Answer:
convergent
Step-by-step explanation:
the function increases or decreases or as the number of terms of the series increases.
Answer:
Divergent
Step-by-step explanation:
The series can be written as:
∑ 1 / (4n − 1)
We can compare this to 1 / (5n). 1 / (5n) is smaller and diverges (p-series test). Therefore, the larger function also diverges.
An independent variable that studied using related samples in all conditions is called a
An independent variable studied by using related samples in all conditions is called a within subjects factor.
An independent variable is defines as the variable that is modified or controlled in a scientific experiment. It reflects the rationale or cause for an outcome.
The variables that the experimenter adjusts to test their dependent variable are known as independent variables. A change in the independent variable has a direct effect on the dependent variable. The impact on the dependent variable is assessed and documented.
Examples of Independent Variables
A scientist is experimenting with the effect of light and dark on the behaviour of moths by turning on and off a light. The amount of light is the independent variable, while the moth's reaction is the dependent variable.
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if y/8=4,then y/8x 8=4x
Answer:
y = 32
Step-by-step explanation:
y/8 = 4
multiply both sides by 8:
y = 4 x 8 = 32
Shannon is on a long road trip. So far, she has driven 210 miles in 180 minutes. If she has 280 miles left on her trip, how many minutes does she have left to drive, if she continues at the same rate?
Answer:
467.6 miles
Step-by-step explanation:
Unit rate x 280 = 467.6
HOPE THIS HELPS
Pamela had $17. She bought 7 burgers for $5.50 and 2 kilograms of orange for $5.30. Find the remaining amount she has now.
$4.20
$5
$6
$6.20
Answer:
$ 6.20 Cents
Step-by-step explanation:
17 - 5.50= 11.5
11.50 - 5.30= 6.2
Add A Zero at the end
You Get 6.20
Find the lengths of AD, EF, and BC in the trapezoid below.
We know that,
\(EF=\dfrac{AD+BC}{2}\)
which is
\(x=\dfrac{x-5+2x-4}{2}\)
Now solve for x,
\(x=\dfrac{3x-9}{2}\)
\(2x=3x-9\)
\(x=9\)
Since x is 9, the lengths are,
\(AD=x-5=9-5=\boxed{4}\)
\(EF=x=\boxed{9}\)
\(BC=2x-4=18-4=\boxed{14}\)
Hope this helps :)
PLEASE HELP WITH THIS ONE QUESTION
Answer:
Take the B
Step-by-step explanation:
32. How many 45-page documents would a binder hold if its maximum capacity is 630 sheets of paper?
Answer:
14
Step-by-step explanation:
630÷45=14
Answer:
Step-by-step explanation:
T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
coordinates of R?
Answer:
help
Step-by-step explanation:
9. Nadeem plans to ride her bike between
12 mi and at most 15 mi. Write and solve an
inequality to model how many hours Nadeem
will be riding.
Answer:
Step-by-step explanation:
I'm guessing we are missing a piece of the question such as the average speed at which Nadeem can ride. Let's call it v
distance is a product of velocity and time
d = vt
t = d/v
so if v is in miles/hr, an inequality could be
12/v ≤ t ≤ 15/v
Instructions: Identify the type of sequence and write the explicit rule. write Explicit Rule Sequence: -39, -45, 51, 57,... Type: Arithmetic e Explicit Rule:
The given sequence does not follow a simple arithmetic or geometric pattern, making it challenging to determine an explicit rule based on the given terms.
To identify the type of sequence and write the explicit rule, we need to examine the pattern of the given sequence: -39, -45, 51, 57, ...
By observing the differences between consecutive terms, we can determine if it follows an arithmetic or geometric pattern.
Arithmetic sequences have a common difference between each term, meaning that by adding (or subtracting) the same value repeatedly, we can generate the sequence. Geometric sequences, on the other hand, have a common ratio between each term, meaning that by multiplying (or dividing) by the same value repeatedly, we can generate the sequence.
Let's calculate the differences between consecutive terms:
-45 - (-39) = -6
51 - (-45) = 96
57 - 51 = 6
From the differences, we can see that the sequence is not arithmetic since the differences are not constant. However, the differences alternate between -6 and 6, indicating a possible geometric pattern.
Let's calculate the ratios between consecutive terms:
-45 / (-39) ≈ 1.1538
51 / (-45) ≈ -1.1333
57 / 51 ≈ 1.1176
The ratios are not constant, indicating that the sequence is neither geometric nor arithmetic.
Therefore, the given sequence does not follow a simple arithmetic or geometric pattern, and it is difficult to determine the explicit rule based on the given terms. It is possible that the sequence follows a more complex pattern or rule that is not apparent from the given terms.
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which source is an example of a primary source?
Answer:
Autobiographies and memoirs. Diaries, personal letters, and correspondence. Interviews, surveys, and fieldwork. Internet communications on email, blogs, listservs, and newsgroups. Photographs, drawings, and posters. Works of art and literature. Books, magazine and newspaper articles and ads published at the time. Public opinion polls. Speeches and oral histories
Out of 5000 policies for cell phones, a company received 585 claims. The average amount paid on the claims was $80. If the annual cost of the policy was $48, what was a customers expected value of the cell phone insurance policy?
$9.36
$5.13
-$38.64
$9.36
Answer:
-38.64
Step-by-step explanation:
% of claim: 385/ 5000 = .117
Average : $80 * .117 = $9.36
Customers' value: 9.36 - 48 = - 38.64
Suppose you will need $12,000 in 3 years. How much do you need to invest per month in order to have $12,000 if money earns an annual rate of 6% compounded monthly?
Assumptions for above case:
1-Equal payments are made monthly.
2-Total amount deposited throughout the year are compounded by end of the year.
3-Annual interest is 6%
4-Total Amount invested plus interest at maturity are reinvested the following year.
Given above, if you create a table in excel for those calculations, you would get $296.330 /month which amounts to $12,000.00 in 3 years approximately.
Year 1 = $3,555.96 Pre-interest =>$3769.32 Post 6% interest
Year 2 = $7,325.28 Pre-interest =>$7,325.28 Post 6% interest
Year 3= $11,320.75 Pre-interest =>$12,000.00 Post 6% interest.
The way to calculate pre interest for each year is just $296.330*12=$3555.96
Afterwards just multiply by the annual interest rate to get the full amount invested + interest (6%) =>$3555.96*(1.06)= $3769.32
Then As per step 1, add another 3555.96 and multiply it all by 1.06, to get 305.06
x = $305.06
I
What is the sale price of a stereo that normally sells for $250.00 and is on sale for 10% off?
Answer:
$225.00
Step-by-step explanation
First, take the percentage and switch it to a decimal. 10%= 0.10
Next, take $250.00 and multiply that by 0.10. 250x0.10=25
Lastly, subtract 25 from 250. 250-25= 225.
So you’re final answer is $225.00 Hope this helped!
Answer:
$225
Step-by-step explanation:
To find the sale price you convert 10% to decimals so that is equal to .10. Then you multiply the .10 by the original price, and that equals $25. After you have to subtract the found price by original price (250-25) then that should give you $225.
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
Round to 2 decimal places 0.219
Answer:
0.22
Step-by-step explanation:
Answer:
0.22
Step-by-step explanation:
hope it helps
solve for x -2x + 2 = x -13
Answer:
x = 5
Step-by-step explanation:
Add 2x to both sides: 2 = 3x - 13
Add 13 to each side: 15 = 3x
Divide both sides by 3: 5 = x
Isolate with the variable by dividing each side by factors that don't contain the variable. So, x= 15
Show the algorithm/abstract strategy to justify the 3/5?
The algorithm/abstract strategy to justify the fraction 3/5 involves interpreting it as a division, performing the division, and obtaining the decimal representation as the results.
To justify the fraction 3/5, we can use the concept of division and understand it as a ratio or proportion.
Algorithm/Abstract Strategy:
Start with the numerator, which is 3.
Identify the denominator, which is 5.
Interpret the fraction as a ratio or comparison between the numerator and denominator.
Understand that 3/5 represents a division where the numerator (3) is divided by the denominator (5).
Perform the division: 3 ÷ 5.
Simplify the division to its simplest form, if necessary.
The result of the division, in this case, is the decimal representation of the fraction.
If required, convert the decimal representation to a percentage or any other desired form.
For example, if we perform the division 3 ÷ 5, the result is 0.6.
So, 3/5 can be justified as the ratio or proportion where the numerator (3) is divided by the denominator (5) resulting in 0.6.
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Please explain how to solve the linear equation to get 20 simply, please. Thank you!
Let's solve that second equation for x
12+x = 0.80(x+20)
12+x = 0.80*x + 0.80*20
12+x = 0.80x + 16
x-0.80x = 16-12
0.2x = 4
x = 4/0.2
x = 20
So that's where the 20 comes from. It's a coincidence its the same exact value as the number of total games played so far (before the x additional games are played).
Answer:
Raj and Aditi like to play chess against each other have won 12 of the 20 games so far. They decide to play more games.
How many more games will Aditi have to win to have a 70% winning record?
= 12 + x = 0.70 (20 + x)
= x = 20/3 = 6.67 or 7 games more
How many more games will Aditi have to win to have a 80% winning record?
Use the distributive property to multiply 0.8 by x+20.
12 + x = 0.80 (x + 20)
12 + x= 0.8x + 16
Subtract 0.8x from both sides.
12 + x − 0.8x = 16
Combine x and −0.8x to get 0.2x.
12 + 0.2x = 16
Subtract 12 from both sides.
0.2x = 16 − 12
Subtract 12 from 16 to get 4.
0.2x = 4
Divide both sides by 0.2.
x= 4/0.2
Expand 4/0.2 = 20 by multiplying both numerator and the denominator by 10.
x= 40 ÷ 2
Divide 40 by 2 to get 20.
x=20
Can someone please give me the answer I will mark u brilliant
Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.
Step-by-step explanation:
First Solid
V= l*w*h
V= 5/8*3/4*2
V= 15/16
15/16 as a decimal is 0.9375
Second Solid
V= l*w*h
V= 6*7/12*1/2
V= 7/4
7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.
Standard form:simplify the expression into fewer terms for each problem (a)-(g), write an expression in standard form
find the sum of -3x and 8x
Answer:
Step-by-step explanation:
To find the sum of -3x and 8x, you can add the two terms together using the commutative property of addition, which states that the order in which you add numbers does not affect the sum. This gives you the following:
-3x + 8x = (-3 + 8)x = 5x
So the sum of -3x and 8x is 5x. This expression is already in standard form, as it consists of a single term.
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Term 1 2021 MTH 1100 XTIB
=
Write this ratio as a fraction in lowest terms
80 minutes to 30 minutes
Answer:
8/11
3/11
Step-by-step explanation:
hope this helps!
i need help!!!! does anyone know this..!!???
The period of oscillation is 3 seconds
What is period of oscillation?A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds
Oscillation can also be vibration or revolution or cycle.
Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.
This means that the period of the particle is 3 seconds.
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A scuba diver is at a depth of 82 feet. He descends another 19 feet. Write his new depth as an integer.
Answer:
-101 feet
Step-by-step explanation:
Answer:
101 feet.
Step-by-step explanation:
82 + 19 = 101.
Based on the pattern, what are the next two terms of the sequence?
Answer:
33 , 39
Step-by-step explanation:
given
9 , 15 , 21 , 27
there is a common difference between consecutive terms, that is
15 - 9 = 21 - 15 = 27 - 21 = 6
to obtain terms in the sequence add 6 to the preceding term
27 + 6 = 33
33 + 6 = 39
the next two terms are 33 and 39
Which represents the solution set of the inequality 5x-93 212
E2020
Answer:
\(x\leq 6\)
Step-by-step explanation:
\(5x-9\leq 21\)
Add 9 to each side
\(5x-9+9\leq 21+9\)
Divide by 5
\(\frac{5x}{5} \leq \frac{30}{5}\)
Input the final result
\(x\leq 6\)
What is the image of (-3,-7) under a rotation of 90 degrees
The new coordinate (- 7, 3 ) of the image of (-3,-7) under a rotation of 90 degrees.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Let the coordinate Z is (-3, -7)
Under a clockwise rotation about the origin of 90 degrees
A coordinate ( x, y ) → ( y, - x ),
The coordinate Z is (-3, -7) and is translated using the rule
Then simply plug in the values of x and y which are x = -3 and y = -7
Thus ( -3, - 7 ) → (- 7, 3 )
This is the new coordinate for Z (- 7, 3 )
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Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
A bill originally amounting Rs 1550, now amounts to Rs 1736 after adding VAT. Find the VAT rate.kaabil original amounting
Answer: 12%
Step-by-step explanation:
Original amount = Rs 1550
VAT = Rs 1736 - Rs 1550 = Rs 186
VAT rate = VAT/Original amount × 100
= 186/1550 × 100
= 18600/1550
= 12%
Therefore, the VAT rate is 12%.
Check:
= Rs 1550 + (12% × Rs 1550)
= Rs 1550 + $186
= Rs 1736
Which characteristic is related to kenitic energy but not potential energy? A) An objects height B) An objects speed C) An objects shape D) An objects mass
Answer:
b. an objects speed
Step-by-step explanation:
because the kinetic energy is energy that is produce by movement but potential is not produce by movement