Answer:
(2 , 30) & (4, 60)
Step-by-step explanation:
y = 15x
When x = 2 , y = 15*2 = 30
When x = 4 ; y = 15 *4 = 60
For each value of u determine whether it is a solution to -2u-6<-20
Answer:
u > 7
Step-by-step explanation:
-2u -6 < -20 Add 6 to both sides
-2u - 6 + 6 < -20 + 6
-2u < -14 Divide both sides by -2. When you multiply or divide both sides by a negative number, you must flig the sign.
\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)
u > 7
Helping in the name of Jesus.
The answer is:
u > 7
In-depth explanation:
You haven't told me what the values of u are, but I'll solve the equation for u.
Add 6 on each side:
\(\bf{-2u-6 < -20}\)
\(\bf{-2u < -14}\)
Divide each side by -1 and reverse the sign:
\(\bf{2u > 14}\)
Now divide each side by 2
\(\bf{u > 7}\)
what type of variable is playing time in seconds of a dvd
Answer:
independent variable
Step-by-step explanation:
The amount of time you play a DVD doesn't depend on anything.
The variable "playing time in seconds of a DVD" is a quantitative variable, specifically a continuous variable.
A continuous variable can take any real value within a specific range. In this case, the playing time of a DVD can vary continuously in seconds, meaning it can be any non-negative real number. For example, a DVD can have a playing time of 90 seconds, 120 seconds, or even 121.7 seconds.
Quantitative variables, in general, are variables that represent numerical quantities or measurements. They can be further classified into two types: discrete and continuous. Discrete variables can only take specific, separate values (like the number of DVDs in a collection), while continuous variables can take any value within a range (like the playing time of a DVD).
In summary, the playing time in seconds of a DVD is a continuous quantitative variable because it can take any non-negative real value within a range.
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Part B What was the value of trade between Canada, the United States, and Mexico in 19933
The value of trade between Canada, the United States, and Mexico in 19933 exists roughly $ 290 billion.
What was the relationship between Canada, United States, and Mexico?U.S. trade with Canada, our number one trading partner for decades, raised (in current U.S. dollars) from $243 billion to $406 billion in 2000, an average annual rate of 8.9 percent. Trade with Mexico increased by 16 percent per year, from around $100 billion in 1994 to $248 billion in 2000.
The largest free trade area in the world was established by Canada, the United States, and Mexico, resulting in economic progress and a rise in the level of life for the citizens of all three members.
Canada's close economic links with the US and Mexico will be strengthened under the Canada-United States-Mexico Agreement (CUSMA).
The value of trade between Canada, the United States, and Mexico in 19933 exists roughly $ 290 billion.
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Consider the following story:
Three men walk into a hotel and ask to share a room. The cost is going to be $270 for
the night. Each man puts in a $100 bill and they get 3 $10 bills in change. The bell boy
carries their luggage and they each decide to be generous and tip the bell boy their change.
The front desk realizes they miss-charged the men, so the bell boy takes a $20 bill change to
the room. The men realize that you can’t split the $20 bill evenly 3 ways so they add it onto
the tip. The bell boy is happy but then thinks to himself: ”If the room is $270 and they had
this extra $20 that’s only $290, where did the other $10 go?”
Explain what is wrong with the Bell Boy’s thoughts, and what is the correct math here.
Answer:
Step-by-step explanation:
The bell boy added $270 and $20 incorrectly. The $20 bill was something that was returned due to overcharching. On the other hand, $270 was the amount that they paid for their room. This only means that $20 should be deducted from $270 and that's the amount that they paid for their room while $30 and $20 are the amount that the bell boy received as a tip
Total money of the three men: 3($100) = $300
They paid $270 for the room: $300 - $270 = $30
Tip for the bell boy: $30 - $30 = $0
Amount overcharged to them: $0 + $20 = $20
Tip to the bell boy: $20 - $20 = $0
They were left with no more money from the original $300.
Which function is the inverse of f(x) = -5x-4?
Answer:
B
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .
Answer:
B. \(-\frac{1}{5} x+\frac{4}{5}\)
Step-by-step explanation:
1. Rewrite the function as a linear equation:
y = -5x - 4
2. Swap x and y:
x = -5y - 4
3. Solve for y:
x+4 = -5y - 4+4
x + 4/-5 = -5y/-5
\(\frac{x+4}{-5}\) = y can be rewritten as \(-\frac{1}{5} x+\frac{4}{5}\)
4. Write in inverse notation:
f(x) = \(-\frac{1}{5} x+\frac{4}{5}\)
Therefore, B is the answer.
Pls solve this trigonometry question
Step-by-step explanation:
to solve this question you need to know that to find the angle you can use the inverse of a trigonometric function. henceforth, we can use arctan for this particular question.
arctan(11/5) is the answer.
the answer correct to 1 decimal point is 65.6 degrees.
comment if you have any doubts.
Find the angle θ between a = 3i − k, b = 2i + 2k
An equilateral triangle was rotated to create this figure. What is true about the axis of rotation?
The true statement about the axis of rotation is the option;
It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.
What is an axis of rotation?The axis of rotation is a straight line around which all points on a rotating body rotates.
The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle
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Divya counted 19 ants. Gregory
counted 6 ants. How many
more ants did Divya count than
Gregory?
ants
Answer:
Divya counted 13 more ants than gregory
Step-by-step explanation:
19-6=13
a. 7 + 3 x 2 + 4 = 25
7+ 3x2+4 =25
Answer:
False
Step-by-step explanation:
The sides are not equal.
Two less than the product of 3 and a number is equal to 6
Answer:
8/3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
3x - 2 = 6
3x = 8
x = 8/3
So, the number is 8/3.
A customer decides to build a fence around the backyard. The yard is rectanglar, and with the house and equal distance from both property lines. as a result, the fence will have five sections. The short sections, connecting to the house, are each 10feet in lebght. The yard then has a depth of 65 feet with a width of 80 feet. How much fencing is needed?
Answer:
290 ft
Step-by-step explanation:
Length of the yard is 65 ft
Width of the yard is 80 ft
The Perimeter of the yard = 2 (length + width)
= 2 (65 + 80)
= 2 145
= 290 feet
Fencing required = 290 feet
Let register x5 hold the hex number 01a74cd0hex and let x6 hold the hex number 00467b44 hex. If this information is enough, then answer the following three questions, else explain what extra information you may need to proceed.a) (1.5 pts) What are the contents of register x31 after the following instruction is executed? addi x31, x5, 32
b) (1.5pts) What would be the contents of register x28 after the following instruction is executed? add x28, x5, x6
c) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? ld x29, 1056decimal (x30)
d) (1.5 pts) What would be the contents of register x29 after the following instruction is executed? sd x28, 16 decimal (x29)
a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.
b) The contents of register x28 after the following instruction is executed is 278427652 decimal.
c)The contents of register x29 after the following instruction is executed is 1056 decimal
d) The contents of register x29 after the following instruction is executed is 278427652 decimal
In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.
a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.
b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.
c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.
d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal
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What is the meaning of "the cancellation laws"?
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
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8. For which of the following sets of ordered pairs will the slope between the two points be -3 ? A. (2,4) and (3.8) B. (4,1) and (4.6) C. (1.3) and (-5, -5) D. (1,0) and (0,3)
D. (1,0) and (0,3)
what is the circumference
The circumference is 12.56
consider the following two claims about whether the government should do more to help the poor and middle class
. A adjusted for inflation, income has risen significantly over recent decades with average households income in the us rising nearly 30% over the time period.
claim 2. a adjusted for inflation, income has been relatively stagnant for more than three decades, with average household income in the us rising less that 10%over that time period
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
Both claims are true, depending on the time period being considered. If we look at the time period over the last few decades, then Claim 1 is accurate, as average household income has risen nearly 30% over the time period, adjusted for inflation.
However, if we look at the past three decades, then Claim 2 is more accurate, as average household income has only risen less than 10%, adjusted for inflation.
Therefore, it is clear that the government should do more to help the poor and middle class, as their incomes have been relatively stagnant for an extended period of time.
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Please help due in 5 min!!!
Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
what is the smallest positive integer such that the value of f(x)_ -x^2 +5x exceeds the value of g(x)= -10x+10.
The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).
What in arithmetic is an integer?An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.
To find the smallest positive integer x for which f(x) exceeds g(x)
we need to set the two functions equal to each other and solve for x:
f(x) = g(x)
-x² + 5x = -10x + 10
Simplifying the equation, we get:
x² + 15x - 10 = 0
Using the quadratic formula, we can solve for x:
x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))
x = (-15 ± sqrt(265)) / 2
The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.
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8 ft
10 ft
Find the perimeter of this figure to
the nearest hundredth.
Use 3.14 to approximate .
P = [?] ft
Notice that only half of the circle is included in the figure!
The perimeter of the figure is 4(π + 9)ft.
What is perimeter?A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.
Given is a 2 - D figure as shown in the figure attached.
We can write the perimeter as -
P = P{rectangle} + P{semicircle}
P = 2(10 + 8) + (4π)
P = (4π) + (36)
P = 4(π + 9)
Therefore, the perimeter of the figure is 4(π + 9)ft.
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25 POINTS PLS HELP SOME1!!
The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;
The transformation are a rotation and a translation
What is a translation transformation?A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.
The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units
The correct option is the second option; The transformation are a rotation and a translation
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A restaurant offers a lunch special for $12 plus $3 tip for the server. Which expression represents the total cost for the special help mee now
Answer:
$15
Step-by-step explanation:
12+3+15
Answer:
Bill Amount: $12
Tip Percent: 25%
Divide By: 1
= $15
Sixteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, seven of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time (a) What kind of a distribution does X have (name and values of all parameters)? - nb(x; 6, nb(x; 6, 7/16) - nb(x; 6, 7, 16)
- b(x; 6, 7, 16) - h(x; 6, 7, 16)
- h(x; 6, 7/16) - b(x; 6, 7/16)
The hypergeometric distribution that we require is h:(x;6,7,17).
The hypergeometric distribution is a discrete probability distribution in probability theory and statistics. It computes the likelihood of having k successes in n draws taken without replacement from a finite population of size N. This population has K objects that exhibit the feature being tested. Each draws results in either a success or a failure.
For the given question, a DMV office has 16 individuals taking a driving test on a given day, out of which 7 are taking it for the first time. If 6 individuals are randomly assigned to an examiner, x denotes the number of those six who are taking the test for the first time.
The hypergeometric distribution of the above would be,
h:(x;6,7,17)
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What is 17 divided into 506
Answer:
17 ÷ 506 = 0.0335968379
506 ÷ 17 = 29.7647059
You are using a magnifying glass that shows the image of an object that is six tin image of the termite seen through the magnifying glass. 9.5 mm The image length through the magnifying glass is millimeters.
When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.
When using a magnifying glass, the image of an object appears larger. In this case, the termite is being viewed through a magnifying glass that magnifies the image by a factor of six. The actual length of the termite is not mentioned in the given information. However, it is stated that the length of the image seen through the magnifying glass is 9.5 mm.To determine the actual length of the termite, we can divide the length of the image by the magnification factor. Therefore, the actual length of the termite would be 9.5 mm divided by 6, which is approximately 1.58 mm.Therefore, when viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.For more questions on magnifying glass
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(2x+6yx)-(12ay+-6y) pls helpp pls
The required, simplified expression is 2x - 6y(2a - x) + 6y.
To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.
2x - 6y(2a - x) + 6y.
Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:
2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
= 2x - 6y(2a - x) + 6y
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1. Assume there are 5 red balls, 6 blue balls, and 4 green balls. If the balls are removed from the box one at a time, in how many different orders can the balls be removed assuming two balls of the same type are indistinguishable.
2. Give a recursive definition of the set of all even positive integers not divisible by 3.
Please write clearly so I can study from it! Try not to skip steps as much as you can.
Thank you!
There are 1307674368000 possible methods to remove each ball from the box one at a time.
what is probability?How likely something is to occur is known as its probability. We can discuss the probabilities of various outcomes—how likely they are—when we aren't sure how a particular event will turn out. examination of events subject to probability.
given,
the quantity of balls inside a box ,
four red balls
6 balls in blue
four green balls
The variety of ways the balls can be taken out of the box one at a time must be determined.
Here,
Combination is possible because order is imperceptible;
mixture formula; nCr is equal to n!/r1(n-r)!
Here, There are 15 balls in the box overall (5 + 4 + 6 balls).
Then.
¹⁵C₁₅ = 15! / 15! (15 - 15)! = 15! = 1307674368000
that is
There are 1307674368000 ways in which we can take the balls out of the box one at a time.
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Which type of sampling method is being employed in the following example?
The principle of Phoenix High School is conducting an in depth study of graduates since
she has been there. Firstm she creates a list of every student that has graduated since
she has been principle and assigns each graduate a number 1 to 1241. She then has a
computer randomly select 40 numbers between 1 and 1241 to determine which
students she will include in her sample.
O Simple Random Sampling
O Stratified Sampling
O Cluster Sampling
O Sampling of Convenience
O Systematic Sampling
The sampling method used in this problem is classified as:
Simple Random Sampling
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, all the options are assigned a number and then taken, hence a Simple Random Sample is used.
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The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
o 2
o 4
016
o 24