The answer is B. Both Charlie and Annabeth will have travelled for the same amount of time.
They will have travelled the same amount of time. This is because the time spent traveling is determined by the total distance travelled, not the direction of travel. In this case, the distance between New York and the travellers' current location is decreasing at first and then increasing, suggesting that they have reached their destination and are now returning. Since the total distance travelled is the same regardless of the direction, the time spent traveling will also be the same for both travellers. Therefore, both Charlie and Annabeth will have travelled for the same amount of time.
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Avery and Collin were still at it. A. Collin wrote: t(2)=19 t(n+1)=t(n)−2 Help Avery write an explicit equation. Is the sequence arithmetic, geometric, or neither? B. Then Avery wrote t(n)=6n+8. Help Collin write a recursive equation
Avery write an explicit equation is t(n)=19+(n-1)*(-2)=21-2n and a Collin write a recursive equation is t(n+1)=t(n)/6-10/3.
What is explicit equation & recursive equation?
A closed-form expression or a mathematical expression expressed in terms of a limited set of well-known functions are examples of explicit formulas. the mathematical formula expressed analytically, using a limited or infinite number of well-known functions.
A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.
To write an explicit equation, we can use the given recursive equation and find the value of the first term, t(1).
Substituting n=1 into t(n+1)=t(n)−2
gives t(2)=t(1)−2.
We know that t(2)=19, so t(1)=19+2=21.
Thus, the explicit equation for the sequence is t(n)=19+(n-1)*(-2)=21-2n. This is an arithmetic sequence.
To write a recursive equation, we can use the explicit equation that Avery wrote, t(n)=6n+8.
Rearranging this equation gives n=(t(n)-8)/6.
Substituting this expression into the recursive equation t(n+1)=t(n)−2 gives t(n+1)=(t(n)-8)/6−2.
Expanding t(n) on the right-hand side and simplifying gives t(n+1)=t(n)/6-10/3.
A explicit equation is t(n)=19+(n-1)*(-2)=21-2n and a recursive equation is t(n+1)=t(n)/6-10/3.
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)) For a company picnic, Dana ordered a box of fresh-baked gingerbread cookies and sugar
cookies. She got 70 gingerbread cookies and 30 sugar cookies. What percentage of the
cookies were gingerbread?
Dana ordered a box of fresh-baked gingerbread cookies and sugar cookies, the percentage of the cookies were gingerbread are 70%.
She got 70 gingerbread cookies and 30 sugar cookies
So total number of cookies she ordered are 100
Percentage of gingerbread cookies are
= 70 / 100
= 70 %
The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.
A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.
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Directions: Show your work to solve the word problem and explain how you
determined the solution.
Sadie went to the used bookstore and bought 2 books. One book cost $2.50
and the second book cost $3.00. She only has quarters to pay for her
purchase. How many quarters will she need?
Answer:
22 quarters
Step-by-step explanation:
$3.00 + $2.50 = $5.50
1 quarter = $0.25
$5.50 divided by $0.25 = 22
Need help
How do you solve this?
a) class interval that contains the median is: 2 ≤ h ≤ 3
b) An estimate for the mean numbers of hours: 23
What is median?In statistics, the median is the value that, when placed in order, falls in the centre of the supplied collection of data. Either descending or ascending order can be used to arrange the data or observations. The median of 2,3,4, for instance, is 3. The median is a form of average that is used to determine the center value in mathematics. The middle pair must be identified, added, then divided by two in order to calculate the median value in a list of even integers.
To find median class calculating cumulative freq. (cf) of less than type first:
Number of hours(h) frequency(f) cf
0 ≤ h ≤ 1 4 4
1 ≤ h ≤ 2 8 12
2 ≤ h ≤ 3 11 23
3 ≤ h ≤ 4 7 30
N/2 = 30/2
Where, N = ∑f
N = 15 ∑cf > N/2
so, median class is 2 ≤ h ≤ 3 since cf 23 is corresponding to this class.
Therefore class interval that contains the median is: 2 ≤ h ≤ 3.
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The clock shows the time that Ron left his home in the morning. He came home 7
hours and 35 minutes later, What time did Ron come home?
3:27 PM
12
10
2
2:17 PM
3:17 PM
-8
4
7
5
2:27 PM
When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.
Ron left his home at 7:00 AM. To determine what time he returned home, we need to add 7 hours and 35 minutes to the time he left. This can be done by adding 7 hours to the hours portion of the time and 35 minutes to the minutes portion of the time. In this case, 7 hours added to 7 AM is 2 PM, and 35 minutes added to 0 minutes is 35 minutes, so Ron returned home at 2:35 PM. To be more precise, we can convert the minutes portion of the time to a fraction of an hour, which would give us 2 hours and 35/60 of an hour or 2 hours and 0.5833 hours. When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.
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how to subtracting mixed fractions with like denominators?
Subtracting mixed numbers with the same denominators
Follow the steps to subtract mixed numbers with the same denominators:
Step 1– Subtract the wholes.
Step 2– Converting the fractions into improper fractions.
Step 3– Subtract the fraction.
Step 4– Swap the improper fraction into a mixed number.
Step 5– Write down the mixed number with wholes and the fraction.
Example- [tex]5\frac{7}{3} - 3\frac{2}{3}[/tex]
Subtract 3 from 5.
5 – 3 =2
Subtract the fractions:
[tex]\frac{7}{3} - \frac{2}{3}[/tex]
Write the fraction with the whole.
[tex]5\frac{7}{3} - 3\frac{2}{3} = 2\frac{5}{3}[/tex]
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How do you write intervals of increase and decrease?
For a real-valued function f, it is said that the interval's value increases for every x and y where f (x) f (y) (x). and the interval is referred to as declining if its value is f (x) f (y) for every x y.
What is meant by intervals?An interval is described numerically in mathematics. An interval is any set of numbers that fall between two distinct integers.This range includes all real values that fall between those two. Any kind of number you can think of exists.The distance between the upper and lower class limits is known as the class interval. For instance, the first class's class interval is 30 - 26 = 4, which is a size of 4. Similar to the first class, the second class's class interval measures 31 minus 35, or 4. A range of numbers between two given numbers that contains all of the real numbers in that range is known as an interval.To learn more about intervals, refer to:
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4. Alexander has a square-shaped basket of apples. The
basket covers the area of 36 squared feet. Find the length of any
side of the basket?
The length of any side of the square basket would be 6 feet.
What are Square roots and length?
In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The word "length" refers to the size of an object or the separation between two points. For instance, the length of a ruler is indicated below and indicates how long the ruler is.
You can find this by finding the square root of 36, which is 6.
The length of any side of the square basket would be 6 feet.
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Hey I need help relatively quickly. I can not figure out what David’s error is. Thank you so much for helping me!
Answer:
21 miles
Step-by-step explanation:
we should also use pythagoras theorem to find out how far they are from each other.
[tex] {c}^{2} = {a}^{2} + {b}^{2} \: \: \: \: \: \: \\ = {20}^{2} + {5}^{2} \\ {c}^{2} = 425 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ c = \sqrt{425} \: \: \: \: \: \: \: \: \\ = 20.61 \: \: \: \: \: [/tex]
Which settings would convert the information below into the table below?
Type of Animal Number of Children's Favorite
Whale-121
T
Tiger → 31
Lion 4
Elephant
Monkey
41
→
4
Giraffe 21
61
89
£011 1
Settings to convert Text to table is Click Insert > Table > Convert Text to Table, then set the desired parameters.
What is settings in computer?
Microsoft Windows has a feature called Windows Settings, formerly known as PC Settings. Users may manage their connected devices, customise their operating system, and change their user settings. Microsoft initially intended for Settings to replace the Windows Control Panel, which has not happened 10 years after it was first released with Windows Server 2012 and Windows 8.
Start by selecting the Show/Hide paragraph mark on the Home tab so you can see how text is separated in your document before converting text to a table or a table to text.
Text to a table conversion in Microsoft Word -
When dividing the text into table columns, use separator characters like commas or tabs.
To indicate where to start a new table row, use paragraph markers.
Click Insert > Table > Convert Text to Table after selecting the text you wish to convert.
Make your selections in the Convert Text to Table box.
Make sure the figures under "Table size" correspond to the amount of columns and rows you desire.
Select the desired appearance for your table under AutoFit behaviour.
Word chooses a width for the table column automatically.
Select the separator character you used in the text under Separate text at.
Select OK.
Therefore, the procedure to convert text to table is explained.
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A group of adult males has foot lengths with a mean of 27. 41 cm and a standard deviation of 1. 31 cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 24. 2 cm significantly low or significantly high? Explain
The adult male foot length of 24.2 cm is significantly low as it falls outside of the range of 26.10 cm to 28.72 cm.
The range is just the difference between the greatest and smallest data points in a set.
The square root of the variance is the standard deviation.
The standard deviation measures how far apart the data is from the mean.
The range is a less useful measure of variance than the standard deviation.
The range of data is a measure of variance that indicates the difference between the dataset's maximum and least observation.
It is based only on two observations, the maximum and minimum.
The range rule of thumb states that approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% of the data falls within two standard deviations of the mean.
So, the lower limit separating significantly low values will be:
27.41 - 1.31 = 26.10 cm
And the upper limit separating significantly high values will be:
27.41 + 1.31 = 28.72 cm.
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the spearman-brown formula is for which purpose? to make adjustments due to concerns that examinees might look up answers between taking the same test twice to make adjustments to reliability estimate due to concerns of shortness of the test (limited test items) to adjust correlations during factor analysis to assure accurate representation of all items to calculate the coefficient of determination (shared variance) when making adjustments to reliability estimates
The Spearman-Brown formula is used to adjust the reliability estimate of a test when concerns arise about the shortness of the test, i.e., the limited number of test items. Thus, B is correct.
The formula takes into account the number of items in the test and calculates the expected increase in reliability if the test were to be made longer. The formula is based on the assumption that adding more items to a test would increase its reliability, and thus provides a way to estimate the theoretical minimum length of a test required to achieve a desired level of reliability.
The formula is widely used in psychological testing and educational measurement to evaluate the reliability of test scores and to make decisions about the number of items needed in a test to achieve a desired level of reliability.
This question should be provided as:
The Spearman-Brown formula is for which purpose?
A) To make adjustments due to concerns that examinees might look up answers between taking the same test twice.B) To make adjustments to reliability estimate due to concerns of shortness of the test (limited test items).C) To adjust correlations during factor analysis to assure accurate representation of all items.D) To calculate the coefficient of determination (shared variance) when making adjustments to reliability estimatesE) none of the aboveLearn more about variables here: brainly.com/question/30113022
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Which expression represents the final cost of 1 sweatshirt 2 T shirts and 1 pair of pants
The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.
The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants can be represented by the following formula:
Final Cost = Sweatshirt Cost + (2 x T Shirt Cost) + Pants Cost
For example, if the cost of a sweatshirt is $20, the cost of a T shirt is $10, and the cost of a pair of pants is $30, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be:
Final Cost = $20 + (2 x $10) + $30
Final Cost = $20 + $20 + $30
Final Cost = $70
Therefore, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.
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Complete question:
What is the Final Cost of 1 Sweatshirt, 2 T-Shirts, and 1 Pair of Pants?
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
On a number line, point F is at 4, and point G is at . Point H lies between point F and point G. If the ratio of FH to HG is 3 : 9, where does point H lie on the number line?
Point H is at
on the number line
Answer:
Point H is at 4.75 on the number line.
Step-by-step explanation:
Marnie owns a carpet store and sells hallway runners for $9.52/linear foot. How much is this per linear yard?
Answer:
A linear yard is equal to 3 linear feet, so Marnie's hallway runners cost $28.56 per linear yard ($9.52 x 3 = $28.56).
Write an equivalent expression to the following: 5y + 35 HINT: Think distributive property.
Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top and bottom) with 7200cm
The volume inside the kite is equal to 540 cm³.
What is kite?In Euclidean geometry, a kite is a quadrilateral with reflection symmetry across a diagonal. Because of this symmetry, a kite has two equal angles and two pairs of adjacent equal length sidesGiven is that Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top and bottom) with 7200 centimeters square of lightweight fabric.
We can write the total area covered as -
4 x 30 x h = 7200
120h = 7200
h = 7200/120
{h} = 60 cm .... Eq { 1 }
Volume enclosed inside the kite -
V = {l} x {b} x {h}
V = 30 x 30 x 60
V = 540 cm³ .... Eq { 2 }
Therefore, the volume inside the kite is equal to 540 cm³.
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a boat takes 2 hours to travel 28.62 km down a river, then 4.4 hours to return. how fast is the river flowing?
To travel downstream, a boat needs 2 hours while to travel back upstream, it needs 4 hours. The river flows at speed of 3.58 3.58 km/hour
The relation between distance and speed is given by:
distance = speed x travelled time
In the problem, let:
vb = boat speed
v = river speed
Then, when the boat travels downstream:
28.62 = (vb + v) x 2
2vb + 2v = 28.62 ... (Equation 1)
When the boat travels upstream:
28.62 = (vb - v) x 4
Divide both sides by 2:
14.31 = (vb - v) x 2
2vb - 2v = 14.31 ... (Equation 2)
Substract equation 1 by equation 2
2vb + 2v = 28.62
2vb - 2v = 14.31 _
4v = 14.31
v = 3.58
Hence, the speed of water = 3.58 km/hour
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Chritine had already knitted 15 row of a carf. She knitted r more row over the weekend. Chooe the expreion that how the number of row Chritine ha knitted in all
"15 + r" is the expression that represents the total number of rows knitted by Christine. Thus, option B is correct.
To find the total number of rows Christine has knit, we need to add the number of rows she knit over the weekend (represented by the variable "r") to the number of rows she had already knit (15).
This can be done by using the expression:
15 + rThis expression states that the total number of rows is equal to the initial number of rows (15) plus the additional rows knit over the weekend (represented by the variable "r"). The value of "r" could be any number, so the expression "15 + r" could represent any total number of rows.
For example, if Christine knit 5 more rows over the weekend, the expression "15 + 5" would equal 20, so Christine has knit a total of 20 rows.
This question should be provided as:
Christine had already knit 15 rows of a scarf. She knitted r more row over the weekend. Choose the expression that shows the number of rows Christine has knitted in all.
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Line C has a slope of -8/3. Line D is parallel to line C. what is the slope of line C?
Since line C has a slope of -8/3 and line D is parallel to line C, the slope of line C is equal to -8/3.
What is the point-slope form?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represents the data points.In Geometry, two (2) lines are parallel under the following conditions:
m₁ = m₂
This ultimately implies that, the slope of the two lines are equal and the same:
Slope of line C = Slope of line D
-8/3 = -8/3.
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When 256 i multiplied by a poitive power of 10 the number of zero in the product i related to the power of 10. Explain how the number of zero relate to the power of 10
If you multiply 256 by 10 powered by k, then the number of zeros in the product is k
How to find integer?In this case, we have the number 256, but in reality, every INTEGER number multiplied by 10 empowered by n, the number of zeros will be equal to n.This is because, when multiplying by 10, a zero would be put. Now when multiplying to 10 * 10 = 10 ^ 2, it would have 2 zeros in the final product, and so on until leading to 10 ^ n, the result would have n zeros in the final product.Let x be any integer, if you multiply x by 10 you will have to add one zero at the right of x. If you multiply by 10 again, you will have to add a second zero at the right, thus if you multiply by 100, you will have to add 2 zeros. If you multiply by 1000 = 10*10*10 = 10³ you will have to add 3 zeros and so on.Therefore, if you multiply 256 by 10^k, then you will have to add k zeros to 256, and as a consequence, the amount of zeros in the product is equal to the power of 10 we are multiplying.
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Brian's retirement party will cost $20 if he invites 4 guests. If there are 19 guests, how much will Brian's retirement party cost? Solve using unit rates.
The party cost for 19 guests is 95 dollars.
How to find the party cost?We assume there is a proportional relation between the number of guests and the cost.
y is the cost and x the number of guests, then we can write:
y = k*x
k is the unit rate.
We know that it costs $20 to invite 4 people, then:
20 = k*4
20/4 = k
5 = k
Then the relation is:
y = 5*x
So, if x = 19 we will have:
y = 5*19 = 95
The cost for 19 guests is $95.
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Nicole is saving money. Nicole started with $5 and added $15 every week. Find the rate of change.
Answer:
The Mathman guy is wrong, the answer is actually 15.
Step-by-step explanation:
because from the equation that you gave, nicole started with $5 and added $15 every week
thus let y represent the total money and x represent the number of week after x week
nicole save: 15x
because at the beginning he has $5
so, y = 15x + 15
y = mx+c m is the slope c is the y intercept
so slope = 15
so we reach to the conclusion that the rate of change is 15
(Attachment)
100 POINTS!!
Which line is parallel to the line shown below?
I know D is right but I’m not sure how to get the answer.. it’s been way too long.
Answer:
D. 4x - 3y = 15
Step-by-step explanation:
The slope of a line is defined as the "change in y" over the "change in x".
This is also commonly referred to as "rise over run".
From inspection of the graphed line, we can see that the "rise" between the two points is 4 units up, and the "run" between to the two points is 3 units right. "Up" and "right" are positive directions, therefore the slope of the line is ⁴/₃.
The given answer options are all in standard form.
The standard form of a linear equation is Ax + By = C, where A, B and C are constants and A is positive.
The slope of a linear equation in standard form is -A/B.
If two lines are parallel, they have the same slope.
Therefore:
[tex]\implies \sf \dfrac{4}{3}=-\dfrac{A}{B}[/tex]
Remember that the constant A is positive, so this means that A=4 and B=-3. Therefore, we are looking for an answer option that includes "4x - 3y" on the left side of the equation.
Therefore, the line that is parallel to the graphed line is:
4x - 3y = 15Answer: Your answer will be D. [tex]4x-3y=15[/tex]
How do you convert 162 Pound (lb) to Kilogram (kg)?
To convert 162 pounds to kilograms, you can use the following conversion factor 1 pound = 0.453592 kilograms
How do you convert 162 Pound (lb) to Kilogram (kg)?The conversion factor of 1 pound to 0.453592 kilograms is based on the definition of the kilogram as being equal to approximately 2.20462 pounds.To convert from pounds to kilograms, simply multiply the number of pounds by the conversion factor of 0.453592.For example, 162 pounds is equal to 162 x 0.453592 = 73.48776 kilograms.This conversion factor is commonly used in various industries, such as sports, health, and trade, to convert weights between pounds and kilograms.It's important to keep in mind that this conversion factor is an approximation and may not be entirely accurate in all situations.For more precise conversions, it's best to use a conversion calculator or a reference guide that provides exact conversion factors.
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Which of the following lines would be the best fit for the data points plotted in the scatter plot below?
The line of the best fit for the data points plotted in the scatter plot is y = -0.88x + 8
How to determine the line of the best fit for the data points plotted in the scatter plot?From the question, we have the following parameters that can be used in our computation:
The graph
Using the line of the best fit, we have"
(x, y) = (8, 1) and (0, 8)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 8
Using the points, we have
1 = 8m + 8
This gives
m = -0.88
So, we have
y = -0.88x + 8
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let f(x) = 3x-2x^2 for 0
The solution is of the function 3f(x) +2g(x) is:
=> -5x-2
Now, According to the question:
Algebra of functions:
Algebra of functions means the operations of the functions, specifically the arithmetic operations. Algebra of functions mainly deals with the following four arithmetic operations of functions:
Addition of functionsSubtraction of functionsMultiplication of functionsDivision of functionsThe function given as:
f(x) = -3x, g(x) = 2x-1 are the two functions
then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)
Now find
3f(x) = 3(-3x) = -9x -----------(i)
2g(x) = 2(2x-1)
= 2(2x)-2(1)
2g(x) = 4x-2 ----------(ii)
Now, add the above two equation (i) and (ii)
3f(x) + 2g(x) = -9x + 4x - 2
= -5x-2
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The given question is incomplete, complete question is:
Let f(x) = -3x and g(x) = 2x-1
Find the following: 3f(x) +2g(x)
0 6x +4
0 -5x - 2
O There is no correct answer given.
O 8x -8
O 5x+1
Guys its that time, I neeed help
The slant height,
x = 5 meters.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A right circular cone is 4 meters tall and have a radius 6/2 = 3 meters.
Applying the Pythagoras' theorem,
The slant height = √{(3)² + (4)²}.
The slant height = √25
The slant height = 5 meters.
Therefore, the slant height = 5 meters.
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what is the least number of terms required to compute pi as 3.14
The least number of terms required to compute pi as 3.14 is approx 400.
The series is π = 4 - 4/3 + 4/5 - 4/7 + .................
We have to determine the least number of terms required to compute pi as 3.14.
We can write the series as
π = 4(1 - 1/3 + 1/5 - 1/7 + .................)
The general equation of this series is
π = 4[tex]\Sigma_{k=0}^{\infty}(-1)^k(2k+1)^{-1}[/tex]
Now let S = π. So
S = 4[tex]\Sigma_{k=0}^{\infty}(-1)^k(2k+1)^{-1}[/tex]
From the Alternating series theorem
|S - S(n)| ≤ 4/(2n+1)
Hence, the accuracy should be
4/(2n+1) ≤ 1/2 × 10^{-2}
Multiply by 2 on both side, we get
8/(2n+1) ≤ 10^{-2}
We can write 10^{-2} as 1/100. Now the expression is
8/(2n+1) ≤ 1/100
Multiply by 100 on both side, we get
800/(2n+1) ≤ 1
Multiply by 2n+1 on both side, we get
800 ≤ 2n+1
Subtract 1 on both side, we get
2n ≥ 799
Divide by 2 on both side, we get
n ≥ 399.5
Hence, approx 400 terms need to compute pi as 3.14.
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The complete question is:
What is the least number of terms required to compute pi as 3.14 using the series:
π = 4 - 4/3 + 4/5 - 4/7 + .................
How does the square root function differ from the cube root function?
The square root function contains a variable under the square root sign. The cube root function contains a variable under the cube root sign.
What is a function?
A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between varying quantities and other variables.
A variable under the square root sign is present in a square root function, and a variable under the cube root sign is present in a cube root function.
Zero has a square root of zero, and one has a square root of one. Keep in mind that the graph only contains points where x and y are positive. For instance, using the imaginary number i is necessary when taking the square root of a negative number.
The square root function is f(x) = √x
For positive values, the graph resembles the square root graph, but cube roots can also be negative, making this equation infinite for all real numbers. Recall that a negative number will result from being multiplied an odd number of times.
The cube root function is f(x) = ³√x
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