Answer:
-7
Step-by-step explanation:
To add a positive number, 5, and a negative number, -12, take the absolute value of both numbers.
You get 5 and 12.
Subtract the smaller absolute value from the larger absolute value.
12 - 5 = 7
The sign of the answer is the same sign as the number that has the larger absolute value. The absolute of 5 is 5. The absolute value of -12 is 12. -12 has the larger absolute value, and -12 is negative, so the answer is negative.
5 + (-12) = -7
Calculate the distance between Point A (-8,-2) and Point B(6,-1) Leave the answer in radical form.
the distance between Point A (-8,-2) and Point B(6,-1) in Radical form= [tex]\sqrt{197}[/tex]
Distance formula:
The distance between two points formula uses the coordinates of two points in space. In coordinate geometry, the distance between two points can be calculated using the distance formula, present in a two-dimensional or three-dimensional space. The distance formula for two points is also an application of the Pythagoras theorem
the distance formula is used to find the distance between any two points when we already know the coordinates. The points could be present alone on the x-axis or y-axis or on both axes.
Let us consider, that there are two points say A and B in an XY plane. The coordinates of point A are (x1,y1), and of B are (x2,y2). Then the formula to find the distance between two points PQ is given by:
AB=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Note: If the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
the distance between point origin O(0,0) and P(x,y) is given by:
OP = √((x2 – 0)² + (y2 – 0)²)
OP = √((x2)² + (y2)²)
or simply,
OP = √(x² + y²)
Solution :
where x and y are coordinates of points other than the origin.
Given :
(x1,y1) = (-8,-2)
(x2,y2)= (6,-1)
Solution:
[tex]d=\sqrt{x^{2} +y^{2} } \\d=\sqrt{(6+8)^{2} +(-1+2)^{2} } \\d=\sqrt{14^{2}+1^{2} } \\[/tex]
[tex]d=\sqrt({197)[/tex]
Radical form= [tex]\sqrt{197}[/tex]
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Interns,
Mr. Howell, the prestigious founder and owner of our company Coal is Gold Electricity would like you to perform an
analysis on the company’s emission control. The government is providing subsidies to encourage reducing emissions.
Mr. Howell would like to know is it worth reducing emissions with the subsidy. The pertinent information can be found
in Mr. Howell’s email below.
“Mr. Kleppin,
As you know, my company has supplied the energy needs of the entire state since 1968! I can’t believe they are
demanding that we reduce our emissions! This will force us to pass on the increase in the cost to our customers!
Thankfully, the government will be providing a subsidy to offset these costs! The current subsidy is $500 per pound of
pollution reduction each day with a minimum reduction of 15 pounds per day. I have spoken to the engineering
department regarding the cost to reduce emissions. They informed me that the average daily cost to us is a fixed daily
cost of $100 in addition to $30 times the square of the quantity of pounds of pollution reduced each day. Currently, I
would like to reduce emissions by 15 pounds of pollutant per day. At this level, what is the marginal average daily cost of
reducing emissions to 16 pounds of pollutant per day? What is the average daily cost at this reduction level? Is the
average daily cost increasing or decreasing at this reduction level? With the government subsidy, what would be our
average daily cost for reducing emissions by 15 pounds of pollutant per day? The government would like us to reduce
emissions by 20 pounds of pollutants per day. Could we accomplish this with no cost to us? If not, at what reduction level
would we have no cost to us? What do you recommend? I would like you, Mr. Kleppin, to give the interns a chance to
earn one of the 10 available positions at the end of their internship by giving them the opportunity to do the analysis.”
As per the given information about that Mr. Howell the prestigious founder and owner of our company Coal is Gold Electricity:-
POUNDS FC SQ. OF POUNDS TVC TC AC SUBSIDY
1 100 1 30 130 130.0 500
2 100 4 120 220 110.0 1000
3 100 9 270 370 123.3 1500
4 100 16 480 580 145.0 2000
5 100 25 750 850 170.0 2500
6 100 36 1080 1180 196.7 3000
7 100 49 1470 1570 224.3 3500
8 100 64 1920 2020 252.5 4000
9 100 81 2430 2530 281.1 4500
10 100 100 3000 3100 310.0 5000
11 100 121 3630 3730 339.1 5500
12 100 144 4320 4420 368.3 6000
13 100 169 5070 5170 397.7 6500
14 100 196 5880 5980 427.1 7000
15 100 225 6750 6850 456.7 7500
16 100 256 7680 7780 486.3 8000
17 100 289 8670 8770 515.9 8500
18 100 324 9720 9820 545.6 9000
19 100 361 10830 10930 575.3 9500
20 100 400 12000 12100 605.0 10000
Here, FC = Fixed Cost
TVC = Total Variable Cost
TC = Total Cost
AC = Average Cost
(i) Marginal Cost of a 16-pound reduction in emissions = 7680 - 6750
= $930
(ii) Average Price at a decline of 15-pound = 6850 / 15 = $456.67
( Every additional unit results in an increase in Variable Cost per unit. The Average Cost will thus rise as the amount increases. )
(iii) Since our expenses are less than the subsidies in pounds (15), there will be no net cost.
(iv) It will cost us $12,000 to maintain the decrease level at 20 pounds, of which the corporation may recoup $10,000. Thus, the final price will be $2100.
(v) Break Even can be calculated between 16-17 pounds (You can refer to the table for the clarifications)
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You want to buy a $193,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest.
Answer:
Down Payment = 5% of 168,000. You finance 95% of 168,000 which is the PV of your payments.
Use the same annuity formula as in your student loan question with monthly rate = 7%/12 and t=12*30 =360 months. That will give you your payment amount.
you will make 360 payments so total Payments = 360*pmt. Total Payments less principal = total interest paid.
Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
A case of 8 items costs $9.44 at Costco. What is the price of each item?
Answer: $1.18 per item
Step-by-step explanation:
9.44/8=$1.18 per item
Whatis the sum and classicalion of 3/20 + /10
Answer:
13 /20
Step-by-step explanation:
tou need to find LCM and do the process by your own
have data on the weights in grams of 5 baby pythons. Thè mèan weight is 3l.B and dre standard deviation of the r,veights is2.79. The correct units for the standard deviation are
We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79 . The correct units for the standard deviation is Grams.
According to the question statement, We have data on the weights in grams of 5 baby pythons. Their mean weight is 31.8 and the standard deviation of the weights is 2.79.
The correct units for the standard deviation is Grams because the unit of standard deviation is the unit of simple data and the unit of variance is the square of the simple data unit.
And as we know the unit of weight is Grams only hence we conclude that Grams is the correct unit of standard deviation.
Standard Deviation: Abbreviated as SD and standard deviation is a measure of the amount of variation of a set of values. A low standard deviation indicates that the values tend to be close to the mean (expected value) of the set, while a more or high SD indicates that the values are spread out over a wider range.To learn more about standard deviation, click on the given link below
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If f(1)=1 and f(n)=4f(n-1) what is the value of f(4)?
Answer:
64
Step-by-step explanation:
You have the recursive formula f(1)=1; f(n)=4f(n-1) and you want f(4).
RecursionThe value of f(4) can be found a couple of ways. Perhaps the simplest is to compute the first 4 terms of the sequence using the recursive formula.
f(1) = 1
f(2) = 4·1 = 4
f(3) = 4·4 = 16
f(4) = 4·16 = 64
The value of f(4) is 64.
Explicit formulaThe multiplying factor of 4 on the previous term tells you this is a geometric sequence with a common ratio of 4. The explicit formula is then ...
f(n) = f(1)·r^(n-1) . . . . . n-th term of sequence with common ratio r
f(n) = 1·4^(n-1) . . . . . . formula for f(1)=1 and r=4
For n=4, this is ...
f(4) = 1·4^(4-1) = 4^3
f(4) = 64
A car rental agency advertised renting a car for $26.95 per day and $0.33 per mile. If Greg rents this car for 3 days, how many whole miles can he drive on a $200 budget?
Answer: 361 miles
Step-by-step explanation: 26.95x3=80.85
200-80.85=119.15
119.15/0.33
=361.06
please help me with this input output.
Answer:
Step-by-step explanation:
IT WOUKF BE
Chris is studying a type of coral that grows at a constant rate. They measured the age and height of 3
pieces of the coral. Here's what they found:
The equation is; y = 7/2x
What is the equation?We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c
The first thing that we must do is to obtain the slope of the graph from;
m = y2 - y1/x2 x1
m = 45 - 15/6 - 2
m = 7/2
The graph begins at origin hence c = 0
y = 7/2x
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I dont understand the problem i think it's 4.5 but i dont know
Answer:
probably 4.5
"Step-by-step explanation:
To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve
2.5 + 1.75 + (-3.3) + (-1.4) + x = 0
This gives us x = 0.45 in thousands.
Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even."
As indicated below, write the equations of the line passing through the point (2, 4) and parallel to the line whose equation is y = x. Complete your work in the space provided. Part 1: Point-Slope form of the linear equation Part 2: Slope-intercept form of the linear equation Part 3: The general form of the linear equation
Part 1
[tex]y-4=x-2[/tex]
Part 2
[tex]y=x+2[/tex]
Part 3
[tex]x-y+2=0[/tex]
Point P is located 2/5 of the distance from A to E. Point P is located at (-1, -1) and point A
is located at (-7, 5). What are the coordinates of point E?
The coordinates of point E is (-37/7, 23/7)
Calculating the midpoint of a line using a ratioThe formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:
E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}
Substitute the coordinates and ratios to have;
E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}
E(x, y) = {-35-2/7, -2+25/7}
E(x, y) = (-37/7, 23/7)
Hence the coordinates of point E is (-37/7, 23/7)
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Argyle wants to make T-shirts for
students. Customink is willing to offer a
deal with the school that each shirt will
cost $5 plus a $50 fee for each shirt color.
Argyle wants to make a teal and a purple
shirt.
Answer:
$105
Step-by-step explanation:
$5 initial cost + $50 (teal shirt) + $50 (purple shirt)
4 is subtracted from the square of a number.
Answer: x^2-4
Step-by-step explanation: I can only assume that is the answer given the limited prompt. Please comment and let me know if that is the desired answer or if you need more help. (X = a number ^2 = squared -4 = 4 is subtracted)
What is the answer to -5 - 7.
Answer:
it is negative 12
Step-by-step explanation:
-12
Answer:
-12
Step-by-step explanation:
The graph of y=x^3-2x^2-3x is shown in Figure 1. Based on the graph, what do you think are the solutions of the equation x^3-2x^2-3x=0? Confirm that your values are solutions by substituting them in place of x in the equation x^3-2x^2-3x=0 to see that you get a true statement.
The solutions to the given equation are x = -1, x = 0 and x = 3
Graph of Cubic EquationFrom the question, we are to determine the solution of the given equation.
The given equation is
x³ -2x² -3x = 0
The graph of the function y = x³ -2x² -3x is shown below
The solutions of the equation x³ -2x² -3x = 0 are the values where the graph cuts the x-axis
From the graph, we can observe that
The curve cuts the x-axis at x = -1, x = 0 and x = 3
Hence, the solutions to the given equation are x = -1, x = 0 and x = 3
Testing the solutions
For x = -1
x³ -2x² -3x = 0
(-1)³ -2(-1)² -3(-1) = 0
-1 -2(1) +3 = 0
-1 -2+3 = 0
-3+3 = 0
0 = 0
For x = 0
x³ -2x² -3x = 0
(0)³ -2(0)² -3(0) = 0
0 - 0 - 0 =0
0 = 0
For x = 3
x³ -2x² -3x = 0
(3)³ -2(3)² -3(3) = 0
27 -2(9) - 9 = 0
27 -18 - 9 = 0
0 = 0
Since, all the statements are true, then values are solutions of the equation.
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solve for x. 2/2+x=1/x+5
Answer:
Step-by-step explanation:
its 8 duh jk its your mom XD
Monday
Ms. Paulsen had 80 paper clips in her desk drawer. She used 39 of them on
papers.
How
many paper clips does Ms. Paulsen have in her desk drawer now?
S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie
Answer:
Step-by-step explanation:
We would substitute in 3 for r and 5 for h
s = 2[tex]\pi[/tex](3 + 5)
s = 2[tex]\pi[/tex]8
2 = 16[tex]\pi[/tex]
Two more than the quotient of a number and 9 equals 5
In linear equation , the quotient of a number n= 27
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.2 + N/9 = 5
N/9 = 5 - 2
N/9 = 3
N = 9*3
N=27
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ASAP help will mark you brainliest 5 likes
f(x)=1f ( x ) = 1 ,
f(x)=x+1f ( x ) = x + 1 ,
f(x)=x−1f ( x ) = x − 1 ,
f(x)=−1
Distributive Property and Combining Like Terms WS2
Objective
To simplify algebraic expressions using the distributive property.
Simplify
1. 4(3x+1) 12x+4
2. −5(5x−4)
3. -(2x-1)
I need to know the answer
The equivalent expressions of the given expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1How to simplify the algebraic expressions using the distributive property?The expressions are given as
4(3x + 1)-5(5x − 4)-(2x - 1)The distributive property stated that
a(b + c)= ab + ac
Using the above as a guide, the equivalent expressions are
4(3x + 1) = 12x + 4-5(5x − 4) = -25x + 20-(2x - 1) = -2x + 1Read more about distributive property at
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Determine the value of c in the diagram. C 50°
Answer: 10
Step-by-step explanation:
The value of C is 10, because if 50° was in half, it would been 10 and 5.
What is the solution to this equation
2(40-5y)=10y+5(1-y)
Answer:
The Answer is y=5.
Step-by-step explanation:
Firstly, multiply what is outside of the parentheses into the parentheses.
2(40-5y)=10y+5(1-y) --> 80-10y=10y+5-5y
Combine like terms
80-10y=5y+5
Add 10y
80=15y+5
Subtract 5
75=15y
Divide by 15
y=5
The solution to the equation is 5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2(40-5y)=10y+5(1-y)
Now, solving
80 - 10y = 10y + 5 - 5y
80 - 5 = 10y - 5y + 10y
75 = 20y- 5y
75 = 15y
y= 75/15
y= 5
Hence, the solution is 5.
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Guys I need help pls tell me the remainder too
Answer:
0.12245454545 (Quotient = 0 Remainder = 2.694)
Step-by-step explanation:
Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694
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if x² = √16 = x
true or false?
Step-by-step explanation:
it is true
the square root of 16 is 4
Water flows from the hose at a rate of 20 gallons per minute into an enormous swimming pool. How long does it take to fill the swimming pool shown? (Hint: It takes about 14 gallons of water to fill 1 cubic foot.)
Answer: please provide info
Step-by-step explanation:
There is no information provided of the swimming pool's depth, length or width.
However, to solve this, just find depth x length x width
then, take that answer and divide it by 20.
write an equation that is parallel to y=-5/2x-5
A parallel equation (when graphed) will have the same slope, but a different y-intercept.
As long as you keep y = -[tex]\frac{5}{2}[/tex]x + b, you can input anything for b to solve this question.
Given:
y = -[tex]\frac{5}{2}[/tex]x - 5
Equation of a parallel line:
y = -[tex]\frac{5}{2}[/tex]x + 6, y = -[tex]\frac{5}{2}[/tex]x + 1,356, y = -[tex]\frac{5}{2}[/tex]x - 8, etc
Example answer you can use:
y = -[tex]\frac{5}{2}[/tex]x - 8
