1. Finding the first five numbers in each sequence is as follows:
Sequence 1: 0 2 4 6 8 10Sequence 2: 0 4 8 12 16 20.2. The ordered pairs with the corresponding terms of the sequences are (0, 0), (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
3. For the graph, I cannot draw one for you, but Sequence 1 will be on the Y-axis, starting with zero, and Sequence 2 on the X-axis.
The line intercepts will subsequently meet at (2, 4), (4, 8), (6, 12), (8, 10), and (10, 20).
What is a sequence?A sequence is an ordered pattern of numbers or objects.
The length of a sequence describes the number of elements.
Data and Calculations:Pattern rule for Sequence 1: Start with zero and add 2
Pattern rule for Sequence 2: Start with zero and add 4
Sequence 1: 0 2 (0 + 2) 4 (2 + 2) 6 (4 + 2) 8 (6 + 2) 10 (8 + 2)
Sequence 2: 0 4 (0 + 4) 8 (4 + 4) 12 (8 + 4) 16 (12 + 4) 20 (16 + 4)
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What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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What amount of a 40% acid solution must be mixed with 200 mL 10% solution to produce a 20% solution?
Answer:
Step-by-step explanation:
(x + 200)20 = 200(10) + x(40)
20x + 4000 = 2000 + 40x
2000 = 20x
X = 100 mL
Which of the following represents the inverse of the linear function y = 3x - 24 ?
Answer:
the inverse function is number 1
The inverse function of the the function y = 3x - 24 is y = x/3 + 24. Then the correct opion is A.
What is the inverse of a function?Suppose that the given function is
f: X → Y
Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is
f⁻¹: Y → X
(and vice versa).
It simply means that the inverse of 'f' is a reverse operator, that takes back the effect of 'f'
The function is given below.
y = 3x - 24
Then the inverse of the function will be
x = 3y - 24
3y = x + 24
y = x /3 + 8
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An instructor grades on a curve (normal distribution) and your grade for each test is determined by the following where S = your score. A-grade: Su + 20 B-grade: u + OSS< + 20 C-grade: u-OSS<+ D-grade: -20 SS-O F-grade: S
The formula for a curve grade is based on a normal distribution with the average score being 0.
The formula for each grade is as follows:
A-grade: S + 20
B-grade: S + 10S< + 20
C-grade: S - 10S< + 20
D-grade: S - 20
F-grade: S < 0
The formula is based on a normal distribution with the average score being 0.
For example, if the average score is 50 and your score is 55, then you would receive an A-grade because your score is 5 points above the average. This can be calculated by adding 20 points to your score of 55 resulting in a grade of\(75 (55 + 20 = 75)\). Similarly, if your score is 40, then you would receive a C-grade because your score is 10 points below the average. This can be calculated by subtracting 10 points from your score of 40 resulting in a grade of 30 (40 - 10 = 30).
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How would you use a number line to
order integers from greatest to least?
A Graph the absolute values, then read
them from left to right.
B Graph the integers, then read them
from left to right.
C Graph the integers, then read them
from right to left.
What is the range of the function y=3/x+8?
AYA8
-8
05y<
25y
Answer: (−∞,8)∪(8,∞),{y|y≠8}
Step-by-step explanation:
Answer: The range of a function is the set of all possible output values (y-values) for a given function.
For the function y = 3/x+8, we can find the range by analyzing the domain of the function. The domain of a function is the set of all input values (x-values) for which the function produces a valid output value.
The range of this function is all real numbers, since the denominator x+8 can't be equal to zero.
However, we can't express the range of the function as a specific set of numbers because the range is defined as all real numbers. The answer would be R
It's worth noting that if we change the function for example to y = 3/x-8, the domain would be x≠8 and the range would be y<-8/3
Step-by-step explanation:
Tomas is paid $200 for 5 days of work. How much is he paid per day?
40 dollars per day imk if I'm wrong
please help and don't say soothing random to get points
Answer: Last equation (D)
Step-by-step explanation:
Since they want the perpendicular slope, we must take the negative reciprocal if the slope in the equation given. So the negative reciprocal of -1/3 is 3 so that takes out the first and third equation. Now we have to use point slope which is y - y1= m (x - x1) . Doing this gives us y - 5 = 3(x+2) which is the last equation.
Jada has a recipe for yellow cake. She uses 9 1/3 cups of flour to make 4 cakes. Andre will follow the same recipe. He will make c cakes using F cups of flour. Which of these equations represents the relationship between C and F?
A. c=16/3 F
B.c=3/16 F
C. c=3/7 F
D.c=7/3 F
Therefore, the equation that represents the relationship between C and F is c = 7/3 F
What equation of number would that be?The meaning of an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.
Clare must use 9 containers, each of which has a 1/3 portion filled with flour to make 4 pastries.
So, Andre's recipe will have the same ratio of cups of flour per cake:
We can set up the proportion as follows:
F cups / c cakes = (9 ×1/3 cups) / 4 cakes
To solve for C, we can multiply both sides by c:
9× 1/3 cups / 4 cakes * c cakes = F cups
Multiplying the left side gives:
(28/3) * (c/4) = F
Simplifying:
7c/3 = F
Therefore, the equation that represents the relationship between C and F is c = 7/3 F
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When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constant force acts upon an object with mass 4kg, the acceleration of the object is 15/ms2. If the same force acts upon another object whose mass is
10kg, what is this object's acceleration?
Answer:
\(a = 6m/s^2\)
Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;
\(a\ \alpha\ \frac{1}{m}\)
Convert variation to equality
\(a = \frac{F}{m}\); Where F is the constant of variation (Force)
Make F the subject of formula;
\(F = ma\)
When mass = 4kg; Acceleration = 15m/s²
\(F = 4 * 15\)
\(F = 60N\)
When mass = 10kg; Substitute 60 for Force
\(F = ma\)
\(60 = 10 * a\)
\(60 = 10a\)
Divide both sides by 10
\(\frac{60}{10} = \frac{10a}{10}\)
\(a = 6m/s^2\)
Hence, the acceleration is \(a = 6m/s^2\)
2. Julio has 1/6 pound of candy. He puts the candy
into 4 bags. Write an expression that represents the
fraction.
Answer:
4/6
Step-by-step explanation:
(1/6 times 4)make 4 into a fraction and that is 4/1 multyply the numerator and denominator 6x1=6 so 6 is the denominator and 4x1 is 4 so 4 is the numerator so its 4/6
The expression that represents the fraction is 1/6 * 1/4 or 1/24
How to determine the fraction?The given parameters are:
Amount of candy = 1/6 pounds
Number of bags = 4
The expression that represents the amount in each bag is:
Amount = Amount of candy/Number of bags
This give
Amount = 1/6 / 4
Express as product
Amount = 1/6 * 1/4
Evaluate
Amount = 1/24
Hence, the expression that represents the fraction is 1/6 * 1/4 or 1/24
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The sum of three consecutive numbers is 150. Find them.
The sum of three consecutive numbers for 150 is 49,50,51.
Three consecutive numbers: x+(x+1)+(x+2)
x+x+1+x+2= 150
3x+3 = 150
3x = 150-3
3x= 147
X = 147/3
49 =x
But we also need to find (x+1) and (x+2)
49+1= 50
49+2= 51
49+50+51 = 150
The three consecutive numbers are 49,50,51.
Meaning: Numbers that follow one another numbers sequentially are known as consecutive numbers. The difference between any two numbers is always 1. A series of numbers' mean and median are equal. If n is a number, then it follows that n, n+1, and n+2 are also numbers. Examples. 1, 2, 3, 4, 5.
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Help plssssssssssssssssss
Answer:
47mph
Step-by-step explanation:
divide 141 by 3
Answer: 47
Work: To find the rate of speed, you divide 141 by 3, and you get 47 mph.
The ages of workers in a certain industry are approximately normally distributed with a mean of 30 years and a
standard deviation of 3.5 years. A recruiter wondered if that held true for workers in a certain state. The
recruiter took a random sample of n = 3 of these workers from the state, and the mean age of the workers in
the sample was ĉ = 26 years.
To see how likely a sample like theirs was to occur by random chance alone, the recruiter performed a
simulation. They simulated 200 samples of n = 3 ages from a normal population with a mean of 30 years and
standard deviation of 3.5 years. They recorded the mean of the ages in each sample. Here are the sample means
from their 200 samples:
Answer:
C. p-value is 0.07
Step-by-step explanation:
The sample mean was 4 years below the hypothetized mean, and 14 of 200 simulated results were this far or farther above or below the hypothesized mean.
Brainliest, please :)
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
Given the function f(x) = 4x − 1 and the linear function g(x), which function has a greater slope?
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
After the solution, we can conclude that (A) the slope of f(x) is higher.
What is the slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x). The letter M stands for the slope of a function of the form y=Mx+C, so the slope of the function F(x) =4.Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:
\(m=\frac{y^2-y^1}{x^2-x^1}\)
Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).
This implies:
x¹ = 4y¹ = 7x² = 6y² = 9You just need to enter it into the formula:
m = 9-7/6-4m = 2/2m = 1Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).
Therefore, (A) f(x) has a greater slope.
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The complete question is given below:
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
Answer:
After the solution, we can conclude that (A) the slope of f(x) is higher.
Step-by-step explanation:
What is the slope?
A line's steepness can be determined by looking at its slope.
The slope is calculated mathematically as "rise over run" (change in y divided by change in x).
The letter M stands for the slope of a function of the form y=Mx+C, so the slope of the function F(x) =4.
Now that you have a function but can only evaluate it using a table, you can determine the slope using the following formula:
Simply choose two points from the table to enter into the formula; in this example, we'll use points (4, 7) as our points 1 and our second point is (6,9).
This implies:
x¹ = 4y¹ = 7
x² = 6y² = 9
You just need to enter it into the formula:
m = 9-7/6-4
m = 2/2
m = 1
Now that we know both slopes, you can see that g(x) has a slope of 1, while f(x) has a slope of 4, indicating that f(x) has a steeper slope than g(x).
Therefore, (A) f(x) has a greater slope.
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The complete question is given below:
Given the function f(x) = 4x + 10 and g(x), which function has a greater slope?
x g(x)
2 5
4 7
6 9
f(x) has a greater slope.
g(x) has a greater slope.
The slopes of f(x) and g(x) are the same.
The slope of g(x) is undefined.
What
percentage
of a day is 2 hours and 24 minutes?
Answer: 8.33 %
Step-by-step explanation: There are twenty-four hours in a day. The percent that will be 2 hours a day ×100 = 8.33 % Therefore, the percentage that is two hours in a day is 8.33 %
Answer:
8.33 %
Step-by-step explanation:
2 hours a day ×100 = 8.33
-2c + 22 = 10, what is c?
If B = (8, 145, 287, 7005). Find the outer measure of B, i.e µ*(B).
Answer:
Step-by-step explanation:To find the outer measure of B, denoted as µ*(B), we need to take the infimum of the sums of the lengths of the intervals that cover B.
We start by considering a cover of B by intervals. Since B is a set of four points, we can construct a cover of B with four intervals, each containing one of the points. Specifically, we define:
I1 = (8 - ε, 8 + ε)
I2 = (145 - ε, 145 + ε)
I3 = (287 - ε, 287 + ε)
I4 = (7005 - ε, 7005 + ε)
where ε is a small positive number.
Then, the lengths of these intervals are:
|I1| = 2ε
|I2| = 2ε
|I3| = 2ε
|I4| = 2ε
The sum of the lengths of these intervals is:
|I1| + |I2| + |I3| + |I4| = 8ε
Since ε can be made arbitrarily small, we can take the infimum of the sum of the lengths of the intervals over all covers of B by intervals. Therefore, we have:
µ*(B) = inf{|I1| + |I2| + |I3| + |I4|} = inf{8ε} = 0
Hence, the outer measure of B is 0.
Plllllllsssssss hellppppppp meeeeee
A student pulls out ten marbles: three were red, two were blue, and five were green. In the next handful, the
student pulls out seventy marbles. How many are expected to be red?
Answer:
21
Step-by-step explanation:
To get from 10 to 70, you multiply by 7. Just do the rest to all the other numbers, and red = 21.
Kelly wants to plant flowers on the edge of a circular flowerbed around a tree. If the radius of the flowerbed is 2 feet, and she wants to place the
plants approximately 3 feet apart. How many flower plants should she buy?
A
2 flowers
B
3 flowers
D
4 flowers
5 flowers
Answer:
Divide the given diameter by 2 to obtain the radius in feet.
Divide the radius in feet by 3 to obtain the radius in yards.
Square the radius and multiply the result by an approximation of suitable for your required level of precision. This calculation will provide you with the area of the circle in square yards.
Multiply the calculated area by 13 and round to the nearest whole number. (unless you think the hero of this story knows of a nursery that will sell him fractional parts of a plant)
Notes on approximation of for this problem. Either , , or any representation of to greater precision will result in the same number of plants after rounding to the nearest whole number of plants.
John
Step-by-step explanation:
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Help ASAP!
5(x-4) + (2x-7)
Answer:
Step-by-step explanation:
7
−
2
7
How do you isolate the variable in an inequality?
For one to isolate the variable by using equation rules. Inverse inequality sign if multiplying/dividing by negative. Steps to isolate variable in inequality: Simplify, move constants with inverse operations. Divide coefficient to isolate variable. Reverse direction if using negative number.
What is the variable?Inequalities require you to apply the same principles as those used in equations when isolating a variable. For example, if there is an inequality 3x - 5 < 7. one can isolate the variable, by first:
Add 5 to both sides to be: 3x < 12.
Then divide both sides by 3: x < 4.
So, the variable x is one that is isolated, and the solution to the inequality is one where x < 4.
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PLEASE HELP ME! I WILL BE GIVING 50 POINTS!
The box plot that represents the data is given as follows:
Bottom plot.
What does a box-and-whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.The ordered data-set for this problem is given as follows:
2, 2, 4, 7, 7, 14, 16, 18.
The minimum and maximum values are given as follows:
Minimum of 2.Maximum of 18.The data-set has an even cardinality, hence the median is given by the mean of the two middle elements as follows:
Median = (7 + 7)/2 = 7.
(which removes the top two options).
The quartiles are given as follows:
First quartile -> median of 2, 2, 4 and 7 -> 3.Third quartile -> median of 7, 14, 16, 18 -> 15.Meaning that the last plot is correct. (the one that is already marked).
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I only have today to get help.... please answer if you can I dont know what my professor is asking. ( we just learned about charts) You and a friend are discussing the good news that the annual number of deaths due to a certain disease has been decreasing over the last decade. Your friend says that it is even more encouraging that the rate of decrease of this annual number is also decreasing. How would you reply?
The hole for a support needs to be6 feet deep. It is currently 2 feet 9 inches deep. How much deeper must the hole be. Use the conversion factor 12 inches/ 1 foot
The hοle needs tο be 39 inches deeper.
What is the cοnversiοn factοr?A cοnversiοn factοr is a number used tο change οne set οf units tο anοther, by multiplying οr dividing. When a cοnversiοn is necessary, the apprοpriate cοnversiοn factοr tο an equal value must be used. Fοr example, tο cοnvert inches tο feet, the apprοpriate cοnversiοn value is 12 inches equals 1 fοοt.
The current depth οf the hοle is 2 feet 9 inches, which is the same as 2 + 9/12 = 2.75 feet (since there are 12 inches in 1 fοοt).
Tο find οut hοw much deeper the hοle needs tο be, we need tο subtract the current depth frοm the required depth:
6 feet - 2.75 feet = 3.25 feet
Hοwever, we are asked tο express the answer in inches, sο we need tο cοnvert the 3.25 feet tο inches using the given cοnversiοn factοr:
3.25 feet x 12 inches/1 fοοt = 39 inches
Therefοre, the hοle needs tο be 39 inches deeper.
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Solve for k.
k/4 + 8 = 12
Answer:
k = 16
Step-by-step explanation:
To solve this we must isolate k. Let's first simplify this equation by subtracting 8 from both sides:
k/4 = 4
Next, remove the fraction by multiplying both sides by 4:
k = 16
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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