The total amount of water Keisha drinks in 12 days is 12 + 18 = 30 quarts.
Describe Algebra?Algebra is a branch of mathematics that involves using letters and symbols to represent numbers and quantities in mathematical equations and formulas. It includes a variety of topics, such as solving equations, manipulating expressions, working with functions and graphs, and studying abstract structures such as groups and rings.
At its core, algebra is about understanding the relationships between numbers and how they can be manipulated using various operations such as addition, subtraction, multiplication, and division. Algebraic expressions can be used to model real-world situations and solve problems in fields such as physics, engineering, and finance.
To find the total amount of water Keisha drinks in 12 days, we need to add up the amounts of water she drinks each day:
1 1/2 + 2 1/4 + 2 + 1 1/2 + 1 3/4 + 1 1/2 + 1 1/4 + 2 + 2 1/4 + 1 1/2 + 2 + 1 1/2
We can simplify the mixed numbers by converting them to improper fractions:
3/2 + 9/4 + 2 + 3/2 + 7/4 + 3/2 + 5/4 + 2 + 9/4 + 3/2 + 2 + 3/2
Then we can add the fractions together:
(3/2 + 3/2 + 3/2 + 2 + 2 + 2) + (9/4 + 7/4 + 5/4 + 9/4 + 3/2 + 3/2)
Simplifying the sum of the whole numbers, we get:
12
Simplifying the sum of the fractions, we get:
(18/4 + 14/4 + 10/4 + 18/4 + 6/4 + 6/4) = 72/4 = 18
So the total amount of water Keisha drinks in 12 days is:
12 + 18 = 30 quarts.
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The complete question is:
For 12 days, Keisha keeps track of how much water she drinks per day. 1 1/2 quarts, 2 1/4 quarts, 2 quarts, 1 1/2 quarts, 1 3/4 quarts, 1 1/2 quarts, 1 1/4 quarts, 2 quarts, 2 1/4 quarts, 1 1/2 quarts, 2 quarts, 1 1/2 quarts. What is the total amount of water that Keisha drinks the 12 days?
wo random samples of earnings of professional golfers were selected. one sample was taken from the professional golfers association, and the other was taken from the ladies professional golfers association. at , is there a difference in the means? the data are in thousands of dollars. use the critical value method with tables. pga lpga
in general, to perform a hypothesis test comparing the means of two independent samples using the critical value method, you would follow these steps:
State the null and alternative hypotheses. For example, the null hypothesis could be that there is no difference in means between the two populations (i.e., H0: µ1 - µ2 = 0), and the alternative hypothesis could be that there is a significant difference in means (i.e., Ha: µ1 - µ2 ≠ 0).
Determine the level of significance, α, which represents the probability of rejecting the null hypothesis when it is actually true. For example, if α = 0.05, then there is a 5% chance of making a Type I error (rejecting the null hypothesis when it is true).
Calculate the test statistic. The most common test statistic for comparing the means of two independent samples is the t-test. The formula for the t-test is:
t = (x1 - x2) / [s^2pooled/n1 + s^2pooled/n2]^0.5
where x1 and x2 are the sample means, s^2pooled is the pooled variance (calculated using the two sample variances and sample sizes), and n1 and n2 are the sample sizes.
Determine the critical value(s) from the t-distribution table based on the degrees of freedom (df) and level of significance (α). The degrees of freedom for a two-sample t-test is calculated as:
df = n1 + n2 - 2
Compare the test statistic to the critical value(s). If the absolute value of the test statistic is greater than the critical value(s), then reject the null hypothesis; otherwise, fail to reject the null hypothesis.
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¿Cuál es la aceleración que adquiere un objeto que tiene una masa de 12 Kg y es empujado con una fuerza de 20N?
The acceleration acquired by the object of mass 12 Kg and is pushed with a force of 12 N, is given by 5/3 m/s².
We know that from the first law of Newton's Law that,
F = m*a
where 'F' is applied force; 'm' is mass of object and 'a' is acceleration.
Let the acceleration acquired by the object be 'A'.
Mass of the object is (m) = 12 Kg
The force applied (F) = 20 N
So from Newton's First Law of Motion we get,
F = m*a
20 = 12*A
A = 20/12
A = 5/3
Hence the acceleration will be 5/3 m/s².
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The question is in another language. The question is in English will be -
''What is the acceleration acquired by an object that has a mass of 12 Kg and is pushed with a force of 20N?''
What is the surface area?
6 yd
10 yd
5 yd
The surface area of the right rectangular prism 280 yd².
What is the surface area of the right rectangular prism?A rectangular prism is simply a three-dimensional solid shape which has six faces that are rectangles.
The surface area of a rectangular prism is expressed as;
S.A = 2( wl + hl + hw )
Where w is the width, h is height and l is length.
From the diagram:
Length l = 6 yd
Width w = 5 yd
Height = 10 yd
Plug the values into the above formula:
S.A = 2( wl + hl + hw )
S.A = 2( 5×6 + 10×6 + 10×5 )
S.A = 2( 30 + 60 + 50 )
S.A = 2( 90 + 50 )
S.A = 2( 140 )
S.A = 280 yd²
Therefore, the surface area is 280 square yards.
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An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1. If we know that B occurred, what is the probability that A occurred too? In other words, what is the conditional probability of A given B -- P(A|B)?
The conditional probability of A given B (P(A|B)) is 1/6, or approximately 0.167.
Conditional probability is the probability of an event occurring given that another event has already occurred.
It is denoted by P(A|B), where A and B are events, and P(A|B) represents the probability of event A occurring given that event B has already occurred
The formula for conditional probability is:
P(A|B) = P(A and B) / P(B)
To find the conditional probability of A given B (P(A|B)), we can use the formula
P(A|B) = P(A ∩ B) / P(B)
We are given:
P(A) = 0.5 (probability of event A occurring)
P(B) = 0.6 (probability of event B occurring)
P(A ∩ B) = 0.1 (probability of both A and B occurring)
Now, we can plug in the given values into the formula:
P(A|B) = 0.1 / 0.6
P(A|B) = 1/6.
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Blocks of cheese are cut at the deli and weights are shown in the table below:
Cheddar
Colby Jack
Havarti
Feta
0.753 lb
0.634 lb
0.749 lb
0.696 lb
Part A
Round each block of cheese to the nearest hundredth of a pound.
Explain how you rounded.
Part B
Order the blocks of cheese from least to greatest based on their weights before
rounding and after rounding. Will both lists be in the same order? Explain.
This prompt is about rounding figures up. We can conclud t that where the above are given, both lists are not in the same order.
Why is this so?To round up the first order to the second decimal place we have:
Cheddar 0.75 lbColby Jack: 0.63 lb Havarti: 0.75 lbFeta: 0.70 lbRounding the second batch of cheese and ordering them from the least to greatst, we have:
Colby Jack - 0.63 lbFeta = 0.70 lbCheddar 0.75 lbHavarti: 0.75 lbHence, we can submit that they are both not in the same eorder.
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A rectangular hotel room is 3 meters by 8 meters. The owner of the hotel wants to recarpet the room with carpet that costs $33.38 per square meter. How much will it cost to recarpet the room?
The amount it will cost to recarpet the the whole room is $891.12
What is area ?The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.
For example, the area of a circle is given as: A = πr², where r is the radius and π is constant.
The room takes the shape of a rectangle, therefore,
Area of the room = l× w, where l is the length and w is the width.
Area = 3×8 = 24 m²
The cost of 1m² = $33.38
therefore the cost for 24m²
= 24× 33.8
= $801.12
therefore the cost to recarpet the room is $801.12
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Solve for x. Round your answer to the nearest tenth and type it in the blank without units.
The opposite side of the right triangle (x) is approximately 6.888 inches long.
Right angle triangleTo solve this problem, we can use the trigonometric ratio for the sine function, which is opposite/hypotenuse. We have the hypotenuse as 12 inches and the opposite angle as 35 degrees, so we can set up the equation:
sin(35) = opposite/12
To solve for the opposite, we can multiply both sides by 12:
opposite = 12 * sin(35)
sin(35) as approximately 0.574:
opposite = 12 * 0.574
opposite ≈ 6.888
Therefore, the opposite side of the right triangle (x) is approximately 6.888 inches long.
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An athlete is in a boat at point AA, 1/2 mi from the nearest point on a straight shoreline. She can row at a speed of 2mph run at a speed of 4mph. Her planned workout is to row to point D and then run to point C further down the shoreline. However, the current pushes her at an angle of 28from her original path so that she comes ashore at point B 3mi from her destination at point CHow many minutes will her trip take? Round to the nearest minute.
Rounding to the nearest minute, the athlete's trip will take approximately 96 minutes.
Let's start by drawing a diagram to better visualize the situation:
A x D C
o-----x------------x
| |
| |
| |
| |
| |
| |
B |
o------------o
Here, point A is where the athlete starts, point B is where she comes ashore due to the current, point C is her intended destination on the shoreline, and point D is the point where she switches from rowing to running.
From the diagram, we can see that the distance AB is 3 miles, and the distance AC is 3 + 1/2 = 3.5 miles.
We can use the Pythagorean theorem to find the distance BC:
[tex]BC^2 = AB^2 + AC^2[/tex]
[tex]BC^2 = 3^2 + 3.5^2[/tex]
[tex]BC^2 = 12.25[/tex]
BC = sqrt(12.25)
BC = 3.5
So the distance the athlete needs to travel on foot is 3.5 miles.
Let's first calculate the time it takes for her to row to point D:
Time to row to D = Distance / Speed
Time to row to D = 1/2 / 2
Time to row to D = 1/4 hours
Next, let's calculate the time it takes for her to run from D to C:
Time to run to C = Distance / Speed
Time to run to C = 3.5 / 4
Time to run to C = 7/8 hours
Now, we need to find the time it takes her to travel from B to C.
We can use the law of sines to find the angle between AB and BC:
sin(28) / 3 = sin([tex]\theta[/tex]) / 3.5
sin(theta) = 3.5 * sin(28) / 3
sin(theta) = 0.5407
theta = arc sin(0.5407)
theta = 33.15 degrees
Therefore, the angle between AB and BC is approximately 33.15 degrees.
We can use this angle and the distance BC to find the distance the athlete actually traveled from B to C:
Distance traveled from B to C = BC * sin([tex]\theta[/tex])
Distance traveled from B to C = 3.5 * sin(33.15)
Distance traveled from B to C = 1.925 miles
Finally, we can calculate the total time of the trip:
Total time = Time to row to D + Time to run to C + Time to travel from B to C
Total time = 1/4 + 7/8 + (1.925 / 4)
Total time = 0.25 + 0.875 + 0.48125
Total time = 1.60625 hours
To convert this to minutes, we can multiply by 60:
Total time = 1.60625 * 60
Total time = 96.375 minutes.
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Question 8(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.
Explain about the box plot:The distribution of data is shown using a boxplot, which is a standardised method based on a five-number summary ("minimum," first quartile ("Q1"), median ("Q3"), and "maximum").
It can reveal information about your outliers' values. Boxplots can also show you how tightly that data is grouped, whether or not your data is skewed, and whether or not your data is symmetrical.The lower and upper quartiles are shown on the left and right sides of a box and whisker plot, respectively. The interquartile range, which contains 50% of the data, is covered by the box. The median is the vertical line which it divided the box in half.For the case of -
A total of 100 distinct gummy vitamins that are offered worldwide were counted for their milligrammes of vitamin C content.
The box plot, as the median can be easily estimated from the big set of data, is the graphical representation that's most suitable for the data for gummy vitamins sold globally.
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find the value of H for the parallellogram to the right
Answer:
h = 10 13/14 units
Step-by-step explanation:
You want the height from the side of length 14 of a parallelogram with side length 17 and height 9.
AreaThe area of a parallelogram is the same, no matter which side is used as the "base". This means ...
A = bh = 17(9) = 14(h)
h = 17·9/14 = 10 13/14 . . . . units
11PLEASE HELP ME THIS IS URGENT I WILL GIVE BRAINLIEST ALL FAKE ANSWERS WILL BE REPORTED
Answer: tan 47/1 = x/.5 = x = .53618
Step-by-step explanation:
You babysit 15
hours each week for $6.00
per hour. You also earn $25.00
each week for completing chores around the house.
Use the drop-down menus to complete the equation to show a way to calculate your total weekly income, w
.
Answer:
6(15) + 25x = w
Step-by-step explanation:
6h would be the babysitting money, and since we know the hours, h, we replace the variable with the constant, 15, to get 6 * 15, or 6(15).
25x represents that each week, x, you earn $25.
Put this all together to get the answer above.
Suppose that Leni and Thom are lawyers and each has a taxable income of $230,000. They can't decide if they should be married in December or in January. If they marry in December, then they are considered married for the entire tax year and could file a joint return. If they get married in January of the next year, they would file a separate return each as a single taxpayer. Examine Schedules X and Y-1. Which filing status would yield the lower tax? If so, by how much? is there really a marriage penalty?
Answer:
1. Neither would yield the lower tax.
2. (not sure yet about how much)
3. and there is not really a marriage penalty.
true or false The area of an object's net is the same as the surface area of the object.
Answer:
True
hope it helps :) !!!
Answer:
the answer is true, it's the objects net is the same as the surface area.
Question 5
Karin has $83,555 in a retirement account right now. Suppose she deposits $3,000 this year and then increases that by 7.5% each subsequent year. The account earns 9.8%. Find her future account value after 20 years.
The solution of the given problem of percentage comes out to be Karin's future account value would therefore be about $313,425.67 after 20 years.
What are percentages?In statistics, a figure or metric that may be presented as a percentage or 100 is denoted by the abbreviation "a%". Other unusual spelling is "pct," "pct," and "pc." The percent symbol ("%") is the method that is most usually used for this.
Here,
Using the compound interest calculation, we can determine Karin's account worth in 20 years:
=> A = P(1 + r)ⁿ
P =$83,555 (current balance), as given.
(Annual interest rate) r = 9.8% = 0.098
20 years, n
Let's use the following formula to determine the future account worth for each year:
Year 1: P = $83,555 (balance as of now)
(Annual interest rate) r = 9.8% = 0.098
Given that this is the first year, n equals 1.
=> A = $83,555(1 + 0.098)¹
=> A = $83,555(1.098)
=>A = $91,785.09
Year 2: P = $6,225 (current balance after deposit) = $3,000 + $3,225.
(Annual interest rate) r = 9.8% = 0.098
n = 1 year
=> A = $6,225(1 + 0.098)¹
=> A = $6,225(1.098)
=> A = $6,834.44
After 20 years, the current balance is
=> P = $12,873.51 + (20 - 1)($3,000 + 7.5% of $3,000)
= $12,873.51 + $71,132.10 = $83,005.61.
The yearly interest rate is 9.8%, or 0.098.
20 years, n
=> A = $83,005.61(1 + 0.098)²⁰
=> A = $83,005.61(3.778)
=> A = $313,425.67
Karin's future account value would therefore be about $313,425.67 after 20 years.
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I need help solving this equation. I keep getting the +/- mixed up.
12-tx2-pn=12-t(2-x)2-pm
12-tx2-pn=12-4t+4tx-tx2-pm
Eliminate the 12 and tx2
-pn=-4t+4tx-pm
-4tx=-4t + pn-pm
divide both sides by -4t
x=1 - (pm-pn)/4t
I am not sure if this is right, but I have x= 1-(pm-pn)/4t
It looks like you did a great job solving the equation, and your final answer is correct. Here is a brief summary of the steps you took:
your final answer is correct[tex]: x = 1 - (pm - pn) / 4t[/tex]
Mathematics has been classified into many branches. Arithmetic is the branch that handles numbers and their operations. Arithmetic taught us addition, subtraction, multiplication and divisions of two or more numbers. Geometry is all about shapes and their construction using different tools like a compass, ruler and pencil. Algebra is another interesting branch where we express our daily life situations in numbers and letters (variables).
1. Expanded the equation: [tex]12 - tx^2 - pn = 12 - t(2 - x)^2 - pm[/tex]
2. Simplified: [tex]12 - tx^2 - pn = 12 - 4t + 4tx - tx^2 - pm[/tex]
3. Eliminated the 12 and tx^2 terms: -pn = -4t + 4tx - pm
4. Rearranged the equation:[tex]-4tx = -4t + pn - pm[/tex]
5. Divided both sides by [tex]-4t: x = 1 - (pm - pn) / 4t[/tex]
So, your final answer is correct[tex]: x = 1 - (pm - pn) / 4t[/tex]
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What if the dimension of the original rectangle in Exercise 1 had been multipled by 1/2? How would the area have been affected
If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.
What is the area of the rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
According to the given information:The area of a rectangle is calculated by multiplying its length and width. If the dimensions of a rectangle are multiplied by a factor of k, then the new area of the rectangle is equal to k times the original area.
In this case, the dimensions of the original rectangle are multiplied by 1/2, which means that the new length and width of the rectangle are 1/2 times the original length and width. Therefore, the new area of the rectangle is equal to (1/2) times the original length multiplied by (1/2) times the original width. This can be simplified to 1/4 times the original area. Therefore, the area of the new rectangle is one-fourth of the area of the original rectangle.
Therefore, If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.
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As a daffodil grows, it increases in height by 3 inches every 2 days. If the daffodil plant starts at 1 inch on day one, what will the height be on day 2?
Answer: If the daffodil start at 1 inch on day one, and only 1 day has passed, it will grow half of what it would in 2 days because half of 2 is 1. So the current height 1 inch + how much it will grow in one day (1.5 inches) = the final height (2.5 inches) Hope this helps :D
Step-by-step explanation:
help simplify 53b−7b−6b+1 if b=25 plsssssssssssssss
Answer:
53b - 7b - 6b + 1 with b = 25 simplifies to 1001.
Step-by-step explanation:
To simplify 53b - 7b - 6b + 1 with b = 25, we substitute 25 for b and simplify the expression as follows:
53b - 7b - 6b + 1 = 53(25) - 7(25) - 6(25) + 1
= 1325 - 175 - 150 + 1
= 1001
Therefore, 53b - 7b - 6b + 1 with b = 25 simplifies to 1001.
PROBLEM SOLVING Bicycles in the late 1800s looked very different than they do today. a. How many rotations does each tire make after traveling 600 feet? Round your answers to the nearest whole number.
what is the value of x, in units?
Answer: 12 units
Step-by-step explanation: see both shapes are the same just one is flipped and its small meaning the first shape without numbers is only double of the shape with numbers so you answer would be 12 units
small shape x 2 gives all your answers to the big shape
TOO
EASY
BYE
the probability a visitor to the home page of a website views another page on the site is 0.2. assume that 200
The probability that at least one visitor views another page on the site is very high, close to 1. This suggests that the website is engaging and visitors are likely to navigate beyond the home page.
Assuming that 200 visitors come to the home page of the website, we can use the binomial distribution to calculate the probability that at least one visitor views another page on the site.
Let X be the number of visitors who view another page. Then X follows a binomial distribution with n = 200 and p = 0.2.
P(X ≥ 1) = 1 - P(X = 0)
[tex]= 1 - (0.2)^0 * (0.8)^200= 1 - 0.8^200[/tex]
≈ 1
Therefore, the probability that at least one visitor views another page on the site is very high, close to 1. This suggests that the website is engaging and visitors are likely to navigate beyond the home page.
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40 out of 200 visitors to the homepage are expected to view another page on the site.
The probability that a visitor to a website's homepage views another page on the site and how it relates to 200
visitors.
The probability is 0.2.
To find out how many visitors out of 200 are likely to view another page on the site, you can follow these steps:
Identify the given probability, which is 0.2 in this case.
Multiply the probability by the total number of visitors (200).
So, the calculation would be:
0.2 × 200 = 40
Based on the given probability, approximately 40 out of 200 visitors to the homepage are expected to view another
page on the site.
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Find the unknown measures. Round lengths
to the nearest hundredth and angle
measures to the nearest degree.
D
2.1
E
5.3
angle D-
Answer:
A correct option is option (b).
Given,
Trigonometric ratios:
The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.
The given triangle is right angle triangle then
Now, calculate the angles.
Again,
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Step-by-step explanation:
$480, 15% interest, 1.5 years. Find the interest to the nearest cent for each principal, interest rate, and time.
The simple interest earned after 3 years on $500 at an interest rate of 6% is $90.
Simple interest is a type of interest that is calculated based only on the initial amount borrowed or invested, called the principal amount, and does not take into account any additional interest earned on the interest over time.
To find the simple interest earned on $500 at an interest rate of 6% after 3 years, we can use the formula:
Simple Interest = Principal x Rate x Time
Where
Principal = $500
Rate = 6% = 0.06 (in decimal form)
Time = 3 years
Plugging these values into the formula, we get
Simple Interest = $500 x 0.06 x 3
= $90
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I have solved the question in general, as the given question is incomplete.
The complete question is:
Find the simple interest earned after 3 years on $500 at an interest rate of 6%.
Select THREE expressions that are equivalent
to 15x + 9y.
A. 15(x + 9y)
B. 3(5x + 3y)
C. 5(3x + 3y)
D. 9(15x + y)
E. 5x + 5x + 5x + 5y + 4y
F. x + 3x + 6x + 5x + y + 6y + y + y
ADF
Thats not the answer those are just my favorite letters
From the list of numbers, write down
a. a square number
b. a multiple of 13
c. a factor 186
d. the prime number
Answer:
a) a square number:64
b) a multiple of 13:65
c) a factor of 186:62
d)the prime number:61,67
help solve this graph please
The graph of the exponential function across the interval is attached below
How to graph the exponential functionTo graph the function y = 3ˣ over the interval 1 ≤ x ≤ 2, you can follow these steps:
Choose a suitable scale for the x-axis and y-axis. Since the function grows rapidly, you may need to use a logarithmic scale on the y-axis to show the entire graph.
Plot some key points of the function. To do this, you can choose some values of x within the given interval and calculate the corresponding values of y. For example:
When x = 1, y = 3^1 = 3
When x = 1.5, y = 3^1.5 = 5.2
When x = 2, y = 3^2 = 9
Connect the plotted points with a smooth curve. Since the function is exponential, the curve will be a smooth upward curve that gets steeper and steeper as x increases.
Label the axes and add any necessary annotations or markings. For example, you may want to label the plotted points with their coordinates or add gridlines to help read off values from the graph.
Kindly find the attached graph below
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Altogether the Green Team jumped 10264 times. The Yellow Team did 759 fewer jumps than the Green Team. How many jumps did the Yellow Team do?
the given curve is rotated about the y-axis. find the area of the resulting surface. y = 1/4 x^2 − 1/2 ln(x), 3 ≤ x ≤ 5
To find the area of the resulting surface when the given curve y = 1/4x^2 - 1/2 ln(x) is rotated about the y-axis, we can use the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (dy/dx)^2)] dx from a to b
Here, a = 3 and b = 5.
First, we need to find the derivative of y with respect to x (dy/dx):
y = 1/4x^2 - 1/2 ln(x)
dy/dx = (1/4 * 2x) - (1/2 * 1/x) = x/2 - 1/(2x)
Now, let's plug this into the Surface of Revolution formula:
Surface Area = 2 * pi * ∫[x * sqrt(1 + (x/2 - 1/(2x))^2)] dx from 3 to 5
We will now integrate the expression within the brackets with respect to x from 3 to 5. This might be challenging to solve analytically, so we may need to use a numerical integration method or a calculator to find the exact value.
Once the integration is completed, you will obtain the surface area of the curve when rotated about the y-axis.
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To landscape his 70 ft by 60 ft backyard, Austin is planning first to put down a 4 inch layer of topsoil. He can buy bags of topsoil at $2.50 per 3-ft3 bag, with free delivery. Or he
can buy bulk topsoil for $22.00/yd, plus a $20 delivery fee. Which option is less expensive?
I need volume of soil, cost of bags and cost of bulk
Answer:
To calculate the volume of soil needed, we first convert the dimensions of the backyard to feet:
Length = 70 ft
Width = 60 ft
Depth = 4 in = 4/12 ft = 1/3 ft
Volume = Length x Width x Depth
Volume = 70 ft x 60 ft x (1/3) ft
Volume = 1400 ft³
Option 1: Bags of topsoil
Each bag of topsoil contains 3 ft³ of soil, so the number of bags needed is:
Number of bags = Volume / Bag size
Number of bags = 1400 ft³ / 3 ft³ per bag
Number of bags = 467 bags
The total cost of bags of topsoil is:
Cost = Number of bags x Cost per bag
Cost = 467 bags x $2.50 per bag
Cost = $1167.50
Option 2: Bulk topsoil
The volume of topsoil needed is 1400 ft³, which is equivalent to:
Volume = 1400 ft³ / 27 ft³ per yd³
Volume = 51.85 yd³ (rounded to two decimal places)
The cost of bulk topsoil is:
Cost = Volume x Cost per yd³ + Delivery fee
Cost = 51.85 yd³ x $22.00 per yd³ + $20.00 delivery fee
Cost = $1153.70
Therefore, buying bulk topsoil is less expensive than buying bags of topsoil. The cost of bulk topsoil is $1153.70, while the cost of bags of topsoil is $1167.50
Answer:
Bulk is less expensive
Step-by-step explanation:
First convert inches to feet: 4 in x 1 ft/12 in =0.333 ft
Volume of topsoil needed = 70 x 60 x 0.333 = 1400 ft³
Bagged topsoil: 1400 ft³ x $2.50/3 ft³ = $1166.67
Bulk: 1400 ft³ x 1 yd³/27 ft³ x $22.00/yd³ + $20 = $1160.74
Bulk is just a little cheaper