Garrett wrote a total of 20 pages over 5 hours. how many hours will garrett have to spend writing this week in order to have written a total of 36 pages? assume the relationship is directly proportional.
Answers
If Garrett writes at a rate of 4 pages per hour, it will take him 9 hours to write a total of 36 pages this week. We use the concept of direct proportionality.
To find the number of hours Garrett will have to spend writing this week in order to have written a total of 36 pages, we can use the concept of direct proportionality.
In a direct proportion, two quantities vary in such a way that when one quantity increases or decreases, the other quantity also increases or decreases at a constant rate.
Given that Garrett wrote 20 pages over 5 hours, we can determine the rate of writing as 20 pages / 5 hours = 4 pages per hour.
To find the number of hours required to write 36 pages, we divide the desired number of pages (36) by the rate of writing (4 pages per hour):
36 pages / 4 pages per hour = 9 hours.
Therefore, Garrett will have to spend 9 hours writing this week in order to have written a total of 36 pages.
In summary, if Garrett writes at a rate of 4 pages per hour, it will take him 9 hours to write a total of 36 pages this week.
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Related Questions
a hiker in africa discovers a skull that contains 43% of its original amount of c 14 find the age of the skull to the nearest year
Answers
The age of the skull is 7000 years as half-life of C-14 is 5,700 years.
The half-life of C-14 is 5,700 years.
This means that after 5,700 years, the amount of C-14 in a sample is reduced to half of its original amount.
Let A₀ be the original amount of C-14 in the skull. Then, after some time t, the amount of C-14 remaining is 43% of A₀.
This can be expressed as:
\(0.43A_0 = A_0e^(^-^k^t^)\)
Simplifying this equation, we get
\(e^(^-^k^t^) = 0.43\)
Taking the natural logarithm of both sides, we get:
-ln(0.43) = -kt
Solving for t, we get:
t = (ln(0.43))/k
The value of the decay constant k for C-14 is approximately 0.00012 per year.
Substituting the values, we get:
t = (ln(0.43))/0.00012
=7000 years
Therefore, the age of the skull is approximately 7000 years.
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Question 4 < > The table below shows a student's quiz scores on seven quizzes. Scores 13 14 9 20 18 15 16 Find this student's median quiz score Submit Question
Answers
The student's median quiz score is 15.
To find the median quiz score, you need to arrange the scores in ascending order first:
9, 13, 14, 15, 16, 18, 20
Since there are seven scores, the median will be the middle value. In this case, the middle value is the fourth score, which is 15.
The median is a useful measure of central tendency, especially when dealing with a small data set or when the data contains outliers. It provides a representative value that is less affected by extreme scores compared to other measures such as the mean. In this case, the median score of 15 gives us a sense of the student's performance relative to the other scores.
Therefore, the student's median quiz score is 15.
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What would be the complexity of the size() method for the linked implementation of a list, if there were no count variable?
Answers
If there were no count variable, the complexity of the size() method for the linked implementation of a list would be O(n).
How complicated is the size?
By evaluating the impacts of size rise and decrease, the link between size and complexity is examined. Size increase necessitates an increase in complexity, whereas size drop permits, and occasionally necessitates, a decrease in complexity.Since the linked list's length cannot be stored in a count variable, we must traverse the list from head to tail to get its size.
To obtain the size for n nodes, we will traverse all n nodes. As a result, the time complexity is O (n).
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Determining the domain and range from a graph
Answers
Answer:
Domain = (-∞, ∞)Range = [-2, ∞)Explanation:
There are no restrictions are the domain; it can be any real number.There are no y-values less than -2, meaning the range of y-values must all be greater than or equal to -2, since -2 is the minimum value.PLEAS HELP CUZ I HAVE NO CLUE
Express the following relationship as a rate. This time, the rate should be minutes per page.
Reading 30 pages in 10 minutes
minute per page
hour per page
3 minutes per page
30 minutes per page
Answers
Answer:
i agree with 3 minutes per page.
Step-by-step explanation:
Select the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -5 10 -1 2 0 0 11 -22 x y -8 -11 -2 -5 1 -2 7 4 The first equation of this system is y = x. The second equation of this system is y = x − . The solution to the system is ( , ).
Answers
For the linear equations provided by the coordinates in the table;
The first equation of this system is y = -2x.
The second equation of this system is y = x - 3.
The solution to the system is (1, -2).
How do we solve for the system of linear equation?We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.
The slope (m) is given by the formula (y2 - y1) / (x2 - x1).
For the first line, we can use the points (-5,10) and (-1,2)
m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.
the first equation is y = -2x
the second line, we can use the points (-8,-11) and (-2,-5)
m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.
the second line has a slope of 1,
the equation should have the form y = x + c.
To find c, we can use one of the points, for instance (-2,-5):
-5 = -2 + c => c = -5 + 2 = -3.
So, the second equation is y = x - 3.
the solution to the system, we need to find where the two lines intersect.
y = -2x
y = x - 3
Setting both equation equally
-2x = x - 3
=> 3x = 3
=> x = 1.
Substituting x = 1 into the first equation
y = -2(1) = -2.
the solution to the system of linear equation would be (1, -2).
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which is the following solution to
x-13<18
Answers
Answer:
X < 31
Step-by-step explanation:
Answer: X<31
Hope this helps!
Which statement is true for any density curve? a) It is symmetric. b) The total area under the curve is one. c) It must either steadily rise or steadily fall, since it cannot do both. d) It has all of these properties.
Answers
The statement that is true for any density curve is b) The total area under the curve is one.
A density curve represents a continuous probability distribution and provides information about the relative likelihood of different values occurring. It is important to understand the properties of density curves in statistics.
Option a) states that a density curve is symmetric. While many density curves, such as the normal distribution, are symmetric, it is not a requirement for all density curves. There are asymmetric density curves, such as skewed distributions.
Option c) suggests that a density curve must either steadily rise or steadily fall, but not both. This statement is incorrect because density curves can have various shapes, including those that rise, fall, or have multiple peaks.
Option d) claims that a density curve has all of these properties. However, this is not true since the requirement of symmetry and the restriction on the shape are not applicable to all density curves.
Option b) is the correct statement. The total area under any density curve must be equal to one. This property ensures that the curve represents a valid probability distribution, where the probabilities of all possible outcomes sum up to one.
In conclusion, option b) is the true statement for any density curve, as the total area under the curve always equals one.
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.A car can travel 3.5Km on 30 litres of petrol. How far the car can travel, If it has 50 litres of petrol in its tank?
Answers
Given:
A car can travel 3.5 km on 30 litres of petrol.
To find:
The distance a car can cover if it has 50 litres of petrol in its tank.
Solution:
We have,
On 30 litres, a car can travel = 3.5 km
On 1 litre, a car can travel = \(\dfrac{3.5}{30}\) km
On 50 litres, a car can travel = \(\dfrac{3.5}{30}\times 50\) km
= \(\dfrac{3.5}{3}\times 5\) km
= \(\dfrac{17.5}{3}\) km
\(\approx 5.83\) km
Therefore, a car can travel 5.83 km on 50 litres.
What numbers make up the range of this relation: (7,5) (-3,2) (1,-1) (4,-6) (-2,4)?
Answers
Solution: {5,2,-1,-6,4}
Answer:
-6, -1, 2, 4, and 5.
Step-by-step explanation:
The range values are the y values, you should list them from least to greatest (or however the question states).
Collect like terms: 3x(exponent of 2) + 2x + 3x -1
Answers
The like terms in the expression are 2x and 3x, and the solution is 3x^2 + 5x - 1
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to collect the like terms?The expression is given as
3x(exponent of 2) + 2x + 3x -1
Rewrite the expression properly
So, we have
3x^2 + 2x + 3x -1
The like terms are the expressions that have the same variables
In this expression, the like terms are 2x and 3x
When evaluated, we have
3x^2 + 5x - 1
Hence, the equivalent expression is 3x^2 + 5x - 1
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James works on his math work for 7/8 of an hour. He works on his science for 5/8 of an hour. How much longer does James work on math than on science? Enter your answer as a fraction in simplest form by filling in the boxes.
Answers
Answer:
1/4
Step-by-step explanation:which is 2/8 simplified
As part of an annual review of its accounts, a discount brokerage selects a random sample of 26 customers. Their accounts are reviewed for total account valuation, which showed a mean of $32,700, with a sample standard deviation of $9,000. (Use t Distribution Table.) what is a 98% confidence interval for the mean account valuation of the population of customers? (Round your answers to the nearest dollar amount.) 98% confidence interval for the mean account valuation is and tween
Answers
The 98% confidence interval for the mean account valuation of the population of customers is between approximately $29,086 and $36,314.
To calculate the confidence interval, we can use the t-distribution since the population standard deviation is unknown and the sample size is relatively small (26 customers). With a 98% confidence level, we need to find the critical value from the t-distribution table. For a two-tailed test, the degrees of freedom would be n - 1, which is 26 - 1 = 25.
Using the t-distribution table or statistical software, we find that the critical value for a 98% confidence level with 25 degrees of freedom is approximately 2.787.
Next, we can calculate the margin of error, which is obtained by multiplying the critical value by the standard error of the mean. The standard error of the mean (SE) is given by the sample standard deviation divided by the square root of the sample size. In this case, SE = 9000 / √26 ≈ 1766.088.
The margin of error is then 2.787 * 1766.088 ≈ 4917.936.
Finally, we can construct the confidence interval by subtracting and adding the margin of error to the sample mean. The lower bound of the confidence interval is the sample mean minus the margin of error: 32700 - 4917.936 ≈ 29,086. The upper bound is the sample mean plus the margin of error: 32700 + 4917.936 ≈ 36,314.
Therefore, the 98% confidence interval for the mean account valuation of the population of customers is approximately $29,086 to $36,314.
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Someone help I can’t get my brain to function correctly
Answers
84= 28×3
28=4×7
4= 2×2
600= 50× 12
50= 25x2 12=3x4
25=5x5 4=2x2
hope it will hepl :)
the path of a cliff diver as he dives into a lake, is given by the equation y = -(x-10)^2+75, where y metres is the diver’s height above the water and, x meters is the horizontal distance travelled by the diver. what is the maximum height the diver is above the water?
Answers
Answer:
The highest point will be (10, 75)
Step-by-step explanation:
Use the model to solve for x. A) x = 2 B) x = 4 C) x = 8 D) x = 12
Answers
Answer:
A) x = 2
Step-by-step explanation:
I am not sure but I think this means...
2x + 5 = 3x - 3
5 = 3x - 3 + 2x
5 + 3 = 3x + 2x
8 = 5x
8/5 or 1.6 = x
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answers
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
An object is launched directly in the air at a speed of 64 feet per second from a platform located 16 feet in the air. The motion of the object can be modeled using the function f(t)=−16t2+64t+16, where t is the time in seconds and f(t) is the height of the object. When, in seconds, will the object reach its maximum height?
Answers
Answer:
Step-by-step explanation:
x= -b/2a = -64/2(-16) = 2
showing that the object will reach its highest point at 2 seconds
Please Help Me!!!!!!!
Answers
Answer: b
Step-by-step explanation: death normally last 9 min and birth 9 sec
What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Answers
Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.
The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.
Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.
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A Ferris wheel has a diameter of 150 ft. Passengers ride in a carriage around the Ferris wheel. About how far does a carriage of passengers travel during one rotation of the wheel? Round to the nearest tenth. Show or explain your thinking.
Answers
Therefore, the distance covered by a passenger vehicle during one turn of the wheel is roughly 471.2 feet (rounded to the nearest tenth).
Diameter and circumference are what?The ratio of a circle's circumference to width serves as the basis for the traditional meaning of Pi (). The diameter or extent of a circular is its circumference. A straight line connecting a spot on one point of the circular to a point at the other end, going through the middle, is the diameter.
The following algorithm determines a circle's circumference:
C = πd
where d is the diameter of the circle. In this case, the diameter of the Ferris wheel is 150 ft, so its circumference is:
C = π(150) ≈ 471.2 ft
This indicates that a full rotation of the Ferris wheel is equal to a passenger vehicle moving about 471.2 feet.
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can 8 11 and 14 be sides lengths of a triangle
Answers
Answer:
yes
Step-by-step explanation:
For the lengths to be the sides of a triangle.
The sum of any 2 must be greater than the third.
8 + 11 = 19 > 14
8 + 14 = 22 > 11
11 + 14 = 25 > 8
Then the 3 lengths can form the sides of a triangle
Answer:
Yes, it can be the sides of a scalene triangle.
Step-by-step explanation:
Because the sides and the angles of a scalene triangle are different.
Meldie made a cube whose side is (3x - 2) inches. Find its volume in cubic inches.
Answers
Answer:
x^2(3x-2) cubic inches OR in^3
OR
3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
I AM UNAWARE IF YOU ASKED THAT ONE SIDE IS (3X-2) OR ALL. I WILL ANSWER BOTH PARTS
-
NOTE: '^' MEANS TO THE POWER OF..
-
Volume = v, abc = 3 sides of cube (height, width, length)
Using the formula for volume in a cube,
\(v = abc\)
We can solve this.
If one side is (3x-2)in,
(3x-2)(x)(x) = v.... x are the other two sidesx^2(3x-2) = vx^2(3x-2) cubic inches OR in^3
If all sides are (3x-2)in,
Use the formula,
\((a - b) ^{3} = {a}^{3} + 3ab(b - a) - {b}^{3} \)
We can solve this.
(3x-2)(3x-2)(3x-2) = v(3x-2)^3 = v.... 3x = a and -2 = b(3x)^3 + [(3)(3x)(2)][2-3x] - (2)^3 = v27x^3 + 18x(2-3x) -8 = v(27x^3 + 36x - 54x^2) - 8 = v.. Terms inside brackets - take 3x as common and leave out 83x(9x^2 -18x +12) = v... Take 3 as common again in the brackets3x [ 3 ([3x^2 -6x] + 4) -8 = v....Take 3x common in the terms in square brackets3x [ 3 [ 3x (x-2) + 4 ]] - 8 = v3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 = v3x { 3 [ 3x ( x - 2 ) + 4 ] } - 8 cubic inches OR in^3
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If you have any questions regarding formulas or anything, comment and I will get back to you asap.
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work out x² -11x+18=0
Answers
Answer: x=2 or x=9
Step-by-step explanation:
Step 1: Factor left side of equation.
(x−2)(x−9)=0
Step 2: Set factors equal to 0.
x−2=0 or x−9=0
x=2 or x=9
Which set
represents the
domain of the
function shown?
{(-3, 6), (0, 2), (4,
7), (11, 15)}
Select one:
a. {(6,-3), (2, 0), (7,4),
(15, 11)
b. {2, 6, 7, 15)
c. {-3, 0, 4, 11}
d.(-3, 0, 2, 4, 6, 7, 11,
15}
Answers
Answer:
its c
Step-by-step explanation:
Not sure what the student did wrong here.
Answers
Step-by-step explanation:
The slope of the perpendicular line is the opposite inverse. So the student should have used -1/4 as the slope of the perpendicular line, not 1/4.
________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy
Answers
Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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hi y'all can anyone help me with this?? cuz i need this rn ( need a solution ) tysm!
Answers
Answer:
1. 3x² - 75y² = 3(x+5y)(x-5y)
2. 4x³y⁸ + 6x⁴y² + 10x⁵ y¹⁰ = 2x³y²(2y⁶+3x+5x²y⁸)
3. x⁸ - 1 = (x⁴+1) (x²+1) (x+1) (x-1)
4. 64a³ m² - 216 m⁵ = 8m²(2a-3m) (4a²+ 6am+9m²)
5. 2x³+ 54y³ = 2 (x+3y) (x²-3xy+9y²)
I hope I helped you^_^
i need the answer pleaseer
Answers
Hope this helped :)
Find the lowest common denominator (multiple). Type the equivalent fractions. Then, add or subtract. Simplify your answer. 1
2
1
3
Answers
Answer:what
Step-by-step explanation:what does this mean