Answer:
$5000 per year
Step-by-step explanation:
Given data
initial value of the computer= $30000
Final value = $0
Duration= 6years
Hence the rate of change in the value per year is
=30000/6
=$5000 per year
1) What is the common difference of the arithmetic sequence 5, 8, 11, 14?
Answer:
The common difference of the sequence 5,8,11,14 is 3.
Answer:
the answer is 3
Step-by-step explanation:
5 + 3 = 8
8 + 3 = 11
11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.
The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the
rectangle
Answer: Width = 5 inches
Concept:
Here, we need to know the idea of the perimeter.
A perimeter is a path that encompasses/surrounds/outlines a shape.
Perimeter of rectangle = 2 (w + l)
w = width
l = length
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
w = w
l = 3w - 2
P = 36 inches
Given formula
P = 2 (w + l)
Substitute the value into the formula
36 = 2 (w + 3w - 2)
Simplify values in the parentheses
36 = 2 (4w -2)
Divide 2 on both sides
36 / 2 = 2 (4w - 2) / 2
18 = 4w - 2
Add 2 on both sides
18 + 2 = 4w - 2 + 2
20 = 4w
Divide 4 on both sides
20 / 4 = 4w / 4
w = 5
Hope this helps!! :)
Please let me know if you have any questions
How would you describe the difference between the graphs of f(x)=2/3 x^3 and g(x)=2/3(-x)^3
Using the graph, determine the equation of the axis of symmetry.
Answer:
x = 6
Step-by-step explanation:
The axis of symmetry passes through the vertex of the graph
It is a vertical line with equation
x = c ( c is the x- coordinate of the vertex )
vertex = (6, 1 ) with x- coordinate 6 , then
equation of axis of symmetry is x = 6
2 cos(3x+40°)-1=0
Thanks for your question
Step-by-step explanation:
gjfjdjjfu from Florida for Christmas and technology center and technology and technology
which choice is equivalent to the expression below when x > 0?
√50x³ - √25x³ + 5√x³ - √2x³
A. 4√x
B. 28√x³³
C. 5√2x
D. 4x√2x
Answer:
D
Step-by-step explanation:
5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x
You are responsible for hiring a company to take care of snow removal in the winter time. Company A charges an annual winter fee of $1050 plus $150 for each snow removal job that they complete. Company B charges no annual winter fee, but $200 for each snow removal job that they complete. a) Determine an equation to represent the cost structure of each snow removal company [KNOW-4 marks] b) Solve the linear system of equations that you created in part a) [KNOW-4 marks] c) How can you decide which company would be hired based on your solution in part b) - provide a detailed explanation for full marks. [COMM-3 marks]
Answer:
1050 + (150)times the amount of jobs they do for you during that winter, for A. 0 + (200)times the amount of jokes they do for you during that winter, for B.
Step-by-step explanation:
Boom I would choose B because it would be cheaper, since we do most of the snow removal ourselves.
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2 questions
Answer:
Confidence Interval - "P" values
(0.4433 , 0.5444 )
~~~~~~~~~~~~~~~~~~~~~~~
[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]
in you image it is the last on "D"
Step-by-step explanation:
Confidence Level - "P" values
99% 2.58
Confidence Interval - "P" values
(0.4433 , 0.5444 )
Name the quadrant or axis where the point (4.-6) is located.
Answer:
Step-by-step explanation:
(4, -6) is in quadrant IV , (quadrant 4)
the base of a right prism is an equilateral triangle each of whose sides measures 4cm. The altitude of the prism measures 5cm. Find the volume of the prism
Volume = (√3/4)a^2 × h
= (√3/4)4^2×5
=(√3/4)16×5
=√3×4×5
=20√3
Ans Volume is 20√3cm^2
Answered by GauthMath if you like please click thanks and comment thanks
Connor rolled a die 6 times. A 2 occurred three times. Why isn't the theoretical probability 3/6 instead of 1/6?
2 occurred 3times
[tex]\\ \sf\longmapsto S=6\times 3=18[/tex]
[tex]\\ \sf\longmapsto |S|=18[/tex]
Now
[tex]\\ \sf\longmapsto E=No\:of\:times\: 2\:occured[/tex]
[tex]\\ \sf\longmapsto |E|=3[/tex]
we know
[tex]\boxed{\sf P(E)=\dfrac{|E|}{|S|}}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{3}{18}[/tex]
[tex]\\ \sf\longmapsto P(E)=\dfrac{1}{6}[/tex]
write a linear equation in standard form for the line that goes through(2.-3) and (4 -2)
Answer:
y =1/2x -4
Step-by-step explanation:
x1 y1 x2 y2
2 -3 4 -2
(Y2-Y1) (-2)-(-3)= 1 ΔY 1
(X2-X1) (4)-(2)= 2 ΔX 2
slope= 1/2
B= -4
Y =0.5X -4
Nuclear Power is a perfect example of exponential relations. Canada produces over half of its electricity using nuclear reactors. One of the major problems associated with nuclear power generation is the radioactive waste. Currently all nuclear waste is stored on site at the power plant and there is no solution for the long term waste.
A) What would you do with the long term waste?
B) How would you take care of Canada’s energy needs for the future?
Nuclear waste is a long term waste and is a major problem the world is facing regarding its disposal.
Answer :
Nuclear fission is exponential. This is known as chain reaction and a number of uranium atoms are fission together to increase exponentially.
Canada, for example produces electricity using the process of fission process in its nuclear reactors.
The nuclear waste includes :
used reactor fuel, uranium mill tailings and other radioactive wastes.These wastes remain radioactive and are dangerous for the human health.
A).
The long term nuclear waste are stored in deep excavations and covered with rocks and mud. They are also stored in some high density and thick cylinders and remained isolated in the dump yard from the people and nature.B).
Most of the energy requirement of Canada can be taken care off by using wind energy. Canada is planning to set up wind energy mills in most of its part and generate electricity from it.Canada has also installed several solar power projects which is clean and can help the people to use this solar energy to produce electricity.Learn More :
https://brainly.com/question/1013815
Suppose that 65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks, 38% end up investing in bonds, and 36% end up investing in both stocks and bonds. What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
Answer:
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Step-by-step explanation:
This question is solved treating these probabilities as Venn events.
I am going to say that:
Event A: Person invests in stocks.
Event B: Person invests in bonds.
65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks
This means that [tex]P(A) = 0.65[/tex]
38% end up investing in bonds
This means that [tex]P(B) = 0.38[/tex]
36% end up investing in both stocks and bonds.
This means that [tex]P(A \cap B) = 0.36[/tex]
What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?
This is [tex]P(A \cup B)[/tex], given by the following equation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
Considering the values we have for this problem:
[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]
0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).
Please help me factorise these and expand these brackets
Answer:
-9xy+16x
Step-by-step explanation:
x(y-2)+3x(6-y)-7xy
xy-2x+18x-3xy-7xy
xy-3xy-7xy-2x+18x
-9xy+16x
Which of the following sets represent D ∪ E?
{2, 4, 5, 6, 8, 15}
{2, 4, 5, 6, 8, 10, 15, 20}
{10, 20}
{3, 7, 9, 11}
Answer:
{2,4,5,6,8,10,15,20}
Answer:
{ 2,4,5,6,8,10,15,20}
Step-by-step explanation:
D ∪ E
This means the union of the two sets or what is in both circles with no duplicates
{ 2,4,5,6,8,10,15,20}
Write the ratio: 3 1/6 to 17/6
as a fraction in lowest terms.
Answer: [tex]\frac{19}{6} : \frac{17}{6}[/tex]
Step-by-step explanation:
Let us first represent the ratio.
3[tex]\frac{1}{6} : \frac{17}{6}[/tex]
Now we need to convert 3[tex]\frac{1}{6}[/tex] into a improper fraction.
[tex]\frac{19}{6} : \frac{17}{6}[/tex]
Now it is in its simplest form.
The final answer is [tex]\frac{19}{6} : \frac{17}{6}[/tex]
Please i really need it rn pls
The 3rd option is correct
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 46 feet. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 210 feet
Answer:
On the graphing calculator, use the function normCdf, where
lower bound = -9999upper bound = 210mean = 250standard deviation = 46It will result in normCdf(-9999,210,250,46) ≈ 0.192269 or 19.2269%
Unit Rates
Assignment Active
Completing a Rate Table
Miles
Hours
Margie can walk 3.5 miles in 1 hour.
Find the values of a, b, c, and that complete the table
showing this relationship
3.5
a=
7
v
a
5
3
d=
14
e
5
Answer:
its c
Step-by-step explanation:
i did it on ed
Answer:
Heres the answer!
Step-by-step explanation:
solve the problem below
===========================================================
Explanation:
Refer to the diagram below.
There's a lot of info given to us that we don't need (and won't use).
The only key piece of info we'll really use is the fact that angle XZY is 27 degrees.
Draw in segments RU and RT to form quadrilateral TRUZ
Focusing solely on this quadrilateral, we see that the angles T and U are 90 degrees each (since the tangents are perpendicular to the radii at the point of tangency). Furthermore, we see that angle Z is 27 while angle R is x
For any quadrilateral, the four angles always add to 360 degrees
T+R+U+Z = 360
90+x+90+27 = 360
x+207 = 360
x = 360-207
x = 153
That means angle R of quadrilateral TRUZ is 153 degrees.
Furthermore, it means angle TRU is 153 degrees.
By extension, it indicates that minor arc TU is 153 degrees.
That makes arc TSU = 360 - (minor arc TU) = 360 - 153 = 207 degrees
By Joining TR and UR we got 2 right angles and a Quadrilateral
now
In a Quadrilateral sum of angles=360°
[tex]\\ \large\sf\longmapsto x+90+90+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+180+27=360[/tex]
[tex]\\ \large\sf\longmapsto x+207=360[/tex]
[tex]\\ \large\sf\longmapsto x=360-207[/tex]
[tex]\\ \large\sf\longmapsto x=153°[/tex]
<TSU =360-153=207°Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.
Answer:
The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4). Just connect the dots to make the triangle.
Let me know if anything did not make sense.
Step-by-step explanation:
Reflect just means how far away is each point to the line of reflection? then ake a new point the sae distance, but in the opposite direction. You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.
So the three points are A:(3,1), B:(5,1) and C:(3,4)
Now use a horizontal line to measure how far A, B and C are from x=2.
A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left. so (3,1) becomes (1,1) The y value does not change since you are only using the horizontal direction for reflection. B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)
Now the second reflection is the exact same process, but witht he new points reflected across x = -3. So the new points are (-7,1) (-5,1) and (-7,4).
I NEED HELP
THERE ARE TWO OTHER QUESTIONS AS WELL
Answer:
Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel
Step-by-step explanation:
The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]
The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;
The point A with coordinate (-7, 7) reflected across the line x = -4, gives;
A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)
Similarly, we have;
B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)
C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)
D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)
Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)
The second transformation, [tex]r_{y-axis}[/tex], is found as follows;
(x, y) [tex]r_{y-axis}[/tex] → (x, -y)
Therefore, we have;
A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)
B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)
C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)
D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)
The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.
Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense in real numbers? 3.14 and pi 3.33 and 1/3 e squared and square root of 5 square root of 64 over 2 and square root of 16
Answer:
So, we need to find irrational numbers between the given pairs.
Remember that the sum between an irrational number and an rational number is irrational.
For example, for the first case, we want a irrational number between:
3.14 and pi:
pi = 3.14159265.... is irrational
pi - 0.0001 = 3.14159265... - 0.0001 = 3.14149265...
So this number:
3.14149265...
is an irrational number larger than 3.14 and smaller than pi.
Second cacse:
3.33 and 1/3
(here the range would be actually:
1/3 = 0.33 and 3.33
So we want an irrational number larger tan 0.33 and smaller than 3.33
here we can just use pi = 3.141592...
third case:
e^2 and √5
Firs let's write these numbers so we can see how they look.
e^2 =7.389...
√5 = 2.236
So we want a number larger than 2.236... and smaller than 7.389...
Again, here we can use pi = 3.141592...
2.236... < 3.141592... < 7.389...
final case:
√(64/2) and √16
we have:
√(64/2) = 5.65
√16 = 4
So we want an irrational number larger than 4 and smaller than 5.65
Again, let's use our beloved number pi.
we have that:
pi + 1 is an irrational number:
pi + 1 = 3.14159265... + 1.0 = 4.14159265....
This number, 4.14159265..., is irrational, is larger than 4 and is smaller than 5.65, so we found the irrational number between the given pair of numbers.
Answer:
3.33 and 1/3
Step-by-step explanation:
Can someone help me please
Answer:
=2⁵it's option B 2⁵(B) 2⁵ is the right optionHellllpppppp please?????
Answer:
∠ 1 = 65°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
5x - 10 is an exterior angle of the triangle, then
5x - 10 = 3x + 40 ( subtract 3x from both sides )
2x - 10 = 40 ( add 10 to both sides )
2x = 50 ( divide both sides by 2 )
x = 25
The sum of the 3 angles in a triangle = 180° , so
∠ 1 + 40 + 3x = 180°
∠ 1 + 40° + 3(25) = 180°
∠ 1 + 40° + 75° = 180°
∠ 1 + 115° = 180° ( subtract 115° from both sides )
∠ 1 = 65°
please help! :)
Answer question B.
Thank you!
Answer:
t f dis say mane ion speak italian
Step-by-step explanation:
Solve for x:
( x - 6 ) ^ 2 = 7
Answer: x= 6 +/- root of 7
Step-by-step explanation:
1. Expand the left hand side: e.g, 3^2 = 3×3 =9
(x-6)(x-6) = 7
2. Multiply the brackets first by "separating" one of them, and take 7 to the left hand side:
x(x-6) - 6(x-6) =7
x^2 - 6x -6x +36-7=0
Simplify by adding like terms
x^2 -12x +29=0
3.Now your equation is in the form ax^2+bx + c =0, it means you can use the quadratic formula which is x= [-b +/- root of (b^2 - 4ac)]÷ 2a
Then SUBSTITUTE where:
a=1
b= -12
c=29
Therefore, x should be 6+ root of 7 OR 6- root of 7
Answer:
uhhhh okay thank you for removing my answer
Step-by-step explanation:
HELP ASAP LIKE PLEASE
Answer: (3b+2)(b+2)
Step-by-step explanation:
Olympia ate lunch at a restaurant. The amount of her check was $6.89. She left $8.00 on the table, which included the amount she owed plus a tip for the waiter. Which equation shows t, the amount of her tip, in dollars?
6.89 + t = 8.00
6.89 - t = 8.00
6.89t = 8.00
6.89 = 8.00 Divided by t
Answer:
not sure if the answer is obvious but I'd say $6.89 + t = $8.00
Step-by-step explanation:
so to make it more understandable you have to first go over the question and ask your self is the tip included in the totally amount owed or is it apart
after you figure out that its apart all you have to do is plug in the numbers you could verify this by checking every equation like this
$6.89 + t = $8.00 (t) in this case is the tip which would be $1.11 all you do to arrive at that answer is subtract the amout owed from the amount given like this $8.00 - $6.89 = $1.11 which will be your tip
now continue checking your answer next is , $6.89 - t = $8.00
which would be $6.89- $1.11 = $5.78 not quite right because now she is short on the pay , on to the next its $6.89t= $8.00 which would be $6.89 x $1.11= $7.65 rounded to neartest tenth which would included the amount but not all the tip given meaning tip would be short 0.35 cents and finally $6.89= $8.00 divided by t , now this takes the amount give which is $8.00 and divides by t which is $1.11 doing this $6.89 = $8.00/$1.11 which it is trying to imply that $6.89 is equal to $7.21 which would be incorrect making the only reasonable equation $6.89 + t = $8.00 reaveling that the tip given was $1.11
hopefully that help maybe i can get brainlist?!
Answer:
6.89 + t = 8.00
Step-by-step explanation:
it's A
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