Answers
L = length = 8 mm
W = width = 6 mm
H = height = 4 mm
TSA = 2*(L*W + W*H + L*H)
TSA = 2*(8*6 + 6*4 + 8*4)
TSA = 208
The units are "square millimeters" often written as sq mm or "mm^2"
Answer: 208
--------------------------------
Part B)
From part A, the total surface area (TSA) was 208 square mm. If it costs $3 per square mm, then that means the total cost C is
C = (cost per sq mm)*(total surface area)
C = 3*208
C = 624
The units for the cost are in dollars. This result is assuming that there isn't any waste.
Answer: 624
--------------------------------
Part C)
Volume = Length*Width*Height
V = L*W*H
V = 8*6*4
V = 192
The units are in cubic millimeters. The notation is sometimes "cubic mm" or "mm^3"
Answer: 192
Related Questions
A can in the shape of a right cylinder is filled with 10W-40 oil. The weight of 10W-40 oil is 0.857 gram per cubic centimeter. If the cylinder has a radius of length 5 cm and a height of 10 cm, calculate the weight of the oil (in grams) in the can. Round your answer to the nearest tenth. Use 3.14 for pi
Answers
A.833B.117C.704D.647
Answer: Weight of the oil is 672.74 grams.
Step-by-step explanation:
Since we have given that
Radius of cylinder = 5 cm
Height of cylinder = 10 cm
Volume of cylinder would be
[tex]\pi r^2h\\\\=3.14\times 5\times 5\times 10\\\\=785\ cm^3[/tex]
Weight of 10W-40 oil = 0.857 grams per cubic cm
So, Weight of the oil in the can would be
Volume × Weight per cm³
[tex]=785.71\times 0.857\\\\=672.74\ grams[/tex]
Hence, Weight of the oil is 672.74 grams.
Question part points submissions used use a power series to approximate the definite integral, i, to six decimal places. 0.3 ln(1 + x4) dx 0
Answers
[tex]\implies\ln(1+x^4)=\displaystyle-\sum_{n=1}^\infty\frac{(-x^4)^n}n[/tex]
[tex]\displaystyle-\int_0^{0.3}\sum_{n=1}^\infty\frac{(-x^4)^n}n\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\int_0^{0.3}x^{4n}\,\mathrm dx[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}}n\dfrac{x^{4n+1}}{4n+1}\bigg|_0^{0.3}[/tex]
[tex]=\displaystyle\sum_{n=1}^\infty\frac{(-1)^{n+1}(0.3)^{4n+1}}{n(4n+1)}[/tex]
[tex]\approx0.000485[/tex]
Write the event as a set of outcomes. We flip three coins and obtain more tails than heads.
Answers
We have 8 outcomes in total: HHH, HHT, HHT, TTH, HHT, HTT, TTH, and TTT
The probability that we obtain more tails than heads is 4/8
If Q is directly proportional to P and Q = 28 when P = 4
i) express Q in terms of P
ii) find the value of Q when P=5
iii) calculate the value of P when Q = 42
Answers
Answer:
May be !
i> Q = 7P
ii> when p =5 then from above eqn we can find Q = 7p and = 7×5=35
iii> from eqn i we can write p = Q/7 So when Q=42 then P=Q/7=42/7=6
An employer interviews 10 people for 6 technical support positions in a company, and 5 of the 10 people are women. If all 10 are qualified, in how many ways can the employer fill the technical support positions if exactly 3 are women?
Answers
where M1 is Man 1, W1 woman 1 and so on...
The formula [tex]C(n, r)= \frac{n!}{r!(n-r)!} [/tex], gives the total numbers of ways of creating groups of r out of n.
r! means 1*2*3*...(r-1)*r.
The technical support group is going to have exactly 3 women, which will be chosen from 5 women, and 3 men which will be chosen from 5 men.
Each of the selections can be done in C(5, 3) many ways, and since the any selection of the men and women can be combined, in total there are:
C(5,3) *C(5, 3) many ways of creating the technical support group.
[tex]C(5,3) = \frac{5!}{3!2!}= \frac{5*4*3*2*1}{3*2*1*2*1}=10 [/tex]
10*10=100 many ways of forming the group.
Answer: 100
Simplify 2(f^4)^2 f^3 divided by 6f^9
Answers
pertinent rules of exponents:
(a^b)^c=a^(b*c), (a^b)(a^c)=a^(b+c), and (a^b)/(a^c)=a^(b-c) so
(2f^(4*2)*f^3)/(6f^9)
(2f^8*f^3)/(6f^9)
(2f^(8+3))/(6f^9)
(2f^11)/(6f^9)
(2/6)(f^11/f^9)
(1/3)(f^(11-9)
(1/3)(f^2)
(f^2)/3
Final answer:
The expression 2(f^4)^2 f^3 divided by 6f^9 simplifies to 1/3 f^2, after applying the properties of exponents and dividing coefficients.
Explanation:
To simplify the expression 2(f^4)^2 f^3 divided by 6f^9, we need to use the properties of exponents. First, we simplify (f^4)^2 by multiplying the exponents, which gives us f^8.
Then, we multiply f^8 by f^3 to get f^11. Next, we divide our new expression 2f^11 by 6f^9. This can be done by dividing the coefficients (2 divided by 6) and subtracting the exponents of f (11 minus 9), resulting in f^2 over 3, or 1/3 f^2.
Fill in the blank. In the triangle below x = ______. Round your answer to two decimal places.
Answers
x=35tan42° units
x≈31.51 units (to nearest hundredth of a unit)
Answer:
[tex]x=31.51\ units[/tex]
Step-by-step explanation:
we know that
In the right triangle
[tex]tan(42\°)=x/35[/tex]
isolate the variable x
[tex]x=35tan(42\°)=31.51\ units[/tex]
How can you use place value and period names to read and write 324,904 in word form.
Answers
three hundred twenty four thousand, nine hundred four.
no ands were in between the numbers because there are no decimals.
hope this helped, xx
From September 1981 to September 1984 the enrollment at a particular school declined to 11%. If the number of students enrolled at that school in September 1984 was 712 what was the enrollment in September 1981?
a) 78 b) 634 c) 701
d) 790 e)800
Answers
The assembly department started the month with 17,500 units in its beginning work in process inventory. an additional 288,000 units were transferred in from the prior department during the month to begin processing in the assembly department. there were 29,250 units in the ending work in process inventory of the assembly department. how many units were transferred to the next processing department during the month?
Answers
Units completed and transferred out=17,500+288,000−29,250
=276,250
Can you help me solve this 2/3 (5 x 4) ÷ 3 + 6/7 =
Answers
this is the order you do the math
parenthesis
exponents
multiplication or division which ever is first
Addition or subtraction which ever is first
2/3 (5 x 4) ÷ 3 + 6/7
2/3 (20)÷3+6/7
40/3÷3+6/7
40/9+6/7
find common denominator
280/63+54/63
334/63 or 5.301
How many license plates can be made using 3 digits and 3 letters of repeated digits and letters are not allowed?statistics?
Answers
What is 6 increased by a number?
Answers
how to write 293,805 in standard and expanded form
Answers
1) standard form : 293805
2) expanded form : 200000 + 90000 + 3000 + 800 + 5
Hope it helped!
what number is 115% of 73.8?
Answers
A triangle has an area of 56 square units its height is 14 units what is the length of its base
Answers
area=56
height= 14
A=1/2 bh
56=1/2 b(14)
56=b(14)/2
8=b
3x+17-5x=12-(6x+3) can someone help
Answers
-2x+17=12-6x-3
-2x+17=9-6x
17=9-4x
8=-4x
x=-2
-2x17=12-6x+3
-2x+17=9-6x
2x+6x=9-17
4x=-8
x=-2
Add (11a + 4b) + (a +4b - 2)
A) 12a + 8b - 2
B) 12a - 2
C) 11a - 2
D) 11a + 8b - 2
Answers
A parachutist's rate during a free fall reaches 165 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 5 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.
Answers
Answer: [tex]250\ m[/tex]
Step-by-step explanation:
Assuming that:
[tex]1\ m=3.3\ ft[/tex]
We can make the conversion from feet per second to meters per second with this procedure:
[tex](165\ \frac{ft}{s})(\frac{1\ m}{3.3\ ft})=50\ \frac{m}{s}[/tex]
Let be "x" the amount of meters the parachutist will fall during 5 seconds of free fall
Knowing that in 1 second the parachutist falls 50 meters, we can calculate "x" by solving the following multiplication:
[tex]x=(50\ \frac{m}{s})(5\ s)\\\\x=250\ m[/tex]
The parachutist's rate of free fall is 165 feet per second, which is equivalent to 50 meters per second. The parachutist will fall approximately 250 meters during 5 seconds of free fall.
Explanation:To convert the rate of 165 feet per second to meters per second, we need to use the conversion factor of 1 meter equals 3.3 feet. So, the rate in meters per second is 165 feet per second divided by 3.3 feet per meter, which equals 50 meters per second.
To find how many meters the parachutist will fall during 5 seconds of free fall, we can multiply the rate of 50 meters per second by the time of 5 seconds. This gives us 250 meters of free fall during 5 seconds.
A _____ is the composition of a translation and a reflection across a line parallel to the direction of translation. glide reflection tessellation rotation dilation
Answers
Answer:
Glide reflection
Step-by-step explanation:
A glide reflection is a composition of a translation and a reflection across a line parallel to the direction of translation. A glide reflection requires a translation on a figure, which is then reflected over a line. This is a symmetry operation that requires a translation rule and a line to reflect over. A common example of this are footsteps in the sand.
The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume of the pool? Use 3.14 for pi .
Answers
volume = pi x r^2 x h
3.14 x 4 x 14^2 = 2461.76 cubic feet
Fixed the typo I had in my answer.
Answer:
So volume of the swimming pool is 2461.76 feet³.
Step-by-step explanation:
The Darnells are having a swimming pool installed.
The pool has a radius of 14 feet and height of 4 feet.
Since pool is in the form of a cylinder so volume of cylinder
= πr²h
= π (14)² × 4
= (3.14) (196) × 4
= 2461.76 cubic feet.
So volume of the swimming pool is 2461.76 feet³.
If cba represents three numbers multiplied together, what property allows you to rearrange the factors to read abc?
Answers
The commutative property allows you to rearrange the factors of a multiplication problem.
Explanation:The property that allows you to rearrange the factors of a multiplication problem is the commutative property. This property states that the order of the factors can be changed without changing the product. In this case, if cba represents three numbers multiplied together, you can rearrange the factors to read abc because multiplying in any order will give you the same product.
For example, if c = 2, b = 3, and a = 4, then cba = 2 * 3 * 4 = 24. Rearranging the factors to abc gives abc = 4 * 3 * 2 = 24, which is the same product.
What is the length of a diagonal of a square with a side length of 6?
Answers
d^2=x^2+y^2, where x and y are the dimensions of the rectangle, however this is just a square, so x=y=s so
d^2=s^2+s^2
d^2=2s^2, and we are told that s=6 so
d^2=2(6^2)
d^2=2(36)
d=√(2(36))
d=6√2 units
d≈8.49 units (to nearest hundredth of a unit)
I- - - - - - - - - - - - I
I I
I d I a
I I
I I
I- - - - - - - - - - - - I
A 8.5
B 8.1
C 12.5
D 12.9
Answers
Put 36 into a fancy calculator with one of those cos() things. You get about 0.81.
So that's the ratio between x and 10.
So basically x/10 = 0.81, or 0.81 * 10 = x.
8.1 = x
Find the measure of the angle and please explain step by step
Answers
angle 4 is the same as angle 8
angle 7 & angle 8 has to equal 180 degree
so angle 7 and angle 4 also have to equal 180
angle 4 is 3 times the size of 7
lets call 7 (x)
so 4(x) = 180
180/4 =45
x=45
angle 7 is 45 degrees
If a pitcher strikes out 5 batters in 4 innings how many batters is it likely he will strike out in, 9 innings round to the nearest whole number
Answers
solve for "x".
If 3/2 divided by 1/4 =n, then n is between
Answers
3*4= 12
2*1= 1
n= 12/1 or 12
Hope this helps!
Jane is making a suit which requires 2 5/8 yards for the jacket and 1 3/4 yards for the skirt. What is the total amount of material she needs? A. 3 1/2 yards B. 3 2/3 yards C. 4 yards D. 4 3/8 yards Mark for review (Will be highlighted on the review page)
Answers
1 3/4 >>> 1 6/8 ( the 6 comes from 8/4 x 3)
The total material that jane need would be:
2 5/8 + 1 6/8
= 3 11/8
= 4 3/8
The answer is option D,
The diameter of a brand of tennis balls is approximately normally distributed, with a mean of 2.63 inches and a standard deviation of 0.03 inch. if you select a random sample of 9 tennis balls, what is the probability that the sample mean is between 2.62 and 2.64 inches
Answers
Final answer:
The probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%, calculated using the Central Limit Theorem to find the standard error and z-scores.
Explanation:
To calculate the probability that the sample mean diameter of the tennis balls is between 2.62 and 2.64 inches, we can use the Central Limit Theorem since we are dealing with a sample of tennis balls rather than just one. The Central Limit Theorem tells us that the sampling distribution of the sample mean will be normally distributed with a mean equal to the population mean (μ) and a standard deviation equal to the population standard deviation (σ) divided by the square root of the sample size (n), which is called the standard error (SE).
Given that the population mean (μ) is 2.63 inches, the population standard deviation (σ) is 0.03 inch, and the sample size (n) is 9, we first calculate the standard error (SE) as follows:
SE = σ / √n = 0.03 / √9 = 0.03 / 3 = 0.01 inch.
Next, we convert the sample mean range (2.62, 2.64) to z-scores, which are measures of how many standard deviations an element is from the mean.
Z for 2.62 = (2.62 - μ) / SE = (2.62 - 2.63) / 0.01 = -0.01 / 0.01 = -1
Z for 2.64 = (2.64 - μ) / SE = (2.64 - 2.63) / 0.01 = 0.01 / 0.01 = 1
Using a standard normal distribution table or calculator, we find the probabilities corresponding to these z-scores. The probability of a z-score being between -1 and 1 is approximately 0.6827 (68.27%).
Therefore, the probability that the sample mean diameter is between 2.62 and 2.64 inches is approximately 68.27%.
3. Solve z2 – 15z + 56 = 0 using the zero product property. A. z = 8, 7 B. z = –5, –2 C. z = 8, –4 D. z = –4, 7
Answers
z² - 15z + 56 = 0
The expression will have a and b values such as a = - 7 and b = -8.
z² - 15z + 56 = 0
(z -7) (z-8) = 0
solving for the first value of z, we have it:
z - 7 = 0
z = 7
Solving for the second value of z, we have it:
z - 8 = 0
z = 8
Therefore, the answer to this problem is the letter "A" which is 7 and 8.