Answers
Answer:
D
Step-by-step explanation:
The range is the y-values of a function. In this case, it would be 2, 4, 9, 16
Related Questions
A town tracks the increases and decreases in its population. The population has decreases by 300 residents over the past 5 years. The same number of residents left each year. What was the change in the town's population each year?
Answers
Answer:
I think the answer would be -60 (as in 60 people left each year)
Step-by-step explanation:
If the population decreased by 300 over 5 years, and the same number of residents left each year, then you would divide 300 by 5, and that gives you 60.
In a geometric sequence, the term an+1 can be smaller than the term ar O A. True O B. False
Answers
9514 1404 393
Answer:
True
Step-by-step explanation:
In a geometric sequence, the terms a[n+1] and a[n] are related by the common ratio. If the sequence is otherwise unspecified, two sequential terms may have any a relation you like.* Either could be larger or smaller than the other.
__
* If one is zero, the other must be as well. Multiplying 0 by any finite common ratio will give zero as the next term.
Given the two functions, which statement is true? f(x) = 3x, g(x) = 3x + 5 Question 12 options: g(x) is translated up 5 units compared to f(x) g(x) is translated left 5 units compared to f(x) g(x) is translated down 5 units compared to f(x) g(x) is translated right 5 units compared to f(x)
Answers
The correct statement is: g(x) is translated up 5 units compared to f(x).
The correct answer is A.
To determine the translation between the two functions, we can observe that the only difference between them is the constant term.In f(x) = 3x, there is no constant term, so the graph of f(x) passes through the origin (0, 0).In g(x) = 3x + 5, there is a constant term of 5 added to the function. This means that the graph of g(x) is shifted vertically upward by 5 units compared to the graph of f(x).Therefore, g(x) is translated up 5 units compared to f(x).The correct answer is A.
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1.
15% of what number is 45?
Answers
Answer:
15% of 300 is 45
Answer:
300
Step-by-step explanation:
Which of these is the correct ratio of strawberries to blueberries for the fruit salad?
A. 8 strawberries: 30 blueberries
B. 8 strawberries: 8 blueberries
C. 4 strawberries: 30 blueberries
D. 32 strawberries: 30 blueberries
Answers
The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).
What is the ratio?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.
The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.
(8 x 4) : 30
32 : 30
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Answer: A. 8 strawberries: 30 blueberries
Step-by-step explanation:
A 15 foot electrical wire cost 16.20 what is the cost per inch
Answers
9514 1404 393
Answer:
0.09 per inch
Step-by-step explanation:
There are 12 inches in a foot, so 15 feet is 15×12 = 180 inches.
The cost per inch is found by dividing the cost by the number of inches.
cost per inch = 16.20/180 = 0.09
The cost per inch of electrical wire is 0.09.
helppp me please!!!
Answers
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
Two angles are supplementary. One measure
3
x
−
2
and the other measures
2
x
+
7
. Find the value of x and the measure of the smaller angle.
Answers
Answer:
x = 35°77Step-by-step explanation:
Supplementary angles add up to 180°
3x - 2° + 2x + 7° = 180°5x + 5° = 180°5x = 175°x = 35°Angles
3*35° - 2° = 105° - 2° = 103°and
180° - 103° = 77°Answer:
x = 35
77 degrees
Step-by-step explanation:
Supplementary angles mean that two angles add up to measure 180 degrees.
Solve for x.
(3x - 2) + (2x + 7) = 180
~Combine like terms
5x + 5 = 180
~Subtract 5 to both sides
5x = 175
~Divide 5 to both sides
x = 35
Angle 1:
3x - 2
3(35) - 2
105 - 2
103 degrees
Angle 2:
2x + 7
2(35) + 7
70 + 7
77 degrees
103 > 77
The smaller angle is 77.
Best of Luck!
use the data for each plats growth and compare the
Answers
Carson and his children went into a restaurant where they sell hamburgers for $6 each and tacos for $2.50 each. Carson has $65 to spend and must buy a minimum of 12 hamburgers and tacos altogether. If Carson decided to buy 8 tacos, determine the maximum number of hamburger that he could buy.
Answers
Omar has 2 3/4 cups of dough to make dumplings.if he uses 3/16 cup of dough for each dumpling, how many whole dumplings can Omar make.
Answers
1st Answer:
2 3/4 cups of dough divided by the amount used for each dumpling 3/16
would be
11/4/3/16=
=44/3
=14 2/3
which would be about 14 whole dumplings!
Cindy tried to find the sum of the exterior angles of the hexagon. What was her error?
will mark brainiliest!
Answers
Step-by-step explanation:
Simple, she found the sum of the interior angles not exterior angles.
The exterior angles of any polygon add up to 360 degrees.
What Cindy did was found the total interior angle measure of a hexagon which is 720
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
Answers
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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chloe is buying a mixed nuts at a grocery store. she can either spend $7.93 on a 15.25 ounce bag or 11.75 on a 25 ounce bag. which is a better buy?
Answers
Answer:
25 ounce bag
Step-by-step explanation:
I need help answering this
Answers
is your answer
(mrh ch03-3007n) you have a binomial random variable with probability of success 0.6. assume the trials are independent and p remains the same over each trial. what is the probability of more than 3 successes if you have 6 trials? (do not count the situation with exactly 3 successes.) in other words, what is pr(x > 3)? enter your answer as a number between 0 and 1 and carry it to three decimal places. for example, if you calculate 12.34% as your answer, enter 0.123.
Answers
The probability of more than 3 successes in 6 trials with a probability of success of 0.6 is 0.4558.
To calculate the probability of more than 3 successes in 6 independent trials with a binomial distribution where the probability of success is 0.6, we can use the cumulative distribution function (CDF) of the binomial distribution:
Pr(x > 3) = 1 - Pr(x ≤ 3)
To find Pr(x ≤ 3), we can use the binomial probability mass function (PMF) for each possible value of x and add them up:
Pr(x = 0) = (6 choose 0) × 0.6^0 × 0.4^6 = 0.0041
Pr(x = 1) = (6 choose 1) × 0.6^1 × 0.4^5 = 0.0409
Pr(x = 2) = (6 choose 2) × 0.6^2 × 0.4^4 = 0.1536
Pr(x = 3) = (6 choose 3) × 0.6^3 × 0.4^3 = 0.3456
Therefore, Pr(x ≤ 3) = 0.0041 + 0.0409 + 0.1536 + 0.3456 = 0.5442
Finally, we can calculate Pr(x > 3) as follows:
Pr(x > 3) = 1 - Pr(x ≤ 3) = 1 - 0.5442 = 0.4558
Therefore, the probability is 0.4558
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Determine the total displacement of the object(as the area under the velocity vs. time graph line )
Answers
Area from t= 0 to t = 6:
A = b*h/2
Where:
b= 6
h = 9
A = 9*6/2 = 27
Area from t=6 to t=10
A= w*h
Where:
w = 4
h = 9
A = 4*9 = 36
The total area is:
Area total = Total displacement = 27 + 36 = 63m
The darkness of the print is measured quantitatively using an index. If the index is greater than or
equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and
not acceptable. Assume that the machines print at an average darkness of 2.2 with a standard
deviation of 0.20.
(a) What percentage of printing jobs will be acceptable? (4)
(b) If the mean cannot be adjusted, but the standard deviation can, what must be the new standard
deviation such that a minimum of 95% of jobs will be acceptable?
Answers
84.13% of the printing jobs will be acceptable.
The new standard deviation required to achieve a minimum of 95% of jobs acceptable is 0.121.
The darkness of the print is measured quantitatively using an index. If the index is greater than or equal to 2.0 then the darkness is acceptable. Anything less than 2.0 means the print is too light and not acceptable. The machines print at an average darkness of 2.2 with a standard deviation of 0.20.
The mean of the darkness of the print is µ = 2.2 and the standard deviation is σ = 0.20.Therefore, the z-score can be calculated as; `z = (x - µ) / σ`.The index required for acceptable prints is 2.0. Thus, the percentage of prints that are acceptable can be calculated as follows;P(X ≥ 2.0) = P((X - µ)/σ ≥ (2.0 - 2.2) / 0.20)P(Z ≥ -1) = 1 - P(Z < -1)Using the standard normal table, P(Z < -1) = 0.1587P(Z ≥ -1) = 1 - 0.1587= 0.8413.
To find the new standard deviation, we can use the z-score formula.z = (x - µ) / σz = (2.0 - 2.2) / σz = -1Therefore, P(X ≥ 2.0) = 0.95P(Z ≥ -1) = 0.95P(Z < -1) = 0.05Using the standard normal table, the z-score value of -1.645 corresponds to a cumulative probability of 0.05. Hence,z = (2.0 - 2.2) / σ = -1.645σ = (2.0 - 2.2) / -1.645= 0.121.
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Think about setting up a code for 24 letters (all of the letters in the alphabet except for O and I) with a two-number code for each letter. What are the pros and cons of assigning codes randomly vs. systematically?
Answers
Random codes reduce biases and increase security, but may be hard to use and result in inefficient coding. Systematic codes are easier to organize and use, but may be more predictable and less secure. The choice depends on needs and trade-offs between security, efficiency, and ease of use.
Assigning codes randomly:
Pros:
Reduces the likelihood of biases or patterns in the code assignment
Difficult to guess or predict the code for a given letter, increasing security
Cons:
May not be intuitive or easy to remember for users
Difficult to organize or sort codes in a meaningful way
May result in inefficient coding with long or repetitive codes
Assigning codes systematically:
Pros:
Easier to organize and sort codes alphabetically or by other criteria
Can be more intuitive and easy to remember for users
Can result in shorter or more efficient codes
Cons:
May be more susceptible to patterns or biases in the code assignment
May be easier to guess or predict the code for a given letter, reducing security
Ultimately, the choice of whether to assign codes randomly or systematically depends on the specific needs and goals of the coding system, as well as the trade-offs between security, efficiency, and ease of use.
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PLS HELP ME
The function f(x) = -3(2)²+¹ +90 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundrea
The practical domain of the situation is x
Basic
The practical range of the situation is 90
A
O
Answers
Answer:
Practical domain: 0 ≤ x ≤ 3.907Practical Range: 0 ≤ y ≤ 84 where y is an integer, so we have the set {0,1,2,...,83,84}The 3.907 is approximate.
====================================
Explanation:
x = number of hours that elapse
y = f(x) = number of tokens
If we use a graphing tool like a TI84 or GeoGebra, then the approximate solution to -3(2)^(x+1) + 90 = 0 is roughly x = 3.907
At around 3.907 hours is when the number of tokens is y = 0. Therefore, this is the approximate upper limit for the domain. The lower limit is x = 0.
The domain spans from x = 0 to roughly x = 3.907, and we shorten that down to 0 ≤ x ≤ 3.907
------------
Plug in x = 0 to find y = 84. This is the largest value in the range.
The smallest value is y = 0.
The range spans from y = 0 to y = 84, so we get 0 ≤ y ≤ 84
Keep in mind y is the number of tokens. A fractional amount of tokens does not make sense, so we must have y be a whole number 1,2,3,...,83,84.
The x value can be fractional because 3.907 hours for instance is valid.
------------
Extra info:
The function is decreasing. It goes downhill when moving to the right.The points (0,84) and (1,78) and (2,66) and (3,42) are on this exponential curve.A point like (2,66) means x = 2 and y = 66. It indicates: "after 2 hours, they will have 66 tokens remaining".What is the intermediate step in the form (x+a)^2=b as a result of complementing the square for the following equations
Answers
The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.
To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.
Add the square of half of the coefficient of x to both sides of the equation:
x² + 2x + (2/2)² = 319 + (2/2)²
x² + 2x + 1 = 320
The left-hand side of the equation can now be factored as a perfect square:
(x+1)² = 320
This is the equation in the form (x+a)²=b, where a=1 and b=320.
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The complete question is as follows:
What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?
x² + 2x = 319
A triangle with side lengths 8, 15, and 17 is a right triangle by theconverse of thePythagorean Theorem. What are the measures of the other 2 angles?Round your answers to the nearest whole number.HINT: Draw a diagram of this problem and label your triangle.The méasure of the smaller acute angle is ____degreesand the larger acute angle measures_______degrees.
Answers
We are given a right-angle triangle with side lengths 8, 15, and 17.
Since it is a right triangle, one angle must be 90°
Let us find the other two angles of this right triangle.
With respect to angle x, the opposite side is 15 and the hypotenuse side is 17.
Recall from the trigonometric ratios,
\(\begin{gathered} \sin (x)=\frac{\text{opposite}}{\text{hypotenuse}} \\ \sin (x)=\frac{15}{17} \\ x=\sin ^{-1}(\frac{15}{17}) \\ x=61.9\degree \end{gathered}\)So, the second angle is 61.9°
Recall that the sum of angles inside a triangle must be equal to 180°
So, the third angle can be found as
\(\begin{gathered} y+61.9\degree+90\degree=180\degree \\ y=180\degree-90\degree-61.9\degree \\ y=28.1\degree \end{gathered}\)So, the third angle is 28.1°
The measure of the smaller acute angle is 28.1 degrees and the larger acute angle measures 61.9 degrees.
During science class, groups measure out different volumes of vinegar. The line plot below shows the amount of vinegar used by 12 1212 groups, rounded to the nearest 1 2 mL 2 1 mLstart fraction, 1, divided by, 2, end fraction, start text, space, m, L, end text. 4 4 4 1 2 4 2 1 5 5 5 1 2 5 2 1 6 6 6 1 2 6 2 1 7 7 7 1 2 7 2 1 8 8 A line plot labeled 4 to 8 with tick marks every one-half unit labeled with a tick mark and number. Above tick mark four and one-half there is a column of two dots. Above tick mark 5 there is a column of three dots. Above tick mark six and one-half there is a column of two dots. Above tick mark 7, there is a column of two dots. Above tick mark seven and one-half, there is a column of three dots. What is the total amount of vinegar, in milliliters, used by the 3 33 groups that used the most? mL mL
Answers
Answer:
22 1/2
Step-by-step explanation:
C = (y-2) h
Solve for Y
Answers
Answer:
\(y=\frac{c+2h}{h}\)
Step-by-step explanation:
\(C=(y-2) h\\\)
Multiply h to the parentheses
⇒ \(C=hy-2h\)
Flip the equation
⇒ \(hy-2h=c\)
Add 2h to both sides (to cancel it out on the left side)
⇒ \(hy-2h+2h=c+2h\)
⇒ \(hy=c+2h\)
Divide both sides by h (to cancel it out on the left side)
⇒ \(\frac{hy}{h} =\frac{c+2h}{h}\)
⇒ \(y=\frac{c+2h}{h}\)
I hope this helps!
What is the area of the figure?
Answers
Answer: 23.76 sq yds
Step-by-step explanation:
0.5*9.9*4.7=23.76
Area of triangle: 0.5*b*h
The weight. In grams, of a population of bacteria at time t hours is modeled by the function W the solution to a logistic differential equation. Selected values of W and its first and second derivatives are shown in the table above. Which of the following statements is true? W (35 – W/), because the carrying capacity is 35 and the rate of change of the weight is 6 grams per hour when the weight is 10 grams. W (35 – W), because the carrying capacity is 35 and the fate of change of the weight is 3 grams per hour when the weight is 10 grams (70W). because the carrying capacity is 20 and the rate of change of the weight is 6 grams per hour when the weight is 10 grams. Om de operation because the cauruna capacity te 70 and the rate of change of the wengrana
Answers
With regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W (70 - W),
When, W = 10 then dw/dt = 6
When W = 35 then d²w/d²t = 0
where the point influx occurs, the weight of the carrying capacity is half
Therefore, 35 = a/2
Then the carrying capacity (a) = 35 x 2
a = 70
A function's sensitivity to change with respect to a change in its argument is measured by the derivative of a function of a real variable. Calculus's core tool is the derivative. It is a crucial idea that is incredibly helpful in a variety of contexts: in daily life, the derivative can inform you how fast you are driving or assist you in predicting stock market changes; in machine learning, derivatives are crucial for function optimization.
Therefore, with regards to the function model then the true statement as per first and second derivatives is: (C) dw/dt = 1/100 W (70 - W), because the carrying capacity is 70 and the rate of change of the weight is 6 grams per hour when the weight is 10 grams.
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(7h + 7) + (7h + 8)
........
Answers
Answer:
14h+15
Step-by-step explanation:
(7h + 7) + (7h + 8)
First simplify
Eliminate redundant parentheses
(7h+7)
7h+7+7h+8
Add the numbers
7h+(7)+7h+(8) . 7+8=15
7h+15+7h
Combine like terms
(7h)+15+(7h) (7h)+(7h)=14h
14h+15
The answer would be 14h+15
How Do You get: 5(5x + 2x /5 x 8)<78
Answers
Answer:
x < 1.39285714286
Step-by-step explanation:
5(5x+2x/5x8)<78
x5 x5
5(5x+2x(8))<390
/8 /8
5(5x+2x)<48.75
5(7x)<48.75
/5 /5
7x < 9.75
/7 /7
x < 1.39285714286
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 44 km south and 227 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answers
The time JBLM will you be the closest to Mt. Rainier will be 5.12 minutes.
What is Distance?A measurement of the distance between two places along a line or line segment.
The plane's flight route follows the line.
y = -125/135x = -25/27x
The direction of the perpendicular line passing across Mt. Rainier is,
y = 27/25(x -56) -40
In standard form, these two equations are,
25x +27y = 0
27x -25y = 2512
The coordinates at the closest approach are the answers to these two equations:
(x, y) = (33912/677, 31400/677)
The Pythagorean theorem (distance formula) states that the distance d from the origin to this point is as follows:-
d = 1256√(2/677) km
The airplane's speed can be used to convert this distance to time:
1256√(2/677) X 60/800 = 94.2√(2/677) ≈ 5.120019 mins
So, 5.12 minutes after leaving JBLM, Mt. Rainier will be the nearest.
The attached graph shows the geometry of the problem.
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The price of an item has been reduced by 95%. The original price was $65
Answers
The new price of the item is equivalent to $3.25.
What is percentage?In mathematics, a percentage is a number or ratio that represents a fraction of 100. A percentage is a dimensionless number i.e. it has no unit of measurement.Given is that the price of an item has been reduced by 95%. The original price was $65
Assume the new price to be $[x]. So, we can write -
x = 65 - {95% of 65}
x = 65 - {(95/100) x 65}
x = 65 - {6175/100}
x = 65 - 61.75
x = 3.25
Therefore, the new price of the item is equivalent to $3.25.
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