Angle BAP is equal to angle CPD, so the value of arc BC must be equal to arc CD.
What is the proof that arc BC is equal to arc CD?To prove that arc angle BC to be equal to arc angle CD we will use the following steps;
Let's label angle BAP = x
Let's label angle CPD = y
Since line AB is parallel to line PC, we can conclude the following;
∠ x = ∠ y ( corresponding angles of intersected parallel lines)
arc BC = ∠ x ( intersecting chord angle at center)
arc CD = ∠ y ∠ x ( intersecting chord angle at center)
Since ∠ x = ∠ y, then arc BC must be equal to arc CD. Hence proved.
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Select the true statement.
Answer: D) 54 inches = 1 1/2 yards
explanation: 1 1/2 yards = 54 inches.
a student ran out of time on a multiple choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer what is the probability that he answered neither of the problems correctly
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = Number of problems correctly answered by a student.
The above situation can be represented through binomial distribution;
\(P(X=r)=\binom{n}{r}\times p^{r}\times (1-p)^{n-r};x=0,1,2,3,....\)
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p = \(\frac{1}{4}\) = 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) = \(\binom{2}{0}\times 0.75^{0}\times (1-0.75)^{2-0}\)
= \(1 \times 1\times 0.25^{2}\)
= 0.0625
The graph to the right is the uniform probability density function for a friend who is x minutes late. (a) Find the probability that the friend is between 10 and 30 minutes late. (b) It is 10 A.M. There is a 20% probability the friend will arrive within how many minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?
The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.
The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.
The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.
Therefore, the probability of the friend being between 10 and 30 minutes late is:
P(10 < x < 30) = (height of rectangle) x (width of rectangle)
= (1/30) x 20
= 2/3
≈ 0.6667
So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.
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What is the value of x in the picture below?
Create a table of values to show that the exponential expression 2^x eventually overtakes the quadratic expression 8x^2
The exponential function, 2ˣ, eventually overtakes the quadratic function 8·x², when 2ˣ = 8·x², such that at x = 10, 2ˣ > 8·x². Please see the required table in the following section
The shape of a quadratic function is a parabola
An exponential function is a function in which the input variable is an exponent.
The table of values, obtained by creating equations using MS Excel spreadsheet can be presented as follows;
x \({}\) 2ˣ 8·x²
0 \({}\) 1 0
1 \({}\) 2 8
2\({}\) 4 32
3\({}\) 8 72
4\({}\) 16 128
5\({}\) 32 200
6\({}\) 64 288
7 \({}\) 128 392
8\({}\) 256 512
9\({}\) 512 648
10\({}\) 1024 800
11\({}\) 2048 968
The shape of a quadratic function is called a parabola
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Find the equation of the line with slope - 7 and passing through (-10,4). Write your equation in point-slope
AND slope-intercept forms.
Answer:
y-4=-7(x-(-10))
y=-7x-66
Step-by-step explanation:
Si una mosca real tiene una longitud de 9mm y su maqueta mide 18cm.cual a q escala se realizo la maqueta
The scale factor used is:
1 centimeter equals half millimiter.
How to find the scale factor?The scale factor tells us how many units in the sculpture represent a real unit.
We know that:
Real length = 9mm
Length in the sculpture = 18cm
Then we have the relation between the lengths:
18cm = 9mm
Dividing both sides by 18 we will get:
1cm = 9mm/18
1cm = 0.5mm
So the scale is 1 centimeter equals half millimiter.
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Work out the value of
6.105 x 10
3.7 x 10
Give your answer in standard form.
Answer:
165000
Step-by-step explanation:
1,6×
\( {10}^{5} \)
165000
Answer:
165000=1.65 x 10^5
HELP ASAP WILL GIVE BRAINLIEST AND 100 PTS
Using equations we can solve for y, using the value of x as follows:
x = 1 is, y =4
x = 2 is, y = 7
x = 3 is, y = 10
x = -1 is, y = -2
The missing ordered pairs are:
(2, 7)
(3, 10)
(-1, -2)
Define equations?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right are shown to be equal in reference to one another. All equations in mathematics start with LHS = RHS (left hand side = right hand side).
The value of an unknown variable, which equates to an unidentified quantity, can be determined through solving equations. In the absence of a "equal to" symbol, the statement is not an equation. That shall be taken into account as an expression.
here, the given equation is:
y = 3x + 1
Now putting the different values of x in the equation we can get the
respective values of y.
y = 3 × 1 + 1
⇒ y =4
So, when x = 1, y = 4
Similarly,
When x = 2, y = 7
When x = 3, y = 10
When x = -1, y = -2
Hence, the ordered pairs are: (2, 7), (3, 10) and (-1, -2).
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A train travels 18 kilometers in 12 minutes. At this rate, how far does the train travel in 1 minute?
kilometer(s) per minute
Answer:
1.5
Step-by-step explanation:
You borrow $1400 from a friend and promise to pay back
$2000 in two years. What simple interest rate, to the nearest
tenth of a percent, will you pay?
Answer:
21.4%
Step-by-step explanation:
You would pay back a 21.4%
The simple interest rate on the loan of $1400 is approximately 21.4% per year.
What is the simple interest rate of the loan?The simple interest can be expressed as:
A = P( 1 + rt )
Where A is accrued amount, P is the principal, r is the interest rate and t is time.
Given the parameter:
Principal P = $1400
Accrued amount A = $2000
Time t = 2 years
Interest rate r =?
Plug these values into the above formula and solve for the interest rate.
A = P( 1 + rt )
\(r = \frac{1}{t} * ( \frac{A}{P} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = \frac{1}{2} * ( \frac{2000}{1400} - 1 ) \\\\r = 0.21428\)
Convert r decimal to R a percentage
R = 0.214 × 100
R = 21.4% per year
Therefore, the rate is approximately 21.4% per year.
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24. Name a point on ∠MNO
Only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
In the given question we have to name a point on ∠MNO.
As we know that;
Evaluating the number of points in the curve of the triangle's vertices that are close to the location in question is the easiest method for determining whether a point is inside a triangle. The point on the curve is inside the triangle if it has three points; if it has four, it is outside the triangle.
When we check in the graph then only point Q is on the ∠MNO because when we connect the point M and O then point R lies outside the ∠MNO. Only point Q remains inside.
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Which of the following criteria is required to ensure
communication competence?
A. The message achieves the intended effect
B. The message is grammatically correct
C. the message is free from too much emotion
D. the message is well received
Subject: Professional Communication
the criteria is required to ensure communication competence is The message achieves the intended effect. Option A
What is communication competence?Communicative competence is simply described as the ability to achieve communicative goals in an appropriate and socially way.
It is well organized and goal-oriented, this means that it involves the ability to evenly select and apply skills that are appropriate and are also effective in a given context.
The different components of communication competence are;
Grammatical competencesociolinguistic competencediscourse competencestrategic competence.Hence, the message should always be effective for the context.
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How do the slopes of lines that are perpendicular to each other compare?
Answer:
they create 90* angles on the graph
Factor the expression. 35g2 - 2gh - 24h2
Answer:(7g-6h)(5g+4h)
Step-by-step explanation:
35g^2-2gh-24h^2
35g^2+28gh-30gh-24h^2
7g(5g+4h)-6h(5g+4h)
(7g-6h)(5g+4h)
an outdoor theater currently has 1,375 ft next year 125 news seats will be added there will be 25 ft in each row after the new seeing has been added how many rows would a theater have after the new seats have been added?
The total number of rows in the Theater after 125 seats are added is 60 rows.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The Outdoor theater currently has 1,375 seats.
If we add 125 new seats then the number of seats are
= 1375 + 125
= 1500
Each row have 25 seats in one row.
Then, the total number of rows in Theater
= 1500/25
= 60 rows.
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- 16 + ( - 12 ) - ( - 40 )
Answer:
12
Step-by-step explanation:
Its 12 because when you do -16 + - 40.... then -12 you get =12 There you go
Step-by-step explanation:
Solution ,
Firstly we need to understand that
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( - )
( - ) × ( + ) = ( - )
( + ) × ( - ) = ( - )
Question:
- 16 + ( - 12 ) - ( - 40 )
here ( + ) × ( - ) = ( - )
= - 16 - 12 - ( - 40 )
here ( - ) × ( - ) = ( + )
= - 28 + 40
here the ( + ) has greater variable so....
= + 12
hence 12 is the answer....
Each day, a zoo sells 8400 special admission passes to visitors. The passes allow these visitors to enter the park early. The number of visitors who pay the normal entry fee has been decreasing by 7% each day. Today, 56,000 visitors paid the normal entry fee. Which function represents what the total number of visitors to the zoo will be after x days?
A. f(x)=56,000(0.93)x+8400
B. f(x)=56,000(0.93)x
C. f(x)=56,000(0.07)x
D. f(x)=56,000(0.07)x+8400
9514 1404 393
Answer:
A. f(x)=56,000(0.93)x+8400
Step-by-step explanation:
The growth rate is -7%, so the growth factor will be 1 -7% = 0.93. This is the base of the exponential term.
The 8400 special passes will add 8400 visitors to the park in addition to those who pay the regular fee. Thus the number of visitors is ...
f(x) = 56,000(0.93^x) +8400 . . . . matches choice A
B. If the parents spent a total of $400 on everything for the party, how much more did they spend in addition to what was spent in parts (a) and (b)?
Part A answer of how much they spent was 64.50
Part B the answer of what they spent was 23.88
Answer:
311.62
Step-by-step explanation:
add a and b then subtract it by 400 there is ur answer my friend
Answer:
Plz mark me brainlest!
Step-by-step explanation:
311.62 Because I added that total and I got 551.78, and that doesn't make's sesne so I founded another answer for it and it's 331.62
Answer
331.62
Hope this helps you!
combine like terms
8x+3-5x+9
a. 3x+12
b.-13x-12
c.13x+12
d.3x-6
Answer:
A. 3x+12
Step-by-step explanation:
8x+3-5x+9
8x-5x=3x
3+9=12
then put them together
3x+12
answer= A
pls help me anyone pls
Answer: firstly lol, Secondly the answer is 60 for each side cuz it’s equal
Step-by-step explanation:
Verify 18×(7×(-3)=18×7+18×(-3)
Is LHS= RHS ?
\(18*(7*(-3))=18*7+18*(-3)\\18*-21=126 - 54\\-378 \neq 72\)
LHS \(\neq\) RHS
Answer :
To verify an equation, we need to see if the LHS = RHS.
Equation \(\downarrow\)
\(18\times(7\times(-3))=18\times7+18\times(-3)\)
Let's solve the left hand side (LHS) first.
\(18\times(7\times(-3))\\= 18 \times (-21)\\=\underline{ -378}\)
Now, let's solve the right hand side (RHS).
\(18\times7+18\times(-3)\\= 126 - 54\\=\underline {72}\)
But,
\(\boxed{-378 \neq 72}\)
We can see that the LHS doesn't match or isn't equal to the RHS.
Hence, we can say that LHS \(\neq\) RHS & the equation is NOT true.
\(\rule{150pt}{2pt}\)
How many multiples of both 2 and 5 are there in between 34 and 417?
The number of multiples of both 2 and 5 that are there between 34 and 417 is given as follows:
39.
How to obtain the multiples?The rules for the multiples of 2 and 5 are given as follows:
Multiples of 2: numbers finished in 0, 2, 4, 6, 8.Multiples of 5: numbers finished in 0 and 5.Hence the numbers that are multiples of both 2 and 5 finish in zero, which are the multiples of 10.
Then the divisions are given as follows:
417/10 = 41. -> integer part.34/10 = 3 -> integer part.Hence the number of multiples is given as follows:
41 - 3 + 1 = 39.
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3 3/5 divided by 4 3/8
Answer:
34.2 or 34/2
Step-by-step explanation:
Answer:
34.2
Step-by-step explanation:
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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» Use unit cubes to find the volume of the rectangular prism.
Complete the sentence.
There are
cubes in each layer
layers.
The volume of the rectangular prism based on the assumed values will be 640 inches³.
How to calculate the volumeIt should be noted that to find the volume of a rectangular prism, we have to multiply the length of the prism by the width of the prism by the height of the prism.
Let's assume that the base length of a rectangular prism is 8 inches, the base width is 5 inches and the height of the prism is 16 inches, as we want to find the volume of the rectangular prism.
The volume of the rectangular prism formula, the volume of rectangular prism = length × width × height of the prism
= 8 × 5 × 16
= 640 cubic inches.
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The volume of the polyhedron is ______ cm3.
Answer:
Volume = 144 cm³
Step-by-step explanation:
Volume of the polyhedron = volume of triangular prism = ½*b*h*l
Where,
b = 4 cm
h = 6 cm
l = 12 cm
Substitute
Volume = ½*4*6*12
Volume = 144 cm³
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Answer:
he could by 2 pounds and still have a dollar left over because
15 11 6
-4 -5 -5 so yeah
11 6 1
(01.01 LC)
What kind of operating system is MS-DOS?
Answer:
Microsoft Disk Operating System
Step-by-step explanation:
Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ?
Answer:
980 intervals.
Step-by-step explanation:
For each interval, there are only two possible outcomes. Either it captures the population mean, or it does not. One interval is independent of other intervals. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
\(E(X) = np\)
98% confidence interval
Has a 98% probability of capturing the population mean, so \(p = 0.98\)
1000 intervals
This means that \(n = 1000\)
How many of these 1000 intervals do you expect to capture the corresponding value of μ?
\(E(X) = np = 1000*0.98 = 980\)
980 intervals.