To find the reference angle for 0=11pi/6, we need to first understand what a reference angle is. A reference angle is an acute angle formed between the terminal side of an angle in standard position and the x-axis.
In this case, the angle 0=11pi/6 is not in the standard position because it does not start from the positive x-axis and rotates counterclockwise. To find an equivalent angle in the standard position, we can subtract 2pi (or 12pi/6) from the original angle until we get an angle between 0 and 2pi.
11pi/6 - 2pi = 5pi/6
Now, we have an equivalent angle in the standard position. To find the reference angle, we subtract this angle from pi/2 (or 90 degrees).
pi/2 - 5pi/6 = pi/6
Therefore, the reference angle for 0=11pi/6 is pi/6 or 30 degrees.
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In ΔGHI, the measure of ∠I=90°, HI = 5.6 feet, and IG = 2.8 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer: I would say it would be 70
Step-by-step explanation:
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given.
Part A: How many 2/3 foot pieces can Wendy cut from the 5 and 1/3 feet of ribbon? Show your work. (5 points)
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
Essay Submission
Part A: 5 1:3 = 53=15+1=16:3 16:3 / 2:3=16:33:2=48:6 6/48=8(6*8=48)
Part B: Thats How I got my quotient by dividing 48 and 6
I think this if what you are looking for.
hope it helps.
can you explain
Step-by-step explanation:
What are the coordinates of point A?
Answer:
the left side should be -5 the other side should be 7
Answer:
(7, -5)
Step-by-step explanation:
Clare has $5,003 in a savings account that earns 8% interest, compounded annually.
To the nearest cent, how much interest will she earn in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer: Clare earned $6806.53.
Step-by-step explanation:
The formula given to us is the formula for compounded interest.
You can substitute the values given in the first part of the problem into the equation to find B, the final amount:
\(B = p*(1+r)^t\\\\B = 5003 * (1 + 0.08)^4\)
Note that 8% interest is expressed as 0.08 because it is a percentage of a whole number.
Now, use a calculator to raise 1.08 to the fourth degree to get this:
\(B = 5003 * 1.360488\\B = 6806.526\)
As such, Clare earned $6806.53 in interest after 4 years.
Which graph shows the solution to the system of linear inequalities?
x – 4y < 4
y < x + 1
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.
Answer:
A
Step-by-step explanation:
I’m pretty sure this is the right answer
Answer:
1
Step-by-step explanation:
I’ll give brainliest pls help
Answer:
The slopes of WX and XZ
Step-by-step explanation:
The singular factor that determines if the parallelogram is a rectangle are the angles at the edges
Mathematically, we can only have a rectangle if there are four right angles with one right angle each at the edges of the rectangle
So, by having the slope of the sides forming the width and that which forms the length, we can deduce if what we have is rectangle given that the slopes will yield a perpendicular product
Hence, the slopes of WX and XZ can be calculated to show this
How are parallelogram and a trapzoid different
The key distinction between a parallelogram and a trapezoid lies in their side properties and the number of parallel sides they possess.
A parallelogram and a trapezoid are different geometric shapes with distinct properties and characteristics.
1. Shape: A parallelogram is a quadrilateral with opposite sides that are parallel. It has four sides and four angles, with opposite angles being equal. The opposite sides of a parallelogram are also congruent. In contrast, a trapezoid is a quadrilateral with only one pair of parallel sides. The other two sides are non-parallel.
2. Angles: In a parallelogram, the opposite angles are equal. The sum of the interior angles of a parallelogram is always 360 degrees. In a trapezoid, the angles can vary, and the sum of the interior angles is always 360 degrees as well.
3. Sides: In a parallelogram, the opposite sides are equal in length. In a trapezoid, the parallel sides are not necessarily congruent.
4. Diagonals: The diagonals of a parallelogram bisect each other, meaning they divide each other into two equal parts. In a trapezoid, the diagonals do not bisect each other.
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When graphing the solution of an inequality on a number line, you will see either an open or closed circle and a part of the line shaded.
Part A:
Describe what an open circle represents and when you would use it.
Part B:
Describe what a closed circle represents and when you would use it.
Part C:
Describe what the shading on the number line represents.
Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.
Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.
Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.
Part A:
For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.
Part B:
For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.
Part C:
For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.
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a. What are the coordinates of the reflected point?
b. Reflect the coordinate points from 3(a) over the y-axis
What are the coordinates of the reflected point?
Answer: Part A is (-9, 13) Part B is (9, 13)
Step-by-step explanation:
In the triangle below, with right angle
Find the degree measure of each angle in the triangle.
Answer:
90°, 62.8° and 27.2°
Step-by-step explanation:
180 = 5x + 133
47 = 5x
9.4= x
2 * 9.4 + 44 = 62.8°
3 * 9.4 - 1 = 27.2°
in a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that group of answer choices the estimated mean of y is 2 when x1 equals zero. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant. the relationship between x1 and y is significant. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, without regard to x2.
In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that B. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant
What is a multiple regression?Multiple regression is a statistical technique for examining the relationship between a single dependent variable and a number of independent variables. The goal of multiple regression analysis is to use known independent variables to predict the value of a single dependent variable.
Multiple regression predicts the value of one dependent variable by taking into account the values of the available multiple independent variables. For example, suppose a researcher decides to study the performance of students at a school over time.
In this case, the correct option is B.
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Annie says 1.2 is equivalent to 1 whole and 2 tenths. Dexter says 1.2 is equivalent to 12 tenths. Who is corrected?
Answer:
Both of them are correct
Step-by-step explanation:
1.2 as 1 whole and 2 tenths
= 1 + 2/10
= 1 + 0.2
= 1.2
Also, 12 tenths
= 12/10
= 1.2
Hence Annie and Dexter are right with their answers.
In the number 15.2201, how does the value of the 2 in the tenths place compare to the value of the 2 in the hundredths place?
The value of the 2 in the hundredths place is 1100 the value of the 2 in the tenths place.
The value of the 2 in the hundredths place is 110 the value of the 2 in the tenths place.
The value of the 2 in the hundredths place is 10 times the value of the 2 in the tenths place.
The value of the 2 in the hundredths place is 100 times the value of the 2 in the tenths place.
The value of 2 in the tenths place is ten times the value of the 2 in the hundredths place.
What is the ratio?
It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The value of 2 in the tenths place = 0.2
The value of 2 in the hundredths place = 0.02
Taking ratio:
0.2/0.02 = 10
Thus, the value of 2 in the tenths place is ten times the value of the 2 in the hundredths place.
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In a right triangle, one acute angle is 22 degrees less than 3 times the other acute angle. What is the measure of the larger acute angle
The measure of the acute angles are 62° and 28° .
What is the larger acute angle in a right triangle?The Triangle Angle Sum Theorem states that the sum of all interior angles in a triangle is . Additionally, the Right Triangle Acute Angle Theorem states that the two non-right angles in a right triangle are acute; that is to say, the right angle is always the largest angle in a right triangle.Let x represent the measure of one of the acute angles of the right angle triangle.
Let y represent the measure of the other acute angle of the right angle triangle.
One of the acute angles in a right triangle measures 22 degrees less than 3 times the other acute angle. This means that
x = 3y - 22
The sum of two acute angles in a right triangle is 90 degrees.
We write as
x + y = 90 - - - - - - - (1)
Substituting x = 3y - 22 into equation 1, it becomes
3y - 22 + y = 90
4y = 90 + 22= 112
y = 112/4 = 28
x = 90 - y = 90 - 28
x = 62
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Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest
Answer:
A positive number.
Any negative subtracted from a positive will always be positive.
Answer:
a-b will be and will always be a POSITIVE number.
This is because a is positive, and b is negative.
However, when you subtract a negative number, you are actually just adding it.
So, a - (-b) = a+b.
This is why, it will always be positive.
Let me know if this helps!
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The solution to the equation -2.5(4x - 4) = -6 is x = 1.6
How to apply the Distributive Property?From the question, we have the following parameters that can be used in our computation:
-2.5(4x - 4) = -6
Open the bracket using the Distributive Property
So, we have the following representation
-10x + 10 = -6
Subtract 10 from both sides of the equation
-10x = -16
Divide both sides by -10
x = 1.6
Hence, the solution is x = 1.6
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if you draw a card with a value of five or less from a standard deck of cards i will pay you 57 if not you pay me 48. what is the expected value of the bet write your answers out to two decimal places
The expected value of the bet is -15.693
According to the question we have been given that
If we draw a card with value 5 or less, we will be payed = 57
If failed to draws cards, we have to pay = 48
Now first we will find the probability of drawing cards with value less than or equal to 5.
Cards with value less than five are : 2,3,4,5
Total number of cards will be 16.
Probability = 16/52
Also number of cards with values greater than five is 36
Probability = 36/52
Thus the expected value of the bet will be
= 57*(16/52) + (-48)*(36/52) [ negative sign as we have to pay if we loose to draw the required card]
= 17.538 - 33.231
= -15.693
Hence the expected value is -15.693
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The area of a triangle is 36 4 5 units squared and the height of the triangle is 9 1 5 units. What is the length of the triangle's base?
Answer:
I think it should be somewhere around 3528.3
Step-by-step explanation:
this is because 3645 squared minus 915 squared is 12448800 and the square root of that is 3528.3 I could be wrong though but just trying to help
20.
Write a set of 2
rational numbers that
greater than -1 and
less than 0.
Answer:
-1/3 and -1/2
Step-by-step explanation:
as a rational number is of the form p/q where q is not equal to zero
can somone help crack the code who ever gets it right gets brainliest
Answer:
Step-by-step explanation:
you can use the y=mx + b equation where m is slope and b is y-intercept
1 and H because the y-intercept is -4 and slope 1/4
2 and A because the y-intercept is -4 and slope 4
3 and E because the y-intercept is 3 and slope - 2
4 and C because the y-intercept is 1 and slope 2
:
Ethan needs to add together two whole numbers
and wants to estimate the answer first.
He rounds both numbers to 1 significant figure,
which gives him 300 and 600, and adds them
together to get an estimate of 900.
What is the greatest possible difference
between his estimate and the true answer to the
addition?
The required greatest difference between the estimate and the true value is 45.
Given that,
Ethan needs to add together two whole numbers and wants to estimate the answer first. He rounds both numbers to 1 significant figure, which gives him 300 and 600 and adds them together to get an estimate of 900.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
For the estimated number 900, the least number that can be rounded to the number 900 is 855,
Now,
Difference = 900 - 855 = 45
Thus, the required greatest difference between the estimate and the true value is 45.
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Find x
1. 103 degrees
2. 31 degrees
3. 52 degrees
4. 45 degrees
It is 45° because the sum of all the angles of a triangle is 180° so
\(75° +60° +x = 180° \\ x =180° - 75° -60° \\ x = 45°\)
What are the features of the function f(x) = =-2 log2 (x - 2) graphed below?
Functions can be represented using equations and graphs
The features of \(f(x) = =-2\log_2 (x - 2)\) are
x-intercept of 0 and no y-interceptVertical asymptote of x = 2 and no horizontal asymptoteHow to determine the features of the graphThe equation of the graph is given as:
\(f(x) = =-2\log_2 (x - 2)\)
The above equation is a logarithmic function with the following features derived from its graph
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The GCM of 16 and 24 is
Answer: I believe the answer is 8 although I might be wrong. The reason why is because both of the numbers have 8 when you break down their multiples and its the greatest value.
Step-by-step explanation:
16: 1,16 2,(8) 4,4
24: 1,24 2,12 3,(8) 4,6
Let L: R² R² be a linear operator. If L((1,2)) = (-2,3), and L((1,-1)²) =(5,2),+ Find the value of L((7,8)¹) 799
L((7,8)) = (-9,23). To find the value of L((7,8)), we can use the linearity property of the linear operator L.
Since L is a linear operator, we can express any vector in R² as a linear combination of the basis vectors (1,0) and (0,1).
We have L((1,2)) = (-2,3) and L((1,-1)) = (5,2). Therefore, we can express (7,8) as (7,8) = 7(1,2) + 1(1,-1).
Using the linearity property, we can distribute the linear operator L over the linear combination:
L((7,8)) = L(7(1,2) + 1(1,-1))
= 7L((1,2)) + L((1,-1))
= 7(-2,3) + (5,2)
= (-14,21) + (5,2)
= (-9,23)
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An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90.7 inches per minute, what is the diameter in inches, of the circular path?
Answer:
try 90 decided by 8 maybe that'll help
Plankton are classified based on their size. There are different types of plankton, such as megaplankton, mesoplankton, and femtoplankton. Femtoplankton can be as small as 2 × 10-8 meter. Mesoplankton can be up to 1 × 106 times bigger than femtoplankton. Megaplankton, such as jellyfish, can have a diameter 1 × 108 times the size of the smallest femtoplankton.
question 2
part a:
Write an expression to find size of the largest jellyfish. Represent the expression in meters as a product of two numbers in scientific notation.
part b:
Apply the Commutative and Associative Properties of multiplication to the expression you found in part A.
Part c:
Now that the first factors are grouped and the powers of 10s are grouped, multiply the first factors in the expression from part B. Then multiply the powers of 10 by using the properties of exponents.
part d:
Make sure the expression that you found in part C is in scientific notation. Using scientific notation, represent the size of the largest jellyfish in meters. If the exponent is 0, you can leave out the term containing the power of 10.
Answer:
Part A:
A jellyfish can be up to 1 × 10^8 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 10^8 times.
The size of a femtoplankton is 2 × 10^-8 meter. That means the expression for the size of the largest jellyfish 1 × 10^8 • 2 × 10^-8 meters.
Part B:
The expression from part A is 1 × 10^8 • 2 × 10^-8.
Apply the Commutative and Associative Properties of multiplication to get
1 × 10^8 • 2 × 10^-8
= 1 • 10^8 • 2 • 10^-8 (using the Associative Property)
= 1 • 2 • 10^8 • 10^-8 (using the Commutative Property)
= (1 • 2) • (10^8 • 10^-8) (using the Associative Property)
Part C:
The expression from part B is (1 • 2) • (10^8 • 10^-8).
Multiply the first factors.
1 • 2 = 2
Multiply the powers of 10 using the properties of exponents, a^n a^m = a^n + ^m.
10^8 • 10^-8 = 10^8 + (^-8) = 100
The expression is 2 × 10^0.
Part D:
The expression from part C is 2 × 10^0.
Because 10^0 = 1, leave out the power of 10.
The size of the largest jellyfish is 2 meters.
Answer:
Part A
A jellyfish can be up to 1 × 10^8 times bigger than femtoplankton. Find the size of the largest jellyfish by multiplying the size of a femtoplankton by 1 × 10^8 times.
The size of a femtoplankton is 2 × 10^-8 meter. That means the expression for the size of the largest jellyfish 1 × 10^8 • 2 × 10^-8 meters.
Step-by-step explanation:
Sample Answer from Edmentum,
the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model. t or f
True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.
what is slope in statistics?The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.
Briefing:Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.
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How many one-quarter cup servings are in 9 cups of pecans?
For problems 28−30, you are given descriptions of two lines. Find the slopes of Line 1 and Line 2 . Is each pair of lines parallel, perpendicular or neither? 28. Line 1: Passes through (2,3) and (4,−1) Line 2: Passes through (6,3) and (8,5) 29. Line 1: Passes through (1,7) and (5,5) Line 2: Passes through (−1,−3) and (1,1) 30. Line 1: Passes through (0,5) and (3,3) Line 2: Passes through (1,−5) and (3,−2) 31. Write an equation for a line parallel to f(x)=−5x−3 and passing through the point (2,−12). 32. Write an equation for a line parallel to g(x)=3x−1 and passing through the point (4,9). 33. Start with the point slope formula y−y 1 =m(x−x 1 ) and divide both sides of the equation by the quantity (x−x 1 ). Does the result look familiar?
The slopes of Line 1 and Line 2 are -1 and 1 respectively. They are neither parallel nor perpendicular.
The slopes of Line 1 and Line 2 are -1/2 and 2 respectively. They are neither parallel nor perpendicular.
28. For Line 1, the slope is (-1 - 3) / (4 - 2) = -2/2 = -1. For Line 2, the slope is (5 - 3) / (8 - 6) = 2/2 = 1. The slopes are neither parallel nor perpendicular.
For Line 1, the slope is (5 - 7) / (5 - 1) = -2/4 = -1/2. For Line 2, the slope is (1 - (-3)) / (1 - (-1)) = 4/2 = 2. The slopes are neither parallel nor perpendicular.
For Line 1, the slope is (3 - 5) / (3 - 0) = -2/3. For Line 2, the slope is (-2 - (-5)) / (3 - 1) = 3/2. The slopes are neither parallel nor perpendicular.
A line parallel to f(x) = -5x - 3 will have the same slope of -5. Using the point-slope form, the equation is y - (-12) = -5(x - 2), which simplifies to y = -5x + 2.
A line parallel to g(x) = 3x - 1 will have the same slope of 3. Using the point-slope form, the equation is y - 9 = 3(x - 4), which simplifies to y = 3x - 3.
Dividing both sides of the point-slope formula y - y1 = m(x - x1) by (x - x1) results in the familiar slope-intercept form of the equation y = mx + b, where m is the slope and b is the y-intercept.
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To find the slopes and relationship between two lines, use the formula m = (y2 - y1) / (x2 - x1) and compare the slopes.
Explanation:To find the slopes of Line 1 and Line 2, we can use the formula:
m = (y2 - y1) / (x2 - x1)
For problem 28, substituting the given coordinates into the formula for Line 1, we find that the slope is -2/3. Similarly, for Line 2, the slope is 1/2. Since the slopes are not equal, the lines are neither parallel nor perpendicular.
Repeat this process for problems 29 and 30 to determine the slopes and the relationship between the lines.
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