In obtuse triangle ABC, mA = 104 and mC = 32. Find mB.
Answers
Related Questions
Susan and Bonnie are shopping for school clothes. Susan has $50 and a coupon for a $10 discount at a clothing store where each shirt costs $12.
Susan thinks that she can buy three shirts, but Bonnie says that Susan can buy five shirts. The equations they used to model the problem are listed below. Solve each equation algebraically, justify your steps, and determine who is correct.
Susan’s Equation Bonnie’s Equation
12n + 10 = 50 12n − 10 = 50
First, who is correct?
Answers
Answer:
Bonnie is correct.
Step-by-step explanation:
Input 5 for the amount of shirts for letter X then follow the steps for a multistep equation:
12(5) - 10 = 50
60 - 10 = 50
50 = 50
x = x or 1
So, Susan, as Bonnie said, can buy 5 shirts.
(b) The population consists of all 15-year-olds living in the attendance district of a local high school. You plan to obtain a simple random sample of 200 such residents by using the student roster of the high school as the sampling frame. (Select all that apply.)
Home-schooled students cannot be sampled.
Dropouts cannot be sampled.
Students who are on a school trip cannot be sampled.
Students who are out sick cannot be sampled.
Students who are skipping class cannot be sampled.
Answers
The people that would not be sampled would be:
Dropouts cannot be sampled.Home-schooled students cannot be sampled.How to determine the groups that cannot be sampled.We have to do this by considering the people that would be seen present in the roster of the school. The people that are dropouts as well as homeschooled cannot appear in a school register because they are not students.
The students that are sick and on the trip are all students of the high school so they can be included in the sampling that is being done by the school.
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Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?
Answers
Answer:
12,280
Step-by-step explanation:
just do 1456×5 :))
what do the widths of the bars in an energy pyramid represent?
Answers
Answer:
it represents and the relative amount of energy in the trophic level.i think sorry if I am wrong
The widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
What is a energy pyramid?It is defined as the graphical representation of the movement of the energy from one living organism to another in the ecosystem.
When we think of one organism eating another, we usually think of a huge, predatory predator at the top of the food chain. While this depicts the ecological relationships between creatures, it does not depict the energy flow throughout the ecosystem.
Every bar's width indicates the units of energy available within each trophic level, while the height remains constant. The flow of energy goes from the bottom up through the layers of the energy pyramid, gradually decreasing as energy is used up by the creatures at each level.
Thus, the widths of the bars in an energy pyramid represent the units of energy available within each trophic level.
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What is Set-builder and give example
Answers
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
Review the Monthly Principal & Interest Factor chart to answer the question:
FICO Score APR 30-Year Term 20-Year Term 15-Year Term
770–789 5.5 $5.68 $6.88 $8.17
750–769 6.0 $6.00 $7.16 $8.44
730–749 6.5 $6.32 $7.46 $8.71
710–729 7.0 $6.65 $7.75 $8.99
690–709 7.5 $6.99 $8.06 $9.27
Determine the percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR. Round the final answer to the nearest tenth.
31.0%
31.1%
59.0%
68.5%
Answers
The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)
How is this so ?
To calculate the percent decrease, we can use the following formula.
Percent decrease = ( (30-year factor - 15-year factor) / 30-year factor) x 100
Substituting the values from the chart.
= (($ 6.65 - $8.71) / $6.65) x 100
= ( -$ 2.06 / $6.65) * 100
= -0.309 * 100
Percent decrease ≈ - 30.9 %
Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is
Percent decrease ≈ 31%
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1. when reasonable explanations for an experiment are not eliminated placebo effect 2. breaking a sample group into subgroups block design 3. positive response to neutral treatment cofounding 4. means, medians, and modes outcome 5. results parameter
Answers
1. Cofounding
2. Block Design
3. Placebo Effect
4. Experiment
5 Dependent
1. Placebo effect occurs when participants in an experiment experience a perceived benefit or improvement simply because they believe they are receiving a treatment, even if the treatment itself has no actual therapeutic effect.
2. Block design involves breaking a sample group into subgroups based on specific characteristics or factors that could influence the outcome of the experiment. By doing this, researchers can ensure that each subgroup is represented in the experiment and that any differences observed can be attributed to the treatment being tested rather than other factors.
3. Confounding occurs when an additional factor or variable, other than the treatment being studied, influences the observed outcome. This can lead to a false association or correlation between the treatment and the outcome.
4. Means, medians, and modes are different measures of central tendency used to describe the average or typical value in a dataset. The mean is the arithmetic average, calculated by summing all values and dividing by the number of values.
5. In statistics, a parameter refers to a characteristic of a population. It is a fixed numerical value that describes a particular aspect or attribute of the population. Parameters are often unknown and estimated using sample data.
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Lucy is 15 years old and has $1000, she invests in a CD paying 8% interest. How many times will her money double by the time she is 60?
Answers
Answer:
5
Step-by-step explanation:
(1 + i ) ^45 i = interest in decimal 45 = years
(1.08)^45 = ~~ 32
when she is 65 it will be worth 32 000
so it doubles 5 times (1000 2000 4000 8000 16000 32000)
Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
Answers
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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end-of-module Assessment task 7-1 answers.
Answers
Answer: 6
Step-by-step explanation:7 -1=6
Find the slope of the line: 5x − 10y = 8 by converting to the slope-intercept form
Answers
Answer:
Slope = 1/2
Step-by-step explanation:
Subtract 5x from one side to get y alone, then divide by 10 to completely get rid of the 10y. 5 divided by 10 is 5/10, or 1/2
Hope this helps :)
The graph of the function f(x) = (x-4)(x + 1) is shown
below.
Which statement about the function is true?
O The function is increasing for all real values of x
where
x < 0.
O The function is increasing for all real values of x
where
x < -1 and where x > 4.
O The function is decreasing for all real values of x
where
-1
O The function is decreasing for all real values of x
where
x < 1.5.
Answers
The statement that is true regarding the function f(x) = (x-4)(x + 1) is that the function is increasing for all real values of x where x < -1 and where x > 4. So, the option is: O The function is increasing for all real values of x where x < -1 and where x > 4.
Explanation: Given function is:f(x) = (x - 4) (x + 1). The graph of the given function is shown below: As it is visible from the graph, the function is decreasing for all real values of x where x lies between -1 and 4 (inclusive).
The turning point of the function is x = -0.5, which is the x-coordinate of the vertex of the parabola. Also, we see that the vertex is the minimum point of the parabola and the y-coordinate of the vertex is -4.25. This means that f(x) ≥ -4.25 for all x. The function is increasing for all real values of x where x < -1 and where x > 4.
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Write the equation of a line that is perpendicular to y = -3/6X +7 and passes through the point (2,-8).
Group of answer choices
A. 2x +y =-8
B. y = 2x -12
C. y = 4x 8
D. y = -2x -6
Answers
Answer:
Step-by-step explanation:
As perpendicular lines have negative reciprocal slopes, the options will have a slope of 6/3 = 2
The only option with a slope of 2 is B. y = 2x -12
A has slope of -2
C has slope of 4
D has slope of -2
only thing to do is to verify the point
-8 = 2(2) - 12
-8 = -8 check
A patient with high blood pressure who weighs 220 pounds is put on a diet to lose 22 pounds in three months. The patient loses 10 3/8 pounds the first month and 10 3/8 pounds the second month. How much weight must be lost the third month for the goal to be achieved?
Answers
Given:
1st month:
\(10\frac{3}{8}=\frac{83}{8}\)2nd month:
\(10\frac{3}{8}=\frac{83}{8}\)3rd month is given by:
\(22-\frac{83}{8}-\frac{83}{8}\)\(22\cdot\frac{8}{8}=\frac{176}{8}\)Since the denominators are equal, we combine the fractions:
\(\frac{176}{8}-\frac{83}{8}-\frac{83}{8}=\frac{176-83-83}{8}=\frac{176-166}{8}=\frac{10}{8}\)Simplify:
\(\frac{5}{4}=1\frac{1}{4}\)Answer:
\(\begin{equation*} 1\frac{1}{4} \end{equation*}\)Which series tests can be used to show that a series converges absolutely? (Select all that apply) Alternating Series Test Ratio Test Limit Comparison Test Test for Divergence Root Test
Answers
The following are the series test to show series are absolute convergence ,Ratio Test ,Limit Comparison Test, Root Test.
The following series tests can be used to show that a series converges absolutely,
Ratio Test
Root Test
Limit Comparison Test
The Alternating Series Test cannot be used to show absolute convergence, as it only applies to alternating series.
The Test for Divergence is used to show that a series diverges, but not whether it converges absolutely.
The Alternating Series Test and Test for Divergence do not test for absolute convergence, but rather conditional convergence.
They cannot be used to show that a series converges absolutely.
Therefore, series used to show absolute convergence are given by
Ratio Test
Limit Comparison Test
Root Test
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Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
Answers
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
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Does anyone know how to Simplify: 8-2
Answers
Answer: 6
Step-by-step explanation: simplify is basically solving........
the set of lowercase words of length 8 in which each distinct letter appears exactly twice (e.g., approora, yetiteyi, tunantau).
Answers
There are 12 lowercase words of length 8 in which each distinct letter appears exactly twice.
What are the Lowercase Words?To form a lowercase word of length 8 in which each distinct letter appears exactly twice, we can choose 4 distinct letters from the English alphabet and then arrange them in pairs in the word. The number of ways to choose 4 distinct letters from 26 is:
C(26, 4) = 26! / (4! * 22!) = 14,950
Once we have chosen 4 distinct letters, we can arrange them in pairs in the word in the following way:
Choose the first pair: we can choose any of the 4 letters, so there are 4 options.Choose the second pair: we can choose any of the remaining 3 letters, so there are 3 options.Arrange the pairs: there is only one way to arrange the pairs.Therefore, the total number of such words is:
4 * 3 * 1 = 12
Thus, there are 12 lowercase words of length 8 in which each distinct letter appears exactly twice. Here are all the possible words:
aabbccddaabbddccaaccbbddaaccddbbaaddbbccaaddccbbbbaaccddbbaaddccbbcc aaddbbdd aaccccdd aabbddcc aabbLearn more about lowercase words here: https://brainly.com/question/16397886
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The sequence below is arithmetic:
{3, -6, -15, -24}
TRUE OR FALSE
Answers
Answer: TRUE
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between each term (number) is a constant.
Given the sequence is {3, -6, -15, -24}
3 - (-6) = 9
-6 - (-15) = 9
-15 - (-24) = 9
As we can see from above, the difference between the given terms is all 9. Therefore, it is indeed an arithmetic sequence.
Hope this helps!! :)
Please let me know if you have any questions
Answer:
true
Step-by-step explanation:
Please see the attached
Answers
(a). The Tanakas paid a total of $523,906.40 for the townhome.
(b). The Tanakas paid $206,906.40 in interest on their mortgage over the 15-year period.
What is simple intresst?Simple interest is the type of interest that is calculated on the principal amount only.
It is a fixed percentage of the principal amount that is charged or earned over a certain period of time, without any compounding of interest.
(a) The total amount they ended up paying for the townhome is the sum of the down payment and the total amount of the mortgage payments.
Down payment = $41,000
Total amount of mortgage payments = monthly payment x number of payments = $2675.04 x 12 months/year x 15 years = $482,906.40
Total amount paid = down payment + total amount of mortgage payments = $41,000 + $482,906.40 = $523,906.40
(b) The amount of interest paid on the mortgage can be calculated by subtracting the principal (the amount borrowed) from the total amount paid.
Principal = Total cost of townhome - Down payment = $358,000 - $41,000 = $317,000
Total interest paid = Total amount paid - Principal = $523,906.40 - $317,000 = $206,906.40
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what is 11/2 times 1/3 as a fraction
Answers
Answer:
11/2 times 1/3 is 11/6
Step-by-step explanation:
11/2 times 1/3,
We have to multiply the numerators and denominators,
\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)
hence we get 11/6
The expression (4k + 8)/4 simplifies to an expression of the form ak+b where a and b are integers. find a/b.
Answers
If the expression (4k + 8)/4 simplifies to an expression of the form ak + b, then the value of a/b is 1/2
The expression is (4k + 8) / 4
The expression is the mathematical statement that consist of the different variables, numbers and the mathematical operator. The mathematical operators are addition, subtraction, division and multiplication.
The given expression is (4k + 8)/ 4
Solve the expression
(4k + 8) / 4 = 4k/4 + 8/4
Divide the terms
=k + 2
The result is in the form of ak + b
The value of a = 1
The value of b = 2
The value of a/b = 1/2
Therefore, the value of the expression a/b is 1/2
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Plz help I need help
Answers
Step-by-step explanation:
so,
61/4 can also be written as 25/4 so,
now divide 25/4 by 5 so,
\( \frac{ \frac{25}{4} }{5} = \frac{25}{4 \times 5} = \frac{5}{4} \)
and also,
5/4 can be written as,
\(1 \frac{1}{4} \)
so,
option A is correct.
hope this answer helps you dear! may u have great day ahead...!
The circumference would ……. For example, a circle with a radius of 3 feet would have a circumference that is about 18 feet. When the radius doubles to 6 feet, the circumference is about ………. feet.
Answers
Answer:
37.7 feet
Step-by-step explanation:
The circumference of a circle can be calculated using the formula: Circumference = 2 * π * radius, where π (pi) is approximately 3.14159.
For example, if we have a circle with a radius of 3 feet, its circumference would be approximately 18.85 feet (rounded to five decimal places).
When we double the radius to 6 feet, the circumference also doubles. In this case, the circumference would be approximately 37.70 feet (rounded to five decimal places).
In summary, when the radius of a circle doubles, the circumference also doubles, maintaining a direct proportional relationship between the two measurements.
no the projvet iS 348
3=20
14. Model Real Life A self-balancing scooter travels 12 miles
per hour. An all-terrain vehicle can travel 6 times as
fast as the scooter. A go-kart can travel 67 miles
per hour. Which vehicle can travel the fastest?
Answers
An all-terrain vehicle can travel the fastest.
What is Speed ?Speed can be define as the time rate by which an object is moving or running along a path. A speed is the quantity which describes the moving rate of any object. We can define the speed with respect to distance and time . Or we can say speed is distance per unit of time . It is calculate in term of kilometers per hour.
Mathematically, we can write:
\(Speed = \frac{Distance}{Time}\)
where, distance is measured in km
and Time is measured in hours
In the question, the distance for three different types of vehicles are given and we have to find fastest vehicle for which we need to find the speed.
For self-balancing scooter
Time = 1 hour
Distance = 12 miles
Therefore, Speed = 12 miles/h
For all-terrain vehicle
Time = 1 hour
Distance = 12 . 6 = 72 miles
Therefore, speed = 72 miles/h
For a go-kart
Time = 1 hour
Distance = 67 miles
Therefore, speed = 67 miles/h
Hence it is cleared that An all-terrain vehicle can travel the fastest.
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In induction, you look for a pattern and then form an educated guess or
about it.
A. conjugation
B. conjunction
C. congruence
D. conjecture
SUBMIT
Answers
The answer is D: conjecture
The key words in the description are "look for a pattern and then form an educated guess." This suggests making a hypothesis or assumption based on the observed pattern, which is the definition of a conjecture.
The other answer choices are defined as follows:
A. conjugation - the act of changing a verb to agree with its subject
B. conjunction - a connecting word
C. congruence - the state of agreeing, matching, or coinciding
D. conjecture - an opinion or conclusion formed on the basis of incomplete information
So option D, conjecture, is the best match for forming an educated guess based on an observed pattern in induction.
Can someone please solve number 6 for me it’s urgent
Answers
Answer:
Value of blank = 1 / (-5x)
Step-by-step explanation:
Given:
__ × (-5x) = 1
Find:
Value of blank
Computation:
Assume;
Blank = y
So,
y × (-5x) = 1
y = 1 / (-5x)
Value of blank = 1 / (-5x)
3. Using the diagram below, answer the following questions. Remember, you must
show your work for credit.
LA = 6y+42
ZC
ZD
A. Solve for y. (2 points)
ZA=
y=
I
B. Find the measure of angles A, C and D showing all work. (2 points)
ZC=
LB = 66
ZD =
Answers
Using vertical angles, it is found that:
A. The solution for y is of y = 4.
B. The angle measures are given as follows:
<A = 66º.<C = 114º.<D = 114º.Vertical AnglesIf two angles are opposite by the same vertex in crossing segments, these angles are called vertical angles, and they are congruent, that is, they have the same measure.
In the context of this problem, the angles of 6y + 42 and of 66 are vertical, hence the value of y is calculated as follows:
6y + 42 = 66
6y = 24
y = 24/6
y = 4.
Angles A and C are supplementary, meaning that the sum of their measures is of 180º, hence:
<C + 66º = 180º
<C = 180º - 66º
<C = 114º.
Angles C and D are vertical, hence the measure of angle D is calculated as follows:
<D = 114º.
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A bookstore had 60 copies of a magazine. Yesterday, it sold 1/3 of them. Today, it sold 1/4 of what remained. How many copies does the bookstore have left?
Answers
Answer:
30
Step-by-step explanation:
1/3 of 60 is 20
40 would be left
1/4 of 40 is 10 so 30 would be left
a) calculate the reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm. b) is this flow around the sphere turbulent? (yes/no/maybe) c) calculate the reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm.
Answers
a) The Reynolds number for a sphere moving in air is 83,333.33.
b) Yes, Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
c) The Reynolds number for a sphere moving in water is 150,000.
Reynolds Number Sphere Flowa) To calculate the Reynolds number for a sphere moving in air at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of air is 1.2 kg/m³, viscosity of air is 1.78 x 10⁻⁵ Ns/m² and diameter is 0.1m.
Re = (1.2 * 15 * 0.1) / (1.78 x 10⁻⁵)
Re = 83333.33
b) Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000). So, the answer is yes.
c) To calculate the Reynolds number for a sphere moving in water at 15 m/s with a diameter of 10cm, we can use the formula:
Re = (density * velocity * diameter) / viscosity
Where density of water is 1000 kg/m³ and viscosity of water is 0.001 Ns/m².
Re = (1000 * 15 * 0.1) / (0.001)
Re = 150000
Based on the Reynolds number, the flow around the sphere is turbulent (Re > 4000).
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