The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/1315822
What is the reciprocal of 3 1/3
Answer:
3/10
Step-by-step explanation:
make 3 and 1/3 to an improper fraction (3 multiplied by 3 plus 1) which is 10/3. the reciprocal is 3/10
Answer:
0.3
Step-by-step explanation:
Have a great day!
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Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
----------------------------------
Easy! :D (if you don't mind, may I get brainliest please?)
Look at picture this is so hard pls help
Answer:
D) 8
Step-by-step explanation:
What the problem is asking you to do is multiply the two expressions and substitute x=3 into the product.
[tex]f(x)=2^x[/tex]
[tex]g(x)=2x-5[/tex]
[tex](f*g)(x)=f(x)g(x)=(2^x)(2x-5)[/tex]
[tex](f*g)(3)=f(3)g(3)=(2^3)(2(3)-5)=(8)(6-5)=(8)(1)=8[/tex]
Therefore, the correct answer is D
Please help!!
Select the correct answer.
Consider functions f and g.
f(x)= square root 2x+2
g(x) = x^2-2/2
Which statement is true about these functions?
See in photo
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
[tex]h(x) =\sqrt{2x+2}\\g(x)\frac{x^2-2}{2} \\[/tex]
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
[tex]h(g(x))=h(\frac{x^2-2}{2} )\\h(g(x))=\sqrt{2(\frac{x^2-2}{2} )+2}\\h(g(x))=\sqrt{x^2-2+2} \\h(g(x))=\sqrt{x^2}\\h(g(x))=x[/tex]
Get the composite function g(h(x))
[tex]g(h(x))=\frac{(\sqrt{2x+2} )^2-2}{2} \\g(h(x))=\frac{2x+2-2}{2}\\g(h(x))=\frac{2x}{2}\\g(h(x))=x[/tex]
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; https://brainly.com/question/14391067
What sentence represents this equation? 4 1/3=11−x
Answer:
4 1/3 is the same as 11 decreased by a number.
Step-by-step explanation:
estimate the area please.
Answer: You need to count how many squares are shaded (at least half of it), therefore the area is 32 square units.
lines y = -x+2 and y=x+1. The point of intersection of the linear equations is *
(0,2)
(0.5, 1.5)
(-1,0)
(2,0)
We can solve it by seeing the graph but let's solve the equations.
[tex]\\ \sf\Rrightarrow y=-x+2[/tex]
[tex]\\ \sf\Rrightarrow y=x+1[/tex]
Now
[tex]\\ \sf\Rrightarrow -x+2=x+1[/tex]
[tex]\\ \sf\Rrightarrow -2x=-1[/tex]
[tex]\\ \sf\Rrightarrow x=0.5[/tex]
Put in eq(2)
[tex]\\ \sf\Rrightarrow y=0.5+1[/tex]
[tex]\\ \sf\Rrightarrow y=1.5[/tex]
Done
Studying a group of children from first grade through high school to see the effect of pre-schooling on educational success would be which
type of study?
a
longitudinal
cross-sectional
Ос
natural observation
Od
experimental
Answer:
Longitudinal study
Step-by-step explanation:
Information is collected over extended periods of time in a longitudinal study, but in cross-sectional, natural observation, and experimental studies, information is collected over short periods of time or in one time only. Based on the choices given, this type of study would be a longitudinal study.
Drag the numbers below to put them in order from least to greatest:
-9 -12 -4
–4 20 -1 -6
Answer:
-12, -6, -4, -1, 9, 20
Step-by-step explanation:
9, -12, -4, 20 -1, -6
putting them in order from least to greatest means that negatives should go to the left (1st), largest should go to the right (last).
The number -9, -12, -4, 20, -6, -1 in the order from least to greatest is -12, -9, -6, -4, -4, -1, 20.
Given data: -9, -12, -4, 20, -6, -1
Starting from the smallest number:
-12 is the smallest number.
Next is -9, which is larger than -12 but smaller than -6.
Then comes -6, larger than -9 but smaller than -4.
After that, we have two occurrences of -4.
Following that is -1, greater than -4.
Finally, the largest number is 20.
So, the numbers in ascending order are: -12, -9, -6, -4, -4, -1, 20.
Learn more about ascending order here:
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Consider the relation {(1,3), (2,5), (-6,-3), (0,0)}. What is the range of the relation?
Answer:
the domain is:
{
−
3
,
0
,
1
,
6
}
the range is:
{
2
,
3
,
4
,
−
6
,
4
}
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation:
{
(
−
3
,
2
)
,
(
0
,
3
)
,
(
1
,
4
)
,
(
1
,
−
6
)
,
(
6
,
4
)
}
:
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is:
{
−
3
,
0
,
1
,
6
}
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is:
{
2
,
3
,
4
,
−
6
,
4
}
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Answer:
the domain is: { − 3 , 0 , 1 , 6 }
the range is: { 2 , 3 , 4 , − 6, 4 }
the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Step-by-step explanation:
In the relation: { ( − 3, 2) , ( 0 , 3 ) , ( 1 , 4 ) , ( 1 , −6 ) , ( 6 , 4 ) } :
The domain:
Is the set of all the first numbers of the ordered pairs.
In other words, the domain is all of the x-values.
So in this case the domain is: {− 3 , 0 , 1 , 6 }
The range:
Is the set of the second numbers in each pair, or the y-values.
So in this case the range is: { 2 , 3 , 4 , − 6, 4 }
A relation is a function if it has only One y-value for each x-value.
So in this case the relation is not a function since it has TWO distinct y values '4' and '-6' for the same x value of '1' .
Have a good day/night!
The diameter of the circle is 34cm and a chord is at a distance of 15cm from the centre. Find the length of the chord of the circle
===================================================
Explanation:
The drawing is shown below.
Point A = center of circlePoints B,C,E = points on the circle's edgePoint D = midpoint of chord CEThe goal is to find the length of CE based on these facts
BC = 34 = diameterAD = 15 = distance from center to chordx = length of segment CD = length of segment DENotice how AB = AC = AE = 17 because they are all radii of the same circle. We cut the diameter in half to get the radius.
Focus on triangle CAD. We'll use the pythagorean theorem to find x.
a^2 + b^2 = c^2
(AD)^2 + (DC)^2 = (AC)^2
15^2 + x^2 = 17^2
225 + x^2 = 289
x^2 = 289 - 225
x^2 = 64
x = sqrt(64)
x = 8
Segment CD is 8 cm long, and so is segment DE.
To wrap things up, we then say:
CE = CD + DE
CE = 8 + 8
CE = 16
Chord CE is 16 cm long.
what does 2y-x=-14 equal?
Answer:
x=2(y+7)
Step-by-step explanation:
2y−x=−14
Subtract 2y from both sides.
−x=−14−2y
The equation is in standard form.
−x=−2y−14
Divide both sides by −1.
x=2y+14
Then use the inverse property of distrubtion.
x=2(y+7)
or if you want to you can leave it as x=2y+14
Answer:
y=x/2-7
Step-by-step explanation:
Move x to the side with the constant and then divide.
1. -x from both sides
2. the divide by 2
it can also be written like
y=1/2x-7
If a = - 4 and b = 5x + 2i , then find the value of a ^ 3 b in fully simplified form.
Answer:
-320x -128i
Step-by-step explanation:
Put the values where the variables are and do the arithmetic.
a³b = (-4)³(5x +2i) = -64(5x +2i) = -320x -128i
solve the equation on the interval [0, 2π).
3(sec x)^2 -4=0
[tex] \: \: \: \: \: [/tex]
[tex]x = \frac{\pi}{6} , \frac{(k)\pi}{6} , \frac{(5)\pi}{6} , \frac{(k)\pi}{6} [/tex]
refer to the attachmenthope it helpsIf N = 6 x 2 x 3, what is the value of N?
Answer:N= 36
Step-by-step explanation:
An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.
Answer:
38.8
Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8
Evaluate the function for = and =.
()=−
Answer:Example: evaluate the function f(x) = 2x+4 for x=5
Just replace the variable "x" with "5":
f(5) = 2×5 + 4 = 14
Answer: f(5) = 14
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 20 ft.
Step-by-step explanation:
Simply multiply 5 x 4.
Answer:
20 ft`
Step by step explanation:
N/A
if 3a-b=3 and a+2b=15, then a+b ?
Step-by-step explanation:
please mark me as brainlest
A school staff meeting had 30 teachers in attendance, 60% of whom were first-year teachers. How many first-year teachers were in the meeting?
Answer:
I personally think the answer is because if the 60% of the teachers among 30 teachers were first-year teachers,then it would mean the other 40 % of the teachers were recent/ this year teachers.
What is the range of the graph
On the other hand When the tangent to the graph is not unique that is more than one tangents can be drawn to the graph then that graph must represents a curve.
In other words when the slope is constant then it represents straight line and when the slope is variable then it represents a curve
Find the answer:
2(-5-3)
Answer:
-16
Step-by-step explanation:
start with brackets
-5-3 = -8
2(-8)
= -16
Zoom if you have to see more clearly ! Answer #4 , #5 , & #6 for me !! Show proof for all please ! I'll be giving brainliest and report wrong answers or answers that are correct but no proof !
Answer:
N/A; 32; -8
Step-by-step explanation:
4) You have to graph this equation... basically pick two points on the line and connect them. I'd do (0,4) and (4,1) because they're the easiest
5) Just plug -2 into the equation! -3x³+2x², so when you substitute x for -2, you get -3*(-2)³+2*(-2)²=-3*(-8)+2*4=24+8=32
6) -6m+6+6=4-7m, so m=-8
A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?
Answer:
4
Step-by-step explanation:
Split 19 into two numbers, 9 and 10. If there are 10 nickels, there are 5 dimes. That means there rest are quarters and there are 4.
edit : im not american and have little knowledge of how much each are worth
Solve for p if L = 2 1/2 ft and W = 3 2/5 ft. P = 2L + 2W
Answer:
[tex]\frac{59}{5}[/tex] or 11 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
hope this helps :)
what set does -15/2 belong to
Answer:
Rational numbers
Step-by-step explanation:
any number that can be written as the ratio of two integers and that is terminating or repeating in decimal form
hoped that helped
Answer:
Rational numbers
Step-by-step explanation:
These numbers are numbers that can be expressed as a ratio of two integers and includes decimals that terminate (they end like 5.1 or 6.349) or repeat (such as 5.33333333333...)
one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?
Answer:
8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!
Step-by-step explanation:
What is the answer to 3(y - 1 + 2y)
Answer:
Collect like terms.
3((y+2y)-1)
3((y+2y)−1)
2 Simplify (y+2y)-1(y+2y)−1 to 3y-13y−1.
3(3y-1)
3(3y−1)
Enter <, > or = to make the statement true. 17.001 [?] 17.0001
Answer:
17.001>17.0001
Answer:
17.001>17.0001
Step-by-step explanation:
17.001 is greater than 17.0001
8% of 60 is half of what number
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
Answer:
9.6
Step-by-step explanation:
8% of 60 is equal to 4.8
To find what 4.8 is half of, multiply 4.8 by 2
4.8 times 2 equals 9.6