Answer:
A: s ≤ 6g
Step-by-step explanation:
Had this on a test that I scored 100 on.
The inequality that is true if winning 6 games doesn't guarantee you as a winner in the set is 6s ≤ g.
What are inequalities?An inequality is a relationship that makes a comparison between two non-equal values, integers or other mathematical equations.
From the given information, we have the following claim that:
A player must win 6 games in order to win a set. But winning those 6 games doesn't guarantee winning the set.So, we are given certain condition attached that;
If "g" = number of games won, and "s" = number if set won.Then, the inequality that is true for this condition is 6s ≤ g.
It implies that, the player truly won the six games but it doesn't guarantee him winning the set.
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i need some help with this!
Answer:
A. 4.19 yd³
Step-by-step explanation:
Volume of a sphere = 4/3πr³
V = 4/3 ( 3.14) (1³)
= 4/3 ( 3.14) (1)
= 4.19 yd³
Answer:
[tex]A\approx 4.19\ yd^2[/tex]
Step-by-step explanation:
The following formula can be used to find the volume of a sphere,
[tex]A=\frac{4}{3}(\pi)r^3[/tex]
Where (r) represents the radius of the sphere or the distance from the center of the sphere to its outer edge. The term ([tex]\pi[/tex]) represents the numerical constant ([tex]3.1415...[/tex]). In this problem, one is given that the radius of the sphere is (1). Substitute this value into the formula and simplify to solve,
[tex]A=\frac{4}{3}(\pi)r^3[/tex]
[tex]A=\frac{4}{3}(\pi)(1)^3[/tex]
[tex]A=\frac{4}{3}(\pi)1[/tex]
[tex]A=\frac{4}{3}(\pi)[/tex]
[tex]A\approx \frac{4}{3}*3.14[/tex]
[tex]A\approx \frac{12.56}{3}[/tex]
[tex]A\approx 4.19\ yd^2[/tex]
Find the volume of the following figure round your answer to the nearest tenth if necessary and use pi
Answer:
Volume = 1152 x pi km^3
Step-by-step explanation:
Volume = 1/3 x pi x r^2 x h
Volume = 1/3 x pi x 12^2 x 24
Volume = 1152 x pi
y varies directly as the cube of x. When x = 3, then y = 7. Find y when x = 4.
Answer:
[tex]y \: \alpha \: {x}^{3} \ \\ y \: = k {x}^{3} \\ where \: y = 7 \: and \:x = 3 \\ y = k {x}^{3} \\ 7 = k ( {3)}^{3} \\ 7 = 27k \\ k = \frac{7}{27} \\ \\ so \: \: y = \frac{7}{27} {x}^{3} \\ \\ y = \frac{7}{27} {4}^{3} \\ y = \frac{448}{27} [/tex]
the required value of y at x = 4 is 16.64.
Given that,
y varies directly as the cube of x. When x = 3, then y = 7.To determine the y when x = 4.
Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here,
y is directly proportional to the cube of x i.e
y ∝ x³
y = kx³ - - - - - (1)
where k is proportionality constant,
At x = 3 y = 7
7 = k (3)³
7 / 27 = k
k = 0.26
Put k in equation 1
y = 0.26 x³
Now at x = 4
y = 0.26 * 4³
y = 0.26 * 64
y = 16.64
Thus, the required value of y at x = 4 is 16.64.
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4) If the area of a square is 48cm²,
What is the length of each side?
Simplify your answer.
Answer:
4 sqrt(3) cm
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
48 = s^2
Take the square root of each side
sqrt(48) = sqrt(s)
sqrt(16*3) = s
4 sqrt(3) =s
Answer:
4√3 cm
Step-by-step explanation:
The area of square = s²
s meaning side. Remember, by definition of a square, all the sides have equal measurements.
Set the equation:
Area of square = 48cm²
48cm² = s²
Isolate the variable, s. Note the equal sign, what you do to one side, you do to the other. Root both sides of the equation:
√48cm² = √s²
s = √48 = √(8 x 6) = √(2 x 2 x 2 x 3 x 2) = (2 x 2)√3 = 4√3
4√3 cm is your length for a side.
~
Write the equation of the trigonometric graph
Answer:
y = sin(4(x+π/8)) + 1
Step-by-step explanation:
For a trigonometric equation of form
y = Asin(B(x+C)) + D,
the amplitude is A, the period is 2π/B, the phase shift is C, and the vertical shift is D (shifts are relative to sin(x) = y)
First, the amplitude is the distance from the center to a top/bottom point (also known as a peak/trough respectively). The center of the function given is at y=1, and the top is at y=2, Therefore, 2-1= 1 is our amplitude.
Next, the period is the distance between one peak to the next closest peak, or any matching point to the next matching point. One peak of this function is at x=0 and another is at x= π/2, so the period is (π/2 - 0) = π/2. The period is equal to 2π/B, so
2π/B = π/2
multiply both sides by b to remove a denominator
2π = π/2 * B
divide both sides by π
2 = 1/2 * B
multiply both sides by 2 to isolate b
4 = B
After that, the phase shift is the horizontal shift from sin(x). In the base function sin(x), one center is at x=0. However, on the graph, the closest centers to x=0 are at x=± π/8. Therefore, π/8 is the phase shift.
Finally, the vertical shift is how far the function is shifted vertically from sin(x). In sin(x), the centers are at y=0. In the function given, the centers are at y=1, symbolizing a vertical shift of 1.
Our function is therefore
y = Asin(B(x+C)) + D
A = 1
B = 4
C = π/8
D = 1
y = sin(4(x+π/8)) + 1
Answer(s):
[tex]\displaystyle y = sin\:(4x + \frac{\pi}{2}) + 1 \\ y = -cos\:(4x \pm \pi) + 1 \\ y = cos\:4x + 1[/tex]
Explanation:
[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{8}} \hookrightarrow \frac{-\frac{\pi}{2}}{4} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1[/tex]
OR
[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{2}} \hookrightarrow \frac{2}{4}\pi \\ Amplitude \hookrightarrow 1[/tex]
You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = sin\:4x + 1,[/tex] in which you need to replase “cosine” with “sine”, then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{8}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{8}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{8}} = \frac{-\frac{\pi}{2}}{4}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = sin\:(4x + \frac{\pi}{2}) + 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 2],[/tex] from there to [tex]\displaystyle [\frac{\pi}{2}, 2],[/tex] they are obviously [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] apart, telling you that the period of the graph is [tex]\displaystyle \frac{\pi}{2}.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex] in which each crest is extended one unit beyond the midline, hence, your amplitude. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.
I am delighted to assist you at any time.
The sum of a rational and irrational number is
Answer:
It will be irrational
Step-by-step explanation:
irrational+rational=irrational
5.
A number is squared, then multiplied by 6. The result is 54. What was the number?
Answer:
Answer:
± 3
Step-by-step explanation:
let n be the number then the number squared is n² , so
6n² = 54 ( divide both sides by 6 )
n² = 9 ( take the square root of both sides )
n = ± [tex]\sqrt{9}[/tex] = ± 3
That is the number is 3 or - 3
Need help ASAP!
Write a formula for the distance from A (-1, 5) to P (x, y), and another formula for the distance from P (x, y) to B (5, 2). Then write an equation that says that P is equidistant from A and B. Simplify your equation to linear form. This line is called the perpendicular bisector of AB. Verify this by calculating two slopes and one midpoint.
Thanks!
Answer:
Step-by-step explanation:
A=(-1,5)
B=(5,2)
P=(x,y)
AP²=(x+1)²+(y-5)²=x²+2x+1+y²-10y+25
BP²=(x-5)²+(y-2)²=x²-10x+25+y²-4y+4
AP²=BP² ==> 12x-6y=3 or y=2x-1/2
Proof:
[tex]AB\ slope=\dfrac{2-5 } { 5+1 } =-\frac { 1 } { 2 } \\\\perpendicular\ slope =2\\\\middle\ of\ AB=(2, \frac{7}{2} )\\\\perpendicular\ bisector:\ y-\frac{7}{2} =(x-2)*2\\\\y=2x-\dfrac{1}{2} \\\\[/tex]
What is the solution to the system of equations below?
2x+3y=6
x-3y=9
Answer:
Step-by-step explanation:
2x + 3y = 6
2x = 6-3y
x = (6-3y)/2
x - 3y = 9
(6-3y)/2 -3y = 9
(6-3y)/2 -6y/2 = 9
(6-9y)/2 = 9
6 - 9y = 9×2
-9y = 18-6
y = 12/-9
y = -4/3
2x + 3y = 6
2x + 3(-4/3) = 6
2x -4 = 6
2x = 6+4
2x = 10
x = 10/2
x = 5
Therefore x = 5 and y = (-4/3)
I used subsitution method
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Answer:
x = 5; y = -4/3
Step-by-step explanation:
One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.
2x + 3y = 6
(+) x - 3y = 9
---------------------
3x = 15
x = 5
2x + 3y = 6
2(5) + 3y = 6
3y + 10 = 6
3y = -4
y = -4/3
Answer: x = 5; y = -4/3
The black graph is the graph of
y = f(x). Choose the equation for the
red graph.
a. y = f(2x)
b. y=f)
C. 2y = f(x)
d. = f(x)
9514 1404 393
Answer:
c. 2y = f(x)
Step-by-step explanation:
Each point on the red graph is half the distance from the x-axis as the same point on the black graph. That is, the vertical scale factor is 1/2:
y = (1/2)f(x)
Multiplying this equation by 2 gives one that matches an answer choice:
2y = f(x)
A stone is dropped of a 1296-ft-cliff. The height of the stone above the ground is given by the equation h= - 16t^2+1296, where h is the stone’s height in feet, and t is the time in seconds after the stone is dropped. Find the time required for the stone to hit the ground.
When stone hits the ground, it's height will be zero, and since we're finding the time that's required for the stone to hit the ground, we can set h = 0 and solve for t.
The time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
A stone is dropped of a [tex]1296[/tex]-ft-cliff. The height of the stone above the ground is given by the equation [tex]h=-16t^2+1296[/tex], where [tex]h[/tex] is the stone’s height in feet, and [tex]t[/tex] is the time in seconds after the stone is dropped.
So,
[tex]h=-16t^2+1296\\\\v(t)=\frac{ds}{dt}=-32t+0\\\\=-32t\\\\\\a(t)=\frac{dv}{dt}=-32[/tex]
When [tex]s(t)=0[/tex] now solve it for [tex]t[/tex] so,
[tex]-16t^2+1296=0\\\\t^2=\frac{1296}{16}\\\\t^2=81\\\\t=\sqrt{81}\\\\t=9seconds[/tex]
When [tex]t=9[/tex] so,
[tex]v(9)=-32(9)\\\\v(9)=-288[/tex]
nd
[tex]a(9)=-32[/tex]
Hence, the time required for the stone to hit the ground[tex]v(9)=-288,a(9)=-32[/tex].
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Find the indicated power using De Moivre’s Theorem (−5−5sqrt 3i)^3
-5 - 5√3 i = -5 (1 + √3 i )
We have modulus
|-5 (1 + √3 i )| = 5 √(1² + (√3)²) = 5√4 = 10
and argument
arg(-5 - 5√3 i ) = π - arctan(√3) = 2π/3
(we subtract from π because the given complex number lies in the third quadrant of the complex plane, whereas the arctan function only returns angles between -π/2 and π/2)
so that the polar form of the number is
-5 - 5√3 i = 10 exp(2π/3 i )
By DeMoivre's theorem, we have
(-5 - 5√3 i )³ = 10³ exp(3 × 2π/3 i ) = 1000 exp(2πi ) = 1000
Find the distance between (6,6) & (-6,2)
Round your answer to the nearest 100th
Answer:
65
Step-by-step explanation:
show your work and practic
Find the surface area of the prism
Answer:
376
Step-by-step explanation:
Area Prism=2(lw+wh+lh)=2(8*6+8*10+6*10)=376Your parents deposit 2 50-dollar bills at the bank.
How much money did they deposit?
Answer: $100
Step-by-step explanation:
Considering 50 + 50 = 100
This means that the amount of money is $100
Which of the following ordered pairs
make this equation true?
y = x-3
A (3)
B. (1,-4)
C (2, 1)
D. (0, 3)
Answer:
D. (0, 3)
Step-by-step explanation:
Simplify the following expression.
3(2k + 3) -8k + 5 + 5
Answer:
Step-by-step explanation:
3*(2k + 3) - 8k + 5 + 5 Remove the brackets on the left
6k + 9 - 8k + 5 + 5 Combine like terms
6k-8k+9 + 5 + 5
-2k + 19
3x^2+4x-5 find the coefficient
HELLO THERE
3 and 4 is the answer
I hope I helped
What is the measure of ∠EFG in the triangle shown?
options:
A)
59°
B)
58°
C)
56°
D)
57°
Answer:
B
Step-by-step explanation:
57+65= 122
180-122= 58
Answer:
58
Step-by-step explanation:
Angles in a triangle add up to equal 180
So 65 + 57 + ? must equal 180
Solve for ?
65 + 57 + ? = 180
Combine like terms
122 + ? = 180
Subtract 122 from both sides
122 - 122 + ? = 180 - 122
? = 58
help pls, i have to get this correct
Answer:
Table C
Step-by-step explanation:
r = j+3
In table A
j = 12 so r = 12+3 = 15 not true so it does not fit the equation
In table B
j = 3 so r = 3+3 = 6 not true so it does not fit the equation
In table C
j = 6 so r = 9+3 = 9 this could be the table
In table D
j = 27 so r = 27+3 = 30 not true so it does not fit the equation
Chad has a win loss ratio 5:5 across his games what percentage of games did he win
Answer:
Step-by-step explanation:
50%
Answer:
50%
Step-by-step explanation:
Win % = wins / total * 100%
Win% = (5/(5 + 5)) * 100
Win% = 5/10 * 100 = 50%
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements is true? a. Kinsey will meet her goal and does not need to adjust her plan. b. Kinsey must save $72 per month to achieve her goal. c. Kinsey must save $75 per month to achieve her goal. d. Kinsey will not be able to achieve her goal. Please select the best answer from the choices provided A B C D
Answer:
b. Kinsey must save $72 per month to achieve her goal.
Step-by-step explanation:
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed5 months lefts$360 ÷ 5 = $72
Kinsey must save $72 per month to achieve her goal. The answer we got by converting the sentence to Equation and solving.b is the required answer.
Kinsey has a plan to save $60 a month for 16 months so that she can purchase a new television. After 11 months Kinsey has saved $600. If the most that Kinsey can possibly save is $80 per month, which of the following statements given is true.
What is an Equation?Two expressions with equal sign is called equation.
Goal over 16 months: $60 x 16 = $960
Collected after 11 months: $600
$360 still needed
5 months lefts
$360 ÷ 5 = $72
Therefore Kinsey must save $72 per month to achieve her goal.
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Question 20 plz show ALL STEPS and hurry PLEASE
Answer:
(a) You will get ten
Step-by-step explanation:
single cell = 3 min
30 min = ?
30 divided by 10 = 3
Have a good day!
According to the Venn Diagram below and given that P(A) = 3 as well as
P(B) = 35 what is P(AUB)?
A. 65
B. 75
C. 55
D. 45
help me now where are you all helppppp
A fraction means division.
To find the decimal equivalent of a fraction, divide the top number by the bottom number.
Look at the pattern below. If the
pattern continues, what will be
the tenth number?
3. 11, 9, 17, 15, 23, 21...
Answer:
35
Step-by-step explanation:
We are adding 8 and then subtracting 2
3, 11, 9, 17, 15, 23, 21
The 8th number is 21+8 = 29
The 9th number
Subtract 2
29-2 = 27
10th number
Add 8
27+8 = 35
First is adding 8 to get the next number then subtract 2 to get the number after.
21 is the 7th number.
8th number = 21 + 8 = 29
9th number = 29-2 = 27
10th number = 27 + 8 = 35
Answer: 35
What function type does the table of values represent?
Answer:
Quadratic
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
for every one unit increase in x, there is a 3 unit increase in y
The slope of the plot line would be 3
The y intercept of the plot line would be -1
y = 3x - 1
Find the perimeter of a triangle with vertices A(–3, 5), B(–3, 2), and C(1, 2)
Show all work
Answer:
perimeter= 12units
Step-by-step explanation:
steps are in picture
find the angle vector of 7j +10 k,i +6j+6k,-4i+9j+6k
Answer:
Right angled and isosceles
Solve for x.
A. 37
B. 27
C. 30
D. 31
Answer:
B
Step-by-step explanation:
The formula for finding the relationship between a secant and a tangent is
tangent length ^2 = external segment secant/full length of secant
In this case
60^2 = 48*(x + 48) Expand
3600 = 48*(x + 48) Remove the brackets/
3600 = 48x + 48^2 Expand
3600 = 48x + 2304 Subtract 2304 from both sides
3600 - 2304 = 48x
1296 = 48x Divide both sides by 48
1296 / 48 = x
x = 27
