Answer:
Tennis, a game of skill and grace,
A dance upon a court of green.
Racquets are partners in this space,
A symphony of motion seen.Each stroke a crescendo to the ear,
A harmony of speed and spin.
The ball, a fleeting, flashing sphere,
A fleeting moment to win.The court is life, a battlefield,
Of challenges and victories.
A test of strength, both heart and mind,
Of courage, skills, and agility.The net, a barrier, divides,
Two opponents in their quest.
A symbol of the tension that resides,
In every match, every test.But when the final point is served,
And winner takes the day.
The court transforms, a stage, preserved,
For celebration in its way.
Step-by-step explanation:
1.
A worker uses 4 gray tiles for every 5 blue tiles that he uses.
If he uses 60 gray tiles, how many blue tiles does he use?
b. If he uses 540 tiles altogether, how many gray tiles does he use?
Answer:
240
Step-by-step explanation:
60/ 4=15
15×5=75
b) 4+5=9
540/9=60
4×60=240
Suppose you are given a rectangular prism with dimensions a, b, and c. Which of the following corresponds to the quantity 2a 2c? A. the rate of change of the volume with respect to a B. the rate of change of the volume with respect to b C. the rate of change of the surface area with respect to a D. the rate of change of the surface area with respect to b E. the rate of change of the surface area with respect to c
The quantity 2a 2c corresponds to the rate of change of the surface area with respect to a. So, Correct option is C.
When considering a rectangular prism with dimensions a, b, and c, there are three different measures that we can associate with the dimensions: the length, width, and height. These measures are important in determining both the volume and the surface area of the prism.
In this problem, we are given a quantity 2a 2c and asked to determine which measure of the rectangular prism it corresponds to. We can do this by considering the formulas for the volume and surface area of the prism, and taking the partial derivatives with respect to each of the three dimensions.
The volume of a rectangular prism is given by:
V = abc
Taking the partial derivative of this expression with respect to a, we get:
[tex]\frac {\partial v} {\partial a}[/tex] = bc
This is not equal to 2a 2c, so we can eliminate the possibility of the quantity corresponding to the rate of change of the volume with respect to a.
Taking the partial derivative of the volume with respect to b and c gives:
[tex]\frac {\partial v} {\partial b}[/tex] = ac
[tex]\frac {\partial v} {\partial c}[/tex] = ab
Again, neither of these expressions is equal to 2a 2c, so we can eliminate the possibilities of the quantity corresponding to the rate of change of the volume with respect to b or c.
Next, we can consider the surface area of the prism, which is given by:
A = 2ab + 2ac + 2bc
Taking the partial derivative of this expression with respect to a, we get:
[tex]\frac {\partial v} {\partial a}[/tex] = 2b + 2c
Substituting 2a 2c for 2b + 2c, we get:
[tex]\frac {\partial A} {\partial a}[/tex] = 2a 2c
This is the same expression as the given quantity, so we can conclude that the quantity 2a 2c corresponds to the rate of change of the surface area with respect to a.
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Combine like terms: 5x2 - 4x
The collection of the like terms of the equation 5x^2 - 4x + 9x^2 + 2x can be expressed as 14x^2 - 2x .
How can the factorization be performed?The concept here is collecting the like terms, Algebraic expressions can be made simpler by combining like terms. Combining similar phrases is another name for it. In order to accomplish this, we locate similar terms in an algebraic equation and combine them by either adding or subtracting.
To collect like terms, add up the quantities of the same thing. The sales of various sizes of the same article of clothing, such as a jumper, will be added up by a buyer.
5x^2 - 4x + 9x^2 + 2x
=5x^2 + 9x^2 - 4x + 2x
=14x^2 - 2x
Therefore, option C is correct.
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1/5 x 10 multiply fractions: parts of a group
WHAT IS THE DOMAIN? PLEASE HELP
The domain of the given relation is:
D: {-3, -2, -1, 0, 1, 3}
What is the domain?For any relation that maps elements from one set into elements of another set, the domain is just the set of the inputs, and usually the domain is the se of the values "x"
Here the domain is the listof numbers in the left,the domain is:
D: {-3, -2, -1, 0, 1, 3}
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anthony goes to the library every 4th day, and giovani goes to the library every 6th day . when will they go on the same day? (from applepie's little brother)
Anthony and Giovani will both go to the library on the same day every 12th day.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
To find out when both Anthony and Giovani will go to the library on the same day, we need to find the smallest number that is divisible by both 4 and 6.
We can start by listing the multiples of 4 and 6 until we find a common multiple:
Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, ...
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, ...
We see that 12 is the smallest common multiple of 4 and 6.
Therefore, Anthony and Giovani will both go to the library on the same day every 12th day.
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Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-3)(x-1)(x+1).
The graph of the function f(x)=(x-3)(x-1)(x+1) is given by the image presented at the end of the answer.
How to construct the graph of the function?The function for this problem is defined as follows:
f(x)=(x-3)(x-1)(x+1).
The product is written as a product of it's linear factors, hence the x-intercepts are given as follows:
x = 3.x = 1.x = -1.The y-intercept of the function is given as follows:
f(0) = -3(-1)(1) = 3.
The end behavior is given as follows:
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If a trend line has equation y = 0.0001x + 12, what could you say about the data?
The statement about the data the points appear to be on a straight line
How to determine the statement about the dataFrom the question, we have the following parameters that can be used in our computation:
Equation of a trend line: y = 0.0001x + 12
The above equation is a linear equation
This implies that the data points represented by the equation would appear to be on a straight line
Note that: The points may or may not be on a perfect straight line depending on the correlation value
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The sum of the series
1+7+3+10+5+13+7+16+..... to 30 terms is :
Answer:
please type your questions well
Indentify any vertical asymptotes and holes of f(x)= x^2+6x+9/x^2-9
The vertical asymptote of the function [tex]f(x) = \frac{x^2 + 6x + 9}{x^2 - 9}[/tex] is at x = 3.
What is an asymptote?Asymptote is a line or curve that serves as the boundary of another line or curve in mathematics.
Given, A function [tex]f(x) = \frac{x^2 + 6x + 9}{x^2 - 9}[/tex].
Factoring the numerator and the denominator we have,
[tex]f(x) = \frac{(x+3)(x+3)}{(x+3)(x-3)}[/tex]
Now, The holes of the function are at [tex]f(x) = \frac{(x+3)}{(x-3)}[/tex], x + 3 = 0, x = - 3.
And the asymptote of the function is at x - 3 = 0, x = 3.
Therefore, The asymptote will be a dotted vertical line at x = 3.
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What is the value of log4^16
Answer:
Step-by-step explanation:
Using properties of logs:
= 16 log 4
= 9.63
For the data in the following sample: 10, 6, 8, 6, 5 find the mean
Answer:
7
Step-by-step explanation:
To find the mean of a set of numbers, we add up all the numbers and divide the sum by the total number of numbers.
For the given sample, we have:
10 + 6 + 8 + 6 + 5 = 35
There are 5 numbers in the sample, so we divide the sum by 5:
35 / 5 = 7
Therefore, the mean of the sample is 7.
A total of 3 ft falls over 3 days. On the first day, 1/6 of the total rain falls. On the second day, 7/12 of the total rain falls. How much rain falls each day in inches? Show your work. Please help.
Answer:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
Step-by-step explanation:
First, we need to convert the total rainfall from feet to inches. Since 1 foot is equal to 12 inches, 3 feet is equal to 36 inches.
On the first day, 1/6 of the total rainfall falls, so:
(1/6) * 36 = 6 inches
On the second day, 7/12 of the total rainfall falls, so:
(7/12) * 36 = 21 inches
To find the rainfall on the third day, we can subtract the rainfall on the first and second days from the total rainfall:
36 - 6 - 21 = 9 inches
Therefore, the amount of rainfall on each day, in inches, is:
Day 1: 6 inches
Day 2: 21 inches
Day 3: 9 inches
ASAV ANSWER PLAZ HELP
Answer:
man female women man women male female measurement measurement master mysteries milkman milkmaid monk non Mr Mrs nephew nice papa
Run tests can reveal non-random patterns in the time-ordered data. Select 4 patterns that might be seen.
- Points outside limits
- Trend
- Scatter Plot
- Cycles
- Too much dispersion
- Bias
If we run tests that can reveal non random patterns in the time ordered data , then the four patterns that might be seen are : Points outside limits , Trend , Cycles and Bias .
The four patterns that might be seen in run tests which can reveal non-random patterns in time-ordered data are:
(i) Points outside limits: This pattern indicates that the data points fall outside of the control limits and suggests that the process is not in statistical control.
(ii) Trend: This pattern indicates that the data points are moving consistently in a particular direction, either increasing or decreasing over time.
(iii) Cycles: This pattern indicates that the data points are oscillating around a central value over time, with a repeated pattern of highs and lows.
(iv) Bias: This pattern indicates that the data points are consistently above or below the centerline over time, indicating a systematic error or shift in the process.
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Which relationship represents an example of mutualism? A a lynx hunting a snowshoe hare B an owl and a snake feeding on rats C a tapeworm absorbing nutrition from the intestines of a host organism D an ant colony living on an acacia tree and not allowing vines to grow on the bark
The scenerio that represents an example of mutualism would be an ant colony living on an acacia tree and not allowing vines to grow on the bark. That is option D.
What is mutualism?Mutualism is defined as the feeding relationship where by the both organisms which are involved work together to benefit from each other.
A typical example of mutualism is the relationship that exists between the ant and the acacia tree.Here, the ant colony living on an acacia tree and not allowing vines to grow on the bark shows that both organisms benefits from each other.
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Two buckets, each with a different volume of water, start leaking water at the same time, but at different rates. Assume the volumes are changing linearly.
The difference between the starting volumes is 200 milliliters, the first bucket has the larger volume.
What is the difference between the starting volumes?We know that the volumes can be modeled by linear equations, and remember that a general linear equation is:
y = a*x + b
Where a is the slope and b is the initial value.
If the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
For the first bucket we have the points (1, 2900), (10, 2000), then the slope is:
a = (2000 - 2900)/(10 - 1) = -900/9 = -100
So we can write:
y = -100*x + b
To find the value of b, we can replace the value of one of the points in the equation. I will use the first point (1, 2900)
2900 = -100*1 + b
2900 + 100 = b
3000 = b
Now for the other bucket, we have the points (1, 2725) and (10, 2050), so the slope is:
a = (2725 - 2050)/(10 - 1) = -75
So this line is:
y = -75*x + b
Again, replacing the values of one of the points we will get:
2725 = -75*1 + b
2725 + 75 = b
2800 = b
Then the difference in the starting volumes is:
3000 - 2800 = 200
The first bucket has 200 milliliters more.
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A potato head comes with 12 noses, 20 sets of eyes, 5 lips, and 30 accessories. How many arrangements can be made with 1 of each piece?
The number of different arrangements is 36,000
How many arrangements can be made with 1 of each piece?This is equivalent to the total number of combinations, it is given by the product between the numbers of options.
The numbers of options are:
12 for the noses
20 for the eyes
5 for the lips
30 accessories.
Then the number of different arrangements is:
N = 12*20*5*30 = 36,000
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Mr.Aba builds a circular patio with a diameter of 12 feet.He covers the patio with paving stones.The cost of the paving stones is $10.50 per square foot.To the nearest dollar,how much do the paving stones cost?
The total cost of the paving stones for building a circular patio with a diameter of 12 feet is C. $1,187.
How is the total cost determined?The area of the circular patio using its diameter and pi (22/7) is determined with the formula below.
The unit cost per square foot is multiplied by the area to determine the total cost.
A = π (d/2)^2
The diameter of a circular patio = 12 feet
The area, A = π (d/2)^2
= 22/7(12/2)^2
= 113.14 ft²
The cost per square foot of paving stones = $10.50
The total cost = $1,187.97 ($10.50 x 113.14)
= $1,188
Thus, using the mathematical operation of multiplication, we can conclude that Mr. Aba's project will cost Option C.
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find mGHJ in degrees inscribed angles
If the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
What is angle?Angel is a geometric figure that can be described as the amount of rotation between two straight line or planes and angles is measured in degree with the full circle being 360°.
The measure of an inscribed angle in a circle is always equal to the measure of its intercepted arc. The measure of the arc intercepted by a central angle is determined by the formula, mGHJ = 360° - mJKH. Therefore, the measure of an inscribed angle in a circle with intercepted arc GHJ is equal to mGHJ = 360° - mJKH. This means that the measure of an inscribed angle in a circle can vary depending on the measure of its intercepted arc. For example, if the measure of the intercepted arc GHJ is 180°, the measure of the inscribed angle GHJ will be mGHJ = 360° - 180° = 180°.
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There are 52 cards in a deck with 13 cards of each of the four suits. Marlin draws one card, put its back and draws another one. What is the probability that she draws a hearts card and then a 6? Enter your answer as a fraction or a decimal rounded to the nearest hundredth.
Answer: 1/52
Step-by-step explanation:
There is a 13/52 chance of drawing a hearts card and then there is a 4/52 chance of drawing a 6
(13/52)(4/52)=1/52
There is a 1/52 chance of Marlin drawing a hearts card and then a 6
4-Omertopen
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what is a solution to a system?
what does a solution look like?
Determine if (10, 2) is a solution to the system
(x-2y = 8
(x + 2y = 14
The solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
What is an equation?A mathematical statement connecting two expressions by equal sign is called an equation.
Given is a system of equations, x-2y = 8 and x + 2y = 14, we are to find the solution and determine if (10, 2) is a solution to the system,
x-2y = 8
x+2y = 14
Adding both the equations,
2x = 22
x = 11
Put x = 11 in any equation to find the value of y,
11 - 2y = 8
2y = 3
y = 3/2
Now, to determine whether (10, 2) is a solution to the system or not, put x = 10 and y = 2 and see if the value is satisfying the equation or not,
10 - 4 = 6
6≠8
Therefore, (10, 2) is not a solution of the equations,
Hence, the solution of the given system of equation is (11, 3/2) and (10, 2) is not a solution of the equations,
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The question is solved for :
Determine if (10, 2) is a solution to the system and what is a solution to a system?
x-2y = 8
x + 2y = 14
Yall please help fast Veronica went on three hikes. On each hike, she saw the following numbers of animals:
Hike Length of hike
(
km
)
(km)left parenthesis, start text, k, m, end text, right parenthesis Number of animals seen
Rivers Edge
3
33
8
88
Wooded Marsh
8
88
24
2424
Canyon Creek
15
1515
35
3535
Veronica tried to order the hikes from least to greatest by the number of animals seen per kilometer, but she made a mistake. Here's her work:
Choose 1 answer:
WILL GIVE ALL MY PONITS
Answer:
Veronica's attempt at ordering the hikes from least to greatest by the number of animals seen per kilometer is not correct.
To order the hikes by the number of animals seen per kilometer, we need to calculate the number of animals seen per kilometer for each hike. We can do this by dividing the number of animals seen by the length of the hike in kilometers.
Using this method, we can calculate the number of animals seen per kilometer for each hike as follows:
Rivers Edge: 8/3 = 2.67 animals/km
Wooded Marsh: 24/8 = 3 animals/km
Canyon Creek: 35/15 = 2.33 animals/km
Based on these calculations, the correct order of the hikes from least to greatest by the number of animals seen per kilometer is Rivers Edge, Canyon Creek, Wooded Marsh.
Veronica's mistake appears to be that she simply ordered the number of animals seen in each hike from least to greatest, rather than calculating the number of animals seen per kilometer.
A rock is thrown upward with a velocity of 22
meters per second from the top of a 45
meter high cliff, and it misses the cliff on the way back down. When will the rock be 9
meters from ground level? Round your answer to two decimal places.
Gravity Formula
The rock will be 9 meters from ground level at a time of:
x = 5.76 seconds.
How to model the situation?The quadratic function that models a projectile's height is given as follows:
y = -4.9t² + v(0)t + h(0)
In which:
v(0) is the initial velocity.h(0) is the initial height.The parameters for this problem are given as follows:
v(0) = 22, h(0) = 45.
Hence the height function is given as follows:
y = -4.9t² + 22t + 45.
The rock is 9 meters from ground level when:
9 = -4.9t² + 22t + 45.
-4.9t² + 22t + 36 = 0
4.9t² - 22t - 36 = 0.
Hence the discriminant is given as follows:
D = 22² - 4(4.9)(-36)
D = 1189.6.
The positive root, representing the time for the height of 9 meters, is given as follows:
x = (22 + sqrt(1189.6))/9.8
x = 5.76 seconds.
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please help
the numbers of hours that you study each day for five days are shown in the table. The mean amount of time that you study each day of the week is 2.5 hours. How many total hours do you study on Friday and Saturday?
The total hours you study on Friday and Saturday is ; 3 hours
It is easy to calculate the Mean of a data table and we do this by Adding up all the numbers, then divide by how many numbers there are.
From the table, we are given number of hours spent for 5 days as;
Sunday = 0.75 hours
Monday = 1.5 hours
Tuesday = 0 hours
Wednesday = 2.5 hours
Thursday = 1 hour
Thus, if average for the week of 7 days is 1.25 and total for Friday and Saturday is x, then we have;
(0.75 + 1.5 + 0 + 2.5 + 1 + x)/7 = 1.25
x + 5.75 = 8.75
x = 8.75 - 5.75
x = 3 hours
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Required Information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Show that if n is an integer and m+ 5 is odd, then n is even using a proof of contraposition. Rank the options below. We can write n = 2k +1 for some integer k. As n + 5 Is two times an integer, it is even. Assume that n is odd. Thus, if n is odd, then 3 + 5 is even. Then, 13 + 5 = (2K+993 +5=863 +1242 +66+6 = 2(4x3 +672 + 3k + 3).
If n is an integer and m + 5 is odd, then n must be even.
To prove this statement using contraposition, we need to show that if n is odd, then m + 5 must be even. Assume that n is odd, which means we can write n = 2k + 1 for some integer k.
Then, we can rewrite m + 5 as (2k + 1) + 5 = 2k + 6 = 2(k + 3), which is even.
Therefore, we have shown that if n is odd, then m + 5 is even.
By contraposition, we can conclude that if m + 5 is odd, then n must be even. Overall, the proof uses the fact that odd + odd = even and even + odd = odd, along with the definition of even and odd integers.
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Find the measure of an
exterior angle of a regular
polygon with 36 sides.
[?]°
Enter
Answer:
The measure of an exterior angle of a regular polygon with n sides is given by the formula:
360°/n
For a regular polygon with 36 sides, the measure of each exterior angle is:
360°/36 = 10°
Therefore, the measure of an exterior angle of a regular polygon with 36 sides is 10°.
Step-by-step explanation:
The graphs below show the sales of touchless thermostats, y, for the first 8 months last year. Both graphs show the same information.
Touchless Thermostat
Touchless Thermostat
Sales ($)
80,000
60,000
40,000
20,000
0
Sales
2
4
6
Months since
Start of the Year
Graph A
8
Sales ($)
40,000
30,000
20,000
10,000
0
Sales
To emphasize the slow increase in sales, it would be best for Samantha to use
Samantha should use this graph for her presentation because the sales
2
4 6 8
Months since
Start of the Year
Graph B
Samantha is preparing a presentation and wants to emphasize that the sales increased slowly over the first 8 months last year.
Complete the following sentences.
for her presentation.
Y
on this graph.
To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph
What is graph?In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
here, we have,
How to determine the appropriate graph?
The graphs that complete the question are added as an attachment
From the attached graph, we have the following highlights:
The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....
The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....
The above means that graph B is a misleading graph
Hence, Benjamin should use graph A for his report
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Sketch line where slope should intercept.
The graph of the linear equation is on the image at the end.
How to sketch the linear equation?Here we have the following linear equation:
y = (7/3)*x + 5
To graph that line we need to find two points on the line, to get them, we need to evaluate the line in two different values of x.
if x = 0
y = (7/3)*0 + 5 = 5
if x = 3
y = (7/3)*3 + 5 = 12
Then we have the points (0, 5) and (3, 12)
Now just graph these points and connect them with a line.
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When simplifying an expression like (x2yz4)5 , what should you do with the little 5 on the outside is the parentheses?
Question 3 options:
Distribute it to all variables by dividing their exponents
Distribute it to all variables by multiplying their exponents
Distribute it to all variables by adding their exponents
Distribute it to all variables by subtracting their exponents
Answer:
B
Step-by-step explanation:
Answer:
B: Distribute it to all variables by multiplying their exponents
Step-by-step explanation: