Find the minimum and maximum value for the function with the given domain interval
Answers
For the function m(x) = log2(2) on the domain interval [8, 22], the minimum value and maximum value are both 1.
The function m(x) = log2(2) represents the logarithm of 2 to the base 2, which is equivalent to asking what exponent you need to raise 2 to in order to obtain 2.
The given domain interval is [8, 22], which means we need to evaluate the function at the endpoints of the interval.
When we substitute 8 into the function, we get m(8) = log2(2) = 1. Similarly, substituting 22 into the function gives m(22) = log2(2) = 1.
Since the logarithm of any number to the same base is always 1, the function is constant within the domain interval [8, 22], and the minimum and maximum values are both 1.
Therefore, the minimum value and maximum value of the function m(x) = log2(2) on the interval [8, 22] are both 1.
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The complete question is:
Given the function m(x) = log2(2) and the domain interval [8, 22], what are the minimum and maximum values of the function?
Please select the correct answer from the options below:
A) minimum value = 3.000; maximum value = 4.459
B) minimum value = 2.079; maximum value = 3.091
C) minimum value = 0.224; maximum value = 0.333
D) minimum value = none; maximum value = none
E) minimum value = 0.903; maximum value = 1.342
Related Questions
Please help me I’m having so much trouble I need ASAP I’m stressing :(
Answers
Answer:
1000 (1.12)^t
Step-by-step explanation:
first year 1120
second year 1254.4
etc
Ollie borrowed $5000 for 3 years at a compound interest rate of 10%.
How much did Ollie pay back?
Answers
Answer: Assuming interest rate is yearly, Ollie would have to pay back 6, 655 dollars :)
Step-by-step explanation:
The formula for compound interest is
Y = P(1 + r/m)^mt, with P being the initial deposit (5000), r being the interest rate (0.10), m being the amount of times it is compounded per year (1), and t being the number of years (3).
a committee will be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers. what is the probability that engineer jane or manager mary is on the committee?
Answers
The probability that engineer jane or manager Mary is on the committee is 0.5157.
Given a committee to be formed with 4 managers and 4 engineers selected randomly without replacement from 11 managers and 16 engineers, what is the probability that engineer jane or manager Mary is on the committee?
We have to calculate the probability that engineer Jane or manager Mary is on the committee. We will use the principle of inclusion and exclusion to solve this problem. The number of managers that can be selected from 11 managers is
11C4 = 330
The number of engineers that can be selected from 16 engineers is
16C4 = 1820
The total number of ways in which the committee can be formed is
330 * 1820 = 599400
Jane is one of 16 engineers. The number of committees that Jane can be a member of is given by:
15C3 * 11C4 = 1365 * 330 = 450450
Mary is one of 11 managers. The number of committees that Mary can be a member of is given by:
10C4 * 16C4 = 1820 * 210 = 382200
The number of committees that contain both Jane and Mary is given by:
10C3 * 15C3 = 120 * 455 = 54600
Therefore, the probability that either Jane or Mary is on the committee is given by:
P(Jane or Mary) = P(Jane) + P(Mary) - P(Jane and Mary)P(Jane or Mary)
= 450450/599400 + 382200/599400 - 54600/599400P(Jane or Mary)
= 0.5157 (rounded to four decimal places)
Therefore, the probability that engineer jane or manager Mary is on the committee is 0.5157.
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write the equation 3x-2y=15 in standard form. show work.
Answers
we have given that
X=7
and Y=3
Step-by-step explanation:
3x-2y=15
put value
(3×7)-(2×3)=15
so we can say that the value of X and Y having different value and satisfied given given
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please help!!!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
1 ≤ y ≤ ∞
Because y(5)=1 - minimum value of the function. All other values are above it.
Can someone help me finish this ?
Answers
Leaving where u left off,
4+25-27.9
29-27.9
1.1
The parallel line cannot have a y-intercept of c because then the lines would be
A. The same line
B. Perpendicular
C. Parallel
Answers
The parallel line cannot have a y-intercept of c because then the lines would be :- The same line.
Define parallel line.Parallel lines are two lines in the same plane that are equal distance apart and never intersect.
Two parallel lines have the same slope but different y-intercepts. If one of the parallel lines has a y-intercept of c, its equation is y = mx + c, where m is the slope. The other parallel line's equation would be y = mx + b, where b is a separate y-intercept.
If two lines have the same slope m and y-intercept c, their equations are the same: y = mx + c. As a result, they would be the same line rather than parallel lines.
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out of each 100 products, 96 are ready for purchase by customers. if you selected 27 products, what would be the expected (mean) number that would be ready for purchase by customers? group of answer choices 96 0.96 27 26
Answers
The expected number of products that would be ready for purchase by customers would be approximately D: 26.
Out of each 100 products, 96 are ready for purchase, so the proportion of products that are ready for purchase is 96/100 = 0.96. If you select 27 products, we can use this proportion to calculate the expected (mean) number of products that would be ready for purchase by customers:
0.96 * 27 = 25.92
So, the expected number of products that would be ready for purchase by customers would be approximately 26.
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Which graph represents the function f(x)=
(x)=3-12
X
5
4
3
2-
1
-5 -4 -3 -2 -1
1 2 3
4 5
941
Answers
Answer:
See below.
Step-by-step explanation:
For a rational function, the equation is \(\displaystyle \large{f(x)=\frac{a}{b(x-c)}+d}\) where:-
c is horizontal shift.d is vertical shift.a/b determines how wide or narrow the graph is.x = c is a vertical asymptote.y = d is a horizontal asymptote.We are given a function \(\displaystyle \large{f(x)=\frac{1}{x}-1}\) . Examine the function, we know that:-
.The graph has no horizontal shift as c = 0.The graph has the vertical shift which is -1. Therefore d = -1x = 0 is our vertical asymptote.y = -1 is our horizontal asymptote.Additional Info
- Asymptote line is a line that the graph tends to approach but never intersects.
From the information we have, first - draw both vertical asymptote and horizontal asymptote to make it easier to draw a graph.
Then draw a rational function’s graph as it tends to 0 when x = 0 and -1 when x tends to both sides of infinity.
You should receive a graph below that I made, see the attachment. The purple line represents the horizontal asymptote and y-axis is our vertical asymptote.
If you have any questions, do not hesitate to ask in comment!
A bag holds 2 red and 7 blue marbles. What is the probability of not selecting a red marble?
2/7
O a
Ob
7/2
2/9
Od
779
Answers
Which of the following expressions is equivalent to 18x + 30y?
A) 3(6x + 30y)
B) 6(3x + 5y)
C) 3xy(6 + 5)
D) 6(3y + 5x)
Answers
Answer:
B) 6(3x + 5y)
Step-by-step explanation:
6 times 3 is 18 and 6 times 5 is 30
A candy store allows customers to select 3 different candies to be packaged and mailed. If there are 13 varieties available, how many possible selections can be made?
Answers
There are 286 different possible selections of three candies from 13 varieties.
To find out how many possible selections can be made, we can use the combination formula: nCk = n! / (k! (n-k)!), where n is the total number of candies available and k is the number of candies to be selected.
In this case, n = 13 (the number of candy varieties) and k = 3 (the number of candies to be selected). So the number of possible selections can be calculated as follows: 13C3 = 13! / (3! (13-3)!) = 286. Therefore, there are 286 different possible selections of three candies from the 13 varieties available in the candy store.
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An accountant used to charge $50 per hour, but recently decided to charge $62 per hour. What was the percent of increase in the billing rate?
Answers
Answer:
24%
Step-by-step explanation:
we subtract to see how much it increased
62-50=12
Now divide 12 by 50 to get percent
12/50
0.24
0.24x100
24%
Hopes this helps please mark brainliest
A trumpet player is currently standing in position (3, 2) on a gridded football field. Her bandleader
instructs her to move two units to the left and one unit up. What are her new coordinates?
The trumpet player's new coordinates are
Answers
Answer:
(1, 3)
Step-by-step explanation:
Current position (3,2)
Moving left of the x axis results in a decrease, so: 3 - 2 (As she is moving 2 units to the left)
Moving up results in a positive increase on the y axis, so: 2 + 1 (As she is moving one unit up)
Find the unit vectors that are parallel to the tangent line of f(x)=−(2x+x²) through the point (0,0). (Separate answers with a comma) If you don't get this in 3 tries, you can see a similar example (online). However, try to use this as a last resort or after you have already solved the problem. There are no See Similar Examples on the Exams! Results for this submission
Answers
The unit vectors that are parallel to the tangent line of f(x) = -(2x + x²) through the point (0, 0) are (1, -2)/√5 and (-2, 1)/√5. The slope of the tangent line at the point (0, 0) is given by the derivative of f(x) at x = 0. The derivative of f(x) is -2 - 2x, so the slope of the tangent line is -2.
The equation of the tangent line is y - 0 = (-2)(x - 0), or y = -2x. The unit vectors that are parallel to the tangent line are the direction vectors of the line. The direction vectors of the line are (-2, 1) and (1, -2).
To normalize these vectors, we divide each vector by its magnitude. The magnitude of (-2, 1) is √5, so the unit vector parallel to (-2, 1) is (-2, 1)/√5. The magnitude of (1, -2) is also √5, so the unit vector parallel to (1, -2) is (1, -2)/√5.
Therefore, the unit vectors that are parallel to the tangent line of f(x) = -(2x + x²) through the point (0, 0) are (1, -2)/√5 and (-2, 1)/√5.
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What is the error in the solution of the proportion shown at the right?
A. The second line should be 2x + 18 = 3x making the final answer 18 = x
B. The second line should be 2x + 27 = 3x making the final answer 27= x
C. The second line should be 3x + 9 = 2x making the final answer 9 = x
D. There is no error
Answers
The error in the proportion is the second line should be 2x + 18 = 3x making the final answer 18 = x
The error in the solution of the proportion shown can be calculated as follows:
Therefore, let's solve the equation to know the error made.
2 / 3 = x / x + 9
cross multiply
2(x + 9) = 3x
open the brackets
2x + 18 = 3x
subtract 2x from both sides of the equation
2x + 18 = 3x
2x - 2x + 18 = 3x - 2x
x = 18
Therefore, he made mistake in the second line, it should be 2x + 18 = 3x making the final answer 18 = x
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Create an equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six.
1.3 squared over 1.5 cubed
1.3 to the twenty-fourth power over 1.5 to the eighteenth power
1.5 cubed over 1.3 squared
1.5 to the eighteenth power over 1.3 to the twenty-fourth power
Answers
The equivalent expression for 1.5 cubed over 1.3 raised to the fourth power all raised to the power of negative six is 1.5 to the eighteenth power over 1.3 to the twenty-fourth power.
How to explain the expressionHere are the steps to simplify the expression:
Apply the negative power rule: (1.5 cubed over 1.3 raised to the fourth power) raised to the power of negative six is equal to (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six.
Apply the power of a quotient rule: (1.3 raised to the fourth power over 1.5 cubed) raised to the power of six is equal to (1.3 raised to the fourth power)⁶ / (1.5 cubed)⁶.
Apply the power of a power rule: (1.3 raised to the fourth power)⁶ is equal to 1.3(⁴*⁶) = 1.3²⁴.
Apply the power of a power rule: (1.5 cubed)⁶ is equal to 1.5(³*⁶) = 1.5¹⁸.
Therefore, the equivalent expression is 1.5¹⁸ / 1.3²⁴.
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Match the angle measure in the left column with its complementary angle measure in the right column
Show work.
Answers
The angle of measure in the left column with its complementary angle measured in the right column.
11° 79°
36° 54°
85° 5°
42° 48°
What is the angle?
An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
If the sum of two angles is 90°, then the angles are complementary to each other.
The complementary angle of 11° is 90° - 11° = 79°.
The complementary angle of 36° is 90° - 36° = 54°.
The complementary angle of 85° is 90° - 85° = 5°.
The complementary angle of 42° is 90° - 42° = 48°.
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WILL GIVE BRAINLIEST write your answer as a simplified mixed number please show your work
Answers
Answer:
Step-by-step explanation:
Given equation...
\(-2\frac{1}{2}\) ÷ \(\frac{3}{4}\) =
Step One...
= \(\frac{-5}{2}\) ÷ \(\frac{3}{4}\)
Step Two...
= \(\frac{-10}{3}\)
Step Three...
= -3\(\frac{1}{3}\)
Hope this helps!
An amusement park reports that the probability of a visitor riding its largest roller coaster is 30 percent, the probability of a visitor riding its smallest roller coaster is 20 percent, and the probability of a visitor riding both roller coasters is 15 percent. Which equation can be used to calculate the probability of a visitor riding the largest or the smallest roller coaster? P(largest or smallest) = 0. 30 - 0. 20 P(largest or smallest) = 0. 30 0. 15 - 0. 20 P(largest or smallest) = 0. 30 0. 20 - 0. 15 P(largest or smallest) = 0. 30 0. 20.
Answers
The correct equation to calculate the probability of a visitor riding the largest or the smallest roller coaster is P(largest or smallest) = 0.30 + 0.20 - 0.15.
This is because we need to add the probability of a visitor riding the largest roller coaster (0.30) and the probability of a visitor riding the smallest roller coaster (0.20), but we need to subtract the probability of a visitor riding both roller coasters (0.15) because we don't want to count them twice. Therefore, the probability of a visitor riding the largest or the smallest roller coaster is 0.35 (0.30 + 0.20 - 0.15).
To calculate the probability of a visitor riding the largest or the smallest roller coaster, we can use the formula for the probability of the union of two events:
P(largest or smallest) = P(largest) + P(smallest) - P(largest and smallest).Given the probabilities in the question, we can plug in the values:
P(largest or smallest) = 0.30 + 0.20 - 0.15
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Can someone help with this fast!?!
Solve the equation 2(4x - 1) = -10(x - 3) + 4. Show each step in the solving process separately, please. Also in order what would this be in like properties wise? Been trying to get better at this I just need a little help so I can get better.
Answers
Answer:
x=2
Step-by-step explanation:
2(4x - 1) = -10(x - 3) + 4
First, we distribute the 2 on the left side and -10 on the right side using the distributive property of equality:
8x - 2 = -10x + 30 + 4
Next, we combine like terms on the right side:
8x - 2 = -10x + 34
We add 10x to both sides using the addition property of equality:
8x - 2 + 10x = -10x + 34 + 10x
Simplifying:
18x - 2 = 34
We add 2 to both sides:
18x - 2 + 2 = 34 + 2
Simplifying:
18x = 36
Finally, we divide both sides by 18:
18x / 18 = 36 / 18
Simplifying:
x = 2
In each step, we used a different property of equality:
Distributive property of equalityCombining like termsAddition property of equalitySimplifyingAddition property of equalitySimplifyingDivision property of equalityPlease hit brainliest if this helped! Comment if you have a question.
What is the next fraction in this sequence? Simplify your answer.
1 1 1 5
6,4, 3, 12,
Answers
Julie took a total of 14 quizzes over the course of 2 weeks. How many weeks of school will Julie have to attend this quarter before she will have taken a total of 42 quizzes? Solve using unit rates.
Answers
Answer: It took 6 weeks
Step-by-step explanation:
1) find out how many tests she took in one week. 14 divided by 2 which is 7.
2) You divide 42 by 7 to find out how many weeks it took. 42 divided by 7 is 6.
exposed clout chaser
Answers
Answer:
lol thanks for the free points
Step-by-step explanation:
Answer:
Exposed UwU
Have a great day
i need help with 1 and 2!!
1. select the graph(s) and/or table(s) thag represent functions. choose all that apply.
2. Which set of ordered pairs does NOT represent a function?
Answers
1. The graphs and table that represent functions include the following: B, C, and E.
2. The set of ordered pairs that does not represent a function are:
A. {(-4, 9), (-4, 7), (1, -5), (7, -7)}.
C. {(-2, 0), (0, -2), (1, 1), (2, 0)}.
D. {(-5, 4), (-3, 4), (-1, 4), (2, 4)}.
What is a function?In Mathematics and Geometry, a function is used for defining and representing the relationship that exists between two or more variables in a relation, table, ordered pairs, or graph.
Part 1.
Based on the given graphs and tables, we can logically deduce that the graph of a circle represent a relation because it does not have an inverse function. Also, tables D and F does not represent a function because the input values (domain) are not uniquely mapped to the output values (range).
Part 2.
Based on the given set of ordered pairs, we can logically deduce that only set A represent a function because the input values (domain) its uniquely mapped to the output values (range).
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What is the value of 0 by0?
Answers
The value of 0/0 is undefined.
In general, division by zero is undefined because it is not a valid mathematical operation. Dividing any number by zero produces an undefined result because it is not possible to determine the value of the result.
For example, if you try to divide any number by zero, you will get an error message or an undefined result. For example, in most programming languages, attempting to divide a number by zero will result in a runtime error. In mathematics, attempting to divide a number by zero is not allowed, and the result is considered undefined.
Therefore, the value of 0/0 is undefined.
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if the odds winning first prize in a chess tournament are 4 to 11, what is the probability of the event that she will win first prize
Answers
The probability of winning first prize in the chess tournament is approximately 0.2667 or 26.67%.
To calculate the probability of winning first prize in a chess tournament given odds of 4 to 11, we need to understand how odds are related to probability.
Odds are typically expressed as a ratio of the number of favorable outcomes to the number of unfavorable outcomes. In this case, the odds are given as 4 to 11, which means there are 4 favorable outcomes (winning first prize) and 11 unfavorable outcomes (not winning first prize).
To convert odds to probability, we need to normalize the odds ratio. This is done by adding the number of favorable outcomes to the number of unfavorable outcomes to get the total number of possible outcomes.
In this case, the total number of possible outcomes is 4 (favorable outcomes) + 11 (unfavorable outcomes) = 15.
To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability = 4 / 15 ≈ 0.2667
Therefore, the probability of winning first prize in the chess tournament is approximately 0.2667 or 26.67%.
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A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?
Answers
Step-by-step explanation:
(3.1415 * 10^2) area of base
(17) height
volume = area of base * height
volume = 3.1415 * 10^2 * 17
The volume of the cylinder is 533.8 cubic inches to the nearest tenths place
Volume of Cylinder based problem:What information do we have?
Diameter of cylinder = 20 inch
Height of cylinder = 17 inch
Volume of Cylinder = πr²h
Volume of Cylinder = (3.14)(20/2)²(17)
Volume of Cylinder = (3.14)(10)(17)
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I need help with this question
Answers
The range of the quadratic equation y = -x² - 2x + 3 is
C y ≤ 4
What is range of a quadratic equationThe range of a quadratic equation, or a parabola, depends on whether the parabola opens upward or downward.
In this case we have a downward opening
If the parabola opens downward (a < 0): The range of the quadratic equation is y ≤ c, where c is the y-coordinate of the vertex.
plotting the equation shows that the y coordinate of the vertex is 4 and the range is y ≤ 4
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9 in
16 in
13 in
Drawing not to scale
a 38 in 2
b. 117 in 2
C. 468 in2
d. 58.5 in.?
Answers
D.
area of triangle = 1/2 × base × height
therefore,
1/2× 9× 13= 58.5in^2
The area of the triangle with a base of 9 inches and height of 13 inches is 58.5in^2
We have given that,9 in,16 in, and 13 in
Drawing not to scale
We have given that the triangle
What is the formula for the area of the triangle?
area of triangle = 1/2 × base × height
therefore,
Use the given value in the formula so we get
\(1/2\times 9 \times 13= 58.5in^2\)
Therefore the area of the triangle is 58.5in^2.
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