Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\)
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}\)
\(\rm Common \ ratio = \dfrac{1}{2}\)
The common ratio between third term 50 and second term 100 is;
\(\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}\)
Hence, the common ratio is 1/2.
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x - 4y = 28
x+2y = -2
it’s substitution
Step-by-step explanation:
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jane is X years old. How old will she be in 2 year's time? How old will she be in 5 year's time?
Answer:
Jane's age = X
In 2 years time = X + 2
In 5 years time = X + 5
Step-by-step explanation:
Answer from Gauth math
Answer:
Step-by-step explanation:
Jane is X years old means she is currently X age. So 2 years later she will be 2+X years old and 5 years later she will be 5+X years old
Reflect shape A in the line y = -x. (See picture)
Answer:
See picture below
Step-by-step explanation:
HELP PLZZZzZZZZZZZ ASAP !!
Answer:
1 8/25
Step-by-step explanation:
1 32/100 = 1 8/25
What are the x-intercept(s) of the function the quantity of 5 x squared minus 25 x, all over x? x = 5 x = 0 and x = 5 x = 0 x = −5
The value of x will be 0 and x = 5. The correct option is A.
What is the x-intercept?The x-intercept is the point at which a line intersects the x-axis, and the y-intercept is the point at which the line intersects the y-axis.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the x-intercept(s) of the function is the quantity of 5x² - 25x.
The value of the x-intercept will be calculated as,
5x² - 25x = 0
5x( x -25) = 0
5x = 0 and x - 5 = 0
x = 0 and x = 5
Therefore, the value of x will be 0 and x = 5. The correct option is A.
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Answer:
it's x = 5
Step-by-step explanation:
got it right on the test.
A function of random variables used to estimate a parameter of a distribution is a/an _____.
A. unbiased estimator
B. statistic
C. predictor
D. sample value
Answer:
A. unbiased estimator.
Step-by-step explanation:
In Statistics, an estimator is a statistical value which is used to estimate a parameter. Parameters are the determinants of the probability distribution. Therefore, to determine a normal distribution we would use the parameters, mean and variance of the population.
A function of random variables used to estimate a parameter of a distribution is an unbiased estimator.
An unbiased estimator is one in which the difference between the estimator and the population parameter grows smaller as the sample size grows larger. This simply means that, an unbiased estimator captures the true population value of the parameter on average, this is because the mean of its sampling distribution is the truth.
Also, we know that the bias of an estimator (b) that estimates a parameter (p) is given by; \(E(b) - p\)
Hence, an unbiased estimator is an estimator that has an expected value that is equal to the parameter i.e the value of its bias is equal to zero (0).
Generally, in statistical analysis, sample mean is an unbiased estimator of the population mean while the sample variance is an unbiased estimator of the population variance.
Answer: B statistic
Step-by-step explanation:
it just is trust me
What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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Describe the graph of the function. y = |x - 4| - 7
Answer:
Step-by-step explanation:
The graph is that of the basic absolute value function y = |x|, except that the vertex (0, 0) has been translated 4 units to the right and 7 units down.
James was making cupcakes for a bake sale. The recipe he had uses 2 eggs for every dozen cupcakes. If James needed to make 18 cupcakes, how many eggs would he use?
Answer:
3 eggs
Step-by-step explanation:
For 12 cupcakes, 2eggs are required.
For 18 cupcakes, 3 eggs are required.
[Use multiplication table of 6, 6*2=12 and 6*3=18]
5 + 4n = 29
How do I do this
Explain how to solve 5x − 2 = 8 using the change of base formula . include the solution for x in your answer. round your answer to the nearest thousandth.
x = 2 is the solution to the equation 5x - 2 = 8.
What is the logarithm?
A logarithm is a power to which a number must be raised in order to get some other number. For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. because. 102 = 100.
The change of base formula for logarithms allows us to change the base of a logarithm without changing the value of the logarithm.
The formula is: logb(x) = (logc(x)) / (logc(b))
To solve 5x - 2 = 8 using the change of base formula, we will first bring the equation to one side and get 2 = 5x - 8.
Then we will add 8 to both sides of the equation to get 2 + 8 = 5x, which gives us 10 = 5x.
Finally, we will divide both sides of the equation by 5 to get x = 2.
x = 2
Therefore, x = 2 is the solution to the equation 5x - 2 = 8.
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3 over 4 = 1 over 4 m
The value of m in the proportion is given as follows m = 3.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The proportion is defined as follows:
3/4 = (1/4)m.
As the values have a proportional relationship, the value of m can be obtained applying cross multiplication, as follows:
3/4 = (1/4)m
cross multiplication;
3/4 x 4 = m
m = 3
Hence m =3 is the value that satisfies the proportion in this problem.
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If F(x) and f(x) are inverse functions of each other and f(x) = 2x+5, what is f(-1) (8) ?
-1
3/2
41/8
23
Answer:
3/2
Step-by-step explanation:
Please help!!! Last question I have
(Will mark most Brainly)
Answer:
107 people
Step-by-step explanation:
Their budget is $3,500 and they have to spend $70 for the clean up fee:
$3,500 - $70 = $3430
If it is $32 per person, then find out how many $32 fit into their remaining budget of $3430
$3430 ÷ $32 = 107.1875
You can't have part of a person, so the greatest number of people they can invite is 107
Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
A specific type of dwarfism is a genetically inherited recessive trait. based upon this pedigree. What is the probability that max and natalie will have another affected daughter?
The probability of an event that has two possible outcomes is 1/2
What is Probability?This refers to the likelihood of an event occurring and this can be found by calculating using a mathematical model.
It should be noted that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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PLEASE ANSWER ASAP AND ANSWER EVERYTHING SORRY FOR BAD QUALITY WILL MARK BRAINLIEST PLEASE ANSWER SOON
Answer:
1 Angle A is 44, 2 angle A is 20.
~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 1 is x + 45 + 82 + x + 65 = 180 x = -1 A = 44 Degrees
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
The Equation for 2 is x + 21 + 130 + x + 31 = 180 x = -1 Angle A = 20 Degree
~~~~~~~~
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where is it located on the number line
move it 0.25 units right
find the point on the plane 4x 5y z =12 that is nearest to (2,0,1).
There is no point on the plane 4x + 5y + z = 12 that is nearest to (2, 0, 1).
To find the point on the plane 4x + 5y + z = 12 that is nearest to (2, 0, 1), we can use the concept of orthogonal projection.
First, let's denote the point on the plane as (x, y, z). The vector from this point to (2, 0, 1) can be represented as the vector (2 - x, 0 - y, 1 - z).
Since the point on the plane is on the plane itself, it must satisfy the equation 4x + 5y + z = 12. We can use this equation to find a relationship between x, y, and z.
Substituting the values of x, y, and z into the equation, we have:
4x + 5y + z = 12
4(2 - x) + 5(0 - y) + (1 - z) = 12
Simplifying, we get:
8 - 4x - 5y + 1 - z = 12
9 - 4x - 5y - z = 12
-4x - 5y - z = 3
Now, we have a system of two equations:
4x + 5y + z = 12
-4x - 5y - z = 3
To find the point on the plane nearest to (2, 0, 1), we need to solve this system of equations.
Adding the two equations together, we eliminate the variable z:
(4x + 5y + z) + (-4x - 5y - z) = 12 + 3
Simplifying, we get:
0 = 15
Since 0 = 15 is not true, the system of equations is inconsistent, which means there is no solution.
This implies that there is no point on the plane 4x + 5y + z = 12 that is nearest to (2, 0, 1).
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Edward buys 3 pounds of canola oil, 1 pound of soybean oil, and 3 pounds of peanut oil.
What is the total cost?
cottonseed oil
peanut oil
soybean oil
canola oil
$4.09 per pound
$4.21 per pound
$4.17 per pound
$6.99 per pound
$5.12 per pound
$4.90 per pound
sunflower seed oil
vegetable oil
Rewrite the expression using the distributive
property. Do not add any extra spaces.
9y2-3y
Answer:
3y (3y -1)
Step-by-step explanation:
Which of the following units is most appropriate to measure the amount of
liquid in a medical syringe?
A. milliliters
B. centimeters
C. liters
D. feet
Answer:
A
Step-by-step explanation:
A makes the most sense
hope this helps : )
a group of fifth graders collected 46 cans of food to donate to three food banks. If each food bank is get an equal number of cans, how many cans do the each receive
Answer:
about 15.3.
Step-by-step explanation:
46 divided by 3. ig
Please help
Select an expression that is equivalent to √/184.
18
18^3/4
18^4/3
18^12
An expression that is equivalent to ∛18⁴ is (b) (18)³/⁴
Choosing an expression that is equivalentFrom the question, we have the following parameters that can be used in our computation:
∛18⁴
Applying the law of indices, we have
∛18⁴ = (18⁴)¹/³
Evaluate
So, we have
∛18⁴ = (18)³/⁴
Hence, the solution is (18)³/⁴
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The profile of a dam is modeled by the equation y = 24 (StartFraction x Over 10 EndFraction) squared, where x represents horizontal distance and y represents height, both in meters. Review the diagram of the dam.
On a coordinate plane, a curve goes up from (0, 0) to point z. A horizontal line continues from z. y = 24 (StartFraction x Over 10 EndFraction) squared
Point Z is at a horizontal distance of 15 meters from the left-most point of the dam. What is the height of the dam at point Z?
24 meters
36 meters
54 meters
72 meters
Answer:
c
Step-by-step explanation:
took quiz on edge
what's greater -9/11 or -5/8
Answer:
-9/11 > -5/8
Step-by-step explanation:
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
6. Use summary statistics (mean, median, range, interquartile range, mean absolute deviation) to compare Bob and Alan's points per game.
7.What is the best measure of central tendency to compare the two players? Why?
a. Compare each person's data in terms of center.
8. What is the best measure of spread to compare the two plavers? Why?
a. Compare each person's data in terms of spread.
9. Based on your representations and your calculations, is either friend a basketball star?
Justify your answer, based on your graphical representations (#1-3), your summary statistics (#4), and the interpretations (#7-8).
Answer:
To compare Bob and Alan's points per game, we can use the following summary statistics:
Mean: This is the average of the data set. It can be calculated by adding up all the values and dividing by the number of values.
Median: This is the middle value of the data set when it is arranged in order.
Range: This is the difference between the largest and smallest value in the data set.
Interquartile range (IQR): This is the range of the middle 50% of the data set, calculated as the difference between the 75th and 25th percentiles.
Mean absolute deviation (MAD): This is the average of the absolute differences between each value and the mean.
To compare the center of each player's data, the best measure of central tendency would be the mean. This is because it takes into account all the values in the data set and gives an overall average. The median can also be used, but it only considers the middle value and may not accurately represent the center if there are outliers in the data set.
To compare the spread of each player's data, the best measure of spread would be the range or IQR. This is because they give an idea of the range of values in the data set and how spread out the data is. The MAD can also be used, but it is a more complex calculation and may not provide as clear of an understanding of the spread of the data.
Based on the representations, summary statistics, and interpretations, it is not possible to determine if either friend is a basketball star without more context. A basketball star could have a high average points per game, a narrow range, and a small spread, but this would depend on the level of competition and the type of game being played. A player who consistently scores a high number of points and performs well under pressure could be considered a basketball star, but this cannot be determined solely based on the data presented.
A batch of 26 television sets are being checked by two supervisors. Both start from the same end. One supervisor checks every
2nd set and puts a blue mark on it. Another supervisor checks every 3rd set and puts a green mark on it. How many television
sets will have BOTH a blue and a green mark on them
Answer:
4
Step-by-step explanation:
Total number of television sets = 26
With the condition given that; every 2nd set had blue mark on it, and every 3rd set had green mark on it.
The number of only blue marked set is 8, while the number of only green marked set is 4.
So that, the number of television sets with both blue and green mark on them is 4.
What is the equation for a circle centered at the origin?
OFx+y
Or=√x+y
2
0 ₁² = (√x + y)²
07=x² + y²
The equation for a circle centered at the origin is x² + y² = r².
The equation for a circle centered at the origin is given by:
x² + y² = r²
In this equation, (x, y) represents a point on the circle, and r represents the radius of the circle.
Let's break down the equation step by step:
The center of the circle is at the origin, which means the coordinates of the center are (0, 0).
To find the equation of a circle, we start with the general equation for a circle: (x - h)² + (y - k)² = r², where (h, k) represents the coordinates of the center and r represents the radius.
Since the center is at the origin (0, 0), the equation simplifies to x² + y² = r².
The term x² + y² represents the sum of the squares of the x-coordinate and the y-coordinate of any point on the circle.
Therefore, the equation for a circle centered at the origin is x² + y² = r².
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