If we paint a 4 x 4 x 4 cube blue on every side then we will get 8 small cubes having 3 blue faces, 16 cubes having 2 blue faces, 24 cubes with 1 blue face, 6 faces would be painted in a cube of any size and 8 cubes have not been painted at all.
Elaborate the answer that is obtained above.Corner cubes are the only ones with 3 faces, whereas a cube has 8 corners. There are therefore 8 cubes with 3 blue faces.
Each of the 16 cubes has 2 blue faces. These are the cubes found between the sides' corners.
The 4 center cubes have only 1 side painted. Because each side has six sides and four center cubes, 6 x 4 = 24. As a result, 24 cubes have 1 blue face.
Because a cube has 6 faces, every size cube will have at least 6 colored faces.
On the inside of the larger cube, there are exactly 8 cubes. As a result, 8 cubes have been left unpainted.
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s(t)= t^2 + 4t+ 2 when t=6
Answer:
s(6)=62
Step-by-step explanation:
s(t)=t^2+4t+2
s(6)=6^2+4(6)+2
s(6)=36+4(6)+2
s(6)=36+24+2
s(6)=60+2
s(6)=62
Hope this helps.
Vector N = 3(i) +3(j) + 10 (k) and vector L is given by L = 2(j) - 13 (k). Find the y component of Z = N+L?
The y component of Z = N+L
Z=3(i)+5(j)-3(k)
Given:
N = 3(i) +3(j) + 10 (k)
L = 2(j) - 13 (k)
Z=3(i)+5(j)-3(k)
Vectors are represented by an alphabet with an arrow over it (or) by an alphabet written in bold. Vector addition can be used to combine two vectors, a and b, and the resultant vector is written as a + b. Before we can learn about the properties of vector addition, we must first understand the conditions that must be met when adding vectors. The following are the terms:
Vectors can only be added if they are of the same type. For example, acceleration should only be added with acceleration and not mass.
Vectors and scalars cannot be added together.
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If 20% of some value is 400 , then what is the missing value?
Answer:
80
Step-by-step explanation:
Because 400 times 20% is 80 so 80 would be the missing value.
Answer: 2000
Step-by-step explanation:
20% of x = 400
20% = 0.2
[tex]0.2x=400[/tex]
x=2000
W
65
X
a-9
Find WX. Figure is not drawn to scale.
Answer:
37
Step-by-step explanation:
WX = a
XY = a-9
WY = WX + XY = 65
So we substitute values:
WY = a + a -9 OR 2a - 9
65 = 2a -9
Then we collect like terms:
2a = 65 + 9
2a = 74 (divide both sides by 2 to get a)
a = 37
Find the perimeter of the entire rectangle shown at right (that is, the length of the outside boundary of the figure). Notice that the areas of two of the parts have been labeled inside the rectangle. Also find the total area. Remember to show all work leading to your solution.
The perimeter and area of the complete rectangle is 52 units and 168 square units.
As per the question statement, We are given a big rectangle in which the area of two small rectangle is given as 40 square units and 30 square units.
We are supposed to find the perimeter and area of the complete rectangle.
Let us first consider the small rectangle with area [tex]A_{1}[/tex] 40 sq units as [tex]R_{1}[/tex] with length [tex]L_{1}[/tex] = 5 units.
Let width of [tex]R_{1}[/tex] be [tex]W_{1}[/tex]
Therefore [tex]L_{1} W_{1} = A_{1}[/tex]
therefore, [tex]5*W_{1} = 40\\W_{1}=8 units[/tex]
Let us now consider the small rectangle with area [tex]A_{2}[/tex] 30 sq units as [tex]R_{2}[/tex]
with length [tex]L_{2}[/tex] = 6 units.
Let width of [tex]R_{2}[/tex] be [tex]W_{2}[/tex]
Therefore [tex]L_{2} W_{2} = A_{2}[/tex]
[tex]6*W_{2} =30\\W_{2}=5 units[/tex]
Now the length of breadth of the big rectangle be L and W respectively.
Therefore L = [tex]5+7=12 units[/tex]
and W = [tex]6+8=14 units[/tex]
Therefore perimeter of main rectangle = [tex]2(L+W)=2(14+12)=52 units[/tex]
And area of main rectangle = [tex]L*W=14*12=168 square units[/tex]
Perimeter: Sum of length of all sides of any 2D shape or figure.Area: The space occupied by the shape or figure in square units.To learn more, click on the link given below:
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(Adding and Subtracting Linear Expressions MC) Write the following expression in simplest form. (4 + 15.6a) − (7 + 3.7a) 19.3a + (−3) 19.3a + (−11) 11.9a + (−3) 1.19a + (−11)
The expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
How to write the expression in simplest form?The expression is given as
(4 + 15.6a) − (7 + 3.7a)
Remove the bracket
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 + 15.6a − 7 - 3.7a
Collect the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = 4 − 7 + 15.6a - 3.7a
Evaluate the like terms
So, we have
(4 + 15.6a) − (7 + 3.7a) = − 3 + 11.9a
Hence, the expression (4 + 15.6a) − (7 + 3.7a) in simplest form is − 3 + 11.9a
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What is the effect on the graph of f(x) = 1/x when it is transformed to
g(x) = 1/x -10?
x
A. The graph of f(x) is shifted 10 units to the left.
B. The graph of f(x) is shifted 10 units to the right.
C. The graph of f(x) is shifted 10 units up.
D. The graph of f(x) is shifted 10 units down.
The correct option is D. The graph of f(x) is shifted 10 units down.
What is defined as the graph?In mathematics, a graph is described as a pictorial depiction or diagram that organizes data or values.
The graph's points frequently represent the relationship among two or more things.
Pictograph refers to the visual representation of information. Each image represents a specific number of items.A bar graph is a graphic illustration of numerical data made up of rectangles (as well as bars) of varying width and height.A circle graph is another name for a pie chart. It demonstrates how well a whole is divided into various parts.For the given question;
The function is given as; f(x) = 1/x
Where x is the domain which is shown on x axis.
and f(x) is the range which is shown on y axis.
Thus, for the relation of g(x) = 1/x -10.
Whatever the value of the input for x, the output is shown on y axis.
Now, as the value expression is decreased by 10, thus the output value for y will reduced by 10.
Therefore, the graph of f(x) will shift downward by 10 units.
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A farmer fills a field with solar panels. The area of the field is 32,374.9 square meters. a. About how many solar panels of the size shown can fit in the field? Explain.
Answer:
Step-by-step explanation:
F(x)= mx+b m>0 b<0 graph
The graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.
We are given the function:
y = m x + b
We are also given that:
m > 0 and b < 0
Now lets assume m = 2 and b = -3
So, we get the equation as:
y = 2 x - 3
Now, we have to graph the equation.
We get some values of x and y as:
x 0 1 2
y - 3 - 1 1
Therefore, the graph of the equation y = m x + b where m = 2 and b = - 3 has been obtained.
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A figure is fully contained in Quadrant Il.
Looking at the coordinate plane below, which letter represents this quadrant?
From the division of quadrants in the xy-plane, it is found that letter K represents the second quadrant.
What are the signals of the coordinates in each quadrant?There are four quadrants of points (x,y), and their signals are given as follows:
Quadrant 1: x is positive(left of y-axis) and y is positive(above the x-axis).Quadrant 2: x is negative(right of y-axis) and y is positive(above the x-axis).Quadrant 3: x is negative(right of y-axis) and y is negative(below the x-axis).Quadrant 4: x is positive(left of y-axis) and y is negative(below the x-axis).In this problem, we want Quadrant 2, in which:
x is negative, that is, to the left of the y-axis.y is positive, that is, above the x-axis.Hence:
Letter K represents the second quadrant.
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The scatter plot shows prize money, in thousands of dollars, for a contest over eight consecutive years.
Predict the amount of prize money in year 10 of the contest.
$11,790
$20,340
$35,200
$45,900
Building a regression line from the scatter plot, it is found that the predicted prize money in year 10 of the contest is of: $11,790.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the entire set of points (x,y) given by the scatter plot in the calculator.
From the scatter plot, the points are approximated as follows:
(1, 9.5), (2,9), (3,7), (4,10), (5,11), (6, 10), (7, 10.5).
With the help of a calculator, the line of best fit to predict the amount of prize money in year x of the contest is given by:
P(x) = 0.32143x + 8.28571
To find the predicted amount in year 10, we have to find the numeric value when x = 10, hence:
P(10) = 0.32143(10) + 8.28571 = $11,500.
The closest option is $11,790, which is different from $11,500 because the coordinates of the points are approximated from the scatter plot and not exact.
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If k(x) = 5x-6, which expression is equivalent to (k+ k)(4)?
O 5(4+4)-6
O 5(5(4)-6)-6
O 54-6+54-6
O 5(4)-6+5(4) - 6
Solve the system of equations.
2x+ 27 + 32 = 5
6x + 3y + 62 = 6
3x + 41 + 42 = 9
Answer:
x=-1
y=2
z=1
Step-by-step explanation:
After substitution we add common terms and make y and z the subject
y= 3-z
z= - 3+ 2y
We substitue the y
z = - 3+2(3-z)
z= 1
and now we subtitute the z to find y
y= 3-z
3-1 = 2
y=2
Now we substitue y and z to find x
x= - 2 - 3/2 + 5/2
x= - 1
At a hamburger stand, a burger is $6, a drink is $3, and there is
currently a special offer for a $1 discount on every order.
Write an equation that represents the total cost C of b burgers
and d drinks.
6b+3d-1=C Sorry if I'm wrong, I forgot of Algebra 1
PLEASE HELP !!!!!! 50 POINTS !!!!!!!
Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formulas.
Part A: Determine cos 330° using the cosine sum identity. Be sure to include all necessary work. (5 points)
Part B: Determine sin 330° using the sine difference identity. Be sure to include all necessary work. (5 points)
How can you measure the way one variable changes in relation to another?
Solution:
The word correlation is used in everyday life to denote some form of association. We might say that we have noticed a correlation between foggy days and attacks of wheeziness. However, in statistical terms, we use correlation to denote the association between two quantitative variables. We also assume that the association is linear, that one variable increases or decreases a fixed amount for a unit increase or decrease in the other. The other technique that is often used in these circumstances is regression, which involves estimating the best straight line to summarise the association.
Correlation coefficient
The degree of association is measured by a correlation coefficient, denoted by r. It is sometimes called Pearson’s correlation coefficient after its originator and is a measure of linear association. If a curved line is needed to express the relationship, other and more complicated measures of the correlation must be used.
The correlation coefficient is measured on a scale that varies from + 1 through 0 to – 1. Complete correlation between two variables is expressed by either + 1 or -1. When one variable increases as the other increases the correlation is positive; when one decreases as the other increases it is negative. The complete absence of correlation is represented by 0.
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Please help me it’s due today
Answer:
Step-by-step explanation:
1.
scale factor=12.5/10=1.25
x/16=1.25
x=1.25×16=20
2.
correct.
50 points because why not
Answer: 50 points
Step-by-step explanation:
Mi
esson 7: Scale Drawingsons grilsɔ2:0 nozz9J
ool Down: Length of a Bus and Width of a Lakevod look
1. A scale drawing of a school bus has a scale of 1/2 inch to 5 feet. If the length of r
the school bus is 4 1/2inches on the scale drawing, what is the actual length of the bus
The length of the school bus is 45 feet.
Given, School bus has a scale of 1/2 inch to 5 feet.
Length of the school bus is 4 1/2 inches on the scale drawing.
Actual length of the bus = ?
Given scale = 1/2 inch = 5 feet
⇒ 1 inch = 1/2 inch ₊ 1/2 inch
⇒ 1 inch = 5 feet ₊ 5 feet
⇒ 1 inch = 10 feet
Length of school bus = 4 1/2 inches = 4.5 inches.
Actual length:
length of school bus = length in inches × length in feet
4.5 inches = (4.5 × 10) feet
4.5 inches = 45 feet.
Hence we get the actual length of the school bus as 45 feet.
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Karen worked her 40 regular hours last week, plus 6 hours at the time-and-a-half rate. Her gross pay was $650. What was her hourly rate?
Use function notation to write the equation of the line.
please help
Therefore the equation of the line in function-form is f(x)=-2x-1
An equation of a line on the cartesian plane is given by y=mx+c. Here m denotes the slope of the line and c denotes the y-intercept.
Slope of a line is defined as the inclination of the line along the positive x- axis . Slope is calculated by the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}.[/tex] where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.
y-intercept is defined as the point where the line passes through the y-axis.
From the graph we can see that the line passes through (0,-1)and (-1,1)
therefore slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\or, m=\frac{1-(-1)}{-1-0}\\or, m=-2[/tex]
Now we know that the equation of a line passing through a point [tex](x_1,y_1)[/tex] and with slope m is given by
[tex]y-y_1=m(x-x_1)\\[/tex]
Substituting the values in the equation we get
y-(-1)=-2(x-0)
or, y=-1-2x
Therefore the equation of the line in function-form is f(x)=-2x-1 .Hence the second option is correct.
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Determine if each conjecture is true or false. If false,
provide a counterexample.
The sum of any two consecutive prime numbers is also prime.
The product of two even numbersis always divisible by 4.
Answer:
3498
Step-by-step explanation:
Pls solve 8=11-v pls and thank u
Answer:
Step-by-step explanation:
8 = 11 - v
8 - 11 = 11 - v - 11 Subtract 11 from both sides of the equation.
-3 = -v
3 = v Multiply both sides by -1
v = 3
Check:
8 = 11 - 3
8 = 8
Luis and Jasmine are making scale drawings of the front of their school for an art contest. Luis uses the scale 3 in. to 10 ft. Jasmine uses the scale 5 in. to 20 ft. The tree in front of the school in Luis's drawing is 7.5 inches tall. How tall is the tree in Jasmine's drawing?
The height of the tree in Jasmine's scale drawing is 6.25 inches.
What is the height of the he tree in Jasmine's scale drawing?A scale drawing is a smaller version of a larger image or drawing. The scale drawing is usually reduced at a constant dimension
Scale of the drawing = original dimensions / dimensions of the scale drawing
The first step is to determine the original height of the tree:
Height of the tree from Luis' scale drawing = (7.5 x 10) / 3 = 25 ft
Height of the tree in Jasmine's scale drawing = (5 x 25) / 20 = 6.25 inches
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What is 6.9 × 10 to the power of 7 written in standard form?
Answer:
69,000,000
Step-by-step explanation:
UHhhHh 6.9 * 10^7 written in standard form is 69,000,000.
Answer:
6.9 × 10 × 10 × 10 × 10 × 10 × 10 × 10
_____________________________________________________
What is standard form?
We can think of the standard form as the most common way of representing a mathematical element, through numerical form.
Six point nine times 10 to the power of 7 is not in standard form, because the number is described using words.
Exponents are not included under standard form.
________________________________________________________
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so yk those balls that come on screen in a cartoon like that desert ball thing? that's what brainly is giving rn. no one answering my questions anymore :")
The numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
Order of magnitudeFrom the given question, we are to order the given numbers from the greatest to least.
The given numbers are
-49
-1/5
0.5
4
-1.2
15/5
First, we will convert the fractions to decimal or whole number
-1/5 = -0.2
15/5 = 3
Now, we will order the numbers from the greatest to the least
4 > 3 > 0.5 > -0.2 > -1.2 > -49
That is,
4 > 15/5 > 0.5 > -1/5 > -1.2 > -49
Hence, the numbers ordered from the greatest to the least is
4
15/5
0.5
-1/5
-1.2
-49
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All work and answers are provided in the attached screenshot! :)
Have a great day! :)
what is 12+12-3-3-3-3-3-3-3-3-3-3+1000000
Answer: 999994
Step-by-step explanation:
12+12=24
-3-3-3-3-3-3-3-3-3-3= -30
24-30= -6
-6 + 1000000=999994
Will give brainliest and 50 points read the picture what is the missing number
The appropriate value in the box will be 4. This will be illustrated as 4(5x + 6)
How to calculate the value?It should be noted that an expression is used to show the relationship between the variables involved.
In this case, the appropriate value in the box will be 4. This will be illustrated as:
= 4(5x + 6)
= 20x + 24
In conclusion, the value is 4.
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2 Reflect rectangle DEFG across the y-axis to form D'E'F'G'. Then dilate the image by a scale factor of 1/3 with the center of dilation at the origin to form D'E'F'G".
Given points Reflected points Dilated points
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
Given data
The dimensions of the rectangle DEFG is
D ( 6, 3 )
E ( 9, 3 )
F ( 9, 12 )
G ( 6, 12 )
How to reflect rectangle DEFG across the y-axis to form D'E'F'GReflecting across y axis
Reflecting across y axis is done for example A ( x, y ) to AA
AA will be ( -x, y ).
Using this procedure we get points D'E'F'G' as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 )
E ( 9, 3 ) ⇒ E' ( -9, 3 )
F ( 9, 12 ) ⇒ F' ( -9, 12 )
G ( 6, 12 ) ⇒ G' ( -6, 12 )
How to dilate the image by a factor of 1/3 with the center of dilation at the originTo dilate by factor n with the center of dilation at the origin. for example B ( x, y ) to BB
BB will be ( -nx, -ny )
using the procedure we get the points D''E''F''G" as follows
D ( 6, 3 ) ⇒ D' ( -6, 3 ) ⇒ D'' ( 2, -1 )
E ( 9, 3 ) ⇒ E' ( -9, 3 ) ⇒ E'' ( 3, -1 )
F ( 9, 12 ) ⇒ F' ( -9, 12 ) ⇒ F'' ( 3, -4 )
G ( 6, 12 ) ⇒ G' ( -6, 12 ) ⇒ G' ( 2, -4 )
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complete question
The complete question is attached
State the theorem and find the value of x
Answer:
the sum of the interior angles of a triangle is always 180°
x = 12
Step-by-step explanation:
the sum of the interior angles of a triangle is always 180°
2x + 11 + 70 + 75 = 180
2x = 180 - 11 - 70 - 75
2x = 24
x = 12
----------
check
75 + 70 + 11 + 2 * 12 = ( remember pemdas)
75 + 70 + 11 + 24 =
180°
the answer is good