As you can see sphere's diameter = to a cube's edge...so the diameter of the sphere is also 12 cm. So its radius is 6 cm.
v= 4/3*πr³
v=4/3*3.14*6³
v=904.32
The volume of the sphere is about 904 cubic centimeters.
Hope this helps!
Find
[tex] \frac{dy}{dx} [/tex]
if
[tex]y = (x + \sqrt{x} )^{2} [/tex]
Answer:
[tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = (x + \sqrt{x})^2[/tex]
Step 2: Differentiate
Chain Rule: [tex]\displaystyle y' = 2(x + \sqrt{x})^{2 - 1} \cdot \frac{d}{dx}[x + \sqrt{x}][/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}})^{2 - 1} \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Basic Power Rule: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 \cdot x^{1 - 1} + \frac{1}{2}x^{\frac{1}{2} - 1})[/tex]Simplify: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2}x^{-\frac{1}{2}})[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2x^{\frac{1}{2}}})[/tex]Multiply: [tex]\displaystyle y' = 2[(x + x^{\frac{1}{2}}) + \frac{x + x^{\frac{1}{2}}}{2x^{\frac{1}{2}}}][/tex][Brackets] Add: [tex]\displaystyle y' = 2(\frac{2x + 3x^{\frac{1}{2}} + 1}{2})[/tex]Multiply: [tex]\displaystyle y' = 2x + 3x^{\frac{1}{2}} + 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Which statement describes graph
Answer:
Step-by-step explanation:
There are no statements here
Anyone know the answer?
Answer:
2
Step-by-step explanation:
Isabella is playing a board game. The probability that Isabella will lose a turn on her next turn is 11%. Which word or phrase describes the probability that Isabella will lose a turn?
Answer:
unlikely
Step-by-step explanation:
11% is closer to 0 than it is to 1/2. when something may occur, but significantly less than half of the time, we say it is unlikely
Rocco has a weekly reading schedule, reading for 4 hours per day on some days and 2 hours per day on the other days. He reads a total of 24 hours in a seven-day week. On how many days does he read for 4 hours?
Answer:
hm
Step-by-step explanation:
and then I say no one knows where I I am to find it and then he
Find the volume of a sphere whose diameter is 27 ft
Answer:
10,305.99 ft^3
Step-by-step explanation:
:) Hope this helped
Alfred paid $36,187.89 for his new car. If he took out a loan and was given a 3.15 % interest rate compounded semi-annually for ó years, how much did he borrow? Round your answer to the nearest whole number.
Answer:
[tex]A = P(1+\frac{r}{n})^{nt}\\\\[/tex]
A = 36187.89
r= 3.15% = 0.0315
n = 2
t = 6
[tex]36187.89= P(1 + \frac{0.0315}{2} )^{2*6)[/tex]
[tex]36187.89 = P( 1+0.01575)^{12}\\\\P = \frac{36187.89}{1.01575^{12}} = 30000.0024[/tex]
Answer $30,000
Find the missing exponent: p^2 ∙ p^3 ∙p^? = p^9
Answer:
34
Step-by-step explanation:
Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.
Answer:
38
Step-by-step explanation:
She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.
Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.
If there are 459 bags, and each box can hold 12, how many boxes will be full? Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.
38 boxes will be full, with 3 remainder bags.
Rewrite in simplest terms:
10 (7g - 9h) -4h - 8 (-8 +8g)
Answer:
=6g + −94h + 64
Step-by-step explanation:
Let's simplify step-by-step.
10(7g−9h)−4h−8(−8+8g)
Distribute:
=(10)(7g)+(10)(−9h)+−4h+(−8)(−8)+(−8)(8g)
=70g+−90h+−4h+64+−64g
Combine Like Terms:
=70g+−90h+−4h+64+−64g
=(70g+−64g)+(−90h+−4h)+(64)
=6g + −94h + 64
Answer:
your answer is 6g-94h+64
Step-by-step explanation:
1. 10 (7g - 9h) -4h - 8 (-8 +8g)
2. 70g-90h-4h+64-64g
3. 6g-94h+64
SUPER CONFUSED! EXPLAIN PLS! EMERGANCY!
Answer:
73.12m²
Step-by-step explanation:
Okay, you can break this figure into a half-circle and a triangle, we're going to start with the triangle (using the handy formula sheet you have up there)
12 x 8 = 96
96 x ½ = 48
Now we do the semicircle (the formula for a circle is pi x radius² )
the radius is half of the diameter so:
8 ÷ 2 = 4
4² = 16
we're using 3.14 for pi so:
3.14 x 16 = 50.24
Now we'd normally stop there, but this is only a semicircle, so we have to chop it in half again:
50.24 ÷ 2 = 25.12
Now we add both of those together:
48 + 25.12 = 73.12
So the area of the figure is 73.12m²
hope this helps:)
Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches. Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches. Both aquariums are rectangular prisms. How much more volume does Jerome’s aquarium have than Lim’s?
Answer:
the answer is 864 in3
Step-by-step explanation:
Jerome photographed an aquarium that measured 12 inches by 18 inches by 24 inches.
So V=LxWxH....
12 x 18 x 24= 5,184
Then...
Lim photographed an aquarium that was 12 inches by 30 inches by 12 inches.
So= V=LxWxH
12 x 30 x 12=4,320
And they need to see who has more so 5,184-4,320=864in3
I hope this helps also Into Math said it was correct :)
What does b represent in y=mx+b
Answer:
the y-intercept
Step-by-step explanation:
The y-intercept is where the line cuts the line.
Answer:
y intercept
Step-by-step explanation:
what equation will give the perimeter of the figure? HELP HELP HELP
Answer:
(2l + 2w) + (a + b + c)
Step-by-step explanation:
The formula for the perimeter of a rectangle is
P = 2l + 2w
so if you substitute, it becomes
P = 2(12) + 2(2)
= 24 + 4
= 28
For the perimeter of a triangle the correct formula would be
P = a + b + c
The missing side in the triangle is 3 because 15 - 12 is 3.
If you substitute, it becomes
P = 2 + 3 + 6
P = 11
If we add both perimeters together we get the full perimeter of the figure which is
28 + 11 = 39
I am not sure if you wanted the answer as well but just in case :)
Find BDC of the geometry question.
Answer:
∠ BDC = 54°
Step-by-step explanation:
The inscribed angle BDC is half the measure of its intercepted arc , so
∠ BDC = [tex]\frac{1}{2}[/tex] × 108° = 54°
I need help with geometry
Answer:
[tex]1,080^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles of a polygon with [tex]n[/tex] sides is given by [tex](n-2)\cdot 180^{\circ}[/tex].
Substituting [tex]n=8[/tex], we get:
[tex](8-2)180=6\cdot 180=\boxed{1,080^{\circ}}[/tex]
hey! please help i’ll give brainliest
Answer:
True
Step-by-step explanation:
Adding -ed to a verb will make it a simple past tense verb
Hope this helps :)
Answer:
True
Step-by-step explanation:
it is past tense
Consider triangle ABC.
What is the value of y in the triangle?
С
809
Angle y =
B В
Answer:
50
Step-by-step explanation:
(c) Charmaine compared the statistics from her team's baseball season. She determined that having fewer hits did not imply that a player
caught more or fewer balls. What should she conclude?
There is no correlation between number of hits and number of balls caught.
There is a correlation between number of hits and number of balls caught. There may or may not be causation. Further studies would have to be
done to determine this.
There is a correlation between number of hits and number of balls caught. However, there is no causation. This is because there is probably a
decrease in the number of balls caught with a decrease in the number of hits.
Answer:
There is no correlation between number of hits and number of balls caught.
A player could be terrible at batting but great at fielding. There is no correlation here.
What is the area of triangle ABC?
9514 1404 393
Answer:
C. 36√3 square units
Step-by-step explanation:
Your knowledge of special triangles tells you that height CD is ...
CD = 6√3
so the area is ...
A = 1/2bh
A = 1/2(12)(6√3) = 36√3 . . . . square units
_____
Additional comment
The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...
1 : √3 : 2
This means the length DB is 12/2 = 6, and the length CD is 6√3.
y = x + 1
in graph form
Answer:
See graph
Step-by-step explanation:
The histogram shows the number of part-time and full-time employees in each salary range for the Watchdog Clock Factory. How many employees earn $26,000 to $35,000 yearly?
Answer:
7 employees are in the $36,000 to 45,00 salary range.
Step-by-step explanation:
In the bar chart, find the bar labeled 36-45. Look at the top of that bar and then look horizontally left, to the edge where 0 thru 20 is written. Looks to me that the height of the 36-45 bar is at 7 on that scale.
I hope that help
Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?
Answer:
45m²
Step-by-step explanation:
=> Area = base × height
=> A = 5m × 9m
=> A = 45m²
Evaluate the function below for x= 2. F(x) = 2.
F(x)=2x³-x²-5x+6
A. 8
B. 16
C. 56
D. 4
Answer:
this is the correct answer
The graphs of linear functions fand g are shown on the grid.
which function best represented by the graph of g
Answer:
g(x) = 3f(x)
Step-by-step explanation:
We can see that for function g;
When x = 1, y = 3
When x = 2, y = 6
When x = -1, y = -3
When x = -2, y = -6
For function f;
When x = 1, y = 1
When x = 2, y = 2
When x = -1, y = -1
When x = -, y = -2
We can see that the output of g(x) is always 3 times that of f(x) for same values of x.
Thus;
g(x) = 3f(x)
Which expression is equivalent to a2 + 2a – 8?
A. (a + 2)(a – 4)
O B. (a + 1)(a – 8)
o C. (a - 1)(a + 8)
D. (a + 4)(a - 2)
Answer:
D
Step-by-step explanation:
(a+4)(a-2)=a^2+2a-8
a*a=a^2
a*(-2)=-2a
a*4=4a
4*(-2)=-8
a^2-2a+4a-8=a^2+2a-8
Finding the Area of Faces of a Rectangular Prism
Select Transform to change the drawing of the figure.
Which expression could be used to find the combined
area of the right and left faces of the prism?
O (
63) + (
26)
O (32) + (32)
O (
62) + (32)
O (26) + (
26)
2 cm
3 cm
6 cm I need help
Transform
Answer:
It is hard which grade you are
Step-by-step explanation:
Answer: B
Step-by-step explanation:
2021 Edge
helpp me !!!!!!!!!!!!!! please
need help on question 26
Answer:
y = 2x - 3.
Step-by-step explanation:
26, The slope is 2 and y-intercept is -3
What is Harry's unpaid balance?
0 $74.89
O $89.89
O $112.50
0 $127.50
Answer:
what is harry unpaid balance
0$74.89