Answer:
The surface area is 200
Step-by-step explanation:
For the triangles, the width is 6 and the height is 4; so you would multiply 1/2·w·h (1/2·6·4) = 12
For the two side rectangles, the width is 5 and the height is 8; so you would multiply w·h (5·8) = 40
And for the middle rectangle, the width is 6 and the height is 8; so you would multiply w·h (6·8) = 48
Since there are two triangles you would double the 12, same for the rectangles.
And then you get 200; bam. Sorry, I'm sleep-deprived
Consider the function f(x) = 10% and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)?
g(x) = f(2)= 10(-)
OA. The graph of g(x) is the graph of f(x) compressed vertically by a factor of
OB. The graph of g(x) is the graph of f(x) stretched vertically by a factor of 2.
O c. The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.
O D. The graph of g(x) is the graph of f(x) compressed horizontally by a factor of
The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2
Describing the transformation of f(x) to g(x).From the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
Where, we have
f(x) = 10ˣ
g(x)= f(2x) = 10²ˣ
So, we have
Horizontal factor = 2x/x
Evaluate
Horizontal factor = 2
This means that the transformation of f(x) to g(x) is (a) f(x) is stretched horizontally by a factor of 2 to g(x).
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Question
Consider the function f(x)= 10^x and the function g(x), which is shown below.
How will the graph of g(x) differ from the graph of f(x)?
g(x)= f(2x) = (10)^2x
A storekeeper of an electronics company may have to deal with many types of materials that may kept in the store. Explain with suitable examples, FIVE (5) classes of materials that a storekeeper may be involved. (25 marks, 400 words)
Storekeepers in electronics companies deal with various types of materials. Five classes of materials include electronic components, raw materials, finished products, packaging materials, and maintenance supplies.
Electronic Components: Storekeepers are responsible for managing a wide range of electronic components such as resistors, capacitors, integrated circuits, connectors, and other discrete components. These components are essential for assembling electronic devices and are typically stored in organized bins or cabinets for easy access.
Raw Materials: Electronics companies require various raw materials for manufacturing processes. Storekeepers handle materials like metals, plastics, circuit boards, cables, and other materials needed for production. These materials are usually stored in designated areas or warehouses and are monitored for inventory levels.
Finished Products: Storekeepers are also responsible for storing and managing finished products. This includes fully assembled electronic devices such as smartphones, computers, televisions, and other consumer electronics. They ensure proper storage, tracking, and distribution of these products to customers or other departments within the company.
Packaging Materials: Packaging plays a crucial role in protecting and shipping electronic products. Storekeepers handle packaging materials such as boxes, bubble wrap, foam inserts, tapes, and labels. They ensure an adequate supply of packaging materials and manage inventory to meet packaging requirements.
Maintenance Supplies: Electronics companies often require maintenance and repair supplies for their equipment and facilities. Storekeepers handle items like tools, lubricants, cleaning agents, safety equipment, and spare parts. These supplies are necessary to support ongoing maintenance activities and ensure the smooth operation of machinery and infrastructure.
Overall, storekeepers in electronics companies deal with a diverse range of materials, including electronic components, raw materials, finished products, packaging materials, and maintenance supplies. Effective management of these materials is crucial to ensure smooth operations, timely production, and customer satisfaction.
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Write an expression to represent how to calculate the area of a triangular sail.
Answer:
(b × h) ÷ 2
Step-by-step explanation:
Select all the statements that are true for any value of x. 7x+(2x+7)=9x+7 7x+(2x−1)=9x+1 12x+(3−12x)=3 5x−(8−6x)=-x−8 0.4x−(0.2x+8)=0.2x−8 6x−(2x−4)=4x+4
From the given choices:
The equation 7x+(2x−1)=9x+1 is not true for any value of x.
The correct equations are 1, 3, 4, 5, and 6.
What is a linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
We have some following equations;
(1). 7x+(2x+7)=9x+7
Simplifying,
9x + 7 = 9x + 7.
(2). 7x+(2x−1)=9x+1
Simplifying,
9x - 1 ≠ 9x + 1
(3). 12x+(3−12x)=3
Simplifying,
3 =3
(4). 5x−(8−6x)=-x−8
Simplifying,
11x - 8 = - x - 8
x = 0
(5). 0.4x−(0.2x+8)=0.2x−8
Simplifying,
0.2x−8 = 0.2x−8
(6). 6x−(2x−4)=4x+4
4x+4 = 4x+4
Therefore, all the correct statements are given above.
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What is BD? imported image attached
Answer:
12
Step-by-step explanation:
i know that
There are 8 employees on The Game Shop's sales team. Last month, they sold a total of g games. One of the sales team members, Chris, sold 1 7 fewer games than what the team averaged per employee. How many games did Chris sell?
Therefore , the solution of the given problem of linear equation comes out to be chris sold = g/8 -17.
A linear equation definition.A model of linear regression is one that follows the algebraic formula y=mx+b. The y-intercept is m, and the slope is B. Although both y and x are distinct parameters, the foregoing sentence is sometimes referred to as a "mathematical equation with two variables." Bivariate linear equations only have two variables. Application areas of linear equations result in zero in all cases. The equation for one linear equation is Y=mx+b where m is the slope and b is the y-intercept. Y=mx+b is the formula for an equation, where m stands for slopes and b for the y-intercept.
Here,
Given : there are 8 employees on the game .
chris sold 17 fewer games than what the team averaged per employee.
Thus,
g be the number of total employee selling games:
=> chris sold = g/8 -17
Therefore , the solution of the given problem of linear equation comes out to be chris sold = g/8 -17.
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Convert y = x + 5x - 6 to factored form and identify the x-intercepts. x² . O a. y = (x - 6)(x + 1); x-intercepts (6,0) and (-1, 0) "
The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).
To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).
To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.
Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).
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two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.which functions could be the result of the combinations? select two options.16x – 1217x – 1272x2 – 96x72x2
The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:
To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.
To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes
(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)
= 6x^2 - 15x + 8x - 20
= 6x^2 - 7x - 20.
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suppose of the ten debate team members there are only two members who may be assigned position five in the debate. any member may be assigned positions one through four. in how many ways can the five members be chosen?
There are 45 possible choices for the five members.
There are ten people on the debate team, but only two of them can be in position 5. Positions 1 through 4 can be filled by any 10 members. Using the combination formula nCr, where n is the total number of items and r is the number of items chosen from that set, we can determine the number of ways to select these five members.
In this instance, we have 10C2, which simplifies to 10!/(2!(10-2)!)) or 10 items chosen from a set of 10. This can be reduced to 45, or 109/2. As a result, there are 45 ways to select the five debate team members.
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If the truck has a mass of 3,000 kilograms, and a velocity of 45 m/s, what is its momentum? show working
Answer: p = 70,000 kg m/s
Step-by-step explanation:
In this diagram, AE intersects BD at point c.
What is the measure os ACB
A. 10
B. 80
C. 110
D. 180
I submitted a photo so you can look at the question for yourself. Please hurry. This is a test and it needs to be done by today. Thank you. I will be giving brainliest
Answer:
The measure of ∠ACB is 110°Step-by-step explanation:
We know that:
x + 100 = 2x + 90 (Vertically opposite angles)∠ACB = x + 100Work:
x + 100 = 2x + 90-90 + 100 = 2x - x=> 10 = xThe value of x is 10.
x + 100 = ∠ACB=> 10 + 100 = ∠ACB=> 110 = ∠ACBHence, the measure of ∠ACB is 110°
Hoped this helped.
\(BrainiacUser1357\)
A triangle has an area of 72 square feet. The height is 12 feet. What is the length of the base (in feet).
Answer:6 feet
Step-by-step explanation:
72 divided by 12 = 6
y=x The point F is the foot of the perpendicular from the point (1, 9) to the line y=x. Find the coordinates of F.
Answer: (5,5)
Step-by-step explanation:
The perpendicular to y=x has slope -1, and thus the equation of the perpendicular from (1,9) is \(y=-x+10\).
Finding the point where they intersect, since both equations are set equal to y, we know that -x+10=x, and thus x=5.
If x=5, then y=5 as well.
So, F has coordinates (5,5).
Perform the following area application.
Compute the number of vinyl tiles, measuring 8 in. each side, needed to tile a kitchen measuring 24 ft. by 18 ft.
__________tiles
To find the number of vinyl tiles needed to tile a kitchen measuring 24 ft. by 18 ft. with tiles measuring 8 in. each side, we need to convert all measurements to the same units.
First, we need to convert the kitchen measurements from feet to inches:
- 24 ft. = 24 x 12 = 288 in.
- 18 ft. = 18 x 12 = 216 in.
Next, we need to divide the length and width of the kitchen by the length of each tile to find the number of tiles needed in each direction:
- Length: 288 in. ÷ 8 in. = 36 tiles
- Width: 216 in. ÷ 8 in. = 27 tiles
Finally, we multiply the number of tiles needed in each direction to find the total number of tiles needed:
- Total tiles: 36 tiles x 27 tiles = 972 tiles
To tile a kitchen, it is important to accurately calculate the number of tiles needed to ensure that there is enough material to complete the job. In this case, we converted all measurements to the same units and then used division and multiplication to find the total number of tiles needed.
To tile a kitchen measuring 24 ft. by 18 ft. with vinyl tiles measuring 8 in. each side, we need a total of 972 tiles.
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PLEASE HELP ME! I REALLY NEED SOME HELP!!
Answer:
a
Step-by-step explanation:
If the lines DE and BC were parallel then
Δ ADE and Δ ABC would be similar and the ratios of corresponding sides would be equal, that is
\(\frac{AD}{AB}\) = \(\frac{AE}{AC}\) , substituting values
\(\frac{4}{10}\) = \(\frac{6}{14}\)
but
\(\frac{4}{10}\) ≠ \(\frac{6}{14}\)
That is 4 : 10 ≠ 6 : 14 → a
Which of the following expressions is larger? 3.67 x 10^2 or 1.9 x 10^2
Answer:
3.67 x 10^2 is larger
Step-by-step explanation:
Answer:
3.67 x 10^2 is larger than 1.9 x 10^2
Step-by-step explanation: Multiply
what is the slope of the line?
Answer:
The slope is 3 or 3/1
Step-by-step explanation:
The faces of a cube have an area of 0.01 square units each. What is the cube's volume?
cubic units
Answer:
0.001
Step-by-step explanation:
The volume of a cube when the area of a face is 0.01 square units is 0.001 cubic units
What is a cube ?Cube is a three dimensional solid with a special characteristics such as having all the sides equal and intersecting at an angle of 90 degrees. A cube has six faces and each face has same properties as a square.
Given data
Area of face of a cube = 0.01 square units
solving for a side for the cube we have:
let a side of the cube be x
\(x = \sqrt{0.01}\)
x = 0.1
volume of a cubeThe volume of a cube is calculated by multiplying the three sides. We have earlier made a side to be x, so we have:
volume of a cube = x * x * x
volume of a cube = x^3
substituting the value of x gives
volume of a cube = 0.1^3
volume of a cube = 0.001 cubic units
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010, Vikki paid $1.66 for a dozen eggs. In 2022, Vikki paid $2.52 for a dozen eggs. If the rise in the cost of eggs is linear, what was the cost of egg $1.87 $2.01 $2.09 $2.71
Therefore, the cost of eggs in the given years are as follows:
2015: $1.87
2016: $1.94
2017: $2.01
2018: $2.09
2019: $2.16
2020: $2.24
2021: $2.31
2022: $2.39
The cost of eggs is increasing in a linear fashion, meaning that it is increasing at a constant rate. To find the cost of eggs in a specific year, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line. The slope is the change in y divided by the change in x. In this case, y is the cost of eggs and x is the year.
Slope = (y2 - y1)/(x2 - x1) = ($2.52 - $1.66)/(2022 - 2010) = $0.86/12 = $0.0717
Next, we need to find the y-intercept. We can use one of the points and the slope to solve for b in the equation y = mx + b.
$1.66 = ($0.0717)(2010) + b
b = $1.66 - ($0.0717)(2010) = -$141.44
Now we have the equation for the cost of eggs in a given year:
y = $0.0717x - $141.44
To find the cost of eggs in a specific year, we can plug in the value of x and solve for y.
For example, to find the cost of eggs in 2015:
y = ($0.0717)(2015) - $141.44 = $1.87
Therefore, the cost of eggs in 2015 was $1.87.
Similarly, we can find the cost of eggs in other years:
In 2016: y = ($0.0717)(2016) - $141.44 = $1.94
In 2017: y = ($0.0717)(2017) - $141.44 = $2.01
In 2018: y = ($0.0717)(2018) - $141.44 = $2.09
In 2019: y = ($0.0717)(2019) - $141.44 = $2.16
In 2020: y = ($0.0717)(2020) - $141.44 = $2.24
In 2021: y = ($0.0717)(2021) - $141.44 = $2.31
In 2022: y = ($0.0717)(2022) - $141.44 = $2.39
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h(x) = 4x +3. What is
the coordinate pair for h (1)?
9514 1404 393
Answer:
(1, 7)
Step-by-step explanation:
Fill in x=1 and do the arithmetic.
h(1) = 4(1) +3 = 7
The coordinate pair is ...
(x, h(x)) = (1, h(1)) = (1, 7)
Im not sure how to find the distance between the points.
Given,
the coordinates of the point is P(-4, -1) and N(1, -8).
Required
The distance between the point P and N.
The distance between the point P and N.
\(\begin{gathered} Distance=\sqrt{(1-(-4))^2+(-1-(-8))^2} \\ =\sqrt{5^2+(7)^2} \\ =\sqrt{25+49} \\ =\sqrt{74} \end{gathered}\)Hence, the distance between the points is sqrt(74).
What is the domain of function p?
p(x)=√x-1 + 2
Answer:
the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )
An object is dropped from 40 feet below the tip of the pinnacle atop a 716-ft tall building. The height h of the object after t seconds is given by the equation h=−16t2+676. Find how many seconds pass before the object reaches the ground.
Answer:
Below
Step-by-step explanation:
When it reaches the ground h = 0
h = 0 = -16t^2+676
16t^2 = 676
t^2 = 42.25 t = 6.5 s
Simplify the expression.
5b²+(a²+5b)(ab-b²)
I might award brainliest
To simplify the expression 5b²+(a²+5b)(ab-b²), we can use the distributive property to expand the second term:
5b²+(a²+5b)(ab-b²)
= 5b²+a²ab-a²b²+5bab-5bb²
Then, we can use the associative property of addition to rearrange the terms:
= 5b²+a²ab-a²b²+ab5b-b²5b
Finally, we can combine like terms:
= (5b²-b²5b)+(a²ab-a²b²)+ab5b
= -4b³+a²*ab+5ab
Therefore, the simplified expression is -4b³+a²*ab+5ab.
The distributive property states that the product of a number and a group of numbers is equal to the sum of the products of the number and each individual number in the group. For example, a*(b + c) = ab + ac.
The associative property of addition states that the grouping of numbers being added does not affect the result. For example, (a + b) + c = a + (b + c).
Answer:
the simplified expression is 10ab*b.
Step-by-step explanation:
To simplify the expression 5b²+(a²+5b)(ab-b²), we can first use the distributive property to expand the second term:
5b²+(a²+5b)(ab-b²)
= 5b²+a²ab-a²b²+5bab-5bb²
Then, we can combine like terms:
5b²+a²ab-a²b²+5bab-5bb²
= 5b²-a²b²+5bab+5bab-5bb²
= 5b²+10abb-5b²
= 5b²-5b²+10abb
= 0 + 10abb
= 10abb
In the figure, triangle ABC is a right triangle. AD is perpendicular to BC, and the measure of BD=2 meters and DC=8 meters. What is the measure of AC?
A 2.8 m
B 4.5 m
C 8.9 m
D 10.0 m
Answer:
C
Step-by-step explanation:
The shapes are sorted into two groups- circled and not circled. How are the shapes in the two groups different?
Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.
The classification of shapes into circled and not circled groups typically implies that some shapes are enclosed within a circle, while others are not. This distinction is based on whether the shape has a circular boundary or not.
Shapes that are circled have a well-defined circular outline or boundary. For example, a circle itself is a shape that belongs to the circled group. Other examples of circled shapes can include ellipses, ovals, or curved shapes that resemble circles when enclosed within a circular boundary.
On the other hand, shapes that are not circled lack a circular boundary. These shapes can have various other forms, such as squares, triangles, rectangles, pentagons, hexagons, or any irregular shape that does not fit within the definition of a circle or possess a circular outline.
The primary distinction between the circled and not circled shapes lies in their respective boundaries. Circled shapes have a circular boundary, while not circled shapes can have a wide range of different boundaries, often featuring straight sides and angles rather than curves.
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A publisher needs to send many books to a local book publishing retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 40 books. A total of 13 boxes were sent which can hold 360 books altogether. graphically solve a system of equations in order to determine the number of small boxes sent, x, and the number or large boxes sent, y
The number of small boxes sent, x, are 8 and the number or large boxes sent, y be 5.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x be the small books and y be the number of large boxes.
Each small box can hold 20 books and each large box can hold 40 books.
A total of 13 boxes were sent which can hold 360 books
20x+40y=360
x+y=13
Now x=13-y
Plug x in above equation
20(13-y)+40y=360
260-20y+40y=360
260+20y=360
20y=100
y=5
Now x=8
Hence, the number of small boxes sent, x, are 8 and the number or large boxes sent, y be 5.
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if2×4^a-3=16^a÷8^1-a
\(.\)
2×4^a-3= 16^a÷8^1-a
Answer:
Correct option is
B
10
Given2
2x−y
=32
⇒2
2x−y
=2
5
⇒2x−y=5−−−−(1)
Again2
x+y
=16
⇒2
x+y
=2
4
⇒x+y=4−−−−(2)
Adding(1)and(2)weget
3x=9
⇒x=3
Substitutingx=3in(2)weget
y=1.
∴x
2
+y
2
=3
2
+1
2
=10(Ans)
help meeeeeeeeeeeeeeeeeeeeee
Answer:
To the nearest tenth, the length is 6.4 meters, and the width is 3.4 meters.
Step-by-step explanation:
Let w be the width of the rectangle. Then l = w + 3, and we have:
\( w(w + 3) = 22\)
\( {w}^{2} + 3w = 22\)
\( {w}^{2} + 3w - 22 = 0\)
Calculating the discriminant:
\( \sqrt{ {3}^{2} - 4(1)( - 22)} = \sqrt{9 + 88} = \sqrt{97} \)
So by the quadratic formula, and discarding the negative solution, we then obtain:
\(w = \frac{ - 3 + \sqrt{97} }{2} = 3.4\)
\(l = w + 3 = 3.4 + 3 = 6.4\)
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5