Answer:
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Step-by-step explanation:
A nickel can be modelled by the formula of a right cylinder, the approximate volume of the stack of nickels ([tex]V_{net}[/tex]), measured in cubic milimeters, is the product of the number of elements ([tex]n[/tex]), no unit, and the volume of each element ([tex]V[/tex]), measured in cubic milimeters. That is:
[tex]V_{net} = n\cdot V[/tex] (1)
By volume equation of right cylinder, we have the following formula:
[tex]V_{net} = \frac{\pi}{4}\cdot n \cdot D^{2}\cdot h[/tex] (2)
Where:
[tex]n[/tex] - Amount of nickels, no unit.
[tex]D[/tex] - Diameter of nickel, measured in milimeters.
[tex]h[/tex] - Thickness of nickel, measured in milimeters.
If we know that [tex]n = 40[/tex], [tex]D = 20\,mm[/tex] and [tex]h = 2\,mm[/tex], then the net volume of the stack of nickels is:
[tex]V_{net} = \frac{\pi}{4}\cdot (40)\cdot (20\,mm)^{2}\cdot (2\,mm)[/tex]
[tex]V_{net} \approx 25132.741\,mm^{3}[/tex]
The approximate volume of a stack of 40 nickels is 25132.741 cubic milimeters.
Is 7 a positive or Negative number?
5x7=
5x7=5 x (_ + _)
5x7= (5x _) + (5x_)
5x7= _ + _
5x7=
Answer:
5x7=35
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
o.125 cupand 5 fluld
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 cup 2 fluid ounces
1 cup = 8 ounces
8 + 2 = 10 ounces
10 * 4,890 = 48,900 ounces = 6,112.5 cups = 6,112 1/2 cups
1/2 cup = 4 ounces
--> 6,112 cups 4 fluid ounces
Hope this helps!
all work must be shown and easy to read or follow.
Find the Greatest Common Factor of the Numerator and Denominator
1. 1248
2. 2024
3. 1070
Answer: The answer is two.
Step-by-step explanation: start by making a tree diagram and dividing all three numbers by two. Each number needs to end in whole numbers with no decimals or fractions. 1248 will be 624, 2024 will be 1012, and 1070 will be 535. Then as you keep dividing the only numbers that match together is two on all three as you will get 3 and 13 added to 1248, 11 and 23 added to 2024, and 5 and 107 to 1070. The only numbers that match are two so your answer is two.
A water container is in the form of a rectangular tank. Its base is 20 cm by 17 cm and depth of the water in the
container is 28 cm. Tony adds one a quarter litres, 350 ml and 100 ml water to the container
Calculate by how many centimeters has the level of water in the tank risen.
Answer:
[tex]Height= 5cm[/tex]
Step-by-step explanation:
Given
Tank:
[tex]Base =20cm\ by\ 17cm[/tex]
[tex]Depth = 28cm[/tex]
Water:
[tex]Quantity = 1\frac{1}{4}L, 350mL, 100mL[/tex]
Required
Determine [tex]the\ height[/tex] of the water in the tank
First, we calculate the total volume of water added.
[tex]Quantity = 1\frac{1}{4}L+ 350mL + 100mL[/tex]
[tex]Quantity = 1.25L+ 350mL + 100mL[/tex]
Convert all units to Litres
[tex]Quantity = 1.25L+ 0.35L + 0.1L[/tex]
[tex]Quantity = 1.7L[/tex]
Convert to cm^3
[tex]Quantity = 1.7 * 1000cm^3[/tex]
[tex]Quantity = 1700cm^3[/tex]
The volume of the water in the tank is calculated as:
[tex]Volume =Base\ Area * Height[/tex]
i.e. the base area of the tank multiplied by the height of the water in the tank
[tex]Volume =20cm * 17cm* Height[/tex]
[tex]Volume =340cm^2* Height[/tex]
Since the above represents the quantity of water, we can substitute 1700cm^3 for Volume
[tex]1700cm^3=340cm^2* Height[/tex]
Make height the subject
[tex]Height= \frac{1700cm^3}{340cm^2}[/tex]
[tex]Height= \frac{1700cm}{340}[/tex]
[tex]Height= 5cm[/tex]
Please help me I’m confused
Solve the given equation
Answer:
136
Step-by-step explanation:
[tex]2+\sqrt{x+8} =14\\\sqrt{x+8} =12\\x+8=144\\x=136[/tex]
Answer:
2+ x+8 =14
Subtract 2 from both sides of the equation.
x+8 +2−2=14−2
Subtracting 2 from itself leaves 0.
x+8 =14−2
Subtract 2 from 14.
x+8 =12
Square both sides of the equation.
x+8=144
Subtract 8 from both sides of the equation.
x+8−8=144−8
Subtracting 8 from itself leaves 0.
x=144−8
Subtract 8 from 144.
x=136
Step-by-step explanation:
S=1+2+3+........+100
Answer:
5050
Step-by-step explanation:
Gauss has derived a formula to solve addition of arithmatic series to find the sum of the numbers from 1 to 100 as follows:
1 + 2 + 3 + 4 + … + 98 + 99 + 100
First he has splitted the numbers into two groups (1 to 50 and 51 to 100), then add these together vertically to get a sum of 101.
1 + 2 + 3 + 4 + 5 + … + 48 + 49 + 50
100 + 99 + 98 + 97 + 96 + … + 53 + 52 + 51
1 + 100 = 101
2 + 99 = 101
3 + 98 = 101
:
:
:
:
48 + 53 = 101
49 + 52 = 101
50 + 51 = 101
It was realized by him that final total will be fifty times of 101 means:
50(101) = 5050.
Based on this, Gauss has derived formula as:
The sequence of numbers (1, 2, 3, … , 100) is arithmetic and we are looking for the sum of this series of sequence. As per Gauss, the special formula derived by him can be used to find the sum of this series:
S is the sum of the series and n is the number of terms in the series, in present case, from 1 to 100, Hence
As per the Gauss formula, the sum of numbers from 1 to 100 will be 5050.
Answer : 5050
Someone please help me with this thank you
I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.
9514 1404 393
Answer:
(a, b, c) = (30, 50, 55)
Step-by-step explanation:
If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...
A : B = 3 : 5 = 6 : 10
A : C = 6 : 11
so ...
A : B : C = 6 : 10 : 11
The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.
Multiplying the last ratio statement by 5, we find the lengths of each of the sides.
A : B : C = 6 : 10 : 11 = 30 : 50 : 55
The side lengths are (a, b, c) = (30, 50, 55).
Hanukkah lasts for 8 nights. You have four family members to purchase
gifts for as well as a new Menorah for your home. The Menorah costs
$42.00. If you have a total of $386.00 to spend, how much can you spend on
each family member?
Answer
86
Step-by-step explanation:
You can spend 86 on each family member. 386-42=344
344/4=86
please help meh I'm I'm slowlyy from this question TwT send help
Answer:
so what XDXD
Step-by-step explanation:
Please help me, thanks!
Xavier opened a savings account with a deposit of $12,000.
The account earned simple interest.
He did not make any additional deposits or withdrawals.
At the end of 3 years, the account balance was $12,324.
What is the annual interest rate on this account?
0.9%
1.8%
2.7%
3.6%
Answer:
the answer is 236.25
Step-by-step explanation:
The interest rate on annual basis on the given account should be considered as 0.9%.
Calculation of the annual interest rate:
Here the interest amount be
= Future value - principal
= $12,324 - $12,000
= $324
Now the interest rate be like
Interest = Principal * rate * time period
$324 = $12,000 * rate * 3/ 100
So, the rate be 0.9%.
Hence, The interest rate on annual basis on the given account should be considered as 0.9%.
Learn more about interest rate here: https://brainly.com/question/14191952
Silvia has completed 8 math exercises e. This one fourth of the assignment. How many exercises were assigned?
Answer:
32
Step-by-step explanation:
since there are 4 parts, multiply 8 by 4
Find the interquartile range (IQR) of the data in the dot plot below.
goals
Luis's lacrosse scoring each season
43
45
46
47
48
Number of goals
Answer: According to the picture the IQR would be 3.5
Step-by-step explanation:
The caverns of sonora have two different tours the crystal palace and the horseshoe lake tour
Given the following formula, solve for v.
S=1/2a2v+c
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
Tara has a plastic string that is 3 3/4 feet long. She will cut the string to make bracelets that are each 5/8 foot long. Explain how to use the number line to determine the maxium number of braceletss tara can make
Answer:
The answer is below
Step-by-step explanation:
Given that the length of the plastic string is 3 3/4 feet = 15 / 4 feet.
Bracelets of 5/8 foot long is needed to be made. To determine the maximum number of bracelets that can be made; using the number line, 5/8 is subtracted repeated times from 15/4.
We can see that when 5/8 is subtracted 6 times from 15/4, the result is 0.
15/4 ÷ 5/8 = 6
Hence Tara can make 6 bracelets from the plastic sting.
b. Logan continues the game with this clue: “My decimal is 3 hundredths less
than 3 tenths." Use pictures and/or words to show your thinking.
Answer:
Step-by-step explanation:
Three tenths is 3/10 or 30/100 so if we take three hundreds from this it is 27 over hundred ( 27/100).
Let B be between a and C use the segment addition postulate to solve for W
AB= 4w-4
BC = 2w-8
AC = 24
A- w=10
B- w=6
C- w=4
D- w=-2
Answer:
Value of w = 6
Step-by-step explanation:
Given:
AB= 4w-4
BC = 2w-8
AC = 24
Find:
Value of w
Computation:
AB + BC = AC
4w - 4 + 2w - 8 = 24
6w - 12 = 24
6w = 24 + 12
6w = 36
w = 6
Value of w = 6
Please answer quickly Thank You
Answer:
find and interpret the value of × so that t(×) = 114.
The angle between the generator and the central axis of a double-napped cone is 60°. A plane intersecting the cone makes an angle of 50° with the central axis. Which conic section is formed?
circle
ellipse
hyperbola
parabola
Answer:
hyperbola
Step-by-step explanation:
given data
double-napped cone = 60°
plane intersecting cone angle = 50°
solution
conic section is formed hyperbola because here plane intersecting the cone makes an angle of 50° is less than angle b/w generator and central axis of 50°
so correct answer is hyperbola
Answer:
c on edge
Step-by-step explanation:
Jason took out an 800$ loan from his bank two years ago. He recently paid 860$ Back to the bank. This included the original loan amount and the simple interest charged to him. What was the annual interest rate of Jason’s loan
Answer:
3.75%
Step-by-step explanation:
Principal , P= $800
Number of years, t = 2
Total Amount paid back(principal + simple interest) , A = $860
To obtain the interest rate on the loan :
We use the Relation :
A = P(1 + rt)
r = interest rate
860 = 800(1 + 2r)
860 / 800 = 1 + 2r
1.075 = 1 + 2r
1.075 - 1 = 2r
0.075 = 2r
r = 0.075 / 2
r = 0.0375
Hence, interest rate on loan = 0.0375 = (0.0375 * 100%) = 3.75%
What’s the decimal as a persent
Answer:
37/50
Step-by-step explanation:
74/100
37/50
Answer:
37/50
Step-by-step explanation:
37 ÷ 50 = 0.74
Hope this helped!
Have a supercalifragilisticexpialidocious day!
PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.
Answer:
6x+6y+6
Step-by-step explanation:Distributive property and adding
What's the answer she gave the class a test and I dont know the answer cause she ain't teach us
A student has a class that is supposed to end at 9:00am and another that is supposed to begin at 9:10am. Suppose the actual ending time of the 9am class is a normally distributed random variable (rv) X1 with mean 9:02am and standard deviation 1.5 minutes. Suppose that the starting time of the 9:10am class is a normally distributed rv X2 with mean 9:10am and standard deviation 1 minute. Suppose further that the time necessary to
Answer:
0.8340
Step-by-step explanation:
The aim of this question is to find the probability that the student makes it to the second class prior to when the lecture commences.
Provided that A, B, and C are independent of each other from the full complete question.
Then; we want P(A + C < B)
So A [tex]\sim[/tex] N (2, 1.5)
B [tex]\sim[/tex] N (10, 1)
C [tex]\sim[/tex] N (6, 1)
P(A + C - B < 0)
Since they are normally distributed( i.e. A + C - B)
Then;
E(A + C -B) = E(A) + E(C) - (B)
E(A + C -B) = 2 - 10 + 6
E(A + C -B) = -2
Var(A+C -B) = Var(A) + Var (B) + Var (C)
Var(A + C -B) = (1.5)² + (1)² + (1)²
Var(A + C -B) = 4.25
The standard deviation = [tex]\sqrt{4.25}[/tex]
The standard deviation = 2.06155
[tex]P(A+C-B) = p \Big (Z < \dfrac{0-(-2)}{2.06155} \Big )[/tex]
[tex]P(A+C-B) = p \Big (Z \le 0.97014 \Big )[/tex]
[tex]\mathbf{P(A+C-B) = 0.8340}[/tex]
Three units to the right of seven is?
Answer:
10 i think
Step-by-step explanation:
Answer:
Notice that distance is always positive or 0. (-3)
Step-by-step explanation:
I want to put 1/2 of a banana in each sack lunch. If I have
9 bananas, how many sack lunches can I make?
Answer:
18 sack lunches.
Step-by-step explanation:
You want 1/2 bananas and you have 9.
9 / 1/2 = 9 x 2 = 18 lunches.