The following figure shows a cube. Which expression represents the surface area of the cube?
Answers
Answer:
6 ⋅ 16
This is the sum of the areas of the 6 square faces.
The surface area of the cube in the figure given is 96 squared units
What is surface area of a cube?The surface area of a cube is calculated by finding the total area of all six faces. Since all sides of a cube are equal in length, you can use the formula:
Surface area of a cube = 6 × (side length)²
In other words, you square the length of one side of the cube and then multiply it by 6 to get the total surface area.
Let's say the side length of the cube is "s," then the formula becomes:
Surface area of a cube = 6 × s²
In the question given, we can calculate the surface area of this cube as;
Surface area = 6 * s²
s = 4
Surface area = 6 * 4²
Surface area = 6 * 16 = 96 unit²
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Related Questions
Select the equivalent expression.
(25-23)=?
Choose 1 answer:
28.29
a15 26
a8.26
a15 2²
Urgent please help
Answers
Railway Cabooses just paid its annual dividend of $5.10 per share. The company has been reducing the dividends by 13 percent each year. How much are you willing to pay today to purchase stock in this company if your required rate of return is 15 percent?
Answers
Answer:
15.85
Explanation:
Po = D1 / (k-g)
Po = purchase price,D1 = Dividend in paid in next year,k = required rate of return,g= growth rate
Po = (5.10 (1-0.13)) / (0.15-(-0.13))
Po= 15.85
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answers
Answer:
ask MisterBrainly for help
Find the solutions to the equation below.
Check all that apply.
x^2 - 25 = 0
A. x = 1
B. x = 5
C. x = -1
D. x = -5
E. x = 3
F. x = -3
Answers
Answer:
B and D
Step-by-step explanation:
x² - 25 = 0
Add 25 to both sides:
⇒ x² -25 + 25 = 0 + 25
⇒ x² = 25
Square root both sides:
⇒ √x² = √25
⇒ x = ±5
Therefore:
x = 5, x = -5
So B and D are the solutions
You invest $5000, add 50 each month, at 7.9% for 11 years.
Answers
Answer:
???
Step-by-step explanation:
Please help. I need to get to 70%
Answers
Scale factor is 5
So
J'=5(1,-2)=(5,-10)K'=5(2,-1)=(10,-5)M'=5(0,-1)=(0,-5)L'=5(1,2)=(5,10)Answer:
Points of kite JKLM:
J = (1, -2)
K = (2, -1)
L = (1, 2)
M = (0, -1)
To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.
So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite. Extend the lines so that they are each 5 times the original lengths. These are the dilated points
Points of kite dilated by sf 5 (shown in blue on the attached diagram):
J' = (5, -10)
K' = (10, -5)
L' = (5, 10)
M' = (0, -5)
help help help help can u show some work its due tomorrow
Answers
Answer:
Process
Step-by-step explanation:
I won't give the answers but i will explain the process... You can combine variables if they are similar. Example if you have 3g+2-2g-5 you can combine the numbers with g - you would have a positive 3g and a nagative 2g, 3-2 is 1g or g.. Then you can combine the positive 2 and negative 5. I hope this helps!
(3x10^-4)(5x10^8) in scientific notation
Answers
Answer:
[tex]15 \times {10}^{4} [/tex]
Step-by-step explanation:
[tex](3 \times {10}^{ - 4} )(5 \times {10}^{8} ) \\ \\ = 3 \times 5 \times {10}^{8 - 4} \\ \\ = 15 \times {10}^{4} [/tex]
10.If Zoe paints the outside faces of
her shed and tho roof. what is the
total surface area that she paints?
CA
A. 130 p2
B. 155 p2
C. 180 02
D. 205 pp
Answers
Step-by-step explanation:
Area of one side of the shed
5*4=20
she painted 4 sides so 20*4 =80
Triangle that is part of the pyramid as the roof of the shed has a side of 5. Using the Pythagorean theorem,
[tex]{5}^{2} - {2.5}^{2} =18.75[/tex]
we need to find the square root of 18.75 to find the height of the triangle which is
[tex] \sqrt{18.75} = 4.330127019[/tex]
that is the height
(base x height) /2 is the formula for a right triangle. there are 2 of these right triangles per side of the roof. so we need to multiply the numbers by 8
[tex]\frac{2.5 \times 4.330127019}{2} \times 8[/tex]
this number gives us 43.30127019
we can finally add that number to 80 to get the total surface area Zoe painted which is 123.3012702
Find the square root of 2937.44 by the arithmetic method
Answers
The square root of 2937.44 by the arithmetic method is 54.20.
What is the square root of the number?
The square root of a number can be described as the value derived when a number is divided into two equal halves. The square root of 64 is 8. This is because 8 multiplied by 8 is equal to 64. The sign used to represent square root is √.
√2937.44 = 54.20
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12.
If $4204 is invested at 4% per year simple interest for 7 years, at what simple interest rate r would it need to be
invested for 5 years to earn the same amount of interest? Express r as a percentage correct to 2 decimal places.
Answers
The answer to this question is in the picture which is 0.56% to 2dp
Answer:
5.60%
Step-by-step explanation:
We can use the formula for simple interest to solve this problem. The formula is:
[tex]\boxed{\bold{SI =\frac{ P * T* R}{100}}}[/tex]
Where:
SI is the simple interest earnedP is the principal amount investedR is the interest rateT is the time period in yearsIf $4204 is invested at 4% per year simple interest for 7 years, the interest earned will be:
[tex]SI = \frac{4204 *4* 7}{100} = 1177.12[/tex]
In order to earn the same amount of interest of $1177.12, the investment of $4204 must be invested for 5 years at a simple interest rate of:
[tex]1177.12=\frac{4204*5*r}{100}[/tex]
Doing Criss cross multiplication
[tex]r=\frac{1177.12*100}{4204*5}[/tex]
r=5.60 %
To two decimal places, the interest rate r is 5.60 %.
for a standard distribution, which of the following variables always equals 0?
Answers
If the probability of receiving a message on the internet today is 8/9, what is the probability of not receiving a message?
[Give the answer as a fraction in simplest form.]
Answers
Answer:
The probability is 1/9
Step-by-step explanation:
1 - 8/9 = 1/9
MATH. Someone please answer this for me :) 50 points
Image attached
Answers
Answer:
A=0.51
B=0.73
C=0.41
D=A student taking algebra II is dependent on whether they prefer it and a student being in 10th grade is dependent on their age
Step-by-step explanation:
These answers are all in fractions btw
A)5/255+20/245+65/225+90/725=0.514267 which rounds to 0.51
B)100+65=165
165/225=0.73
C)100/245=0.41
Hope it helps !
A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Answers
A, B and C working together will finish same piece of work in 10 days
A can do a piece of work in 20 days. That is A is doing the work at a rate of 1 / 20. Therefore
B = 1 / 30
C = 1 / 60
A, B and C working togehter their rate will be added together =
A + B + C = 1 / 20 + 1 / 30 + 1 / 60 = 1 / 10
so they can work together to finish same piece of work in 10 days
how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3
Answers
Answer:
6
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
4 1/2=9/2, 2 2/3= 8/3
9/2x8/3=72/6,
12. However, you still have to divide by two, which gets you 6
Answer:
6
Step-by-step explanation:
The formula for the area of a triangle is 1/2(bh).
4 1/2=9/2, 2 2/3= 8/3
9/2x8/3=72/6,
Please help with this guys please I’d appreciate it
Answers
Answer:
annually: $19,037.37quarterly: $19,602.30monthly: $19,736.29continuously: $19,804.52Step-by-step explanation:
The amount of an investment P compounded n times per year at annual rate r for t years is ...
A = P(1 +r/n)^(nt)
This formula is conveniently evaluated by a calculator or spreadsheet. In the attached, we made a version of it that only depends on the value of n, the number of compoundings per year. That is used to compute the numbers shown in the attachment, and copied to the Answer block above.
__
Continuously compounded interest results in an account balance computed using the formula ...
A = Pe^(rt) . . . . where the variables have the same definitions as above.
For P=7000, r=0.08, t=13 years, the continuously-compounded account will have a balance of ...
A = 7000e^(0.08·13) = 7000e^1.04 ≈ 19,804.52 . . . . dollars
Part 1 , i really need help if anyone have the items for these please help
Answers
That’s should help you with that!!
What is the volume of the bird feeder? Round to the nearest tenth if nessacaryWhat is the volume of the bird feeder
Answers
Historians have commonly believed that paint used before the year 1500 did not contain copper. However, lab techniques have shown that copper is present in the paint of both the Mona Lisa painted by Leonardo da Vinci (1452-1519), a widely-renowned and timeless piece that is one of the most valuable pieces in the Louvre today, and in that of another painting known as the Sine Nomine, also from the same time period, whose painter is unknown—but not found in the paint of any other Renaissance painting analyzed. This is strong evidence that the Sine Nomine was painted by da Vinci, as well as evidence that the presence of copper in the paint of a recently resurfaced map by Fra Mauro, ostensibly from the year 1450, cannot be used as an argument against the map's authenticity.
The reasoning in the passage is vulnerable to criticism on the grounds that:
A) both the Sine Nomine and the Fra Mauro Map are objects that can be appreciated on their own merits whether or not the precise date of their creation or the identity of the person who made them is known
B) it is unreasonable to suppose that determination of the date and location of an art piece’s painting or drawing can be made solely on the basis of the presence or absence of a single element in the paint used in the document
C) the results of the analysis are interpreted as indicating that the use of copper as an ingredient in fifteenth-century paint both was, and was not, extremely restricted
D) the discovery of copper in the paint of the Fra Mauro Map must have occurred before copper was discovered in the paint of the Sine Nomine and Mona Lisa
E)if the technology that makes it possible to detect copper in paint has only recently become available, it is unlikely that cartographers or artists in the fifteenth century would know whether their paint contained copper or not
Answers
The reasoning in this text is vulnerable to criticism because works such as Sine Nomine and the map can be appreciated on their own (option A).
What is the reasoning behind this text?The author of this text explains copper has been found in the Mona Lisa painting by Da Vinci that dates back to 1450. This evidence is used to conclude a similar painting known as the Sine Nomine belongs to the same painting and that a similar map belongs to the same period.
What is the problem with this reasoning?The reasoning fails at considering each artwork is unique and can be appreciated on its own without jumping to conclusions about the period and author of them.
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Help picture below problem 15
Answers
Answer:
x = 25°
Step-by-step explanation:
→ Remember key fact
Angles in triangle add up to 180°
→ Set up equation
34 + 121 + x = 180
→ Simplify
155 + x = 180
→ Minus 155 from both sides
x = 25°
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answers
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
Find the interquartile range. 44, 75, 62, 41, 59, 60, 79, 44, 49
Answers
Answer:
24.5 is our interquartile range
Step-by-step explanation:
First, you need to order the data set from least to greatest:
41, 44, 44, 49, 59, 60, 62, 75, 79
We have a total of 9 numbers in the data set.
**Note: Our minimum is 41 and our maximum is 79, this is important**
Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.
Our median is the middle number which is 59.
**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**
Our data set without the median:
Data set 1: 41, 44, 44, 49
Data set 2: 60, 62, 75, 79
Now find the median of data sets 1 and 2.
Data set 1: 44+44/2 -> 88/2 =44
Data set 2: 62+75/2 -> 137/2 = 68.5
Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.
68.5 - 44 = 24.5
24.5 is our interquartile range
PLEASE ANSWER ASAP WILL GIVE brainliest TO THE FIRST CORRECT ANSWER
You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.
Answers
Answer:
I would reccomend the first option the path costs $6 per foot
Write an equation of the line that passes through (3, 1) and (0,10) .
y=
Answers
Answer:
Step-by-step explanation:
hello :
y = -3x+10
Please help!
Olivia's mom decided to wallpaper the living room. At the store, the wallpaper was selling for $11.68 for a roll with 100 linear feet. What is the price per linear foot of the wallpaper?
Answers
So, 10/5 = 2
The things will cost $2 each.
Same thing.
If 100 rolls cost $11.68, then
11.68 divided by 100 will give us the price per roll.
11.68/100 = 0.1168
Each roll will cost 0.1168 dollars.
2.
one day Jada and her cousin line up on the end of a swimming pier on the edge of a lake . At the same time , they start swimming and biking in opposite directions how far apart will they be after 15 mins
Answers
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
What is speed?Speed is the ratio of distance to time.
For Jada:
Speed = 2 miles / 12 minutes = 0.167 miles per minute
For Jada cousin:
Speed = 1 mile / 24 min = 0.0417 miles per minute.
Hence, in 15 minutes:
Jada distance = 15 min * 0.167 miles per minute = 2.5 miles
Jada cousin distance = 15 min * 0.167 miles per minute = 0.625 miles
In 15 minutes, Jada would have covered about 2.5 miles, while the cousin would have covered 0.625 miles.
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A company paid $203.00 for an item. The original price was $291.10, but this was marked down 40%. If the operating expenses are 36% of the cost, find the operating loss and the absolute loss.
1. What is the operating loss?
2. What is the absolute loss?
Answers
Answer,:
Answer and Explanation: 1
1.
Calculation for operating loss is shown below:
Break-even point in dollars = Cost + Operating expenses
Break-even point in dollars = $208.40 + (36% * $208.40)
Break-even point in dollars = $208.40 + $ 75.024
Break-even point in dollars = $283.424
Reduced price = Original price - (Original price * Mark down)
Reduced price = $292.60 - ($292.60 * 40%)
Reduced price = $292.60 - $117.04
Reduced price = $175.56
Operating loss = Break-even point in dollars - Reduced price
Operating loss = $283.424 - $175.56
Operating loss = $107.864
2.
Calculation of absolute loss is shown below:
Absolute loss = Cost - Reduced price
Absolute loss = $208.40 - $175.56
Absolute loss = $32.84
brain less plss
THIS ANSWER IS CORRECT
Find the slope and y−intercept of the line in the graph. Express the answers as simplified fractions, if necessary.
The slope is m =
The y−intercept is b =
Answers
The slope is m = 3.5; and the y-intercept is b = -6
Determining slope and y-intercept of a LineFrom the question, we are to determine the slope and the y-intercept of the line.
The slope of a line can be determine by picking any two points on the line.
Then applying the formula,
[tex]m =\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
Where m is the slope
Picking the points (2,1) and (0,-6).
∴[tex]x_{1} = 2[/tex]
[tex]x_{2} = 0[/tex]
[tex]y_{1}=1[/tex]
[tex]y_{2}=-6[/tex]
Then, the slope of the line in the graph is
[tex]m = \frac{-6-1}{0-2}[/tex]
[tex]m =\frac{-7}{-2}[/tex]
m = 3.5
For the y-intercept
The y-intercept is the point where the graph intersects the y-axis
From the graph,
The point where the line intersects the y-axis is -6.
∴ y-intercept, b = -6
Hence, the slope is m = 3.5; and the y-intercept is b = -6
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A scale drawing of an American flag is 6 inches tall. The actual flag is 3 feet tall. What is the scale of the drawing?