The first and fourth sequences show a geometric series.
2, 3, 4.5, 6.75, … is a geometric series with a common ratio of 3/2. Each term is received through multiplying the preceding term through the common ratio 3/2.2, 2.5, 3, 3.5, … is not a geometrical series since the common distinction among consecutive terms isn't always constant.6, 7, 9, 12, … isn't a geometrical collection since the ratio among consecutive terms isn't always steady.4, 8, 16, 32, … is not geometrical series with a common ratio of 2, Each term is obtained by means of multiplying the previous term through the common ratio 2.8, 4, 2, 1, … is a geometric series with a common ratio of 1\/2.Each term is acquired by means of multiplying the preceding time period with the aid of the common ratio 1\/2.Consequently, the sequences 2, 3, 4.5, 6.75, … and 4, 8, 16, 32, … are the geometric series.
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Complete Question:-
Which of the following show a geometric series? select all that apply.
1) 2 3 4.5 6.75 …
2) 2 2.5 3 3.5 …
3) 6 7 9 12 …
4) 4 8 16 20 …
5) 8 4 2 1 …
Answer:
Step-by-step explanation:
Determine the solution to the inequality. one fourth times the absolute value of the quantity x plus 1 end quantity is greater than or equal to 4 x ≥ −1 or x ≥ 17 x ≤ −17 or x ≥ 15 x ≤ −9 or x ≥ 7 x ≤ −2 or x ≥ 0
The solution of the inequality will be x ≥ -1/4.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
Given that inequality is one-fourth time the absolute value of the quantity x plus 1 end quantity.
The given inequality can be solved as below:-
4x ≥ −1
4x ≥ −1
x ≥ -1 / 4
Therefore, the value of x for the inequality is - 1 / 4.
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Answer:
The answer Is B) x ≤ −17 or x ≥ 15
Step-by-step explanation:
PLEASE HELPPP!!!
what is f(5)?
A. -8
B. -1
C. 1
D. 8
Answer:
A. -8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
How does the shape of a t-distribution with a small df compare with a normal distribution?
When compared to a normal distribution, a t-distribution with a small degrees of freedom has heavier tails, indicating a higher probability of extreme values. As the degrees of freedom increase, the shape of the t-distribution approaches that of a normal distribution.
The shape of a t-distribution with a small degrees of freedom (df) differs from that of a normal distribution. The first paragraph provides a summary of the answer, and the second paragraph explains the details of the comparison.
A t-distribution with a small degrees of freedom has a shape that is similar to a normal distribution, but with heavier tails. As the degrees of freedom decrease, the t-distribution becomes more spread out and has a higher probability of extreme values compared to a normal distribution.
The tails of the t-distribution are fatter or thicker than those of a normal distribution. This means that the t-distribution has a higher probability of extreme values, making it more likely to observe values far away from the mean. In contrast, the normal distribution has thinner tails, indicating a lower probability of extreme values and a higher concentration of data around the mean.
The shape of the t-distribution approaches that of a normal distribution as the degrees of freedom increase. When the degrees of freedom are large (typically above 30), the t-distribution becomes very similar to a normal distribution, and the differences between them become negligible.
The t-distribution is widely used in statistical inference, especially in situations where the sample size is small or when the population standard deviation is unknown. It provides a more appropriate distribution for estimating population parameters when the underlying data exhibit variability.
In summary, compared to a normal distribution, a t-distribution with a small degrees of freedom has heavier tails, indicating a higher probability of extreme values. As the degrees of freedom increase, the shape of the t-distribution approaches that of a normal distribution.
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I’m confused can you guys please help me with this question?
At what point do the lines y = x + 7 and y = 5x - 13 intersect?
Answer:
The lines y = x + 7 and y = 5x - 13 intersect at (3.5,10.5)
PLZ HELP ME PLZZZZZZZZZZZZZZZZZZZZZZ
Answer and Step-by-step explanation:
Ok, so all we have to do is input the values into the equation.
We are told Adam bought 2 mechanical pencils and 8 spiral notebooks, which cost $13
and that
Kia bought 3 mechanical pencils and 5 spiral notebooks, which cost $12.50.
Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
This is the answer.
#teamtrees #WAP (Water And Plant)
Answer: Adam: 2p + 8n = 13
Kia: 3p + 5n = 12.5
Step-by-step explanation:
What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B?
Answer:
The answer is explained below
Step-by-step explanation:
The location of point A = (-5, -1) and point B = (4, 1).
To find the coordinate of the point that divides a line segment PQ with point P at \((x_1,y_1)\) and point Q at \((x_2,y_2)\) in the proportion a:b, we use the formula for the x and y coordinates:
\(x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1\)
P is One-fourth the length of the line segment from A to B, Therefore AB is divided in the ratio 1:4. The location of point A = (-5, -1) and point B = (4, 1).Therefore:
\(x-coordinate:\\\frac{1}{1+3}(4-(-5))+(-5)=\frac{1}{4}(9)-5=-\frac{11}{4} \\\\While \ for\ y-coordinate:\\\frac{1}{1+3}(1-(-1))+(-1)=\frac{1}{4}(2)-1=\frac{-1}{2}\)
Therefore the coordinate of P is (-11/4, -1/2)
Answer:
the coordinate of P is (-11/4, -1/2)
x= -11/4
y= -1/2
c on edu
Step-by-step explanation:
edu 2021
What is the interval used in the graph shown below babysitting money
Pls help
Answer:
9
Step-by-step explanation:
1 to 10
Hence,
10 - 1 = 9
Similarly,
20 - 11 = 9
30 - 21 = 9
40 - 31 = 9
Therefore,
Interval is 9
What is the value of ½x³ + 3.4y when x = 4 and y = 2?
Which phrase describes the algebraic expression 3x-4? a. the sum of three times a number and four b.four less than three times a number c.the quotient of three times a number less four d. the difference between four and three
Answer:
b.four less than three times a number
Step-by-step explanation:
because it's -4 , it will be four less than
and ×3 is three times the number
Answer:
b. four less than three times a number
Step-by-step explanation:
Got it right on the test
4. Linear Dependence in a Square Matrix Learning Objective: This is an opportunity to practice applying proof techniques. This question is specifi- cally focused on linear dependence of rows and columns in a square matrix. Let A be a square n x n matrix, (i.e. both the columns and rows are vectors in R"). Suppose we are told that the columns of A are linearly dependent. Prove, then, that the rows of A must also be linearly dependent. You can use the following conclusion in your proof: If Gaussian elimination is applied to a matrix A, and the resulting matrix (in reduced row echelon form) has at least one row of all zeros, this means that the rows of A are linearly dependent. (Hint: Can you use the linear dependence of the columns to say something about the number of solutions to Ai=? How does the number of solutions relate to the result of Gaussian elimination?).
The key approach is to analyze the relationship between the number of solutions to the equation Ax = 0 and the result of Gaussian elimination.
Since the columns of A are linearly dependent, there exist scalars c1, c2, ..., cn (not all zero) such that c1a1 + c2a2 + ... + cnan = 0, where ai represents the columns of A. We can rewrite this equation as a system of linear equations: Ax = 0, where x = [c1, c2, ..., cn]T is a column vector.
The linear dependence of the columns implies that the system Ax = 0 has infinitely many solutions, as we can always find non-trivial combinations of the columns that yield the zero vector.
Now, let's consider applying Gaussian elimination to matrix A. Gaussian elimination transforms the matrix into reduced row echelon form. If the resulting matrix has at least one row of all zeros, it means that there is at least one free variable in the system Ax = 0. This indicates that the system has infinitely many solutions.
Since the system Ax = 0 has infinitely many solutions, and the result of Gaussian elimination with a row of all zeros indicates linear dependence, it follows that the rows of A must also be linearly dependent. Therefore, the linear dependence of the columns implies the linear dependence of the rows.
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For each expression, write an equivalent expression that uses only addition. Do not include any spaces in your answers. Keep the terms in the same order. 20−9+8−7 and 4x−7y−5z+6
Answer:
(a)\(20+(-9)+8+(-7)\)
(b)\(4x+(-7y)+(-5z)+6\)
Step-by-step explanation:
We are required to write an equivalent expression that uses only addition for each of the given term.
Note that the product of + and - is always -.
Therefore:
(a)20−9+8−7
\(20-9+8-7 \\=20+(-9)+8+(-7)\)
(b)4x−7y−5z+6
\(4x-7y-5z+6\\=4x+(-7y)+(-5z)+6\)
Elmer spent the day at the mall. First, he bought five rabbits for $10 each. Later, he bought four cupboards for $70 each. After that, he found a twenty dollar bill. Also, he returned one rabbit. Write the total change to Elmer's funds as an integer.
Answer:
-300
Step-by-step explanation:
Step 1: Find the amount Elmer's funds decreased after purchasing the rabbits:
Let x represent Elmer's funds.
Since Elmer bought five rabbits for $10 each, he lost $10 5 times.
x - (10 * 5)
x - 50
Thus, Elmer lost (spent) $50 for the 5 rabbits.
Step 2: Find the amount Elmer's funds decreased after purchasing the cupboards:
Since Elmer bought four cupboards for $70 each, he lost $70 4 times:
x - (50 + (70 * 4))
x - (50 + 280)
x - 330
Thus, after purchasing the rabbits and cupboards, Elmer lost $330.
Step 3: Find the amount Elmer's funds increased after finding the twenty-dollar bill:
Since Elmer found a twenty-dollar bill, he gained $20
x - (330 + 20)
x - 310
Step 4: Find the amount Elmer's funds increased after returning one rabbit:
Since Elmer returned one rabbit, he gained $10:
x - (310 + 10)
x - 300
Thus, Elmer's funds changed totally by -$300.
Putting all the information together, we have:
x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10
x - 50 - 280 + 30
x - 330 + 30
x - $300
Jackson elementary will have 320 first grade students next year, each class can have 16 students using the equation 16x= 320 , how many first grade classes will the school need?
Answer:
20
Step-by-step explanation:
320 = 16x
Our objective here is to isolate the variable (x) using inverse operations
First we want to get rid of 16
16x is the same as 16 times x( which is multiplication)
The inverse of multiplication is division so to get rid of the 16 we divide by 16 ( but note: whatever you do to one side you must do to the other ) so we divide both sides by 16
320/16=20
16x/16 = x
We would be left with x = 20
This meaning that they would need 20 first grade classes
Answer:
The school will need 20 first grade classes
Step-by-step explanation:
So think about it. There are 320 first grade students and each class can have 16 students which represents the equation 16x=320
All you need to do is solve the equation 16x=320
The equation is multplication. To undo multiplication you need to do division
So, x=320/16
x=20
So overall, your awnser is 20.
a vault holds only 8 ounce tablets of gold and 5 ounce tablets of silver if there are 130 ounces of gold and silver total what is the greatest amount of gold that can be in the vault
The greatest amount of gold that can be in the vault is 0 ounces.
To find the greatest amount of gold that can be in the vault, we need to determine the maximum number of 8 ounce tablets that can be stored.
If the total weight of gold and silver is 130 ounces, we can subtract the weight of the silver from the total to get the weight of gold.
Since each silver tablet weighs 5 ounces, the weight of silver can be found by dividing the total weight by 5.
130 ounces ÷ 5 ounces = 26 tablets of silver
Now, to find the maximum number of 8 ounce tablets that can be stored, we divide the weight of gold by 8.
130 ounces - (26 tablets × 5 ounces) = 130 ounces - 130 ounces = 0 ounces of gold
Therefore, the greatest amount of gold that can be in the vault is 0 ounces.
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PLEASE ANSWER!!
A florist charges $10 for delivery plus an additional $2 per mile from the flower shop. The florist pays the delivery driver $0.50 per mile and $5 for handling each delivery. If x is the number of miles a delivery location is from the flower shop, what expression models the amount of money the florist earns for each delivery?
write in Y=mx+b form.
Let
Per mile be xNow
Charge:-
2x+10Pay:-
0.5x+5Now earning:-
y=2x+10-0.5x-5y=1.5x+5Answer:
Y = 1.5x + 5
Step-by-step explanation:
To model the amount of money the florist earns for each delivery, we can break it down into the different components involved.
The florist charges $10 for delivery, which is a fixed fee.This can be represented by the term "+10".
Additionally, the florist charges an additional $2 per mile from the flower shop.This can be represented by the term "+2x", where x represents the number of miles.
The florist also pays the delivery driver $0.50 per mile and $5 for handling each delivery.This can be represented by the term - ( 0.50x + 5 )
Putting all these terms together, the expression that models the amount of money the florist earns for each delivery is:Y = 10 + 2x - (0.50x + 5)
Simplify.
Y = 10 + 2x - 0.50x - 5
Combine like terms.
Y = 1.5x + 5
Therefore, the expression that models the amount of money the florist earns for each delivery is Y = 1.5x + 5 in slope-intercept form (Y = mx + b form).How do I go about solving this? (Teacher got sick mid-lesson & still wanted us to finish the worksheet but he never went over how to solve this kind of equation) Any kind of help is greatly appreciated.
\(g(a) = 4a-2\\h(a) = 3a\\Find: g(h(8))\)
The composite function g(h(8)) when evaluated is 94.
Evaluating the composite functionsFrom the question, we have the following parameters that can be used in our computation:
g(a) = 4a - 2
h(a) = 3a
To find g(h(8)), we need to first evaluate h(8), and then plug that result into g(a) and simplify.
h(a) is defined as 3a, so h(8) = 3(8) = 24.
Now we can plug in 24 for a in g(a) and simplify:
g(a) = 4a - 2
g(h(8)) = g(24) = 4(24) - 2 = 94
Therefore, g(h(8)) = 94.
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What is the compliment of a 45 degree angle
The complement of 45° is the angle that when added to 45° forms a right angle (90° ).
Complete the table for each value of a. Round to the nearest hundredth. The first row has been done for you.
Rounding 0.4571 to the nearest hundredth will be 0.46.
How to round numbersTo round the nearest hundredth, look at the number that is three places to the right of the decimal point. If the number is greater than or equal to 5, then round up. If the number is less than 5, then round down.
0.4571
7 ≥ 5
Therefore, we round up.
0.4571 --> 0.46
Therefore, 0.4571 rounded to the nearest hundredth is 0.46.
For example, if the number is 123.456, the digit in the thousandths place is 6. Since 6 is greater than 5, 123.456 rounded to the nearest hundredth would be 123.46.
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Round 0.4571 to the nearest hundredth.
What is the number of sides in a regular polygon when the measure of each interior angle is 162?
Answer:
20
Step-by-step explanation:
interior angle + exterior angle = 180°
162° + exterior angle = 180° ( subtract 162° from both sides )
exterior angle = 18°
the sum of the exterior angles of a polygon = 360° , then
number of sides = 360° ÷ 18° = 20
Luis rides his bicycle 3/4 mile in 15 minutes, or 1/4 hour, along the bike trail. Assuming he rides at a constant rate, what is his speed, in miles per hour?
Answer: 3
This is because 15 times 4 equals 60 and that is equal to 1 hour, well when your multiplying fractions what you do to the bottom you have to do to the top so multiply 3 times 4 thats 12 and now you have 12/4 and that is equal to 3.
The functions f(x) and g(x) are graphed.
Which represents where f(x) = g(x)?
Of(0) = g(0) and f(2)= g(2)
Of(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
The correct statement regarding f(x) = g(x) is given as follows:
f(0) = g(0) and f(2)= g(2).
How to solve a system of equations graphically?We solve the system graphically, hence the solution is given by the point of intersection of the graphs of the two functions.
When two functions intersect, they have the same numeric value.
The two functions intersect at x = 0 and at x = 2, hence the correct statement is given as follows:
f(0) = g(0) and f(2)= g(2).
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Rewrite the expression with rational exponents as a radical expression.
7 times x to the two thirds power
The probability of randomly hitting a bullseye on a dartboard with radius 12 inches depends on the size of the bullseye Thus the probability is a function of the size If this function is called PS?
If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.
The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.
It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.
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A convention center is hosting a home show where different businesses provide information and examples for improvements that can be made to homes. The sponsors are also holding a lottery to give away $10,000 in home improvements. In a giant bin, 20 balls numbered 1 - 20 are mixed together. Then , 3 balls are selected from the bin, without replacement For $5. 00a customer can try to predict the 3 numbers that will be selected. If the order in which the numbers are selected does not matter , how many different predictions are possible for this game of chance ?
There are 1140 different predictions possible for this game of chance.
In this scenario, customers have an opportunity to predict three numbers out of 20, which will be drawn from a bin. The order in which the numbers are selected does not matter, which means the same set of numbers in different orders will be considered as the same prediction.
To solve this problem, we can use the formula for combinations, which is
=> \(^nC_x = \frac{n!}{ x! \times (n-x)!}\)
where n is the total number of items, and x is the number of items to be selected.
In this case, we have 20 balls, and we want to select three balls without replacement. So, the formula becomes
=> \(^{20}C_3 = \frac{20!} { 3! \times (20-3)!}\)
Using a calculator or simplifying the equation, we get:
\(= > ^{20}C_3 = \frac{201918} { 321} = 1140\)
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$20,000 is deposited into an account at an APR of 8%. What will be the new account balance after 9 months?
STEP - BY - STEP EXPLANATION
What to find?
The new the new account balance after 9 months.
Given:
Principal (p) = $20 000
Rate(R) = 8
Time(t) = 9 months = 9/12 year = 0.75 years.
We will solve the given problem using the steps below:
Step 1
State the formula that will be use to solve the problem.
\(I=\frac{P\times R\times T}{100}\)Where I is the interest.
Step 2
Substitute the values into the formula.
\(I=\frac{20000\times8\times0.75}{100}\)\(=\frac{120000}{100}\)\(=1200\)Hence, interest(I) = $1200
But;
Amount = principal + Interest
= 20 000 + 1200
=21200
Therefore, the account balance after 9 months is $21200
ANSWER
$21200
you can answer any 16 questions from a total of 20 questions on an exam. in how many different ways can you select the questions?
There are 4845 different ways to select 16 questions out of a total of 20 questions on the exam.
To determine the number of different ways you can select 16 questions out of a total of 20 questions, we can use the concept of combinations.
In this case, we want to select 16 questions from a set of 20 questions, and the order in which we select them doesn't matter. This scenario can be represented by the combination formula.
The formula for combinations is given by:
C(n, k) = n! / (k!(n-k)!)
Where:
n is the total number of items in the set (20 questions)
k is the number of items to be selected (16 questions)
! denotes the factorial operation
Using the combination formula, we can calculate the number of different ways to select the questions:
C(20, 16) = 20! / (16!(20-16)!)
= 20! / (16!4!)
= (20 * 19 * 18 * 17) / (4 * 3 * 2 * 1)
= 4845
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Operations on Wh b) 6 X (5 + 4)
Answer:
6X(5 + 4)
6x(9)
54x
Answer:
the answer is 54x hope it will help full to you
PLEASE SOMEONE HELP ME!!!!! THIS IS MY 3RD TIME ASKING THIS QUESTION!!!!
PLEASE Fill In The Blanks!
substitution is the best method to use when one variable is already ____ or when one variable can be easily ____.
Answer:
It's a guess.
1 known
2 cancelled.
Hope this helps!
And I am sorry if it doesn't
help me! pleaseeeeeeeeeeeeeeeeee
Answer:
20 weeks
Step-by-step explanation:
If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.
It will take the office 20 weeks to reach the total 40 kg of recycled paper.