Answer:3.5%
Step-by-step explanations
15.5-12=3.5
Factor the problem X^2-7x-30
Answer:
The answer is (x+3)(x-10)
Step-by-step explanation:
x²-7x-30
x²-10x+3x-30
x(x-10)+3(x-10)
(x+3)(x-10)
(Chapter 12) If u * v = 0 and u X v = 0, then u or v = 0
Therefore, in either partial derivatives, we have u = 0 or v = 0.
The given information implies that two vectors u and v satisfy:
u * v = 0, where * denotes the dot product between vectors.
u X v = 0, where X denotes the cross product between vectors.
From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.
From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:
|u X v| = |u| * |v| * sin(θ)
= 0
Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).
In the case where u and v are parallel, we have:
u * v = |u| * |v| * cos(θ)
= |u|²
= 0
This implies that |u| = 0, which means that u = 0.
In the case where u and v are anti-parallel, we have:
u * v = |u| * |v| * cos(θ)
= -|u|²
= 0
This again implies that |u| = 0, which means that u = 0.
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The test scores for the students in Mr. Miller’s math class are shown here.
52, 61, 69, 76, 82, 84, 85, 90, 94
What is the range of the test scores?
The range of the test scores in Mr. Miller's math class is 42.
What is the range?Mathematically, the range refers to the difference between the highest value and the lowest value in a data set.
The range is computed by subtraction of the lowest value from the highest value.
Mr. Miller can use the range to measure the spread or dispersion of the test scores.
Test Scores:
52, 61, 69, 76, 82, 84, 85, 90, 94
Highest score = 94
Lowest score = 52
Range = 42 (94 - 52)
Thus, we can conclude that for the math students in Mr. Miller's class, the range of their test scores is 42.
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Graph the line that passes through the points (-2,-1) and (-4,5) and determine the equation of the line
Answer:
y = -3x-7Step-by-step explanation:
Find the slope:
Going from (-4,5) to (-2,-1):
Rise = (-1 - 5) = -6
Run = (-2-(-4) = 2
Slope = Rise/Run = (-6/2) = -3
y = mx + b
y = -3x + b
Find b by using either given point. I'll use (-2,-1)
y = -3x + b
-1 = -3(-2) + b
b = -7
See attachment.
---
y = -3x-7
A group of marine biologists tags 45 great white sharks off the coast of Mexico
to study migratory patterns. All of the tag numbers are unique. Weeks later, the
marine biologists travel to Hawaii. While there, they randomly capture and release
20 great white sharks per day, for three consecutive days. On the first day, 3 of the
sharks have the original tags. On the second day, 2 of the sharks have the original
tags. On the third day, 4 of the sharks have the original tags. Based on the data,
what is the estimated population of great white sharks that have migrated from
Mexico to Hawaii?
Yall are some cheaters. Quit looking it up on this website like, dang....
when a 6ft tall fence pole casts a 10 ft shadow, a pine tree casts a 45 ft shadow. How tall is the tree?
Answer: The tree is 27 feet tall.
Step-by-step explanation:
Here's what we know:
6/10 = x/45 (a 6 foot object creating a 10 shadow is equivalent to something else making a 45 shadow)
We need to isolate x. Multiply both sides by 45:
6*45/10 = x
We can factor out a 2:
3*45/5 = x
We can also factor out a 5:
3*9/1 = x
27 = x
The tree is 27 feet tall.
What is the solution to the system of equations?
Answer:
If you are asked if a point is a solution to an equation, we replace the variables with the given values and see if the 2 sides of the equation are equal (so is a solution), or not equal (so not a solution). A solution to a system of equations means the point must work in both equations in the system.
a 20-sided die has sides with the following symbols: two sides are blank three sides have green squares four sides have red triangles five sides have blue circles six sides have yellow crosses the die will be rolled 12 times. let x be the number times the die lands on a green square. x has a binomial distribution. what is a trial? [ select ] what would be considered a success? [ select ] how many trials? n
A trial in the context of a binomial distribution refers to a single experiment or attempt with a success or failure outcome.
A success in this problem is defined as the die landing on a green square, and the number of trials is 12.
A trial, in this context, refers to rolling the 20-sided die once.
When the die is rolled 12 times, each of those 12 rolls is considered a separate trial.
A success is the outcome that we are interested in tracking.
In this case, a success is when the die lands on a green square.
The number of trials, denoted by 'n', is the total number of times the die is rolled.
In your question, the die will be rolled 12 times, so n = 12.
To recap:
- A trial: Rolling the 20-sided die once
- A success: The die landing on a green square.
- Number of trials (n): 12.
Since x has a binomial distribution, this implies that each trial is independent, and the probability of success remains constant throughout all trials.
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72= 27+ 9s solve the equation
Answer:
s=5
Step-by-step explanation:
72=27+9s
Subtract 27 from both sides.
72-27=9s+27-27
45=9s
Divide 9 from both sides.
5=s
you work at a relator firm and your boss asked to pull out information about houses sold in the last week, such as price, size, age, number of rooms, etc. what type of data is this? panel (longitudinal) data time-series data cross-sectional data none of the above all of the above
This type of data is cross-sectional data.
In statistics and econometrics, cross-sectional data, or a cross-section of a study population, is a type of data gathered by monitoring numerous subjects (such as individuals, firms, countries, or regions) at one point or throughout the course of time. It's also possible that the analysis disregards variations in time. Cross-sectional data analysis often entails contrasting the variations among pre-selected respondents.
Time series data, in which the same small-scale or aggregate entity is seen multiple times in time, differs from cross-sectional data. A different kind of data called panel data (also known as longitudinal data) combines the concepts of cross-sectional and time series data and examines how the topics (firms, people, etc.) develop throughout a time series. Panel data differs from cross-sectional data that has been pooled over time.
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3) A box contains 4 yellow marbles, 2 blue marbles, and 3 red marbles. If a marble is drawn randomly from
the box, but the marble drawn is replaced. What is the probability of drawing 2 yellow marbles and 1 red
marble?
Hey buddy I am here to help!
yellow marbles = 4
blue marbles = 2
red marbles = 3
total marbles = 9
1 random marbles taken off probability left = 8/9
1 random marble taken off probability = 1/9
marble if replaced = + 1
if one marble if replaced then = 8/9 + 1/9 = 9/9 that means total marbles r 9
yellow marbles drawn off = 2
so... 4 - 2 = 2 marbles left
red marbles taken off = 1
so... 3 -1 = 2 marbles left
probability/answer = 3/9 = 1/3
Hope it helps!
Plz mark my answer brainliest
3. Jasmine saved the money she earned at her job over two weeks. Jasmine saved $110 during Week 2. Jasmine saved 5 times more during Week 2 than Week 1. How much did Jasmine save during week 1? can someone help me really please
Answer:
$22
Step-by-step explanation:
If Jasmine saved 110 during week 2, and this was 5 times more than in week 1, then in week 1 she saved 110/5 = 22 ($)
Determine the value of z.
Question 1 options:
A)
82°
B)
98°
C)
135°
D)
90°
Answer:
b
Step-by-step explanation:
180 minus 82
a rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a wire fence. using 100 meters of fencing, what is the largest rectangular region that can be enclosed? give both the dimensions and the area.
Dimensions of the rectangular plot are 25' × 50'.
The area of a rectangular plot is 1250m.
What is the dimension of the rectangle?
Four perpendicular sides make up the two-dimensional geometric shape of a rectangle. Two of the four sides are distinct, and the other two resemble the distinctive sides. The dimensions of a rectangle are these two distinctive sides.
Here, we have
100 meters fencing
We have to find the dimensions and area of the rectangular plot.
so, 2x + y = 100
y = 100 - 2x
A = xy
A = x (100 - 2x)
A = 100x - 2x²
We differentiate w.r.t x, and we get
A' = 100 - 4x
We put, A'= 0
100 - 4x = 0
x = 25
y = 50
A = xy
A = 25 × 50
A = 1250m
Hence, the dimension of the rectangular plot is 25' × 50'.
The area of a rectangular plot is 1250m.
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A football team has a probability of 0.8 of winning when playing any of the other four teams in its conference. If the games are independent, what is the probability the team wins all its conference games
Since the probability of winning each game is independent and remains constant at 0.8, we can calculate the probability of winning all the conference games by multiplying the individual probabilities together.
The football team has four conference games against the other four teams. The probability of winning each game is 0.8. Therefore, the probability of winning all four games is:
0.8 * 0.8 * 0.8 * 0.8 = 0.4096So, the probability that the team wins all its conference games is 0.4096, or 40.96%.
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i really need this pleaasehelp
Answer:
25
Step-by-step explanation:
25
Answer:
25
Step-by-step explanation:
25
|x - 2] + 5 = 9
anyone know the answer?
Answer:
6
Step-by-step explanation:
replace x with 6, so 6-2+5=9
what regular polygon has an interior angle of 156 degrees
Answer:
regular pentadecagon
Step-by-step explanation:
it has 15 sides
that is what matches the exterior angled sum property - 360degree
let me explain it
1 side = 180 - 156 = 24
360/24 = 15
mark me brainliest and thank me if you like the answer
How do I translate and solve five times the sum of 6 and some number is 20
First we need to convert the sentence to an algebraic expression
We will break down the parts to do so:
sum of 6 and some number
let the number = n
sum means we will be adding 6 to the number
So, sum of 6 and some number = 6 + n
5 times the sum: this means we will multiply the sum we got above by 5
5 times then sum of 6 and some number = 5(6 + n)
five times the sum of 6 and some number is 20:
This means the multiplication of the sum by 5 equals to 20
So, the final algebraic expression:
5(6 + n) = 20
Next, we will solve for the unknown number which is n in this case:
5(6 + n) = 20
expand the parenthesis:
5(6) + 5(n) = 20
30 + 5n = 20
subtract 30 from both sides:
30 - 30 + 5n = 20 - 30
5n = -10
divide both sides by 5:
5n/5 = -10/5
n = -2
Hence, the unknown number is -2
SOMEONE HELP ME!!!! I WILL GIVE BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
well if we draw the graph we have the following image, and the only one that applies is
B
because 4>3
The heights of the bars of a histogram correspond to ______ values.
The heights of the bars of a histogram correspond to Frequency values.
A histogram is a type of graph used to show the distribution of a dataset. It is used to display the frequency of values within the data set by depicting the number of observations that fall within a set of ranges.
The heights of the bars of a histogram correspond to the frequency of values within the data set.
A histogram is used to illustrate the distribution of data within a set by showing the number of data points that fall within a specified range of values (called bins).
The height of each bar in the histogram represents the frequency of values within the bin range. A taller bar indicates that more data points fall within that range. The area of each bar is also proportional to the frequency of the values in the bin.
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Central high school plays eastern high school in a basketball game. eastern had double the score of central before central scored a three-pointer as the game ended. the variable, c, represents central's score before the three-pointer. express the total points scored in the game as a variable expression. check all that apply. 2c c 3c 3 2c 3 2c c – 3 2c – c 3 2c c 3
The total points scored in the game as a variable expression are
3c + 3 or 2c + c + 3
Eastern had double the score of Central before Central scored a three-pointer as the game ended.
i.e, Eastern's total score in expression:
Eastern = 2 * Central's score
Eastern = 2c
Central's total score in expression:
Central = c+3
Now,
The total points scored in the game as a variable expression are:
= Central + Eastern
= c + 3 + 2c
= 2c + c + 3
or
= 3c + 3
Hence, the total points scored in the game as a variable expression are
3c + 3 or 2c + c + 3
An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division.
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f(x)=2x^2-5x-3 g(x)=2x^2+5x+2 find (f/g)(x)
If f(x)=2x²-5x-3 g(x)=2x²+5x+2 then (f/g)(x) = (x - 3) / (x + 2).
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
To find (f/g)(x), we need to divide f(x) by g(x) as follows:
f(x) = 2x² - 5x - 3
g(x) = 2x² + 5x + 2
f(x) / g(x) = (2x² - 5x - 3) / (2x² + 5x + 2)
To simplify this expression, we can factor the numerator and denominator:
f(x) / g(x) = [(2x + 1)(x - 3)] / [(2x + 1)(x + 2)]
Now, we can cancel out the common factor of (2x + 1) from both the numerator and denominator:
f(x) / g(x) = (x - 3) / (x + 2)
Therefore, (f/g)(x) = (x - 3) / (x + 2).
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Consider the graph of h(r) , which represents the height of a golfball seconds after it has been hit.
Time (in seconds)
Which best describes the domain for the function h(I) ?
The Domain is 0 ≤ x ≤ 4 and Range is 0 ≤ y ≤ 80.
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
We know that the domain of a function is the set of values that we are allowed to plug into our function.
From the Graph the x values ranges from 0 to 4.
So, domain is 0 ≤ x ≤ 4.
and, the range is the corresponding output for the input
From the Graph the y values ranges from 0 to 80.
So, Range is 0 ≤ y ≤ 80.
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Solve Equation
-14 = -2(5-x)
Three artificial flaws in type 316L austenitic stainless steel plates were fabricated using a powderbed-based laser metal additive manufacturing machine. The three artificial flaws were designed to have the same length, depth, and opening.
Flaw A is a simple rectangular slit with a surface length of 20 mm, depth of 5 mm, and opening of 0.4 mm, which was fabricated as a reference.
Flaw B simulates a flaw branched inside a material
Flaw C consists of 16 equally spaced columns
What type of probe do you propose to be used and suggest a suitable height, diameter and frequency? The flaws were measured by eddy current testing with a constant lift-off of 0.2 mm.
Draw the expected eddy current signals on the impedance plane and explain, in your words, why the eddy current signals appear different despite the flaws having the same length and depth
Step 1: The proposed probe for flaw detection in type 316L austenitic stainless steel plates is an eddy current probe with a suitable height, diameter, and frequency.
Step 2: Eddy current testing is an effective non-destructive testing method for detecting flaws in conductive materials. In this case, the eddy current probe should have a suitable height, diameter, and frequency to ensure accurate flaw detection.
The height of the probe should be adjusted to maintain a constant lift-off of 0.2 mm, which is the distance between the probe and the surface of the material being tested. This ensures consistent measurement conditions and reduces the influence of lift-off variations on the test results.
The diameter of the probe should be selected based on the size of the flaws and the desired spatial resolution. It should be small enough to accurately detect the flaws but large enough to cover the entire flaw area during scanning.
The frequency of the eddy current probe determines the depth of penetration into the material. Higher frequencies provide shallower penetration but higher resolution, while lower frequencies provide deeper penetration but lower resolution. The frequency should be chosen based on the expected depth of the flaws and the desired level of sensitivity.
Overall, the eddy current probe with suitable height, diameter, and frequency can effectively detect the artificial flaws in type 316L austenitic stainless steel plates fabricated using a powderbed-based laser metal additive manufacturing machine.
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pls help me find the area of compound shapes?!?!
Stella's monthly bank statement showed the following deposits and withdrawals: − −$34.71, − −$100.08, $111.62, $92.93, − −$27.27 If Stella's balance in the account was $20.1 at the beginning of the month, what was the account balance at the end of the month?
Answer: $ 27.27
Step-by-step explanation:
Answer:
62.59
Step-by-step explanation:
Lin solved the equation 8(x - 3) + 7 = 2x(4 - 17) incorrectly. Identify the TWO errors Lin made while solving.
Lin’s solution:
Answer:
when she subtracts 8x to 26 and dividing
Step-by-step explanation:
Step-by-step explanation:
\(8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} \)
5. Cole worked for a concrete company last weekend. On Saturday, his gross income was $350
and his net income was $307.05. On Sunday, his gross income was $280 and his net income
was $246.35. What amount did Cole pay in payroll tax last weekend?