Answer:
O1=150
O3 =15O
O2 = 30
16 = 120
x = 60
14 = 60
15 = 60
12 = 60
9 = 120
10=120
1= 130
2=50
3= 130
4=50
6=50
7=50
8= 130
5= 130
Step-by-step explanation:
O1 + 30 = 180
01 = 180 - 30
O1 = 150
O3 = O1 = 150 VERTICAL OPPOSITE ANGLES
02=30 VERTICAL OPPOSITE ANGLES
Given the function f(x)=2x²+3, what is the average rate of change of f on the interval [2,2+h]?
Answer:
5.2
Step-by-step explanation:
Which represents the most effective chunking of the digit sequence 14929111776?
The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.
However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.
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Please help me I can not afford to fail this class!!!!
Answer:
YI =1, XI=7
Step-by-step explanation:
Two friends, Francisco and Zoe, had just bought their first cars. Zoe uses 14 gallons of gas to drive 390.6 miles in her car. The graph below represents the number of miles, y, that Francisco can drive his car for every x gallon of gas.
Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept
We can use the data given in writing out our equation
y = Number miles coveredx = number of gallon390.6 = 14x
If 14 gallons = 390.6 miles
1 gallon = x miles
x = 390.6 / 14
x = 27.9 miles
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When the dollar price of pounds rises, for example, from $1 = 1 pound to $2 = 1 pound, the dollar has ______ relative to the pound.
The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.
What is Depreciated relative?Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.
A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.
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The area of a closet is 100 sq feet. write the number in exponent form and word form.
For given number 100
the exponent form = 10²
the word form = One Hundred
For given question,
The area of a closet is 100 square feet.
We need to write the number in exponent form and word form.
First we write given number in exponent form
⇒ 100 = 10 × 10
⇒ 100 = 10²
So, the exponent form given number 100 is 10²
And the word form of given number is : One Hundred
Therefore, for given number 100
the exponent form = 10²
the word form = One Hundred
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Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
What is the answer to this question? :)
Answer: The answer for this question is C.
Helppppppppppplszzzz
Answer:
3x=15
Step-by-step explanation:
3(5)=15 it's the only one where x can be 5
what is S? (Algebra)
s - (-33) = 588
Answer:
s=555
Step-by-step explanation:
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
The value of the expression \(2[32-(4-1)]\) is \(58\) by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is \(2[32-(4-1)]\)
First, simplify the bracket \((4-1)\)
Then, \(2[32-(4-1)]=2[32-3]\)
Simplify the bracket \([32-3]\)
Then, \(2[32-3]=2\) × \(29\)
Multiply the numbers \(2\) and \(29\)
\(2\) × \(29=58\)
Hence, the expression \(2[32-(4-1)]\) is simplified to \(58\).
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A particular allergy medication has been shown to provide allergy relief in 75% of people who take the medication. If 48 allergy sufferers take the allergy medication, what would be considered an unusually small number of people within the 48 that get allergy relief.
Provide a single number that marks the boundary for unusually small values.
There having 23 or fewer people getting allergy relief would be considered an unusually small number within the 48 allergy sufferers.
To determine what would be considered an unusually small number of people within the 48 that get allergy relief, we can use the concept of statistical significance.
Given that the medication provides allergy relief in 75% of people, we can expect that, on average, 75% of the 48 allergy sufferers would experience relief. Therefore, the expected number of people who get allergy relief is 0.75 * 48 = 36.
To identify an unusually small number, we can consider values that deviate significantly from the expected value. In this case, we can use a statistical test to determine if the observed number of people getting allergy relief is significantly lower than the expected value.
One common approach is to use the binomial distribution and calculate the probability of observing a number of successes (people getting allergy relief) less than or equal to a certain threshold by chance alone.
If this probability is very low (below a pre-defined significance level, typically 0.05), we can consider the number of people falling below that threshold as unusually small.
In this case, let's assume a significance level of 0.05. We can calculate the cumulative probability of observing fewer than or equal to a certain number of successes using the binomial distribution
where:
- X is the number of people getting allergy relief,
- n is the total number of allergy sufferers (48 in this case),
- k is the threshold we want to test (an unusually small number),
- p is the probability of success (0.75).
We can calculate the cumulative probabilities for different values of k and find the smallest value of k for which the cumulative probability is less than or equal to 0.05. This value of k will mark the boundary for unusually small numbers.
Using statistical software or a binomial distribution calculator, we find that P(X ≤ 23) is approximately 0.0308, which is below 0.05.
Therefore, having 23 or fewer people getting allergy relief would be considered an unusually small number within the 48 allergy sufferers.
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A rectangle has a width of x and a length that is 13 less than twice its width. Which rectangle shows the same relationship?
The rectangle that shows the same relationship as described in the problem is the one represented by Option 2: Width = x, Length = 2x - 13.
Let's analyze the relationship given in the problem:
The width of the rectangle is denoted as x.
The length of the rectangle is 13 less than twice its width, which can be expressed as:
Length = 2 * Width - 13
To find the rectangle that shows the same relationship, we need to examine the options and match the corresponding width and length expressions.
Let's consider the options:
Option 1: Width = 2x - 13, Length = x
Option 2: Width = x, Length = 2x - 13
Option 3: Width = x + 13, Length = 2x
Option 4: Width = 2x, Length = x - 13
Analyzing the options:
Option 1: Width = 2x - 13, Length = x
This option does not match the given relationship. The length expression is incorrect.
Option 2: Width = x, Length = 2x - 13
This option matches the given relationship. The length expression is correct: twice the width minus 13.
Option 3: Width = x + 13, Length = 2x
This option does not match the given relationship. The length expression is incorrect.
Option 4: Width = 2x, Length = x - 13
This option does not match the given relationship. The length expression is incorrect.
Therefore, the rectangle that shows the same relationship as described in the problem is the one represented by Option 2: Width = x, Length = 2x - 13.
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Question
A rectangle has a width of x and a length that is 13 less than twice its width. Which rectangle shows the same relationship?
The table represents the function fix).
f(x)
X
-3
-2
−1
0
1
2
3
-3
0
3
69
9
What is (3)?
09
F(3) is equal to 9, based on the given table and the corresponding values of x and f(x). Option D.
To find the value of F(3) based on the given table, we look at the corresponding x-value of 3 and find its corresponding f(x) value.
From the table, we see that when x = 3, f(x) = 9. Therefore, F(3) = 9.
The table shows the values of x and their corresponding f(x) values. We can see that when x increases by 1, f(x) also increases by 3. This indicates that the function has a constant rate of change, where the change in f(x) is always 3 units for every 1 unit change in x.
Given that F(3) represents the value of the function when x = 3, we look at the x-values in the table and find the corresponding f(x) value. In this case, when x = 3, f(x) = 9.
Therefore, the value of F(3) is 9. Option D is correct.
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yuh just like yuh
... I need help
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In the image, there is only one section that is above 2 1/4 and below 2 3/4, which is 2 1/2. there are 6 crosses on 2 1/2, indicating 6 students
2. What is the measure of Angle M? N M 1000 Р
Answer:
Whers the pic
Step-by-step explanation:
A high-school club has members the ratio of males to females is 5 to 3 how many males are in the club
Answer:
it depends on how many females are there
Step-by-step explanation:
I need to know how many females are there
Answer: If there are x total members, then the number of males is 5/8x
Help please Its immediate
Answer:
A
Step-by-step explanation:
This is an inverse
x = 1/9y -2
x+2 = 1/9y
y = 9x+18
I'm been doing this question about an hour still can't solve so I really need your help! Really appreciate if u do :D
Explanation:
1 hat = 45 dollars
6 hats = 6*45 = 270 dollars
1 phone = 40 dollars
4 phones = 4*40 = 160 dollars
total = $270 + $160 = $430
Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430
In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.
The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(2, 2);
point on the circle: (−6, 5)
The circumference is about ?
Answer:
Circumference ~ 53.4
Step-by-step explanation:
Use the distance formula to get the radius of the circle. The radius is about 8.5. Now put 8.5 into the formula 2(pi)r for the Circumference. Rounding to the nearest tenth the answer is 53.4
9 thousands times 10
describe the graph of the solution
First, we want to note two things:
We have a solid circle at -10, so -10 IS part of the solution.We have shading to the right of -10, meaning we also need to include numbers to the right of -10, or numbers greater than -10.
We can describe this with an inequality: x ≥ -10
Be sure you use ≥ and not >, since -10 is included.
We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.
You can also use set-builder notation: { x | x ≥ -10 }
at a fiat dealership a total of 3 cars of a particular model must be transported to another dealership. if there are 25 cars of this type, how many ways can they be loaded onto the truck for transport?
The number of ways to load the cars onto the truck is \(^{25}C_3\) i.e. 2300 ways.
To find the number of ways to load the cars on the truck we can use the formula for combination, which is given by -
C(n,k) = n! / (k! (n-k)!)
where n is the total number of cars (25), k is the number of cars we want to choose (3)
Using this formula, we can calculate the number of ways to load the cars as follows -
C(25,3) = 25! / (3! (25-3)!) = 252423 / (321) = 2300
Hence, there are 2300 ways to load 3 cars out of 25 onto the truck for transport.
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What is the value of x?
2x
x +4
X+1
12
Answer:
x = 8
Step-by-step explanation:
AB/AC = BD/DC
2x/12 = x+4/x+1
12x + 4 = 2x² + 2x
2x² - 10x - 48 = 0
x² - 5x - 24 = 0
(x-8) (x+3) = 0
x = 8 (or) x= -3 (impossible)
x = 8
a pharmaceutical company wants to conduct a survey of 40 individuals who have high cholesterol. the company has obtained a list from primary care physicians throughout the country of 6800 individuals who are known to have high cholesterol. design a sampling method to obtain the individuals in the sample. be sure to support the choice. question content area bottom part 1 what sampling method(s) is/are valid? select all that apply.
The valid sampling method(s) for obtaining a sample of individuals with high cholesterol from the list provided are simple random sampling, stratified sampling, and cluster sampling.
- Simple random sampling: This method involves randomly selecting 40 individuals from the list of 6800 individuals.
- Stratified sampling: This method involves dividing the list of 6800 individuals into different strata based on relevant characteristics.
- Cluster sampling: This method involves dividing the list of 6800 individuals into smaller clusters (e.g., primary care physician offices or geographical areas).
This method is useful when it is difficult or costly to reach individuals scattered across a wide area.
Each of these methods has its advantages and disadvantages, so the choice depends on the specific needs and constraints of the pharmaceutical company.
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How much more organic carbon would be saved annually by using reduced tillage? A. 12,000 g/ha. B. 70 kg/ha. C. 7,000 g/ha. D. 120 kg/ha.
The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.
Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.
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* 11. Is the following proposition true or false? Justify your conclusion. For all integers a, b, and c, if gcd(a, b) = 1 and c | (a + b), then ged(a, c) = 1 and gcd(b, c) = 1.
The statement "For all integers a, b, and c, if gcd(a, b) = 1 and c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1" is TRUE for all integers a, b, and c.
How to justify your conclusion that the proposition is true?The proof is required to demonstrate that the proposition is true.
Consider the following two statements:
If gcd(a, b) = 1, then there exists x and y, integers, such that ax + by = 1.
[Euclid's Lemma]a and b are coprime (that is, gcd(a, b) = 1) if and only if there exist integers x and y such that ax + by = 1.
[Bezout's Theorem]Here are the steps for proving that the proposition is true:
If gcd(a, b) = 1, then there exist integers x and y such that ax + by = 1.
Multiplying the previous equation by c yields cax + cby = c, which is equivalent to c | (a + b).
We must now demonstrate that if c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1.
To accomplish this, suppose d is a common divisor of a and c.
Then, there exist integers x and y such that a = dx and c = dy.
Therefore, c | (a + b) means that dy | dx + b, which simplifies to d | b.
Thus, gcd(a, c) = d and d | b, so d is a common divisor of b and c.
The greatest common divisor of b and c is gcd(b, c), which is no more than d because d is a common divisor.
Similarly, gcd(b, c) is a divisor of a and c if d is a divisor of b and c.
If gcd(a, b) = 1 and c | (a + b), then gcd(a, c) = 1 and gcd(b, c) = 1.
This is true because of Euclid's lemma, which states that if a common divisor d divides two integers a and b, then it also divides their linear combination.
Therefore, gcd(a, c) and gcd(b, c) divide gcd(a, b) = 1, which means they are also equal to 1.
The proof is now complete.
The statement is true for all integers a, b, and c.
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4x 10 > 6 solve inequalites
Answer:
40 is greater than 6
Step-by-step explanation:
When Julia is writing a first draft, there is 0.7 probability that there will be no spelling mistakes on a page.
One day, Julia writes a first draft that is 4 pages long.
Assuming that Julia is equally likely to have a spelling mistake on each of the 4 pages, what is the
probability that she will have no spelling mistakes on at least one of them?
Round your answer to the nearest hundredth.
P(at least one without mistakes)
=
The probability of having no spelling mistakes on at least one of the four pages is 1 - 0.0081 = 0.9919, or approximately 0.99 when rounded to the nearest hundredth.
To find the probability that Julia will have no spelling mistakes on at least one of the four pages, we can use the complement rule. That is, we can find the probability that she has at least one page with a spelling mistake, and then subtract that probability from 1.
The probability of having no spelling mistakes on a page is 0.7, so the probability of having at least one spelling mistake on a page is 1 - 0.7 = 0.3.
Assuming Julia is equally likely to have a spelling mistake on each of the four pages, the probability of having at least one spelling mistake on all four pages is 0.3 x 0.3 x 0.3 x 0.3 = 0.0081.
Therefore, the probability of having no spelling mistakes on at least one of the four pages is 1 - 0.0081 = 0.9919, or approximately 0.99 when rounded to the nearest hundredth.
So, the final answer is:
P(at least one without mistakes) = 0.99
To solve this problem, we can find the probability that Julia will have spelling mistakes on all 4 pages, and then subtract that from 1 to find the probability of her having no spelling mistakes on at least one page.
1. First, find the probability of having a spelling mistake on a single page. Since there's a 0.7 probability of having no mistakes, there is a 1 - 0.7 = 0.3 probability of having a spelling mistake on a page.
2. Next, find the probability of having spelling mistakes on all 4 pages. Since the events are independent, we multiply the probabilities: 0.3 * 0.3 * 0.3 * 0.3 = 0.0081.
3. Finally, subtract the probability of having spelling mistakes on all 4 pages from 1 to find the probability of having no spelling mistakes on at least one page: 1 - 0.0081 = 0.9919.
Round your answer to the nearest hundredth: 0.9919 ≈ 0.99.
The probability that Julia will have no spelling mistakes on at least one page is approximately 0.99.
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if you were to make a restaurant, and need 29 items, how much of each would you have?
Answer:
3 beverages, 5 appetizers, 8 entrees, and 4 desserts.
Step-by-step explanation:
I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.