Step-by-step explanation:
1 + 1 + 1 - 1 - 5 - 5r - 3 - 3 --2 - 6 --4
3 - 1 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
2 - 5 - 5r - 3 - 3 -- 2 - 6 -- 4
-3 - 5r - 3 - 3 -- 2 - 6 -- 4
-5r - 6 - 3 + 2 - 6 + 4
-5r - 9 + 2 - 6 + 4
-5r - 7 - 6 + 4
-5r -13 + 4
-5r - 9
This is the furthest it can be reduced to if you're not trying to find the value of r.
Hope this helps! :)
I need help with all of this
Answer:
1080 total inches of ribbon. 60 pieces of ribbon can be cut.
Step-by-step explanation:
Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.
This is the answer to the question below the problem.
To answer the bigger question at hand:
You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.
Mimi is building a decorative fence around her garden. The first fence board will be 2 feet tall, and each successive fence board will be 25% taller than the previous fence board. If Mimi plans to have 10 fence boards, is the sequence that represents the height, in feet, of the decorative fence boards finite or infinite? Is the sequence arithmetic or geometric? Explain.
The sequence of the decorative fence boards would be 66.48 feet which is the infinite geometric sequence.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
The first fence board will be 2 feet tall, and each successive fence board will be 25% taller than the previous fence board which is given in the question.
aₙ = arˣ⁻¹ (n ≠ 0)
a₁ = 2
x = (1 +25%) = 125%
n = 10
aₙ = 2 × (125%)
The sum of the terms in a finite or infinite geometric sequence as
Sₙ = a₁ + a₂ + ... +aₙ
= a₁(1 -xⁿ)/(1-x)
= 2(1 -1.25¹⁰)/(1-1.25)
= 2(-8.31)/(-0.25)
= 66.48 feet
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What is the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity? Show all necessary steps.[tex]\frac{4x^{3}-20x-50 }{x-3}[/tex]
The remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have to determine the remainder of the quantity 4 x cubed minus 20 x minus 50 end quantity divided by the quantity x minus 3 end quantity.
4x³-20x-50 = (4x³-4x²-16x-50) + (4x²+16x)
Divide both sides by (x - 3) to get
4x³-20x-50 = (4x³-4x²-16x-50)/(x-3)+(4x²+16x)/(x-3)
⇒ 4(x²+4x+12)+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+(4x²+16x)/(x-3)
⇒ 4x²+16x+48+4(x+4)
⇒ 4x²+20x+52
Therefore, the remainder of the polynomial 4x³-20x-50 / (x - 3) would be the expression 4x²+20x+52.
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Name the procedures you would use to solve an equation with variable terms on both sides such as 3x + 5 = 6x + 2.
Answer:
x = 1
Step-by-step explanation:
Let's solve your equation step-by-step.
3x+5=6x+2
Step 1: Subtract 6x from both sides.
3x+5−6x=6x+2−6x
−3x+5=2
Step 2: Subtract 5 from both sides.
−3x+5−5=2−5
−3x=−3
Step 3: Divide both sides by -3.
−3x−3=−3−3
x=1
Answer:
x=1
Hope this helps! <3
Answer:
stuff, look to the explanation for your answers
Step-by-step explanation:
Procedures for the left side: dividing 3 and subtracting 5
Procedures on the left side: subtracting 2 and dividing by 6.
You do these procedures to both sides to get your answer.
Which of these sets of side lengths are Pythagorean triples? Check all that apply.
A. 10, 24, 26
B. 14, 48, 49
C. 9, 12, 16
D. 9, 40, 41
E. 15, 20, 25
The sets of lengths that are Pythagorean triples are:
A. 10, 24, 26
D. 9, 40, 41
E. 15, 20, 25
What is a Pythagorean Triple?A Pythagorean triple can be described as a set of three numbers of the side lengths of a right triangle whereby the square of the longest side is equal to the sum of the squares of the two other sides.
For 10, 24, 26, we have:
10² + 24² = 26²
676 = 676 [true]
The set, 10, 24, 26 is a Pythagorean triple.
For 14, 48, 49, we have:
14² + 48² = 49²
2,500 = 2,401 [not true]
The set, 14, 48, 49, is NOT a Pythagorean triple.
For 9, 12, 16, we have:
9² + 12² = 16²
225 = 256 [not true]
The set, 9, 12, 16, is NOT a Pythagorean triple.
For 9, 40, 41, we have:
9² + 40² = 41²
1,681 = 1,681 [true]
The set, 9, 40, 41, is a Pythagorean triple.
For 15, 20, 25, we have:
15² + 20² = 25²
625 = 625 [true]
The set, 15, 20, 25, is a Pythagorean triple.
The correct set of options are, A, D, and E.
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PLS HELP ME OUT I WILL MARK YOY BRAINLEIST IF CORRECT
Solve number 15? , Find the equation for the indicted variable, the answer will look something like this “h=_____”. So it is “h” equals something
Answer:
[tex]h = \dfrac{T - r}{n}\\\\\text{Hourly rate } = \$45\;\;\text{if T = 200, r = 20 and n= 4}[/tex]
Step-by-step explanation:
We have from #14 that
T = r + nh
where T = amount charged, n = hours worked, r = fixed rate and h = hourly rate
Subtract r from both sides:
T - r = r + nh - r
The r terms on RHS of the equation cancel out
T - r = nh
Divide both sides by n:
(T - r)/n = h
Or we can write it as
h = (T - r)/n
If r = 20, , T = 200 and n =4 we get by substitution
h = (200-20)/4
h = 180/4
h = 45
So hourly rate = $45
Premises:
If you have a cat, then it will chase mice.
You have a cat.
Conclusion:
Your cat will chase mice.
The Law of what
makes this argument true.
The law which makes this argument true is referred to as the Law of Syllogism.
What is the Law of Syllogism?The Law of Syllogism is also referred to as reasoning by transitivity and it states that if two (2) statements are true, then a third true statement can be logically derived.
Mathematically, the Law of Syllogism follows a specific pattern and can be represented by the following conditional statements:
Conditional statement 1: If P, then Q (P ↔ Q).Conditional statement 2: If Q, then R (Q ↔ R.Conditional statement 3: If P, then R ( P ↔ R).In this context, we can reasonably infer and logically deduce that the Law of Syllogism makes the conclusion based on the two premises.
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you are given the following information obtained from a random sample of four observations selected from a large, normally distributed population. 25 47 32 56
The 95% confidence interval for the mean of the population lies between
(17.61, 62.39)
Construct a 95% confidence interval for the mean:
To construct a 95% confidence interval for the mean of the population, we must start with finding the following:
Mean
n=4
Mean=(25+47+32+56)/n
=(160)/4
=40
Mean is 40
Standard deviation σ
= [tex]\frac{1}{n-1}( \sum x^{2} -n(mean)^{2} )[/tex]
= [tex]\frac{1}{3} (6994-4(40)^{2} )[/tex]
σ= 14.07
Now, we construct 95% confidence interval CI:
Confidence interval=mean± t-table value*(standard deviation/√n)
Given a t-table value of 3.1824 from z-distribution table, mean=40, n=4, and standard deviation=14.07, we have:
Confidence interval=(40±3.1824(14.07/√4)
=(40±22.39)
=(40-22.39, 40+22.39)
Confidence interval=(17.61, 62.39)
The question was incomplete, below is the complete question:
You are given the following information obtained from a random sample of four observations taken from a large, normally distributed population.
25 47 32 56
Construct a 95% confidence interval for the mean of the population
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answer:
324 square inches
Step-by-step explanation:
A = S squared
A = 18 x 18
A = 324square inches
At the beginning of the month, Adam had 174.85 in his checking account. He wrote the following transactions in his checkbook for the month.. 58.00, -316.38, 102.96 What is Adams's account balance at the end of the month
Adam's account balance at the end of the month is 19.13 dollars.
The amount present in Adam's bank account at the beginning of the month is $174.85.
The transactions he wrote are,
58.00
-316.35
102.96
The Transactions which have positive sign are credit amount and the transaction with negative sign are debit amount.
We can write,
The balance at the end of the month = Initial balance present + Credit amount + debit amount
So, balance in Adam's account can be found by simple addition and subtraction,
Balance = 174.85 + 58.00 + 102.96 - 316.38
Balance = 335.81 - 316.68
Balance = 19.13
The amount in Adam's bank account at the end of the month is 19.13 dollars.
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A manager needs to rent a meeting room. This function can be used to determine
room is rented.
f(1) = 100
f(t)=f(t-1)+20
Use the function to complete the table indicating the cost of renting the room for e
Hours Rented
1
2
3
4
Cost
The cost of renting the meeting room by the manager for the hours 1,2,3 and 4 defined by the function of (t) = function of (t-1) + 20, given that function of (1) = 100 is 520.
What is a function?A function can be defined as a mapping whose co-domain is the set of real numbers.
Given the mapping defined as function of (t) = function of (t-1) + 20, for function of (1) = 100
Hence,
.f (2) = function of (2-1) + 20
.f (1) + 20
100 + 20 = 120
.f (3) = function of (3-1) + 20
.f (2) + 20
120 + 20 = 140
f (4) = f (4-1) + 20
.f (3) + 20
140 + 20 = 160
This can be seen in a table as shown above!
We can conclude with the proper mapping of the defined function of (t) = function of (t-1) + 20 for function of (1) = 100 that the total cost for the hours 1,2,3 and 4 for renting the meeting room is 520.
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Round 4,929 to the place value of the underlined digit.
Raising 4,929 to the place value of the underlined digit will give a value of 4930.
What is rounding up of numbers?It should be noted that rounding up of numbers simply means raising the number to the nearest ten, hundred, or thousand.
In this case let's assume that the underlined number is 2. Therefore, raising 4929 will give 4940. It should be noted that the number beside it is more than 5. Therefore, 1 will be added to 2 making 3. The new number is 4930.
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Which of the relationships below represents a function with a greater rate of change than the function y = -1/4x-4?
Given the function:
[tex]y=-\frac{1}{4}x-4[/tex]The given function is a linear function
The rate of change of the linear function = the slope of the function
The slope = the coefficient of x = -1/4
So, from the given options, you will select the function that has a slope that is greater than (-1/4)
the question is on the attachment full thing please to get brainlyist
Answer:
The percent of change is about a 16.95% increase.
The predicted population in 2019 is 158,000 people.
sry if im wrong
Step-by-step explanation:
\theta=310^\circθ=310
∘
The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π.
What is unit conversion?To convert any unit into another is called a unit conversion.
In order to convert units, we need to care about their dimensions their dimension should not be changed.
It is known that π radian = 180°.
1° = (π/180) radian.
Multiply both sides by 310
310° = (π/180)310
310° = (31/18)π
Hence "The degrees to radians conversion is given as 1° = π/180 radian thus the conversion of 310° is (31/18)π".
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The given question is incomplete complete question is ;
Convert the angle \theta=310^\circθ=310∘
theta, equals 310, degrees to radians.
Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 73%, 18%, 9%
B. 16%, 18%, 17%; 16%; 17%; 16%
C. 20%; 19%; 21%, 20%, 20%
D. 25%; 24%; 26%; 25%
In the given groups of Relative Frequencies the best represented by a pie chart would be Option D. 25%; 24%; 26%; 25%.
What are Relative Frequencies?Relative frequencies are more commonly used because they allow you to compare how frequently values occur relative to the overall sample size. They are calculated by dividing the total number of responses by the number of responses for each category. Pie charts depict relative frequencies by showing how much of the total pie each category represents. Raw frequencies and relative frequencies can be displayed in frequency tables and bar charts.
According to the question we can get,
25% = [tex]\frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] × 360° = 90°
24% approach 25%
26% approach 25%
So Option D would be the group of relative frequency best represented by a pie chart.
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WILL GIVE BRAINLIST IF ANSWERED CORRECTLY!!
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry. Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.
What is meant by rigid transformations?A transformation that maintains the size and shape of a geometric figure is known as a rigid transformation (or isometry). is a unique kind of transformation that doesn't alter a figure's size or shape.
Any transformation that leaves the sides and angles of flat figures unaltered is referred to as rigid transformation or isometry.Congruent pictures are produced by reflection in the plane, translations, rotations, or a combination of them.This suggests that two figures can only be said to be congruent if and only if a rigid transformation, or a combination of one or more rigid transformations, can map one planar figure onto another.The complete question is:
Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply
a) rigid transformations preserve segment lengths and angle measures.
b) Rigid transformations produce congruent figures.
c) If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
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Which of these is best used for displaying frequency distributions when one or two categories make up a large proportion of the total?
A. Pie chart
B. Bar graph
C. Comparative pie chart
D. Comparative bar graph
Option A, Pie chart best used for displaying frequency distributions when one or two categories make up a large proportion of the total.
A piechart is best which is used for displaying frequency distribution when one or two categories make up a large proportion.
Hence, the Pie chart is best.
Pie chart - A pie chart is a statistical visualization in the shape of a split region that displays numerical information. The arc length of each slice in a pie chart is proportionate to the quantity represented.
Explanation of incorrect options,
Bar graph - A bar chart is a form of chart or graph that depicts categorical data using rectangular bars whose height or length is proportionate to the value they represent. face. Bars can be drawn vertically or horizontally. A histogram is another name for a vertical bar chart.
Comparative pie chart - Pie graphs have pie graphic areas comparing ratios by frequency. The greater the radius of the pie chart, the greater the number of individuals it depicts. This allows you to compare the two data sets visually.
Comparative bar graph - Chart displaying continuous comparisons of columns indicating different portions of the same category. This facilitates the comparison of visual data.
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A)
What are the coordinates of the vertex C'
B)
What is the length of the side A'B'?
Answer:
(4 , 1)
Step-by-step explanation:
This is because to find the coordinate on a graph, it is written as ( x , y) and x is on 4 and y is on 1.
that's my opinion.
Nice question
Solve each equation. Show solutions on number line |x-4|=1
The solutions to the equation are x = 5 and x = 3
How to solve the equation?The equation is given as
|x - 4|= 1
The above equation is an absolute value equation
When the absolute value sign is removed from the equation, we have
x - 4 = 1 or x - 4 = -1
Add 4 to all sides of the equation
So, we have the following equations
x = 1 + 4 or x = 4 - 1
Evaluate
x = 5 or x = 3
This means that the value of the equation is x = 5 or x = 3
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10) Suppose the regression line for a set of data, y = 3x +b, passes through the point (2,5). If x and y are the sample means of
the x- and y-values, respectively, then y =
a) x
b) x-2
c) x +5
d) 3x
e) 3x -1
y = 3x - 1 is the equation in slope-intercept form.
What exactly does slope intercept mean?
A method of expressing a line's equation that makes it simple to identify the slope and y-intercept is known as the slope-intercept form.The point where the line is drawn the y-axis is known as the y-intercept, and the slope refers to how steep the line is.y = 3x +b passes through the point (2,5)
5 = 3 * 2 + b
5 = 6 + b
b = 5 -6
b = -1
y = 3x +b
y = 3x - 1 is the equation in slope-intercept form.
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PLEASE QUICK HELP ME
Answer:
x = 115°
Step-by-step explanation:
Line a and line b are parallel lines
x° and the angle with measure 115° are alternate exterior angles so they have same measurement and each is 115°
3. What is the result when any 2 integers are multiplied?
A. a positive integer
B. a negative integer
C. an integer
D. an even number
This is the graph of a function in the form f(x) = a * b ^ x what is the function?
The given graph is of the function of the form y = 3(2ˣ )
What is function?A function is a set of rules that assigns each element of a set a unique element of another set.
If f is a function and f(x) = x+2, then if we have to check x= 1 , y=3 put these values in y = x + 2 , 3 =1+2 (true)
Given that the graph of a function in the form y =f(x) = a b ˣ
From the graph in the question : The function passes through two points
(1,6) and (0, 3 )
From point (0,3 ) it gives that when x= 0 ⇒ y = f(x) =3
⇒ 3 = ab⁰
⇒ 3 = a
From point (1,6) it gives that when x =1 then y = f(x) =6
⇒ 6= ab¹
⇒ 6 = 3 b
⇒ 2 = b
Therefore, the given graph is of the function y = 3 ×2ˣ
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Which value cannot represent the probability of an event occurring?
1/100
0.29
85%
3/2
Reason:
The fraction 3/2 converts to 1.5 in decimal form
This is larger than 1 which is not possible for probability values. They must be between 0 and 1 inclusive of both endpoints.
0 represents 0% chance the event happens (i.e. it's impossible to happen)1 represents 100% chance it happens (i.e. guaranteed certainty to happen)Answer: 3/2
Step-by-step explanation: It will be 3/2 because 3/2 is 150 percent
Hope this helps!
Fill in the missing
6 groups of_
number.
equal 42.
Fill in the missing 6 groups of_ number. equal 42.
because 6 × 7 = 42 then
6 groups of 7 equals 42.
All i need to know is question 5. How they are different.
The $2 and $3 profits from the sale of sandwiches and wraps respectively, and the equation that is used to calculate the profit gives;
1. The equation is; [tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]
The slope, m = [tex] \displaystyle{ - \frac{2}{3}}[/tex]
The y–intercept, c = 490
2. The graph can be drawn by joining the y–intercept to a point found by moving along the slope from the y–intercept
3. [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
4. Please find attached the graph of the number of wraps to the number of sandwiches
5. Please find attached the combined graph of the two functions
The similarity is the common slope
The difference is the y–intercept
What is the slope of a straight line graph?The slope is the ratio of the rise to the run of the graph.
The given function is; 2•x + 3•y = 1470
Where;
x = The number of sandwich sold
y = The number of wraps sold
The profit per sandwich sale = $2
Profit per each wrap sale = $3
1. The slope and intercept form is; y = m•x + c
Where;
m = The slope
c = The y–intercept
Therefore, 2•x + 3•y = 1470 gives;
3•y = 1470 - 2•x
y = (1470 - 2•x)÷3 = 490 - (2/3)•x
[tex] \displaystyle{y = \frac{1470-2\cdot x}{3} = 490 - \frac{2}{3} \cdot x}[/tex]
Therefore;
[tex] \displaystyle{y = 490 - \frac{2}{3} \cdot x}[/tex]By comparison, we have;
The slope, m = -2/3The y-intercept, c = 4902. Using the slope and intercept method to graph the line involves the following steps.
Mark the point (0, 490) on the graph to represent the y–interceptFrom the point (0, 490), move 2 units downwards and 3 units to the right to represent the slope of (-2/3) then mark a point at the location arrived at, which is (3, 488)Join the two points and extend the line to complete the graph3. The equation in function notation is; [tex] \displaystyle{f(x) = 490 - \frac{2}{3} \cdot x}[/tex]
The meaning of the function is that the number of wraps sold is given by the difference between 490 and two thirds of the number of sandwiches sold, or that as the number of sandwiches sold increases by by 1, the number of wraps sold decreases by 2/3
4. The graph can be created using a spreadsheet application
Please find attached the graphs of the function
5. With a profit next month of $1,593, we have;
2•x + 3•y = 1593
Which gives;
[tex] \displaystyle{y = 531 - \frac{2}{3} \cdot x}[/tex]
Given that the equation of the graph of the previous month is y = 490 - (2/3)•x, we have;
The similarity is the slope of the two graphs are the same -(2/3)The difference is in the different y–intercepts, 490 and 531Learn more about the graph of a linear equation here:
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Which of the following shows a function with a non-differentiable point due to a vertical tangent?
whats the opposite of -4
Answer:
The opposite of an integer and negative number is a positive integer number. In this case, the opposite of -4 is +4.