a) After 4 years the profit will change from negative to positive.
b)after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) after 4 years the profit will be 5.
Step-by-step explanation:
a) After 1 year = 2(1) -6(1) -3
= 2-9
= -7
It's negative
After 2 years = 2(4) -6(2) -3
= 8-12-3
= -7
It's negative
After 3 years = 2(9) -6(3) -3
= 18 - 18 -3
= -3
It's negative
After 4 years = 2(16) -6(4) -3
= 32 -24-3
= 5
It's positive
After 4 years the profit will change from negative to positive
b) after 4 years the profit will be lowest.
Because the equation is a quadratic equation so, it will be increasing.
c) profit = 2(16) - 6(4) -3
= 32 -24 - 3
= 5
after 4 years the profit will be 5
A certain machine is to contain two wheels, one of radius 2 inches and one of radius 8 inches. The manufacturer of this machine needs to produce a belt that will fit snugly around the two wheels, as shown in the diagram below. How long should the belt be?
Answer:
See Below
Step-by-step explanation:
The length of the belt is the length around 2 inch radius wheel PLUS length around 8 inch radius wheel.
The length around a circular region is its circumference. The formula is:
[tex]C=2 \pi r[/tex]
Where
C is circumference
r is the radius
We sum up both, given first one radius is 2 and second one radius is 8, so we have:
[tex]2\pi r + 2 \pi r \\=2 \pi (2) + 2 \pi (8)\\=4\pi + 16 \pi\\= 20 \pi\\=62.83[/tex]
The length of the belt should be around 62.83 inches
0.8342 as a fraction?
Answer:
4171/5000
Step-by-step explanation:
When diving 4171 by 5000, you get the answer of 0.8342. If you are using a calculator, you can use a button that allows you to convert decimals to fractions and vice versa.
The decimal number 0.8342 as a fraction in the simplest form is 4171/5000.
What is a fraction?In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.
In this exercise and scenario, we would convert the given decimal number into a fraction as follows;
0.8342 = 8342/10000
By dividing both the numerator and denominator by 2, we have the following
8342/10000 = 4171/5000
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What is the area of of this tile 6 in and 2 in
Answer:
12 inches squared
Step-by-step explanation:
If it is 6 inches by 2 inches, then you multiply 6 by 2 to get 12 inches squared.
Answer:
12 inches squared
Step-by-step explanation:
6 x 2 = 12
Because it's area, you need to make sure that the units are squared.
The volume of a sphere with a radius of 5 (in terms of pi) is ?
Answer:
523.6
Volume of Sphere is V=4 /3πr3
By how many factors of 10 did you multiply 0.008? Why?
Answer: 3
Step-by-step explanation:
Move the decimal back to its point of origin
To multiply a number by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10.
Explanation:When multiplying a number by a power of 10, you can count the number of zeros in the power of 10 and move the decimal point that same number of places to the right.
In the case of multiplying 0.008 by 10, the power of 10 is 1, so you would move the decimal point one place to the right, resulting in 0.08.
Therefore, you multiply 0.008 by 10 to get 0.08.
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Please help me with this
Answer:
a b c and e
Step-by-step explanation:
Answer:
The fist one
Step-by-step explanation:
Find the distance between (2, 3) and (–4, 4). If necessary, round to the nearest tenth.
Answer:
√37
Step-by-step explanation:
What is the equation of the axis of symmetry for the graph?
Answer:
-b/2a
Step-by-step explanation:
is y=1-x a linear equation
Answer:
Yes
Step-by-step explanation:
It can be rewritten as y = -x + 1.
The slope is -1 and the y-intercept is (0,1)
Final answer:
The equation y=1-x is indeed a linear equation, fitting the general form y = a + bx with a slope of -1 and y-intercept of 1.
Explanation:
Yes, y=1-x is a linear equation. In general, a linear equation can be written in the form y = a + bx, where a is the y-intercept and b is the slope. In this case, the equation y=1-x can be rewritten as y = (-1)x + 1, which clearly fits the form of a linear equation with a slope of -1 and a y-intercept of 1.
The graph of a linear equation is a straight line, and the equation y=1-x represents a straight line with a downward slope. Unlike nonlinear equations, such as y=xb where b is a power, linear equations represent a direct proportionality between y and x.
each side of a square plastic tarp is 9 meters long. what is the tarps perimeter
Answer:
36
Step-by-step explanation:
9 times 4
The perimeter of a square is calculated by 4 times the length of one side. For a square plastic tarp with each side being 9 meters, the perimeter would be 36 meters.
Explanation:The perimeter of a square can be calculated by using the formula: 4 x side length. In this case, the length of the side of the tarp is 9 meters. Therefore, to find the perimeter, you would multiply 4 (the number of sides in a square) by 9 (the lengths of one side). That calculation would look like this: 4 x 9 = 36 meters. So, the perimeter of the square plastic tarp is 36 meters.
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x=y-4 and 2x+4y=10 help me
Answer:
Step-by-step explanation:
1. x = y-4
0 = y - 4 -x
4 = y - x
2. 2x+4y = 10
x+4y = 5
x+y = 5/4
Which is the most accurate estimate of 27% of 39 ?
A: 13×40
B: 12×40
C: 14×40
D: 23×40
Answer:
Option D.
Step-by-step explanation:
we know that
The number 39 represent the 100%
so
using proportion
[tex]\frac{39}{100}=\frac{x}{27}[/tex]
solve for x
[tex]100x=39(27)\\x=10.53[/tex]
Calculate the angle of LOM
Answer:
The angle measurement is 68 degrees
Step-by-step explanation:
The line NL is a straight line, so the angle is 180
NOM and LOM add up to the straight line
Then, subtract 112 from 180 to get 68 degrees as the answer
Answer:
68°
Step-by-step explanation:
1.) 112 + x = 180
2,) subtract 112 to both sides
112 + x = 180
-112 = - 112
x = 68
what is the domain for y=3
Answer:
The domain is all real numbers
Step-by-step explanation:
The domain is the input values
y= 3 is a horizontal line across all x
The domain is all real numbers
The domain is all real numbers.
The domain is the possible values for x that result in a valid equation, no dividing by zero or any of that stuff. Here there's no x in the formula, y=3 is a horizontal line, f(x)=3 for all x. No x in the formula means it works for all x; nothing to go wrong.
Can y’all help me please
Answer: 3 equal sides a 3 vertices
Step-by-step explanation:
graph the line that has an x intercept (-3,0) and y intercept (0,-5)
Answer:
Step-by-step explanation:
Plot points at the given points and connect with a line.
Day 1 2 3 4 5
Temperature (°F) 70 72 68 75 70
The temperature for 5 days is shown in the table. If on the 6th day the temperature was 83°, by how much will this increase the overall median temperature?
A) 1°.
B) 2°.
C) 3°.
D) 4°.
Answer:
the answer is b 2
Step-by-step explanation:
Final answer:
Adding a sixth temperature of 83°F to the original data set increases the median temperature from 70°F to 71°F, which is an increase of 1°F. Thus, option A is correct.
Explanation:
The question is asking how much the addition of a sixth day's temperature of 83°F will increase the overall median temperature of the previously recorded five days.
First, we need to arrange the temperatures of the first five days in ascending order: 68°, 70°, 70°, 72°, and 75°. The median of these five numbers is 70°F, which is the middle value.
When we add a sixth temperature of 83°F, the new set of temperatures will be 68°, 70°, 70°, 72°, 75°, and 83°.
With an even number of data points, the median is the average of the two middle numbers which are now 70° and 72°F. The average of 70°F and 72°F is 71°F.
Thus, the new median is 71°F, which is a 1°F increase from the original median of 70°F.
Therefore, the correct answer is A) 1°.
What will be the total area of the garden and the walkway?
A. 504 ft^2
B. 594 ft^2
C. 638 ft^2
D. 648 ft^2
E. 696 ft^2
David has a monthly net income of $1,360. His fixed monthly expenses consist of a rent payment of $450. He is paying off a student loan of
$116 per month
David would like to buy a new television set using a credit card. What is the largest montly payment David can afford for the television set so
that his credit card payments and stuent loan keep him within a safe debt load?
The largest monthly payment David can afford for the television set is $794.
Explanation:To determine the largest monthly payment David can afford for the television set, we need to calculate his monthly expenses and subtract them from his net income. David's fixed monthly expenses consist of a rent payment of $450 and a student loan payment of $116. Therefore, his total monthly fixed expenses are $450 + $116 = $566.
We can subtract David's total monthly fixed expenses from his net income: $1,360 - $566 = $794. This is the maximum amount David can afford to allocate towards credit card payments and still stay within a safe debt load.
So, the largest monthly payment David can afford for the television set is $794.
A savings account with an initial deposit of $10,000 has an annual interest rate of 3.2%. The interest on the account is compounded monthly. What is the
balance of the account, to the nearest cent, after 6 years?
Answer:
account balance will be $12113.9 and the interest is $2113.9.
Find the value of x and y in the diagram below 9 30 degrees
Answer:
not enough information.
Step-by-step explanation:
Answer: D!!
Step-by-step explanation:
A system of linear equations graphs as parallel lines. The system has how many solutions?
Answer:
None
Step-by-step explanation:
Parallel lines never intercept, giving no solution points
What is the median of this set of numbers?
3, 6, 1, 10, 6, 2, 2, 5
A
5
B
3
C
2
D
4
Answer:
d. 4
Step-by-step explanation:
Arranging in ascending order
1 , 2 , 2 , 3 , 5 , 6 , 6 , 10
No of data (N) = 8
Position of median
= (N+ 1) / 2 th item
= (8 + 1) / 2 th item
= 9 / 2 th item
= 4.5 th item
Exact median
= (5 + 3 )/2
= 8/2
= 4
ne
Which set of line segments could create a right triangle? (4)
24,30.35
12. 18.30
18. 24.30
18. 24.35
Answer:
Hi There the correct answer 18. 24.30
Step-by-step explanation:
because there is a special triangle triple (it only works on right triangles.) it is the ration 3:4:5. If you multiply 6 to all of them you get 18:24:30 which is your answer.
Which graph represents the function f(x)=2/x-1+4
Answer:
Step-by-step explanation:
how do you solve this?
Answer:
Step-by-step explanation:
What is the solution to the equation 4x-6= 10x-3?
Answer:
To solve this equation we need to get x by itself.
4x-6=10x-3, (the first step would be adding 6 to both sides.)
4x=10x+3 (the next step is the subtract ten from both sides.)
-6x=3 (Last step is the divide both sides by -6.)
x=-1/2
Hope this helps ;)
In the diagram, the measure of angle 1 is (3x), and the measure of angle 2 is (12x)".
516
87
What is the measure of angle 4?
Answer:
Angle 4 is 144.
Step-by-step explanation:
Applying the definition of vertical angles, the measure of angle 4 is: 144°.
What are Vertical Angles?Vertical angles are a pair of angles that lie directly opposite each other and are equal in measure to each other.
m∠1 + m∠2 = 180° (linear pair)
Substitute
3x + 12x = 180
15x = 180
x = 12
∠4 and ∠2 are vertical angles, therefore:
m∠4 = m∠2 = 12x
Plug in the value of x
m∠4 = 12(12)
m∠4 = 144°
Therefore, applying the definition of vertical angles, the measure of angle 4 is: 144°.
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Some people were asked for their favorite numbers.
People's favorite numbers between 1 and 5
X
X
X
X
X
HHHHH
1 2 3 4 5
Favorite number
What is the mean of the numbers?
Answer:
3 is the mean.Step-by-step explanation:
To find the mean you need to add up all of the given numbers (order does not matter) then divide by that many numbers.
Add all 5 numbers then divide by 5.
1 + 2 + 3 + 4 + 5 = 15
15 / 5 = 3
I hope this helped!
Answer:
3 is mean
Step-by-step explanation:
Have a Sibling Only Child
Have Chores 7 9
Do Not Have Chores 8 6
The table represents the results of a class survey. What is the relative frequency that someone will have chores, given that they have a sibling?
A) 0.21
B) 0.44
C) 0.47
D) 0.53
Answer: 0.47
Step-by-step explanation:
Answer:
C) 0.47
Step-by-step explanation: