Which of the following statements proves the series 250 – 150 + 90 – 54 + … is geometric?

r equals five thirds

r equals three fifths
r equals negative three fifths

Answers

Answer 1

The given series is geometric when r equals negative three-fifths.

What is geometric series?

The geometric series refers to the total of terms with a common ratio between every pair of neighbouring terms. Geometric series can be of two different types: finite and infinite. The sequence is of the form {a, ar, ar², ar³, …….} where, a is the first term, and r is the "common ratio".

where, r = ar/a = (second term)/(first term)

Given, the series 250 – 150 + 90 – 54 + …

So, r = (-150)/250 = -3/5

or, r = 90/(-150) = -3/5

Hence, for the geometric series, r should be equal to negative three-fifths.

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Related Questions

If 3250 was increased by 46%

Answers

Answer:

4745

Step-by-step explanation:

Answer: 4745

Step-by-step explanation:

3250 = 100%

Percent Increase = +46%

46% of 3250 = 1495

3250 (100%) + 1495 (46%) = 4745

A washer and a dryer cost $993 combined. The washer costs $43 more than the dryer. What is the cost of the dryer?

Answers

Answer:425

Step-by-step explanation:

993-43=950

950/2=425

Answer:

$475

Step-by-step explanation:

Let's call the cost of the dryer x. That means the cost of the washer is x + $43. The combined cost of the two is $993, so we can write the equation:

x + (x + $43) = $993

Expanding the right side:

2x + $43 = $993

Subtracting $43 from both sides:

2x = $950

Dividing both sides by 2:

x = $475

So the cost of the dryer is $475.

Which of the following is the midsegment for A ACE?

A. AC
B. BC
C. DB
D. CE

Answers

Answer: Segment DB (3rd choice)

Explanation:

Points B and D are midpoints of segments AC and CE respectively. This is because of the tickmarks indicating congruent segment pieces (AB = BC and CD = DE)

Joining the midpoints together forms a midsegment. The midsegment is half as long as the side parallel to it. This means BD is half as long as AE. Flip things around to say that AE is twice as long as BD.

Need help really please

Answers

Answer:

Step-by-step explanation:

No pressure. You just need to look for the number that when added to the other given number, will give the same as the sum on the other side.

For instance, The top-left question:

4+6 = x+8  (let x be the box)

x= 4+6-8

x=2.

OR, since 4 + 6 =10,

you look for a number when added to 8, that gives 10.

That number is 2.

Hope this helps :]

The temperature in a certain location was recorded each day for two months. The mean temperature was 28.8°F with a standard deviation 7.4°F. What can you determine about these data by using Chebyshev's Inequality with =K3?

Answers

Using Chebyshev's Theorem, it is found that at least 89% of days have a high temperature between 6.6ºF and 51ºF.

What does Chebyshev’s Theorem state?

When the distribution is not normal, Chebyshev's Theorem is used. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100\left(1 - \frac{1}{k^{2}}\right)[/tex].

Considering k = 3, the percentage is of at least 89% and the bounds are given as follows:

28.8 - 3 x 7.4 = 6.6ºF.28.8 + 3 x 7.4 = 51ºF.

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Pieto brought a wristwatch for $250 and sold it for $300. What is his percentage gain.​

Answers

Answer: 83%

Step-by-step explanation: Take 250 and divide it by 300

What is the slope of the line that passes through the points ( 6 , 7 ) (6,7) and ( 16 , 22 ) (16,22)? write your answer in simplest form.

Answers

Answer:

Step-by-step explanation:

The slope of a line is the change in y (the vertical axis) divided by the change in x (the horizontal axis).

Given the two points (6,7) and (16,22), we can calculate the slope as follows:

Change in y = 22 - 7 = 15

Change in x = 16 - 6 = 10

Therefore, the slope of the line passing through the two points is:

slope = change in y / change in x = 15 / 10 = 3/2

So the slope of the line is in its simplest form, 3/2.

Regenerate response

Piecewise linear relations

Answers

The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).

What is a piecewise function?

A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).

The graph is given in the question, as shown

f(x) = 2x + 4 if [-2, 0]

This the sub-function define between the interval [-2, 0].

f(x) = 4 if [0, 2)

This the sub-function define between the interval [0, 2).

f(x) = -2x + 8 if [2, 4)

This the sub-function define between the interval [2, 4).

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PLease help question below

Answers

The statement that is true about the graphs is Graph A is a linear function because it has a constant rate of change

What is a graph?

A graph is a pictorial representation of a function.

How to find which statemnt is true?

Given the graphs A and B, to determine which statement is true, we need to find the characteristics of each graph.

Characteristics of graph AGraph A is a linear graphGraph A has a constant rate of changeGraph A has only one x interceptGraph A has only one y - intercept

Characteristics of graph BGraph B is not a linear graphGraph B does not have a constant rate of changeGraph B has multiple x interceptsGraph B has only one y - intercept

Comparing all the statements with the given characteristics of both graphs, we see that the statement that is true is Graph A is a linear function because it has a constant rate of change

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What’s the correct answer answer asap for brainlist NOW

Answers

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

What do you mean by Passage?

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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Solve the following equation for y. 22x+2y=-14

Answers

Step-by-step explanation:

22x + 2y = -14

2y = -22x - 14

y = -11x - 7

An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

Please help me with this question

Answers

Answer: it’s C. My dear <3

Step-by-step explanation: hope this helps (btw I’m just being nice so don’t ask)

Leila is walking from the park at point P to a restaurant at point R. She wants to stop for a break when the distance she has travelled and the distance she has left to travel has a ratio of 3:5, at which point should Leila stop for her break?

Answers

Answer: To determine the point where Leila should stop for her break, we need to find the midpoint of the line segment connecting points P and R, since the midpoint will represent equal distances from both points.

Let the distance between points P and R be d, and let's call the point where Leila stops for her break point B.

Since the ratio of the distance travelled to the distance remaining is 3:5, we know that the distance from B to P is 3/8 of the total distance d, and the distance from B to R is 5/8 of the total distance d.

Therefore, point B is the midpoint of line segment PR, and can be found by dividing the distance between P and R by 2.

Step-by-step explanation:

The United States produced 0.815 million bikes. The total world production that year totaled 126 million bikes. world's total production of bikes is contributed by The United States? Round your answer to the nearest tenth.​

Answers

The percent of the world's total production of bikes that is contributed by United States is 0.65%.

What does production mean?

Production refers to the process of combining different inputs, both material and immaterial, to produce output. Ideally, this output will be a valuable good or service that adds to people's utility.

Data

Number of bikes produced by US = 815,000 bikes.

Number of bikes produced by the world population = 126 million bikes.

The percent of the world's total production of bikes that is contributed by U.S will be:

= (0.815/126) × 100

= 0.00646825396 * 100

= 0.65%.

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I jsut need some answers thank you mwa

Answers

Answer is 34 ft

Step by step

We can find the diagonal of the right triangles using Pythagorean theorem a^2 + b^2 = c^2

We know the base is 15 less 9 = 6, divided by 2 triangle bases = 3 for each base and height is 4

3^2 + 4^2 = c^2
9 + 16 = c^2

25 = c^2

√25 = c^2

c = 5

Since the right triangle diagonals are equal they are both 5 ft

Now we can add the 4 sides together to get the perimeter

15 + 9 + 5 + 5 = 34 ft

You are given the three vectors X, Y, and Z. Vector
X=(3, 2), vector Y= {-4, 3), and vector Z= {7, -1}.
What is the magnitude of the resultant vector X-Z+Y?
F. -10
G.-8
H. 8
J. 10
K. 12

Answers

Answer:

J.10

Step-by-step explanation:

You just have to add the numbers:

3 + 2 + (-4) + 3 + 7 + (-1) = 10

hope u like it, bye

Why ,do you think, do banks ànd other financial institutions offer cash loans to people that did not apply for it?​

Answers

Banks and other financial institutions may offer cash loans for reasons like revenue generation and marketing

How to determine the reason banks offer loans

Banks and other financial institutions may offer cash loans to people who did not apply for them for several reasons which include

Revenue generation: By offering unsolicited loans, financial institutions can generate revenue from interest charges and fees. Marketing: Offering unsolicited loans to people who did not apply for them can be a way for financial institutions to attract new customers or promote their loan products.

Other reasons include:

Risk management, Customer convenience, Mistakes/Errors

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Hassan finds the product of two multiples of 10 the answer is 6000 list 5 different calculations Hassan could write

Answers

The two ways of writing the number 6000 will be 10 x 600 and 100 x 60.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Multiplication is the process of determining the product of two or more numbers in mathematics.

Given that Hassan discovers that the result of two multiples of 10 is 6000.

The two ways can be calculated as:-

10 x 600 = 6000

100 x 60 = 6000

Hence, the two ways are 10 x 600 = 6000 and 100 x 60 = 6000.

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Solving linear equations by substitution y=5x-7 -3y-2y=-12

Answers

By using the substitution method, the value of x is equal to -1.94 and the value of y is 2.71.

How to solve this system of linear equations?

In order to solve the given system of linear equations, we would apply the substitution method. From the information provided in the question above, we have the following system of linear equations:

y = 5x - 7      .......equation 1.

3y - 2x = -12          .......equation 2.

By using the substitution method to substitute equation 1 into equation 2, we have the following:

-3(5x - 7) - 2x = -12

-15x + 21 - 2x = -12

-17x = -12 - 21

17x = -33

x = -33/17 or -1.94

For the value of y, we have:

y = 5(-33/17) - 7

y = -165/17 - 7

y = 2.71

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0.5(1.2)^x percentage

Answers

Answer:

20%

Step-by-step explanation:

1 + r = 1.2 = 1 + 0.2 = 1 + 20%

r = 20%

The percent growth is 20%.

Tamaya borrowed $8,500 to buy a car. After 42 months, she ended up paying $1,785 in interest on the car loan. What was the simple interest rate on Tamaya’s car loan?

Answers

Answer:

5%

Step-by-step explanation:

We can use the formula for simple interest to solve for the interest rate:

I = Prt

where:

I is the interest

P is the principal (the amount borrowed)

r is the interest rate

t is the time in years

We know the principal (P) is $8,500, the interest (I) is $1,785, and the time (t) is 42 months, or 42/12 = 3.5 years. So, we can plug in the values and solve for r:

I = Prt

$1,785 = $8,500 * r * 3.5

$1,785 / $8,500 / 3.5 = r

r = 0.05, or 5%

So, the simple interest rate on Tamaya's car loan was 5%.

The average rate of change of a function f(x) = x2 between x = 4 and x = 6 is average rate of change = 6 − 4 = .

Answers

On solving the provided question, we can say that The pace at which the y-values change relative to the x-values is the average rate of change for a function, average rate = m = 81-9/6 = 72/6 = 12

What is function?

Mathematics is the study of quantities and their variations, equations and related structures, shapes and their locations, and the locations where they can be found. The term "function" refers to the relationship between a set of inputs, each with its own output. A function is a connection between inputs and outputs in which each input leads to a single, distinct result. Each function is assigned a domain and a codomain, also known as a scope. f is commonly used to denote functions (x). The input is an x. Based on the following factors, there are four main types of functions available: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

f(x) =

x1, x2 = 3,9

average rate = f(x2) - f(x1) / 6

average rate = m = 81-9/6 = 72/6 = 12

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In a certain college, 4 instructors are single out of 24 instructors employed. What is the ratio of single to married instructors?
A. 1 to 6
B. 1 to 5
C. 24 to 4
D. 20 to 24

Answers

Answer:

(B) "1 to 5."

Step-by-step explanation:

The ratio of single to married instructors is 1 to 5. Since 4 instructors are single out of 24 total instructors, the ratio of single instructors to married instructors is 4 to (24 - 4) = 4 to 20. Simplifying the ratio to its simplest form, we get 4:20 = 1:5, which is the answer choice (B) "1 to 5."

Find x round to the nearest whole number helpppp

Answers

Answer:

Below

Step-by-step explanation:

Instead of x , I assume you want the angle.    

  For RIGHT triangles, remember

cos (angle ) = adjacent leg / hypotenuse

cos ( angle ) = 5 /12    

     angle = arccos( 5/12) = 65 °

You could also use pythagorean theorem to calculate the misssing side....then use cos law to calculate the angle.


mz1 = (2x +29)° and mz2 = (5x+20)°. If 21 and
22 are vertical angles, what are mz1 and mz2?

Answers

Answer:

Step-by-step explanation:

m∠2 = 90° - 56° = 34°. So, m∠1 = m∠2 = 34°

here the answers

Write an equation for the line that contains the points (4,-2) and (-2,0)

Answers

The linear equation that passes through the two given points is:

y = (-1/3)*x - 2/3

How to write the equation of the line with the two points?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If a line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know that the line passes through (4, -2) and (-2, 0), then the slope is:

a = (0 + 2)/(-2 - 4)= 2/-6 = -1/3

y = (-1/3)*x + b

To find the value of b, we can replace the values of any of the points in the equation, if we use (-2, 0) we will get:

0 = (-1/3)*-2 + b

0 = 2/3 + b

-2/3 = b

The linear equation is y = (-1/3)*x - 2/3

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x/q = -5
solve the equation

Answers

Answer:

It could be [tex]x=25[/tex] and [tex]q = -5[/tex] or it could be [tex]x=-25[/tex] and [tex]q = 5[/tex]. As both x and q are variables, either of these could be correct.

mrs.musick splits her students into 2 equal groups. 2/3 of the first group have an A and 40% of second group have an A. what fraction of the class has a A

Answers

Hi there, here's your answer:

Given a class is divided into 2 equal groups, i.e. Group A has 1 : 2 of the students in the class and group B has 1 : 2 of the students in the class.

Also [tex]\frac{2}{3} rd[/tex] of group A have an A

While 40% of group B have an A

To find:
Fraction of the class that has A

Solution:

First, we find the % of students in group A who have an A:

Since [tex]\frac{2}{3} rd[/tex] of group A have an A,

[tex]\frac{2}{3}[/tex] × [tex]50[/tex]  (∵ 1 : 2 = 50 : 100)

[tex]= \frac{100}{3} = 33.33[/tex]   (i)

Therefore, % of students in group A who have an A = 33.33%

Now, we find the % of students in group B who have an A:

Since 40% of group B have an A:

[tex]\frac{40}{100}[/tex] × [tex]50[/tex] (∵ 1 : 2 = 50 : 100)

= 4 × 5 = 20   (ii)

Adding (i) and (ii), we get
33.33 + 20 = 53.33%

Thus, the fraction of the class that has an A = [tex]\frac{53.33}{100}[/tex]

Hope it helps! Please mark as Brainliest!

ill give brainliest to whoever can answer

Robert uses f(x) = 1000(1.06)^x to calculate the interest he earns each year for his savings account. What is the yearly interest rate as a percent?

Answers

Steps

0.06(100)


Solution

He earns about 6% yearly
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