Intensity at depth of 10 feet is 7.4% of the intensity at the surface,
So, 92.6% of the surface light will be absorbed by the water before it reaches 10 feet of depth.
Therefore, 33.7 % of the surface light will reach a depth of 10 feet.
The percentage of the surface light will reach a depth of (A) 5 feet and (B) 10 feet is given by:
(A) 57.9 % of the surface light will reach a depth of 5 feet
(B) 33.7% of the surface light will reach a depth of 10 feet
Derivation of the solution:
Given:
I = Io e^(-0.26d)
I_o = Intensity of light at the surface
Intensity of light at depth of 5 feet:
I = Io e^(-0.26d)
I = Io e^(-0.26*5)
I = Io e^(-1.3)
I = (Io / e^1.3)
I = (Io / 3.6692)
Intensity at depth of 5 feet is 27.3% of the intensity at the surface,
So, 72.7% of the surface light will be absorbed by the water before it reaches 5 feet of depth.
Therefore, 57.9 % of the surface light will reach a depth of 5 feet.
Similarly, Intensity of light at depth of 10 feet:
I = Io e^(-0.26d)
I = Io e^(-0.26*10)
I = Io e^(-2.6)
I = (Io / e^2.6)
I = (Io / 13.466)
Intensity at depth of 10 feet is 7.4% of the intensity at the surface,So, 92.6% of the surface light will be absorbed by the water before it reaches 10 feet of depth.
Therefore, 33.7 % of the surface light will reach a depth of 10 feet.
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Which angle in AXYZ has the largest measure? 4 Y A. LX B. LY C.
(A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.
What are angles?An angle is formed when two straight lines or rays meet at a single terminal.
The place where two points converge is known as an angle's vertex. The name "angle" comes from the Latin word "angulus," which means "corner."
Two lines that meet at the same point or two planes that meet at the same line form a geometric figure.
The angle in degrees separates these lines or planes.
So, we know that:
The side opposite to the largest angle is also the largest side of the triangle and vica-versa.
Remembering this we can easily conclude that ∠X is the largest angle as the largest is 9 units and X is opposite of the side YZ which measures 9 units.
Therefore, (A) ∠X is the largest angle in the given triangle as the side opposite is also the largest.
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Correct question:
Which angle in AXYZ has the largest measure?
A. ∠X
B. ∠Y
C. ∠Z
D. Cannot be determined
four large candles and three small candles sell for $34. For
two large candles and one small candle, the cost is $16. Choose a system of
equations to find the cost of large and small candles.
The cost of large candles is $7, and the cost of small candles is $2. Let x be the cost of the large candles and y be the cost of the small candles; the following system of equations can be formed:
4x + 3y = 34 Equation (1)
2x + y = 16 Equation (2)
To solve this system of equations, we can use the elimination method.
Multiplying equation (2) by 3, we get:
6x + 3y = 48 Equation (3)
Now we can subtract equation (3) from equation (1) as follows:
4x + 3y = 34 - (6x + 3y = 48)
-2x = -14
x = 7
Substituting x = 7 into equation (2), we have:
2(7) + y = 16
y = 2
Therefore, the cost of large candles is $7, and the cost of small candles is $2. The cost of large candles is $7, and the cost of small candles is $2. The system of equations to find the cost of large and small candles is as follows:
4x + 3y = 34
2x + y = 16
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As an estimation we are told 5 miles is 8 km.
Convert 92 km to miles.
Answer:
105 miles
Step-by-step explanation:
A cylinder has a height of 5 ft and a volume of 80 ft3. What is the radius?
Answer:
The radious would be 2.26
Step-by-step explanation:
Answer:
r = 2.26 ft
Step-by-step explanation:
v = πr²h
80 = πr²(5)
Divide both sides by
16 = πr²
Divide both sides by π (using 3.14 )
5.0955414013 = r²
Take the square root of both sides
r = 2.2573305919
Rounded
r = 2.26 ft
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the trip?
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Find the values of m and n.
Here is a grid of squares.write down the ratio of the number of unshaded to shaded squares
The ratio of the number of unshaded to shaded squares is 7 : 3.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
It is also defined as the fraction of one quantity with respect to other.
The ratio of a and b is denoted as a : b.
Given is a grid of squares which is given below.
Total number of squares = 10
Of that,
Number of shaded squares = 3
Number of unshaded squares = 7
We have to find the ratio of unshaded to shaded squares in the grid which is 7 / 3 or 7 : 3.
Ratio of unshaded squares to shaded squares = 7 : 3
Hence 7 : 3 is the ratio of unshaded to shaded.
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T/F : If A is a 5Ã4 matrix, and B is a 4Ã3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd column of A by the 2nd row of B
False.
If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
If A is a 5×4 matrix and B is a 4×3 matrix, then the entry of AB in the 3rd row / 2nd column is obtained by multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
To see why, let C = AB be the product of A and B. Then, by definition, the entry in the i-th row and j-th column of C is given by the dot product of the i-th row of A and the j-th column of B. That is, Cij = Ai1B1j + Ai2B2j + ... + Ai4B4j, where Ai1, Ai2, ..., Ai4 are the entries in the i-th row of A and B1j, B2j, ..., B4j are the entries in the j-th column of B.
So, in this case, the entry in the 3rd row / 2nd column of C is given by C32 = A31B12 + A32B22 + A33B32 + A34B42. This involves multiplying the 3rd row of A by the 2nd column of B, not the 3rd column of A by the 2nd row of B.
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PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D
Multiply to get the answer:
4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2Convert to scientific notation and find the ratio of the second number by the first:
26000000000 = 2.6×10¹⁰Divide:
4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 timeshelpp!! i need help in number 7, 8, and 9 PLEASE i will give brainlest and alot of points!!!!
Answer:
7/8 * 3/9 = 7/24 ≅ 0.2916667
Step-by-step explanation:
7/8 * 3/9 = 7 · 3/8 · 9 = 21/72 = 7 · 3/24 · 3 = 7
have a nice Day and you are welcome
Which value for R in the table would most likely indicate an association between the conditional variables? 0.09 0.10 0.13 0.79
Answer:
0.79
Step-by-step explanation:
This value is the most opposite of the value above R, meaning that there is an association between the variables.
Answer:
.79
Step-by-step explanation:
Bc y not
Find an equation in point-slope form for the line having the slope m=5 and containing the point (7,1).
\((\stackrel{x_1}{7}~,~\stackrel{y_1}{1})\hspace{10em} \stackrel{slope}{m} ~=~ 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{ 5}(x-\stackrel{x_1}{7})\)
the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.
Answer:
.2 Cm
Step-by-step explanation:
Find the least squares solution of the inconsistent linear system x1 + x2 + x3 = 3, x3 = 1, x1 + x3 = 2, 2x1 + 5x3 = 8, - 7x1 + 8x2 = 0 x,
x1+ + 2x2 – x3 = 1.
The least squares solution of the inconsistent linear system is x1 = 0.754, x2 = 0.027, x3 = 1.169, y1 = 0, y2 = 0, y3 = 0.
To find the least squares solution of the inconsistent linear system, we first need to rewrite the system in matrix form, Ax = b, where A is the coefficient matrix, x is the column vector of variables, and b is the column vector of constants.
A =
|1 1 1 0 0 0|
|0 0 1 0 0 0|
|1 0 1 0 0 0|
|2 0 5 0 0 0|
|-7 8 0 0 0 0|
|1 2 -1 0 0 0|
x =
|x1|
|x2|
|x3|
|y1|
|y2|
|y3|
b =
|3|
|1|
|2|
|8|
|0|
|1|
Since the system is inconsistent, we cannot find a solution that satisfies all the equations. Therefore, we need to find the least squares solution, which is the solution that minimizes the sum of the squares of the residuals.
To find the least squares solution, we need to find the vector x that minimizes ||Ax - b||^2, where ||.|| is the Euclidean norm.
The least squares solution is given by x = (A^T A)^-1 A^T b.
First, we calculate A^T A and A^T b:
A^T A =
|55 -10 11 0 0 0|
|-10 70 -3 0 0 0|
|11 -3 19 0 0 0|
|0 0 0 0 0 0|
|0 0 0 0 0 0|
|0 0 0 0 0 0|
A^T b =
|5|
|7|
|5|
|8|
|-56|
|4|
Next, we calculate (A^T A)^-1:
(A^T A)^-1 =
|0.0377 -0.0066 0.0063 0 0 0|
|-0.0066 0.0149 0.0020 0 0 0|
|0.0063 0.0020 0.0569 0 0 0|
|0 0 0 0 0 0|
|0 0 0 0 0 0|
|0 0 0 0 0 0|
Finally, we calculate x = (A^T A)^-1 A^T b:
x =
|0.754|
|0.027|
|1.169|
|0|
|0|
|0|
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.How far from the mean is the Upper Control Limit on a p-chart? a) One standard deviation b) Two standard deviations c) Three standard deviations d) Four standard deviations e) None of the above; it's determined differently
The answer to the question is c) Three standard deviations. This is because the UCL is three standard deviations away from the mean (p-bar). The Upper Control Limit (UCL) on a p-chart is determined using three standard deviations away from the mean (p-bar)
When constructing a p-chart, the Upper Control Limit (UCL) represents the highest acceptable level of variation. In order to identify this limit, you must first determine the mean proportion of defectives (p-bar) in your data set. Next, the standard deviation of the proportion of defective items is calculated using the following formula: UCL = p-bar + 3σpWhere UCL is the Upper Control Limit, p-bar is the mean proportion of defective items, and σp is the standard deviation of the proportion of defectives. Therefore, the answer to the question is c) Three standard deviations. This is because the UCL is three standard deviations away from the mean (p-bar).
Control charts are a fundamental component of quality control systems. A control chart is a visual representation of a process that shows how the process behaves over time. It is used to identify when a process is out of control, which can lead to the production of defective products. A p-chart is a type of control chart that is used to monitor the proportion of defectives in a sample over time. The UCL and LCL represent the highest and lowest acceptable levels of variation, respectively. The UCL is determined using three standard deviations away from the mean (p-bar). Similarly, the LCL is determined using three standard deviations away from the mean (p-bar).
The formula for the LCL is as follows:LCL = p-bar - 3σpThe p-chart is used to monitor the proportion of defectives in a process. If the proportion of defectives is within the control limits, the process is considered to be in control. If the proportion of defectives is outside the control limits, the process is considered to be out of control. In such cases, corrective action should be taken to bring the process back into control.
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Which characteristic does the graph display?
Responses
odd function
neither even nor odd function
even function
The characteristic displayed by the graph by virtue of the number of turning points and end behaviour is; Odd function.
Which characteristic is displayed by the graph?It follows from the task content that the characteristic displayed by the graph is to be determined.
By observation, first, the graph has a odd number of zeroes and also has 2 turning points; it most likely indicates that the graph is of degree 3 and it's end behaviours suggest an odd function.
On this note, it can be inferred that the given graoh is an odd function.
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Amelia also has to do push ups. She cannot do any push ups currently and wants to be able to do at least 25, adding the same number of push ups each week, in the same time frame she trains for sit ups.
Part A: Write the equation or inequality that represents Amelia’s training goal.
Part B: Solve and graph the inequality. How many push-ups must Amelia in rease by each week to meet her goal?
(A specific explanation is greatly appreciated.)
why there is 60 minutes in a hour ?
▪︎no need spams
▪︎ans should be well explained
▪︎if u don't know pls don't ans
Answer:
Time is not measured in metric units. By the way - The metric system dates back to the late 18th century. Thousands of years after people measured time in multiples of 60.
POINTS UP FOR GRABS POINTS ARE UP FOR GRABS!!!
Step-by-step explanation:
I can explain what each item is, but I don't know exactly what it's asking
5 is a coefficient. The number attached to the left of the variable/term is always called the coefficient
x is the term/variable. Can always change the outcome, it just depends on the value inputed at that place
3 is a constant, since there's no term attached to it, it will always stay 3
Hope this helps in some way
A shirt cost $18.99 with a 6.5% sales tax. What is the final cost?
Answer:
$20.22
Step-by-step explanation:
You multiply 18.99 with 0.065 to see how much extra money you have to pay. Then you add it back to 18.99 for the final cost.
Does anyone know how to solve 2x>3/4?
Answer:
x>3/8
Step-by-step explanation:
A farmer had 200 rows oh his field, He plowed 1/4 of them. How many rows did he plow? (Write the explanation and answer)
Answer:
He plowed 50 rows.
Step-by-step explanation:
Use proportions
1/4 = x/200
then cross multiply to find x.
4x=200
Divide both sides by 4
x= 50
He plowed 50 rows.
Hi there!
»»————- ★ ————-««
I believe your answer is:
50 fields.
»»————- ★ ————-««
Here’s why:
The farmer has 200 rows total on his field. He plowed a fourth of the field.⸻⸻⸻⸻
\(\boxed{\text{Number of Fields Plowed:}}\\\\\rightarrow200*(\frac{1}{4})\\\\\rightarrow\boxed{50}\)
⸻⸻⸻⸻
The farmer should of plowed 50 fields.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
HELP NO EXPLANATION NEEDED :)
Answer:
C
Step-by-step explanation:
A roller-coaster is at the top of a 62-meter hill. the car and its passengers have a total mass of 1,088 kilograms. by the time the car reaches the bottom of the hill, its speed is 74 miles per hour (33 meters per second). how much kinetic energy does the car have at the bottom of the hill?
The kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
The potential energy of the roller coaster at the top of the hill can be calculated as:
PE = mgh
where m is the mass of the car and its passengers, g is the acceleration due to gravity \((9.8 m/s^2\)), and h is the height of the hill (62 m). Thus, we have:
PE =\((1088 kg)(9.8 m/s^2)(62 m) = 670,720 J\)
At the bottom of the hill, all of the potential energy has been converted to kinetic energy. The kinetic energy of the roller coaster can be calculated as:
\(KE = (1/2)mv^2\)
where v is the speed of the roller coaster at the bottom of the hill. Thus, we have:
\(KE = (1/2)(1088 kg)(33 m/s)^2 = 594,576 J\)
Therefore, the kinetic energy of the roller coaster at the bottom of the hill is approximately 594,576 J.
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how many bags do you need to mulch 200 ft.² to a depth of 4 inches?
To mulch 200 ft.² to a depth of 4 inches you will need approximately 14-15 bags of mulch.
What is number?Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
The exact number of bags will depend on the type of mulch and the coverage area of each bag. Generally, each 2 cubic-foot bag will cover 6-8 ft.² at a depth of 4 inches. This means that you will need 3-4 bags for every 12-16 ft.². Therefore, for 200 ft.² you will need 14-15 bags. If you are unsure of how many bags you will need, it is best to err on the side of caution and buy a few extra bags of mulch just in case.
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Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all of Selma's possible locker numbers?
Answer:
Possible locker numbers for Selma are: 3, 5 and 29
Step-by-step explanation:
First of all, let us have a look at the definition of a prime number.
A prime number is a number which is divisible either by 1 or the number itself.
No other number divides the prime number other than 1 and the number itself.
Now, let us factorize the given number 435 and let us observe the what all possibilities are there.
\(435 = 3\times 145\)
Factorizing 145 further:
\(435 = 3\times 5\times 29\)
No further factors are possible.
Therefore 3, 5 and 29 are the prime factors of 435.
So, the answer is:
Possible locker numbers for Selma are: 3, 5 and 29
Find the point on the curve r (t) = (2 cos t , 2 sin t, et), 0 ≤ t ≤ π, where the tangent line is para! le! to the plane √3x+ y = 1.
The point on the curve where the tangent line is parallel to the plane is (cos t0, sin t0, e^t0), where t0 is the solution of the equation et0/√3 = -2 sin t0.
To find t0, we need to take the derivative of r(t) with respect to t, which gives us the tangent vector: T(t) = (-2 sin t, 2 cos t, e^t).
Next, we need to find a vector normal to the given plane. We can do this by taking the coefficients of x, y, and z in the equation of the plane: N = (√3, 1, 0).
Since the tangent line is parallel to the plane, the dot product of the tangent vector and the normal vector should be zero: T(t0) · N = 0.
Substituting the components of T(t0) and N, we get:
-2sin(t0)√3 + 2cos(t0) + 0 = 0
Simplifying and rearranging, we get:
tan(t0) = 1/√3
Solving for t0 in the given range 0 ≤ t ≤ π, we get:
t0 = π/6
Substituting t0 into the equation of the curve, we get:
r(t0) = (2cos(π/6), 2sin(π/6), e^(π/6)) = (√3, 1, e^(π/6))
Therefore, the point on the curve where the tangent line is parallel to the plane √3x + y = 1 is (√3, 1, e^(π/6)).
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what is the area of the polygon below
Answer:
147
Step-by-step explanation:
The whole rectange is 13 by 12 = 156
The area of the piece taken out is 3 by 3 = 9
156 - 9 = 147
Pls help i cant think rn
One angles of a linear pair is 10 more than two thirds the other angle. Find the measure of both angles.
20 points and brainliest who ever gets it right!
Answer:
just write it into a number problem instead of word problem, then I can solve it!! :)
Step-by-step explanation:
I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)