Hey there!
(6^3 * 2^6) / 2^3
= (6 * 6 * 6 * 2 * 2 * 2 * 2 * 2 * 2) / 2 * 2 * 2
= (36 * 6 * 4 * 4 * 4) / 4 * 2
= (216 * 16 * 4) / 8
= 3,456 * 4 / 8
= 13,824 / 8
= 1,728
Looking for something that gives you the result of: 1,728
Option A.
12^3
= 12 * 12 * 12
= 144 * 12
= 1,728
Option A. is. possible answer
Option B.
6^3
= 6 * 6 * 6
= 36 * 6
= 216
216 ≠ 1,728
Option B. is incorrect
Option C.
12^6
= 12 * 12 * 12 * 12 * 12 * 12
= 144 * 144 * 144
= 20,736 * 144
= 2,985,984
2,985,984 ≠ 1,728
Option C. is also incorrect
Option D.
2^6 * 2^3
= 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4 * 4 * 2
= 16 * 16 * 2
= 256 * 2
= 512
512 ≠ 1,728
Option D. is also incorrect
Option E.
2^3 * 3^3
= 2 * 2 * 2 * 3 * 3 * 3
= 4 * 2 * 9 * 3
= 8 * 27
= 216
216 ≠ 1,728
Option E. is also incorrect.
Therefore, the answer should be:
Option A. 12^3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
The volume of a cone is 735 pi cubic millimeters and the height is 5 millimeters. What is the radius of the cone.
Answer:
7 mm
Step-by-step explanation:
735pi=1/3*5*pi*r^2
735pi/1/3pi
147=5*r^2
49=r
If you have any questions please comment them!
please solve the equation: -2x(-3x2^y)(2y)=?
Answer:
6x^2yx2^1+y
Step-by-step explanation:
Which expression represents the perimeter, in units, of this trapezoid? (45 points)
Answer:
A. 7x + 3
Step-by-step explanation:
The perimeter of a 2D shape is the distance all the way around the outside.
⇒ perimeter = (2x + 1) + (x + 1) + (3x - 1) + (x + 2)
= 2x + 1 + x + 1 + 3x - 1 + x + 2
= 2x + x + 3x + x + 1 + 1 - 1 + 2
= 7x + 3
Help me bcuz you earn points
Which shows how to solve the equation -4/5 x = 80 for x in one step
Answer:
[tex] - \frac{1}{100} [/tex]
Step-by-step explanation:
[tex] - \frac{4}{5x} = 80 \\ - \frac{4}{80 } = 5x \\ x = - \frac{1}{100} [/tex]
can someone please help me please
Answer:
1. 48
2. 4
3. 12
Step-by-step explanation:
Find the volume. Show work!!
Step-by-step explanation:
this is a combined object :
there is the basic block at the bottom (21×21×17), and there is a pyramid on top of it.
so, we need to calculate the volume of both parts and add them for the total volume.
the volume of the block is, as mentioned :
21 × 21 × 17 (length×width×height) = 7,497 ft³
the volume of a pyramid is
length×width×height/3
which is in our case
21 × 21 × 9 / 3 = 21 × 21 × 3 = 1,323 ft³
so, the total volume is
7,497 + 1,323 = 8,820 ft³
If r is directly proportional to the
square of s and r = 72 when
= 12, find r when s = 8.?
Answer:
r2=48
Step-by-step explanation:
r1=72
s1=12
s2=8
[tex]r \alpha s \\ \frac{r1}{s1} = \frac{r2}{s2} \\ \frac{72}{12} = \frac{r2}{8} \\ r2 = 8 \times \frac{72}{12} = 48[/tex]
i need help with a math problem
Answer:
52 square meters
Step-by-step explanation:
» Concepts
The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.
» Application
We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!
» Solution
[tex]2(3*4+2*4+2*3)[/tex] [tex]2(12+8+6)[/tex] [tex]2(26)[/tex] [tex]52[/tex]Helpppp pleaseeeeeeee
solve it by using high order derivative
y=1÷(X+2)(x^2+4)
Answer:
I think it is ± 2y−2X1 −22y− 2X1−2+4=x2=x
Step-by-step explanation:
hope this helps if not let me know
PLEASE HELP
Write an equation for the function graphed above.
The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
How to determine the equation of the graph?The graph is a secant graph, and it has the following form
[tex]y = a\sec(bx) + c[/tex]
From the graph, we have the following parameters:
The amplitude (a) is calculated using:
a = 0.5 *(Local minimum - Local maximum)
a = 0.5 *(5 + 1) = 3
The vertical shift (c) is calculated using:
a = 0.5 *(Local minimum + Local maximum)
a = 0.5 *(5 - 1) = 2
The period (b) is calculated using:
[tex]b = \frac{2\pi}{T}[/tex]
This gives
[tex]b = \frac{2\pi}{6}[/tex]
Evaluate
[tex]b = \frac{\pi}{3}[/tex]
Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]
[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]
Read more about graphs at:
https://brainly.com/question/4025726
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Is the sequence 2, 4, 8, 16, ... arithmetic? If so, find the common difference.
Answer:
First of all it's a geometric sequence and it is multiplying 2 every time
Step-by-step explanation:
2*2=4
4*2=8
8*2=16
The solution set for the equation of a circle is all the_____ on the circle.
Solve the expression below.
1 2/4 +2 1/4
[tex]1 \dfrac 24 +2 \dfrac 14\\\\=1 + \dfrac 24+ 2 + \dfrac 14\\\\=3 + \dfrac 34\\\\=3 \dfrac 34[/tex]
1/2x +4y=-4 and 3y=0.25x-8
Answer:
because 9 I 5x1 *
Step-by-step explanation:
do multiply 5 *1
A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years
The population at the end of the 10 years is 6,500.
Given that,
A town with a population of 5,000 grows 3% per year.
We need to find the population at the end of 10 years.
Based on the above information, the calculation is as follows:
= 5,000 + 1,500
= 6,500
Therefore we can conclude that the population at the end of the 10 years is 6,500.
Is 6 pints and 60 fluid ounces greater than, less than, or equal to? Explain.
Please calculate the size of Č please.
Edit: It seems you want to find the measure of the angle at vertex C.
Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then
x • y = ||x|| ||y|| cos(γ)
Translating these vectors so that they start at the origin O, we get
C to B : x = (-2, 2) - (6, -2) = (-8, 4)
C to A : y = (6, 4) - (6, -2) = (0, 6)
Compute the dot product of x and y :
x • y = (-8, 4) • (0, 6) = 24
Compute their magnitudes:
||x|| = √((-8)² + 4²) = 4√5
||y|| = √(0² + 6²) = 6
Solve for γ :
cos(γ) = (x • y) / (||x|| ||y||)
cos(γ) = 24/(24√5)
cos(γ) = 1/√5
γ = arccos(1/√5) ≈ 63.4349°
Jennifer is flying a kite. She is looking up at the kite at an angle of elevation of 39º. If the hand that is holding the kite string is 5.5 feet above the ground, what is the kite's vertical distance from the ground ?
See attachment for answer.
Need help with this quick.
A trapezium is a quadrilateral. The option that is true for the trapezium is A, D, and E.
What is Trapezium?A trapezium is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.
The given trapezium is an isoceles trapezium. Therefore, the properties of the trapezium that are true for KLMJ are:
KL is parallel to JM∠J is supplementary ∠K∠J is congruent to ∠M (Valid only for isoceles trapezium).Hence, the option that is true for the trapezium is A, D, and E.
Learn more about Trapezium:
https://brainly.com/question/22607187
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what expression is equivalent to -7(y-2)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Here we go ~
[tex] \sf - 7(y - 2)[/tex][tex] \sf - (7 \cdot y) -(7 \cdot 2)[/tex][tex] \sf - 7 y-( - 14)[/tex][tex] \sf - 7 y + 14[/tex]The equivalent expression will be ~
[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]
help please i really need help asap
Answer:
answer is 60
Step-by-step explanation:
80+40+y=180 reason (co-interior angles supplementary)
y=180-80-40
y=60
Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of 3000
(pie symbol) in3
. One day, her
3
sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is
completely full when Carissa begins scooping.
(a) One cup has a diameter of 5 in. and a height of 6 in. How many cups of water must Carissa scoop out
of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
Show all your work.
(b) One cup has a diameter of 6 in. and a height of 6 in. How many cups of water must she scoop out of
the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
WORTH 20 POINTS
Answer:
a) 80
b) 56
Step-by-step explanation:
a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]
Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.
Find the minimum value of the function f(x) = 1.5x2 + 10x + 12 to the nearest
hundredth.
Answer:
-14/3
Step-by-step explanation:
Use derivative = 0 to find turning point(S)
D f(x) = 3x + 10 = 0
3x = - 10
X = - 10/3
When X = - 10/3
F(x) = 1.5(10/3)^2 - 10(10/3) + 12
= (3*10*10) / (2*3*3) - 100/3 +12
= 50/3 - 100/3 + 36/3
= - 14/3
Your company obtains a score of 105 out of 115 on a customer satisfaction
survey. What was the percentage score obtained on the survey by the company?
(1) 94,25%;
(2) 109,52%;
(3) 91,30%;
(4) 95,24%.
Answer:
(3)
Step-by-step explanation:
Simply divide 105/115
Answer:
(3) 91.30%
Step-by-step explanation:
[tex]\sf Percentage=\left(\dfrac{Value}{Total\:value}\right) \times 100[/tex]
[tex]\begin{aligned}\implies \sf Percentage\:score & = \sf \left(\dfrac{105}{115}\right) \times 100\\& = \sf 0.91304347...\times 100\\& = \sf 91.30\%\:(nearest\:hundredth)\end{aligned}[/tex]
A certain population has been shown to have a 2% annual growth rate. The
initial population is 75,000. What will the population be after 10 years
Answer:
The population after 10 years will be 90,000.
Explanation:
2% of 75,000 is 1,500
the population will grow by 1,500 each year.
so 1,500 times 10 is 15,000
so than we add 75,000 + 15,000
we get the answer of 90,000.
Please mark me brainliest. Thank you.
Answer:
91425 population
Step-by-step explanation:
2% = .02 10 years 75 000 start
75 000 (1+.02)^10 = 91425
find the diameter of the object
Answer:
4
Step-by-step explanation:
The diameter of a circle is 2 times the radius. (the diameter is the length from an outer point in the circle, to one directly across)
In this case, the radius is 2.
So, 2 x 2 = 4.
The diameter is 4.
4 in
Explanation:-The diameter of a circle is twice its radius. Here the given radius is 2 in.
So diameter = 2 in × 2 in = 4 in
______________Radius = Diameter/2
Diameter = Radius × Radius
There are 30 dogs staying in some boarding kennels.
12 of the dogs are brown.
What fraction of the dogs in the boarding kennels are not brown?
Answer: 3/5 or 18/30
Step-by-step explanation: You have to find how many in total are not brown, which is 30 - 12 = 18
18/30 are not brown, or simplified is 3/5
Which phrase is the best description of a scatter plot in which the variables are correlated with r = 0.16?
O weak negative correlation
O weak positive correlation
O strong negative correlation
O strong positive correlation
Answer:
C.) Strong negative correlation
Step-by-step explanation: