Answer:
270 degree < 0 < 270 degree
which Best describes the rule for this pattern 1, -12, 12, -1, . . .
1. When you go to a party or other gathering you shake hands with many people. The following is a formula that will predict how many hand shakes take place if every person shakes hands with every other person only once.
s = n(n - 1)/ 2
where S is the total number of hand shakes and n is the total number of people at the party.
(a) Express this formula in words.
(b) How many hand shakes will occur if there are 12 people present?
Answer:
s = 66
Step-by-step explanation:
S = number of shakes
N = number of people
(N-1) = takes yourself out of the equation
÷ 2 = shaking hands with everyother person
so when 12 people present:
s = 12(12-1) /2
s = 12(11) /2
s = 132 /2
s = 66
Answer:
This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.
Help!
How to get over a huge crush
Answer:
there are cute boys on Tik-tok or you can try and think about something happy
Step-by-step explanation:
of 1
Suppose there is a list of eighteen jokes about marriage and
divorce. In how many ways can people select their six favorite
jokes from this list?
There are 55692 ways can people select their six favorite
jokes from this list by using combination.
What is combination?
Selections are another name for combinations. The choice of items from a predetermined group of items corresponds to combinations. We don't want to organise anything here. We are going to choose them. We use the notation nCr to indicate how many distinct r-selections or combinations there are among a set of n objects. A combination is distinct from an arrangement or a permutation. No matter how the objects are arranged, combinations are produced by choosing some or all of them.
Here the total number of jokes about marriage n= 18
Number of people select jokes r = 6
Now using combination formula,
\(= > nCr= \frac{n!}{r!(n-r)!}\\= > 18C6=\frac{18!}{6!(18-6)!} \\= > 18C6=\frac{18!}{6!(12!)} \\= > 18C6= \frac{18*17*16*15*14*13}{6*5*4*3*2*1} \\= > 18C6= 55692\)
Hence 55692 ways can people select their six favorite
jokes from this list.
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y=-3x + 7?
what is slope of line y
Answer:
-3
Step-by-step explanation:
coefficent of x enough to understand slope
Hello there! :)
The equation y=-3x+7 is written in slope-intercept form (y=mx+b)
Where
m is the slope
b is the y-intercept
As we can see, the slope of this line is -3.
Pay attention to the minus sign.
Hope it helps.
~An emotional teen who helps others with joy and listens to "How Far I'll Go"
-Grace ;-)
Good luck.
3,998-(-7)= can you please help me with this problem
Answer:
4005
Step-by-step explanation:
3,998 - (-7) = ?
Two negative signs will make a positive sign.
3,998 - (-7) = 3998 + 7 = 4005
So, the answer is 4005
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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which operation results in a trinomial. (4x5-8x) (3x2-8x+9)
The operation that will result in a trinomial for the given expression is subtraction operator ( - ).
What is a trinomial?A trinomial is an algebraic expression that has three terms. It is also a polynomial consisting of three terms or monomials.
The given polynomial expression;
( 4x⁵ - 8x ) ? (3x² - 8x + 9 )
To simplify the given polynomial expression into trinomial, we will use the following operation.
The chosen operation will be such that, we will have only three terms left after simplification.
So we will choose subtraction operator "-"
( 4x⁵ - 8x ) - (3x² - 8x + 9 )
= 4x⁵ - 8x - 3x² + 8x - 9
simplify further; (-8x and +8x will cancel out)
= 4x⁵ - 3x² - 9
Finally, we have our desired trinomial as 4x⁵ - 3x² - 9.
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Four friends went to the movies.
Each person bought a movie ticket, and the total the four friends spent on the tickets was $52.
Which equation can be used to find the cost of each tickets
A) 4+x=52
B) x - 4= 52
C) 4x=52
D)x/4=52
The equation that can be used to find the cost of each ticket is 4x = 52.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 6 is an equation.
We have,
Number of people who bought the tickets = 4
The total cost of tickets = $52
Now,
The cost of each ticket.
= 52 ÷ 4
= 13
Now,
Cost of one ticket = x
4x = 52
x = 52/4 = 13
Thus.
The cost of each ticket is $13.
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Between x = 0 and x = 1, which function has a greater average rate of change than y = 3x
?
Answer:
x=1
Step-by-step explanation:
y=3x so just add 1+3=4 then add veriable y=4x
The Tennessee Titans scored 22 points in week 5 and 35 points in week 6. Find the percent of increase.
Answer:
59.09%
Step-by-step explanation:
35-22=13
13/2= .59090909=59.09%
Suppose you start with one liter of vinegar and repeatedly remove 0.14 L, replace with water, mix, and repeat. a. Find a formula for the concentration after n steps. b. After how many steps does the mixture contain less than 9% vinegar?
Formula for the concentration after n steps is \(C(n) = C(0) * (0.86)^n\) and
after 11 steps, the mixture contains less than 9% vinegar.
What is concentration?
Concentration in science refers to the amount of a particular substance (the solute) that is dissolved in a given amount of a solution. It is typically expressed in units of moles per liter (M or mol/L) or as a percentage or fraction of the total solution.
a. Let C(n) be the concentration of vinegar after n steps. At each step, we remove 0.14 L of the mixture, which contains C(n) liters of vinegar. So we are left with (1 - C(n)) liters of water. We then add back 0.14 L of water, giving us a total volume of 1 liter. Therefore, the concentration after one step is:
\(C(1) = C(0) * \frac{1 - 0.14}{1}\)
where C(0) is the initial concentration of vinegar, which is 1 liter per liter or 100%. After two steps, we repeat the process:
C(2) = C(1) * \(\frac{1 - 0.14}{1}\)
Substituting the formula for C(1), we get:
C(2) = C(0) * \((\frac{1 - 0.14}{1}) * (\frac{1 - 0.14}{1})\)
or, more generally:
\(C(n) = C(0) * (0.86)^n\)
b. We want to find the smallest integer n such that C(n) < 0.09 or 9%. Substituting the formula from part (a), we get:
\(C(0) * (0.86)^n < 0.09\)
Dividing both sides by C(0), we get:
\((0.86)^n < 0.09\)
Taking the natural logarithm of both sides, we get:
n * ln(0.86) < ln(0.09)
Dividing both sides by ln(0.86), we get:
n > ln(0.09) / ln(0.86)
Using a calculator, we get:
n > 10.7
Since n must be an integer, the smallest possible value of n is 11. Therefore, after 11 steps, the mixture contains less than 9% vinegar.
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A combined total of $53,000 is invested in to two bonds that pay 2% and 8.5% simple interest. The annual interest is %3,335. How much is invested in each bond?
Five more than the quotient of a number and 3 is 7
The expression for Five more than the quotient of a number and 3 is 7 is (n/3) +5 =7.
The unknown number y is 6.
How to find the unknown number?Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is called as an algebraic expression (or variable expression).
given that Five more than the quotient of a number and 3 is 7.
the unknown number is y.
variable = y
now find the value of y.
This statement should be transformed into an equation.
A number divided by three can be written as
y/3.
Adding 5 now results in equation is
(y/3) + 5.
This is supposed to equal 7, therefore the equation is
(y/3) +5 =7.
now solve the equation
deducting 5 from both sides, you can solve for y to get
y/3 = 2.
Multiply 3 to both sides so that y is 6.
n = 6.
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how do you find the total surface area of a pyramid
Answer:
To find the total surface area of a pyramid you do SURFACE AREA =B+12(P×l)
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
can you please help me
Answer:
14
Step-by-step explanation:
cause both are congruent which means the same size if one has 14 why shouldnt the other too
Jane has been practicing sewing, and she wants to make a rectangular blanket to give as a gift to her best friend. So that the blanket is not too small, Jane decides the blanket will have an area of approximately 40 square feet, or 5,760 square inches. She also wants the blanket to be 18 inches longer than it is wide to have room to embroider her friend's name along one edge.
To the nearest tenth of an inch, what is the width of the blanket?
The width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
What is width in rectangle ?
In a rectangle, the width refers to the measurement of the shorter side of the rectangle, which is perpendicular to its length.
Let x be the width of the blanket in inches. Then the length of the blanket is x + 18 inches.
The area of the blanket is given by:
Area = Length x Width
5760 sq inches = (x + 18) inches * x inches
Expanding the right-hand side and solving for x, we get:
\(x^2 + 18x - 5760 = 0\)
We can solve this quadratic equation using the quadratic formula:
\(x = (-b \pm \sqrt{(b^2 - 4ac)}) / 2a\)
where a = 1, b = 18, and c = -5760. Plugging in these values, we get:
\(x = (-18 \pm \sqrt{(18^2 - 4(1)(-5760))}) / 2(1)\)
\(x = (-18 \pm \sqrt{(18^2 + 23040)}) / 2\)
x ≈ 67.42 or x ≈ -85.42
Since the width cannot be negative, the width of the blanket to the nearest tenth of an inch is approximately 67.4 inches.
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17. Rob purchased a boat three years ago. The boat decreased by 7% each year. Three years
later, the value of the boat was $32,174.28. Which equation initially models the value of Rob's
boat?
A. y = 40,000(0.93)*
B. y = 40,000(1.07)*
C. y = 32,174.28 (0.93)*
D. y = 32,174.28 (1.07)*
Answer:
The correct equation that initially models the value of Rob's boat is option A, y = 40,000(0.93)*.
Since the value of the boat decreased by 7% each year, the value of the boat after three years can be represented by:
y = 40,000(0.93)^3
where y is the value of the boat after three years, and 40,000 is the initial value of the boat.
Simplifying this equation, we get:
y = 40,000(0.7951)
y = 31,804
However, we know that the actual value of the boat after three years was $32,174.28. This means that our initial assumption that the boat decreased by 7% each year is incorrect and we need to adjust the equation accordingly.
To find the correct equation, we can use the formula for exponential decay:
y = a(1 - r)^t
where y is the final value, a is the initial value, r is the rate of decay (expressed as a decimal), and t is the time in years.
In this case, we know that the final value of the boat is $32,174.28, and that the boat was owned for three years. We also know that the value of the boat decreased by 7% each year.
So we can set up an equation:
32,174.28 = 40,000(0.93)^3
Simplifying this equation, we get:
32,174.28 = 31,804.00
This equation is approximately true, which means that the initial value of the boat was $40,000 and the correct equation that initially models the value of Rob's boat is:
y = 40,000(0.93)^t
where t is the time in years.
2a+c=162.97
how do you use the elimination method for this
When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation
To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.
The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.
In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':
2a + c = 162.97
Rearrange the equation to isolate 'c':
c = 162.97 - 2a
Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.
For example, let's say we choose 'a' = 10:
c = 162.97 - 2(10)
c = 162.97 - 20
c = 142.97
So, when 'a' is 10, 'c' is approximately 142.97.
You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.
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I can Multiply a 11x6 matric by a 6x7 matrix. The resulting matrix will be ??? Can somebody help me
Answer:
The resulting matrix will be 11 * 7
Step-by-step explanation:
Given
Matrices 11 * 6 multiplied by 6 * 7
Required
The dimension of the resulting matrix
When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c
In this case:
\(a * b = > 11 * 6\)
\(b * c => 6 * 7\)
So, the resulting matrix will be:
\(a * c => 11 * 7\)
3. Convert 10% into fraction.
1/10 to get your answer
10÷100=
0.1=1/10
Find the equation of the line which passes through (0, 7) at a gradient of 3.
Answer:
y = 3x + 7
Step-by-step explanation:
Here, line is passing through the point (0, 7). It's x-coordinate is 0 and y-coordinate is 7
So, y-intercept (b) = 7
Gradient (or slope m) = 3
Equation of line in slope intercept form is given as:
y = mx + b
Plugging m = 3 and b = 7 in the above equation, we find:
y = 3x + 7
This is the required equation of line.
4x + 7y - 6z + 6y - 9x like terms
Answer:
-5x + 13y - 6z
Step-by-step explanation:
#7 find the answer with the offering 20% discount
Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.
What is a discount?A discount is an amount that reduces the price of a retail item.
Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.
Discount rate on offer = 20%
Discounting factor = 80% or 0.8 (100 - 20%)
Manufacturer's coupon off the price = $200
Let the price of the bureau = x
The price after the discount (discounted price) is given by D(x)
D(x) = 0.8x
The price after the coupon = C(x) = x - 200
The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200
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Complete Question:Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).
Topic - n-th term
If x + 1 and -x + 17 are the second and sixth terms of a sequence with a common difference
of 5, find the value of x.
Answer: -2
Step-by-step explanation:
So, the arithmetic sequence formula for the nth term is as follows.
Tₙ = a + (n-1)d
So,
2nd term or (x + 1) = a + d
x + 1 = a + 5 (d = 5). - 1
6th term or (-x + 17) = a + 5d
- x + 17 = a + 25. - 2
Subtract 2 from 1, we get,
2x - 16 = -20
2x = -4
x = -2
You can check it if you want,
Second term = - 1
Sixth term will be - 1 + 5 + 5 + 5 + 5 = 19
There you go.
Algebraic expression for 4less then 3x
When 'x' is 5, the Algebraic expression 3x - 4 evaluates to 11.
To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.
First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.
Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.
In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.
To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:
3(5) - 4
This simplifies to:
15 - 4 = 11
So, when 'x' is 5, the expression 3x - 4 evaluates to 11.
In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.
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Note the complete question:
Algebraic expression for 4 less than the product of 3 and some number
What is the algebraic expression for "4 less than the product of 3 and some number?
Please help me understand the meaning of how to calculate.
Simplify: x - y + 2x - 2 + 3y + 3 + 2y - x
Answer:
2x+4y+1
Step-by-step explanation:
x−y+2x−2+3y+3+2y−x
=x+−y+2x+−2+3y+3+2y+−x
=x+−y+2x+−2+3y+3+2y+−x
=(x+2x+−x)+(−y+3y+2y)+(−2+3)
Vincent earns $546 on Monday and he earns $352 on Tuesday. How much total money does Vincent earn?
Answer:
$898
Step-by-step explanation:
Easy, 546 + 352 =
898
Compare the best estimate for 1.789/178 and 0.05. Which is less?
Answer:
The smaller number in 0.01
Step-by-step explanation:
To find this answer, just take the fraction and find the quotient of both numbers.
1.789/178 = 0.01005056179
Now take the quotient and compare it to 0.05.
Is 0.01 larger or 0.05 - the answer is 0.01.