - 0)²] = √(4²+5²) = 6.4
The distance between A and C is √[(-3 - (-3))²+(10 - 0)²] = √(10²) = 10
The distance between B and D is √[(-7 - 1)²+(5 - 5)²] = √(8²) = 8
The slope of a line passes through the points (x₁, y₁) and (x₂, y₂) is (y₂ - y₁)/(x₂ - x₁).
The slope of AB is (5-0)/(1-(-3))=5/4
The slope of BC is (10-5)/(-3-1)=-5/4
The slope of CD is (5-10)/(-7-(-3))=5/4
The slope of AD is (5-0)/(-7-(-3))=-5/4
The number of vertices of the quadrilateral is 4.
Thus it is either a square or rectangle or rhombus or parallelogram.
Since the length of all sides is equal thus it is either a square or rhombus.
Since the diagonals are not equal it is a rhombus.
To learn more about quadrilateral, click on the below link:
https://brainly.com/question/29077336
#SPJ1
The following scenario represents a proportional relationship.
Jason bought 4 pounds of bananas for $3.16.
What is the constant of proportionality?
The constant of proportionality will be $0.79
What is constant of proportionality?It is defined as the rate or the ratio of two proportional values which are known to be at the same value.
The two variable values are said to have a proportional association if or when either of their ratio or their product are known to bring about a constant.
Hence, the proportionality constant's value is known by the proportion between the two said quantities.
Jason bought 4 pounds of bananas for $3.16.
k = $3.16/4
k = $0.79
Learn more about constant of proportionality: https://brainly.com/question/27598477
#SPJ1
18712−9412 i dont know what the final product would be
Answer:
Step-by-step explanation:
Solution:- this is question of subtraction , so 18712-9412=9300(Answer)
A rectangle with sodes of lengrh 84 and 45 has the same perimeter asa hexagon. If the sides of the hexagon all have the same length then what is the length of a side of the hexagon
(A) 41
(B) 46
(C) 43
(D) 45
(E)Other
A square has an area of 25. Two opposite side of the square each have their length tripled what is the perimeter of the new figure
(A) 40
(B) 25
(C) 60
(D) 35
(E)Other
A rectangle measures 6 centimeters by 25 centimeters the probability that a point randomly chosen inside the rectangle is closer to a side of length 25 than a side of length 6 is p/q are relatively prime positive whole numbers what is the sum of p and q
(A) 5
(B) 19
(C) 37
(D) 47
(E)Other
The three values of x that are solutions to X^3 + mx = 37x^2 +n are positive whole numbers that form a geometric sequence what is the sum of the possible values of the common ration of the geometric sequence
(A) 25/12
(B) 9/4
(C) 7/4
(D) 2
(E)Other
sorry if there's any spelling errors
Answer:
C. 43
A. 40
C. 37
E. Other
A rectangle with sides of length 84 and 45 has the same perimeter asa hexagon. If the sides of the hexagon all have the same length then what is the length of a side of the hexagon
Ans:
The perimeter of a rectangle is given by 2length + 2width. In this case, the perimeter of the rectangle is 284 + 245 = 258.
Since the perimeter of the hexagon is the same as the rectangle, and the sides of the hexagon are all the same length, we can find the length of a side of the hexagon by dividing the perimeter by the number of sides.
A hexagon has 6 sides, so the length of a side of the hexagon is 258/6 = 43.
So the answer is (C) 43.
A square has an area of 25. Two opposite side of the square each have their length tripled what is the perimeter of the new figure.
Ans:
The perimeter of the new figure would be 40. The original square had a side length of 5, so when two opposite sides were tripled, the new side length became 15. The perimeter of a rectangle is the sum of all four sides, so it would be 2 * (15) + 2 * (15) = 40.
(A).40
A rectangle measures 6 centimeters by 25 centimeters the probability that a point randomly chosen inside the rectangle is closer to a side of length 25 than a side of length 6 is p/q are relatively prime positive whole numbers what is the sum of p and q.
Ans:
The probability that a point randomly chosen inside the rectangle is closer to a side of length 25 than a side of length 6 can be found by comparing the areas of the two triangular regions formed by the point and the two sides. The area of the triangular region formed by the point and the side of length 25 is (1/2) * 6 * (distance from point to side of length 25) while the area of the triangular region formed by the point and the side of length 6 is (1/2) * 25 * (distance from point to side of length 6).
For the point to be closer to the side of length 25, the area of the triangular region formed by the point and the side of length 25 must be greater than the area of the triangular region formed by the point and the side of length 6. This means (1/2) * 6 * (distance from point to side of length 25) > (1/2) * 25 * (distance from point to side of length 6). Therefore, the probability that the point is closer to the side of length 25 is (1/2) * (6/25) = 3/25. The sum of p and q is 3 + 25 = 28.
Therefore, the answer is (C) 37.
The three values of x that are solutions to X^3 + mx = 37x^2 +n are positive whole numbers that form a geometric sequence what is the sum of the possible values of the common ration of the geometric sequence.
Ans:
It is not possible to determine the sum of the possible values of the common ratio of the geometric sequence without more information about the values of m and n in the equation X^3 + mx = 37x^2 +n. In order to solve for the common ratio, the values of x would need to be found and it requires the values of m and n.
Please look at the picture and answer the question, thank you!
3. Copy these equations and add brackets so that the answers are correct. 42-8x3-22=80 b) 75+5x4-70=25 160÷4x3 + 2 = 200 d) 120÷2x3+5=25
The correct brackets for the equations are added as follows:
a) (42 - 8) x 3 - 22 = 80
b) 75+ (5 x 4) -70 = 25
c) (160 ÷ 4) x (3 + 2) = 200
d) 120 ÷ (2 x 3) + 5 = 25.
What are equations?Equations are mathematical statements that equate or show that two or more mathematical expressions are equivalent or equal.
Equations use the equation symbol (=) to show the equality of the algebraic expressions.
Using parentheses in equations enable the use of the distributive property to solve the equation.
Thus, the correct parentheses have been added to the equations to prove them correct when solved.
Learn more about equations and parentheses at https://brainly.com/question/25989020
#SPJ1
How can you write an equation to represent this problem for any number of guards?
A man entered an orchard through 7 gates and picked some apples. When he left, he gave the first guard half his apples and 1 apple more. To the second guard he gave half his remaining apples and 1 more. He did the same to each of the remaining five guards and left the orchard with 1 apple. How many apples did he gather in all?
Answer:
Step-by-step explanation:
This problem can be represented by the equation: x + (x/2 - 1) + (x/4 - 1) + (x/8 - 1) + ... + (x/128 - 1) + 1 = x, where x is the total number of apples gathered.
This equation represents the process described in the problem, where the man gives half of his remaining apples (x/2, x/4, x/8, etc.) to each guard, minus 1 apple each time, until he is left with 1 apple.
What is the meaning of the absolute value of a number?
A.the direction a number is located with respect to zero
B. the distance a number is located from zero
C.the value of a number after it has been rounded up
D.the value of a number after it has been rounded down
Emilia is sending her three children to different week-long daytime summer camps. The cost of the summer camp is $468
for the youngest child, $231
for the middle child, and $350
for the oldest child. Estimate how much it will cost to send the three kids to summer camp by rounding each cost to the nearest hundred.
Answer:
$1,100
Step-by-step explanation:
The cost of the summer camp for the youngest child is around $500, when rounded to the nearest hundred.
The cost of the summer camp for the middle child is around $200.
The cost of the summer camp for the oldest is around $400.
500+200+400=1100
7 x + 4 y = 17 3 x + 4 y = 5
Answer:
make the x and y variables to each other variables by addition or subtraction
173x-7x +4y-4y=5
166x + 0y=5
166x =5
x= 166/5
x=33.2
Write 8,400,000 m3 as a fraction of 0.012 km3. Give your answer in its simplest form.
please help very important
Answer:
x = 18.3
Step-by-step explanation:
You want the length of the hypotenuse of a right triangle given the side opposite the 41° angle is 12 units.
SineThe sine relation is ...
Sin = Opposite/Hypotenuse
This can be rearranged to ...
Hypotenuse = Opposite/Sin
x = 12/sin(41°) ≈ 18.3 . . . . units
The value of x is about 18.3.
__
Additional comment
This is the SOH relation from the mnemonic SOH CAH TOA, which is intended to remind you of the relation between trig functions and sides of a right triangle. The others tell you ...
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
In the attached, note the calculator mode is set to DEG (degrees) so the argument of the Sin( ) function will be interpreted properly.
Help please
The amount of fencing is ___\
The perimeter of the fencing in terms of 'x' will be 13x + 3.
What is the perimeter of the shape?The complete stretch of a shape's border is referred to as the perimeter in geometry. A shape's periphery is calculated by summing the lengths of all of its sides and borders. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
The perimeter of the fencing in terms of 'x' is given as,
P = x + x + x + x + (3x + 1) + (3x + 1) + (3x + 1)
Simplify the equation, then we have
P = x + x + x + x + (3x + 1) + (3x + 1) + (3x + 1)
P = x + x + x + x + 3x + 1 + 3x + 1 + 3x + 1
P = 13x + 3
The perimeter of the fencing in terms of 'x' will be 13x + 3.
More about the perimeter of the shape link is given below.
https://brainly.com/question/28161250
#SPJ1
A group of people were asked how many people live in their household. How many said they have 3 or more in their household?
Answer:
11
Step-by-step explanation:
we know this because there are 5 people saying they have 3 and 6 people saying they have between 4-7
12 People fit comfortably in a 5 feet by 11 feet area. Use this value to estimate the size of a crowd that
is 10 feet deep on both sides of the street along a 3-mile section of a parade route.
Answer:
Step-by-step explanation:
Assuming that there are no sidewalks or other obstructions, the estimated size of the crowd along a 3-mile section of the parade route would be approximately 3,780,400 people. This calculation is based on the assumption that people will be standing shoulder to shoulder and that each person will take up an area of 5 feet by 11 feet. This would mean that for each mile of the parade route, there would be 1,260,800 people standing (12 people x 10 feet x 5280 feet). Multiplying this by 3 gives us 3,780,400 people.
Answer:
12 people fitting in an area of 5*5 = 25 ft². Area of the street: 3 miles = 3*5280 ft = 15840 ft 25 feet on both sides. So, the total area in which the crowd is sparsed is: A = 15840*25*2= 792000 ft². Now we apply the ratio: People over area. Applying cross multiplication: 25x = 12*792000 x = (12*792000)/25 x = 380160
Step-by-step explanation:
Let f(x)=e^x and g(x). What are the domain and range of (gxf)(x)?
domain: x > 0 range: y > 0
domain: x > 6 range: y > 0
domain: all real numbers range: y > 6
domain: all real numbers range: all real numbers
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
What are the domain and range?
The domain and range of a function are the set of all the inputs and outputs a function can give respectively. The domain and range are important aspects of a function. The domain takes all the possible input values from the set of real numbers and the range takes all the output values of the function.
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
To learn more about the domain and range visit,
https://brainly.com/question/2264373
#SPJ1
Which angle is vertical to 1?
Answer:
Have a good day!:)
Step-by-step explanation:
When two lines intersect at a point, they form two pairs of angles that do not share a side. These pairs are called vertical angles, and they always have the same measure. ∠1 and ∠3 are vertical angles. ∠2 and ∠4 are vertical angles.
A trader sold 1.6 lot EURUSD. How many units of Euros did he sell?
Answer:
let's see jssjsjnsjsjsjsjsjsjsjsjsjs
