The domain of this function is n ≥ 1, where n is the round of the tournament.
What is domain and range of the function?The domain and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The explicit rule for T(n), the number of games in the nth round of the tournament is 2ⁿ⁻¹. The domain of this function is n ≥ 1, where n is the round of the tournament.
Since all teams play in the first round, the number of games in the first round (n = 1) is 2¹⁻¹, which is equal to 1. As the rounds progress, the number of games in each round is doubled. T
herefore, the number of games in the second round (n = 2) is 2²⁻¹, which is equal to 2. The number of games in the third round (n = 3) is 2³⁻¹, which is equal to 4.
This pattern continues for each round, as the number of games in the nth round is 2ⁿ⁻¹.
Therefore, the domain of this function is n ≥ 1, where n is the round of the tournament.
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An ice cream shop has a sign in the shape of an ice cream cone. The sign is made using a semicircle and a triangle, as modeled below.
Which is the best estimate of the area of the sign in square inches?
Answer: 50in²
Step-by-step explanation:
The area of the ice cream cone will be equal to 50.13 square inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the semicircle in a two-dimensional plane is called the area of the semicircle.
The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
Given that the diameter of the semicircle is 6 inches and the height of the triangle is 12 inches.
The area of the cone will be calculated as,
A = Area of semicircle + Area of triangle
A = (1/2)πr² + (1/2) x B x H
A = (1/2) π (3)² + (1/2) x 12 x 6
A = 14.137 + 36
A = 50.13 square inch
Therefore, the area of the ice cream cone will be equal to 50.13 square inches.
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Can you figure it out
plssssssssssssss
Please answer the question and provide a solid definition of what an expression is, thank you :)
Answer:
The answer for x is 18
Step-by-step explanation:
You may realize that we have not yet discussed the distance around a very important geometric shape: a circle! The distance around a circle has a special name called the circumference. To find the circumference of a circle, we use this formula: C = 2πr
In this formula, π is pronounced “pi,” and is defined as the circumference of a circle divided by its diameter:
π
=
C
d
. We usually replace π with the approximation 3.14. The letter r represents the radius of the circle.
Let’s see where the formula for circumference comes from. Figure 4 shows a generic circle with radius r.
Answer:
Step-by-step explanation:
An expression is a sort of equation but without any number after the equal to sign
so 2x-7 would be an expression but 3x would not be a expression
3x is just a term
2+7 would also not be an expression because this can be simplified into 9 which is not a expression
2x-7=14 is not a expression cuz it has the equal to sign
-14 is not a expression because its a single number
Can I get help finding the value of m and n
9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
juan utiliza su bicicleta para hacer deporte cada dia recorre 10 kilometros a la mañana y 5 kilometros a la tarde ¿cuantos kilometros recorre e total al cabo de 5dias?
Answer:
75 kilómetros.
Step-by-step explanation:
Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días se debe realizar el siguiente cálculo:
(10 + 5) x 5 = X
15 x 5 = X
75 = X
Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.
An agricultural researcher wishes to see if a kelp extract prevents frost damage on tomato plants. two similar small plots are going to be planted with the same variety of tomato. plants in both plots are treated identically, expect the plants on plot 1 are going to be sprayed weekly with a kelp extract while the the plants in a plot 2 are not. let p1 and p2 be the actual proportion of all tomatoes of this variety that would experience crop damage under the kelp and no kelp treatments, respectively, when grown under conditions similar to those in the experiment. which of the following results would indicate that a difference exists between the two treatments?
(a) the 95% confidence interval for p1-p2 is (-0.279, -0.035).
(b) the 95% confidence interval for p1-p2 is (-0.279, 0.035)
(c) the 95% confidence interval for p1-p2 is (0.0279, 0.350)
(d) all of the above
(e) only (a) and (c)
Answer:
(E). only (a) and (c)
Step-by-step explanation:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
To indicate that difference exists between the two treatments, then we must reject the null and confidence interval must show that the difference between the two treatment is significant.
In other to use confidence interval to test for significance ; Intervals which do not contain 0 implies that difference exists and hence, the difference is significant.
The interval Given by : (-0.279, -0.035) is significant as the interval does not contain 0.
The interval Given by : (0.279, 0.035) is significant as the interval does not contain 0.
The interval Given by : (-0.279, 0.035) is not significant as the interval contains 0.
Write an equation for the line that is parallel to the given line and that passes through the given point.
Answer:
You just have to put it into Geogebra Classic. It's a great help for this kind of stuff
Is this set of ordered pairs a function or not a function?
{(3, 2) (3,5) (4, 6) (7, 8)}
Answer:
Not a function
Step-by-step explanation:
The reason the ordered pairs are not a function is because there is no real equation that can get the correct x and y for each. Along with 3 being a x-value twice, which is also a key sign that it's not a function.
7.
Potassium-42 has a half-life of 12.4 hours. How much of an 848 gram sample of potassium-42 will be left after 62.0 hours?
The required amount of potassium-42 left after 62.0 hours is 26.5 grams.
Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.
The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.
Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram
Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.
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three consecutive integers have a sum of 255 find the integers
Answer:
Step-by-step explanation:
Givens
Let the smallest integer = x - 1 (You'll see why in a moment).
Let the middle integer = x
Let the largest ingeger = x + 1
Equation
x - 1 + x + x + 1 = 255
Solution
Combine like terms on the left.
3x - 1 + 1 = 255
3x = 255 Divide by 3
3x/3 = 255/3
x = 85
So the smallest number is 84
The middle number is 85
The largest number is 86
Total 255
Do you see why I made the smallest number x - 1?
It is because the -1 and the plus 1 cancel out.
Please realize the question says consecutive integers. It does not say consecutive odd or consecutive even integers.
Charlie Co. owes $800,000 to Tilly, Inc. from whom Charlie buys its inventory. Which account would Charlie use to report the amount owed?
Answer:
I would use chase bank, checking account. they have really good over draft protection.
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
Can i get help with this math problem please? Thanks.
Answer:
(x+3), (y+9)
Step-by-step explanation:
Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).
To get from a point on [tex]y[/tex] to the corresponding point on [tex]y_{1}[/tex], you would move 3 to the right and 9 up, so it would be (x+3), (y+9)
What is the part of the steam engine that does the work?
the flywheel
the piston
the turbine
the cylinder
Answer:
Piston
Step-by-step explanation:
Because i took the test ..................................
Can someone please help me with my homework its due in two hours!!!!!! Please i need it done soon.
Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
PLEEEAAASSSE HELP!!!! NEED ASAP!! Thank you!!!!
Answer:
The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{a}{b} :\frac{c}{d} = \frac{a}{b} * \frac{d}{c}[/tex]Solve for the given:
[tex]\frac{x+1}{y}: \frac{g+1}{h} =[/tex][tex]\frac{x+1}{y}* \frac{h}{g+1}[/tex]Correct choice is D
(MATH) (6) ((PHOTO))
label is yd
Answer:
L = 8yd
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
L×5¾yd×2½yd = 115 yd³
14⅜L = 115
L = 115 ÷ 14⅜
L= 8
Which expression is equivalent to 3m-1+m ?
Answer:
The answer is 4m-1
Step-by-step explanation:
Answer:
2 + m -1 + m
Step-by-step explanation:
I need help with this by Wednesday Please Help!!!!!
Answer:
Step-by-step explanation:
To complete the given table we will substitute the output value to calculate the input value.
Given function is,
y = 2x + 4
For output value, y = 18
18 = 2x + 4
2x = 18 - 4
x = 7
For output value, y = 22
22 = 2x + 4
2x = 22 - 4
x = 9
For output value, y = 34
34 = 2x + 4
2x = 34 - 4
2x = 30
x = 15
Therefore, table will be,
Input (x) y = 2x + 4 output
7 18
9 22
15 34
Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box
Answer:
Area of cardboard required = 468 cm²
Step-by-step explanation:
Area of the cardboard required = Surface area of the triangular prism
Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides
Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 cm²
Area of lateral sides = Perimeter of the triangular base × Height
Perimeter of the triangular base = 9 + 12 + 15
= 36 cm
Now area of the lateral sides = (36) × 10
= 360 cm²
Surface area of the prism = 360 + 2(54)
= 360 + 108
= 468 cm²
Therefore, area of cardboard required for each box = 468 cm²
I don’t know the answer
Answer:
(a+b) (a-b) =a^2 - b^2
In this question a=2, b=square root of 5
So 2*2=4 square root of 5 times square root of 5 is 5
4-5=-1
Answer:
I believe the answer is -1.
Step-by-step explanation:
So I distributed,
2 x 2 = 4
[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5
4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?
the radicals cancel out and 4 -5 = -1
Solve for x, then
find the
measurement of
the tangents.
Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as
since the sides opposite to the equal angles are always equal we get as,
x-2 = 2x-10
===> -2 +10 = 2x-x
==> 8 = x
hence the measurement of the Tangents is,
putting x = 8
2(8)-10 ==> 16-10 ==> 6 cm
length of each tangent is 6 cm.
Answer:
8
Step-by-step explanation:
2x - 10 = x - 2
2x - x = - 2 + 10
x = 8
what’s the slope?? Please help
Answer:
Slope of the line represented by the table is 2.5.
Step-by-step explanation:
For a linear function,
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 12) and (-2, 7) will be,
Slope = [tex]\frac{12-7}{0-(-2)}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Therefore, slope of the line represented by the table is 2.5.
Pls help! College Math!
Answer:
13+5 = 18
2-(5+4) = -7
3(2-13) +2(4) = -25
a = -9/2
Step-by-step explanation:
[tex]\int\limits^3_0 {(a f(x) + g(x))} \, dx = 0[/tex]
a(2) + (5+4) = 0
2a = -9
a = -9/2
what I the Tangent of the 30° angle and the Tangent of the 60° angle?
Answer:
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find [tex]\tan(30)[/tex] and [tex]\tan(60)[/tex]
The tangent of an angle is calculated as:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(30) = \frac{b}{a}[/tex]
This gives:
[tex]\tan(30) = \frac{3}{3\sqrt 3}[/tex]
3 cancels out
[tex]\tan(30) = \frac{1}{\sqrt 3}[/tex]
Rationalize
[tex]\tan(30) = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
Similarly;
[tex]\tan(60) = \frac{a}{b}[/tex]
This gives:
[tex]\tan(60) = \frac{3\sqrt 3}{3}[/tex]
3 cancels out
[tex]\tan(60) = \sqrt 3[/tex]
HELP NOW
Which of the following is not true about every parallelogram?
Answer:
C
Step-by-step explanation:
jam brought three shirts for $3900 what is the cost of five shirts
Answer:
6,500
Step-by-step explanation:
Answer:
6500
Step-by-step explanation:
3900 divided by 3 is 1300 which is the cost of 1 shirt, so 1300 times 5 is 6500
Part D
What is the total volume of the cubic blocks?
Answer:
Volume of cubical tank = 0.278 yard³ (Approx.)
Step-by-step explanation:
Given:
Length of tank = 1/2 yard
Width of tank = 1/6 yard
Height of tank = 1/3 yard
Find:
Volume of cubical tank
Computation;
⇒ Volume of cubic block = (length)(width)(height)
⇒ Volume of cubical tank = (1/2)(1/6)(1/3)
⇒ Volume of cubical tank = 1/36 yard³
Volume of cubical tank = 0.278 yard³ (Approx.)
Answer: 1/36
Step-by-step explanation: This is the plato answer
please, someone, help me
Answer:
282.7 in³
Step-by-step explanation:
The solid is a cylinder
Volume of the cylinder = πr²h
Where,
radius (r) = 3 in.
height (h) = 10 in
Volume = π*3²*10
= π*9*10
= π*90
= 282.743339 ≈ 282.7 in³ (nearest tenth)
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber
band, records the color, and returns it to the bag. She does this a total of 50 times
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag, and then select a green rubber band?
Click the arrows to choose an answer from each menu.
Based on the given information, the probablity that Ms. Florina will select a blue rubber band is
Choose... and the probability that she will select a green rubber band is
Choose... The probability that she will select a blue rubber band, return it to the bag,
and then select a green rubber band is Choose...
Answer:18/25 1/5 14/25
Step-by-step explanation:
The probability we have to choose 18/25 1/5 14/25.
Ms. Florina buys a bag of different-colored rubber bands. She randomly selects a rubber.
band, records the color, and returns it to the bag. She does this a total of 50 times.
and selects 8 red, 18 blue, 10 green, and 14 yellow rubber bands.
Based on this information, what is the probability that Ms. Florina will select a blue rubber
band, return it to the bag and then select a green rubber band
Click the arrows to choose an answer from each menu.
What is the formula for probability?
It is expressed as, Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).
Based on the given information, the probability that Ms. Florina will select a blue rubber band is,
Therefore the probability we have to choose 18/25 1/5 14/25.
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