Answers
Hello,
I have only found 113 solutions (i have num 15 given)
nb= 1 ::: 27*n + 98= 30*n + 56===> n= 1 4
nb= 2 ::: 28*n + 95= 30*n + 67===> n= 1 4
nb= 3 ::: 29*n + 65= 30*n + 17===> n= 4 8
nb= 4 ::: 29*n + 65= 30*n + 18===> n= 4 7
nb= 5 ::: 29*n + 65= 30*n + 47===> n= 1 8
nb= 6 ::: 29*n + 65= 30*n + 48===> n= 1 7
nb= 7 ::: 29*n + 74= 30*n + 16===> n= 5 8
nb= 8 ::: 29*n + 74= 30*n + 18===> n= 5 6
nb= 9 ::: 29*n + 74= 30*n + 56===> n= 1 8
nb= 10 ::: 29*n + 74= 30*n + 58===> n= 1 6
nb= 11 ::: 30*n + 16= 29*n + 74===> n= 5 8
nb= 12 ::: 30*n + 17= 29*n + 65===> n= 4 8
nb= 13 ::: 30*n + 18= 29*n + 65===> n= 4 7
nb= 14 ::: 30*n + 18= 29*n + 74===> n= 5 6
nb= 15 ::: 30*n + 47= 29*n + 65===> n= 1 8
nb= 16 ::: 30*n + 48= 29*n + 65===> n= 1 7
nb= 17 ::: 30*n + 56= 27*n + 98===> n= 1 4
nb= 18 ::: 30*n + 56= 29*n + 74===> n= 1 8
nb= 19 ::: 30*n + 58= 29*n + 74===> n= 1 6
nb= 20 ::: 30*n + 67= 28*n + 95===> n= 1 4
nb= 21 ::: 36*n + 97= 40*n + 25===> n= 1 8
nb= 22 ::: 38*n + 59= 40*n + 27===> n= 1 6
nb= 23 ::: 38*n + 65= 40*n + 27===> n= 1 9
nb= 24 ::: 38*n + 69= 40*n + 15===> n= 2 7
nb= 25 ::: 39*n + 78= 45*n + 6===> n= 1 2
nb= 26 ::: 39*n + 82= 40*n + 15===> n= 6 7
nb= 27 ::: 39*n + 82= 40*n + 17===> n= 6 5
nb= 28 ::: 39*n + 82= 40*n + 65===> n= 1 7
nb= 29 ::: 39*n + 82= 40*n + 67===> n= 1 5
nb= 30 ::: 40*n + 15= 38*n + 69===> n= 2 7
nb= 31 ::: 40*n + 15= 39*n + 82===> n= 6 7
nb= 32 ::: 40*n + 17= 39*n + 82===> n= 6 5
nb= 33 ::: 40*n + 25= 36*n + 97===> n= 1 8
nb= 34 ::: 40*n + 27= 38*n + 59===> n= 1 6
nb= 35 ::: 40*n + 27= 38*n + 65===> n= 1 9
nb= 36 ::: 40*n + 65= 39*n + 82===> n= 1 7
nb= 37 ::: 40*n + 67= 39*n + 82===> n= 1 5
nb= 38 ::: 46*n + 87= 50*n + 39===> n= 1 2
nb= 39 ::: 46*n + 87= 52*n + 9===> n= 1 3
nb= 40 ::: 47*n + 68= 50*n + 29===> n= 1 3
nb= 41 ::: 47*n + 83= 50*n + 26===> n= 1 9
nb= 42 ::: 47*n + 98= 51*n + 6===> n= 2 3
nb= 43 ::: 47*n + 98= 53*n + 2===> n= 1 6
nb= 44 ::: 48*n + 63= 50*n + 29===> n= 1 7
nb= 45 ::: 48*n + 73= 52*n + 9===> n= 1 6
nb= 46 ::: 49*n + 63= 51*n + 7===> n= 2 8
nb= 47 ::: 49*n + 72= 53*n + 8===> n= 1 6
nb= 48 ::: 49*n + 78= 52*n + 30===> n= 1 6
nb= 49 ::: 49*n + 87= 56*n + 3===> n= 1 2
nb= 50 ::: 50*n + 26= 47*n + 83===> n= 1 9
nb= 51 ::: 50*n + 29= 47*n + 68===> n= 1 3
nb= 52 ::: 50*n + 29= 48*n + 63===> n= 1 7
nb= 53 ::: 50*n + 39= 46*n + 87===> n= 1 2
nb= 54 ::: 52*n + 30= 49*n + 78===> n= 1 6
nb= 55 ::: 57*n + 92= 63*n + 8===> n= 1 4
nb= 56 ::: 58*n + 72= 60*n + 34===> n= 1 9
nb= 57 ::: 58*n + 73= 60*n + 49===> n= 1 2
nb= 58 ::: 58*n + 79= 60*n + 31===> n= 2 4
nb= 59 ::: 58*n + 97= 60*n + 13===> n= 4 2
nb= 60 ::: 59*n + 47= 62*n + 8===> n= 1 3
nb= 61 ::: 59*n + 71= 60*n + 23===> n= 4 8
nb= 62 ::: 59*n + 71= 60*n + 28===> n= 4 3
nb= 63 ::: 59*n + 71= 60*n + 43===> n= 2 8
nb= 64 ::: 59*n + 71= 60*n + 48===> n= 2 3
nb= 65 ::: 59*n + 74= 63*n + 2===> n= 1 8
nb= 66 ::: 59*n + 78= 61*n + 30===> n= 2 4
nb= 67 ::: 59*n + 84= 61*n + 30===> n= 2 7
nb= 68 ::: 59*n + 87= 61*n + 3===> n= 4 2
nb= 69 ::: 60*n + 13= 58*n + 97===> n= 4 2
nb= 70 ::: 60*n + 23= 59*n + 71===> n= 4 8
nb= 71 ::: 60*n + 28= 59*n + 71===> n= 4 3
nb= 72 ::: 60*n + 31= 58*n + 79===> n= 2 4
nb= 73 ::: 60*n + 34= 58*n + 72===> n= 1 9
nb= 74 ::: 60*n + 43= 59*n + 71===> n= 2 8
nb= 75 ::: 60*n + 48= 59*n + 71===> n= 2 3
nb= 76 ::: 60*n + 49= 58*n + 73===> n= 1 2
nb= 77 ::: 61*n + 30= 59*n + 78===> n= 2 4
nb= 78 ::: 61*n + 30= 59*n + 84===> n= 2 7
nb= 79 ::: 65*n + 89= 70*n + 24===> n= 1 3
nb= 80 ::: 68*n + 59= 72*n + 3===> n= 1 4
nb= 81 ::: 68*n + 91= 70*n + 45===> n= 2 3
nb= 82 ::: 69*n + 43= 70*n + 15===> n= 2 8
nb= 83 ::: 69*n + 43= 70*n + 18===> n= 2 5
nb= 84 ::: 69*n + 43= 70*n + 25===> n= 1 8
nb= 85 ::: 69*n + 43= 70*n + 28===> n= 1 5
nb= 86 ::: 69*n + 48= 72*n + 3===> n= 1 5
nb= 87 ::: 69*n + 52= 70*n + 14===> n= 3 8
nb= 88 ::: 69*n + 52= 70*n + 18===> n= 3 4
nb= 89 ::: 69*n + 52= 70*n + 34===> n= 1 8
nb= 90 ::: 69*n + 52= 70*n + 38===> n= 1 4
nb= 91 ::: 69*n + 54= 71*n + 8===> n= 2 3
nb= 92 ::: 69*n + 58= 73*n + 2===> n= 1 4
nb= 93 ::: 69*n + 82= 75*n + 4===> n= 1 3
nb= 94 ::: 69*n + 85= 74*n + 20===> n= 1 3
nb= 95 ::: 70*n + 14= 69*n + 52===> n= 3 8
nb= 96 ::: 70*n + 15= 69*n + 43===> n= 2 8
nb= 97 ::: 70*n + 18= 69*n + 43===> n= 2 5
nb= 98 ::: 70*n + 18= 69*n + 52===> n= 3 4
nb= 99 ::: 70*n + 24= 65*n + 89===> n= 1 3
nb= 100 ::: 70*n + 25= 69*n + 43===> n= 1 8
nb= 101 ::: 70*n + 28= 69*n + 43===> n= 1 5
nb= 102 ::: 70*n + 34= 69*n + 52===> n= 1 8
nb= 103 ::: 70*n + 38= 69*n + 52===> n= 1 4
nb= 104 ::: 70*n + 45= 68*n + 91===> n= 2 3
nb= 105 ::: 74*n + 20= 69*n + 85===> n= 1 3
nb= 106 ::: 76*n + 93= 80*n + 45===> n= 1 2
nb= 107 ::: 79*n + 45= 82*n + 6===> n= 1 3
nb= 108 ::: 79*n + 54= 83*n + 6===> n= 1 2
nb= 109 ::: 80*n + 45= 76*n + 93===> n= 1 2
nb= 110 ::: 87*n + 64= 90*n + 25===> n= 1 3
nb= 111 ::: 87*n + 65= 90*n + 23===> n= 1 4
nb= 112 ::: 90*n + 23= 87*n + 65===> n= 1 4
nb= 113 ::: 90*n + 25= 87*n + 64===> n= 1 3
Related Questions
Factor 72x−18xy . If the expression cannot be factored, write cannot be factored.
Answers
Answer:
The factors of the expression are 18x and 4-y
Given the expression 72x - 18xy
Find the factor of each term:
72x = 18 * 4 * x
18xy = 18 * x * y
Since 18x is common to both terms, hence the factored form is expressed as:
72x - 18xy = 18x (4 - y)
Step-by-step explanation: Hope this helps!! Mark me brainliest!!
Answer:
18x(4−y)
Step-by-step explanation:
72x−18xy
Factor out 18.
18(4x−xy)
Consider 4x−xy. Factor out x.
x(4−y)
Rewrite the complete factored expression.
18x(−y+4)
Evaluate
18x(4−y)
What is the answer I need help and I can’t seem to figure it out
Answers
The new dimension of the rectangular field are 45 ft by 120ft.
How to find the new dimensions of the field?If the field has originally dimensions length L and width W, and we apply a scale factor K, then the new dimensions of the rectangle are:
lenght = K*L
width = K*W
In this case the original dimensions are:
L = 30ft
W = 80ft
And the scale factor is K = 1.5, then the new dimensions are:
L' = 1.5*30ft = 45ft
W' = 1.5*80ft = 120ft
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Anna bought $4000of company stock, she sold 75% if it when the value doubled and the remainder at four times the purchase price, what is here total profit
Answers
Anna's total profit was $6000 + $16000 - $4000 = $14000.
How did Anna earn profit
Anna bought $4000 of company stock. The value of the stock doubled when she sold 75% of it, which means she sold 0.75 * $4000 = $3000 worth of stock when its value doubled.
Since the value of the stock doubled, Anna sold the $3000 worth of stock for 2 * $3000 = $6000.
Anna then sold the remainder of the stock (25% of the original amount) for four times the purchase price. Since she originally bought the stock for $4000, the remainder was worth 0.25 * $4000 = $1000.
Selling this remainder for four times the purchase price means that Anna sold it for 4 * $4000 = $16000.
i need help with this
Answers
Answer:
I would say that the answer is D
Step-by-step explanation:
Hope this helps you:)
What is the solution to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4.
Answers
The solution to to log subscript 2 baseline (2 x cubed minus 8) minus 2 log subscript 2 baseline xx = 1x = 2x = 3x = 4 is 2 log₂ (x³ - 8) - 2 log₂ x = -2.
A logarithm expression is an expression in which the unknown value is expressed as the power to which a base number must be raised to produce a given number. For example, the equation log₂ 8 = 3 can be expressed as 2³ = 8.
A logarithm function is a type of mathematical function that calculates the logarithm of a given number. Logarithm functions are commonly used in mathematics, engineering, and science to simplify calculations. Logarithm functions can also be used to convert between different units of measurement.
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The solution to an inequality is given in interval notation as (2,). What is another way to represent this solution
set?
O
-
-5-4-3 -2 -1 0 1 2 3 4 5
-5-4-3-2-1 0 1 2 3 4 5
4
+
-5 -4 -3 -2 -1 0 1 2
44
3 4 5
Answers
The correct answer to this question is Option (4).
Answer:
D.
Step-by-step explanation:
EDG 2022
Signature of the Principle investigator on the final proposal implies his responsibility for the following except
Answers
The signature of the Principal Investigator on the final proposal does not imply responsibility for the availability of funding or the financial aspects of the project.
The signature of the Principal Investigator (PI) on the final proposal does not imply responsibility for certain aspects of the project beyond their control or expertise. While the PI plays a crucial role in leading and overseeing the research project, there are certain areas for which they may not bear direct responsibility.One aspect the PI may not be responsible for is the availability of funding. Although they may have been involved in securing the initial funding or writing the budget proposal, the final decision and availability of funds typically lie with funding agencies, institutions, or sponsors. The PI's signature on the proposal signifies their commitment to the project but does not guarantee funding.Additionally, the PI may not be accountable for the technical or scientific success of every aspect of the project. Research projects often involve interdisciplinary collaborations and multiple team members who contribute their expertise. The PI's signature signifies their leadership and overall responsibility, but they rely on the expertise and contributions of other team members for specific tasks and outcomes.Furthermore, the PI may not bear sole responsibility for external factors that can impact the project, such as changes in regulations, unforeseen events, or external market conditions. While they may adapt the project's direction and approach as needed, these external factors are beyond their direct control.In summary, the signature of the Principal Investigator on the final proposal does not imply responsibility for funding availability, technical success of every aspect, or external factors that may influence the project. The PI's role is primarily centered around leadership, coordination, and overall project management.The complete question should be What does the signature of the Principal Investigator on the final proposal NOT imply responsibility for?
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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
Answers
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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For each of the following equations, solve for the variable. If there are multiple solutions, separate them by a comma.
Answers should be integers, fractions, radicals, or in exponential form. No decimals!
1/7㏒ (x-1) + 3㏒ (2)
x=______
3㏑(ω+6) = 5㏑ (6)
ω=____
Answers
The solutions to the x and w variables are x = 2097153 and w = (6)⁻²/⁵
How to determine the solution to the variables?From the question, we have the following parameters that can be used in our computation:
1/7log(x - 1) = 3log(2)
3 ln(w + 6) = 5 ln(6)
Solving the equation (1), we have the following equation
1/7log(x - 1) = 3log(2)
Multiply both sides of the equation by 7
So, we have the following representation
log(x - 1) = 21log(2)
Apply the power rule of logarithm
log(x - 1) = log(2)²¹
By comparison, we have
x - 1 = (2)²¹
Evaluate the exponent
x - 1 = 2097152
So, we have
x = 2097153
Solving the equation (2), we have the following equation
3 ln(w + 6) = 5 ln(6)
Multiply both sides of the equation by 1/3
So, we have the following representation
ln(w + 6) = 5/3 ln(6)
Apply the power rule of logarithm
ln(w + 6) = ln(6)³/⁵
By comparison, we have
w + 6 = (6)³/⁵
So, we have
w = (6)⁻²/⁵
Hence, the solutions are x = 2097153 and w = (6)⁻²/⁵
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Whats is - 4x + 18 > 2x+12 put into interval notation ?
Answers
−4x+18>2x+12
−4x+18−18>2x+12−18
−4x−2x>2x−6−2x
−6x>−6
Multiply both sides by −1 and reverse the inequality
(−6x)(−1)<(−6)(−1)
6x<6
x<1
In interval notation (-∞, 1)
Answer:
(-∞,1)
Step-by-step explanation:
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Answers
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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Please please please help me with this problem it’s so hard and I’ll give you a brain list
Answers
Answer:
It is Positive,Negative,Positive after solving each of them
Mike's grandmother opened a savings account in Mike's name and deposited some money into the account. The account pays an annual simple interest rate of 9%. After 12 years, the interest earned on the account was $8,640. How much money did Mike's grandmother deposit in the account?
A.
$7,000
B.
$8,500
C.
$9,000
D.
$8,000
Answers
Answer:
In this question we have to use the formula of simple interest, which is
I = P r t
Where I is the interest earned, P is the amount invested, r is the rate of interest and t is the time duration .
In the given question, I = $4840 , r =11% or 0.11, t=11, P is unknown .
Substituting the values in the formula, we will get
P=4000
So she invested $4000.
Step-by-step explanation:
Which function has the same range as f (x) = negative 2 StartRoot x minus 3 EndRoot + 8?
Answers
g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8
The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.
Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).
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lucy has 18 puzzles each with 250 pieces how many pieces are there in all (also its for 50 pts)
Answers
Answer:
4500
Step-by-step explanation:
250 x 18 = 4500
An office manager orders one calculator or one calendar for each of the office's 60 employees. Each calculator costs $15, and each calendar costs $10. The entire order totaled $800.
Part A: Write the system of equations that models this scenario. (5 points)
Part B: Use substitution method or elimination method to determine the number of calculators and calendars ordered. Show all necessary steps. (5 points)
Answers
The system of equations is.
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
And the solutions are y = 50 and x = 10.
How to write and solve the system of equations?Let's define the two variables:
x = number of calculators.y = number of calendars.With the given information we can write two equations, then the system will be:
\(\begin{cases}\text{x}+\text{y}=60 \\15\text{x}+10\text{y}=800 \end{cases}\)
Now let's solve it.
We can isolate x on the first to get:
\(\text{x} = 60 - \text{y}\)
Replace that in the other equation to get:
\(15\times(60 - \text{y}) + 10\text{y} = 800\)
\(-2\bold{y} = 900 - 800\)
\(-2\bold{y} = 100\)
\(\text{y} = \dfrac{100}{-2} = \bold{50}\)
Then \(\bold{x=10}\).
Therefore, the solutions are y = 50 and x = 10.
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The radius of a circle is 3 feet. What is the length of a 75° arc?
Answers
Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.
How do circles work?Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."
Here,
A circle with a radius of 3 feet is equal to its diameter as follows:
=> C = 2πr = 2π(3) = 6π feet
Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:
5/24 of a complete circle is 75/360.
Therefore, the 75° arc's extent is
5/24 × 6π = 5π/4 ≈ 3.93 feet
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For F(x)=x^2+8 and g(x)=x^2-8 , find
( f o g) (x)
(g o f) (x),
(f o g)(2)
thanks!!
Answers
The final answer is (f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.
(f o g)(x):
To find (f o g)(x), we substitute g(x) into f(x):
(f o g)(x) = f(g(x))
Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:
(f o g)(x) = f(g(x)) = f(x^2 - 8)
Now we replace x in f(x^2 - 8) with x^2 - 8:
(f o g)(x) = (x^2 - 8)^2 + 8
Simplifying further:
(f o g)(x) = x^4 - 16x^2 + 64 + 8
(f o g)(x) = x^4 - 16x^2 + 72
Therefore, (f o g)(x) = x^4 - 16x^2 + 72.
(g o f)(x):
To find (g o f)(x), we substitute f(x) into g(x):
(g o f)(x) = g(f(x))
Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:
(g o f)(x) = g(f(x)) = g(x^2 + 8)
Now we replace x in g(x^2 + 8) with x^2 + 8:
(g o f)(x) = (x^2 + 8)^2 - 8
Simplifying further:
(g o f)(x) = x^4 + 16x^2 + 64 - 8
(g o f)(x) = x^4 + 16x^2 + 56
Therefore, (g o f)(x) = x^4 + 16x^2 + 56.
(f o g)(2):
To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:
(f o g)(2) = 2^4 - 16(2)^2 + 72
(f o g)(2) = 16 - 64 + 72
(f o g)(2) = 24
Therefore, (f o g)(2) = 24.
In summary:
(f o g)(x) = x^4 - 16x^2 + 72
(g o f)(x) = x^4 + 16x^2 + 56
(f o g)(2) = 24
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A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
Answers
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
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A box is launched upward from the ground at a speed of 69 feet per second. Calculate the height, in feet, of the box at 2 seconds if the height is given by h(t)=−16t2+69t where t is seconds.
Answers
According to the solving the Hight in feet at 2 second is 74.
What is the link between height and time, as well as height and velocity?This asserts that the height (h) of a projectile is equal to the combination of two products: its initial velocity and time in the air, and indeed the acceleration constant as well as half of the time squared.
What is the Max height formula?max = h plus V02 / (4 * g) When launching from the ground, the range is maximized (h = 0). If = 0°, therefore vertical velocity becomes equal to zero (Vy = 0), indicating horizontal projectile motion.
According to the given data:Given h(t)=−16t²+69t
t = 2 sec
substituting the value of t = 2.
h(2)=−16(2)²+69(2).
= -64 + 138
= 74
According to the solving the height and time in feet at 2 second is 74.
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72=2+5(-2–4x)
-4
4
-20
20
No solution
Answers
Answer:
-4
Solution:
72 = 2 + 5(-2 - 4x)
Distribute right side
72 = 2 - 10 - 20x
Combine like terms
72 = -8 - 20x
Add 8 to both sides
80 = -20x
Divide -20 to both sides
-4 = x
Best of Luck!
HELLLP FAST
Mathamatics
Answers
Answer:
512 ft and 1,232 ft
Step-by-step explanation:
area is length x width
the pool's area can be calculated doing 32ft x 16ft
the area of the pool is 512 ft
the deck's area can be calculated doing 28ft x 44ft
the area of the deck is 1,232 ft
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Find a and b using the factor theorem.
\(f(x)=x^3+ax^2+bx-12\) has factor \((x-1), (x+1)\)
Answers
The values of a and b using the factor theorem for the polynomial f(x), we set f(1) and f(-1) equal to zero. Solving the resulting system of equations, we find that a = 12 and b = -1.
To find the values of a and b using the factor theorem, we need to use the given factors (x - 1) and (x + 1) and the fact that they are roots of the polynomial f(x).
The factor theorem states that if (x - c) is a factor of a polynomial, then f(c) = 0. Therefore, we can set x = 1 and x = -1 in the polynomial f(x) to get two equations.
First, let's substitute x = 1 into f(x):
f(1) = (1)^3 + a(1)^2 + b(1) - 12
f(1) = 1 + a + b - 12
Next, let's substitute x = -1 into f(x):
f(-1) = (-1)^3 + a(-1)^2 + b(-1) - 12
f(-1) = -1 + a - b - 12
Since (x - 1) and (x + 1) are factors, f(1) and f(-1) must equal zero. Therefore, we can set the two equations equal to zero and solve for a and b:
1 + a + b - 12 = 0
-1 + a - b - 12 = 0
Rearraning the equations, we have:
a + b = 11
a - b = 13
Now, we can solve this system of equations. Adding the two equations, we get:
2a = 24
a = 12
Substituting the value of a into one of the equations, we find:
12 - b = 13
b = -1
Therefore, the values of a and b are 12 and -1 respectively.
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(7/8x-4) -3 (1/3x+6)
HELPP! I have to enter the correct expression!
Answers
Answer:
-1/8x-22
Step-by-step explanation:
Insert 3 in the RHS bracket
Insert - in the RHS bracket
Simplify
Answer:
\(-\frac{x+176}{8}\)
Step-by-step explanation:
Read the following prompt and type your response in the space provided. A comparative dot plot is shown for the points scored in a game by the members of two groups. Comparative dot plot. Number line from 41 to 59 for Group A. There is one dot above 41, two dots above 44, three dots above 45, one dot above 46, four dots above 47, two dots above 48, one dot above 49, and one dot above 50. Number line from 41 to 59 for Group B. There is one dot above 41, four dots above 42, five dots above 43, two dots above 44, one dot above 46, one dot above 47, two dots above 49, and three dots above 50. Compare the measures of spread for the two groups.
Answers
In terms of measures of spread, Group B has a wider IQR than Group A
The comparative dot plots show the points scored in a game by two groups, Group A and Group B. Both groups have a similar spread, with most of the dots clustered around the middle of the distribution. However, there are some differences in the tails of the distribution that affect the measures of spread.
For Group A, the lowest score is 41, and the highest score is 50. The interquartile range (IQR), which is the range containing 50% of the scores, is approximately from 45 to 48. The range, which is the difference between the highest and lowest scores, is 9.
For Group B, the lowest score is 41, and the highest score is 50. The interquartile range (IQR) is approximately from 43 to 49. The range is also 9.
This indicates that Group B has a more variable distribution of scores within the middle 50% of the distribution, indicating a more variable distribution of scores within the middle.
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Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
Answers
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
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how do you find the nth term of 70, 110, 150, ….
Answers
Answer: an=40(n-1)+70
Step-by-step explanation:
70, 110, 150, ….
Notice the terms get bigger by 40 as the sequence progresses. Hence, we can model this sequence with a linear equation. y=40(x-1)+70 where y=term value, x=term number and 70 is the first term.
y=40(x-1)+70
an=40(n-1)+70 ==> an=term value/nth term. n=term number
Francesa buys 25 songs from an online business. Each song costs $1.99. She pays a total of $52.74 for 25 songs.
Answers
Answer:
2.99
Step-by-step explanation:
if you are trying to ask what she payed for tax the anwser is above
Describe the series of transformations which transforms f left parenthesis x right parenthesis equals x squared onto f left parenthesis x right parenthesis equals x squared minus 6 x plus 18.
Answers
f(x) = \(x^{2}\) -> f(x) = \(x^2\) - 18 (translation) -> f(x) = \((x-3)^2\) - 18 (horizontal translation) -> f(x) = -6\((x-3)^2\) + 18 - 6x (vertical stretching)
how to transform given function?To transform the function f(x) =\(x^{2}\) into f(x) = \(x^{2}\) - 6x + 18, we need to apply a series of transformations. Here are the steps:
Translation: We need to shift the graph of f(x) = \(x^{2}\) down by 18 units to obtain f(x) = \(x^{2}\) - 18. This can be done by subtracting 18 from the function, which results in f(x) = \(x^2\)- 18.
Horizontal translation: Next, we need to shift the graph of f(x) = \(x^{2}\) - 18 to the right by 3 units to obtain f(x) =\((x-3)^2\) - 18. This can be done by replacing x with (x-3) in the function, which results in f(x) =\((x-3)^2\)- 18.
Vertical stretching: Finally, we need to vertically stretch the graph of f(x) = \((x-3)^2\) - 18 by a factor of -6 to obtain f(x) = \((x-3)^2\) - 6x + 18. This can be done by multiplying the function by -6, which results in f(x) = -6\((x-3)^2\) + 18 - 6x.
So, the series of transformations required to transform f(x) = \(x^{2}\) into f(x) = \(x^{2}\) - 6x + 18 is:
f(x) = \(x^{2}\) -> f(x) =\(x^{2}\) - 18 (translation) -> f(x) =\((x-3)^2\) - 18 (horizontal translation) -> f(x) = -6\((x-3)^2\)+ 18 - 6x (vertical stretching)
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What are the points of the image of the line in Q4 after the dilation?
Answers
Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)
How is this so ?To rotate a point 90 degrees clockwise about a given point,we can follow these steps -
Translate the coordinates of the given point so that the center of rotation is at the origin. In this case,we subtract the coordinates of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).
Perform the rotation by swapping the x and y coordinates and changing the sign of the new x coordinate. In this case,we swap the x and y coordinates of (-5, 3) to get (3, -5).
Translate the coordinates back to their original position by adding the coordinates of the center (0,1) to the result from step 2. In this case, we add (0,1) to (3, -5) to get (3, -4).
Therefore, the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).
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