Answers
Answer:
a) 56548.7 cm³
b) 13 minutes
Step-by-step explanation:
a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)
Fill in r=30 gives: 56548.7 cm³
b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes
Related Questions
30 POINTS!!!
Suppose f(x) = x2 and
g(x) = (1/3)^2. Which statement best compares the graph of g(x) with the graph of f(x)?
Image attached
Please help!!!
Answers
Answer:
A. The graph of g(x) is vertically compressed by a factor of 3.
Step-by-step explanation:
When there is a fraction, that means that there is a veritcal dilation.
Hope this helps! Good luck!
What number is 16% of 80?
Write and solve an equation to answer the question.
Answers
Answer:
The answer is 12
Step-by-step explanation:
Trust me, kay? Please mark Brainliest!!!!
Answer:
12.8
Step-by-step explanation:
16% of 80
[tex]\frac{16}{100}[/tex] × 80
[tex]\frac{16}{10}[/tex] × 8
[tex]\frac{16}{5}[/tex] × [tex]\frac{4}{1}[/tex]
16 × 4
5
12[tex]\frac{4}{5}[/tex] = 12.8
Write the number in standard notation. 4.16 × (10) ^–5
Answers
Answer:
.0000416
Step-by-step explanation:
Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left
Answer:
0.0000416.
Step-by-step explanation:
When 10 is raised to a negative power, that means that the decimal point will be moved to the left a certain number of units.
In this case, it is 10^-5, so the decimal point will move to the left by 5 units.
4.16 * 10^-5 = 000004.16 * 10^-5 = 0.0000416.
Hope this helps!
How do I solve: 2 sin (2x) - 2 sin x + 2√3 cos x - √3 = 0
Answers
Answer:
[tex]\displaystyle x = \frac{\pi}{3} +k\, \pi[/tex] or [tex]\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi[/tex], where [tex]k[/tex] is an integer.
There are three such angles between [tex]0[/tex] and [tex]2\pi[/tex]: [tex]\displaystyle \frac{\pi}{3}[/tex], [tex]\displaystyle \frac{2\, \pi}{3}[/tex], and [tex]\displaystyle \frac{4\,\pi}{3}[/tex].
Step-by-step explanation:
By the double angle identity of sines:
[tex]\sin(2\, x) = 2\, \sin x \cdot \cos x[/tex].
Rewrite the original equation with this identity:
[tex]2\, (2\, \sin x \cdot \cos x) - 2\, \sin x + 2\sqrt{3}\, \cos x - \sqrt{3} = 0[/tex].
Note, that [tex]2\, (2\, \sin x \cdot \cos x)[/tex] and [tex](-2\, \sin x)[/tex] share the common factor [tex](2\, \sin x)[/tex]. On the other hand, [tex]2\sqrt{3}\, \cos x[/tex] and [tex](-\sqrt{3})[/tex] share the common factor [tex]\sqrt[3}[/tex]. Combine these terms pairwise using the two common factors:
[tex](2\, \sin x) \cdot (2\, \cos x - 1) + \left(\sqrt{3}\right)\, (2\, \cos x - 1) = 0[/tex].
Note the new common factor [tex](2\, \cos x - 1)[/tex]. Therefore:
[tex]\left(2\, \sin x + \sqrt{3}\right) \cdot (2\, \cos x - 1) = 0[/tex].
This equation holds as long as either [tex]\left(2\, \sin x + \sqrt{3}\right)[/tex] or [tex](2\, \cos x - 1)[/tex] is zero. Let [tex]k[/tex] be an integer. Accordingly:
[tex]\displaystyle \sin x = -\frac{\sqrt{3}}{2}[/tex], which corresponds to [tex]\displaystyle x = -\frac{\pi}{3} + 2\, k\, \pi[/tex] and [tex]\displaystyle x = -\frac{2\, \pi}{3} + 2\, k\, \pi[/tex].[tex]\displaystyle \cos x = \frac{1}{2}[/tex], which corresponds to [tex]\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi[/tex] and [tex]\displaystyle x = -\frac{\pi}{3} + 2\, k \, \pi[/tex].Any [tex]x[/tex] that fits into at least one of these patterns will satisfy the equation. These pattern can be further combined:
[tex]\displaystyle x = \frac{\pi}{3} + k \, \pi[/tex] (from [tex]\displaystyle x = -\frac{2\,\pi}{3} + 2\, k\, \pi[/tex] and [tex]\displaystyle x = \frac{\pi}{3} + 2\, k \, \pi[/tex], combined,) as well as[tex]\displaystyle x =- \frac{\pi}{3} +2\,k\, \pi[/tex].I don't know this question. Help.
Answers
Answer:
-60
Step-by-step explanation:
-3 · 2 = -6 and 10⁴ · 10⁻³ = 10⁽⁴⁺⁽⁻³⁾⁾ = 10¹ = 10 so the answer is -6 · 10 = -60.
Find the area ratio of a regular octahedron and a tetrahedron regular, knowing that the diagonal of the octahedron is equal to height of the tetrahedron.
Answers
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The area of a regular octahedron is given by:
area = [tex]2\sqrt{3}\ *edge^2[/tex]. Let a is the length of the edge (diagonal).
area = [tex]2\sqrt{3}\ *a^2[/tex]
Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.
a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:
[tex]h=\sqrt{\frac{2}{3} } e\\but\ h=a\\a=\sqrt{\frac{2}{3} } e\\e=\sqrt{\frac{3}{2} }a[/tex]
The area of a tetrahedron is given by:
area = [tex]\sqrt{3}\ *edge^2[/tex] = [tex]\sqrt{3} *(\sqrt{\frac{3}{2} }a)^2=\frac{3}{2}\sqrt{3} *a^2[/tex]
The ratio of area of regular octahedron to area tetrahedron regular is given as:
Ratio = [tex]\frac{2\sqrt{3}\ *a^2}{\frac{3}{2} \sqrt{3}*a^2} =\frac{4}{3}[/tex]
Mike ran 2 km in 13 minutes. If he continues at this same pace, how long will it take Mike to run 7 km? Round your answer to the nearest minute.
minutes
Answers
Answer:
46 minutes.
Step-by-step explanation:
2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.
minutes: 6 x 7 = 42
seconds: 30 x 7 = 210
seconds pt 2: 210/60 = 3 minutes 30 seconds
adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes
Identifying relationships from diagrams
Answers
Answer: <CED is the right angle, which measures 90 degrees. Since the measure of a straight angle is 180 degrees. <CEA must also be 90 degrees by the Definition of Right Angle. A bisector cuts the angle measure in half. m<AEB is 45 degrees.
first correct answer gets best marks
Answers
Answer:
the answer would be x is less than 6.
Step-by-step explanation:
the reason why it would not be x is less than or equal to 6 is that the circle is not filled in.
Answer:
B
Step-by-step explanation:
x≤6
We can see from the graph that it starts from 6 and goes to 5, 4, 3, 2.
Hope this helps ;) ❤❤❤
a cord of a circle is a line segment connecting any point on the circle to the center of a circle. true or false?
Answers
Answer:
true if I'm wrong I'm so sorry:/
Which sequence of transformations creates a similar but not congruent triangle?
A. Dilation and reflection
B. Reflection and rotation
C. Reflection and translation
D. Translation and rotation
Answers
Answer:
A. Dilation and reflectionStep-by-step explanation:
There are the same angles in similar triangles but sides not necessarily.
In congruent triangles there are the same angles and the same sides.
Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.
The perpendicular distance of (2, -4) from x axis is
Answers
Answer:
hope it helps
Step-by-step explanation:
ans = -4
Answer:
4
Step-by-step explanation:
Let A be the point wich coordinates are (2, -4)
-4 is the ordinate (y)
To find the distance from the x axis use the absolute value.
D (the distance) = | -4| = 4
The distance from the x-axis is 4
four less than three times a number is 20
Answers
Answer:
3x-4
Step-by-step explanation:
Have a good day!!
Answer:
3x-4
Step-by-step explanation:
How much did Angelo pay for his online purchase
Answers
Answer:
Step-by-step explanation:
please include a picture of the question! :)
Jordan and his bro got 100 dollar to divied up. If 1/3 of the money jordon got was the same as 1/2 the money his bro got how much money did his bro get
Answers
Answer:
Jordon's brother got $40
Step-by-step explanation:
We can set up a system of equations to solve this.
Let's say that Jordon got x dollars.
His brother got y dollars.
x+y=100 since they are dividing the 100 dollars
1/3x=1/2y (the same indicates that they are equal)
Multiply the entire second equation by 3.
x=1.5y
Now we can substitute 1.5y in for x in the first equation.
x+y=100
1.5y+y=100
2.5y=100
Divide both sides by 2.5
y=40
Jordon's brother got $40.
Plug that in to find how much Jordon got.
x+y=100
x+40=100
Subtract 40 from both sides
x=60
Jordon got 60.
Solve by the quadratic formula: x^2= 6x-4
Answers
Answer:
3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Step-by-step explanation:
x^2 = 6x - 4
x^2 - 6x + 4 = 0
Now, we can use the quadratic formula to solve.
[tex]\frac{-b\pm\sqrt{b^2 - 4ac} }{2a}[/tex], where a = 1, b = -6, and c = 4.
[tex]\frac{-(-6)\pm\sqrt{(-6)^2 - 4 * 1 * 4} }{2 * 1}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 4 * 4} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{36 - 16} }{2}[/tex]
= [tex]\frac{6\pm\sqrt{20} }{2}[/tex]
= [tex]\frac{6\pm2\sqrt{5} }{2}[/tex]
= 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex]
x = 3 [tex]\pm[/tex] [tex]\sqrt{5}[/tex].
Hope this helps!
Which graph represents the solution set for the system x+y greater than or equal to 5 and -3x+2y less than or equal than to -2
Answers
Step-by-step explanation:
in each equation once substitute the value of x as 0 and again y as zero by this way you will get two values of X and y .
then again find the slope for each equation by the formula
slope= -coefficient of x / coefficient of y
for example,
X+y is greater or equals to 5
or, X+y= 5
or, X=5-y
or, when y is equals to zero
X= 5
and when X is equals to zero
y= 5
then plot the above point in the graph with respect to its slope and the shaded part is the solution
In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?
Answers
Answer:
m∠AVF = 158°
Step-by-step explanation:
In the diagram attached,
m∠AVD = m∠BVE = m∠CVF = 90°
m∠CVD = 22°
∠AVB = ∠EVF
Since ∠AVD = ∠AVC + ∠CVD
Therefore, 90° = m∠AVC + 22°
m∠AVC = 90° - 22°
= 68°
Similarly, m∠CVF = m∠CVD + m∠DVF
90° = 22° + m∠DVF
m∠DVF = 68°
m∠AVC = m∠DVF = 68°
Now ∠AVF = ∠AVD + ∠DVF
= 90° + 68°
= 158°
Solve this system of linear equations. Separate
the x- and y-values with a comma.
15x + 4y = -80
5x + 5y = 10
Answers
Answer:
(-8,10)
Step-by-step explanation:
hope i helped!
u can substitute if u want to recheck
can i get brainliest pls?
-Zylynn
Solve the following 2 + 8 ÷ 2 x 3
Answers
Answer:
14Step-by-step explanation:
Solution,
Use the BODMAS Rule:
B = Bracket
O = Of
D = Division
M= Multiplication
A = Addition
S = Subtraction
Now,
Let's solve,
[tex]2 + 8 \div 2 \times 3[/tex]
First we have to divide 8 by 2
[tex] = 2 + 4 \times 3[/tex]
Calculate the product
[tex] = 2 + 12[/tex]
Calculate the sum
[tex] = 14[/tex]
Hope this helps...
Good luck on your assignment..
Answer:
14
Step-by-step explanation:
2 + 8 ÷ 2 x 3 =
There is an addition, a division, and a multiplication. According to the correct order of operations, we do first the multiplications and divisions in the order they appear from left to right.
= 2 + 4 x 3
= 2 + 12
Now we do the addition.
= 14
At 3:30 p.m., Berto’s train was 34 miles past the egg farm, traveling at an average speed of 85 miles per hour. At the same time on a nearby track, Eduardo’s train was traveling at an average speed of 110 miles per hour and had 12 miles to go before it reached the egg farm. To the nearest hundredth of an hour, after how much time will the trains meet up? 0.11 hours 0.25 hours 0.88 hours 1.84 hours green t-shirts
Answers
Answer:
Step-by-step explanation:
Berto’s train was 34 miles past the egg farm .
Eduardo’s train had 12 miles to go before it reached the egg farm.
Distance between two trains = 34 + 12 = 46 miles
This distance has to be reduced to zero for their crossing each other .
Rate at which this distance is reduced = their relative velocity
= 110 - 85
= 25 miles / h [ They are moving in the same direction ]
So, time taken for them to meet each other
= 46 / relative velocity
= 46 / 25
= 1.84 hours .
Answer:
The answer is D or 1.84 hours.
Step-by-step explanation:
I got 100% on this quiz.
What is the value of this expression when a = 2 and b = -3?
5
Answers
Answer:
5 is the answer..
Step-by-step explanation:
simply by calculating
what are the like terms??? 5x2+3x-10+7x2-8x+11 PLEASE HELP!!!! ASAP!!!!
Answers
Answer:
5x² and 7x² are like terms because they contain x².
3x and 8x are like terms because they contain x.
10 and 11 are like terms because they are constants.
Step-by-step explanation:
Let's recall that the definition of like terms is that they are terms that contain the same variables raised to the same power and only like terms can be combined.
Upon saying that, we have:
5x² and 7x² are like terms because they contain x²
3x and 8x are like terms because they contain x
10 and 11 are like terms because they are constants.
This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x=3 to x=5? a. 8 b. 12 c. 6 d. 16
Answers
Answer:
[tex]\boxed{12}[/tex]
Step-by-step explanation:
When x = 3, y = 13
When x = 5, y = 37
Subtract both y-values to find the change:
37 - 13 = 24
Average of the change:
[tex]\frac{24}{2}[/tex] = 12
What is (5+5×5÷5-5)⁵/5
Answers
Answer:
625.
Step-by-step explanation:
(5+5×5÷5-5)⁵/5
=[ ( 5 + 25 / 5 - 5)^5] / 5
= [(5 + 5 - 5)^5] / 5
= [ (10 - 5)^5] / 5
= 5^5 / 5
= 5^4
= 625.
Answer:
625
Step-by-step explanation:
The rule is to do Parentheses/Brackets, then Exponents/Orders, followed by doing Multiplication and Division from left to right, and finally Addition and Subtraction from left to right. The answer is 625
[tex]\sqrt[3]{x} =\sqrt[3]{512}[/tex]
Answers
Answer:512
Step-by-step explanation:
Let's solve your equation step-by-step.
3√x=3√512
3√x=67.882251
Step 1: Divide both sides by 3.
3√x
3
=
67.882251
3
√x=22.627417
Step 2: Solve Square Root.
√x=22.627417
x=22.6274172(Square both sides)
x=512
Check answers. (Plug them in to make sure they work.)
x=512(Works in original equation)
Answer:
x=512
Which list of ordered pairs represents solutions to x+y=2?
(-4, 6), (0, 2), (4, 2)
(-4, 6), (0, 2), (4, -2)
04-4, -6), (0, 2), (4, 2)
Answers
Answer:
(-4, 6), (0, 2), (4, -2)
Step-by-step explanation:
You just need to guess and check.
(-4,6) → -4 + 6 = 2 ✔
(0,2) → 0+2 = 2 ✔
(4,2) → 4 + 2 = 6
(4, -2) → 4 - 2 = 2 ✔
(-4,-6) → -4 - 6 = -10
The correct answer is the second list (-4, 6), (0, 2), (4, -2)
Please answer the question in the image below ASAP
Answers
Answer:
B
Step-by-step explanation:
Here, we have a grain silo having 2 shapes fused together to make it.
A cylinder and then a hemisphere ( half sphere)
Now, we want to calculate the volume of grain that could completely fill the silo.
Mathematically, to do that, we will need to add the volume of the cylinder to the volume of the hemisphere.
Mathematically,
Volume of cylinder is;
pi * r^2 * h
From the question, r = 6 ft and h = 168 with pi = 22/7
Substituting these values, we have
Volume of cylinder= pi * 6^2 * 168 = 6,048 pi
The volume of the sphere will be;
4/3* pi * r^3= 4/3 * pi * 6^3 = 288 pi
So the total volume of the silo will be;
288 pi + 6,048 pi = 6336 pi
So to have the final result, let’s multiply by value of pi
6336 * 22/7 = 19,193 ft^3
The closest answer here probably due to previous approximations is 19,008 ft^3
Which table of values will generate this graph? On a coordinate plane, points are at (negative 2, 0), (0, 1), (0, negative 4), and (3, 0). A 2-column table with 2 rows. Column 1 is labeled x with entries negative 4, 1. Column 2 is labeled y with entries negative 2, 3. A 2-column table with 2 rows. Column 1 is labeled x with entries negative 2, 3. Column 2 is labeled y with entries negative 4, 1. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, 0, 0, 1. Column 2 is labeled y with entries 0, negative 2, 3, 0. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, 0, 0, 3. Column 2 is labeled y with entries 0, negative 4, 1, 0.
Answers
Answer:
Option D.
Step-by-step explanation:
The given points are (-2,0), (0,1), (0,-4) and (3,0).
In each ordered pair first element is x-coordinate and second is y-coordinate.
For 4 points, the table must have 2 columns and 4 rows.
So, the required table of values is
x y
-2 0
0 -4
0 1
3 0
Therefore, the correct option is D.
Use cubic regression to find a function that fits the following points.
Answers
Answer:
Step-by-step explanation:
To use the regression function on your calculator, first hit STAT then choose 1:Edit by pressing ENTER. Then a table pops up. If it's not clear, arrow up to L1, hit CLEAR then ENTER and the table empties. Do the same with L2. Arrow left and right as needed to get from one column to the other. Then in L1 enter the x values one at a time, hitting ENTER after each. When all the x values are in, arrow over to L2 and enter the y values in the same way.
Next, hit STAT again, then right arrow over to CALC. Choose 6:CubicReg by either arrowing down to it or by pressing 6. If you have a TI 83+, the equation comes right up for you; if you have a TI 84+ or 84+CE, you have to arrow down to CALCULATE and hit ENTER to get your equation. The equation is
[tex]-2x^3+2x^2-4x+3[/tex] with a coefficient correlation (r-squared) value of 1 which means this is a perfect equation for this data and all the points you entered into the table fall perfectly on this curve.