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
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please solve quickly for 50 points
Find the slope of the line that includes the ordered pairs.
Find the perpendicular slope of the given ordered pairs.
52 as a product of prime factors.
Answer:
13 *2*2
or
13*2^2
Step-by-step explanation:
52 = 26*2
But 26 is not prime
52 = 13*2 *2
52 = 13 * 2^2
Step-by-step explanation:
hope it helped!! ..............
9,3,1, what is the sequence and what is it equal to?
Answer: the sequence is to divide by 3 and it gets smaller and smaller by dividing by three I don't think there is an end to it.
Step-by-step explanation:
9/3=3
3/3=1
1/3=1/3
1/3/3=1/9
1/9/3=1/27
1/27/3=1/81
and I think you know what I mean by now right?
If f(x) = -3 and g(x) = 4x2 + x - 4, find (f+9)(x).
2
A.
X
-1
A. 4x2 + 2x-1
B. 4x2 +
-7
C. 4x2 +2x-1
7
X-1
D. 6x2 - 7
Step-by-step explanation:
(f+g)(x) = f(x) + g(x) =
x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7
so, yes, B is the right answer.
Suppose $\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$. What is the smallest possible value for $x$?
The smallest possible value of x is the value less than 2/3
Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]
We need to find the smallest possible value of x as shown:
[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]
Reciprocate both sides
[tex]x < \frac{2}{3}[/tex]
Hence the smallest possible value of x is the value less than 2/3
Learn more on inequality here: https://brainly.com/question/4192645
Answer:x=7
Step-by-step explanation:
Which equation best represents the line of best fit for the scatter-plot?
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression
Answer:
It would be 9.6 inches after 4 weeks.
The expression you would use is 5 + 2.5 × ww = ?
Step-by-step explanation:
At the beginning of spring, Eva planted a small sunflower in her backyard. When it was first planted, the sunflower was 5 inches tall. The sunflower then began to grow at a rate of 2.5 inches per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after ww weeks? Write an expression.
So the sunflower was 5 inches tall to start off.
First you need to do 2.5 times 4.
Which is 9.6 inches after 4 weeks.
The expression you would use is.
5 + 2.5 × ww = ?
HELP ASAP NO LINKS
Amir invested money in an account where interest is compounded every year. He made no withdrawals or deposits.
The function A(t) = 575(1 + 0.06) represents the amount of money in the account after years. How much money did Amir originally invest?
O A. $646.07
OB. $609.50
OC. $575.00
O D. $500.00
Answer: the answer is B which is $609.50
Step-by-step explanation:
I mean the equation is already set up all there is to do is solve put it in the calculator and you should get $609.50
Answer:
What that other person said
Find the 60th term of the following sequence.
4, 8, 12,
Answer:
240
Step-by-step explanation:
y/5 = 2/5 im not sure how to complete this question
Answer: y is 2
Step-by-step explanation:
[tex]\huge \bf༆ Answer ༄[/tex]
Let's solve for y ~
[tex] \sf \dfrac{y}{5} = \dfrac{2}{5} [/tex][tex] \sf y = \dfrac{2}{ \cancel5} \times \cancel5[/tex][tex] \sf y = 2[/tex]Value of y is 2
Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?
Answer:
$64.00
Step-by-step explanation:
8x8=64 (64 yards)
64x1=64
It would cost 64 dollars to buy enough carpet for the living room.
find the quotient 8^6/8^2
Answer:
4096
Step-by-step explanation:
A box of cereal weighs 600 grams. How much is this weight in pounds? Round your answer to the nearest hundredth.
Answer:
1.300 correct me if I'm wrong
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Answer 1-5 for each! I’ll mark as brainiest
Answer:
4 because I had this quiz and I got 80
Two plus two equal four
Answer:
Two plus two equals sixxxxxxx
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
A
Step-by-step explanation:
The open side means thats number is bigger. Ex: 1 < 2 or 2 > 1
Hope that helps
Answer it please ❤❤❤❤❤❤❤❤❤❤ I really appreciate if u answer it !
Answer:
Josh has 60% of $600 that is $360
Daniel has $320
So Josh has more by $40
5)
Bianca has 43 votes
Carlos has 38% of the 150 vote that is 57
So Carlos has 14 more votes than Bianca
Step-by-step explanation:
You have learned that to find 1% of a number means finding 1/100 of it. Similarly, finding 60% of a number means finding 60/100 (or 6/10) of it. 60% of $600 → 60% × $600. 60% of $600 → 0.6 × $600.
someone help please :)
Answer: not shaded i think
Step-by-step explanation:
Answer:
Not shaded, because the equation is not true when you plugged in ( 0,0)
Step-by-step explanation:
Explain how you know the right triangles are similar.
Answer: You should ask an expert, or get a verified expert answer; but I will try my best you can visualize a triangle by plotting down x y in the shape of a triangle try evaluating the expression when you plot your right triangle.
Step-by-step explanation: to do this use what you have already learned about right triangles and visualize 3 different letters that correspond to numbers. (Don't use this answer unless you think it's correct). For I am not an expert
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
Learn more about dividend on:
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Sally is making 15 individual blueberry cheesecakes. How many pounds of blueberries will be in each cheesecake if 514 pounds of blueberries are divided equally among them?
Answer:
About 35 or 34.27 if you round to the tenths spot.
Step-by-step explanation:
514 divided by 15 is 34.27 once rounded.
During a school race, Sonic ran around the entire track 5 times in 10 seconds. Everyone was shocked by his speed, which was equal to 321 m/s. FINISH R D In the diagram above, D = 2R. What is the radius of the round part of the track, R, equal to? Use n = 3.14. The answer should be rounded to 3 significant figures.
63.4
62.5
61.4
60.1
Step-by-step explanation:
there is no diagram here.
I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.
Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.
that means he ran 10×321 m in 10 seconds = 3210 m.
so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.
and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).
we know the formula for the circumference of a circle :
2×pi×radius
so, we have then
642 = 2×2R + 2×pi×R = R×(4 + 2×pi)
R = 642 / (4 + 2×pi) = 62.43201701...
and when using the requested "cut-off" pi = 3.14, we get
R = 642 / (4 + 2×3.14) = 62.45136187...
and that is rounded 62.5
so, the second answer option is correct.
10)
There are 14 black pens out of 25 pens. What percent of the pens are black?
Answer:
Step-by-step explanation:
14 dived by 25 is 56%
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
The tallest man living is 251cm. How many meters tall is he?
In meters he would 2.51 meters.
what is the slope of the line on the graph
Answer:
5
Step-by-step explanation:
Algebra 2 | Drag the tiles to the correct boxes to complete the pair match each solution with its solution set
Answer:
256= 4 power 4 and 125 = 5 power 3
will give brainliest Select the correct locations on the graph.
Select the lines that represent functions.