Given:
Length of a cube is 2 cm
To Find:
Surface area of the cube
Solution:
A cube consists of 6 faces.
The area of each face = side x side
So, the total surface area of a cube = 6 x
side x side
Let a be the length of the given cube
: Surface area of a cube = 6a square
a = 2 cm (Given)
Surface area of cube = 6 x 22 =(6 x 4) = 24 cm square.
Hence, the surface area of the given
cube is 24cm square.
Hope it helps!
What numerical coefficient of b on the right side of the equation makes the expressions equivalent? -3(-5b + 6) b-2
Answer:
-5
Step-by-step explanation:
coefficient of b is -5
Is 42,260 irrational or rational
Answer:
irrational
Step-by-step explanation:
If you borrow $758 for two years at an interest rate of 6% how much Interest will you pay?
Answer:
$90.96
Step-by-step explanation:
- World population in 2014 was estimated to have been 89614160,express it into billions
Answer:
Im a little confused what this question is asking, but the number in billions is simply 89.61416 if the original number is in thousands! Hope that helps and if that was not what you were looking for, let me know. :)
Step-by-step explanation:
Answer:
It is estimated that the population of the world reached one billion for the first time in 1804. It was another 123 years before it reached two billion in 1927, but it took only 33 years to rise by another billion people, reaching three billion in 1960.
Ava, Cara, Emma, Lily, and Mia are to be seated together in a row. If Emma and Lily must sit next to each other, how many different ways can the five girls be seated
Answer:
48 ways
Step-by-step explanation:
Given
[tex]Girls = \{Ava, Cara, Emma, Lily, Mia\}[/tex]
[tex]Together= \{Emma, Lily\}[/tex]
Required
Determine the number of sitting arrangements
The number of girls are 5, of which 2 must be seated together.
First, Emma and Lily can be arranged in 2! ways
Next, we consider Emma and Lily as one, so there are (5 - 1) girls left to be arranged.
This can be done in (5 - 1)! ways
Total number of ways is then calculated as:
[tex]Ways = 2! * (5 - 1)![/tex]
[tex]Ways = 2! * 4![/tex]
[tex]Ways = 2 * 1 * 4 * 3 *2 * 1[/tex]
[tex]Ways = 48[/tex]
Hence, there are 48 ways
The possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.
Given to us;
Number of girls = {Ava, Cara, Emma, Lily, and Mia} = 5 girls,
Also, Emma and Lily must sit next to each other, therefore, considering them as a single person,
The choices we are left with = {Ava, Cara, Mia, (Emma, Lily)} = 4 person;
We know to calculate the number of ways people can sit is given by n! (n factorial), where n is the number of person. Thus,
different ways this 4 person can sit = n!
= 4!
= 4 x 3 x 2 x 1
= 24 ways
Further, as given in the question Emma and Lilly must sit together but they can change sits within themselves, So,
different ways Emma and Lilly can sit = n!
= 2!
= 2 x 1
= 2 ways
Therefore, the total number of ways all 5 girls can sit together in which Emma and Lilly will be always seated together,
Total ways all can sit together = 24 x 2
= 48 ways
Hence, the possible ways in which Ava, Cara, Emma, Lily, and Mia are to be seated together in a row, while Emma and Lily sit next to each other are 48 ways.
To know more visit:
https://brainly.com/question/13003667
What percentage of the food cost is the tip?
Triangular prism surface area
Answer:
what
Step-by-step explanation:
An official for a regional baseball league examines attendance data for teams in the league. For each team in the league, the number of losses and the average game attendance is shown in the scatterplot. The value of r for the scatterplot is –0.847.
Which of these data combinations weakens the correlation?
2 losses, 11.9 thousand fans
2 losses, 15.2 thousand fans
5 losses, 10.3 thousand fans
9 losses, 7.7 thousand fans
Answer:
It’s B brotha
Step-by-step explanation:
When a certain radioactive element decays, the amount, in milligrams, that remains after t years can be approximated by the function A above. Approximately how many years would it take for an initial amount of 800 milligrams of this element to decay to 400 milligrams?
a. 173
b. 347
c. 693
d. 1,386
e. 2,772
Answer: C.693
Step-by-step explanation:
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
In every right triangle there is exactly one ____.
Answer:
point
Step-by-step explanation:
Answer:
90 degree angle
Step-by-step explanation:
explanation pleasee!
Step-by-step explanation:
Triangles ABC and DEF are congruent.
The letter B is the 2nd letter in 'ABC'.
Likewise, the letter E is the 2nd letter in 'DEF'.
Therefore Angle B = Angle E.
please help ASAP! Thank you!
pls help asap no trolls!!
solve the equation: the booster club of the baseball team bought pizza to sell at a concession stand. the school donated three pies to the sale. each pie was then cut into 8 pieces and sold . there were a total of 64 pieces to sell. how many pies did the booster club purchase
Answer:
Booster club purchased 5 pies.
Step-by-step explanation:
Let the number of pies purchased by booster club be represented by n. The school also donated 3 pies to sell.
So that,
Total number of pies = n + 3
Given that there was 64 pieces of pies to sell after cutting each pie into 8 pieces.
Thus,
8( n + 3) = 64
8n + 24 = 64
8n = 64 - 24
8n = 40
Divide both sides by 8 to have,
n = 5
The number of pies purchased by booster club is 5.
PLEASE I NEED HELP WITH MATH HW WITH EXPLANATION!!!
Question: Find the value of the varible
===================================================
Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
------------------------------------
Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
Water is flowing into a large spherical tank at a constant rate. Let V(t) be the volume of water in the tank and H(t) be the height of the water level at time t.
a) Give a physical interpretation of dV/dt and dH/dt.
b) Is dV/dt positive, negative, or zero when the tank is one-fourth full? Justify your answer.
c) Is dH/dt positive, negative, or zero when the tank is one-fourth full? Justify your answer.
Answer:
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) dV/dt is positive
C) dH/dt is positive
Step-by-step explanation:
We are given that;
V(t) is the volume of water in the tank and H(t) is the height of the water level at time t. Thus;
A) dV/dt = the rate of change of the given volume of water in the tank with respect to the time, t.
dH/dt = the rate of change of the height of the water in the tank with respect to the time
B) When the tank is one-fourth full, dV/dt is positive because the volume water in the tank is increasing with time.
C) when the tank is one-fourth full, dH/dt is positive because the height has increased from zero level to 0.25 times the height of the tank. Thus the height is increasing with time.
The table shows data collected from 14 people. Shoe Size, x 8.5 9 9 9.5 10 10 10.5 10.5 11 11 11 12 12 12.5 Height (inches), y 66 68.5 67.5 70 70 72 71.5 70 71 71.5 73 73.5 74 74 Determine the correlation coefficient for the data. Round to the nearest hundredth.
Answer:
0.9266
Step-by-step explanation:
Given the data:
Shoe size x :
8.5
9
9
9.5
10
10
10.5
10.5
11
11
11
12
12
12.5
Height y :
66
68.5
67.5
70
70
72
71.5
70
71
71.5
73
73.5
74
74
The correlation Coefficient obtained from the online Coefficient of regression calculator is 0.9266 which depicts a strong positive relationship between shoe size and height
The correlation coefficient for the data is 0.93 and this can be determined by using the formula of the correlation coefficient.
Given :
The table shows data collected from 14 people.
A statistical measure of the strength of the relative movement between two variables is known as the correlation coefficient.
The formula of the correlation coefficient is given by:
[tex]\rm r = \dfrac{\sum (x_i-\bar{x})(y_i-\bar{y})}{\sqrt{\sum(x_i-\bar{x})^2\sum(y_i-\bar{y})^2} }[/tex]
where r is the correlation coefficient, [tex]\bar{x}[/tex] is the mean of the values of the x variable, [tex]x_i[/tex] values of the x-variable in the sample space, [tex]y_i[/tex] values of the y-variable in a sample space, and [tex]\bar{y}[/tex] is the mean of the values of the y-variable.
Now, from the attached table substitute the values of the known terms in the above formula.
[tex]\rm r = \dfrac{35.4464286}{\sqrt{(19.23214289)\times (76.08928571)} }[/tex]
Simplify the above expression.
[tex]\rm r = \dfrac{35.4464286}{38.25388889} }[/tex]
r = 0.93
So, the correlation coefficient for the data is 0.93.
For more information, refer to the link given below:
https://brainly.com/question/17716064
Kenny is ordering uniforms for both the girls' and boys' tennis clubs. He is ordering shirts for 43 players and two coaches at a total cost of $658.35. Additionally, he is ordering visors for each player at a total cost of $368.51. How much with each player pay for the shirt and visor?
Answer: 23.20 dollars
Cost for 1 shirt = $14.63
Cost for 1 visor = $8.57
Total = 14.63+8.57 = 23.20
==============================================================
Explanation:
s = cost of 1 shirt
v = cost of 1 visor
costs are in dollars
There are 43 players and 2 coaches that get a shirt. There are 43+2 = 45 people total that get a shirt. The amount of money spent on all the shirts is 45s because we multiply the number of people (45) with the cost per shirt (which is s). Set this equal to 658.35 and solve for s
45s = 658.35
s = 658.35/45
s = 14.63
Each shirt costs $14.63, and this is the amount each player should pay.
-------------------
Kenny is also ordering 43 visors. The total cost here is 368.51 dollars. This means the equation we need to solve is 43v = 368.51
Divide both sides by 43 to isolate v
43v = 368.51
v = 368.51/43
v = 8.57
Each visor costs $8.57, and this is the amount each player should pay.
-------------------
Add up the two costs we found and we get 14.63+8.57 = 23.20, which is the total cost each player must pay for both a shirt and a visor.
The coordinates of the vertices of a quadrilateral are J (2,1) W(2,-1) U(-2, 2). Quadrilateral JWUL is translated 5 units to the right and 3 units up to create quadrilateral J’W’U’L’
Which coordinates of the vertices of the quadrilateral J’W’U’L’
Answer:
J(7,4)
W(7,2)
U(3,1)
L(3,5)
Rate me also give advice
No i am not growing out my hair it looks worse
My skin we clear in next few months currently taking Accutane
Contacts are not a option
.
Answer:
You look very nice!
Step-by-step explanation:
it matters what you look like to yourself not how you look to others!
Carl reads 3 books every week. Rose reads 6 books a month. Lynn reads 85 books a year. Who reads the most books in a year?
Answer:
Carl
Step-by-step explanation:
There are 52 weeks in a year, and Carl reads 3 books a week, so he reads 3*52= 156 books a year. There are 12 months in a year, and Rose reads 6 books a month, so Rose reads 6*12=72 books a year. Carl reads the most books
On holidays three friends decided to buy a Christmas tree for $96. They made a cash contribution of 3: 5: 8. The two friends who invested less decided to return the third friend's money so that their cash contributions became the same. What is the ratio of the money returned by the first person to the money returned by the second person?
Answer:
7 : 1Step-by-step explanation:
Total money = $96Contribution ratio = 3 : 5 : 8Contribution by each:
3x + 5x + 8x = 9616x = 96x = 63x → $18, 5x → $30, 8x → $48Equal contribution is:
$96/3= $32Returned by first and second person:
$32 - $18 = $14$32 - $30 = $2Ratio of returned amount:
14 : 2 = 7 : 16/7 × 1/2 = ? Question 29 options: 37 127 27 314
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Answer:
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Step-by-step explanation:
Given
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
Required
Determine the slope
The slope is calculated as:
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Pick any two corresponding values of x and y
[tex](x_1,y_1) = (0,6)[/tex]
[tex](x_1,y_1) = (8,14)[/tex]
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]
[tex]Slope = \frac{8}{8}[/tex]
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
solve for x please refer to image
Answer:
x = 40
Step-by-step explanation:
Sum of interior angle of an n-polygon = (n - 2)*180
The polygon given is pentagon with 5 sides.
Sum of the polygon = (5 - 2)*180 = 540°
Therefore, sum of all its interior angles would be:
5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°
Solve for x
5x + 150 + 3x - 30 + 70 + 2x - 50 = 540
Collect like terms
5x + 3x + 2x + 150 - 30 + 70 - 59 = 540
10x + 140 = 540
10x = 540 - 140 (Subtraction property of equality)
10x = 400
x = 400/10 (division property of equality)
x = 40
Kyra opened a nail salon. For each manicure, Kyra charges $12. This week, Kyra has a goal of making a total of $200. Write an inequality that shows the minimum number of manicures that Kyra will need to give in order to meet her goal.
What is the answer? I need help quick!
Answer:
The answer is point C
Step-by-step explanation:
to make it easier to solve, think of it this way, point c and a are on the same "line",and point A is on the line under pi over 6. We know that pi over 12 is less than pi over 6, so that could potentially be the line that both points are on if that makes sense. We can also see that the real axis has the value of pi, and that point C is the value less than that. Also, point C is in the direction of where the negative "x values" would be
Answer:
B. is the right answer
Step-by-step explanation:
[tex]x = - 6 \\ y = \frac{\pi}{12} \\ ( - 6,\frac{\pi}{12} )[/tex]
is 50 prime or composite? Explain
Answer:
composite
Step-by-step explanation:
Answer:
50 is composite
Step-by-step explanation:
it is even:)
Which expression is not equal to 28?
Answer: 1,107 divided by 41
Step-by-step explanation:
Which expression is NOT equal to 28? A. 1,288 ÷ 46 B. 1,820 ÷ 65 C. 1,456 ÷ 52 D. 1,107 ÷ 41
D is correct.