The measure of the angle BCD is 60 degrees.
What is the measure of angle BCD?Ok, remember that the sum of the interior angles of a triangle is always equal to 180°.
And we can write the top angle at C as:
(5x + 10) + C = 180°
C = 180 - 5x - 10
Then the sum of the interior angles gives:
3x + 3x + (180 - 5x - 10) = 180
Now we can solve that for x to get:
6x -5x - 10 = 180 - 180
x - 10 = 0
x = 10
Then the measure of BCD is:
BCD = 5x + 10
BCD = 5*10 + 10 = 60
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5
�
2
+
23
�
=
5x
2
+23x=
13
�
−
10
13x−10
Answer:
I'm sorry, but I am not sure what you are asking or what this series of numbers and symbols represents. Can you please provide more information or context for me to understand your question?
why would mars not put equal amounts of each color in every bag؟
As per the proportion the reason behind equal amounts of each color in every bag has the proportion less than the other colors.
The term called proportion is defined as an equation that defines that the two given ratios are equivalent to each other
Here we know that they may not put equal amount of colors because they put the 2 most popular colors in the bag.
Because of the the popular colors of bag were Blue and Orange. Here as per the proportion of other color bags are less than that of blue and orange.
This is the real reason behind the Mars put more amount in more popular colors and less amount in less popular colors.
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5 eggs were cracked. this was 1/6 of the total number of eggs in the flat.
A. how many eggs were in the flat?
B. what percent of the eggs in the flat were not cracked?
Answer:
A. To find out how many eggs were in the flat, you need to use the information that 5 eggs were cracked, which is 1/6 of the total number of eggs in the flat.
If 5 eggs is 1/6 of the total number of eggs in the flat, then you can set up an equation to find the total number of eggs:
5 eggs = (1/6) * x
Where x is the total number of eggs in the flat.
To solve for x, you can cross-multiply to get:
5 eggs * 6 = 1 * x
Which gives:
x = 30
So there were 30 eggs in the flat.
B. To find out what percent of the eggs in the flat were not cracked, you need to know how many eggs were not cracked and divide that number by the total number of eggs in the flat, and then multiply by 100 to get the percentage.
Since 5 eggs were cracked and there were 30 eggs in the flat, you can find the number of eggs that were not cracked by subtracting the number of cracked eggs from the total number of eggs:
30 eggs - 5 eggs = 25 eggs
So 25 eggs were not cracked.
To find the percentage, you can divide the number of eggs that were not cracked by the total number of eggs in the flat and multiply by 100:
(25 eggs / 30 eggs) * 100 = 83.33%
So, 83.33% of the eggs in the flat were not cracked.
Micah i preparing for a piano recital. He practice for 50 minute on Monday and 90 minute on web day. How did the amount of time that Micah pent practicing change from Monday to Wenday?
The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.
Determine the amount of time Micah spent practicing on Monday. This is 50 minutes.Determine the amount of time Micah spent practicing on Wednesday. This is 90 minutes.Subtract the time spent practicing on Monday from the time spent practicing on Wednesday. This is 90 minutes - 50 minutes = 40 minutes.The amount of time that Micah spent practicing changed from 50 minutes on Monday to 90 minutes on Wednesday, which is an increase of 40 minutes.Learn more about math calculation:
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Answer:80% trust bro
Step-by-step explanation:
Triangle ABC with points A(9,4) B(4,12) and C(-2,-4) has been transformed to create triangle A’B’C’ with points A’(-4,9) B’(-12,4) and C’(4,-2). What transformation has taken place?
A goat is placed in a circular pen with a radius of 15 feet. The formula for the area of a circle is A=πr2, where r is the radius. If π=3.14, on how many square feet of grass can the goat graze in the pen?
Answer:
765 [tex]ft^{2}[/tex]
Step-by-step explanation:
A = [tex]\pi r^{2}[/tex]
A = (3.24)[tex]15^{2}[/tex] [tex]15^{2}[/tex] means 15 x 15
A = (3.14(15)(15)
A = 765
the functions f and g are such that f(x)= x/(x+5) and g(x)=2x+1. Find fg(x)
Answer:
Evaluate g(f (x)) g ( f ( x)) by substituting in the value of f f into g g. Combine the opposite terms in (x− 2)+2 ( x - 2) + 2
Step-by-step explanation:
if that helps
Find the sides of all 4 questions
******* 20 points for each answer *****
Needed now
**Don’t mind the bonus 20**
Thank youand the work pls if not that’s ok
Answer:
see below
Step-by-step explanation:
1: 180-90-45 =45
2. 180-90-26 = 64
3. 180-90-60 =30
Answer:
Step-by-step explanation:
1) tan45 = x/10
x = 10(tan45) = 10
cos45 = 10/y
y = 10/(cos45) = 14.14
2) cos26 = 8/x
x = 8/cos26 = 8.9
3) sin60 = y/12
y = 12(sin60) = 10.4
cos60 = x/12
x = 12(cos60) = 6
4) Draw a line from top of triangle straight down and perpendicular to the 15 leg, label it z. This divides the 15 leg into 2 segments: y and (15-y).
cos89 = y/12
y = 12(cos89) = 0.21
sin89 = z/12
z = 12
15 - 0.21 = 14.79
Now you can solve for x:
x² = 14.79² + 12²
x = [tex]\sqrt{362.74}[/tex] = 19
Below, the graph of f(x) = √x +3 + 2 is sketched in bold. Its parent function f(x)=√x is represented
by the thin curve.
1) Describe the
translation of the parent
graph.
2) How does the translation relate to the equation?
The graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
What is graph?Graph is a type of data structure that consists of a set of nodes (also called vertices) and edges. Each node is connected to other nodes by edges. Graphs are used to represent networks of communication, data organization, computational devices, the flow of computation, etc. They are also very useful for visualizing relationships between data points in a variety of fields.
The translation of the parent graph of f(x)=√x+3+2 is a vertical shift upward 3 units, followed by a horizontal shift to the right 2 units. This is represented by the bold line in the graph. In terms of the equation, the translation is represented by the addition of the 3 and the 2 to the function. The 3 causes the graph to shift vertically upward and the 2 causes the graph to shift horizontally to the right. As a result, the graph of f(x)=√x+3+2 is shifted 3 units up and 2 units to the right from the parent graph of f(x)=√x.
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Joseph has a bag filled with 3 red, 3 green, 9 yellow, and 10 purple marbles. Determine P(not yellow) when choosing one marble from the bag. 8%
24%
36%
64%
The probability of not getting purple marble will be 64%. Then the correct option is A.
What is probability?
Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles.
The total number of marbles is given as,
Total marbles = 2 + 4 + 10 + 9
Total marbles = 25
Then the probability of not getting purple marble will be given as,
P = 1 - 9 / 25
P = 1 - 0.36
P = 0.64
P = 64%
Hence, The probability of not getting purple marble will be 64%. Then the correct option is A.
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The table provides various values, including select minimums and maximums, of a particular cosine function f (x).
Angle −π negative 2 times pi over 3 negative pi over 2 negative pi over 3 0 pi over 2 π
f (x) 4 5 over 2 1 negative 1 over 2 −2 1 4
What is the period of the function that contains these points?
The period of the function based on the information will be D. 2π.
How to calculate the periodThe period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle.
One cycle of the sine curve's length is referred to as its period. The period of the function is the minimum value of the dependent variable x after which the function will repeat itself.
f(x + k) = f(x).
-2sin(k + x) + 2 = 2sinx + 1
sin(k + x) = sin(2π + x)
k + x = 2π + x
k = 2π
The period is 2π.
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The table provides various values, including all minimums and maximums, of a cosine function f (x) on the interval [0, 2π].
Angle 0 pi over 6 pi over 2 5 pi over 6 3 times pi over 2 2π
f (x) 1 0 –1 0 3 1
What is the period of the function?
A) 2 times pi over 3
B) pi over 2
C) π
D) 2π
if a1 = 2 and an=an-1-4 then find the value of a4
The fourth term of the arithmetic sequence will be negative 10.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The first term (a₁) is 2. And the common difference is given as,
aₙ = aₙ₋₁ - 4
aₙ - aₙ₋₁ = - 4
d = - 4
The fourth term of the arithmetic sequence is given as,
a₄ = 2 + (4 - 1)(-4)
a₄ = 2 + 3 x (-4)
a₄ = 2 - 12
a₄ = - 10
The fourth term of the arithmetic sequence will be negative 10.
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a competing company claims 90% of its printers lasty at least 36 months and 65% last at least 42 montnhs. what normal model parameters does this use?
The competing company's claims suggest that they are using a Normal model with a mean of 39 months and a standard deviation of 6 months. This means that 90% of their printers last at least 36 months and 65% last at least 42 months.
This is because the Normal model is symmetrical, meaning that the same percentage of printers last more than the mean as less than the mean. Therefore, the parameters of the Normal model are mean = 39 months and standard deviation = 6 months.
Normal model parameters describe the distribution of a random variable that follows a normal or Gaussian distribution. The parameters of a normal model are the mean, which is the average value of the random variable, and the standard deviation, which is a measure of the spread of the distribution.
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Find the solution to the system of equations.
X + 4y- 5z = -6
X + 4y-4z=-2
X + 5y-4z= 1
O A. x = 2, y = 4, z = 5
O B. x = 2, y = 3, z= 4
O C. x = 5, y = 11, z = -12
O D. x= 5, y = 5, z= 3
Answer:
B
Step-by-step explanation:
First you are going to have to solve for one of the variables in the terms of the other two. The easiest one of these to start with is x.
If you take the first equation, x+4y-5z=-6 and solve for x you get
x=5z-4y-6
Now you can plug that into another equation and solve for another one of the variables. Lets use equation #2. Plugging in the definition of x into the equation you get;
(5z-4y-6)+4y-4z=-2
Simplify
z-6=-2
Conveniently, the y terms cancelled out. And therefore we know
z=4
(From there, we can determine that B is the right answer because it is the only one that gives z=4. I will walk you through the rest of the answer though)
Taking our new value of z, we can pug that value into our original x equation yielding;
x=20-4y-6
simplify
x=14-4y
Using this information, we can plug it into equation #3
(14-4y)+5y-16=1
simplify
y-2=1
solve
y=3
Now we just plug the new values of y and z into the first equation to get the value of x.
x+12-20=-6
simplify
x-8=-6
solve
x=2
Therefore;
x=2
y=3
z=4
Write the assembly instruction that fills register $10 with 0x10000000A. lui $10, 0x1000 B. lui $10, 0x10000000 C. ori $10, $0, 0x10000000 D. ori $10, $10, 0x1000
To fill register $10 with the value 0x10000000A, you would use the following two instructions:
A. lui $10, 0x1000
C. ori $10, $10, 0x10000000A
The lui (Load Upper Immediate) instruction sets the most significant 16 bits of the destination register to a specified 16-bit value. The ori (OR Immediate) instruction ORs the source register with an immediate value and stores the result in the destination register.
In this case, lui $10, 0x1000 sets the most significant 16 bits of $10 to 0x1000, and ori $10, $10, 0x10000000A ORs 0x10000000A with the contents of $10, filling $10 with the desired value of 0x10000000A.
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x y
1 6
4 15
6 21
Which rule describes the relationship between the x- and y-coordinates in the following table?
Answer:
415
Step-by-step explanation:
4.15 ×
[tex]4.15 \: \times {10}^{2} [/tex]
In which set are all the numbers solutions to the inequaltiy x < - 3?
Answer:
The solution fo the inequality x < -3 will be {-83, -6, -4, -3.5}. Then the correct option is C.
What is inequality?
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
x < -3
The value of the variable 'x' should be less than negative 3.
In option A, zero is greater than -3. So, option A is incorrect.
In option B, 1 is greater than -3. So, option B is incorrect.
In option D, -3 is equal to -3. So, option D is incorrect.
The arrangement of the imbalance x < - 3 will be {-83, - 6, - 4, - 3.5}. Then, at that point, the right choice is C.
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Step-by-step explanation:
Which of the graphs below represents a sketch of:
Answer:
C
the answer is C, the third graph
4(7a) multiply and find the answer
Answer:
[tex]28a[/tex]
Step-by-step explanation:
Usually, the parenthesis in an expression = a(bc) indicates multiplication.
Similarly, in 4(7a) we multiply -
4*7a = [tex]28a[/tex]
Hence the answer, study Hard
[PLEASE HELP FAST!! WILL GIVE BRAINLIEST]
Which of the following is an arithmetic sequence with a common difference of +3?
Answer: Option D
Step-by-step explanation: to find the common difference, you'll subtract:
From the sequence 4, 7, 10, 13, ...
d (common difference) = (7 - 4) or (10 - 7) or (13 - 10)
= 3
It is known that 13% of all golfers play on the weekends. We select 25 golfers and count the number of golfers who play in weekends. For this binomial problem, which of the following is true? The probability of each golfer playing on weekends changes from one golfer to another. A "failure" would be finding a golfer who plays on weekends. The random variable is the number of golfers who do not play on weekends. The value of p is 0.13.
Answer:
The value of o is 0.13.
Step-by-step explanation:
which is not one of the three v's of big data?
The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.
There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used
The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.
A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.
However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.
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Complete Question:
which is not one of the three v's of big data?
VibrantVitalVisibleVolumefind the value of z if z satisfies p( -z < z < z) = 0.7372.
The value of z that satisfies the condition p(-z < z < z) = 0.7372 is 0.8614.
Given: p(-z < z < z) = 0.7372
We are trying to find the value of z that satisfies the above condition.
The given condition p(-z < z < z) means that the value of z lies in the interval (-z, z) such that the probability of this interval is equal to 0.7372.
To find the value of z, we need to use the properties of normal distribution.
If X is a standard normal random variable, then the cumulative distribution function (CDF) of X, denoted by Φ(x), is given by:
Φ(x) = P(X ≤ x) = 1/√2π ∫-∞x e^-t^2/2dt
So, for the given condition, we have:
p(-z < z < z) = Φ(z) - Φ(-z) = 0.7372
We can use a standard normal table or a calculator with the cumulative normal distribution function to find the value of z that satisfies the above equation.
After using the cumulative normal distribution function, we find that z = 0.8614.
Therefore, the value of z that satisfies the condition p(-z < z < z) = 0.7372 is 0.8614.
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the ends of a water trough are 8 feet long are equilateral triangles whose sides are 2 feet long. if water is being pourd into the trough at a rate of 5 ft^3 / min, find the rate at which the water level is rising when the depth is 8 inches
If water is being poured into the trough at a rate of 5 ft^3/min, the rate at which the water level is rising when the depth is 8 inches is 15√3/32 ft/min.
Length (L) = 8 feet
Side = 2 feet
If water is being poured into the trough at a rate of 5 ft^3/min. So
dV/dt = 5 ft^3/min
The depth is 8 inches.
h = 8 inches = 2/3 feet
The formula of volume (V) = √3/4 b^2 · L
Now putting the value
V = √3/4 b^2 · 8
Simplify
V = 2√3b^2
Using the Pythagorean Theorem
b/h = 2/√3
So b = 2/√3 h
Now putting the value of h in the volume V
V = 2√3(2/√3 h)^2
V = 2√3 × 4/3 × h^2
V = 8/√3 × h^2
Differentiating the equation with respect to t
dV/dt = 8/√3 d/dt(h^2)
dV/dt = 8/√3 × 2h dh/dt
dV/dt = 16h/√3 × dh/dt
As dV/dt = 5. So
5 = 16h/√3 × dh/dt
Multiply by √3 on both side, we get
16h dh/dt = 5√3
Divide by 16h on both side, we get
dh/dt = 5√3/16h
As h = 2/3. So
dh/dt = 5√3/(16×2/3)
After solving
dh/dt = 15√3/32 ft/min
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A survey was conducted to gather ratings of the quality of service at local restaurants. Respondents rated on a scale of 0 (terrible) to 100 (excellent). The following stem plot represents the data: Find the median response. Find the mean response. What can be said about the shape of the distribution?
The data-set in this problem is given by the stem-and-leaf plot, which shows each observation in the problem.
Hence each observation is given as follows:
32, 34, 40, 43, 44, 47,48, 49, 49, 49, 50, 51, 51, 52, 53, 54, 55, 70, 71, 92
The data-set has 20 elements, which is an even cardinality, hence the median is the mean of the two middle elements, the 10th and the 11th, as follows:
Median = (50 + 51)/2 = 50.5.
The mean of the data-set is given by the sum of all observations divided by the number of observations, hence:
Mean = (32 + 34 + 40 + 43 + 44 + 47 + 48 + 3 x 49 + 50 + 2 x 51 + 52 + 53 + 54 + 55 + 70 + 71 + 92)/20
Mean = 51.7.
Missing InformationThe problem is given by the image presented at the end of the answer.
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The slope of the line which connect
points G(-3, -2) and H(x, 11) is
undefined. What is the value of x?
Answer:
-3
Step-by-step explanation:
A vertical line has undefined slope. These two points will be stacked one directly above (below) the other. The x will be the same in both points.
So the unknown in H(x,11) is -3
H (-3, 11)
Answer:
Below
Step-by-step explanation:
Vertical lines have slope = 'undefined'
so the 'x' values in the two points have to be the same (vertical line)
x = -3
As a side note: Horizontal lines have a slope = 0
Please Help! I Have Limited Time! A student is measuring the length of an icicle, y, every hour, x. The icicle is currently 9 inches long and is melting at a rate of 0.6 inches per hour. Find and interpret the slope for this relationship.
A. 9; the length of the icicle when the student first measures it
B. −9; the length of the icicle when the student first measures it
C. 0.6; for every additional hour, the length of the icicle increases by 0.6 inches
D. −0.6; for every additional hour, the length of the icicle decreases by 0.6 inches
Slope of relationship between length of icicle and time = −0.6;
for every additional hour, the length of the icicle decreases by 0.6 inches
The correct option is D.
What is slope?The slope of a line is defined as the change in vertical coordinate with respect to the change in horizontal coordinate of that line.
Given,
A student is measuring the length of an icicle, y, every hour, x
At present icicle is 9 inches long
melting at rate of 0.6 per hour
y = 9 - 0.6 x
Where y is the length of the icicle after x hours
comparing with slope intercept form of line: y = m x + c
slope m = -0.6
Hence, - 0.6 is the slope, represents that the length of the icicle decreases by 0.6 inches every hour.
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Is (x - 2) a factor of f(x) = x3 - 2x2 + 2x + 3? Explain your reasoning.
No, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ f (x) = x³ - 2x² + 2x + 3
And, The factor is (x - 2)
Now, If (x - 2) is factor of function then x = 2 satisfy the function.
Hence, We can check as,
⇒ f (x) = x³ - 2x² + 2x + 3
Put x = 2
⇒ f (2) = 2³ - 2 (2)² + 2 × 2 + 3
⇒ f (2) = 8 - 8 + 4 + 3
⇒ f (2) = 7 ≠ 0
Hence, (x - 2) is not a factor of f(x) = x³ - 2x² + 2x + 3.
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Help me please I need this problem answered
Step-by-step explanation:
-5/8 = v + 48/8
-53/8 = v
-6 5/8 = v
what is the finest grain property in statistics
The finest-grain property simply means that all possible distinguishable outcomes are identified separately in probability statistics.
The requirement that outcomes be mutually exclusive says that if one outcome occurs, then no other outcome also occurs.
An outcome is often called a finest grain result of the model in the sense that an outcome ω contains no subsets other than the empty set ϕ and the singleton subset {ω}. A sample space is a set of all the possible outcomes or sample points, denoted as Ω. An outcome ω is often called a finest grain result when even {ω} contains no proper subsets. The outcomes in the sample space are mutually exclusive and collectively constitute the entire sample space.
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