To find the surface area, we must define what is the surface area
Definition of Surface Area: is all the areas of the sides of the 3D shapes added upIn this case, we have a cube
⇒ which means all the sides have equal areas since all the side lengths
are equal
That means the surface area
⇒ is equal to ⇒ 6 * (Area of One Side)
'6' comes from the # of sides on a cube
Surface Area = [tex]6 *\frac{1}{9} *\frac{1}{9} = \frac{6}{9 *9} =\frac{2*3}{3*3*3*3} =[/tex] 2/27
Hoped that helped!
help pleaseee thankssssssss :))))))
Answer:
it is 20
Step-by-step explanation:
because it rounds from the ten value which is to the left of the decimal which means it has to be either 10 or 20 and 8 is greater than 5 so the answer if 20
This question is asking you to round to the nearest ten, not the nearest tenth. To do this, all you have to do is round to the nearest product of ten - in this case, 20.
(Solve For Theta) Please Can I Get Some Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
is Clown Pierce the best Mine.Craft Player
Answer:
I think is B: 40.
PLEASE HELPPP!!!!
1. ) The points (-2, 6), (-1, 3), (0, 2), and (1, 3) are on the graph of my function. What is the equation?
2. ) My parabola intersects the x-axis at points (-2, 0) and (2, 0) and the y-axis at point (0, -4). What is the equation?
3.) The table of values below describe the relationship for my function.
x values: -2, -1, 0 , 1
y values: 4, 1, 0, 1
What is the equation?
4.) To find my equation, shift f(x) = x2 + 5 left 3.
What is the equation?
Answer:
1) [tex]y=x^2+2[/tex]
2) [tex]y=x^2-4[/tex]
3) [tex]y=x^2[/tex]
4) [tex]y=x^2+6x+14[/tex]
Step-by-step explanation:
Question 1
Given points: (-2, 6) (-1, 3) (0, 2) (1, 3)
This is likely to be a quadratic equation with a vertex of (0, 2) since the points (-1, 3) and (1, 3) are symmetrical about x = 0
Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
[tex]\implies y=a(x-0)^2+2[/tex]
[tex]\implies y=ax^2+2[/tex]
To find a, input one of the points into the equation:
[tex](1, 3)\implies a(1)^2+2=3\implies a=1[/tex]
Therefore, the equation of the graph is [tex]y=x^2+2[/tex]
Question 2
If the parabola intersects the x-axis at (-2, 0) and (2, 0) then
[tex]y=a(x+2)(x-2)[/tex]
We are told that the y-intercepts if (0, -4). Input this into the equation to find a:
[tex]\implies a(0+2)(0-2)=-4[/tex]
[tex]\implies -4a=-4[/tex]
[tex]\implies a=1[/tex]
Therefore,
[tex]\implies y=(x+2)(x-2)[/tex]
[tex]\implies y=x^2-4[/tex]
Question 3
Given points: (-2, 4) (-1, 1) (0, 0) (1, 1)
This is likely to be a quadratic equation with a vertex of (0, 0) since the points (-1, 1) and (1, 1) are symmetrical about x = 0
Vertex form of quadratic equation: [tex]y=a(x-h)^2+k[/tex]
(where (h, k) is the vertex)
[tex]\implies y=a(x-0)^2+0[/tex]
[tex]\implies y=ax^2[/tex]
To find a, input one of the points into the equation:
[tex](-2,4)\implies a(-2)^2=4\implies a=1[/tex]
Therefore, the equation of the graph is [tex]y=x^2[/tex]
Question 4
[tex]f(x) = x^2 + 5[/tex]
If we wish to move the function to the left by 3 units, we substitute x for [tex]x+3[/tex]:
[tex]\begin{aligned}\implies f(x+3) & =(x+3)^2+5\\ & = x^2+6x+9+5\\ & = x^2+6x+14\end{aligned}[/tex]
[tex]\implies y=(x+3)^2+5[/tex]
identify the equation of the graph.
2x+3y=6
2x-3y=6
2x-3y=-6
2x+3y=-6
what are the Formulas for Simple Interest?
I don't know what subject this would be for. Please be quick.
Answer:
[tex]\boxed{\sf{I=Prt}}[/tex]
Step-by-step explanation:
Here is the formula for simple interest:
[tex]\Longrightarrow:\sf{I=Prt}[/tex]
I stands for "interest on the original investments".P stands for "principal".R stands for "interest rate". T stands for "interest time".I hope this helps you! Let me know if my answer is wrong or not.
Answer:
PRT/100
Step-by-step explanation:
To calculate the simple interest of a principle, use PRT/100, where:
P = PrincipleR = RateT = TimeLet's solve an example together.
Example (https://brainly.com/question/14162725):
Find the Simple Interest to the nearest cent. $300 at 15% for 14 months.
----------------------------------------------------------------------
Before we find the simple interest, let's convert the time into years.
⇒ 14 months = 1 year 2 months ≈ 1.17 years
To find the simple interest, we will substitute the principle ($300), rate (15%) and time (1.17 years) in PRT/100.
⇒ (P)(R)(T)/100 ⇒ (300)(15)(1.17)/100
⇒ (3)(15)(1.17)
⇒ 45(1.17) = $52.65
Thus, the interest is $52.65.
Mike, Roy, and Leen are eating sweets. • Mike eats 2 less than Roy. • Leen eats three times more than Mike and Roy combined. • Altogether they ate 24 sweets. How many sweets did Roy eat?
Answer:
Roy eat 4 sweets
Step-by-step explanation:
Roy =R
Mike= (R-2)
Leen= 3(R+ R-2)
R + (R-2) + 6R-6 = 24
8R-8=24
8R=32
R=4
Mike 4-2 = 2
Leen 3(4+2) = 18
4+2+18=24
MATH: If Mang Mario have 36 ducklings and 24 chicks. What is the greatest number of each pet that he put inside the basket, if the basket has the same number of pets? Find its Greatest Common Factor (GCF) using Prime Factorization.
Answer:
I don't know because I can't understand English language
Answer:
12.
Step-by-step explanation:
Prime factors:
36 = 2*2*3*3
24 = 2*2*2*3
Picking out the commo factors:
GCF = 2*2*3 = 12.
Zahra plans to draw a triangle with angles measuring 50 degrees, 60 degrees, and 70 degrees. Which is true about Zahra’s plan?
Zahra cannot make a triangle with these angle measures.
Zahra can only draw one unique triangle with these angle measures.
Zahra can make exactly two triangles with these angle measures.
Zahra can make more than one triangle with these angle measures.
Answer:
Zahra cannot make a triangle with these angle measures.
Step-by-step explanation:
which of the following groups of angles can be trisected using only a compass and straightedge
Answer:
C. ALL ANGLES GREATER THAN 180
Please help!!!!! I will give brainliest (As soon as i figure out how) LOL Im new here
Answer:
H= 8 k = 11
Step-by-step explanation:
H= 8 k = 11
sqrt ( x^8 k^11) = x^4 k^5 sqrt k
Paul is moving to Australia. The total weight of his 4 suitcases is shown
on the scale to the right. On a number line, round the total weight to the
nearest 100 kilograms.
(this is 3rd grade math btw)
Answer:
100
Step-by-step explanation:
Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning. running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours. how much energy did marco waste, in terms of hours which a 60-watt light bulb would remain on? a. 7.9 hours b. 61.6 hours c. 56.0 hours d. 264.0 hours
The amount of energy waste, in terms of hours which a 60-watt light bulb would remain on, is 61.6 hours then the correct option is B.
What are ratio and proportion?A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Marco leaves the bathroom faucet running for 22 minutes while he gets ready in the morning.
Running the faucet for 5 minutes wastes the same amount of energy as leaving a 60-watt light bulb on for 14 hours.
Then we have
[tex]\begin{aligned} \dfrac{5\ minutes}{14 \ hours } &=\dfrac{1\ minute }{x \ hours}\\\\x &= 2.8 \ hours \end{aligned}[/tex]
So, the rate is 2.8 hours per minute.
Since macro leaves the bathroom faucet running for 22 minutes. Then the waste of energy is leaving a 60-watt light bulb will be
→22 minutes × 2.8 hours/minute = 61.6 hours.
More about the ratio and the proportion link is given below.
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Of 600 people surveyed, 220 were male and 350 had cell phones. Of those with cell phones, 230 were female. What is the probability that a person surveyed was either male or had a cell phone?
A)100/600 ≈ 0.167
B)480/600 = 0.8
C)340/600 ≈ 0.567
D)450/600 = 0.75
By definition of probability, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Definition of ProbabitityProbability is the greater or lesser possibility that a certain event will occur.
In other words, the probability is the possibility that a phenomenon or an event will happen, given certain circumstances. It is expressed as a percentage.
Union of eventsThe union of events, AUB, is the event formed by all the elements of A and B. That is, the event AUB is verified when one of the two, A or B, or both occurs. AUB is read as "A or B".
The probability of the union of two compatible events is calculated as the sum of their probabilities subtracting the probability of their intersection:
P(A∪B)= P(A) + P(B) -P(A∩B)
The intersection of events, A ∩ B, is the event formed by all the elements that are, at the same time, from A and B. That is, the event A ∩ B is verified when A and B occur simultaneously.
Probability that a person surveyed was either male or had a cell phoneIn first place, let's define the following events:
M: the person surveyed was male.C: the person surveyed had a cell phone.The probability that a person surveyed was either male or had a cell phone is calculated as:
P(M∪C)= P(M) + P(C) -P(M∩C)
In this case, you know:
P(M)= [tex]\frac{220}{600}[/tex]P(C)= [tex]\frac{350}{600}[/tex]P(M∩C)= [tex]\frac{120}{600}[/tex] (Of the 350 people who have cell phones, 230 are female. This means the remaining 120 people with cell phones are male.)Replacing in the definition of probability:
P(M∪C)= [tex]\frac{220}{600}[/tex] + [tex]\frac{350}{600}[/tex] - [tex]\frac{120}{600}[/tex]
Solving:
P(M∪C)= [tex]\frac{220+350 -120}{600}[/tex]
P(M∪C)= [tex]\frac{450}{600}[/tex]= 0.75
Finally, the probability that a person surveyed was either male or had a cell phone is [tex]\frac{450}{600}[/tex]= 0.75
Learn more about probability:
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What's 19 to the power of 63? Brain fart-
Answer:
2.5782963e+29
Step-by-step explanation:
basically 19 times itself 63 times
Answer:
19^63 , 3.6431483821774E+80
Step-by-step explanation:
Expand and simplify (2x−12) ^2
Answer:
[tex]\boxed{4x^{2} - 48x + 144}[/tex]
Step-by-step explanation:
Given expression:
(2x - 12)²To simplify the expression, we will use the formula (a - b)² = a² - 2ab + b².
[Where "a and b" are the first and second term in (a - b)²]
[tex]\rightarrowtail (2x - 12)^{2}[/tex]
In this case, the first term of (2x - 12)² is "2x" and the second term is "12".
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\small\text{First term = a = 2x; Second term = b = 12]}[/tex]
Now, simplify the expression.
[tex]\rightarrowtail (2x)^{2} - 2(2x)(12) + (12)^{2}[/tex]
[tex]\rightarrowtail (2x)(2x) - (4x)(12) + (12)(12)[/tex]
[tex]\rightarrowtail \boxed{4x^{2} - 48x + 144}[/tex]
a number is divisible by 11 if
Answer:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Step-by-step explanation:
Solution : A number is divisible by 11, if the difference of sum of its digits in odd places from the right side and the sum of its digits in even places from the right side is divisible by 11. Since difference is 11 which is divisible by 11, therefore 5918 is divisible by 11.
Can someone please help
Ahhh, the graph! Such an interesting thing. I think I can help you...
The answer is B - (3, -4).
My explanation is this.
In an ordered pair (like the one I just mentioned), the x value and the y value are represented like so: (x, y.)
If you start from the middle of the graph, where the points intersect, if you count three lines over on the horizontal line, that's your x value. 3.
But for the y, since we're counting down on the vertical line, not up, we'll have a -4 instead of a positive.
Therefore the answer (3, -4)
I hope this answers your question.
-Toremi
Please help! Will mark brainliest!!
Answer:
x=2+\sqrt{6}, :x=2-\sqrt{6}
Step-by-step explanation:
those are the 2 awnsers
Step-by-step explanation:
[tex](x - |2| ){}^{2} = 2 + {2}^{2} [/tex]
[tex]x - 2 = \sqrt{6} \\ x = + - \sqrt{6} + 2 \\ x = - \sqrt{6} + 2 \\ x = \sqrt{6} + 2[/tex]
What’s is the right answer choice to the picture.
Q has coordinates
(2,-4)P is 6units left
P(2-6,-4)=(-4,-4)R is 7units up
R(2,-4+7)R(2,3)Option B
Answer:
B) P (-4, 4) and R (2, 3)
Step-by-step explanation:
Q = (2, -4)
If ΔPQR is a right triangle, then
Missing point 1 will be on the x = 2 lineMissing point 2 will be on the y = -4 lineIf PQ is 6 units, then
P = (2-6, -4) = (-4, -4) or
P = (2, -4+6) = (2, 2)
If QR is 7 units, then
R = (2-7, -4) = (-5, -4) or
R = (2, -4+7) = (2, 3)
Therefore, P (-4, 4) and R (2, 3)
what are the numbers for pie I need to know
Answer:
Pi is exactly [tex]3.1415926535897932384626433832795[/tex]
Pi is often used in mathematical expressions, calculating measurements, and finding circumference as well as volume.
A small movie theater sells children's tickets for $4 each and adult tickets for $10 each for an animated
movie. The theater sells a total of $388 in ticket sales.
(a) If c represents the number of children's (b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
adult tickets sold, write an equation that
models the information shown above.
C) Show that after multiplying both sides of the
equation in (a) by 2, c=52 and a=18 is
still a solution to this equation.
(d) How can you interpret multiplying both sides
of the equation by 2 in letter (a) in terms of
ticket prices and total ticket sales?
Answer:
b) Show that c= 52 and a =18 is a solution to
tickets sold and a represents the number of
this equation (not system).
Linear equation that models the given equation is 4c + 10a = 388 where c is the number of children ticket sold and a is the number of adult ticket sold. c = 52 and a = 18 is a solution to the linear equation. Multiplying a constant on both sides of the equation won't affect its solutions.
What is linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
Let number of children ticket sold be c.
Let number of adult ticket sold be a.
Cost of one children ticket = $4.
Cost of one adult ticket = $10.
Total sales = $388
Linear equation that models the above equation: 4c + 10a = 388
Checking if a = 18 and c = 52 is a solution of the equation. It can be done by substituting the values.
LHS: 4c + 10a = 4*52 + 10*18 = 388
RHS: 388
Hence, c = 52 and a = 18 is a solution to the linear equation.
Multiplying 2 to both sides of the equation:
2(4c + 10a) = 2(388)
8c + 20a = 776
Substituting c = 52 and a = 18.
8(52) + 20(18) = 776
c = 52 and a = 18 is still a solution to the linear equation.
Learn more about linear equation here
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pls help me with this i will make you brainiest
1. - 3p^3 + 7p^2 - 3
2. 5a^3 - 5a^2
3. 6 + 7n^3
4. - 6n^3
5. a^2 + 2r^4
6. 9r^3 + 2r^4
7. 1
8. 6x^4 - 6x
9. - 7k^4 - 11k^2 + 6
10. 2n^5 - 2n^4 + 3n + 3
11. 14a^5 + 14a^4 - 10a^3 - 16a
12. - 14n^4 - 7n^2 + 8n + 7
13. 18x^5 + 6x^4 + 12x^3
14. 7r^3 - 3r^2 + 20r
15. 8n - 8n^4
16. - 2x^5 + 10x^4 + 5x + 14
17. 4x^5 - 15x^3 - 11x - 1
18. 5a^5 + 23a^2 - 11a
19. 15v^5 + 4v^3 - 24v^2
20. 2b^4 + 15b^3 - 3
Find x:
A)3
B)2.5
C)4
D)7.5
Answer:
D
Step-by-step explanation:
Because I said so ho3
I need help I really don't get this ?
Answer:
466,207,795.2 cm^3
Step-by-step explanation:
The equation to find both, the volume of the sphere and cube, are given.
The sphere:
V = [tex]\frac{4}{3}[/tex]πr^3
the radius is 7 ft therefore
V = [tex]\frac{4}{3}[/tex]π7^3
The problem says to use 3 for pie therefore
V = [tex]\frac{4}{3}[/tex](3)7^3
7 to the power of three is
V = [tex]\frac{4}{3}[/tex](3)343
[tex]\frac{4}{3}[/tex] and 3 cancel each other out to equal 4
V = 4 × 343
V = 1,372 ------> volume of sphere
______________________________________________
The cube:
V = Legth × width × height
V = 12 × 12 × 12
V = 1,728 ------> volume of cube
_______________________________________________
Total volume:
1,372 + 1,728 = 3,100 ft^3
But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)
3,100 ft^3 = 87,782,080 cm^3
The length, breadth and height of a rectangular room are in the ratio of 3:2:1. If the room contains 3072 cubic meter of air, find the length, breadth and height of the room.
Answer:
length: 24 mbreadth: 16 mheight: 8 mStep-by-step explanation:
Let k represent the multiplier of the ratio units that will give actual dimensions. The the height can be represented by k, the breadth by 2k, and the length by 3k. The volume of the room will be ...
V = LBH
V = (3k)(2k)(k) = 6k³
3072 m³ = 6k³ . . . . . use known volume
512 m³ = k³ . . . . . . . divide by 6
8 m = k . . . . . . . . . take the cube root
The height of the room is 8 m, its breadth is 16 m, and its length is 24 m.
Answer:
See below ↓↓↓
Step-by-step explanation:
Given :
Length, breadth, and height in the ratio 3 : 2 : 1Room contains 3072 cubic meter of air [refers to volume]Solving :
Let the length, breadth, and height be 3x, 2x, and x respectivelyMultiply them and equate to the volume(3x)(2x)(x) = 30726x³ = 3072x³ = 512x = 8Solution :
Length = 3x = 24 mBreadth = 2x = 12 mHeight = x = 8 mSelect the two expressions that equivalent to 4 + w + 12w
A. 4+13w
B. 13w2 + 4
C. 2(2+6w)+w
D. 16 + 2w
W. 2(2+6w2)
Answer:
A and C :)
Have an amazing day!!
Please rate and mark brainliest!!
Stacey bookshelf measures 48 inches high 36 inches long and 24 in wide
Answer:
5,184 cubic inches
Step-by-step explanation:
please help in math!! no links please
Answer:
[tex]\orange{ \rule{100pt}{999999pt}}[/tex]
You are curious about the amount of coffee that the giant fountain cup could
actually hold.
The dimensions of the fountain cup are as follows:
• Height is 8 feet.
• Diameter of the top is 6 feet.
• Diameter of the base is 4 feet.
Use this formula with height, h, radius of the base, base, and radius of the
top, "top, to determine the volume of the cup:
V =
(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).
There are 7. 5 gallons of liquid per cubic foot.
Enter the volume, in gallons, of the fountain cup.
Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.
Volume of the cupUsing this formula
V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]
Where:
height of cup (h)= 8 feet
radius of base of cup (r base)= 4 feet/2=2 feet
radius of top of cup (r top)= 6 feet/2=3 feet
Let plug in the formula
V =πh/3 [(8)²+ (2) (3) + (3) ²]
V =πh/3×8×19
V=152 π/3
Hence:
Volume of the cup in gallons=152 π/3 ×7.5
Volume of the cup in gallons=477.52208334564/3×7.5
Volume of the cup in gallons=1,193.8gallons
Therefore the volume of the cup is: 1,193.8 gallons.
Learn more about volume here:https://brainly.com/question/23648151
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.
Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be
[tex]P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%[/tex]
More about the probability link is given below.
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