Answer:
ab//dc
Step-by-step explanation:
When m1 = mB
ab//dc
ad//bc
or
none
8x-6= 2/3(6x+15)
please solve for X
Answer:
x=4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
8x-6=2/3(6x+15)
8x-6= 2(6x+15)
3
8x-6=2(6x+15)
3
8x-6= 12x+30
3
8x-6=12x+30
3
8x-6+6=12x30+6
3
8x=12x+30+6
3
8x=12x+30+6
3
3.8x=3(12x+30+6)
3
24x=12x+48
24×-12x=12x48-12x
12x=48
12x=28
12x= 48
12. 12
x=4 ik its long
a data analyst creates a scatterplot. the analyst wants to put a text label on the plot to call out specific data points. what function does the analyst use?
The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.
What is scatterplot?A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.
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which of the following graphs would be best for the cancer registrar to use to display the ten-year survival rates of breast cancer patients at your hospital?
a. Histogram
b. Frequency polygon
c. Line graph
d. Bar graph
The best graph for the cancer registrar to use in displaying the ten-year survival rates of breast cancer patients at the hospital would be a line graph. The answer is: c.
Line graphs are particularly useful for displaying trends over time, making them suitable for representing the ten-year survival rates of breast cancer patients. The x-axis can represent the years, while the y-axis can represent the survival rates.
Each point on the graph represents the survival rate for a specific year, and connecting these points with lines shows the overall trend over the ten-year period.
Line graphs are effective in illustrating changes and patterns in data, making them well-suited for displaying the progression of survival rates over time. They allow for a clear visualization of how survival rates may have increased, decreased, or remained stable over the ten-year period.
Hence, the correct option is c. Line graph.
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1.) What is the pH of the solution with a concentration of 3.1x102M of CH COOH if Ka = 1.8 x 105?
2.) What would the pH be if it was added to a buffer of 0.26 M of NaCH COO(sodium acetate)?
pH = -log[H⁺] = -log[2.82 x 10⁻⁵] = 4.55. When it is added to a buffer of 0.26 M of NaCH COO, the pH of the solution is 4.55.
1. The pH of the solution with a concentration of 3.1 x 10² M of CH COOH if Ka = 1.8 x 10⁻⁵ is given by:
Ka = [H⁺] [CH COO⁻] / [CH COOH]1.8 x 10⁻⁵ = [H⁺] [CH COO⁻] / [3.1 x 10²]
Hence, [H⁺] = 5.96 x 10⁻⁴M
So, pH = -log[H⁺]
= -log[5.96 x 10⁻⁴]
= 3.23
The pH of the solution with a concentration of 3.1x10²M of CH COOH if Ka = 1.8 x 10⁻⁵ is 3.23.2.
CH COOH + NaCH COO ⇌ CH COO⁻ + Na⁺ + H⁺
The initial concentrations of the reactants are:
[CH COOH] = 3.1 x 10² M[NaCH COO] = 0.26 M
At equilibrium, let the concentration of [H⁺] be x M, then the concentrations of CH COOH, CH COO⁻ and Na⁺ are:
(3.1 x 10² - x) M, (0.26 + x) M and 0.26 M, respectively.
So, applying the equilibrium equation, we get:
Ka = [H⁺] [CH COO⁻] / [CH COOH]1.8 x 10⁻⁵ = x (0.26 + x) / [3.1 x 10² - x]
Now, 3.1 x 10² >> x, so we can approximate the denominator as 3.1 x 10².
Therefore, we have:1.8 x 10⁻⁵ = x (0.26 + x) / [3.1 x 10²]
Solving the above equation, we get:x = 2.82 x 10⁻⁵ M (approx.)
So, pH = -log[H⁺] = -log[2.82 x 10⁻⁵] = 4.55
When it is added to a buffer of 0.26 M of NaCH COO, the pH of the solution is 4.55.
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what is the probability that the student selected will be one who both walks to school and has been late to school at least once?
15% of the time, the probability that student who chose to walk has been late.
Explain the term random variable?A random variable is either a variable with an unknown value or a function that gives values to each of the results of an experiment. Therefore, the reason why random variables are named random is because it is impossible to determine their value with certainty; instead, we can only guess, and this estimate is known as the probability that a random variable will have a given value.From the stated data-
37.5% of the 40% of students who walk to school have been late.
Thus, 37.5% of 40%
= 0.375 x 0.40
= 0.1500
= 15%
Thus, 15% of the time, the student who chose to walk has been late atleast once .
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The complete question is-
At a large high school 40 percent of the students walk to school, 32 percent of the students have been late to school at least once, and 37.5 percent of the students who walk to school have been late to school at least once. One student from the school will be selected at random. What is the probability that the student selected will be one who both walks to school and has been late to school at least once?
PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ PLZ HELP ME IM DESPERATE
step by step explanation is given above.
Answer:
\(\left[\begin{array}{cc}Batches&Milk(c)\\1&1\frac{1}{3}\\2&2\frac{2}{3}\\3&4\\4&5\frac{1}{3}\end{array}\right]\)
Step-by-step explanation:
Given the information that: The bake shop uses \(1\frac{1}{3}\) cup of milk for every batch.
Using this we can create a table
What is 1 times \(1\frac{1}{3}\)? Answer: \(1\frac{1}{3}\)
What is 2 times \(1\frac{1}{3}\)? Answer: \(2\frac{2}{3}\)
What is 3 times \(1\frac{1}{3}\)? Answer: 4
What is 4 times \(1\frac{1}{3}\)? Answer: \(5\frac{1}{3}\)
The final table would look like:
\(\left[\begin{array}{cc}Batches&Milk(c)\\1&1\frac{1}{3}\\2&2\frac{2}{3}\\3&4\\4&5\frac{1}{3}\end{array}\right]\)
Hope this helps :)
Have a great day!
How does the minimum or maximum value of a parabola relate to the vertex of the same parabola?
Answer:
The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.
Step-by-step explanation:
please mark me brainlist
The relationship between the vertex and the minimum or maximum value of the parabola is given below.
What is a parabola?A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.
Let the vertex be any parabola is (x, y).
When the graph of the parabola opens up,
then the y-value of the vertex is the minimum value.
And when the graph of the parabola opens down,
then the y-value of the vertex is the maximum value.
Therefore, the explanation is given above.
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Given the function f:{1}→{1}; f(x)=1, check which one(s) of the properties it has.
A. increasing
B. decreasing
C. strictly increasing
D. injective
E. surjective
F. strictly decreasing
G. None of the above
The function f has the property injective. (D)
An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.
In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.
It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.
As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.
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quiz 7the following table shows the individual measurements for five samples taken every 15 minutes starting at 10:00 am to be used in monitoring the quality of a process.10:00 am2.01.82.01.810:15 am2.02.02.02.010:30 am1.81.92.12.210:45 am2.12.11.91.911:00 am1.62.02.21.71. how many measurements are in each sample?2. suppose a mean control chart is being used with an upper limit of 2.2 and a lower limit of 1.8. using the data above, what would be the first point to plot on the control chart?
The first point to plot on the mean control chart would be at 1.9 at control chart with both limits.
1. There are four measurements in each sample, as shown in the table.
2. To plot the first point on the mean control chart, we need to calculate the mean of the first sample. Adding up the four measurements from the 10:00 am sample (2.0 + 1.8 + 2.0 + 1.8) gives a total of 7.6. Dividing by the number of measurements in the sample (4) gives a mean of 1.9. Since the mean is within the control limits of 1.8 and 2.2, the first point on the chart would be plotted at 1.9.
1. To determine how many measurements are in each sample, we simply count the number of measurements provided for each time.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
Each sample contains 4 measurements.
2. To plot the first point on a mean control chart, we need to calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4
Mean = 7.6 / 4
Mean = 1.9
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1. There are 4 measurements in each sample.
2. The first point to plot on the mean control chart would be 1.9, corresponding to the 10:00 am sample.
To determine the number of measurements in each sample, simply count the number of values for each time point.
10:00 am: 4 measurements (2.0, 1.8, 2.0, 1.8)
10:15 am: 4 measurements (2.0, 2.0, 2.0, 2.0)
10:30 am: 4 measurements (1.8, 1.9, 2.1, 2.2)
10:45 am: 4 measurements (2.1, 2.1, 1.9, 1.9)
11:00 am: 4 measurements (1.6, 2.0, 2.2, 1.7)
There are 4 measurements in each sample.
To plot the first point on the mean control chart, calculate the mean of the first sample (10:00 am).
Mean = (2.0 + 1.8 + 2.0 + 1.8) / 4 = 7.6 / 4 = 1.9.
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Find the equation of the line.
y=__x+__
Answer:
y=4x-9
Step-by-step explanation:
Is the relation below a function? If it is a function, state its domain. (0, 3) , (2, -3) , (1, 8) ,(2, 3)
A. The relation is not a function.
B. The relation is a function. The domain is {0 , 1, 2}
C. The relation is a function. The domain is {-3 , 3, 8}
D. The relation is a function. The domain is {-3, 0, 1, 2, 3, 8}
The relation (0, 3) , (2, -3) , (1, 8) ,(2, 3) is a function. The domain is {0 , 1, 2}; Choice B
Definition:
A relation can only be termed a function if it relates each element in its domain to only one element in the range.In essence, When the graph of a function is plotted, a vertical line will intersect it at only one pointThe domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.Read more:
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Please help someone pleaseeeeeeeeeeeeeeeeeeee
Answer:
first question: decrease - second question: 34
Step-by-step explanation:
first question: to find the mean, you need to add all of the numbers together and divide the sum of those by the amount of numbers you added together. in this question, it would be
73+79+96+84=332 -> 332/4=83 is the mean for the 1st set of numbers
(1) (2) (3) (4)
the question asks what happens after the next test score is added in, for this, you will do the same steps as before except you add in the 80 for her fifth test and then divide by 5 instead of 4, because you have another number being added.
73+79+96+84+80=412 -> 412/5=82.4 is the mean for the 2nd set of numbers
the second set of numbers, after the fifth test score is added in, is lower than the first set of numbers. therefore, the mean decreases
second question: same concept, except on a dot plot. a dot above a number means that there is one of those numbers that should be counted. this means since there are 2 dots above the 30, there are 2 30s being added to the rest of the numbers. in this dot plot, the numbers being added are
30+30+32+32+34+38+38+38=272 -> 272/8=34 is the mean
hope this helps!
Select all that apply. Which ratios are
equivalent to 4:5?
7:8
8:10
12:15
14:15
Answer:
12:15 and 8:10
Step-by-step explanation:
How do I write two time the quotient of a number and two
Answer:
2(quotient of x) + 2..............
by factoring, identify the zeros of the quadratic function f (x) = x²-9x-22
Answer:
x= -2, x= +11
Step-by-step explanation:
I hope this is right!
To factorise, we need two numbers that add to make -9 and multiply together to make -22.
2 - 11 works, so we put it in the brackets in this order.
(x + 2) (x - 11)
so x + 2 = 0 and x - 11 =0
but we could also simplify this to say that x could be either -2 or + 11.
I hope this helps.
Have a lovely day.
If a polygon has 8 sides it’s an octagon, but how do i know if it’s regular or not? do i see if the sides are equal? please let me know because i’m not so sure
Answer:
yes if it's normal all the sides are equal hope that helped can i get brainliest if you have time
write any two refinement of partition {1,1.2,1.3,1.4,1.5,2} of [1,2]
The two possible partition refinement of the partition {1, 1.2, 1.3, 1.4, 1.5, 2} of [1, 2] includes:
1. {1, 1.1, 1.2, 1.25, 1.3, 1.35, 1.4, 1.45, 1.5, 1.75, 2}
2. {1, 1.1, 1.3, 1.5, 1.6, 1.7, 1.8, 1.9, 2}
What are refinements of partition?When algorithms are designed, partition refinement is described as a technique for representing a partition of a set as a data structure that allows the partition to be refined by splitting its sets into a larger number of smaller sets.
The first refinement breaks up the larger subintervals of the original partition into smaller subintervals of equal length.
The second refinement groups together some of the subintervals from the original partition to form larger subintervals that are not necessarily of equal length.
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integrate g(x,y,z)=x^2 over the sphere x^2 y^2 z^2=4
On integrating g(x,y,z)=x^2 over the sphere x^2 y^2 z^2=4 we get 4π.
To integrate g(x,y,z)=x2 over the sphere x2 y2 z2=4, follow these steps:
Use spherical coordinates, since it is more convenient to integrate over a sphere:
x = rsinθ cosφ
y = rsinθ sinφ
z = rcosθ
Calculate the Jacobian:
J = r²sinθ
Rewrite the integral in terms of the new coordinates:
I = ∫02π∫0π∫02r2sinθ cos2θ drdθdφ
Calculate the integral:
I = 4π
Integrating g(x,y,z)=x2 over the sphere x2 y2 z2=4. The final answer is I = 4π.
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Kevin earned $28,500 in gross wages last year and had $1,350 in capital
gains. How much of Kevin's income from last year subject to income
tax?
O $29.850
O $27.150
O $28.500
O $1,350
Answer: $29850
Step-by-step explanation:
From the question, we are informed that Kevin earned $28,500 in gross wages last year and had $1,350 in capital gains.
The amount of Kevin's income from last year that is subject to income tax will be the addition of the amount he earned and his capital gains. This will be:
= $28500 + $1350
= $29850
The lengths of the sides of a right angled triangle are ( x+1)cm,4x cm,and (4x+1) cm . Find the value of x
Answer:
The value of x is 6.
Step-by-step explanation:
You have to use Pythagorean Theorem, a² + b² = c². Make (4x+1)cm as the hypotenuse because any values substitute into x will give the highest length among these 3 expressions of length :
\( {a}^{2} + {b}^{2} = {c}^{2} \)
Let a = side = (x+1)cm,
Let b = side = 4x cm,
Let c = hypotenuse = (4x+1)cm,
\( {(x + 1)}^{2} + {(4x)}^{2} = {(4x + 1)}^{2} \)
\( {x}^{2} + 2x + 1 + 16 {x}^{2} = 16 {x}^{2} + 8x + 1\)
Then you have to simplify :
\(17 {x}^{2} + 2x + 1 = 16 {x}^{2} + 8x + 1\)
\(17{x}^{2} + 2x + 1 - 16 {x}^{2} - 8x - 1 = 0\)
\( {x}^{2} - 6x = 0\)
Next you have to solve it :
\( {x}^{2} - 6x = 0\)
\(x(x - 6) = 0\)
\(x = 0 \: (rejected)\)
\(x - 6 = 0\)
\(x = 6cm\)
The value of x in the right triangle is 6 cm.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Right triangle:
The three sides are:
x + 1, 4x and 4x + 1
Applying the Pythagorean theorem.
(x + 1)² + (4x)² = (4x + 1)²
x² + 2x + 1 + 16x² = 16x² + 8x + 1
17x² + 2x + 1 = 16x² + 8x + 1
17x² - 16x² = 8x - 2x
x² = 6x
x gets canceled.
x = 6
Thus,
The value of x is 6.
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A survey showed 60% of dentists recommended Sparkle toothpaste. If 200 dentists took part in the survey, how many of them recommended Sparkle toothpaste?
120 of the 200 dentists that participated in the survey and recommended Sparkle toothpaste.
If 60% of dentists recommended Sparkle toothpaste, then the remaining 40% did not.
To find out how many dentists recommended Sparkle toothpaste, we can multiply the total number of dentists in the survey (200) by the percentage who recommended it (60% or 0.6):
To solve for x, we can cross-multiply and simplify:
100x = 60 * 200
x = (60 * 200)/100
x = 120
Number of dentists who recommended Sparkle = 0.6 * 200 = 120
Therefore, 120 of the 200 dentists who took part in the survey recommended Sparkle toothpaste.
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Determine the magnitude of the moment about the y�-axis of the force F=500=500 (Fx=300,Fy=200,Fz=(Fx=300,Fy=200,Fz= ?) acting at (4,−6,4).
a) 186
c) 2580
b) 1385
d) 3185
The closest answer is (d) 3185. To determine the magnitude of the moment about the y-axis, we need to first calculate the moment vector by taking the cross product of the position vector and the force vector:
r x F = <4, -6, 4> x <300, 200, ?> = <(-6*?), (-4*?), (-1800-1200)> =
Since we only care about the magnitude of the moment, we can use the formula:
|τ| = |r x F| = √( ?^2 + ?^2 + (-3000)^2 )
We can solve for the missing components by using the fact that the cross product is orthogonal to both r and F, so the dot product between them must be zero:
4*? + (-6)*? + 4*(300) = 0
Simplifying this equation gives:
4*? - 6*? + 1200 = 0
-2*? = -1200
? = 600
Substituting this value into the previous formula gives:
|τ| = √( (-6*600)^2 + (-4*600)^2 + (-3000)^2 ) = √(2160000 + 1440000 + 9000000) = √12600000 = 3549.83
Rounding to the nearest whole number gives an answer of 3550, which is not one of the options given. Therefore, the closest answer is (d) 3185.
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In the following descriptions of a study, confounding is present. Describe the explanatory and confounding variable in the study and how the confounding may invalidate the conclusions of the study. Furthermore, suggest how you would change the study to eliminate the effect of the confounding variable.
a. A prospective study is conducted to study the relationship between incidence of lung cancer and level of alcohol drinking. The drinking status of 5,000 subjects is determined, and the health of the subjects is then followed for 10 years. The results are given below.
Lung Cancer
Drinking status Yes No Total
Heavy drinker 50 2150 2200
Light drinker 30 2770 2800
Total 80 4920 5000
b. A study was conducted to examine the possible relationship between coronary disease and obesity. The study found that the proportion of obese persons having developed coronary disease was much higher than the proportion of nonobese persons. A medical researcher states that the population of obese persons generally have higher incidences of hypertension and diabetes than the population of nonobese persons.
Confounding may invalidate the conclusions of the study as it can cause a bias that can make the effect of the explanatory variable look larger or smaller than it actually is.
This means that the relationship between alcohol drinking status and incidence of lung cancer is influenced by After the classification of smokers and non-smokers, a separate analysis can be done to find the effect of alcohol drinking on lung cancer in both groups.
Explanatory and Confounding Variable in the study :In the given study, the explanatory variable is obesity and the response variable is coronary disease. Whereas, the confounding variable is hypertension and diabetes because these diseases are associated with obesity. The confounding variable can invalidate the conclusions of the study as it can affect the relationship between obesity and coronary disease .To eliminate the effect of the confounding variable, the study can be changed in the following ways.
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1 divided by 9/13 =
1 2/5 divided by 1 13/15 =
1 2/3 x 2 1/10 =
help
Answer:1 divided by 9/13=1.4,1 2/5 divided by 1 13/15=13/2,1 2/3 x 2 1/10=1/1
Step-by-step explanation:
f (x) = 322 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140
O valor de f(-4) é a opção D
the international math and science assessment for fourth- and eighth-graders is called the:
The international math and science assessment for fourth- and eighth-graders is called the Trends in International Mathematics and Science Study (TIMSS).
This assessment is conducted every four years and measures the knowledge and skills of students in math and science subjects across different countries. TIMSS aims to provide a global perspective on students' academic achievement and to identify areas of strength and weakness in education systems. The assessment is particularly important for policymakers, educators, and researchers as it enables them to compare the performance of students in different countries and to identify effective teaching practices. By participating in TIMSS, fourth- and eighth-graders can contribute to this global effort to improve the quality of education and prepare for future challenges.
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What is the total area of each garden bed has a length of 4 feet Amelia
Answer:
48 ft^2.
Step-by-step explanation:
In this case, our formula is known as 3s^2 which can be written out as 3 x s x s or 3(s x s). S is the variable to represent our length and width because the formula for finding the area is l x w which can be written out as length x width. If the total area of each garden bed has a length of 4 feet, our equation would be 3(4 x 4) or 3 x 4 x 4 or 3(4)^2. 4 x 4 or 4^2 is 16. If we multiply 16 by 3, the answer would be 48. That is why the total area of each garden bed would be 48 ft^2.
The third, fifth and eighth terms of an AP are the first 3 consecutive terms of a GP. Given that the first term of the AP is 8, calculate the common difference
Answer:
Common Difference = 2.
Step-by-step explanation:
An AP can be written as a1, a1 + d, a1 + 2d, a1 + 3d, a1 + 4d, a1 + 5d, a1 + 6d , a1 + 7d.
where a1 = first term and d is the common difference.
Here first term = a1 = 8
3rd term = a1 + 2d = 8 + 2d
5th term = a1 + 4d = 8 + 4d
8th term = 8 + 7d
First 3 terms of a GP are a , ar and ar^2
So from the given information:
a = 8 + 2d
ar = 8 + 4d
ar^2= 8 + 7d
Dividing the second equation by the first we have
r = (8 + 4d)/(8 + 2d)
Dividing the third by the second:
r = (8 + 7d) / (8 + 4d)
Therefore, eliminating r we have:
(8 + 4d)/(8 + 2d) = (8 + 7d)/(8 + 4d)
(8 + 4d)^2 = (8 + 2d)(8 + 7d)
64 + 64d + 16d^2 = 64 + 72d^ + 14d^2
2d^2 - 8d = 0
2d(d^2 - 4) = 0
2d = 0 or d^2 = 4, so
d = 0, 2.
The common difference can't be zero so it must be 2.
My first question ever, and my last question yet.
Alec and Beau race to compute 1 + 2 + 3 + ... + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n?
Answer:
n = {14, 15, 16}Step-by-step explanation:
This is a sum of the first n terms of an AP:
S = (1 + n)*n/2The true sum is between 92 and 145:
92 < n(n + 1)/2 < 145184 < n(n + 1) < 290184 < n² + n < 290185 < (n + 1/2)² < 291√185 < n + 1/2 < √29114 ≤ n < 17Let n = 14
S = 14*15/2 = 105Let n = 15
S = 15*16/2 = 120Let n = 16
S = 16*17/2 = 136Please i need help with this math problem help meeee
Answer:
GH = 62°
Step-by-step explanation:
the chord- chord angle 45° is half the sum of the measures of the arcs intercepted by the angle and its vertical angle , that is
45° = \(\frac{1}{2}\) (FE + GH) ← multiply both sides by 2 to clear the fraction
90° = FE + GH = 28° + GH ( subtract 28° from both sides )
62° = GH