Answer:
A = 19.6 ft²
Step-by-step explanation:
A = πr² Use this equation to find the area of the circle
A = π(2.5)² Multiply
A = π(6.25) Multiply
A = 19.6 ft²
Youself typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
Answer:
54 words per minute
Step-by-step explanation:
36 words / 22/3 per minute
x=36*3/2
x=54
Help asap
in each of the following replace the * with the smallest digit to make it divisble by 11
7,01,69,30*
The smallest number that will make it divisible by 11 is n = 2 and the number is A = 7,01,69,302
Given data ,
Let the missing number be represented as n
Now , the value of the original number is A = 7,01,69,30*
where * represents = n
To make a number divisible by 11, the difference between the sum of the digits in the odd-numbered positions and the sum of the digits in the even-numbered positions must be a multiple of 11.
On simplifying the equation , we get
To make the difference between the sums a multiple of 11, we need to add the smallest digit to the end. The smallest digit is 8
Hence , the number that is divisible by 11 is 7,01,69,302
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A spinner with 10 equal sized slices has 4 yellow slices, 3 red, and 3 blue slices. Kala spun the dial 1000 times and got the following results.
Kala spun the spinner 1000 times and got the following results:
- Yellow: 400 times
- Red: 300 times
- Blue: 300 times
1. Calculate the amount of sales tax:
- The item costs $350 before tax.
- The sales tax rate is 14%.
- To find the sales tax amount, multiply the cost of the item by the tax rate:
Sales tax = $350 * 0.14 = $49.
2. Determine the total cost of the item including tax:
- Add the sales tax amount to the original cost of the item:
Total cost = $350 + $49 = $399.
3. Analyze the spinner results:
- The spinner has 10 equal-sized slices.
- There are 4 yellow slices, 3 red slices, and 3 blue slices.
- Kala spun the dial 1000 times.
4. Calculate the frequency of each color:
- Yellow: Kala got 400 yellow results out of 1000 spins.
- Red: Kala got 300 red results out of 1000 spins.
- Blue: Kala got 300 blue results out of 1000 spins.
5. Calculate the probability of landing on each color:
- Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.
- Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.
- Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.
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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
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".2 3/4 of 500grams in step by step calculator
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
At which f is continuous but not differentiable
Answer:
x at 1
Step-by-step explanation:
There is a corner at 1 making the function not differentiable
a.
b.
c.
d.
please help me
Answer:
b
Step-by-step explanation:
the answer is - 11/12
Find the least number which should be Subtracted from 56037 so that the difference is exactly divisible by 139.
Answer:
Answer will be 55898.
Step-by-step explanation:
help QUICK! i need to finish!
I think you meant to put a pic
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l + 2w ≤ 200.
Answers:
w = 10 ft and l = 50 ft ................> second option
w = 20 ft and l = 60 ft ...............> third option
w = 50 ft and l = 40 ft ...............> fifth option
Explanation:
We are given that:
length should be at least 20 ...........> length ≥ 20
equation for perimeter is : 2l + 2w ≤ 200
We will check each option as follows:
Option 1:
w = 50 ft and l = 10 ft
This option is incorrect as the proposed length is less than 20.
Option 2:
w = 10 ft and l = 50 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(50) + 2(10) = 100 + 20 = 120 ≤ 200
The second condition is also satisfied.
This option is correct
Option 3:
w = 20 ft and l = 60 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(60) + 2(20) = 120 + 40 = 160 ≤ 200
The second condition is also satisfied.
This option is correct
Option 4:
w = 90 ft and l = 30 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(30) + 2(90) = 60 + 180 = 240 > 200
The second condition is not satisfied.
This option is incorrect
Option 5:
w = 50 ft and l = 40 ft
Since the length is greater than 20, the first condition is satisfied.
Now, we check the second condition:
2l + 2w = 2(50) + 2(40) = 100 + 80 = 180 ≤ 200
The second condition is also satisfied.
This option is correct
7 boys to 2 girls is equivalent to which ratio? 21 boys to 6 girls 14 boys to 5 girls 21 boys to 9 girls 42 boys to 12 girls
7:2 = 21:6
This is because 7:6 is a simplified form of 21:6
Hope this helps; have a great day!
-1000 2/3 is not real fraction. True or false
True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.
In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.
To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.
It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.
In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.
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find the 6th term of the geometric sequence whose common ratio is 2/3 and whose first term is 6
The 6th term of the geometric sequence is 192/243
How to determine the 6th term of the geometric sequenceFrom the question, we have the following parameters that can be used in our computation:
Common ratio is 2/3 First term is 6A geometric sequence is represented as
f(n) = a(r)^(n-1)
Substitute the known values in the above equation, so, we have the following representation
f(6) = 6 * (2/3)^(6-1)
Evaluate
f(6) = 192/243
Hence, the solution is 192/243
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An arrow is shot from 3 ft above the top of a hill with a vertical upward velocity of 108 ft/s. If it strikes the plain below after 9.5 s, how high is the hill?
If the arrow is launched at t0, then write an equation describing velocity as a function of time?
The height of the hill is approximately 25.73 ft. Where v0 is the initial velocity (108 ft/s), g is the acceleration due to gravity \((-32.2 ft/s^2)\),
To find the height of the hill, we can use the formula for the vertical position of an object under constant acceleration:
h = h0 + v0t + 1/2at^2
where h is the final height, h0 is the initial height, v0 is the initial velocity, t is the time, and a is the acceleration due to gravity (-32.2 ft/s^2).
In this case, we are given that the initial height h0 is 3 ft, the initial velocity v0 is 108 ft/s, and the time t is 9.5 s. We want to find the height of the hill, which we can denote as h_hill. The final height is the height of the plain, which we can denote as h_plain and assume is zero.
At the highest point of its trajectory, the arrow will have zero vertical velocity, since it will have stopped rising and just started to fall. So we can set the velocity to zero and solve for the time it takes for that to occur. Using the formula for velocity under constant acceleration:
v = v0 + at
we can solve for t when v = 0, h0 = 3 ft, v0 = 108 ft/s, and a = -32.2 ft/s^2:
0 = 108 - 32.2t
t = 108/32.2 ≈ 3.35 s
Thus, it takes the arrow approximately 3.35 s to reach the top of its trajectory.
Using the formula for the height of an object at a given time, we can find the height of the hill by subtracting the height of the arrow at the top of its trajectory from the initial height:
h_hill = h0 + v0t + 1/2at^2 - h_top
where h_top is the height of the arrow at the top of its trajectory. We can find h_top using the formula for the height of an object at the maximum height of its trajectory:
h_top = h0 + v0^2/2a
Plugging in the given values, we get:
h_top = 3 + (108^2)/(2*(-32.2)) ≈ 196.78 ft
Plugging this into the first equation, we get:
h_hill = 3 + 108(3.35) + 1/2(-32.2)(3.35)^2 - 196.78
h_hill ≈ 25.73 ft
If the arrow is launched at t0, the equation describing velocity as a function of time would be:
v(t) = v0 - gt
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suppose that 22 inches of wire cost 66 cents. how much will 38 inches of wire cost in cents?
Answer:
114 cents
Step-by-step explanation:
1. 66÷22=3 cents per inch
2. 3×38=114
3. 114 cents ($1.14) for 38 inches
What is the quotient of 4 and 2 over 3Division sign 2 over 3?
Answer:
9 1/3
Step-by-step explanation:
4 2/3 ÷ 2/3
=14/3 ÷ 2/4
=14/3 · 4/2
=28/3
=9 1/3
ANSWER NOW
In a game that you are playing, your friend says that she has -6 points "give or take" 4 points . You currently have -3 in the game . Can you say who is winning? why or why not .
Use a number line to explain if u want
Answer: The correct answer is No, you cannot determine who is winning.
Step-by-step explanation:
Why you cannot determine who is winning:
Your Score is -3
Your friend is -6 (plus or minus 4 points)
Therefore, the deviation in your friend's score is:
(-6+4) to (-6-4)
Your friend's score is between -2 to -10
Whether the highest or lowest score wins:
Since your score is -3, your friend would win with -2 or tie with -3 (or lose with less). Therefore, you cannot determine who would win based on your friend's score being in a range between -2 to -10.
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NEED ALGEBRA HELP!
Pls help I will do anything :(
SHOW YOUR WORK!!! PLEASE HELP!!! ASAP!!!!
Answer:
84
Step-by-step explanation:
TPS + SPR = RPT and TPS = RPT - SPR
The measure of RPT and SPR are given so we just need to place them and do the calculation
TPS = 137 - 53
TPS = 84
Which of the following conclusions do you draw if the p-value is not small enough to convincingly rule out chance?
a. We cannot reject the null hypothesis.
b. We accept the null hypothesis.
c. We are convinced that chance alone produced the observed results.
d. We accept the alternative hypothesis.
The conclusion is option A, we cannot reject the null hypothesis.
What is hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
The null hypothesis cannot be rejected for the entire population if your sample is not sufficiently incompatible with it, which can be determined if your P value is small enough.
Therefore, we can not reject the hypothesis.
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Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
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Efectué las siguientes operaciones combinadas aplicando las propiedades de la potenciación
(-3)^4 × ((-2)^2)^2 × ((-5)^3)^2/(-10)^2
Answer:
202500
Step-by-step explanation:
(-3)^4 × ((-2)^2)^2 × ((-5)^3)^2/(-10)^2 =
= 81 × (4)^2 × ((-125)^2/100
= 81 × 16 × 15625/100
= 1296 × 15625/100
= 20250000/100
= 202500
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
The coordinates of the vertices for the image is A′(−3, 6), B′(0, 10), C′(−3, 3).
The vertices of the preimage triangle ABC are given as A(-3,3), B(0,7), and C(-3,0). To translate the preimage 3 units up, we need to add 3 to the y-coordinate of each vertex. Therefore, the vertices of the image triangle A'B'C' will be A'(-3,6), B'(0,10), and C'(-3,3). Thus, option B, A′(−3, 6), B′(0, 10), C′(−3, 3), is the correct answer.
To check the answer, we can plot the points on a coordinate plane and observe that the image triangle is obtained by moving the preimage triangle 3 units up. Translation is a type of transformation in which the position of a figure is changed without changing its shape or orientation.
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Which of the following is used to represent complex numbers?
A.
x2 + y
B
C.
bi + 2
D.
a + bi
Answer: D) a+bi
Where both a and b are real numbers.
In your textbook, you might see \(a,b \in \mathbb{R}\) to indicate that they are real numbers.
An example would be 7+13i, where a = 7 and b = 13.
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer: 46.0 ft
Step-by-step explanation:
\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)
So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)
31-+=16
28+b=50
33+c=54
52-n+=24
The solution to the equations are b = 15, b = 22, c = 21 and n = 28
How to determine the solution to the equationsFrom the question, we have the following equations that can be used in our computation:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
Next, we collect the like terms in each of the equation
This gives
b = 31 - 16
b = 50 - 28
c = 54 - 33
n = 52 - 24
Lastly, we evaluate the like terms
b = 15
b = 22
c = 21
n = 28
The above are the solutions to the equations
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Question
Solve the following equations:
31 - b = 16
28 + b = 50
33 + c = 54
52 - n = 24
the graph is _ throughout its domain and has _ at the x-axis because the value bx can get very close to 0 but never reach it
Answer:
Increasing and an asympote
Step-by-step explanation:
Answer:
Increasing and asympote
Step-by-step explanation:
i got right
An airplane uses 79% of a tank of fuel to fly 1,496 miles. If a full tank holds 996 gallons of fuel, how many gallons would plane use to fly 3,016 miles.
Answer:
jcjdhuuuehfhvhcuuccdhjeicbw
Step-by-step explanation:
baj8yvyruf
Which of the following are not trigonometry identities? Check all that apply
Answer:A
Step-by-step explanation:
Good luck on the exam!
The probability of being right-handed is 0.9. The probability that someone plays chess given that they are left- handed is 0.6. Research shows that one's dominant hand and playing chess are probabilistically independent.
Assuming that there are no ambidextrous people, what is the probability of someone being a right-handed chess player?
0.04
O 0.54
O 0.46
O 0.06
The probability of someone being a right-handed chess player is 0.962, or approximately 0.96
Now, We have to given that;
The probability of being right-handed (R) is 0.9 and the probability of playing chess (C) given that someone is left-handed (L) is 0.6.
And, We are also told that dominant hand and playing chess are independent, so this means that the probability of playing chess is the same regardless of whether someone is left-handed or right-handed.
Hence, the probability of someone being a right-handed chess player, we can use the following formula:
P(R and C) = P(R) x P(C)
We know that P(R) = 0.9,
and since playing chess is independent of handedness,
P(C) = P(C|L) + P(C|R) = 0.6 + P(C|R).
We want to find P(C|R), the probability of playing chess given that someone is right-handed.
We can use the fact that the probabilities must add up to 1 to solve for P(C|R):
P(C|R) = 1 - P(not C|R)
We know that;
P(not C|R) = 1 - P(C|R),
so we can substitute to get:
P(C|R) = 1 - (1 - P(C|R)) = 2P(C|R) - 1
Now we can substitute this back into the original formula and solve for P(R and C):
P(R and C) = P(R) x P(C) P(R and C) = 0.9 x (0.6 + P(C|R))
P(R and C) = 0.54 + 0.9P(C|R)
Finally, we use the fact that the probabilities must add up to 1 to solve for P(C|R):
P(C|R) = 1 - P(not C|R) P(C|R)
= 1 - P(no C and R) / P(R) P(C|R)
= 1 - P(R and not C) / P(R) P(C|R)
= 1 - (0.1 x 0.4) / 0.9
P(C|R) = 0.5333
Now we can substitute this back into the equation for P(R and C) to get:
P(R and C) = 0.54 + 0.9(0.5333...)
P(R and C) = 0.962
Therefore, the probability of someone being a right-handed chess player is 0.962, or approximately 0.96
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