Answer:
m<8 = 26°
Step-by-step explanation:
Given:
m<3 = 124°
Required:
m<8
SOLUTION:
Find m<4.
m<4 + m<3 = 180° (linear pair)
m<4 + 124° = 180°
m<4 + 124° - 124° = 180 - 124°
m<4 = 26°
Find m<8:
m<8 = m<4 (corresponding angles)
m<8 = 26° (substitution)
17
11
S
3
18
If the median is 17, which number could s be?
7
18
Answer:
s=18
Step-by-step explanation:
the median is 17(middle number)
It goes from smaller to bigger
2 numbers onthe left of 17 and 2 numbers on the right of 17
3 11 17 18 18
Answer:
it would be 18
Step-by-step explanation:
18 being the answer makes 17 the middle it has to be more than 17 and it is 18
What is the value of x?
Answer:
5.6
Step-by-step explanation:
We want to find the value of x, which is part of the segment that includes the length 10.
We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).
Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:
ab = cd
10 * x = 7 * 8
10x = 56
x = 56/10 = 5.6
The answer is 5.6.
Each diagonal has two parts (a, b, c, and d).
The formula is ab = cd
We have the values:
a = 10
b = x
c = 8
d = 7
Put these in the formula:
10x = (8)(7)
Solve for x.
10x = (8)(7)
10x = 56
10x/10 = 56/10
x = 5.6
Therefore, the answer is x = 5.6
Best of Luck!
A line passes through (5,-4) and (-1,-4). Write the equation of the line in slope-intercept form.
Explanation:
The formula of the slope of a line that passes through points (x1, y1) and (x2, y2) is:
\(m=\frac{y_1-y_2}{x_1-x_2}\)For this problem the slope is:
\(m=\frac{-4-(-4)}{5-(-1)}=\frac{-4+4}{5+1}=\frac{0}{6}=0\)A slope of zero indicates that the line is horizontal. Therefore it is a constant.
The slope-intercept form of the equation of a line is:
\(y=mx+b\)Where m is the slope and b is the y-intercept. In this case, the slope is zero so we just have:
\(y=b\)b is the y-coordinate of the given points: b = -4
Answer:
y = -4
Which of the following is true?
A) The girls are taller on average
B) The boys are taller on average
Answer:
b I think bc ik that most girls grow faster than boys and might be typically taller than them until the boys grow and then somehow get taller than girls
Answer:
B) The boys are taller on average
Which of the following equations is of a parabola with a vertex at (1, -2)?
O y = (x - 1)2 - 2
O y = (x - 1)2 + 2
O y = (x + 1)2 - 2
O y = (x + 1)2 - 2
Answer:
y = (x-1)^2 - 2
Step-by-step explanation:
The parabola vertex point is always (h, k) in y = (x-h)^2 + k
All you have to do is look at h and k to find your vertex. Since in y = (x-1)^2 -2 has an h of -1 (Which makes it positive 1 when you plug it in) and a k of -2, that means that is your answer.
What are the features of the quadratic function graphed in the figure?
A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3
B) Vertex = (–4,3), y-intercept = (5,0), x-intercepts = (0,1) and (0,5), axis of symmetry is x = –4
C) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (–5,0) and (–1,0), axis of symmetry is x = –3
D) Vertex = (3,–4), y-intercepts = (–1,0) and (–5,0), x-intercept = (0,5), axis of symmetry is x = 3
The correct option is A) Vertex = (–3,4), y-intercept = (0,–5), x-intercepts = (1,0) and (5,0), axis of symmetry is x = –3.
What is quadratic function ?A quadratic function is a type of polynomial function with a degree of two, represented by a parabolic curve when graphed, and can have a maximum or minimum point known as the vertex.
To determine the correct option, we need to compare each feature given in the options with the graph. Here are the steps:
Step 1: Identify the vertex of the graph.
From the graph, we can see that the vertex is located at (–3,4).
Step 2: Identify the y-intercept.
From the graph, we can see that the y-intercept is located at (0,–5).
Step 3: Identify the x-intercepts.
From the graph, we can see that there are two x-intercepts located at (1,0) and (5,0).
Step 4: Identify the axis of symmetry.
The axis of symmetry is the vertical line that passes through the vertex and divides the parabola into two symmetric halves. From the graph, we can see that the axis of symmetry is the vertical line x = –3.
Comparing the features given in the options with the graph, we can see that option A matches all the features correctly.
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find the value of angle BAC
Answer:
The value of angle BAC = 75°
Step-by-step explanation:
=> Angle BAC + 105° = 180°
=> Angle BAC = 180° - 105°
=> Angle BAC = 75°
Compute the following using a calculator.
csc(203∘)
Round your answer to the nearest thousandth, and only include the numerical value in your answer - do not write cscθ= in your response.
Using a calculator, the value of csc (203°) is -1.086
How to compute csc (203°) using a calculator?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Since csc (203°) = 1/[sin (203°)]
Press 1/ [sin (203°)] and then the equal to button on your calculator. We have:
1/[sin (203°)] = -1.086
Note: If you calculator have "cosec" or "csc" button, you can simply press cosec (203°) or csc (203°) to get the answer.
Thus, the value of csc (203°) is -1.086
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Correct answer gets brainliest
The correct option is (d) i.e. The area of the given parallelogram will be 36 ft²
What is a Parallelogram ?
A quadrilateral with two sets of parallel sides is known as a parallelogram. A parallelogram has equal-sized opposite sides and opposite angles. Additionally, the interior angles on the same side of the transversal are additional. 360 degrees is the total of all interior angles.
The term "parallelepiped" refers to a three-dimensional shape with parallelogram-shaped faces. The base (one of the parallel sides) and height (the distance from top to bottom) of a parallelogram determine its area, respectively. The length of each of a parallelogram's four sides determines its perimeter.
Given : base of parallelogram = 4+2= 6 ft
height of the parallelogram = 6ft
We know that, area of a parallelogram = base × height
So, Area of the given parallelogram = 6 × 6
= 36 ft²
Hence, The correct option is (d).
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which angles are congruent to each other
Answer:
Angles that are vertical or across from each other are congruent or equal.
The dimensions of a cylinder are shown in the diagram
Round to the nearest whole number , what is the total surface area of the cylinder in cubic centimeters
Answer:
S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3
to solve 2/5 x = 14, you multiply both sides of the equation by 5/2. your friend divides both sides of the equation by 2/5. who is right? explain.
Both of you are correct because using either way can solve the equation for the value of x.
How to solve for x ?In the case of solving for x in 2/5 x = 14, the goal is to get rid of the fraction that is multiplying x on the left side. This can be done by either multiplying both sides of the equation by the inverse of 2 / 5 ( which is 5 / 2 ) or by dividing both sides by 2 / 5.
Doing either of these things would get rid of the 2 / 5 and give an answer to x as shown below :
Multiplying :
2/5 x = 14
5 / 2 x 2 / 5 x = 14 x 5 / 2
x = 35
Dividing :
2/5 x = 14
2 / 5 x / 2 / 5 = 14 / 2 / 5
x = 35
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The workers' union at a particular university is quite strong. About 96 of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 2 of the workers interviewed are union members?
The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
To solve this problem, we can use the binomial probability formula, which is:
\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)
where:
n is the sample size (number of workers being interviewed)
k is the number of successes we are interested in (in this case, 2 of the workers being union members)
p is the probability of success (in this case, the probability that a worker is a union member)
(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))
Plugging in the values, we get:
\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)
\(= (6) * (0.96)^2 * (0.04)^2\)
= 0.04403136
Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
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5 times 100 times 105
Answer:
52500
Step-by-step explanation:
first do 5*105 to get 525 then mutiply by 100 to get 52500
identify rules of algebra with (x+3)-(x+3)=0
Taking any number x, and adding on its opposite -x, leads to x+(-x) = x-x = 0
This is the inverse property of addition.
A numeric example would be 7 + (-7) = 7-7 = 0
Going back to x-x = 0, we can replace x with any expression (whether simple or complicated) we want.
So in this case, we replace each 'x' with 'x+3' to get (x+3)-(x+3) = 0
The equation (x+3)-(x+3) = 0 has infinitely many solutions. The solution set is the set of all real numbers. We can replace x with any number and the original equation will simplify to a true statement.
the function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval s graphed below. What is the average rate of
mval-1≤x ≤2?
Average ROC is equal to 0, the average rate at which one item is changing in relation to another is known as the average rate of change.
How quickly does a function change on average?The average rate at which one item is changing in relation to another is known as the average rate of change. An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.
An average rate of change function, put simply, is a calculation that divides the amount of change in one thing by the corresponding amount of change in another.
Average ROC is equal to 0.
Slope is (y'-y) / (x'-x) and the average ROC is (f(b) - f(a)) / (b - a).
B = 6 f(b) = 10... x'=6, y'=10 where a = -3, f(a) = 10, x=-3, y=10 and b = 6, f(b) = 10...
Average ROC = (10–10) / (6–3) = 0–9 = 0.
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Which of the following is the equation of the line that is parallel to y = x + 8 and goes through point (- 10, 4)?
○ y = -x-12
○ y = //x+20²/
○ y = x + 10
○ y=-3x-2
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(y = \stackrel{\stackrel{m}{\downarrow }}{1}x + 8\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line whose slope is 1 and that it passes through (-10 , 4)
\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{ 1}(x-\stackrel{x_1}{(-10)}) \implies y -4= 1 (x +10) \\\\\\ y-4=x+10\implies {\LARGE \begin{array}{llll} y=x+14 \end{array}}\)
I NEED ANSWER ASAP PLEASE HELP ME
Given the convex hexagon, what is the value of x?
120°
(8x - 6)°
(7x)⁰
(5x-4)° (6x)
90⁰
The value of the variable x is 20
How to determine the value of the variableIt is important to note that the sum of the interior angles of a hexagon is expressed as;
(6-2)180
expand
720 degrees
Now, equate all the values to the total, we have;
120+ 7x + 8x -6 + 5x - 4 + 6x + 90 = 720
collect the like terms
7x + 8x + 5x + 6x = 720 - 120 + 6 + 4 - 90
Add or subtract the like terms, we get;
26x = 520
Now, make 'x' the subject of formula, we get;
26x/26 = 520/26
divide the values
x = 20
Hence, the value is 20
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A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
+
The amount of money Craig paid more than Tim if the shop has an offer of reduction if a particular amount is spent is £88.
How much more than Tim does Craig pay?The shop discount:
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
Cost of a shirt = £49
Tim buys 3 shirts
Total cost of Tim's shirt = £49 × 3
= £147
Amount Tim paid = £147 - £10
= £137
Craig buys 5 shirts
Total cost of Craig's shirt = £49 × 5
= £245
Amount Craig paid = £245 - £20
= £225
Difference between Tim and Craig's pay = £225 - £137
= £88
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Why early math is just as important as early reading
Answer:
Early math is just as important as early literacy; in fact, it can improve reading and writing skills. Kids who start with numerical skills even in infancy will do better with math when they reach school.
Which statement is true about liabilities but not expenses
A. They have a normal debit balance.
B. They are due in the period they are incurred.
C. They are on the company’s income statement
D. They are recorded when owed
Liabilities are recorded when owed.
The correct option is D.
What is liability?A liability is anything that a firm or person owes, usually a debt. With the transmission of economic benefits like money, products, or services, liabilities are eventually.
Given
Statement about liability
They are recorded when owed is true.
Liability, when owed by a company, is recorded on the balance sheet, liabilities include everything owed by the firm.
Different forms of liability are loans, rents, payable accounts, unsettled revenues, bonds, etc.
Hence, True statement about liabilities is that they are recorded when owed.
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Expand the logarithm fully using the properties of logs. Express the final answer in terms of \log x log x. log7x2
Therefore, the expansion of log(7x²) using the properties of logarithm is
log 7 + 2log x, expressed in terms of log x.
What exactly is a logarithm?The mathematical idea of a logarithm illustrates the opposite of a power. It follows that the exponential that must be multiplied by bc to get the value of a number, x, is equal to its ground logarithm. As an illustration, 1000 = 103, so log10 = 3 is 1000's base-10 logarithm, which is 3. As an example, the square of ten is now only one twentieth of the base-10 exponential of ten, which is two. Log 100 = 2. Mathematicians use the logistic (or log) notion to respond to problems like these.
Here,
Using the product rule of logarithms, we can write:
log(7x²) = log 7 + log(x²)
Using the power rule of logarithms, we can write:
log(7x²) = log 7 + log(x²) = log 7 + 2log x
Therefore, the expansion of log(7x²) using the properties of logs is:
log 7 + 2log x, expressed in terms of log x.
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PLS HELP HELP ME WITH a question pls
Step-by-step explanation:
d.
e +e+25=180°{sum of angle of triangle}
2e+25=180°
2e=155
e=155/2
e=77.5°
e.
55°+55°+f=180°{sum of angle of triangle}
f=180-110
f=70°
hope it helps.
help me answer this please
Answer:
3,952 ft
Step-by-step explanation:
Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.
sin8°=\(\frac{550}{c}\)
csin8°=550
c=550/sin8°
c= 3,952
Four scenarios of statistical studies are given below. Decide which study uses a sample statistic.
A sample statistic is the specific group that you will collect data from.
What is a sample statistic?A sample statistic is any number derived from your sample data. The sample average, median, sample standard deviation, and percentiles are some examples. Because it is based on data obtained through random sampling, which is a random experiment, a statistic is a random variable. As a result, a statistic is both known and random.
A population is an entire group about which you want to draw conclusions. A sample is the specific group from which you will collect data. The sample size is always less than the total population size.
A sample is an analytic subset of a larger population in statistics. The use of samples enables researchers to conduct studies with more manageable data and more quickly. Randomly drawn samples have little bias if they are large enough, but obtaining such a sample can be costly and time-consuming.
Note that an overview of sample was given as the information is incomplete.
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Anyone know how to solve 35 and 39 by chance?
Answer:
33. \(f^{-1}(7) = 6\)
34. \(f^{-1}(2) = 3\)
35. \(f(-8) = -4\)
36. \(f(-1) = -2\)
37. \(f(1) = 0\)
38. \(x = 7\)
39. \(f^{-1}(0) = 1\)
40. \(f^{-1}(3) = 7\)
Step-by-step explanation:
The inverse function \(f^{-1}(x)\) points back from f(x) to x, that is, if we have \(f(x) = y\), then we have that \(f^{-1}(y) = x\), and if we have \(f^{-1}(y) = x\), then we have \(f(x) = y\)
So we have that:
33.
\(f(6) = 7\)
\(f^{-1}(7) = 6\)
34.
\(f(3) = 2\)
\(f^{-1}(2) = 3\)
35.
\(f^{-1}(-4) = -8\)
\(f(-8) = -4\)
36.
\(f^{-1}(-2) = -1\)
\(f(-1) = -2\)
In the exercises from 37 to 40, we do the same above, but now using the values in the table given. So we have:
37.
if \(x = 1\), \(f(1) = 0\)
38.
if \(f(x) = 3\), \(x = 7\)
39.
We just need to find where f(x) = 0. If \(f(1) = 0\), \(f^{-1}(0) = 1\)
40.
We just need to find the value of f(7). If \(f(7) = 3\), \(f^{-1}(3) = 7\)
Which ordered pair is on the inverse of f(x)?
(–4, –2)
(–2, –2)
(–1, –2)
The range of the inverse of f(x) is
.
Answer:
(-1,-2)
because the inverse of (-4,-2) is (-2,-4) so when we simplify both number or when we divide by both numbers by 2 we get (-1,-2)
so the inverse of f(x) _ (-4,-2) is (-1,-2)
A ball is launched into the sky at 54. 4 ft./s from a 268.8 m tall building. The equation for the ball’s height, h, at time t second’s is h= -3.2t^2 + 54.4t+ 268.8. When will the ball strike the ground?
Answer:
t = 21
Step-by-step explanation:
The ball strikes the groujd when h = 0.
\(-3.2t^2 + 54.4t+268.8=0 \\ \\ 32t^2 - 544t-2688=0 \\ \\ t^2 - 17t-84=0 \\ \\ (t-21)(t+4)=0 \\ \\ t=-4, 21\)
Since time must be positive, t = 21.
the difference of a number and ninety; when a = 102
Answer:
Step-by-step explanation:
Write the expression as 90 – a.
or
Write the expression as a – 90.
Substitute 102 in for the variable, a.
Simplify by subtracting 90 from 102.
Simplify by dividing 102 by 90.
The answer is 1.13.
The answer is 12.