Answer:
B
Step-by-step explanation:
angle 1: 50°
angle 2: 65°
All 3 sides of a triangle must add up to 180°
We can create an equation given this information to solve for the third angle, let's call it x
50 + 65 + x = 180
115 + x = 180
-115 -115
x = 65° or B
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60 is 15% of what number?
Answer:
400 is the number
Step-by-step explanation:
Is means equals and of means multiply
60 = 15% * W
Change to decimal form
60 = .15W
Divide by .15
60/.15 = .15W/.15
400= W
Alma has a bag with 26 tiles, each with a different letter of the alphabet. She randomly chooses a tile and places it on a table. She then randomly draws another tile and places it to the right of the first tile, and then repeats this one more time. What is the probability that this results in the word "dot"?
Answer:
There are 26 tiles in the bag.
To spell the word DOT, we have to select 3 tiles from the bag.
This can be done in
26C3 ways.
Out of this, the word DOT can be correctly spelled in only 1 way.
Hence, the Prob.
=1 / 26C3
one degree of latitude is equal to how many minutes
Answer:
60 minutes
Step-by-step explanation:
Latitude and longitude are measuring lines used for locating places on the surface of the Earth. They are angular measurements, expressed as degrees of a circle. A full circle contains 360°. Each degree can be divided into 60 minutes, and each minute is divided into 60 seconds.
One degree of latitude is equal to approximately 60 nautical miles or 69 statute miles. Since a minute of latitude is one-sixtieth of a degree, it follows that one degree of latitude is equal to 60 minutes.
This means that there are 60 nautical miles or 69 statute miles between two points that differ by one minute of latitude.
The minute of latitude is a widely used unit for measuring distances on Earth, particularly in navigation and aviation. It allows for precise calculations and is crucial for determining positions accurately. Understanding the relationship between degrees of latitude and minutes helps in determining distances, estimating travel times, and ensuring accurate navigation across the globe.
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If x= -2, y = 4, find the value of 2x2 - 3xy + 5
Answer:
I am assuming when you say 2x2 you mean 2x squared so using that, your answer should be -35 if Im correct.
Step-by-step explanation:
Brainliest?!?
Answer:
21
Step-by-step explanation:
PLS HELPPPPPPPPPPPPP
Answer:
79
Step-by-step explanation:
They have the same angle measure because the angles are corresponding angles.
Consider the function g(x) =
-9, x < 11
7, x > 11
What is lim g(x), if it exists?
XApproaches 11
To find the limit of the function g(x) as x approaches 11, we need to evaluate the left-hand limit and the right-hand limit separately and check if they are equal.
Left-hand limit:
lim(x->11-) g(x) = lim(x->11-) (-9) = -9
Right-hand limit:
lim(x->11+) g(x) = lim(x->11+) (7) = 7
Since the left-hand limit and the right-hand limit are different, the limit of g(x) as x approaches 11 does not exist.
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2 (4z-1)=3(z+2) simplify
Answer:
z=8/5
Step-by-step explanation:
2(4z-1)=3(z+2)
distribute the 2 and 3
8z-2=3z+6
move 2 to the other side by adding 2
8z=3z+8
move 3 to the other side by subtracting 3
5z=8
divide both sides by 5
z= 8/5
The equivalent value of the expression is z = 8/5 = 1.6
Given data ,
Let the equation be represented as A
Now , the value of A is
2 ( 4z - 1 ) = 3 ( z + 2 )
On simplifying the equation , we get
2 ( 4z - 1 ) = 3 ( z + 2 )
So , the left hand side of the equation is equated to the right hand side by the value of 3 ( z + 2 )
Opening the parenthesis on both sides , we get
2 ( 4z ) - 2 = 3z + 6
8z - 2 = 3z + 6
Subtracting 3z on both sides , we get
5z - 2 = 6
Adding 2 on both sides , we get
5z = 8
Divide by 5 on both sides , we get
z = 8/5
z = 1.6
Therefore , the value of z = 8/5 = 1.6
Hence , the expression is z = 8/5 = 1.6
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A quadratic monomial with a leading coefficient of 6
A linear binomial with a leading coefficient of 2
Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is \(6x^2\).
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means \(ax+b\), where a and b are real values. The leading coefficient is 2. So, \(a=2\).
Let \(b=1\), then the required linear binomial is \(2x+1\).
Therefore, a quadratic monomial with a leading coefficient of 6 is \(6x^2\).
A linear binomial with a leading coefficient of 2 is \(2x+1\).
What scale factor takes hexagon J to hexagon K?
Answer:
Step-by-step explanation:
boody boody
How do you convert cm into mL?
Answer:divideing by the whole number
Step-by-step explanation:
help me with this question
Answer:
15/4
Step-by-step explanation:
The formula for slope is:
(y₂-y₁)/(x₂-x₁)
Now we plug in the coordinates given to us into the equation:
(5-(-10))/(-1-(-5))
15/4
suppose you are asked to guess a number between 1 and 15 (inclusive), and after each guess you are told whether it is higher or lower. what is the minimum number of guesses required to guarantee that you know the number?
3 is the minimum number of guesses required to guarantee that you know the number.
If we use a binary search approach, we can guess the number in a minimum number of steps.
First, we guess the middle number, which is 8. If the answer is higher, we can eliminate all the numbers from 1 to 8, because they are lower than the answer.
Then we guess the middle number of the remaining numbers, which is 12. If the answer is lower, we can eliminate all the numbers from 12 to 15, because they are higher than the answer.
We have now eliminated half of the remaining numbers, and we are left with 6 and 7. We can guess either of these numbers, and we will know the answer with a total of three guesses.
Therefore, we can guarantee that we know the number in three guesses using this binary search approach.
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What is the probability that a randomly selected person from the survey prefers bacon.
The probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.
To determine the probability that a randomly selected person from the survey prefers bacon, we need additional information such as the total number of respondents in the survey and the number of people who prefer bacon. Without this information, it is not possible to calculate the exact probability.
The probability can be calculated by dividing the number of people who prefer bacon by the total number of respondents in the survey. If the survey provides these specific numbers, we can use the formula:
Probability = Number of people who prefer bacon / Total number of respondents
For example, if the survey includes 100 respondents and 60 of them prefer bacon, the probability would be:
Probability = 60 / 100 = 0.6 or 60%
Therefore, the probability that a randomly selected person from the survey prefers bacon would be 60% in this example. However, without knowing the specific numbers, we cannot calculate the probability accurately.
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9. What is the solution to this equation? 2x + 10 = 28 help
Answer: x=9
Step-by-step explanation:
2x+10=28
2x=18
x=9
Answer:
9
Step-by-step explanation:
because 2 times 9 is 18 then plus 10 equals 28
For a lab for her Introductory Chemistry students, Dr. Fletcher needs 330 milliliters of 17%hydrochloric acid (HCI) solution. She currently has a 14% HCI solution and a 19% HCIsolution. How much of each solution should she mix together?
Let x be the volume of the 14% HCl solution and y the volume of the 19% HCl solution, in mililiters.
Since the total volume (in mililiters) of the mix should be 330, then:
\(x+y=330\)The total amount of HCl on the first mix is (14/100), on the second mix is (19/100)y and on the final mix, is (17/100)(330). Then:
\(\frac{14}{100}x+\frac{19}{100}y=\frac{17}{100}\cdot330\)Isolate x from the first equation and substitute the resulting expression into the second one. Then, solve for y and go back to the first equation with the value of y to find the value of x:
\(\begin{gathered} x+y=330 \\ \Rightarrow x=330-y \end{gathered}\)\(\begin{gathered} \frac{14}{100}x+\frac{19}{100}y=\frac{17}{100}\cdot330 \\ \Rightarrow14x+19y=17\cdot330 \\ \Rightarrow14(330-y)+19y=17\cdot330 \\ \Rightarrow14\cdot330-14y+19y=17\cdot330 \\ \Rightarrow14\cdot330+5y=17\cdot330 \\ \Rightarrow5y=17\cdot330-14\cdot330 \\ \Rightarrow5y=(17-14)\cdot330 \\ \Rightarrow5y=3\cdot330 \\ \Rightarrow y=\frac{3}{5}\cdot330 \\ \Rightarrow y=198 \end{gathered}\)\(\begin{gathered} x+y=330 \\ \Rightarrow x+198=330 \\ \Rightarrow x=330-198 \\ \Rightarrow x=132 \end{gathered}\)Therefore, 132 ml of 14% HCl solution and 198 ml of 19% HCl solution are needed to create 330 ml of 17% HCl solution.
Find the gradients of lines a and b
Answer:
a 2
b -1
Step-by-step explanation:
The table shows the weekly income of 20 randomly selected full-time students. If the student did not work, a zero was entered (a) Check the data set for outliers (b) Draw a histogram of the data (c) Provide an explanation for any outliers
a) Any value outside of Q1 - 1.5(IQR) and Q3 + 1.5(IQR) can be considered a potential outlier.
b) This will give us a visual representation of the distribution of income among the full-time students.
c) It is important to analyze outliers carefully to ensure that they are not artificially skewing the results of our analysis.
(a) To check for outliers in the data set, we can use the box-and-whisker plot or the z-score method. However, since we do not have the exact data, we cannot use these methods. One way to identify potential outliers is to calculate the quartiles (Q1, Q2, and Q3) and the interquartile range (IQR).
(b) To draw a histogram of the data, we can use the frequency distribution table given in the question. The x-axis should represent the income ranges (e.g. $0-$100, $100-$200, etc.) and the y-axis should represent the frequency (i.e. the number of students who earned income within each range).
(c) If there are any outliers in the data set, we need to investigate them further to determine the reason for their unusual values. Possible reasons for outliers could be data entry errors, extreme values due to high- or low-income jobs, or unique situations such as unexpected windfalls or emergencies.
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Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of carbohydrates from 10 different tortilla
sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most
appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data
point
Stem-and-leaf plot, because you can see each
individual data point
The most effective graphical representation of the above data would be a histogram.
Which graphical display would be the best fit for the data?A histogram is a graphic representation of the distribution of numerical data. In this case, data on the carbohydrate content of ten different tortilla sandwich wraps is acquired. The best option is a histogram because the data is numerical.
For categorical data, which is broken up into several categories and displayed as a fraction or percentage of the whole, a circle chart, also known as a pie chart, is the best option. The information offered is numerical rather than categorical, though.
Each individual data point is shown as a dot on a number line in a dot plot, also called a line plot. It may not be suitable for larger quantities of data, although being advantageous for an.
Numerical data can be arranged and displayed using a stem-and-leaf plot. For just ten data points, it might not be the ideal depiction, though.
Therefore, the most appropriate graphical representation for the provided data would be a histogram.
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How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
(7n-4n) ×6 = 42-24n
Step-by-step explanation:
Happy to help
Answer:
42-24 the other guy is correct to
Step-by-step explanation:
hope this helped luis!
Suppose you have 4 purple marbles, 3 green marbles, and 5 red marbles.
If 4 marbles are selected at random, what is the probability you will get exactly 1 purple?
*Note, write your answer as the most reduced fraction possible.
For example 1/3 NOT 6/18.
Answer:
3/4
Step-by-step explanation:
Need help, show work
Ramon and Hector ride their bikes at constant rates during a race. Ramon rides 45 miles in 3 hours. The distance, y, in miles, Hector rides in x hours is given by the equation y = 18x. Which statement is true?
No answer text provided.
No answer text provided.
Ramon rides his bike 3 miles per hour faster than Hector rides his bike.
Ramon rides his bike 27 miles per hour faster than Hector rides his bike.
Ramon rides his bike 3 miles per hour slower than Hector rides his bike.
Ramon rides his bike 27 miles per hour slower than Hector rides his bike.
We will find the speeds of both persons, the correct option is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
Which statement is correct?First, we know that Ramon rides 45 miles in 3 hours, then its speed is:
S = 45mi/3h = 15mi/h
And we know that Hector position is given by:
y = 18x
Where x is time in hours, so his velocity is 18mi/h.
Then we can see that:
Ramon's speed = 15mi/hHector's speed = 18mi/hSo the correct statement is:
"Ramon rides his bike 3 miles per hour slower than Hector rides his bike."
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Suppose X is a normal random variable with mean u=49 and standard deviation=9. (a) Compute the z-value corresponding to X=36. (b) Suppose the area under the standard normal curve to the left of the z-value found in part (a) is 0.0743. What is the area under the normal curve to the left of X-367- (c) What is the area under the normal curve to the right of X-36? -
The area under the normal curve to the right of X = 36 is approximately 0.9257.
(a) To compute the z-value corresponding to X = 36, we use the formula:
z = (X - u) / σ
where X is the value of interest, u is the mean, and σ is the standard deviation.
Plugging in the values, we have:
z = (36 - 49) / 9
= -13 / 9
≈ -1.444
Therefore, the z-value corresponding to X = 36 is approximately -1.444.
(b) Given that the area under the standard normal curve to the left of the z-value found in part (a) is 0.0743, we want to find the corresponding area under the normal curve to the left of X = 36.
We can use the z-score to find this area. From part (a), we have z = -1.444. Using a standard normal distribution table or a calculator, we can find the area corresponding to this z-value, which is approximately 0.0743.
Therefore, the area under the normal curve to the left of X = 36 is approximately 0.0743.
(c) To find the area under the normal curve to the right of X = 36, we subtract the area to the left of X = 36 from 1.
Area to the right of X = 36 = 1 - Area to the left of X = 36
= 1 - 0.0743
= 0.9257
Therefore, the area under the normal curve to the right of X = 36 is approximately 0.9257.
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The height of a single car on a Ferris wheel is modeled by a cosine function.
The car completes 4 whole rotations in a time period of 27 minutes.
Write a function rule that could model this situation?
The cosine function that can model this real-world scenario is:
f(x) = -106cos (4x) + 106. See how the same is derived below. The full question is also attached.
A Cosine Function is a periodic function that is denoted as Cos x. See the attached image.
The above function is derived as follows:
T = 2π/4 = π/2 = 2π/ω
Therefore, ω = 2π/π/2 = 4
This means f(x)= -106 cos (4x) + 106
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find the general solution of the given second-order differential equation. y'' − 6y' + 10y = 0
The general solution of the differential equation is: y = c1 e^(3t) cos(t) + c2 e^(3t) sin(t), where c1 and c2 are arbitrary constants determined by the initial or boundary conditions.
The given differential equation is a second-order homogeneous linear differential equation with constant coefficients. Its characteristic equation is obtained by assuming a solution of the form y = e^(rt), where r is a constant. Substituting this into the differential equation, we get:
r^2 e^(rt) - 6r e^(rt) + 10 e^(rt) = 0
Dividing both sides by e^(rt) (which is non-zero), we get:
r^2 - 6r + 10 = 0
Solving for r using the quadratic formula, we get:
r = (6 ± sqrt(6^2 - 4(1)(10))) / 2
r = 3 ± i
Therefore, the general solution of the differential equation is:
y = c1 e^(3t) cos(t) + c2 e^(3t) sin(t)
where c1 and c2 are arbitrary constants determined by the initial or boundary conditions.
This solution consists of a linear combination of two functions: the exponential function e^(3t) and the periodic function cos(t) or sin(t), which oscillates between -1 and 1. The exponential function represents the growth or decay of the system, while the periodic function represents the oscillations or vibrations of the system. The constants c1 and c2 determine the amplitude and phase of the oscillations, respectively. The behavior of the system depends on the signs and magnitudes of the real and imaginary parts of the roots, which determine whether the solutions are overdamped, critically damped, or underdamped.
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(2)I'm stuck pls help me with my algebra work show all ur steps
`y=9x+2`
-2x+7y=-47
Answer:
x = -1
y = -7
Step-by-step explanation:
y=9x+2`
-2x+7y=-47 ==> isolate y
Equation 1: 7y = 2x - 47 ==> add 2x on both sides
Equation 2: y = 9x + 2
7 * (y = 9x + 2)
Equation 3: 7y = 63x + 14
Equation 1: 7y = 2x - 47
Subtract equation 1 from equation 3:
7y = 63x + 14
- (7y = 2x - 47)
7y-7y = 63x-2x + 14-(-47)
0 = 61x + 14 + 47
0 = 61x + 61 ==> solve for x
-61 = 61x ==> subtract 61 on both sides to isolate x
x = -1
Now solve for y
y = 9(-1) + 2 ==> plugin -1 for x in y=9x+2`
y = -9 + 2 ==> simplify
y = -7
`
Simplify 3^6•3.
O A. 9^6
O B. 3^6
O C. 3^7
O D. 3^5
Answer:
2187
Step-by-step explanation:
3^6 = 729
729(3) = 2187
Answer:
C
Step-by-step explanation:
3x3x3x3x3x3x3= 2187
Hope this helps :D
Fully simplify
12 60
3√5
Answer:12/20 3/5
Step-by-step explanation:
Geometry
When you find m<8 given m<11=118, which theorem or postulate justifies your answer?
A. Corresponding Angles postulate
B. Alternate Exterior Angels Theorem
C. Alternate Interior Angles Theorem
D. Same-side Interior Angles Theorem
Answer:
Option (C)
Step-by-step explanation:
From the picture attached,
Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.
By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.
∠8 ≅ ∠11 [Alternate interior angles]
m(∠8) = m(∠11) = 118°
Therefore, Option (C) will be the answer.
The theorem or postulate that justifies your answer is Alternate Interior Angles Theorem. Option C is correct.
From the given diagram, we are given that m<11 = 118 degrees
To get the measure of angle m<8, we will use the following postulates;
The angle 11 and angle m<12 are supplementary, hence;
m<11 + m<12 = 180
118 + m<12 = 180
m<12 = 180 - 118
m<12 = 62 degrees
The measure of the angle m<11 is also equal to m<8 according to the alternate interior angle theorem. Hence;
m<8 = m<11 = 118 degrees (Alternate Interior Angles Theorem)
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What does it mean for a sample to have a standar deviation of zero? describe the scores in such a sample
Given that sample standard deviation is zero. This indicates that the variance of sample is also zero as square of sample standard deviation is sample Variance. Variance is average of the squared deviations from mean. As shown in below formula
Since Variance = 0 , we substitute in formula and we get the sum of squares of deviations of all data points from mean should be zero. This is only possible if and only if all the data points in the data distribution are same as mean of the data distribution. In the case the variance and standard deviation will be zero.
Variance = Summation n to i = 1 \(\frac{(X_{1-X} )^2}{n-1}\)
0 = Summation n to i = 1\(\frac{(X_{1-X} )^2}{n-1}\)
Summation n to i \({(X_{1-X} )^2\) = 0
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