Answer:
✔ less than
Step-by-step explanation:
The measure of angle ACB is less than the measure of the angle AOB.
GIven,
Making the conjecture.
What would happen to the angle formed if the vertex of angle AOB was moved from the center to point C, which lies on the circle is to be justify.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r². where h, k is the coordinate of the circle's center on coordinate plane and r is the circle's radius.
Here, there is a property of pair of lines,
when two lines intersect each other they hold some angle of intersection with each other, when the angle of intersection increases, assuming a point says the point of intercession getting close to the points then angle of the intersection will increase. If the point of intersection gets far away from that point, the angle of the intersection will decrease.
Similarly, in the given problem point O is close to the arc AB than C. Implies Angle ACB is smaller than Angle AOB.
Thus, the measure of angle ACB is less than the measure of the angle AOB.
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Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Approximate 5.7255 to the nearest thousand
round 5.7255 to thousands place
place after thousands place (5) rounds up the 5 before it
therefore 5.726 ur ans
MARK above ANS as branliest
I dont get this question could someone help me out i will mark brainliest include steps!
Answer:
12.5
Step-by-step explanation:
In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9
Note MK = 2 * MN, so
2x + 9 = 2 * (3x + 1)
expand:
2x + 9 = 6x + 2
Solve:
9 - 2 = 6x - 2x
4x = 7
x = 7/4
MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5
Sarah loaded 4 trucks in 15 minutes. At that rate, how many trucks would she load in 5 hours?
The data set below has 7 values.
Find the mean absolute deviation for the data set.
If necessary, round your answer to the nearest hundredth.
22, 16, 20, 21, 23, 17, 14
Answer:
19
Step-by-step explanation:
First, You want to add all of the data below and you get 133 and with that data you divide 133 by 7 because you have 7 values. I hope i'm right and have a great day :)
Question 6
A bug crawls at a rate of 2 feet per minute. How long will it take the bug to crawl 25 ft?
PLEASE HELPPPP!!!!!!!!!!!!
hi please help im giving full points and brainliest:) Let y = 2(x – 3)2 – 6.
Part A: Is the given relation a function? Is it one-to-one? Explain completely. If it is not one-to-one, determine a possible restriction on the domain such that the relation is one-to-one. (5 points)
Part B: Determine y–1. Show all necessary calculations. (5 points)
Part C: Prove algebraically that y and y–1 are inverse functions. (5 points)
Answer/Step-by-step explanation:
Part A:
Yes, the given relation is a function
No, the given is not one-to-one.
The given relation is a function: True
The given one-to-one function: False
For the domain (3, + ∝) or the domain (- ∝,3)
the relation is one-to-one.
Part B:
\(y=2(x-3)^2-6\)
\(y+6=2(x-3)\)
\((x-2)^1=\frac{y}{2}+3\)
\(x-2=\) ±\(\sqrt{\frac{y}{2}+3}\)
\(x=\) ± \(\sqrt{\frac{y}{2}+2+2}\)
So, \(y^-^1=\) ± \(\sqrt{\frac{x}{2}+3}+3\)
Part C:
\(y(y^-^1)=2(\)±\(\sqrt{\frac{x}{1}+3+3-3)^2-6}\)
\(=2(\frac{x}{2}+3)-6\)
\(x+6-6=x\)
So y and y^-^1 are inverse function.
[RevyBreeze]
3.7.2 checkup geometry practice problems
According to triangle proportionality theorem:If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
What is the length of DF?1. AABC ~ ADEF: AABC ~ ADEF by the Side-Angle-Side (SAS) Similarity Theorem.2. What is the length of DF? EF?: DF = (EF)*(AB/DE).3. What is the length of DF?: DF = (EF)*(AB/DE) = (EF)*(3/5) = (3/5)*EF.4. What is the length of DF? EF?: DF = 10 and EF = 6.5. What is the length of AD?: AD = (AB)*(DE/AB) = (AB)*(5/3) = (5/3)*AB.6. What is the length of DF?: DF = (3/5)*EF = (3/5)*6 = 3.6.7. What is the length of BC?: BC = (AB)*(EF/DE) = (AB)*(6/5) = (6/5)*AB.8. What is the length of EF?: EF = 10 and DF = 6.9. What is the length of AB?: AB = (AD)*1. AABC ~ ADEF is the Proportionality Theorem. 2. AABC ~ ADEF is the Side-Side-Side Similarity Theorem.3. AABC ~ ADEF is the Angle-Angle-Side Similarity Theorem.4. DF = 5EF5. CF = 10EF6. DF = 107. AB = 10EF8. BC = 15EF9. AC = 25EF10. AE = 5EFTo learn more about the Proportionality Theorem refer to:
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640 rounded to the nearest tens
Answer:
It's already rounded - the ones place is a 0
Gavin and Eric each ate 1/4 of a pizza. Megan ate 1/3 of what was left. How much pizza did Megan eat?
A) 1/2
B) 1/3
C) 1/6
D) 1/7
find an equivalent equation in rectangular coordinates
r sin theta = 10
The equivalent equation of r sinθ = 10 in rectangular coordinates is y² + y⁴/x² - 100 = 0.
What are the rectangular coordinates?
The rectangular coordinates is calculated from the polar equation as follows;
r sinθ = 10
the conversion from polar to rectangular coordinates;
r² = x² + y²
r = √(x² + y²) ----- (1)
y/x = tanθ ------ (2)
r sinθ = 10
√(x² + y²)(y/x) = 10
(x² + y²)(y²/x²) = 100
y² + y⁴/x² = 100
y² + y⁴/x² - 100 = 0
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What fraction with a denominator of 100 is equivalent to 0.43?
Answer:
\(\frac{43}{100}\)
Step-by-step explanation:
Think of it as a percentage. 43% is \(\frac{43}{100}\) , but it is also 0.43. Any number over 100 will be put into a similar decimal format (\(\frac{12}{100}\) = 0.12 and \(\frac{4}{100}\) = 0.04)
The fraction with a denominator of 100 is equivalent to 0.43 is,
\(\frac{43}{100}\).
Here,
We have to find fraction with a denominator of 100 is equivalent to 0.43.
What is Fraction?
A fraction is used to represent the portion/part of the whole thing.
Now,
Let a fraction with a denominator of 100 is \(\frac{x}{100}\).
And, its equivalent to 0.43.
Hence,
\(\frac{x}{100} = 0.43\)
\(x = 43\)
So, A fraction with a denominator of 100 is \(\frac{43}{100}\).
Which is equivalent to 0.43.
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Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
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NEED HELP ASAP FREE BRAINLIST
Answer:
H
Step-by-step explanation:
I hope this helps.
The combination lock has three wheels each numbered from 0 to 9 what is the possibility that someone randomly guesses the correct combination in five attempts?
The possibility that someone randomly guesses the correct combination in five attempts is 1/200
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Given;
There are three wheels
Each numbered from 0 to 9
For the first wheel, you have 10 possible digits.
For the second wheel, you have 10 possible digits.
For the third wheel, you have 10 possible digits.
10 x 10 x 10 = 1000
For 5 attempts= 5/1000
=1/200
Therefore, the probability will be 1/200
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Next assume that Mr. Hyper Chonder cannot get perfect information, but that he can consult a doctor. After a medical exam, the doctor evaluates Mr. Hyper Chonder as fit or unfit for travel. Mr. Hyper Chonder believes that if the doctor finds that he will stay healthy, there is an 80 percent chance that the doctor also evaluates him as fit to travel and a 20 percent chance that he evaluates him as unfit to travel. These subjective conditional probabilities are: P(Fit Healthy) = 0.8 P(Unfit Healthy) = 0.2 Likewise, Mr: Hyper Chonder believes that if the doctor finds that he will become sick, there is still a 40 percent chance that the doctor evaluates him as fit to travel and a 60 percent chance that he evaluates him as unfit to travel. These subjective conditional probabilities are: P(Fit | Sick) = 0.4 P(Unfit Sick) = 0.6 - Fit p(Fit Healthy)=0.8 Healthy 120 p(Healthy)-0.25 Travel Unfit p(Unfit Healthy)=0.2 Fit p(Fit | Sick)=0.4 Sick -40 p(Sick)=0.75 Home 20 Unfit p(Unfit | Sick)=0.6 With which probability does Mr. Hyper Chonder expect to receive a "Fit for travel" evaluation, which is P(Fit)= 0.25 0.5 0.75 None of the above. With which probability does Mr. Hyper Chonder expect to receive an "Unfit for travel" evaluation, which is P(Unfit)= O 0.25 0.5 0.75 None of the above. Assume that the doctor tells Mr. Hyper Chonder that he is fit for travel, which probability does Mr. Hyper Chonder now assign to staying healthy, which is P(Healthy Fit) = 0.3 00.4 0.5 n Assume that the doctor tells Mr. Hyper Chonder that he is unfit for travel, which probability does Mr. Hyper Chonder now assign to staying healthy, which is P(Healthyl Unfit) = O 0.05 O 0.1 0 0.2 00.4 Assume that the doctor tells Mr. Hyper Chonder that he is unfit for travel, which probability does Mr. Hyper Chonder now assign to getting sick, which is P(Sick | Unfit) = 0.3 O 0.6 O 0.9 0.95 Assume the doctor tells Mr. Hyper Chonder that he is fit to travel, what will Mr. Hyper Chonder do? He will travel and expect 24 utils He will travel and expect 28 utils He will travel and expect 32 utils He will not travel. Assume the doctor tells Mr. Hyper Chonder that he is unfit to travel, what will Mr. Hyper Chonder do? He is now indifferent between travelling and staying home He will travel and expect 22 utils He will travel and expect 24 utils He will not travel.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect 28 utils, and if the doctor tells him that he is unfit for travel, he will not travel and expect 24 utils.
Mr. Hyper Chonder expects to receive a "Fit for Travel" evaluation with a probability of P(Fit) = 0.25 and an "Unfit for Travel" evaluation with a probability of P(Unfit) = 0.75. He believes that if the doctor finds that he will stay healthy, there is a P(Fit Healthy) = 0.8 chance of being evaluated as fit to travel and a P(Unfit Healthy) = 0.2 chance of being evaluated as unfit to travel. If the doctor finds that he will become sick, there is a P(Fit | Sick) = 0.4 chance of being evaluated as fit to travel and a P(Unfit | Sick) = 0.6 chance of being evaluated as unfit to travel.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he assigns a probability of P(Healthy | Fit) = 0.8 to staying healthy. If the doctor tells him that he is unfit for travel, he assigns a probability of P(Healthy | Unfit) = 0.2 to staying healthy and a probability of P(Sick | Unfit) = 0.8 to getting sick.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect a utility of 28 utils. If the doctor tells him that he is unfit for travel, he will not travel and expect a utility of 24 utils.
If the doctor tells Mr. Hyper Chonder that he is fit for travel, he will travel and expect 28 utils, and if the doctor tells him that he is unfit for travel, he will not travel and expect 24 utils.
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Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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If a crumb topping is made with a ratio by weight of 3 parts brown sugar, 2 parts flour, and 1 part butter, how many pounds of crumb topping can be made with 16 ounces of butter?
Answer:
18 poundds
Step-by-step explanation:
Simplify, if possible.
8ab² +3ab+2a-3b+5
A. The expression is in its simplest form.
B. -10ab² +5
2
C. 8ab² + 2ab +5
D.
8ab²-3ab+5
Please select the best answer from the choices provided
Answer:
A. The expression is in its simplest form.
Step-by-step explanation:
Answer:
i tried this i think the answer is 11a plus 2a subract3b ppus 5
Complete the solution of the equation. Find the value of y when x equals 2. -8x - 5y = -1 Enter the correct answer. DOA DONE ?
Answer: -3
Step-by-step explanation:
-8x - 5y = -1
-8(2) -5y = -1
-16 -5y = -1
-5y = 15
y = -3
If the mass of a proton is 1.67 × 10-24 gram, what is the mass of 2,000 protons?
Answer:
3.34 * 10^-21 g
Step-by-step explanation:
1.67*10^-24 * 2000 = 1.67 * 10^-24 * 2 *10^3 = 3.34 * 10^-21 g
Find the area of the trapezoid.
( The answer 10.5 is not correct )
Answer:
42 units
Step-by-step explanation:
Area of a trapezoid is always 1/2(b1+b2)*h
so here base 1 is 4 units, and base 2 is 10 units. When we add these we get 14, divided by 2 which is 7, and multiplied by height of 6, which is 42
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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solve the compound inequality 2x>-10 and 9x<18
Answer:
x = 1
Step-by-step explanation:
2 x \(x\) = 10
10 > -10
9 x \(x\) = 9
9 < 18
Elroy enjoys roller skating and weight training. Let X represent the number of hours he spends roller skating weekly,
and let y represent the number of hours he spends weight training weekly. The mean of X is 5 hours, and the mean
of Y is 7 hours. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?
Answer:
\(\mathbf{\mu_S = 12 }\); \(\text{Elroy can expect to roller skate and weight train, on average, 12 }\)\(\text{hours in a typical week.}\)
Step-by-step explanation:
Given that:
The mean \(\mu_X = 5\)
The mean \(\mu_Y = 7\)
Where;
\(S= X+ Y\)
\(\mu_S = \mu _X + \mu_Y \\ \\ \mu_S = 5+7 \\ \\ \mu_S = 12\)
Thus;
\(\mathbf{\mu_S = 12 }\);\(\text{ Elroy can expect to roller skate and weight train, on average, 12 }\)\(\text{hours in a typical week.}\)
Answer:
C ♡♡
Step-by-step explanation:
jus took the quiz !!!
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Elyas is on holiday in Greece.
He wants to buy a pair of sunglasses for €90
The exchange rate is €1 = £0.875
Elyas says, "The sunglasses cost less than £70"
Using a suitable approximation, show that Elyas is wrong.
Answer:
To convert euros to pounds, we have to multiply the amount in euros by the exchange rate. So, the sunglasses cost 90 * 0.875 = 78.75 pounds.
To use a suitable approximation, we can round the exchange rate to the nearest hundredth, which is 0.88. This makes the calculation easier and gives a close estimate of the actual value.
Using the rounded exchange rate, the sunglasses cost 90 * 0.88 = 79.2 pounds.
We can see that both the exact and the approximate values are greater than 70 pounds, so Elyas is wrong. The sunglasses cost more than 70 pounds
Step-by-step explanation:
Which of the following sentences show correct verb tense usage? Check all that apply. When the facilitator announced a bathroom break, the seminar participants took out their iPhones and begun checking their messages a The overall outlook is favorable, so I wrote to the board chair to inform him. She has wrote him an e-mail
The sentence which show correct verb tense usage is The overall outlook is favorable.
Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.
Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.
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13. Consider the two repeating decimals shown
below.
0.31313131...
0.02020202...
a. By simply looking at the decimal
representations, what is the sum of these
two rational numbers? Write as a decimal
and as a fraction.
b.
Verify your answer by finding fractions that
represent each decimal. Add the fractions.
c. Write the difference of the two numbers as a
repeating decimal.
1) The decimal 0.31313131...as a fraction is; 310/990
2) The decimal 0.02020202 as a fraction is; 200/9990
3) The difference of the two numbers as a repeating decimal is; 0.29292929
How to change decimal to fractions?We are given the decimals as;
0.31313131...
0.02020202...
1) The decimal 0.31313131... is repeating decimal.
If we write it as;
x = 0.31313131...
Multiply both sides by 10 to get;
10x = 3.131313 --- (1)
Multiply both sides of initial equation by 1000 to get;
1000x = 313.131313 ----(2)
Subtract eq 1 from eq 2 to get;
990x = 310
x = 310/990
2) The decimal 0.02020202 is a repeating decimal.
If we write it as;
x = 0.02020202...
Multiply both sides by 100 to get;
10x = 2.020202 --- (1)
Multiply both sides of initial equation by 10000 to get;
10000x = 202.0202 02 ----(2)
Subtract eq 1 from eq 2 to get;
9990x = 200
x = 200/9990
3) The difference of the two numbers as a repeating decimal is;
0.31313131 - 0.02020202 = 0.29292929
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Which of the following is a Pythagorean Triple?
A 2,3,4
B 5,6,7
C 3,4,5
D 8, 16, 17
Answer:
C) 3, 4, 5
Step-by-step explanation:
The rule for Pythagorean Triple is:
\( {a}^{2} + {b}^{2} = {c}^{2} \)
3, 4, 5 is one of the most commonly known triple and it proves the triple rule since
\( { 3}^{2} + {4}^{2} = {5}^{2} \)