Which point would NOT be a solution to the system of linear inequalities shown below?
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
Determine the shaded area
The shaded area is 169.56 inch² for the given set of semicircles with radius 6 inch and 12 inch.
What is area?The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a shape or planar lamina. The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area. Draw a square on a piece of paper with a pencil. It is a two-dimensional figure. The area of the shape on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.
Here,
area1=1/2*3.14*r²
=0.5*3.14*12²
area2=1/2*3.14*r²
=0.5*3.14*6²
area=area1-area2
=0.5*3.14*12²-0.5*3.14*6²
=169.56 inch²
The shaded area for the given set of semicircles with radius 6 inch and 12 inch is 169.56 inch².
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Twice a number (z) added to 21 is equal to 9 times the number added to 7. What is the number?
z=-4
z = -2
z= 2
z=4
In a class, 5/8 of the pupils are boys. If there are 20 boys in the class, how many pupils are there in the class?
Answer:
5/8 times 4 = 20/ 35
35 pupils!
Janet deducted $5 on Monday and another $6 dollars on Tuesday from her savings account. Write an expression that represents the change in her account balance after the deductions. How much money did Janet deduct?
Answer:
30
Step-by-step explanation:
5x6=30 so the change was that she deducted money in her account balance.
247 1372 as a number
Answer:
Do you mean in words?
Step-by-step explanation:
then it is
Two million,four hundred and seventy one thousand,three hundred and seventy two.
What is the degree of the monomial?
Only write the numerical value as your answer.
8x^3
Responder:
1
Explicación paso a paso:
cuando una variable no tiene exponente, el grado siempre es uno. Ej: 8x es lo mismo que 8x elevado a 1
prove that there exist only five regular polyhedron
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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Ryan randomly draws equal sized cards labeled with letters A, B, C, D and F from a hat and records the results in the table. Find the theoretical and experimental probabilities of randomly drawing a card that is labeled with the letter C. Frequency A 36, B 50, C 111, D 59, F 44 total 300
Answer:
We have 5 cards, and if we assume that the probability of selecting a given card at random is the same for all the cards, then the probability of randomly drawing the card C out of the 5 cards is equal to:
P = 1/5 = 0.20
Now, for the experimental probability, we can see that out of 300 draws, 111 times he drew the card C.
The experimental probability is:
Pe = 111/300 = 0.37
You can see that the experimental probability is bigger than the theoretical one, this may happen for two things.
Not enough draws: as the number of draws, we should expect to see that the experimental probability gets closer and closer to the theoretical one.
The cards have some difference: There is a chance that card C has a difference with the other cards, and this difference makes that when Ryan draws a card has a bigger probability of drawing this one.
94 POINTS!!!!!! EASY STATS QUESTION. SHOW WORK
A jar contains 4 marbles - 3 Red & 1 Blue. Two marbles are drawn with replacement after each draw. What is the probability that the same color marble is drawn twice?
Answer: hii :)
5/8Step-by-step explanation:
The probability of a red marble being drawn in both turns = 9/16, and the probability of a white marble being drawn in both turns = 1/16. So, the total probability = (9/16) + (1/16) = 10/16 = 5/8.
Hopefully this helps you
- Matthew
Answer:
\(\sf \dfrac58\)
Step-by-step explanation:
Given:
3 red marbles1 blue marblesTotal marbles = 4\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)
\(\implies \sf \textsf{P(red marble)}=\dfrac{3}{4}\)
\(\implies \sf \textsf{P(blue marble)}=\dfrac{1}{4}\)
As the marbles are replaced:
\(\implies \sf \textsf{P(red marble) and P(red marble)}=\dfrac{3}{4} \times \dfrac{3}{4}=\dfrac{9}{16}\)
\(\implies \sf \textsf{P(blue marble) and P(blue marble)}=\dfrac{1}{4} \times \dfrac{1}{4}=\dfrac{1}{16}\)
Therefore:
\(\implies \sf \textsf{P(red and red) or P(blue and blue)}=\dfrac{9}{16}+\dfrac{1}{16}=\dfrac{10}{16}=\dfrac58\)
If ab = 3600 and b/a= 4/9, then determine the value of a
Answer:
90
Step-by-step explanation:
a times by b is equal to 3600 and b divided by a is equal to 4/9 which means that a must be a mulitiple of 4 and b must be a multiple of 9. An easy multiple of 4 and a easy mulitple of 9 that times together eqaul 3600 is 90 and 40. So therefore a= 90
Two numbers have ratio of 12:5 their difference is 49 find the two numbers
Answer: 84, 35
Step-by-step explanation:
12*7=84
5*7=35
84-35=49
The two numbers are 35 and 84
Let the two numbers be x and y
If the ratio are in 12: 5, hence:
x/y = 12/5
5x = 12y
x = 12y/5
If their difference is 49, then;
x - y = 49 .................. 2
12y/5 - y = 49
7y/5 = 39
7y = 49 * 5
y = 7 * 5
y = 35
Recall that x - y = 49
x = 49 + y
x = 49 + 35
x = 84
Hence the two numbers are 35 and 84
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A: Half of a 16 inch pizza or pizza B: A whole 10 inch pizza to himself. Which pizza would ensure him the largest amount?
Answer:
Choice B, 10 inch pizza to himself
Step-by-step explanation:
1. Half of 16 inch pizza= 8 inch
2. 10 inch pizza to himself= well, 10 inch
10>8
Answer:
Pizza B
Step-by-step explanation:
Half of a 16 inch pizza would be 8-inch. Since a 10-inch pizza is more than an 8-inch pizza, you would have to go with Pizza B.
Hope this helps!
-kiniwih426
A solid sphere is cut into 10 equal wedges. The volume of each wedge is Solve the formula for r. 15 O Ar= V2 O B. r = 151 O c. r= 15V (27) O D. r= 15V - 27
Answer:
A. r = ∛ 15V / 2π
Step-by-step explanation:
Volume of a sphere = 4/3 π r³
And to be divided into 10 equal wedges parts.
Volume of each wedge = V = 2/15 π r³
find r
V = 2 π r³ / 15
15 V = 2 π r³
15V / 2π = r³
r = ∛ 15V / 2π
The correct option will be option A i.e., r = \(\sqrt[3]{\frac{15}{2\pi } }\)
It is given that a solid sphere is cut into 10 equal wedges , with each wedge having volume V = \(\frac{2}{15} \pi r^{3}\)
We have to solve it to get the value of radius r.
What is the formula for volume of sphere ?
The volume of sphere is given by V = \(\frac{4}{3} \pi r^{3}\) where , r is the radius of the sphere.
As per the question ;
Volume of sphere = \(\frac{4}{3} \pi r^{3}\)
To be divided into 10 equal wedges ;
Volume of each wedge of sphere will be ;
V = \(\frac{2}{15} \pi r^{3}\)
15 V = 2\(\pi r^{3}\)
or
r³ = \(\frac{15V}{2\pi }\)
or
r = \(\sqrt[3]{\frac{15}{2\pi } }\)
Thus , the correct option will be option A i.e., r = \(\sqrt[3]{\frac{15}{2\pi } }\)
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What is its equation
slope-intercept form ?
what is the probability that the red shows a six or the green die shows a six?
Answer:
11/36
Step-by-step explanation:
which inequality is represented by this graph?
Answer:
B
Step-by-step explanation:
The line is dotted, so this allows us to eliminate A and D.
In addition, the line is shaded below, so this means the graph is for a 'less than' inequality.
So, the answer is B
Plz help me well mark brainliest if correct!!...
Answer:C
Step-by-step explanation:
Extinct species tend to be fully gone or not seen in the wild for quite some time endangered would be a better answer for A
Hope this helps
Stock Market Worksheet 1
You need to show your work in order to receive full credit.
Business Organization
1. James invests $10,000 in a partnership with 3 other people. One of those people also invested
$10,000 and the other two invested $90,000 each. What percent of the business does James
own?
James owns on owns only 5 percent of the business capital.
How to calculate percentage?We should know that percentage deals with number of ratios as a fraction of 100
James = $10,000
One partner = $10,000
Other two partners = ($90,000+90,000)=$180,000
Total capital invested = $)10000+10000+90000+90000)
Total investment = $200,000
James proportion= \(\frac{10,000}{200,000} *\frac{100}{1}\)
Simplifying this to have James percentage of investment as 5 percent
James =5%
In conclusion James has only 5% of the business investment
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there are 2 squares and 10 triangles. What is the simplest ratio of squares to triangles
Answer:
1/5
Step-by-step explanation:
2 squares to 10 traingles is 2/10
But if you divide both top and bottom by 2, it simplifies to 1/5
What is the answer to x + 4x +6x?
Answer:
11x
Step-by-step explanation:
Through addition you can combine like-terms meaning all terms with the same variable. Because of this all of these terms can be combined without too much hassle! :)
Answer:
11x
cause 4x+6x=10x
10+1x=11x!
A Euler circuit has ___ ODD vertices
Answer:
A Euler circuit has TWO ODD vertices
Step-by-step explanation:
A 4-sided polygon is classified as a quadrilateral.
True
False
Answer:
TRUEEEEEEEEEEEEEEEEEE
Step-by-step explanation:
The position of a particle moving along a coordinate line is s=√24+6t , with s in meters and t in seconds. Find the particle's velocity and acceleration at t=2 sec.
The correct value of particle's acceleration at t = 2 seconds is -1/12 m/s^2.
To find the particle's velocity, we need to take the derivative of the position function with respect to time (t).
Given the position function:
s = √24 + 6t
To find the velocity, we differentiate the position function with respect to time:
v = ds/dt
Applying the power rule and chain rule for differentiation, we get:
v = (1/2) * (24 + 6t)^(-1/2) * 6
Simplifying further:
v = 3 / √(24 + 6t)
To find the velocity at t = 2 seconds, we substitute t = 2 into the velocity equation:
v = 3 / √(24 + 6(2))
v = 3 / √(24 + 12)
v = 3 / √36
v = 3 / 6
v = 1/2 m/s
So, the particle's velocity at t = 2 seconds is 1/2 m/s.
Now, let's find the particle's acceleration. Acceleration is the derivative of velocity with respect to time.
a = dv/dt
To find the acceleration, we differentiate the velocity function with respect to time:
a = d(3 / √(24 + 6t)) / dt
Applying the quotient rule and chain rule, we get:
a = -3 * (24 + 6t)^(-3/2) * 6
Simplifying further:
a = -18 / (24 + 6t)^(3/2)
To find the acceleration at t = 2 seconds, we substitute t = 2 into the acceleration equation:
a = -18 / (24 + 6(2))^(3/2)
a = -18 / (24 + 12)^(3/2)
a = -18 / 36^(3/2)
a = -18 / 36^(3/2)
a = -18 / 216
a = -1/12 m/s^2
So, the particle's acceleration at t = 2 seconds is -1/12 m/s^2.
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Which faction is equivalent to 5/20 a4/16 b4/12 c4/19 d4/15
Answer:
A
Step-by-step explanation:
To find this you have to divide the numerators by denominators to find what number that equals so for a: 5/20 & 4/16 5/20=0.25 4/16=0.25
So the answer is a because the numbers are equivalent! Hope this helps! :)
PLS HELP!
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?
Answer:
5.81%
Step-by-step explanation:
length of a rectangle with a width of 10 and an area of 150 meters
We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.
In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:
150 = l × 10
Dividing both sides by 10, we get:
15 = l
Therefore, the length of the rectangle is 15 meters.
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A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?
Answer:
3 8 person tables. 11 5 person tables.
Step-by-step explanation:
Consider the line 3x+2y=-1.
Find the equation of the line that is perpendicular to this line and passes through the point (5, 3).
Find the equation of the line that is parallel to this line and passes through the point (5, 3).
Note that the ALEKS graphing calculator may be helpful in checking your answer.
Equation of perpendicular line:
Equation of parallel line:
0
Six less than the product of 8 and a number equals 2
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.