Answer:
The exponential function has a slower rate of change, but it is too early to say that it won't be the highest later on.
Step-by-step explanation:
Hello!
An exponential function will always have the highest output value when compared to a linear or quadratic function. The only catch is that it might take a while for it to get there.
Here, there are only 5 given x-values, but the graph will have higher outputs once there are more x-values plugged in.
need urgent help pls
99 pts
Answer:
.22222 or [tex]\frac{2}{9}[/tex]
Step-by-step explanation:
[tex]2(\frac{1}{3^{2} })\\\\2(\frac{1}{9})\\\\= .22222 \\[/tex] or [tex]\frac{2}{9}[/tex]
The solid below is dilated by a scale factor of 1/2. Find the volume of the
solid created upon dilation.
24
26
10
34
Answer: 4080
Step-by-step explanation:
First you have to find the area of the triangle. 24*10 = 240. 240/2 = 120. Then you multiply the area of the triangle and multiply it by 34. 120 * 34 = 4080. This means the answer is 4080
126, 128, 107, 113, 120, 126
Mean
Mode
Median
Range
The mean is 120
The mode is 126
The median is 123
The range is 21
How to calculate the mean, mode, median and range?
Mean= 126 + 128 + 107 + 113 + 120 + 126/6
= 720/6
= 120
Mode= 126
Median= 120 + 126/2
= 246/2
= 123
Range= Highest-lowest
= 128-107
= 21
Hence the mean is 120, the mode is 126, the median is 123 and the range is 21
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Questions three and four please
The 'footprint' of CO2 emissions for a person in 1830 would be 818,199 tons of CO2 emissions per person.
What is the 'footprint' of CO2 emissions for a person in 1830??"To find the 'footprint' of CO2 emissions for a person in 1830, we need to substitute the value of x = 1830 - 1800 = 30 into the given function C(x) = 0.0365 (1.758)^x.
Plugging in x = 30 into the function, we get:
C(30) = 0.0365 * (1.758)^30
Substituting this value back into the function, we get:
C(30) = 0.0365 * 22416413.1381
C(30) = 818199.079541
C(30) ≈ 818,199.08
Answered question "Scientists studying the 'footprint' of carbon dioxide (CO2) emissions attributed to the average person for each decade from 1800 to 1910 used the function C(x) = 0.0365 (1.758)*, where x is the number of decades since 1800 and C is the number of tons of CO2 emissions per person. What is the 'footprint' of CO2 emissions for a person in 1830??"
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erin is playing darts at the adventure arcade. she scores a bullseye 15% of the time, and she is about to throw 5 darts. how likely is it that she will get at least one bullseye?
the likelihood of Erin getting at least one bullseye in 5 throws is 0.5563 or 55.63%.
To calculate the likelihood of Erin getting at least one bullseye, we need to first calculate the probability of her not getting a bullseye in a single throw. Since she scores a bullseye 15% of the time, the probability of her not getting a bullseye in a single throw is 85% (100% - 15%).
Using the probability of not getting a bullseye in a single throw, we can use the following formula to calculate the probability of not getting a bullseye in all 5 throws:
0.85 x 0.85 x 0.85 x 0.85 x 0.85 = 0.4437
Therefore, the probability of Erin not getting a bullseye in all 5 throws is 0.4437 or 44.37%.
To calculate the probability of Erin getting at least one bullseye in 5 throws, we can subtract the probability of her not getting a bullseye in all 5 throws from 1:
1 - 0.4437 = 0.5563
Therefore, the likelihood of Erin getting at least one bullseye in 5 throws is 0.5563 or 55.63%.
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The probability that Erin will get at least one bullseye in her 5 throws at the adventure arcade is approximately 55.63%.
To find the probability that she will get at least one bullseye in 5 throws, we can use the complementary probability.
This means we will first find the probability of her not getting a bullseye in all 5 throws, and then subtract that from 1.
Find the probability of not getting a bullseye (1 - bullseye probability)
1 - 0.15 = 0.85
Calculate the probability of not getting a bullseye in all 5 throws
0.85^5 ≈ 0.4437
Find the complementary probability (probability of at least one bullseye)
1 - 0.4437 ≈ 0.5563
So, the probability that Erin will get at least one bullseye in her 5 throws at the adventure arcade is approximately 55.63%.
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Area of a triangle with base, b, and height, h:
A = 1/2 bh = 1/(____)(____) =
Area of a rectangle with length, e, and width, w:
A = lw= (______)(______) = .
square feet
Area of base of prism
=
square feet
+
square feet
The area of the triangle is: 15 square feet
The area of a rectangle is: 96 square feet
How to find the area of the composite figure?The formula for the area of a triangle is:
Area = ¹/₂ * base * height
This triangle has the dimensions:
base = 12 ft
height = 2.5 ft
Thus:
Area = ¹/₂ * 12 * 2.5
Area = 15 square feet
The area of a rectangle is:
A = length * width
A = 12 * 8
A = 96 square feet
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Can anyone help me with this geometry question please
The radius of the circle is approximately 22.9 meters when rounded to the nearest tenth.
How to Calculate Radius of a Circle with Given Arc Length?To find the radius of the circle, we need to use the formula:
arc length = radius x central angle (in radians)
Since the central angle is given in degrees, we need to convert it to radians by multiplying it by π/180.
First, let's convert the central angle:
258° x π/180 ≈ 4.5 radians
Now we can plug in the values into the formula and solve for the radius:
102.9 = r x 4.5
r = 102.9 / 4.5
r ≈ 22.9
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Marshall's retirement party will cost $15.60 if he invites 12 guests. What is the maximum number of guests there can be if Marshall can afford to spend a total of $81.90 on his retirement party? Solve using unit rates.
The maximum number of guests that Marshall can invite with a total budget cost of $81.90 is 63 guests.
What does the cost mean?Cost can refer to a variety of measures used to quantify the expense or effort required to solve a problem or perform a task.
For example, in optimization problems, the cost function represents a mathematical function that measures the objective or goal that needs to be minimized or maximized, subject to certain constraints.
According to the given informationFirst, we can find the cost per guest for the retirement party, which is $15.60 ÷ 12 guests = $1.30 per guest.
Next, we can use this unit rate to find the maximum number of guests that Marshall can invite with a total budget of $81.90:
Maximum number of guests = Total budget ÷ Cost per guest
Maximum number of guests = $81.90 ÷ $1.30 per guest
Maximum number of guests = 63 guests (rounded down to the nearest whole number)
Therefore, the maximum number of guests that Marshall can invite with a total budget of $81.90 is 63 guests.
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If triangle PQR is has a right angle at Q and m<R is 45°, what is the length of PR is PQ is 3?
1. 3
2. 2
3. 2√3
4. 3√2
The length of PR of the triangle is 3√2 units
How to determine the length of PR?Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.
The triangle PQR can be drawn as shown in the attached image. Thus, we can say:
sin 45° = 3/PR (sine = opposite/hypotenuse)
1/√2 = 3/PR (Remember: sin 45° = 1/√2)
PR = 3 * √2
PR = 3√2 units
Thus, the length of PR is 3√2 units
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Let a, b, c, and d be positive numbers. Which one of the following is an expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b?
The expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b is ad + bd + ac + bc.
The rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b can be visualized as a rectangle with width d+c and height a+b.
Area is a measurement of the size of a two-dimensional surface, such as a plane or a flat shape.
Therefore, the area of the rectangular region is given by
Area = Width x Height
Substitute the values in the equation and find the expression of area
= (d + c) x (a+b)
= ad + bd + ac + bc
So the expression for the area of the rectangular region is
ad + bd + ac + bc.
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The given question is incomplete, the complete question is:
Let a, b, c, and d be positive numbers. Find the expression for the area of the rectangular region whose boundary is formed by the equations x=−c, x=+d, y=+a, y=−b?
slove and answer x+y=11 2x-y=19
Answer:
x + y = 11
2x - y = 19
--------------
3x = 30
x = 10, so y = 1
please help me find the answer!! this is due tmmr!!
Answer:
Step-by-step explanation:
The radical expressions 2√ and 12−−√ can be combined to become one radical expression through addition or subtraction. True True False
The given statement "The radical expressions √2 and √12 can be combined to become one radical expression through addition or subtraction. " is true because a single radical expression that represents the two original expressions.
When we simplify a radical expression, we try to write it in its simplest form. For example, we know that √4 is equal to 2 because 2 multiplied by itself gives us 4. Similarly, we know that √9 is equal to 3 because 3 multiplied by itself gives us 9.
We can simplify radical expressions further by combining them using addition or subtraction. For example, √4 + √9 is equal to √13 because we can add 2 and 3 to get 5 and take the square root of 5 to get √5.
Now, let's look at √2 and √12. We can simplify √12 to √(4 × 3) because 4 is a perfect square. This gives us √4 × √3, which simplifies to 2√3.
Therefore, we can write √2 + √12 as √2 + 2√3. This is one radical expression that combines the two original expressions using addition. We can also subtract √12 from √2 to get √2 - 2√3, which is another radical expression that combines the two original expressions using subtraction.
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What is the surface area? * W 17' l 21' h 19
To find the surface area of an object, we need to calculate the area of all its faces and add them up.
Assuming that "W" stands for the width, "l" for the length, and "h" for the height, the surface area of the object would be:
Area of the bottom face = length x width = 17' x 21' = 357 square feet
Area of the top face = same as the bottom face = 357 square feet
Area of the front and back faces = height x width = 19' x 17' = 323 square feet (each)
Area of the left and right faces = height x length = 19' x 21' = 399 square feet (each)
Therefore, the total surface area of the object would be:
357 + 357 + 323 + 323 + 399 + 399 = 2158 square feet.
So, the surface area of the object is 2158 square feet.
Five balls, A, B, C, D, and E, weigh 30g, 50g, 50g, 50g, and 80g each. Which ball weighs 30g?
The ball that weighs 30g is ball A.
What is accuracy and precision?The degree to which a measured value resembles the true or recognised value is known as accuracy. On the other hand, precision describes how closely two measurements of the same quantity agree. In other words, precision is a measure of consistency, whereas accuracy is a measure of correctness. The values obtained are consistent but not always close to the genuine value when a measurement is precise but not exact. On the other hand, a measurement might be accurate without being exact, which means that the result is close to the correct value but produces erratic or dispersed results when repeated.
From the given weights corresponding to different balls, 30 g corresponds to ball A.
Hence, the ball that weighs 30g is ball A.
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the key difference between the binomial and hypergeometric distribution is that, with the hypergeometric distribution a. the trials are independent of each other. b. the probability of success changes from trial to trial. c. the random variable is continuous. d. the probability of success must be less than 0.5.
Key difference between binomial distribution and hypergeometric distribution is that with hypergeometric distribution is given by
Option b. the probability of success changes from trial to trial.
In the binomial distribution, each trial is independent of the others.
Probability of success remains constant from trial to trial.
Hypergeometric distribution involves sampling without replacement.
Probability of success changes from trial to trial as the size of the population changes.
Example of drawing cards from a deck.
In the binomial distribution,
if we wanted to know the probability of drawing three hearts in a row.
Probability of drawing a heart would remain constant at 13/52 .
In the hypergeometric distribution,
Probability of drawing three hearts without replacement from a deck of 52 cards.
Probability of drawing a heart would change with each trial.
As the size of the population would be different for each trial.
The other options listed are not correct,
The trials in the hypergeometric distribution are not independent of each other.
Because sampling without replacement affects the probability of success in subsequent trials.
Hypergeometric distribution is a discrete distribution not a continuous one.
Probability of success in the hypergeometric distribution does not have to be less than 0.5.
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¿podemos dividir siempre que el denominador sea distinto de cero?
I need some help pretty please
Answer:
Step-by-step explanation:
Change in Y/Change in X
5- -1/6- -2
5+1/6+2
6/8
3/4
Lona bought two pairs of shoes from her favorite store. The regular price of each pair was $116. With the purchase of one pair of shoes, the second pair was half price. How much did Lona pay for the two pairs of shoes?
What is algebra? Why is it so crucial for mathematics?
Answer:
Algebra is the part of mathematics in which letters and other general symbols represent numbers and quantities in formulae and equations. A system of algebra is based on given axioms.
Step-by-step explanation:
For example α+α+α=3α but α×α×α=α³
or
t=2+1α
when α= 1,2,3
1st term= 3
2nd term=4
3rd term=5
Q. What would be the value of the 5th term?
A. 4th term =6
so 5th term = 7
I hope this is useful and that you give brainliest to me pls
Which expressions are equivalent to 27^4/3?
Select the three correct answers.
A. 4^3
B. (27^1/3)^4
C. 3^1/4
D. 81
D) 81 is equivalent to 27^(4/3).
The expression 27^4/3 can be simplified using the rule that (a^m)^n = a^(m*n). Therefore, we can write,
27^(4/3) = (3^3)^(4/3)
Using the power of a power rule, we can simplify further,
(3^3)^(4/3) = 3^(3*4/3)
Simplifying the exponent, we get,
3^(4)
To check the other answer choices,
A. 4^3 is not equivalent to 27^4/3.
B. (27^1/3)^4 is equivalent to 27^(4/3), which we already simplified to 3^4. Therefore, this expression is also equivalent to 3^4.
C. 3^1/4 is not equivalent to 27^4/3.
D. 81 is equivalent to 3^(4).
Therefore, the expression 27^4/3 is equivalent to 3^4, which is answer choice D) 81.
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Can someone answer this please and thank you.
The blue base is the face (put in 1).
The black line is the edge (put in 2).
The dot up top is the vertex (put in 3).
I WILL MARK BRAINLIEST
When the algebraic expression that was given in words in being evaluated, the outcome would be = 38.
How to evaluate algebraic expressions?The algebraic word given is as follows;
one more than the product of a number and seven. That is;
1 + 7(n)
decreased by five;
1+7(n) -5
where n = 6
The evaluation of the algebraic expression;
= 1+7(6)-5
= 1+42-5
= 43-5
= 38
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please solve correctly my grade depends on it
Just use the pythagorean theorem to solve the hypotenuse!
(3^2)+(2^2)=x^2
9+4=13^2
[tex]\sqrt{13}[/tex] = [tex]\sqrt{x}[/tex]
[tex]13^{2}[/tex] km
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the center line in a tennis court is perpendicular to both service lines. explain why the service lines must be parallel to each other
a coin is tossed 10,000 times. what is the chance that the number of heads will be in the range 4850 to 5150?
The chance that the number of heads will be in the range 4850 to 5150 is approximately 0.9973, or about 99.73%.
The number of heads in 10,000 coin tosses follows a binomial distribution with parameters n = 10,000 (the number of trials) and p = 0.5 (the probability of heads on a single toss).
We can approximate this binomial distribution using the normal distribution, with mean μ = np = 5000 and variance σ² = np(1-p) = 2500.
To find the probability that the number of heads is in the range 4850 to 5150, we can use the normal distribution and standardize the range using the z-score formula:
z = (x - μ) / σ
where x is the number of heads in the range we're interested in.
For the lower bound of 4850, we have:
[tex]z_lower = (4850 - 5000) / \sqrt{(2500)}[/tex]
= -3
For the upper bound of 5150, we have:
[tex]z_upper = (5150 - 5000) / \sqrt{(2500)} = 3[/tex]
Using a standard normal distribution table or calculator, we can find the probability of being within 3 standard deviations of the mean:
P([tex]z_lower[/tex] < Z < [tex]z_upper[/tex] ) ≈ P(-3 < Z < 3)
= 0.9973.
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a plane travels 600 from salt lake city, utah, to oakland, california, with a prevailing wind of 30. the return trip against the wind takes longer. find the average speed of the plane in still air.
the average speed of the plane in still air is s + 30.
Let's call the average speed of the plane in still air "s" (in miles per hour).
We can use the formula:
time = distance / speed
to find the time it takes the plane to travel from Salt Lake City to Oakland with the wind and against the wind.
With the wind:
time with wind = [tex]600 / (s + 30)[/tex]
Against the wind:
time against wind =[tex]600 / (s - 30)[/tex]
time against wind > time with wind
So we can set up an inequality:
[tex]600 / (s - 30) > 600 / (s + 30)[/tex]
Multiplying both sides by [tex](s - 30)(s + 30)[/tex], we get:
[tex]600(s + 30) > 600(s - 30)[/tex]
Expanding and simplifying, we get:
[tex]600s + 18000 > 600s - 18000[/tex]
Subtracting 600s from both sides, we get:
[tex]18000 > -18000[/tex]
This inequality is true for all values of s. In other words, there are no restrictions on the value of s that would make the return trip take longer than the trip with the wind.
Therefore, we can use the average of the two speeds (with and against the wind) to find the average speed of the plane in still air:
Average speed = [tex]2s(s + 30) / (s + 30 + s - 30)[/tex]
Simplifying, we get:
Average speed = [tex]2s(s + 30) / (2s)[/tex]
Canceling the common factor of 2s, we get:
Average speed = s + 30
We know that the distance from Salt Lake City to Oakland is 600 miles, and we can use the formula:
time = distance / speed
to find the time it takes the plane to travel this distance:
time = [tex]600 / (s + 30)[/tex]
We also know that the return trip (against the wind) takes longer, so we can set up another equation:
time return trip =[tex]600 / (s - 30)[/tex]
We can use these two equations to solve for s:
[tex]600 / (s + 30) = 600 / (s - 30)[/tex]
Cross-multiplying, we get:
[tex]600(s - 30) = 600(s + 30)[/tex]
Expanding and simplifying, we get:
[tex]600s - 18000 = 600s + 18000[/tex]
Subtracting 600s from both sides, we get:
[tex]-18000 = 18000[/tex]
This is not a valid equation, so there must be no solution.
However, we can still find the average speed of the plane in still air by using the equation we derived earlier:
Average speed = s + 30
So the average speed of the plane in still air is s + 30. We don't have a specific value for s, but we can say that the average speed is equal to the speed with the wind plus 30 (which is the speed of the wind).
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Using the graph, determine the coordinates of the x-intercepts of the parabola.
Answer:
x = -5, x = 1
As (x, y) coordinates, the x-intercepts are (-5, 0) and (1, 0).
Step-by-step explanation:
The x-intercepts are the x-values of the points at which the curve crosses the x-axis, so when y = 0.
From inspection of the given graph, we can see that the parabola crosses the x-axis at x = -5 and x = 1.
Therefore, the x-intercepts of the parabola are:
x = -5x = 1As (x, y) coordinates, the x-intercepts are (-5, 0) and (1, 0).
Find the area of the image below: (4 points)
answer options:
41 square units
44 square units
52 square units
56 square units
Answer:
4(4) + (1/2)(10)(5) = 16 + 25
= 41 square units
Step-by-step explanation:
The area of the square is 4 × 4 = 16 square units.
The area of the triangle is (1/2) × 10 × 5 = 25 square units.
So the area of the image is 16 + 25 = 41 square units.
the die will be rolled 12 times. let x be the number times the die lands on a green square. x has a binomial distribution. what is a trial? a single roll of the 20-sided die what would be considered a success? a green square how many trials? n
The probability of getting 'p' success when a die rolled 12 times with 'x' success that has binomial distribution is equal to ¹²Cₓ pˣ ( 1 - p )¹²⁻ˣ.
Number of times die to be rolled = 12
In this scenario, a trial refers to a single roll of the 20-sided die.
Here , 'x' represents the the number times the die lands on a green square.
A success would be defined as landing on a green square,
And a failure would be landing on any other color.
Since the die will be rolled 12 times, there are 12 trials in total.
This implies, the number of times the die lands on a green square, x, has a binomial distribution.
With parameters n = 12 the number of trials and p the probability of success which is landing on a green square.
Probability = ⁿCₓ pˣ ( 1 - p )ⁿ⁻ˣ
Therefore, the probability of rolling a die 12 times with 'x' success which has binomial distribution and 'p' probability of success is equal to ¹²Cₓ pˣ ( 1 - p )¹²⁻ˣ.
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