Answers
Answer:
b. 3
Step-by-step explanation:
pi * r^2 * h = 162 pi
plug in 18 ft for h
pi * r^2 * (18) = 162 pi
simplifies to r^2 = 9
r=3
Related Questions
you are packing clothes for vacation and don’t want to take any button down shirts. You randomly choose three shirts from a jar containing three T-shirts, three polo shirts, and four button downs.
a) what is the probability that the first three shirts are button downs when you replace each shirt before choosing the next one?
b) what is the probability that the first three shirts are button downs when you do not replace each shirt before choosing the next one?
Answers
a) Because each pick is independent (we pick and then replace), we just have to find the probability of picking it out once, then cube that. This probability is 4/(3+3+4)=2/5. So, it is 8/125.
b) If we replace it, then we can do it in a strategic way:
The probability of picking it out the first time is 2/5. Now, there are 3 button downs and 9 shirts total.
The second time: 3/9=1/3
Now there are 2 and 8
Third time: 2/8=1/4.
The final probability is 2/5*1/3*1/4=1/30
True or false
The solution to the inequality 5x+2<175x+2<17 is x<3x<3.
Answers
Answer:
I believe it is true. So sorry if it's not.
Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.
Answers
Answer:
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Step-by-step explanation:
(p+4q)^3 -->
(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
The graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.
Answers
Answer:
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9
in slope intercept form y = mx + b, b is the y-intercept
since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units
---
Hope this helps! :) If so, please mark my answer as brainliest
Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.
Given,[tex]f(x)=x^{2}[/tex].
[tex]g(x) = f(x) - 9.[/tex]
From the above functions it is clear that the equation for the graph of g(x) will be,
[tex]g(x)=x^{2} -9[/tex].
What is intercept?The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
Since The y intercept of function f(x) is zero.
Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.
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What is the equation of the line that passes through the points (1, –1) and (3, –7)
Answers
Answer:
y = -3x + 2
Step-by-step explanation:
To find the slope of an equation you can do (y2-y1)/(x2-x1). Plug the values in from the equation and you get (-1+7)/(1-3), or 6/-2. This means the slope is -3. Then you plug the values of y and x into an equation y = -3x + b, and you get -1 = (-3)1 + b. Solve for b. -1 = -3 + b, (add 3 to each side) 2 = b. Then plug b back into your equation and you get y = -3x + 2
Answer:
-3x+2=y
Step-by-step explanation:
u need to find the slope intercept formula which mx+b=y
m=slope
b=y-intercept
first u should find the slope which is y2-y1/x2-x1
point 1:(1,-1)
point 2:(3,-7)
-7+1/3-1=-6/2=-3
m=-3
now replace the variables
-3(1)+b=-1
-3 times 1=-3
-3+b=-1
add 3 to both sides
b=2
now the equation is -3x+2=y
Simplify (2a^3 a^4)^5. Show all work.
Answers
Step-by-step explanation:
I hope it's correct.. And hopefully you understand those steps and also my horrible writing
all sides of quadrilateral ABCD are tangent to circle p. What is the perimeter of the quadrilateral below?
Answers
Answer:
The perimeter of the quadrilateral is that to add all the sides and multiply it by 2 to get the quadrilateral which will be 65.4.
Step-by-step explanation:
Answer:
it equals 41.2 units
If 0.75A = 36, what would you do to solve
for A?
Answers
Answer:
you divide 36 by 0.75
Step-by-step explanation:
Answer:
Divide 36/.75
Step-by-step explanation:
You need to isolate A in order to solve the equation.
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answers
Answer:
2(2x+19) would be your answer
1. Remember, evaluate means to plug in the value for the specified
variable.
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Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answers
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.
Answers
Answer:
Explanation:
Plato
[2x + 3y = 1][5x - 4y = 14]
Answers
Answer:
x = 2
y = - 1
Step-by-step explanation:
Please see the step by step solution in the picture attached below.
Hope it can help you. Have a nice day!
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
Answers
what’s the answer for this
Answers
Answer:
63 yd²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 9, thus
A = 7 × 9 = 63 yd²
!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths
Answers
Answer:
1/4
That would be the answer because 6/8 minus 2/4 would equal 1/4
Subtract six eighths minus two fourths is the same as 6/8 - 2/4.
Find common denominators.
6/8
2/4 = 4/8
Subtract.
6/8 - 4/8
2/8
Simplify.
2/8 = 1/4
Therefore, the answer is 1/4
Best of Luck!
Write down all the factors of 15.
Answers
Answer:
1,3,5,15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factors of 15:
1 , 3 , 5 , 15
what is the volume of a hemisphere with a radius of 6?
Answers
V
=
4
3
π
r
3
=
4
3
·
π
·
6
3
≈
904.77863
How many solutions does this equation have?
0 = 2z − 2z
Answers
Answer:
infinitly many solutions
Step-by-step explanation:
0=2z-2z
2z-2z=0
so 0=0
infinitly many
Solve for ttt. 2(t+1) = 10
Answers
Answer:
I hope this helps you. Have a great rest of your day!
The required, solution to the equation 2(t+1) = 10 is t = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Expanding the left side of the equation, we get,
2t + 2 = 10
Subtracting 2 from both sides, we get,
2t = 8
Dividing both sides by 2, we get,
t = 4
Therefore, the solution to the equation 2(t+1) = 10 is t = 4.
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x + 2y = 13
-x + y = 5
Answers
Answer:
x = 1; y = 6
Step-by-step explanation:
x + 2y = 13
-x + y = 5
Add the equations to eliminate x.
3y = 18
Divide both sides by 3.
y = 6
Now substitute y with 6 in the first equation.
x + 2(6) = 13
x + 12 = 13
Subtract 12 from both sides.
x = 1
Answer: x = 1; y = 6
Do 1,2 for 5-8 points.
Answers
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
Write the equation of a line that passes through the point (6,-3) and has a slope of -2
A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2
Answers
Answer:
A
Step-by-step explanation:
You don't have to do anything, the only equation with a slope of -2 is A.
log x + Log(x+5) = log 6
Answers
Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
What times 55 would equal 200
Answers
Answer:
The answer is 3, it's the only answer closest to 200
Step-by-step explanation:
What is the medical term for infection of the gallbladder?
Answers
Answer:Cholecystitis
Step-by-step explanation:
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false
Answers
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
A mass attached to a spring is pulled toward the floor so that its height above the floor is 10 mm (millimeters). The mass is then released and starts moving up and down reaching maximum and minimum heights of 20 and 10 mm , respectively, with a cycle of 0.8 seconds.
Assume that the height h(t) of the mass is a sinusoidal function, where t is the time in seconds, sketch a graph of h from t = 0 to t = 0.8 seconds. t = 0 is the time at which the mass is released.
Find a sinusoidal function for the height h(t).
For how many seconds is the height of the mass above 17 mm over one cycle?
Answers
Answer:
a) The mass is released at t = 0 when h is minimum. Half a cycle later h reaches its maximum and another half a cycle it reaches its minimum again. Hence over one cycle, h varies with t as follows:
b) According to the graph obtained in part a), h(t) could be modeled by a cosine function shifted (translated) vertically up and horizontally to the right. Hence
Step-by-step explanation:
Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)
Answers
Answer:
x2+10x+24
Step-by-step explanation:
The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]
To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:
(x - 4)(x - 6)
Step 1: Multiply x from the first parentheses by both terms in the second parentheses:
[tex]x * x = x^2\\x * -6 = -6x[/tex]
Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:
-4 * x = -4x
-4 * -6 = 24
Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]
Combine like terms: [tex]x^2 - 10x + 24[/tex]
So, the expanded expression in standard form is:
[tex]x^2 - 10x + 24[/tex]
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HEEEEELP I IS TTTTTTIIIIIMMMMMEEEEEDDDD
What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?
A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases
Answers
Answer:
b
Step-by-step explanation:
Answer:
I dink Bs
Step-by-step explanation:
convert 0.528 to a percent
Answers
Answer:
52.8%
Step-by-step explanation:
To convert a decimal to a percent, you simply need to multiply the decimal by 100. This is because a percent is a fraction of 100. Therefore, since 0.528*100=52.8, the answer is 52.8%. Hope this helps!
Percentage form of number 0.528 is,
⇒ 52.8%
We have to given that;
To convert 0.528 into a percent.
Since, A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Hence, We can change into a percent as,
⇒ 0.528
⇒ 0.528 x 100%
⇒ 52.8%
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