The solution is: red<yellow<green<blue<violet are the colors.
The light spectrum contains waves with specific wavelength which can be classified into groups. Most of the groups are invisible to the eye (like infrared, microwaves, radio waves, gamma rays, etc.) however, there is one group that is known as visible light.
Visible light allows us to see colors from red all the way to violet. The colors have different frequencies and wavelengths. The wave with the highest frequency also has the highest energy (which in this case is violet). Hence, as the frequency decreases, the energy will also decrease, making violet have the highest energy, and red have the lowest energy.
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complete question:
which answer has the colors in order from the lowest energy to the highest? group of answer choices red, blue, green blue, red, green blue, green, red red, green, blue
.In a multiple regression model, the variance of the error term `eâ is assumed to be the same for all values of the dependent variable.
A)the same for all values of the independent variable
B)zero.
C)the same for all values of the independent variable.
D)one.
In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.
In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.
The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.
The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.
This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).
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True or False? "Some seventh graders" is a set
The statement is False" Some seventh graders" isn't a set.
we know, set is a well- defined collection of distinct objects, which are appertained to as rudiments or members of the set.
For illustration, consider the set A = { 1, 2, 3}. This set contains the rudiments 1, 2, and 3.
It's a expression that describes a group of individualities without furnishing a well- defined collection of rudiments.
A set is a well- defined collection of distinct objects.
To represent a set, we generally use curled braces and list the rudiments within the set.
For illustration,{ 1, 2, 3} is a set containing the rudiments 1, 2, and 3.
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(2power x+y, 3power x-y) = (16, 9)
Answer:
x = 3 , y = 1
Step-by-step explanation:
[tex]2^{x+y} = 16\\2^{x+y} = 2^4\\x + y = 4 ---- (1)\\\\3^{x-y} = 9\\3^{x-y} = 3^2\\x-y = 2 ----- (2)\\\\Adding 1 and 2 , we get ,\\ 2x = 6\\x = 3\\y = 1[/tex]
Answer:
y = 1, x = 3
Step-by-step explanation:
1.) Based on the given, we have [tex]2^{x+y}[/tex] = 16, and [tex]3^{x-y}[/tex]=9. Since [tex]2^4[/tex] is equal to 16, that means that x + y = 4. Since [tex]3^2[/tex] is equal to 9, that means that x - y = 2
2.) Now, we have a system of equations. By using elimination (adding the two together), you get x + x + y - y = 2 + 4. By simplifying, the y cancels out and you get 2x = 6. Finally, you get x = 3.
3.) To end, you need to find y. Since we have x - y = 2, and x = 3, that means that 3 - y = 2, meaning y = 1.
Pls help me w this problem thxxxxxxx
The equation of the composite function B(d) is B(d) = T(d) - A(d) or B(d) = d² + 8d
Calculating the composite function B(d)From the question, we have the following parameters that can be used in our computation:
T(d) = d² + 20d
A(d) = 12d
The function B(d) is the difference between the functions A(d) and T(d)
Using the above as a guide, we have the following:
B(d) = T(d) - A(d)
In terms of d, we have
B(d) = d² + 20d - 12d
Evaluate the difference
B(d) = d² + 8d
Hence, the composite function B(d) is B(d) = T(d) - A(d) or B(d) = d² + 8d
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Which statement is true??
it's the second answer 2 and 3 are same side interior angles
For each diagram, write down whether the line segments are marked as parallel, perpendicular or equal-length. a) c) b) d) y
The relationships between the line segments in the diagrams are as follows:
a) Equal Length
b) Parallel
c) Perpendicular
d) Equal Length
Let's analyze each diagram and determine the relationships between the line segments.
a) Equal Length:
In this diagram, the two line segments appear to be of the same length. They do not appear to be parallel or perpendicular to each other. When the lengths of two line segments are equal and their orientation doesn't affect this equality, we say they are of equal length. In this case, both line segments simply share the same length without any specific angle relationship.
b) Parallel:
In this diagram, the two line segments run side by side in the same direction and do not intersect. When two lines follow this pattern, they are considered parallel. Parallel lines have the same slope, which means they maintain a constant distance between each other as they extend indefinitely.
c) Perpendicular:
In this diagram, the two line segments meet at a right angle, forming a perfect 90-degree angle where they intersect. When two lines intersect at a right angle, they are referred to as perpendicular. Perpendicular lines have slopes that are negative reciprocals of each other, meaning they intersect at right angles.
d) Equal Length:
Similar to the first diagram, in this case, the two line segments are of equal length. They are not parallel or perpendicular; they simply have the same length.
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7+3x+15=-15
helppppppppppppp i need the answer VERY soon
joann paid $3.80 for each book sale. How much did she spendif she baught 9 books??
Answer: $34.20
Step-by-step explanation:
$3.80 is for 1 book.
Since she would buy 9 books, you would do the equation of 3.80 x 9.
You'll get the answer of 34.2, but then by making that a dollar amount it would be 34.20. Add the dollar sign, $34.20, and wahlah!
In 2010, Mr. Kelly visited the White House and met President Obama. While walking along the grounds, he excitedly realized that the walking path formed an ellipse. He paced it off and calculated that it was 1060 feet long and 890 feet wide. Unfortunately, the Secret Service didn’t take kindly to someone measuring the grounds so he was tackled and hauled off the premises.
A. Write an equation of the ellipse
B. The area of an ellipse is A=3.14ab. What is the area of the ellipse at the White House?
part A.
The equation of the ellipse is:
x² / 280900 + y² / 198025 = 1
part B.
The area of the ellipse at the White House is found to be 741,022.16 square feet.
How do we calculate?The standard form equation for an ellipse is given as :
(x² / a²) + (y² / b²) = 1
Where "a" = half the length of the major axis
b = half the length of the minor axis.
length of the major axis = 1060 feet,
a = 1060 / 2 = 530 feet.
The length of the minor axis is 890 feet,
b = 890 / 2
b= 445 feet.
x² / 530² + y² / 445² = 1
x² / 280900 + y² / 198025 = 1
B.
a = 530 feet and b = 445 feet.
Area = π * 530 * 445
A = 741,022.16 square feet
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a bicycle company needs to ship 328 bicycles across the country. if they can fit 50 bicycles in each truck about how many trucks will the company use?
The company will use approximately 7 trucks.
to separate into two or more parts or pieces. : to separate into classes or categories. : cleave entry 2, part.
To calculate the number of trucks needed, divide the total number of bicycles by the number of bicycles that can fit in each truck:
328 bicycles / 50 bicycles per truck = 6.56 trucks.
Since you can't have a fraction of a truck, the company will need to round up to the nearest whole number. Therefore, the company will use 7 trucks to ship the 328 bicycles across the country.
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find the complement set of S: U= {1,2,3,4,5,6,7,8,9,10} ,S= {2,4,6,7}
The complement set of S is {1, 3, 5, 8, 9, 10}.
To find the complement set of S, we need to identify all the elements in the universal set U that are not present in set S.
Given:
Universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set S = {2, 4, 6, 7}
The complement set of S, denoted as S', consists of all the elements in U that are not in S.
Complement set of S (S') = U - S
To find S', we subtract the elements of S from U:
S' = {1, 3, 5, 8, 9, 10}
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Write the expression, 15
-
(6 - 3r), using the fewest possible terms.
Answer: 9 + 3r
Step-by-step explanation:
To reduce the number of terms we need to combine like terms
15 - (6-3r)
Distributive property (distribute the -1)
15 - 6 + 3r
9 + 3r
What is the difference between 30% interest charged for a payday loan and a 30% APR on a credit card?
The main difference is interest charged for a payday loan is typically over a short period, whereas credit card represents the annualized interest rate over a year.
The payday loan interest is a one-time charge, while the credit card APR accumulates over time if the balance is not paid in full.
For a payday loan, the 30% interest is typically charged over a short period, often within a few weeks.
This means that if you borrow $100, you would need to repay $130, including the $30 interest, within that short timeframe.
On the other hand, a 30% APR on a credit card represents the annualized interest rate charged on the outstanding balance. This interest is spread out over a year.
If you have an outstanding balance of $100 on a credit card with a 30% APR, the interest charged over a year would be $30.
In summary, the main difference is that the 30% interest charged for a payday loan is typically applied over a short period, whereas the 30% APR on a credit card represents the annualized interest rate over a year.
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Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? Select each correct answer. Responses (−1, −6) begin ordered pair negative 1 comma negative 6 end ordered pair (7, 0) begin ordered pair 7 comma 0 end ordered pair (−3, 3) begin ordered pair negative 3 comma 3 end ordered pair (11, 3) Begin ordered pair 11 comma 3 end ordered pair
To determine which ordered pairs satisfy the equation 3x - 4y = 21, we can substitute the given x and y values into the equation and check if the equation holds true.
Let's check each ordered pair:
1. (-1, -6):
Substituting x = -1 and y = -6 into the equation: 3(-1) - 4(-6) = 3 + 24 = 27, which is not equal to 21. Therefore, (-1, -6) is not a solution.
2. (7, 0):
Substituting x = 7 and y = 0 into the equation: 3(7) - 4(0) = 21, which is equal to 21. Therefore, (7, 0) is a solution.
3. (-3, 3):
Substituting x = -3 and y = 3 into the equation: 3(-3) - 4(3) = -9 - 12 = -21, which is not equal to 21. Therefore, (-3, 3) is not a solution.
4. (11, 3):
Substituting x = 11 and y = 3 into the equation: 3(11) - 4(3) = 33 - 12 = 21, which is equal to 21. Therefore, (11, 3) is a solution.
Based on the calculations, the ordered pairs that are solutions to the equation 3x - 4y = 21 are (7, 0) and (11, 3).
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in a study of breast cancer, a mother was considered exposed if she first gave birth at 30 years of age or older. among 1,628 mothers who were exposed, 31 subsequently developed breast cancer. among the 4,450 mothers who first gave birth before the age of 30, 65 subsequently developed breast cancer. what was the incidence of breast cancer in the unexposed group (i0) per 1,000?
To calculate the incidence of breast cancer in the unexposed group (i0) per 1,000, we need to first calculate the total number of mothers in the unexposed group. The total number of mothers in the study is 1,628 + 4,450 = 6,078.
We know that among the 4,450 mothers who first gave birth before the age of 30, 65 subsequently developed breast cancer.
Therefore, the incidence of breast cancer in this group is 65/4,450 = 0.0146.
To convert this incidence rate to a per 1,000 basis, we multiply by 1,000: 0.0146 x 1,000 = 14.6.
Therefore, the incidence of breast cancer in the unexposed group (i0) per 1,000 is 14.6.
It's important to note that we cannot directly calculate the incidence rate of breast cancer in the exposed group since we do not have information on the total number of mothers in that group who did not develop breast cancer. However, we can still compare the incidence rates between the exposed and unexposed groups to see if there is a significant difference.
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find the indicated partial derivative. f(x, y) = y sin−1(xy); fy 4, 1 8
Therefore, the value of fy at (4, 1) is (sin⁻¹(4) + 4/√(-60)) / 8, or approximately -0.105 for given partial derivatives.
To find fy, we need to take the partial derivative of f with respect to y, treating x as a constant. Using the chain rule, we get:
f(x, y) = y sin⁻¹(xy)
∂f/∂y = sin⁻¹(xy) + y(1/√(1 - x²y²))(x)
Now we can substitute the given values of x and y to get:
∂f/∂y (4, 1) = sin⁻¹(4) + 1(1/√(1 - 16))(4)
= sin⁻¹(4) + 4/√(-60)
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Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
which number comes next in this series 5, 7, 11, 19, 35
Answer: 67
Step-by-step explanation:
We see a pattern where we multiply the number we added by previously by two.
For example, from 5 to 7, it is 2.
From 7 to 11, we add by 4.
From 11 to 19, we add by 8.
From 19 to 35, we add by 16.
This means the next number would be 32, adding 35 by 32 gives us 67,
Brandon's Furniture Store buys a sofa at a wholesale price of $97.00
If the markup rate at Brandon's Furniture Store is %40 what is the markup for the sofa?
Answer:
$38.80
Step-by-step explanation:
helppppppp i need help with this
Answer: t = 7°
Step-by-step explanation:
We know that a straight line is equal to 180 degrees and that the little box represents 90 degrees. Using this information we can create an equation to solve for t.
Given:
180° = 90° + 6t° + 6° + 7t° - 7°
Combine like terms:
180° = 89° + 13t°
Subtract 89 from both sides of the equation:
91° = 13t°
Divide both sides of the equation by 13:
t = 7°
3 mi.
1 mi.
a
What is the length of the missing leg? If
necessary, round to the nearest tenth.
a =
miles
Answer:
missing length= 2.8
Step-by-step explanation:
a^2+b^2=c^2
a^2+1^2=3^2
a^2=3^2-1^2
a^2=8
a=2.8284271247461
a=2.8
Find the mean median and mode of the set of data 10,11,4,7,12,11,16
Answer:
Mean = 10.14,Mode = 11,Median = 11.-------------------------
Given data:
10, 11, 4, 7, 12, 11, 16Put the data in the ascending order:
4, 7, 10, 11, 11, 12, 16The mode, the most repeated term, is 11.
The median is the middle term, also 11.
The mean is the average:
mean = (4 + 7 + 10 + 11 + 11 + 12 + 16)/7 = 10.14 (rounded)Answer & step-by-step explanation:
Let us find the median of the data set
First, you should arrange the data in ascending to descending to find the median.
4, 7, 10, 11, 11, 12, 16
Now let us use the given formula to find the median.
[tex]\sf \dfrac{n+1}{2} =--^t^h data[/tex]
Here,
n → the number of elements
Let us find it now.
[tex]\sf Median= \dfrac{n+1}{2}\\\\\sf Median=\dfrac{7+1}{2} =4^t^h data\\\\Median=11[/tex]
Let us find the mode of the data set.
Mode is the most frequent number in the data set.
∴ mode → 11
Let us find the mean of the data set
Mean is the average of a data set.
To find that, you have to add all the data together and divide it by number of elements.
Mean = Σx ÷ n
Mean = ( 10 + 11 + 4 + 7 + 12 + 11 + 16 ) ÷ 7
Mean = 71 ÷ 7
Mean = 10.14
What is the diameter of a circle with circumference 264 cm?
signal a beeps every 15 seconds
signal b beeps every 40 seconds
signal c beeps every 100 seconds
Answer: it would be 13 beeps
Step-by-step explanation:
Simplify the expression below 6 - 8x + 3
Answer:The given expression is 6 - 8x + 3.
Combining like terms, we have:
6 - 8x + 3 = 9 - 8x
Therefore, the simplified expression is 9 - 8x.
Step-by-step explanation:
THANKS
to use the normal approximation for a test of two proportions, n1 p1 , n1 (1 - p1 ), n2 p2 , and n2 (1 - p2 ) must all be greater than what number?
To use the normal approximation for a test of two proportions, n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2) must all be greater than or equal to 5.
This is because the normal distribution assumes that the sample size is large enough to approximate the binomial distribution, and the rule of thumb is that each cell (n1 p1, n1 (1 - p1), n2 p2, and n2 (1 - p2)) should have at least 5 expected counts. If any of these cells have fewer than 5 expected counts, then the normal approximation is not reliable and a more appropriate test should be used. It is important to note that this is just a rule of thumb, and other factors such as the size of the effect and the desired level of significance should also be considered when deciding on a statistical test.
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A triangle has an angle of 30º, another angle of 50º and a third angle of 100º.
Select any words which accurately describe the triangle.
Obtuse-angled: This term refers to triangles with one angle greater than 90 degrees. The triangle in question has an angle of 100º, so it is obtuse-angled.
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 3.5 inches and a height of 4 inches. What is the minimum amount of plastic wrap needed to completely wrap 6 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
44.0 in2
63.2 in2
379.2 in2
505.5 in2
Answer:
(c) 379.2 in²
Step-by-step explanation:
You want to know the total surface area of 6 cylinders of diameter 3.5 inches and height 4 inches.
AreaThe area of a cylinder in terms of diameter and height can be found by ...
A = πd(d/2 +h)
The area of 6 cylinders with d=3.5 and h=4 is ...
6A = 6π(3.5 in)(3.5 in/2 +4 in) ≈ 379.2 in²
The minimum wrap needed is 379.2 square inches.
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Suppose x = 1, y = -1, and z = 1. What is the output of the following statement? (Please indent the statement correctly first.)
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
A. x > 0 and y > 0;
B. x < 0 and z > 0;
C. x < 0 and z < 0;
D. no output
Based on the evaluation of the conditions, the output "x < 0 and z > 0" will be printed. Therefore, the correct answer is B. x < 0 and z > 0.
The correct indentation of the statement would be as follows:
if (x > 0)
if (y > 0)
System.out.println("x > 0 and y > 0");
else if (z > 0)
System.out.println("x < 0 and z > 0");
Given that x = 1, y = -1, and z = 1, let's evaluate the conditions:
The first if statement checks if x > 0, which is true since x = 1.
Since the condition in the first if statement is true, we move to the inner if statement, which checks if y > 0. However, y = -1, so this condition is false.
The inner if statement is followed by an else if statement that checks if z > 0. Since z = 1, this condition is true.
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In ΔRST, r = 18 inches, s = 46 inches and ∠T=158°. Find ∠R, to the nearest degree.
Check the picture below.
let's firstly find side "t"
[tex]\textit{Law of Cosines}\\\\ c^2 = a^2+b^2-(2ab)\cos(C)\implies c = \sqrt{a^2+b^2-(2ab)\cos(C)} \\\\[-0.35em] ~\dotfill\\\\ t = \sqrt{18^2+46^2~-~2(18)(46)\cos(158^o)} \implies t = \sqrt{ 2440 - 1371168 \cos(158^o) } \\\\\\ t \approx \sqrt{ 2440 - (-1535.42) } \implies t \approx \sqrt{ 3975.42 } \implies t \approx 63.05 \\\\[-0.35em] ~\dotfill[/tex]
[tex]\textit{Law of Sines} \\\\ \cfrac{\sin(\measuredangle A)}{a}=\cfrac{\sin(\measuredangle B)}{b}=\cfrac{\sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\sin( R )}{18}\approx\cfrac{\sin( 158^o )}{63.05}\implies 63.05\sin(R)\approx18\sin(158^o) \\\\\\ \sin(R)\approx\cfrac{18\sin(158^o)}{63.05} \implies R\approx\sin^{-1}\left( ~~ \cfrac{18\sin( 158^o)}{63.05} ~~\right)\implies \boxed{R\approx 6.14^o}[/tex]
Make sure your calculator is in Degree mode.
