Hey I need help on this question. Could I have a simple explaination as I find it difficult to understand things
Answers
Answer:
9
Step-by-step explanation:
The surface, in this case, describes the number of squares that are painted. On the left hand side, we have a cube, so we know we're going to have 6 faces. And each face on the cube has 9 little squares, they can be counted on the diagram. So, the total number of squares that are painted on the left cube = [tex]9 * 6 = 54[/tex]
The star means multiplication.
We are told in the question that it takes 9 litres of paint to cover the surface of the left hand cube, meaning it takes 9 litres of paint to cover 54 squares.
This can be written in the ratio = [tex]9:54[/tex]
If we divide both sides of the ratio by 9, we can figure out the amount of squares that 1 litre of paint covers, [tex]1:6[/tex].
The ratio tells us that 1 litre of paint covers 6 squares.
Let's look at the shape on the right. It is still a cube, however, some segments have been removed. Some faces still remain the same as in the shape on the left, such as the bottom face, the back face and the face to the left. Those faces may not be so apparent on the diagram, however, they exist. So we have to count them.
The number of small squares on these faces = [tex]9 * 3=27[/tex]
If you look on the inside of the cube, which can be seen on the diagram, we can see three faces, each having four squares. So, the total number of squares here = [tex]3*4=12[/tex]
Also, we have some squares on the top, and if you count these, there are 5.
This also applies for the front and the right hand side if you count, so we add 10 squares to the total as there are another two lots of five.
So, the total number of squares on the right cube = [tex]27 + 12 + 5 + 5 + 5 = 54[/tex]
Let's bring back the ratio of litres of paint to the number of squares covered: [tex]1:6[/tex]
In the ratio, there are 6 squares per litre. We know that 6 × 9 = 54 (our total). So, we multiply left hand side of the ratio by 9 as well, bringing the total amount of paint required to 9 litres.
I hope this helps.
The surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].
How to estimate the surface area of cuboid?
If the left cube takes 9 liters of paint to cover the surface. Then, also right cube takes 9 liters of paint to cover the surface.
Cuboid dimension [tex]$\frac{10 \mathrm{~cm}}{(l)} \times \frac{10 \mathrm{~cm}}{(b)} \times\frac{5 \mathrm{~cm}}{(h)}$[/tex]
Surface area = 2(lb + lh + bh)
= 2((10 [tex]\times[/tex] 10)+(10 [tex]\times[/tex] 5)+(10 [tex]\times[/tex] 5))
= 2(100+50+50)
= [tex]400 \mathrm{~cm}^{2}[/tex]
Therefore, surface area of cuboid = [tex]$400 \mathrm{~cm}^{2}$[/tex].
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Related Questions
Can someone help me with question 3? I like to see the working and answer on paper, that would be more helpful, I’m in a hurry
Answers
The steps to draw all the three angles have been explained.
What is an Angle ?An angle is made by two rays that have one common end point known as vertex.
To make an angle congruent to the one given , the angle has to be copied
For making both ∠XYZ and∠ UVW , following steps will be followed.
Draw two rays separately and name it YZ and VW .Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.The angle formed will be copy of ∠ABC and∠ DEFNow to draw RST = ABC + DEF
Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.The angle obtained will be RST.
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If the price of an apple is Rs. 40, find the number of apples that can be brought for Rs. 200.
Answers
Answer:
5
Step-by-step explanation:
Divide 200 by 40 to get 5.
Answer:
ig 5 Apples can be Brought with Rs. 200
Step-by-step explanation:
Rs. 40 = 1 apple
Rs. 200 = ? Apple
therefore 5 apples can be brought...
Hope it Helps!!!
what are the true statements
Answers
The proportional relationship between two variables, y and z, is represented by y = 11/2z. What is the constant of proportionality from z to y?
Answers
Answer:
Step-by-step explanation:
Comment
The constant you want is just the reciprocal of the constant you have been given. You can show it this way
y = 11/2 z Multiply both sides by 2
2y = 11z Divide both sides by 11
Answer
2/11 y = z
light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take for all of them to flash
Answers
Answer:
210 seconds
Step-by-step explanation:
LCM of 5,6 and 7
what is 11x2 – 4x = 1?
Answers
Answer:
x=5 1/4 or 5.25
Step-by-step explanation:
11x2-4x=1
22-4x=1
22-1-4x=
21-4x=
21=4x
x=5 1/4 or 5.25
Answer:
Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.
Step-by-step explanation:
It is a quadratic equation.
11x² - 4x - 1 = 0
Find the determinant of the quadratic equation.
D = b² - 4ac
D = 16 + 44
D = 60
One of the values of x will be
x = (-b+√D)/2a
x = (4+2√15)/22
x = 0.534
The second value will be
x = (-b-√D)/2a
x = (4-2√15)/22
x = -0.17
The two values of x, from the quadratic formula are 0.534 and -0.17.
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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.
A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?
Answers
A mean is an arithmetic average of a set of observations.
The correct option is (A).
What is Mean?
A mean is an arithmetic average of a set of observations.
Mean = (Sum of observations)/Number of observations
As, the median is the middle value.
Thus, the median will not be changed.
As, the mean is the arithmetic average.
So, the $100 gift will increase the mean value of the prizes.
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Answer:
A
Step-by-step explanation:
There were 35 children and 10 adults in a picnic. What is the ratio of children to the total number of people in the picnic?
Answers
Answer:
7/9 ( or 7:9)
Step-by-step explanation:
Children = 35
Total people = 35 + 10 = 45
ratio Children / total people = 35/45 = 7/9
A projector was sold after allowing 10% discount on the marked price and levying 13% VAT .If the selling price of the projector after discount is Rs 5,850 , less than its selling price with VAT, find the marked price of the projector.
Answers
The marked price of the projector is $50,000.
What is the marked price?The price of the projector after the discount can be represented with:
(100 - 10%)x - 90%x = 0.90x
Where x is the marked price
The price of the projector after the VAT is : (1.13) x 0.90x = 1.02x
Difference in price = 1.02x - 0.90x = 5850
0.12x = 5850
x = 5850 / 0.12
x = $50,000
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Question 11 of 17
What are the coordinates of the point that is of the way from A to B?
Answers
Step-by-step explanation:
b l think so
3 - what = 11
please help with this one
Answers
can anybody help me find what 11x-21=
Answers
the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour?
Answers
The average speed is 68 miles per hour
How to determine the average speed?The given parameters are:
Distance = 476 miles
Time = 7 hours
The average speed is calculated as:
Speed = Distance/Time
So, we have:
Speed = 476 miles/7 hours
Evaluate
Speed = 68 miles per hour
Hence, the average speed is 68 miles per hour
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Can someone help with this pls
Answers
i took the test and it was correct
Answer:
This is C
Step-by-step explanation:
The slope is 4, meaning the integers are 4, 8, 12, 16, 20 etc. But then the last point is seen to be 40, meaning the answer is C because it is from 0-40 with a slope of 4.
How many factors does 16 have
Answers
Answer:
5
Step-by-step explanation:
1,2,4,8,16 total 5 factors
The graph of which function has a minimum located at (4, –3)?
f(x) = one-halfx2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = one-halfx2 – 4x + 5
f(x) = 2x2 – 16x + 35
Answers
The parabola with the minimum at (4, -3) is the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
Which of the given parabolas has a minimum at (4, -3)?
Remember that for a parabola of the form:
[tex]y = a*x^2 + b*x + c[/tex]
If a > 0, the minimum is at the x-value of the vertex:
[tex]x = \frac{-b}{2a}[/tex]
If a < 0, there is no minimum (so we discard option 2).
Taking the third option:
[tex]y = 0.5*x^2 - 4x + 5[/tex]
The x-value of the vertex is:
[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]
As expected.
To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.
[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]
So the minimum is at (4, -3), as expected, so that is the correct option.
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55 mi / h = ____ ft / s
Answers
Answer:
80.6ft/s
Step-by-step explanation:
[tex]\frac{55mi}{h} * \frac{5280ft}{1 mi}* \frac{1h}{3600s} = 80.6ft/s[/tex]
A biologist watches and records the number of hippos that visit a particular
watering hole over a 30-day period. What method is the scientist using to
collect data?
OA. Observational study
OB. Survey
C. Control
D. Experiment
Answers
The correct answer is option A which is Observational study.
What is an observational study?This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).
The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).
Therefore the correct answer is option A which is Observational study.
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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.
The price f(x), in dollars, of product A after x years is represented by the function below:
f(x) = 0.69(1.03)x
Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)
Part B: The table below shows the price f(t), in dollars, of product B after t years:
t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04
Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)
Answers
Answer:
A) 3%
B) Product A
Step-by-step explanation:
Exponential Function
General form of an exponential function: [tex]y=ab^x[/tex]
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Part A
Product A
Assuming the function for Product A is exponential:
[tex]f(x) = 0.69(1.03)^x[/tex]
The base (b) is 1.03. As b > 1 then it is an increasing function.
To calculate the percentage increase/decrease, subtract 1 from the base:
⇒ 1.03 - 1 = 0.03 = 3%
Therefore, product A is increasing by 3% each year.
Part B
[tex]\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]
To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:
[tex]\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%[/tex]
Check using different two consecutive values of f(t):
[tex]\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%[/tex]
Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.
Although the question has not asked, we can use the given information to easily create an exponential function for Product B.
Given:
a = 10,100b = 1.01n = t - 1 (as the initial value is for t = 1 not t = 0)[tex]\implies f(t) = 10100(1.01)^{t-1}[/tex]
To check this, substitute the values of t for 1 through 4 into the found function:
[tex]\implies f(1) = 10100(1.01)^{1-1}=10100[/tex]
[tex]\implies f(2) = 10100(1.01)^{2-1}=10201[/tex]
[tex]\implies f(3) = 10100(1.01)^{3-1}=10303.01[/tex]
[tex]\implies f(4) = 10100(1.01)^{4-1}=10406.04[/tex]
As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.
If geometry symbol represented as small triangle with three sides. abc a geometry symbol represented as small triangle with three sides. dec, what is the value of x? a. x = 8 b. x = 5 c. x = 4 d. x = 1 e. x = 2
Answers
Answer:
D. X=1
Step-by-step explanation:
It's clear if you work through it just use substitution and you'll get the same answer yourself
The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution
Answers
The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.
How to find the mean and the standard deviation of a discrete distribution?The mean is given by the sum of the multiplications of each outcome by it's probability.The standard deviation is given by the square root of the sum of the squares of each outcome subtracted by the mean, multiplied by it's probability.Researching this problem on the internet, the distribution is given by:
P(X = 1) = 0.56.P(X = 2) = 0.23.P(X = 3) = 0.11.P(X = 4) = 0.05.P(X = 5) = 0.03.P(X = 6) = 0.02.Hence the mean is given by:
E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.
The standard deviation is:
[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].
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Avani has a loyalty card good for a discount at her local hardware store. The item she wants to buy is priced at $17, before discount and tax. After the discount, and before tax, the price is $15.64. Find the percent discount.
Answers
The percentage discount on the item will be equal to 8%.
What is the percentage?
The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
Price of the item before tax and discount = $17After discount and before tax price is = $15.64The percentage of the discount will be calculated as:-
Percentage discount = ( 17 - 16.64 ) / ( 17 )
Percentage discount= ( 1.36 ) / ( 17 )
Percentage discount = 0.08 x 100 = 8%
Therefore the percentage discount on the item will be equal to 8%.
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rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10
Answers
Analyze the diagram below and complete the instructions that follow.
Solve for y.
11
21
24
42
Answers
The value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
What is a perpendicular line?Lines that intersect at a right angle are named perpendicular lines. Lines that are always the same distance apart from each other known as parallel lines.
We have a perpendicular line shown in the picture.
The measure of the angle (4x - 6) is equal to 90 degree.
4x - 6 = 90
4x = 96
x = 24
Similarly, the measure of the angle (x + 6y) is equal to 90 degree:
x + 6y = 90
Plug x = 24
24 + 6y = 90
y = 11
Thus, the value of y is 11 if the measure of the angle (x + 6y) is 90 degree and x = 24 option first is correct.
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6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.
Answers
The value of AOB and BOC based in the information given in the circle will be 53°.
How to calculate the values in the circle?From the information given, the central angle is the angle that the vertex is at the center of the circle.
It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.
The value of AOC will now be:
= AOB + BOC
= 53° + 53°
= 106°
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9(x - 11) = 9 what is x
Answers
Answer:
x=12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
12-1 is 11 and than 9 times 1 is 9
The maximum number of turning points of a 9th degree polynomial is?
Answers
Answer:
8
Step-by-step explanation:
this was actually in my book and it came in today's test as well but I got 14/20 and failed lol
which expression is the equivalent to the given expression
(3m-4)³(3m³)
Answers
Answer:
81m^6 - 323 m^5 + 432m^4 - 192m^3
Step-by-step explanation:
Comment
If you are given choices, you should list them please. Otherwise we cannot be certain our answers are taken far enough.
The general formula for expanding a binomial raised to the third power is
(a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3
Solution
To modify the general formula to suit this problem, let
a = 3m
b = - 4
When that is done, the general equation becomes
(3m)^3 - 3* (3m)^2 * 4 + 3 * 3m * 4^2 - 4^3
(3m - 4)^3 = 27m^3 - 108 m^2 + 144m - 64
Multiply everything in the 4-nomial by 3m^3
(27m^3 - 108 m^2 + 144m - 64)3m^3
81m^6 - 323 m^5 + 432m^4 - 192m^3 which is your answer. I see why you didn't include it, with other (incorrect) possibilities.
Please help fast!!!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
5 x 2/3 =
Answers
Step-by-Step Explanation:
= 5 * 2/3
= 5/1 * 2/3
= (5 * 2)/(1 * 3)
=> 10/3
=> 3 1/3
The following lines are parallel. 6x + 3y = 7 and y = -2x + 3
True
False
Answers
Answer:
True
Step-by-step explanation:
• Parallel lines have equal slopes
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
6x + 3y = 7 ( subtract 6x from both sides )
3y = - 6x + 7 ( divide terms by 3 )
y = - 2x + [tex]\frac{7}{2}[/tex] → in slope- intercept form
with slope m = - 2
y = - 2x + 3 ← is in slope- intercept form
with slope m = - 2
since both lines have equal slopes then they are parallel lines
