The volume of a sphere is 33409.6 cm³ and the volume of a cube is 8000 cm³. Therefore, the volume of water 8000 cm³ can fit in the sphere.
Given that, a cube with an edge of 20 cm is filled with water.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
We know that, the volume of cube =a³, where a=edge
Here, volume of cube =20³
= 8000 cm³
Radius of sphere is 20 cm
As we know, the volume of sphere = 4/3πr³
= 4/3 ×3.14×20³
= 1.33×3.14×8000
= 33409.6 cm³
The volume of a sphere is 33409.6 cm³ and the volume of a cube is 8000 cm³. Therefore, the volume of water 8000 cm³ can fit in the sphere.
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The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range
Answer:
We can not see the graph, but that does not matter.
For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.
First, for the domain, we start assuming that the domain is the set of all real numbers.
Then we look at our function, there is a point that causes a problem?
(a problem can be a zero in a denominator, for example)
Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.
For the range we first need to find the minimum (or maximum value) of f(x).
Here we know that the vertex is (1, - 3)
If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3
And the arms go upwards infinitely, so there is no upper limit.
Then the range is the set of all numbers such that:
-3 ≤ y
Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3
And with similar thinking than in the above case, we can find that the range is:
R: y ≤ -3.
a = 8: b = ; C = 10.
Answer:
b=6
[tex]a^{2} + b^{2} = c^{2} \\ {8}^{2} + {b}^{2} = {10}^{2} \\ 64 + {b}^{2} = 100 \\ 100 - 64 = {b}^{2} \\ 36 = {b}^{2} \\ \sqrt{36} = \sqrt{ {b}^{2} } \\ 6 = b[/tex]
NEED HELP IN FINDING AREA
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) {17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}
425 + (24 * 13) + (6 * 12) {24 by 13 is 312.}
425 + 312 + (6 * 12) {6 by 12 is 72.}
425 + 312 + 72 {From left to right, add 425, 312, and 72 to get 809}
737 + 72
809 km²
The area of this figure is 809 km².
help me with these 2
9514 1404 393
Answer:
c) x = 6
d) x = 2
Step-by-step explanation:
In general, you want to "undo" what is done to the variable.
When variable terms are on both sides of the equal sign, you want to collect them on one side of the equal sign first. I like to do that by adding the opposite of the variable term with the lowest (most negative) coefficient.
Whatever you do to one side of the equation must also be done to the other side.
__
c) 2(x +3) = 18
x +3 = 9 . . . . . . divide both sides by 2
x = 6 . . . . . . . . . subtract 3 from both sides
__
d) 2x +15 = 27 -4x
6x +15 = 27 . . . . . . . add 4x to both sides
6x = 12 . . . . . . . . . . . subtract 15 from both sides
x = 2 . . . . . . . . . . . . . divide both sides by 2
Find the value of x for ABCD is a parallelogram
Find parallelogram ABCD attached
Answer:
x = 3
Step-by-step explanation:
In parallelograms, the diagonals typically divide each other into 2 equal parts.
This means that from the attached parallelogram, we can say that;
4x - 6 = 2x or 6x - 15 = x
Thus;
4x - 2x = 6
2x = 6
x = 6/2
x = 3
Let's confirm with the second equation;
6x - x = 15
5x = 15
x = 15/5
x = 3
is anyone good with Vertex Angles? i need help
Answer:
t=5
Step-by-step explanation:
Vertical angles are congruent
So we put the value equivalent to each other
110=4t+90
Isolate t
110=4t+90
-90 -90
20=4t
Divide to isolate t
20/4=4t/4
5=t
Which equation is true for x = –6 and x = 2?
2x2 – 16x + 12 = 0
2x2 + 8x – 24 = 0
3x2 – 4x – 12 = 0
3x2 + 12x + 36 = 0
Answer:
x2 + 4x - 12
Step-by-step explanation:
(x + 6) ( x-2)
x2 - 2x + 6x - 12
x2 + 4x -12
A toy car is dropped n a graduated cylinder with 15 mL of water. You look at the level after the car is in the cylinder and see that it is now 32mL The car weighs 279 What is its density
Answer:
The Answer is D= 7.47gLmL
Step-by-step explanation:
My work is in the screenshot below
How many is it all together
Can someone help me? Becks?
Answer:
Perimeter = 72
Step-by-step explanation:
Notice that the adjacent (next to) lengths by each corner are equal in length.
This occurs when the quadrilateral is circumscribed.
Since 4.2 is adjacent to the length which makes up the total side 20.
20 – 4.2 = 15.8.
And 15.8 + 4.2 = 20.
(7 + 9) + (9 + 4.2) + (4.2 + 15.8) + (15.8 + 7) =
(16) + (13.2) + (20) + (22.8) =
(16 + 20) + (13.2 + 22.8) =
36 + 36 =
72
Which unique sequence of rigid motions maps quadrilateral ABCD to quadrilateral EFGH?
6
5
A
IB
x
634
1 2 3 4 5 6
E
G
A
A reflection over the x-axis followed by a translation of (z,y) → (2, y - 4).
B. A reflection over the y-axis followed by a translation of (1,y) → (I, y-6).
C. A translation of (I, y) + (1, y-3) followed by a reflection over the y-axis.
A translation of (€,y) → (3-6, y) followed by a reflection over the x-axis.
Answer:
The unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are;
B. A reflection over the y-axis followed by a translation of (I, y) → (I, y - 6)
('I' is the image of 'x' after reflection)
Step-by-step explanation:
The coordinates of the vertices of the quadrilateral ABCD are;
A(-5, 4), B(-2, 4), C(-2, 1), and D(-5, 2)
The coordinates of the vertices of the quadrilateral EFGH are;
E(5, -2), F(2, -2), G(2, -5), and H(5, -4)
By analysis, we have;
The signs of the x-coordinate of the preimage and the image are opposite, therefore, one of the rigid motions is a reflection across the y-axis
Similarly, the common difference between the y-coordinate values of the image and the preimage are;
-2 - 4 = -6
-2 - 4 = -6
-5 - 1 = -6
-4 - 2 = -6
The common difference between the y-coordinates of the image and the preimage is -6, therefore, the y-values are obtained by a translation of y - 6 units
Therefore, the unique sequence of rigid motions that maps quadrilateral ABCD to EFGH are a reflection over the y-axis followed by a translation of (I, y) → (I, y - 6).
Which of the following functions is NOT a linear function?
A y = 5
B
y == 5x
C y = 5(x - 2)
D y == 5x – 2 + x?
A. y = 5, is the correct answer.
B, C, D are all able to form into the y = mx + b equation, so it's not correct. A is not able to form that equation, therefore, A is correct. Hope that helps :)
Cory is saving for his son's college education. If the savings account earns 2.8% interest
compounded monthly, and he wants to have $25,000 in 18 years, what must the principal
be? Round your answer to the nearest dollar.
Answer:
principal is $15112
Step-by-step explanation:
25000=P(1+ 0.028/12)^(12times18)
The principal amount of the savings is $15111.6
How to determine the principal amount?The given parameters are:
Interest rate, r = 2.8%Amount, A = $25,000Time, t = 18 yearsNumber of times compounded, n = 12 i.e. monthlyAmount is calculated using:
A = P(1 + r/n)^nt
So, we have:
25000 = P(1 + 2.8%/12)^(12 * 18)
Make P the subject
P = 25000/(1 + 2.8%/12)^(12 * 18)
Evaluate the expression
P = 15111.6
Hence, the principal amount is $15111.6
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Brainliest for correct answer
Answer:
261.67 cubic feet
Use the Cone Volume formula V=πr^2 h/3
If y varies directly with n and inversely with m, and y = 3 when n = 6 and m = 10, then what is y when n = 12 and m = 3?
A.45
B.4/5
C.5
D.20
Answer: The answer is (c) 5
Step-by-step explanation: just know
PLEASE HELP- VKLFNJOF:L
Answer:
−4m + 10
Step-by-step explanation:
Combine Like Terms:
= 6m + 10 + −10m
= (6m+−10m) + (10)
= −4m + 10
Hope it helped.
the cooler at a softball game holds 5 quarts of sports drink. how many cups of sports drink does the cooler hold
Answer: 20 cups :DD
Step-by-step explanation:
Anna can buy 3 sweatshirts for a total of $45. How much would it cost if she were to buy 5 sweatshirts at the same price?
Answer:
Step-by-step explanation: 15 + 15 + 15 = 45 to buy 5. Will cost 15+15= 75$ hope I’m right
Select the factor pair of -100 has a sum of 0?
Answer:
(2-12)
Step-by-step explanation:
a. Economic theory describes the relationship between inflation and unemployment as:
O positive.
O negative.
O independent
b. Using real-world data, this theory:
O is never found to be true.
holds only for certain time periods.
holds for all time periods.
c. True or false: Economists unanimously agree with the Phillips curve representation of unemployment and inflation in the
real world.
False
True
Answer:
1: The correction option is B) Negative
Explanation
In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.
The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves, it is assumed that there is a requirement to being in more hands to help with the expansion of the business.
2. The correct option is B) Holds for certain time periods
Explanation
Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.
The following results emerged:
the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed; In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction; There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.So the correct answer is B.
3. The correct answer is True:
Explanation
As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.
Cheers
Solve for x and show work!
Answer: x=8
Step-by-step explanation:
We know that it is a square, so the diagonals divide the four triangles evenly.
A whole circle will have 360°. When it is divides into 4, each angle will be
360/4=90°
The vertex of each triangle will be 90°
And the given vertex equation is 8x+26
8x+26=90
8x+26-26=90-26
8x=64
x=8
Hope this helps!! :)
Please let me know if you have any questions
Find the measures of the numbered angles in each kite. I need the answer as fast as possible!!!!!!
Answer:
1 = 20°
2 = 90°
3 = 70°
4 = 55°
If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.
Step-by-step explanation:
Answer:
1/4 of 92 = 23 Hope this helps
Can u please help me ? I will mark you brainliest
Answer:
I believe it's the 4th one the 2nd on the right under that the one i think is selected looks right!
Answer is 4th one.
Step-by-step explanation:
Hope i helped! Your welcome! Have a great week!
Simplify 3x + 3 + 2
3x+5
5x+3
8×
Answer:
3x+5
Step-by-step explanation:
I need the answer fast
What is the area of a regular octagon with an apothem 16.9 yards long and a side 14 yards
long? Round the answer to the nearest tenth.
O 118.3 yd?
O6309 ydº
O946.4 yd?
O 1.892.8 yd
Answer: the anser is 946.4
Step-by-step explanation:
not sure
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
third option
Step-by-step explanation:
I need help I will mark you
Answer:
the answer is D, 30% of his budget is spent on clothes
Simplify the expression by combining like terms:
5c2 + 13c + 4 – 7c + 9
Answer:
5c^2 +6c +13
Step-by-step explanation:
so we can see than 5c^2
and 13c - 7c are the same = 6c
and 4 +9 = 13
so answer will 5c^2 +6c +13
Answer:
[tex] {5c}^{2} + 6c + 13[/tex]
Step-by-step explanation:
1) Collect like terms.
[tex] {5c}^{2} (13c - 7c) + (4 + 9)[/tex]
2) Simplify.
[tex] {5c}^{2} + 6c + 13[/tex]
Therefor, the answer is 5c² + 6c + 13.