a 20-ft-by-30-ft swimming pool is filled with water. the depth is measured at 5-ft intervals, starting at one corner of the pool, and the values are recorded in the table. estimate the volume of water in the pool.
Answers
the volume of water in the pool is 3600 cubic feet.
Let's break the pool up into 10-foot squares and use the midpoint rule.
T he 20' dimension has 2 squares --> m = 2 --> Δx = \(\frac{20}{2}\) = 10
The 30' dimension has 3 squares --> n = 3 --> Δy = \(\frac{30}{3}\)= 10
The corners and midpoints of each square will be:
(0,0) ... (10,0) ... (20,0) ... (30,0)
.... (5, 5) ... (15,5) ... (25, 5)
(0,10). (10,10). (20,10). (30,10)
..... (5,15) .. (15,15). (25, 15)
(0,20). (10,20). (20,20). (30,20)
Therefore, the midpoint rule yields an approximate volume
Δx Δy * Σ f(x*,y*), where (x*,y*) are the above 6 midpoint points
= 10 * 10 [f(5,5) + f(15,5) + f(25,5) + f(5,15) + f(15,15) + f(25,15)]
= 100 [3 + 7 + 10 + 3 + 5 + 8]
= 100(36)
= 3600 cubic feet
Extent is a degree of occupied three-dimensional space. it's far often quantified numerically through the usage of SI-derived devices (consisting of the cubic meter and liter) or by way of numerous imperial or US standard units (along with the gallon, quart, and cubic inch). The definition of the period (cubed) is interrelated with the extent. The volume of a container is generally understood to be the ability of the container; i.e., the quantity of fluid (gasoline or liquid) that the field could preserve, in place of the amount of space the field itself displaces.
In historic times, volume is measured using comparable-formed natural bins and afterward, standardized packing containers. a few easy 3-dimensional shapes will have their extent effortlessly calculated using mathematics formulas. Volumes of more complex shapes may be calculated with imperative calculus if a formula exists for the shape's boundary. 0-, one- and -dimensional items don't have any volume; in fourth and better dimensions, a similar idea to the ordinary volume is the hypervolume.
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Related Questions
What is the rule for the nth term of the arithmatic sequence given below:
5/2, 4, 11/2, 7,..……
Answers
Answer:
an = 5/2 +3/2(n -1)
Step-by-step explanation:
The common difference is ...
4 -5/2 = 3/2
The general rule is ...
an = a1 +d(n -1)
For a1 = 5/2 and d = 3/2, the rule for this sequence is ...
an = 5/2 +3/2(n -1)
___
This can be simplified to ...
an = 1 +3/2n
12:53:34
What is most often given a value of zero to describe an object’s position on a straight line?
displacement
reference point
distance
ending location
Answers
Answer:
Reference Point
Step-by-step explanation:
The answer is reference point. This is because reference point is used to determine if an object is in motion or if it has changed is direction.
Thus, reference point has to be a value of zero for us to use it to determine if an object has moved.
NEED HELP!!! Answer all of the questions below you will see a link, I would give thanks to anyone that can do this:)
Answers
Answer:
Step-by-step explanation:
e) The preimeter of a rectangular school ground is 220 m. (i) Write an equation to represent the perimeter of the ground. (ii) If the length of the ground is 60 m, find the breadth of the ground f) The perimeter of a rectangular garden is 120 m,
Answers
e) (i) The equation representing the perimeter of the rectangular school ground is 2 \(\times\) (Length + Breadth) = 220 m.
(ii) If the length of the ground is 60 m, the breadth of the ground would be 50 m.
f) The information provided is insufficient to determine the breadth of the rectangular garden.
e) (i) To represent the perimeter of a rectangular school ground, we can use the formula:
Perimeter = 2 \(\times\) (Length + Breadth)
Let's assume "L" represents the length of the ground, and "B" represents the breadth of the ground.
Therefore, the equation for the perimeter of the school ground is:
Perimeter = 2 \(\times\) (L + B)
(ii) If the length of the ground is given as 60 m, we can substitute this value into the equation and solve for the breadth.
The equation becomes:
220 = 2 \(\times\) (60 + B)
Simplifying the equation further, we have:
220 = 120 + 2B
Subtracting 120 from both sides of the equation, we get:
220 - 120 = 2B
100 = 2B
Dividing both sides of the equation by 2, we find:
B = 50
Therefore, if the length of the ground is 60 m, the breadth of the ground would be 50 m.
f) Using a similar approach, we can solve for the breadth of the rectangular garden.
Let's assume the length of the garden is represented by "L" and the breadth by "B."
The formula for the perimeter of a rectangle is:
Perimeter = 2 \(\times\) (Length + Breadth)
Substituting the given value into the equation, we have:
120 = 2 (L + B)
Simplifying further, we get:
120 = 2L + 2B
Dividing both sides of the equation by 2, we have:
60 = L + B
To solve for one variable, we need more information.
Without additional details about the length or breadth, we cannot determine the specific values of L or B.
In summary, the perimeter of the rectangular garden is given as 120 m, but without more information, we cannot find the exact values of the length and breadth.
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Its very hard so brainly is very helpful
Answers
Answer: What question do you need help with?
Answer:
do u eat cat litter
Step-by-step explanation:
Please help with part b
Answers
Answer:
64.64
Step-by-step explanation:
ok so in triangle, the angles add up to 180 degrees
so 180 - 62 - 53.4 = 64.6
the upper bound of 64.6 is 64.64 because it rounds up to 64.6 (4<5)
PLEASE HELP FAST!!!!!!!!!! i need asnwers quick
Answers
Answer:
Option A
The volume of prism is, \(180^{3}\)
Step-by-step explanation:
From the given figure, we have
The length of the triangular prism is 6 units.
Since in the triangular cross-section we have the base (b) equals 5 units and the height (h) equals 12 units.
Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross-section has base b units and height h units, then,
Volume(V) of the triangular prism in the cubic unit is given by;
\(V=\frac{1}{2}bhl\)
Putting the values of \(l=6\) unit, b=5 unit and h = 12 unit.
⇒ V = 1/2 × 5 × 6 × 12
on solving we get;
\(V=180^{3}\)
therefore, the volume of the prism is \(180^{3}\).
(brainliest would really help, thanks >:3)
How does -2(8 + 6g) equal -16 - 12g.
Answers
Answer:
use mathwa.y
Step-by-step explanation:
(-2 x 8) + (-2 x 6g)
= (-16) + (-12g)
= -16 - 12g
what volume of silver will have a mass of 2500 g if the density of silver is 10.5 g/cm
Answers
Answer:
4000.8
Step-by-step explanation:
To use the two sample t procedure to perform a significance test on the difference of two means, we assume:
Answers
We assume that the population standard deviation are known, the samples from each population are independent, the population is normally distributed if we use t test of two samples.
Given T test of significance has been used.
T test is a statistical test that is like z test. Z test is used when n>30 and t test is used when n<30. It is used in hypothesis testing.
We know that there are many test which can be used to test a hypothesis.
The requirements to perform a two sample t procedure are as follows:
1)The two samples have equal variance. Hence the variance should be known.
2) The samples for which the two sample t procedure is performed must be independent.
3) The data are in alignment with the normal distribution probability.
4) The sample are random samples taken from different respective population.
Hence when two sample t procedure is performed we have to assume population standard deviation is known and population is normally distributed.
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PLEASE HELP !! due in 10 minutes
Answers
Which of the following is accurate about The Louisiana purchase in 1803 choose 3 that apply ///help me plz
Answers
A, B, D
Step-by-step explanation:
C is false because the democratic-republicans believed in a strict interpretation of the constitution and now since there are only 3 answers left those 3 are you answers. (sorry I'm late I hope it helped)
Answer:
its A B and D I just took it
Step-by-step explanation:
Please help me out !
Answers
Answer:
D
Step-by-step explanation:
because 5x4= 20 and -3×2=-6 so you need it to equal -6 and C20÷C26 you subtract so it gives you -6
I think this is right but I maybe be wrong
You have a function that take in an X value and produce a Y value. The y value equal 5 time the x value, plu 2 more. What' the y value when the x value equal 3?
Answers
Answer:
x = 3 is 17
Step-by-step explanation:
Given the function y = 5x + 2, the y-value when x = 3 is calculated as follows:
y = 5x + 2
y = 5 * 3 + 2
y = 15 + 2
y = 17
So the y-value when x = 3 is 17.
what is the answer 4x - 12x - x
Answers
Answer:
-9x
Step-by-step explanation:
Answer:
-9x
Step-by-step explanation:
4x-12x-x
taking 'x' as common variable from three expressions,
x(4-12-1)
x.(-9)
-9x is the answer
Describe your experience for
the year highlighting your highest and lowest moments of the year. Also, write one
thing you are going to do next year to improve your grades. Write at least one
paragraph.
Answers
In order to improve my grades, i am going to prioritize consistent studying next year to improve my grades.
Why is prioritizing consistent studying important for improving grades?The consistent studying is the main key to academic success. By dedicating regular time to review and learn material, students are better able to retain information and recall it during exams.
When we create a study schedule and sticking to it, this can help us students stay on track and avoid cramming before exams which often leads to stress and poor performance. This type of studying also allows for a deeper understanding of complex concepts and improves critical thinking skills.
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Determine whether the function is a polynomial function. If it is, identify the degree.
Answers
use the function f(x)= 2x^3 -5x 7 to find the following values: of x= -4
Answers
To find the value of the function f(x) = \(2x^3 - 5x + 7\) at x = -4, we substitute -4 into the function and simplify. The value of the function at
x = -4 is -101.
To calculate the value of the function \(f(x) = 2x^3 - 5x + 7\)at x = -4, we substitute -4 for x in the equation:
\(f(-4) = 2(-4)^3 - 5(-4) + 7\)
Simplifying the expression, we have:
f(-4) = 2(-64) + 20 + 7
f(-4) = -128 + 20 + 7
f(-4) = -101
Therefore, when x = -4, the value of the function \(f(x) = 2x^3 - 5x + 7\)is -101. This means that if we substitute -4 into the function, we get a result of -101.
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a random sample of 39 students is taken. the population of students spends an average of $10.2 a day on dinner. the standard deviation is $1.4. what is the probability that the sample mean will be between $10 and $10.2?
Answers
The probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.
To calculate the probability that the sample mean will be between $10 and $10.2, we need to use the properties of the sampling distribution of the sample mean. Under certain assumptions (e.g., a large sample size or normality of the population distribution), the sampling distribution of the sample mean follows a normal distribution.
Given that the population mean is $10.2 and the population standard deviation is $1.4, we can use the Central Limit Theorem to approximate the distribution of the sample mean. The Central Limit Theorem states that for a sufficiently large sample size, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
In this case, the sample size is 39, which is considered reasonably large. Therefore, we can approximate the distribution of the sample mean as a normal distribution with a mean of $10.2 and a standard deviation of σ/√n, where σ is the population standard deviation and n is the sample size.
The standard deviation of the sample mean is calculated as follows:
Standard deviation of the sample mean = σ/√n = 1.4/√39 ≈ 0.224
To find the probability that the sample mean will be between $10 and $10.2, we need to calculate the z-scores for both values and then use the standard normal distribution (z-distribution) to find the probability.
The z-score for $10 is calculated as follows:
z1 = (10 - 10.2) / (0.224) ≈ -0.893
The z-score for $10.2 is calculated as follows:
z2 = (10.2 - 10.2) / (0.224) = 0
Now, we can use a standard normal distribution table, calculator, or software to find the probabilities associated with these z-scores.
The probability that the sample mean will be between $10 and $10.2 is equal to the probability of having a z-score between -0.893 and 0.
Using a standard normal distribution table or calculator, the probability can be calculated as follows:
P(-0.893 ≤ Z ≤ 0) ≈ P(Z ≤ 0) - P(Z ≤ -0.893)
Looking up the values in a standard normal distribution table or using a calculator, we find:
P(Z ≤ 0) ≈ 0.5 (probability of being less than or equal to the mean)
P(Z ≤ -0.893) ≈ 0.1856
Therefore,
P(-0.893 ≤ Z ≤ 0) ≈ 0.5 - 0.1856 ≈ 0.3144
Hence, the probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.
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if you always test whether the number is positive or negative, big endian is more easy to use than little endian. true false
Answers
the statement "if you always test whether the number is positive or negative, big endian is more easy to use than little endian" is incorrect.
Endianness refers to the way in which a computer stores data in memory. In big endian, the most significant byte is stored at the smallest address and the least significant byte is stored at the largest address. In little endian, the least significant byte is stored at the smallest address and the most significant byte is stored at the largest address.
The choice between big endian and little endian has no impact on testing whether a number is positive or negative. Both endianness formats can store positive and negative numbers in the same way.
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carson kelly, a catcher for the arizona diamondbacks, hit 18 home runs in 2019. if his home-run-hitting ability is expected to grow by 12 percent every year for the following five years, how many home runs is he expected to hit in 2024?
Answers
Carson Kelly is expected to hit approximately 31 home runs in 2024.
To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.
Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:
H(n) = H * (1 + r)^n
Where r is the growth rate, and n is the number of years into the future.
If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.
H = 18 (number of home runs in 2019)
r = 0.12 (growth rate)
n = 5 (number of years into the future)
H(5) = 18 * (1 + 0.12)^5
H(5) = 18 * 1.7623
H(5) = 31.9214
It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.
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Find the area of the rectangle. PLEASE ANSWER WUICK!!
Answers
Answer:
10cm²
Step-by-step explanation:
Area = Length × Width
Area = 4cm × 2.5cm
Area = 10cm²
Answer:
A=10cm²
Step-by-step explanation:
Area of a rectangle=Length × width
A=L×W
where L=4 and W=5/2
we will just substitute for the values
A= 4× 5/2
A=5×2
A=10cm²
What is the solution to log Subscript 3 Baseline (x + 12) = log Subscript 3 Baseline (5 x)
x = negative 8
x = negative 3
x = 3
x = 8
Answers
Answer:
x = 3
Step-by-step explanation:
https://brainly.com/question/14265179?utm_source=
log3(x + 12)=log3(5x)
since the bases are the same
since they both have log3
log3 cancels out
(x + 12)=(5x)
x + 12=5x
12 = 4x
3 = x
Answer: C. X=3
Step-by-step explanation:
You have found another car you want to consider buying in addition to the ones from problem 7-102. This car is a 2016 Tapota Carry. You can buy the car for $22,000, and depreciates at a rate of 12% per year.
Part 1: Create an Equation to model the value of the car over the next x years
Answers
the equation for the value of the car after x years be,
⇒ V(x) = 22,000 x\((0.88)^x\)
According to the given information,
Initial value of the car is $22,000.
Use the depreciation rate of 12% per year to calculate the value of the car after x years.
The depreciation rate of 12% ⇒ 0.12.
Multiply the initial value by (1 - 0.12) or (0.88).
So, the value of the car after one year would be:
⇒ V(1) = 22,000 x 0.88
⇒ V(1) = 19,360
To find the value of the car after two years,
We can repeat the process and multiply the value after one year by 0.88.
So, the value of the car after two years would be:
⇒ V(2) = V(1) x 0.88
⇒ V(2) = 19,360 x 0.88
⇒ V(2) = 17,068.80
Now continue this pattern to find the value of the car after any number of years x.
So, the required equation for the value of the car after x years is:
⇒ V(x) = 22,000 x\((0.88)^x\)
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Can someone help me with this. Will mark brainliest.
Answers
diagonals of a parallelogram bisects each other making an angle of 90°.
so, your answer is True
Answer:
A. True
Step-by-step explanation:
The diagonals of a parallelogram do always bisect each other. However, they only form right angles if the parallelogram is a rhombus or a square.
During a 14-day period, there is the following activity on your bank account. You deposit $100, withdraw $75, deposit $85, and withdraw $150. What is the rate of change in dollars per day) in your bank account? Round your answer to the nearest cent.
Answers
$100 - $75 + $85 - $150 in a month
-$40 / month
-$(40 * 12) / year
-$(40*12 / 365.25) /day
-$1.314 per day
-$1.31 per day to nearest cent.
Combinatorics is a branch of math focused on arrangements of objects. Jorge is an event organizer who must seat 102 guests. He has circular tables that seat 10 people each and square tables that seat 4 people each. He wants to use as many circular tables as possible but have no empty seats. Explain how he could arrange the tables he will need.
Explain how Jorge could arrange the tables he will need
Answers
To maximize the number of circular tables, he must thus employ 9 circular tables and 3 square tables.
What is Combinatorics?Combinatorics is a branch of math focused on the arrangements of objects.
Estimates of the number of operations needed by a computer algorithm can be created using combinatorial approaches.
It is given that the number of persons in each circular table and the square table will be 10 and 4 respectively.
We now need to determine the largest multiple of 10 in order to maximize the number of circular tables.
Now, if we take 100, there will only be 2 seats left. However, 4 people are needed for square tables. Therefore, 100 is incorrect.
The circular tables utilized would be if we choose 90 as a multiple of 10 is,
= 90 / 9
= 10
Number of guests left,
=102 - 90
= 12
12 is a multiple of 4 as a result 3 square tables may therefore fit 12 people,
=4 × 3
=12
Thus, to maximize the number of circular tables, he must thus employ 9 circular tables and 3 square tables.
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SOMONE PLEASEE HELPPP MEEEEEEEE!!!
Answers
Answer:
? = 36 degrees
Step-by-step explanation:
To find this measure, we use the appropriate trigonometric ratio
from the question, the angle faces the length 26 which represents the opposite
the length 44 faces the angle 90, which is the hypotenuse
The trigonometric ratio that connects both is the sine
The sine of an angle is the ratio of the opposite to the hypotenuse
Thus;
sine ? = 26/44
? = arc sine (26/44)
? = 36
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answers
Answer: 16
Step-by-step explanation:
if f(x)= 3/x^2 - 2 and g(x)=4x then g(f(3))= ?
A.) 3/7
B.) 2/3
C.) 12/3
D.) 12/7
E.) 14/7
Answers
Answer:
https://corbettmaths.files.wordpress.com/2015/03/functions-answers.pdf
Step-by-step explanation:
Sorry if this is not right