Answer:
\(f(f^{-1} (22))\) equals 22.
Step-by-step explanation:
For every input in a function, there will be one corresponding output. When taking the output of the function and inserting it as the input to the inverse function of the original, the output will be equivalent to the exact input of the original function. In this case, because \(f(7)=22\), that means \(f^{-1} (22)\) will equal 7. Using this knowledge, you can find the value of \(f(f^{-1} (22))\), which will be \(f(f^{-1} (22)) = f(7)=22\), so \(f(f^{-1} (22))\) equals 22.
Please help I need it and its urgent!!!!!!!! ABC= ADC,
Answer:
m<ACD = 143
Explanation:
Since the two triangles are congruent and <ACB corresponds to <ACD, <ACB and <ACD are congruent by CPCTC. Therefore m<ACD = 143 degrees as well.
(−2, 3), (8, −2), (10, −3), and (20, −8) is this non linear
What is the discriminant of the quadratic equation 1–22 – 9,0 – 9 = 0?
IM BAD MAN PLZ HELP I HATE MATH
<3
PQ is a straight line segment.According to the information marked in the figure, (I) Find the magnitude of PÔS. (ii) Find magnitude of SÔQ.
PLEASEEEEEEE HEELPPP!!
99 POINTS!! btw turn the attached picture upside down
Answer:
magnitude of PÔS = 60°
magnitude of SÔQ = 120°
note: a straight line has always 180°
solve for x:
PÔS + SÔQ = 180°3x + 2x + 80° = 180°5x = 180° - 80°5x = 100°x = 20°m∠POS
3x 3(20°)60°m∠SOQ
2x + 80°2(20°) + 80°40° + 80°120°So to find angle POS and SOQ we have to find value of x first.
\( \\ \)
\( \rm \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ \)
Reason:-
Sum of angles on same line.
By the way it can be any number of angles but they should meet at same point. And their sum is always 180°. Remember linear pair? It is also same aspect but there will be only two angles.
\( \\ \)
So:-
\( \\ \)
\( \dashrightarrow \sf \angle POS + \angle SOR + \angle ROQ = 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf 5x+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf 5x= 180 - 80 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf 5x= 100 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf x= \dfrac{100}{5} \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf x= \dfrac{5 \times 20}{5} \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf x= \dfrac{\cancel5 \times 20}{\cancel5} \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf x= \dfrac{1 \times 20}{1} \degree \\ \)
\( \\ \)
\( \dashrightarrow \bf x=20\degree \\ \)
\( \\ \\ \)
Verification:-\( \\ \)
\( \dashrightarrow \sf 3x + 2x+ 80= 180 \degree \\ \)
Put value of x
\( \\ \)
\( \dashrightarrow \sf( 3 \times 20) + (2 \times 20)+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf60 + (2 \times 20)+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf60 + 40+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \sf100+ 80= 180 \degree \\ \)
\( \\ \)
\( \dashrightarrow \bf180= 180 \degree \\ \)
LHS = RHS
HENCE VERIFIED!
\( \\ \)
Angle POS = 3xAngle POS = 3 × 20Angle POS = 60°Angle SOQ = 2x + 80Angle ROQ = 2 × 20 + 80Angle ROQ = 40 + 80Angle ROQ = 120°If P(B)=
4
1
,P(A∪B)=
2
1
and P(A∣B)=
3
2
, then which of the following statements is true? A) P(A)=
3
1
B) P(A∩B)=
12
1
C) P(B∣A)=
5
1
D) A and B are not independent.
None of the statements A, B, or C can be determined to be true based on the given information. we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.
To determine which statement is true, let's analyze the given information. We have:
P(B) = 4/1
P(A∪B) = 2/1
P(A|B) = 3/2
Let's evaluate each statement:
A) P(A) = 3/1
This statement is not directly supported by the given information. We cannot determine the value of P(A) solely based on the provided probabilities.
B) P(A∩B) = 12/1
This statement is also not supported by the given information. We do not have enough information to determine the value of P(A∩B).
C) P(B|A) = 5/1
This statement is not supported by the given information. We do not have any direct information about P(B|A), so we cannot determine its value.
D) A and B are not independent.
To determine whether A and B are independent, we can check if P(A∩B) = P(A) * P(B). However, as mentioned earlier, we do not have enough information to determine the value of P(A∩B). Therefore, we cannot conclude whether A and B are independent based on the given information.
In summary, none of the statements A, B, or C can be determined to be true based on the given information. The only conclusion we can draw is that we do not have enough information to determine the values of P(A), P(A∩B), or P(B|A) from the given probabilities.
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An observational study of suburban towns reveals that towns with more dedicated park land tend to have higher median home prices. A real estate agent suggests that a town’s crime rate is a more accurate predictor of median home price.
What is the confounding variable in this study?
the median home price
the crime rate
the distance from a large city
the median home size
Answer:
the median home size.
Step-by-step explanation:
In this scenario, the confounding variable would be the median home size. This is because this factor is both a cause and effect of the median home prices. A bigger house would obviously be worth more than a smaller house so the house size affects the prices of the homes in the market. At the same time, the median home sizes can also cause an increase or decrease in crime rates as criminals are more likely to target homes that seem as though they have more valuables inside.
Answer:
Crime rate
Step-by-step explanation:
b. if a is a 35 matrix and t is a transformation defined by t(x)ax, then the domain of t is .
For the matrix the true statement is given by option d. Both A and B are false.
Let's analyze each statement of the matrix as follow,
A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.
This statement is false.
The domain of the transformation T is not R⁵.
The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.
Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.
Therefore, the domain of T is R⁵, but rather a subspace of R⁵.
B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.
This statement is also false.
The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.
The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.
It is possible for a 3 times 2 matrix to have a rank of 2,
and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.
Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.
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The above question is incomplete, the complete question is:
Which of the following best characterizes the following statements:
A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5
B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto
a. Only A is true
b. Only B is true
c. Both A and B are true
d. Both A and B are false
The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.
A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?
Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.
The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.
Based on the given information from the graph, we can determine the following:
The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.
Then, there is a downward trend from 3.4 to 4 on the horizontal axis.
From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.
Therefore, the correct statement is:
Most of the songs were between 3 minutes and 3.8 minutes long.
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Answer:
A
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
Step-by-step explanation:
Im not so sure about this one but I think it is D
The most likely next step in the series is:
Blue color with 7 rays.
Option D is the correct answer.
What is a pattern in a series of figures?A series containing figures will have a pattern between each consecutive figure.
We have,
From the series,
First figure:
Blue color and 3 rays.
Second figure:
Red color and 5 rays
We can assume that the color alternates and the number of rays increases by 2.
So,
Third figure.
Blue color and (5 + 2) rays.
Thus,
Option D is the third figure in the series.
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In a pure resistive circuit, the phase angle between current and voltage is \( 3 \pi / 4 \) radians. \( \pi / 2 \) radians. \( 0 . \) \( \pi \) radians. \( -\pi / 2 \) radians.
The phase angle between the current and voltage in a pure resistive circuit is 0 radians.
How to determine the answer:In a pure resistive circuit, the phase angle between current and voltage is \(0\) radians.
This is because a pure resistive circuit has a voltage and a current in the same phase, which implies that the two are in phase.
To understand this, let's look at the two main parts of the question: a pure resistive circuit and the phase angle between current and voltage.
A pure resistive circuit is a circuit in which the only element is a resistor.
This means that the circuit does not contain any inductors or capacitors and, as a result, does not have any phase shift in the current or voltage.
The phase angle between current and voltage is the angle between the current and voltage waveforms in a circuit.
The angle is measured in radians and is positive for capacitive circuits and negative for inductive circuits.
In conclusion, the phase angle between current and voltage in a pure resistive circuit is \(0\) radians.
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wich of the following is the correct value of 0.22 0.4?
Answer: =0.088
Step-by-step explanation:
.....................
Answer:
I think it's B here's a graph:
Step-by-step explanation:
I really have no logic.
5) Convert 326.5 from Octal to Binary 6) Convert 3 A15 from Hexadecimal to Octal 7) Convert (103.23) from base six to base ten. 8) Convert (0.8542)10 from base 10 to binary (give answer to 3 digits). 9) Convert 0101110110.0110 from Binary to Decimal 10) Convert 0101001001.11011 from Binary to Octal 11) (27711456.1237)8=(?)16
Multiply the fractional part of the decimal number by 2 and keep track of the integral parts:
0.8542 * 2 = 1.7084 (integer part: 1)
0.7084 * 2 = 1.4168 (integer part: 1)
0.4168 * 2 = 0.8336 (integer
To convert 326.5 from Octal to Binary:
The octal number 326.5 can be converted to decimal first.
3 * 8^2 + 2 * 8^1 + 6 * 8^0 + 5 * 8^(-1)
3 * 64 + 2 * 8 + 6 * 1 + 5 * (1/8)
192 + 16 + 6 + 0.625
214.625 (in decimal)
Now, let's convert 214.625 from decimal to binary:
The integer part, 214, can be converted to binary by successive division by 2:
214 / 2 = 107 (remainder 0)
107 / 2 = 53 (remainder 1)
53 / 2 = 26 (remainder 1)
26 / 2 = 13 (remainder 0)
13 / 2 = 6 (remainder 1)
6 / 2 = 3 (remainder 0)
3 / 2 = 1 (remainder 1)
1 / 2 = 0 (remainder 1)
Reading the remainders from bottom to top gives us the binary representation of the integer part: 11010110.
The fractional part, 0.625, can be converted to binary by successive multiplication by 2:
0.625 * 2 = 1.25 (integer part: 1)
0.25 * 2 = 0.5 (integer part: 0)
0.5 * 2 = 1.0 (integer part: 1)
Reading the integer parts from top to bottom gives us the binary representation of the fractional part: 101.
Combining the binary representation of the integer and fractional parts, we get:
326.5 (in octal) = 11010110.101 (in binary)
To convert 3A15 from Hexadecimal to Octal:
First, convert the hexadecimal number to decimal:
3A15 = 3 * 16^3 + 10 * 16^2 + 1 * 16^1 + 5 * 16^0
= 3 * 4096 + 10 * 256 + 1 * 16 + 5 * 1
= 12288 + 2560 + 16 + 5
= 15029 (in decimal)
Convert the decimal number 15029 to octal:
Divide 15029 by 8 successively:
15029 / 8 = 1878 (remainder 5)
1878 / 8 = 234 (remainder 6)
234 / 8 = 29 (remainder 2)
29 / 8 = 3 (remainder 5)
3 / 8 = 0 (remainder 3)
Reading the remainders from bottom to top gives us the octal representation:
3A15 (in hexadecimal) = 35625 (in octal)
To convert (0.8542)10 from base 10 to binary:
Multiply the fractional part of the decimal number by 2 and keep track of the integral parts:
0.8542 * 2 = 1.7084 (integer part: 1)
0.7084 * 2 = 1.4168 (integer part: 1)
0.4168 * 2 = 0.8336 (integer)
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answere these
\((78)m \times (41) \sqrt[72]{83? \times} 47\)
answer these Po
\(\\ \tt\longmapsto 78m\times (41)\sqrt[72]{83\times 47}\)
\(\\ \tt\longmapsto 78m\times (41\sqrt[72]{3901}\)
\(\\ \tt\longmapsto 78m(41)(1.12)\)
\(\\ \tt\longmapsto 78m(45.92)\)
\(\\ \tt\longmapsto 3581.76m\)
1
Find the value of x.
117°
1940
to
Answer:
X= 23 degrees
Step-by-step explanation:
117 degrees minus 94 equals x
x=23
Question * Let D be the region enclosed by the two paraboloids z = 3x² + 12/²4 y2 z = 16-x² - Then the projection of D on the xy-plane is: 2 None of these 4 16 This option This option = 1 This opti
The correct option would be "None of these" since the projection is an ellipse and not any of the given options (2, 4, 16, or "This option").
To determine the projection of the region D onto the xy-plane, we need to find the intersection curve of the two paraboloids.
First, let's set the two equations equal to each other:
3x² + (12/24)y² = 16 - x²
Next, we simplify the equation:
4x² + (12/24)y² = 16
Multiplying both sides by 24 to eliminate the fraction:
96x² + 12y² = 384
Dividing both sides by 12 to simplify further:
8x² + y² = 32
Now, we can see that this equation represents an elliptical shape in the xy-plane. The equation of an ellipse centered at the origin is:
(x²/a²) + (y²/b²) = 1
Comparing this with our equation, we can deduce that a² = 4 and b² = 32. Taking the square root of both sides, we have a = 2 and b = √32 = 4√2.
So, the semi-major axis is 2 and the semi-minor axis is 4√2. The projection of region D onto the xy-plane is an ellipse with a major axis of length 4 and a minor axis of length 8√2.
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helpppppp asappp pleaseee
Answer:
1 = y=-2x
2= y= -1/2x-1
3= y= 1/2x+1
4= y-3x+2
Graph 1: \(y=3x+2\)
Graph 2: \(y=\frac{-1}{2} x+1\)
Graph 3: \(y=\frac{1}{2} +1\)
Graph 4: \(y=-2x\)
hope this helps....
Is y=2x+3 a direct variation, a inverse variaition, or neither?
Answer:
Step-by-step explanation:
a direct variation, b/c as X goes up, so does Y
Simplify using order of
operations.
2+2³ (7-1)
E
MD
AS
Enter
Answer: 50
Step-by-step explanation:
?
A company made 500 flashlights and found that 5 were defective. If the company makes 12,500 flashlights, how many do you predict will be defective
Answer:
25 Flashlights will be defective
Step-by-step explanation:
You have 500 every 5You need to figure out how many 500 there are in 12,500 So you have to divide 12,500 divided by 500=2525 Flashlights will be defectiveA nurse in a large university (N=30000) is concerned about students eye health. She takes a random sample of 75 students who don’t wear glasses and finds 27 that need glasses. What the point estimate of p, the population proportion? Whats the critical z value for a 90% confidence interval for the population proportion?
The critical z value for a 90% confidence interval for the population proportion is 1.645.
The point estimate of p, the population proportion, is 0.36 (27/75).
To find the critical z value for a 90% confidence interval for the population proportion, we use a z-table or calculator. The formula for the z-score is:
z = (x - μ) / (σ / √n)
where x is the sample proportion, μ is the population proportion (which is unknown), σ is the standard deviation (which is also unknown), and n is the sample size.
Since we don't know the population proportion or standard deviation, we use the sample proportion and standard error to estimate them. The standard error is:
SE = √[p(1-p) / n]
where p is the sample proportion and n is the sample size.
Using the values given in the question, we have:
SE = √[(0.36)(0.64) / 75] = 0.069
To find the critical z value, we look up the z-score that corresponds to a 90% confidence interval in the z-table or calculator.
The z-score is approximately 1.645.
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Need help anyone know how to do this
please help me i need it
Answer:
It is 9
Step-by-step explanation:
Answer:
ur answer is 4
Step-by-step explanation:
An airplane pilot over the Pacific sights an atoll at an angle of depression of 5° At this time, the horizontal distance from the airplane to the atoll is 4629 meters. What is the height of the plane to the nearest meter?
====================================================
Explanation:
The angle adjacent to the 5 degree angle is 90-5 = 85 degrees
Or you could note that 85+5 = 90.
Then from here you'd use the tangent ratio
tan(angle) = opposite/adjacent
tan(85) = 4629/x
x*tan(85) = 4629
x = 4629/tan(85)
x = 404.985 approximately
x = 405 meters when rounding to the nearest whole number.
Triangle R is a right triangle. Can we use two copies of Triangle
R to compose a parallelogram that is not a square? Explain your
reasoning.
R.
R.
Answer:
Sjhdhdnjsuemshusushdj
Step-by-step explanation:
now yte don't do this because then you will be reported and people really want to learn and STEAL THESE ANSWERS pop it's time for my class brb but don't do this if you don't know the answer don't put it in or you will, be reported. Time for P.E and sorry.
What is 6 out of 120 expressed as a percentage
if the number of hot lunches sold at school this week was 1,350 and the relative frequency on friday was 0.22, how many lunches were sold on friday?
296 hot lunches were sold on Friday.
The number of hot lunches sold on Friday can be calculated by multiplying the total number of hot lunches by the relative frequency on Friday:
Hot lunches sold on Friday = 1,350 * 0.22 = 296
What is Relative frequency ?Relative frequency is a measure of the number of times an event occurs in a sample, expressed as a proportion of the total number of events. To find the number of hot lunches sold on Friday, we multiply the total number of hot lunches sold in the week by the relative frequency of Friday. This gives us the number of hot lunches sold on Friday, which is 296 in this case. Understanding relative frequency is important in statistics as it helps to summarize data and understand the distribution of events.
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QS−→ bisects ∠PQR and m∠RQS = 71°. Find m∠PQS and m∠PQR.
The angle PQS is 71 degrees and the angle PQR is 142 degrees.
What is an angle bisector?The line or line segment that divides an angle into two equal pieces is known as the bisector of an angle, also known as the internal angle bisector. The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
Given that line, QS is bisecting the angle PQR into two angles RQS and PQ. The angle bisector bisects the two angles into two equal halves.
PQR = RQS
PQS = 71 degrees
PQR = PQR + RQS = 142 degrees
Therefore, the angle PQS is 71 degrees, and the angle PQR is 142 degrees.
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Solve v^2+2v=0 by factoring
\(\large \mathfrak{Solution : }\)
let's factorise :
\( {v}^{2} + 2v = 0\)\(v(v + 2) = 0\)now, there are two cases :
case 1 :
\(v = 0\)case 2 :
\(v + 2 = 0\)\(v = - 2\)BRAINLEST!!! 30 points!!!!!!
Directions: Select the correct answer from each drop-down menu.
Brad wanted to determine what type of cereal middle school students in his school preferred.
If Brad only surveyed Ms. Coe's seventh grade math class, the results of the survey would be..
valid or invalid?
If Brad only surveyed every fourth middle school student who rode the school bus in the morning, the results of the survey be
Invalid or valid?
If Brad only survkyed every tenth student on the school roster, the results of the survey be
Valid or invalid?
Answer:
If Brad only surveyed Ms. Coe's seventh grade math class, the results of the survey would be..
invalid
If Brad only surveyed every fourth middle school student who rode the school bus in the morning, the results of the survey be
valid
If Brad only survkyed every tenth student on the school roster, the results of the survey be
valid
can i have brainliest pls i need vertuoso
Step-by-step explanation:
Answer:
1. Invalid
2. Valid
3. Not sure about this one
Step-by-step explanation: