Answer:
119
Step-by-step explanation:
\(\mathrm{Supplementary\:angles\:add\:up\:to}\:180^{\circ }\)
\(\angle \:GKO \mathrm{\:is\:supplementary\:angle\:of\:} \angle \:KNL\)
\(\mathrm{So\:}\angle \:GKO+\angle \:KNL=180\)
\(\angle \:GKO+61=180\)
\(\angle \:GKO=119\)
At 6 a.m., a meteorologist records the temperature as −3.2°F . Seven hours later, the meteorologist records the temperature as 11.7°F.
Which expression represents the total temperature change, in degrees Fahrenheit, over the seven hours?
11.7+(−3.2)
−3.2+11.7
|11.7+(−3.2)|
|11.7−(−3.2)|
The correct expression in this case is |11.7−(−3.2)|.
Negative numbersGiven that at 6 am, a meteorologist records the temperature as −3.2°F, and seven hours later, the meteorologist records the temperature as 11.7°F, to determine which expression represents the total temperature change, in degrees Fahrenheit, over the seven hours, the following reasoning must be carried out:
A negative number is a value that is below 0, that is, the inverse of said negative number is required in positive values to equate to 0.So, -3.2 requires 3.2 to get to 0. If we add 11.7 to that, the total required values will be 14.9 (3.2 + 11.7).In turn, in mathematics, subtracting a negative number from a positive number implies adding that number (1 - (-1) = 2).Therefore, the correct expression in this case is |11.7−(−3.2)|.
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what is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time?
Using the concepts of probability, we got that 0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time
We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.
Here, we are rolling a 6-faced dice.
Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.
So, every number has equal probability to come on the top face, therefore the probability of getting 3 on the top face of dice is (1/6)
Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.
Now, picking one marble from 17 marble is can be done in \(^1^7C_1\) ways, similarly choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.
So, probability of picking 1 blue marble randomly=6/17
Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063
Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063
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What is the effect on the graph of y = 2x + 2
when it is changed to y = 2x-2?
Answer:
shifted down 4 units
Step-by-step explanation:
You want to know the effect on the graph of changing y=2x+2 to y=2x-2.
Y-interceptThe constant in the equation y=2x+2 is the y-intercept. The line described by this equation crosses the y-axis at y=2.
When the equation is changed to y=2x-2, the y-intercept changes from +2 to -2, a shift down of 4 units. The shifted line has the same slope as the original, so is parallel to it.
The effect on the graph is to move it down 4 units.
is my answer right or do i need to change it
Answer:
It’s right!
Step-by-step explanation:
A mixture of green frosting contains 12 drops of yellow food coloring and 8 drops of blue food coloring. If you want to make the same shade of green frosting using 48 drops of yellow food coloring, how much blue food coloring would you need?
Answer:
32 drops of blue food coloring is needed
Step-by-step explanation:
If :
12 drops of yellow food coloring = 8 drops of blue food coloring.
48 drops of yellow food coloring = x
Cross Multiply
12 drops × x = 48 drops × 8 drops
x = 48 drops × 8 drops/12 drops
x = 32 drops of blue food coloring.
If you want to make the same shade of green frosting using 48 drops of yellow food coloring, you would be needing 32 drops of blue food coloring
HELP THIS IS DUE TODAY!
Answer:
x = 42
Step-by-step explanation:
\( \frac{2}{4} x - 3 = 4 + \frac{1}{3} x \\ \\ \implies \: \frac{1}{2} x - \frac{1}{3} x = 4 + 3 \\ \\ \implies \: \frac{3 - 2}{6} x = 7 \\ \\ \implies \: \frac{1}{6} x = 7 \\ \\ \implies \: x = 7 \times 6 \\ \\ \implies \: x = 42\)
I really don't get this question :/
Answer:
i dont get this why is it crossed out
Step-by-step explanation:
Which one would it be?
-2,1
-2,-2
-2,-1
2,2
Answer:
(-2,-2)
Step-by-step explanation:
Which values represent the independent variable? (–2, 4), (3, –2), (1, 0), (5, 5) A. {–2, 3, 1, 5} B. {4, –2, 0, 5} C. {–2, 4, 3, –2} D. {–2, –1, 0, 5} Please select the best answer from the choices provided A B C D
Answer:
The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.
So, the answer would be option A: {-2, 3, 1, 5}
Step-by-step explanation:
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What is the slope of this line?
A. 3
B. -1/3
C. -3
D. -2
E. 4
Answer:
-3
Step-by-step explanation:
Pick two points on the graph, lets go with (0, 4) and (1, 1)
y = mx + b
m is the slope and to figure it out use below formula
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (1 - 0)
= -3 / 1
= -3
Answer:
C. -3
Explanation:
Given problem;
To solve for the slope of the line;
The slope of a line is the vertical distance to the horizontal displacement on a line.
Slope = \(\frac{Vertical distance}{horizontal displacement}\)
For lines such as this, we use the formula below;
Slope = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
To find the slope reference the image attached;
point 1 (0,4) x₁ = 0 y₁ = 4
point 2 (2,-2) x₂ = 2 y₂ = -2
Now input the parameters and solve;
Slope = \(\frac{-2 - 4}{2 - (0)}\) = \(\frac{-6}{2}\)
Slope = -3
The slope of the line is -3
If A and B are ANY two sets with ACB, determine the truth-values of the following statements. If a statement is false, give specific examples of sets A and B that serve as a counter-example (3 pts each). a. If (B\A) = Ø, then ACB b. If Ac B, then (B\A) Ø
If A and B are ANY two sets with ACB,
a. The statement is false.
b. The statement is false.
This statement is true. If the set difference (B\A) is empty, it means that every element in B is also in A. In other words, A is a subset of B (A ⊆ B).
Counter-example:
Let A = {1, 2} and B = {1, 2, 3}. In this case, (B\A) = {3}, which is not empty. Therefore, the statement is false.
b. If Aᶜ ⊆ B, then (B\A) = Ø.
This statement is false. If the complement of A, Aᶜ, is a subset of B, it does not necessarily imply that (B\A) is empty.
Counter-example:
Let A = {1, 2} and B = {1, 2, 3}. In this case, Aᶜ = {3}, which is a subset of B. However, (B\A) = {3}, which is not empty. Therefore, the statement is false.
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a confidence interval for a population mean a. estimates the population range b. estimates a likely interval for a population mean c. estimates a likelihood or probability d. estimates
Calls to the Help Desk: The phone call to a computer software helpdesk occure at the rate of 2.1 per minute between 3.00p.m. and 4:00p.m. Compute the probability that the number of calls to the help desk between 3:10 p.m. and 3:15 p.m. (a) exactly eight. Interpret the result. (6) fewer than eight. Interpret the result. ( at least eight. Interpret the result. You Explain It! Height of 10-Year-Old Males The heights of 10-year-old males are normally distributed with mean = 55.9 inches and o = 5.7 inches. (a) Draw a normal curve with the parameters labeled. (6) Shade the region that represents the proportion of 10-year-old males who are less than 46.5 inches tall. (C) Suppose that the area under the normal curve to the left of x = 46.5 is 0.0496. Provide two interpretations of this result
The probabilities for exact 8 and less than 8 calls can be obtained as 0.1009 and 0.1785 respectively.
What is Poisson distribution?Poisson distribution is applied for the case where the events occur in a specific period of time with constant rate.
The given case belongs to Poisson distribution,
It can be solved as follows,
(a) The probability of exactly 8 calls can be obtained as,
P(Exact 8 calls) = \(e^{-\lambda} \lambda^{x}/x!\)
Where x = 8 and λ = 2.1 × 5 = 10.5.
Then, the probability is obtained as,
⇒ e⁻⁸ × 10.5⁸/8!
⇒ 0.1009
It implies that if 100 calls are selected randomly for the interval of 5 minute, 10 calls can be expected.
(b) The probability of less than 8 calls can be obtained as
P(Less than 8) = \(\sum_{x =1}^{7}e^{-\lambda}\lambda^{x}/ x!\)
⇒ P(Less than 8) = 0.1785
It implies that out of 100 randomly selected 5 minute calls, around 18 have less than 8 calls.
Hence, the required probabilities for the given case are 0.1009 and 0.1785 respectively.
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Here is a linear equation in two variables: 2x + 4y - 31 = 123.
Solve the equation, first for x and then for y.
Answer:
x = -2y+77
y = -x/2+77/2
Step-by-step explanation:
The equation for x variable is x = 77 - 2y and for y variable it is; y = 77- x/2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
WE have been given linear equation in two variables: 2x + 4y - 31 = 123.
Solve for x and for y
2x + 4y - 31 = 123.
Add 31 to both sides
2x + 4y - 31 + 31 = 123 + 31
2x + 4y = 154
Solving for x then Subtract 4y from both sides
2x + 4y -4y = 154 - 4y
2x = 154 - 4y
Divide by 2
x = 77 - 2y
y = 77- x/2
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A line that models the data is given by the equation y= 1.62x 18 , where y represents the wait time, and x represents the number of staff available. the slope of the line is -1.62. what does this mean in this situation?
The slope of the line represents the rate of change between the independent variable (number of available staff) and the dependent variable (number of available staff) (wait time).
The slope of the line in this case is -1.62, which means that for every one unit increase in the number of staff available, the wait time decreases by 1.62 units.
In this case, a negative slope indicates that as the number of staff available increases, so does the wait time, indicating a positive relationship between the two variables. In other words, as the number of employees available increases, the wait time decreases.
It is important to remember that the equation models this relationship, and that actual wait times in the real world may not always follow this exact relationship due to other factors that influence wait times.
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What is the degree form for 3n/4 radians?
Answer:
\(135^\circ\)
Step-by-step explanation:
To convert radians to degrees, use the formula \(x^\circ=r\frac{180}{\pi}\) where \(r\) is the number of radians:
\(x^\circ=r\frac{180}{\pi}\)
\(x^\circ=(\frac{3\pi}{4})(\frac{180}{\pi})\)
\(x^\circ=\frac{540}{4}\)
\(x^\circ=135\)
Therefore, \(\frac{3\pi}{4}\) radians is \(135^\circ\)
whats the answer for that qustion
Answer to Whats the answer for that question?:
A correct response to a question asked to test one's knowledge.
Step-by-step explanation:
The way you answer a question depends on how you view it. This could entail thought process, method, and calculations. So overall it depends on perspective.
What is a good way for a student to get into study mode?
A.
Always study with a group of friends.
B.
Vary your study patterns to stop boredom.
C.
Always study the same topics.
D.
Always study in the same place. PLS HURRY
Answer:
its B i think
Step-by-step explanation:
what is the greatest number of of acute angles that a triangle can contain?
Answer:
3
Step-by-step explanation:
This coordinate plane represents an area on a golf course. A sand hazard is located at (4, 6) and a water hazard is located at (7, 2).
Plot a point at each of the two locations. Plot only two points.
Answer:
See attached
Step-by-step explanation:
You want a graph with points plotted at (4, 6) and (7, 2), representing a sand trap and a water hazard, respectively.
CoordinatesThe ordered pair (4, 6) represents the coordinates (x, y). The x-coordinate is the number of units right of the point x=0, and the y-coordinate is the number of units up from y=0.
Both points have positive coordinates for both x and y, so will be located up and right from the origin. The plot is shown in the attachment.
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Select all the correct answers.
Which figures have rotational symmetry?
The figures that have rotational symmetry are:
Option D: Hexagon
Option E: Cross
How too Identify the Object with rotational symmetry?Rotational symmetry, is also known as radial symmetry is defined as the property a shape has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.
Hexagon: The six sides of the hexagon are congruent, as they are all equal and this tells us that no mater the rotation it will always be the same.
The Cross: The four corners of the cross are equal and this tells us that no matter the rotation it will always be the same.
All the other figures have sides that are NOT congruent as they have different side lengths
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Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd
Answer:
\(A = 66\ yd^2\)
Step-by-step explanation:
You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:
\(A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66\)
Answer:
The surface area of the rectangular prism is \(66\ yd^2\)
Step-by-step explanation:
Step 1: Find the area of the front and back
\(A = l * w\)
\(A = 3\ yd * 4\ yd\)
\(A = 12\ yd^2 * 2\)
\(A = 24\ yd^2\)
Step 2: Find the area of the top and bottom
\(A = l * w\)
\(A = 3\ yd * 3\ yd\)
\(A = 9\ yd^2 * 2\)
\(A = 18\ yd^2\)
Step 3: Find the area of the left and right sides
\(A = l * w\)
\(A = 3\ yd * 4\ yd\)
\(A = 12\ yd^2 * 2\)
\(A = 24\ yd^2\)
Step 4: Total area
\(A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2\)
\(A_{total}= 66\ yd^2\)
Answer: The surface area of the rectangular prism is \(66\ yd^2\)
How can you apply the distributive property to factor out the greatest common factor for 20 - 4k?
Answer:
4(5-k)
Step-by-step explanation:
Pull out 4 from each number
At a school fair, students were challenged to hit one of the small congruent circles on the large rectangular board with a ball. Find the probability of hitting any small circle. Type answer as a percent. *
Answer:
The probability of a student to hit any small circle is 4.66 %.
Step-by-step explanation:
In order to determine the probability of the students to hit the small circles, we need to calculate the are of the rectangle and the area of each circle. These are shown below:
area circle = pi*r² = pi*(3)² = 28.26 in²
area rectangle = 35*52 = 1820 in²
Since there are three circles and the students can hit any of those the probablity of hitting them is given by the area of one circle multiplied by 3 and divided by the area of the rectangle.
p = [(3*area circle)/(area rectangle)]*100%
p = [(3*28.26)/1820]*100 = 4.66 %
Halp.
What is the ratio of the sides from the big to the small rectangle?
Answer:
2:1
Step-by-step explanation:
We know
To get from F to G, we have to go from -2 to 2, for which the length is 4.
To get from F' to G', we have to go from -2 to 0, for which the length is 2.
What is the ratio of the sides from the big to the small rectangle?
The ratio is 4:2 = 2:1
Solve the following system of linear equations using substitution
Answer:
(3,7)
Step-by-step explanation:
let me know if you need an explanation, but hope this helps :)
) for every prime number p give an example of a non-separable extension of a suitable field of characteristic p.
Since L/K is not separable, it is a non-separable extension of K. Therefore, for every prime number p, the extension L/K where L is the splitting field of x^p - a for some a in K is an example of a non-separable extension of a suitable field of characteristic p.
To give an example of a non-separable extension of a suitable field of characteristic p for every prime number p, we need to first understand what a separable extension is. A separable extension of a field K is an extension L/K such that every element of L is a root of a separable polynomial over K. In other words, if an irreducible polynomial over K has multiple roots in L, then the extension L/K is not separable.
Now, let's consider the case of a field of characteristic p. If K is a field of characteristic p, then every element of K satisfies the equation x^p = x. This is known as the Frobenius map, and it has the property that it is an automorphism of K.
So, if we consider the extension L/K where L is the splitting field of the polynomial x^p - a for some a in K, then L/K is not separable. This is because the polynomial x^p - a has p roots in L, namely {a^(1/p), a^(1/p) * ζ, a^(1/p) * ζ^2, ..., a^(1/p) * ζ^(p-1)}, where ζ is a primitive p-th root of unity.
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A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm
(a) write an expression, in terms of x, for the volume of the cuboid
(b) the volume of the cuboid is 750cm³.
(i) form an equation in terms of x to represent this information
(ii) solve the equation in (i)
(iii) hence or otherwise calculate the height of the cuboid.
Step-by-step explanation:
Hi there!
From above question;
A cuboid has a length of 25cm, a width of 5cm and height of (x-2)cm.
Length (l) = 25cm
width (b) = 5cm
height (h) = (x-2)cm.
a).
Volume= l*b*h
V = 25*5*(x-2)
V = 125(x-2)
V = 125x - 250 → Answer
b).
(i)
V = 750cm³
V = 125x - 250
750 = 125x - 250..........(i)
(ii)
The equation (i) is: 750 = 125x - 250
or, 125x = 750+250
or, 125x = 1000
or, X = 1000/125
Therefore, X= 8cm.
(iii)
Height (h) = x-2
= 8-2
= 6
Therefore, height is 6cm.
Hope it helps!
How do I find the area for this?
Answer: when u doing area know you are multiplying hope i help
Step-by-step explanation:
juan needs to make a total of 40 deliveries this week. so far he has completed 18 of them. what percentage of his total delivery has juan completed
Answer:
45.00%
Step-by-step explanation:
The total answers count 40 - it's 100%, so we to get a 1% value, divide 40 by 100 to get 0.40. Next, calculate the percentage of 18: divide 18 by 1% value (0.40), and you get 45.00% - it's your percentage grade.
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