Answer:
c. 18[tex]\pi[/tex] cubic inches
Step-by-step explanation:
half sphere's volume:
[tex]V=\frac{2}{3} \pi r^{3}[/tex] r = 6/2 = 3 inches
[tex]V=\frac{2}{3} \pi (3)^{3} =\frac{2}{3}( 27\pi )=\frac{54}{3} \pi =18\pi[/tex]
Hope this helps
The graph below represents which system of inequalities?
Oy> 2x - 3
y>-X-3
Oy < 2x - 2
Y-3
Oys 2x - 2
Y EX
None of the above
Answer:
Third option
Step-by-step explanation:
The y-intercepts are -2 and 3 so first option is wrong
One is dashed line and other is solid so one needs to have equal and other one shouldn't, so second option is wrong as both are less than but not also equal
Third option the -2 intercept one is less than or equal to And the slope is positive while the 3 intercept one is greater with negative slope.
The given graph represents the system of inequalities in the third option y ≤ 2x - 2 and y > -x + 3.
It is clear from the graph that one of the inequality has a solid graph line while other has a dotted graph line.
So one of the inequality must be of the form ≤ or ≥ and the other one is of the form < or >.
The only inequalities of this form in the options are,
y ≤ 2x - 2
y > -x + 3
Consider y = 2x - 2.
The points through the line are (0, -2), (1, 0), (2, 2), ...
At origin, (0, 0), 0 ≤ -2 is false. So (0, 0) does not include in the solution region.
So the solution region of y ≤ 2x - 2 is on the part of the line of y = 2x - 2 where (0, 0) is not included.
Consider y = -x + 3
Line passes through (0, 3), (1, 2), (2, 1), (3, 0),....
At (0, 0), 0 > 3, which is false.
So the solution region of y > -x + 3 does not contain the part where (0, 0) is included.
So the resulting graph is correct for this system of inequalities.
Learn more about System of Inequalities here :
https://brainly.com/question/19526736
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Phone numbers consist of a three-digit area code followed by seven digits. if the area code must have a 0 or1 for the second digit, and neither the area code nor the seven-digit number can start with 0 or 1, how many different phone numbers are possible? how did you come up with your answer? a. 8 times 10 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 6,400,000,000 b. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 = 1,280,000,000 c. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 = 128,000,000 d. 8 times 2 times 10 times 8 times 10 times 10 times 10 times 10 times 10 times 10 times 10 = 12,800,000,000
The possible number of different phone numbers will be 128000000
What is probabilty?
The extent to which an event is likely to occur, measured by the ratio of the favourable cases to the whole number of cases possible.
In this exercise we have to use the knowledge of probability to find the phone number, so:
1 280 000 000 different ways.
First we have to establish some information about this exercise such as:
The first slot cannot start with 0 or 1, which leaves us 2, 3, 4 ..., 9 to fill.This means we have 8 different arrangements for the first slot.The second slot have a 0 or 1 for the second digit, which leaves us with 2 different arrangements.There are no restrictions for the third slot, so we would have 10 different arrangements.Thus, now calculating the possibilities of occurrence, we have:
[tex]8\times 2\times 10=160[/tex]
[tex]8\times 10^6=8000000[/tex]
[tex]160\times 8000000=1280000000[/tex]
See more about probability follow
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Joe ran 5/6 mile each day for 5 days. How far did joe run?
Which quadratic expression represents the product of these factors? (2x + 5)(7 − 4x)
A.
-8x2 + 6x − 35
B.
-8x2 − 6x + 35
C.
-8x2 − 34x + 35
D.
-8x2 + 34x − 35
Answer:
[tex] - 8x {}^{2} - 6x + 35 [/tex]
Step-by-step explanation:
(2x+5)(7-4x)
expanding
2x(7-4x)+5(8-4x)
removing brackets
2x×7+2x×-4x+5×7+5×-4x
14x-8x^2+35-20x
arranging properly
-8x^2-6x+35
show work and do it fast
Answer:
9 x 2/8 = 9/4
Step-by-step explanation:
Answer:
Step-by-step explanation:
9 divided by 2/8 but make the 2/8 into a decimal and the turn back to a fraction if it ask if not then leave it how it is and if you have to round which you prolly wont have to but ask to make sure ight
You roll a die repeatedly, stopping when you roll a 1. Your score is the sum of values of all your rolls. What is the expected score
Using the binomial distribution, it is found that the expected score of the game is of 21.
What is the binomial probability distribution?It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.
The expected number of trials until q successes is:
[tex]E_s(X) = \frac{q}{p}[/tex]
In this problem, a die has a p = 1/6 probability of resulting in a 1, hence the expected number of trials is:
[tex]E_s(X) = \frac{1}{\frac{1}{6}} = 6[/tex]
In each trial, each outcome from 1 to 6 is equally as likely, hence the expected score of a single trial is given by:
[tex]E = \frac{1 + 6}{2} = 3.5[/tex]
Then, the expected score of the six trials is:
6 x 3.5 = 21.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
What is the general equation of a sine function with an amplitude of 6, a period of startfraction pi over 4 endfraction, and a horizontal shift of startfraction pi over 2 endfraction?
Answer:
f(x) = 6·sin(8(x -π/2))
Step-by-step explanation:
A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...
f(x) = A·sin(2π/P(x -S))
__
The equation for A=6, P=π/4, and S=π/2 is then ...
f(x) = 6·sin(8(x -π/2))
_____
Additional comment
The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.
pls help
Is this triangle acute, right or obtuse?
Probably between obtuse angle or triangle because sometimes they trick you
But I'm not 100 percent sure
Answer:
It is right
Step-by-step explanation:
Right triangles will always form a corner like an L shape
What is the range of possible sizes for side xxx?
Answer:
2.3<x<8.7
Step-by-step explanation:
I need help with two step equations
please helppppppppppppppp!!!!!!!!!!!!!!!!!!!!!11
Use the drawing tools to form the correct answer on the graph.
Draw the solution point, or points, for this system of equations.
Answer: look at the attached image
Step-by-step explanation:
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
Answer:
Step-by-step explanation:
In rectangle, the diagonals are equal bisect each other.
⇒ OA = OB
⇒ΔAOB is an isosceles triangle.
In ΔAOB,
x + x + 120 = 180°
2x + 120 = 180
2x = 180 -120
2x = 60
x = 30°
In ΔABD
∠A + ∠ABD ∠BDA = 180
90 + 30 + ∠BDA = 180
∠BDA = 180 - 90 -30 = 60°
ΔABD is 30 - 60 - 90 triangle.
The ratio of sides of 30-60-90 triangle is x : x√3 : 2x
x →shortest leg which is opposite ot 30°
∵ x = AD = 20
x√3 → longest leg which is opposite to 60°
x√3 ( AB) = 20*1.732
AB = 34.64
Area of rectangle = length * width
= 34.64 *20
= 692.8
≈ 693 square units
3/5x2/5x4/9 in simplest form
Answer:
8/75 is the answers for the question
13. The photo below is being enlarged to form a 24-by 30-inch print. What is the scale factor being used to enlarge it?
Answer:
6
Step-by-step explanation:
24/4 = 6
30/5 = 6
Dividing the values of the larger print by the corresponding values of the smaller print results in a scale factor of 6
Solve : 4-3sec²A = 0
Answer:
[tex]\sf\:Negative = \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}\\\sf\: Positive = \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
Step-by-step explanation:
[tex]4 - 3 \sec ^ { 2 } \theta = 0[/tex]
Let's solve this.
Isolate sec²θ.
[tex]4 -3 \sec ^ { 2 } \theta = 0\\- 3 \sec^{2}\theta = -4\\3 \sec^{2}\theta=0\\\sec^{2} \theta=\frac{4}{3}[/tex]
Now, we now that, cos θ is the reciprocal of sec θ. Therefore,
[tex]\sec^{2}\theta = \frac{4}{3}\\\cos^{2}\theta = \frac{3}{4}[/tex]
Bring the square root on both the sides of the equation to remove the square.
[tex]\sqrt{\cos^{2}\theta} = \sqrt{\frac{3}{4} }\\\cos^{2}\theta = (+/-) \frac{\sqrt{3} }{2}[/tex]
If,
[tex]\cos\theta = + \frac{\sqrt{3}}{2}\\= cos \left( \frac{\pi}{6} \right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
Also if,
[tex]\cos\theta = -\frac{\sqrt{3}}{2}\\= \cos \left(\pi - \frac{\pi}{6}\right)\\= \cos \left({\frac{5\:\pi}{6}\right)\\\Longrightarrow \boxed{\sf\:\theta =\pi n_{1}+\frac{5\pi }{6}\text{, }n_{1}\in \mathbb{Z}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Help me find the perimeter of the shape please!
Answer: 10m +27
Step-by-step explanation: Add all the sides together to calculate Perimeter.
2(2m +10)+2m+7+2m +2m
4m + 20 + 2m +7 +2m +2m
10m +27
2. 3x = 18 then the value of x is
Answer:
x=6
Step-by-step explanation:
(I don't know if you mean question 2 3x= 18 or 2 times 3x = 18)
2.3x = 18
3x = 18 / 2 = 9
x = 9/3 = 3
Or : x = 18/3 = 6
A circular tablecloth has a radius of 3.7 feet. Kyle is sewing a piece of ribbon around the edge of the tablecloth. How much ribbon will Kyle need for the circumference of the tablecloth?
Use\ 3.14\ for\ \pi.\ Use 3.14 for π.
Answer:
Circumference = 23.23600 (using 3.14 instead of whole PI)
Step-by-step explanation:
Question 1 of 5
Brad measured the heights of several wildflowers. He
found that their heights were 3, 3, 4, 4, and 6 inches.
Which statement is false?
O A. The mean of the data is 4 inches,
B. The median of the data is 4 inches.
O C. The mean of the data is 3 inches,
D. The range of the data is 3 inches.
SUBMIT
I will mark brainiestttttt answeerr
Answer:
The mean of the data is 3 inches, is false
Step-by-step explanation:
3, 3, 4, 4, and 6 inches.
To find the mean, add the numbers together and divide by the number of data points
( 3+3+4+4+6)/5 = 20/5 = 4
The median is the middle number
3, 3, 4, 4, and 6 inches.
The median is 4
The range is the largest number minus the smallest number
6-3 =3
Find the equivalent expression of 12^6
Answer:
C: 12^12/12^6
Step-by-step explanation:
it is equal to 12^6
Angle 1 and 2 are complementary. Angle 1 is 28 degrees. what is the measure of angle 2?
Answer:
Step-by-step explanation:
Remark
All triangles are made up of 3 angles totally 180 degrees.
In addition a right triangle has a measurement of 90 degrees.
The other two angles must add to 90 degrees as will. That is the definition of complementary. (2 angles add to 90 degrees).
Formula
x + 28 = 90
Solution
x + 28 = 90 Subtract 28 from both sides.
x+28 -28=90 - 28
x = 62
The measure of the second angle is 62
Help immediate!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Help please hurry too!!!!
Answer:
false
Step-by-step explanation:
Please help me pleasee
Answer:
x = y = 64° , z = 20°
Step-by-step explanation:
x = y = [tex]\frac{180-52}{2}[/tex] = 64 °
m∠ADC = 52° + x
m∠ADC = 52° + 64° = 116°
z = 180° - 116° - 44° = 20 °
Find a radius of a circle the length of which is 24π cm.
Answer:
12
Step-by-step explanation:
Length of a circle = circumference = 2πr = 24π
Radius (r) = 24π/2π
= 12cm
B1 of a trapezoid in which Area = (48x+68) inch squared, Height = 8 in, B2 = (9x + 12) in.
what I have so far is
48x +68 = 8 (B1 + 9x +12)
what do I do from there????????????????? the question is asking to solve for Base 1/ B1
A=(1/2)(b1+b2)h =
=(48x+68)in² = (1/2)( b1+(9x+12))8
=b1= 3x+5
Ariana is playing a game. For each of her turns, she rolls a number cube landed with the numbers 1 through 6. She also spins the spinner shown below. To win the game Ariana needs to roll a 3 and spin a 3 on her next turn. What is thr probability that Ariana will win the game on her next turn?
Answer:
1/18
Step-by-step explanation:
probability of getting a three= 1/6
probability of getting a three on a wheel=1/3
probability of winning= 1/6x1/3=1/18
Please help, right now!!!
Answer:
its B
Step-by-step explanation:
Answer:
the answer is B 1/50. I think
Where to put the black point to show all the angles that are congruent to angle A
Answer:
-------------------
Step-by-step explanation:
as I see it, A is the full 180° angle.
and so, there are 3 more 180° angles:
below A in the other side of the blue line the whole 180° arc.
above and below the blue line at the intersection point with the second, parallel red line (again, the whole 180° arcs).