Answer:
1.75
Step-by-step explanation:
Finding average rate of change :
A(x) = 42.7 - 35.7 / 1992- 1988A(x) = 7/4A(x) = 1.75The average rate of change for P between 1992 and 2000 is -1.025.
What is Average rate of change?The average rate at which one quantity changes in relation to another is known as the average rate of change function.
It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.
Average rate of change for a function 'f' in the interval [a, b] is,
A = f(b) - f(a) / (b-a)
So, the Average rate of change
= P(2000) - P(1992) / (2000 - 1992)
= (34.5 - 42.7) /(2000 - 1992)
= -8.2 / 8
= -1.025
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Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases. The demand for Model Z is estimated as D(p) = 180 + 10q - 4p, where p is the price of Model Z. Consider the following two statements: 1. If the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X 2. If the average gasoline price q increases by $1, the demand at the revenue- maximizing price (i.e., D(p*)) increases by a factor of Y What is X/Y?
The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
What is a mathematical model?A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.
The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.
The demand for Model Z is estimated as
[tex]D(p) = 180 + 10q - 4p[/tex]
Here, p is the price of Model Z.
Consider the following two statements:
1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.[tex]D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)[/tex]
2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.[tex]D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\[/tex]
Put the value of demand at the revenue-maximizing price as,
[tex]Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}[/tex]
Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.
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A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day; however, he made only two cuts. How did he do this?
A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.
What is Algebra?Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A king decided to pay a knight one inch of gold for each day's protection on a 6-day trip. The king took a gold bar 6 inches long and paid the knight at the end of each day.
The gold is divided into 2 parts.
First at the 1-inch mark, then the second mark will be
For the second mark, there are two conditions.
Condition 1 = mark can be made at 4 inches, then the next piece will be of 2 inches.
There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.
Condition 2 = Mark can be made at 5 inches, then the next piece will be of 1 inch.
There will be a total of three pieces of 3 inches, 1 inch, and 2 inches.
The division is shown below.
The king will take 1 inch back from the knight and give him 2 inches.
According to the condition = A king gives 1 inch per day to the knight as there are three pieces of length 1, 2, and 3 inches.
So on the first day, 1 inch will be given. On the second day, he will give 2 inches and take 1 inch. On the third day, he will give 3 inches and take back 2 inches. On the fourth day, he will give 1 inch. On the fifth day, he will give 2 inches and take back 1 inch. On the sixth day, he will give 1 inch.
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Compare 4 and -2. Which of the following is true?
Answer:
Your answer is A.
Step-by-step explanation:
Absolute values of any number are positive.
|4| = 2
|-2| = 2
2 = 2 and 4 > -2
C and D can be true, but they are not since less than or greater than doesn't apply if they were less than/greater than or equal, then yes.
A race course is 26.2 miles long. Of the entire race course, 5% is uphill. How many miles of the race course are uphill?
Answer:
1.31 miles of the race course are uphill
Step-by-step explanation:
Divide 5 × 26.2 miles by 100 and you'll get 1.31 miles.
Hope this helped :)
Solve for in each of the following statements. ( is the smallest positive integer to make each statement true.)
5+43≡ 9
18 − 12÷3≡ 5
3+5≡0 11
There is no variable unfortunately
We have to change question little bit
#1
5+43=9x9x=48x=48/9#2
Rest are also meaningless as there is no variable
#3
(3+5)x=0.118x=0.11x=0.11/83X minus 2Y is equal to or greater than or equal to four
Answer:
3x- 2y
Step-by-step explanation:
its defintly not = to four because you cant subtract two diffrent varibles so it should be less then
To rationalize a denominator that has more than one term, you multiply the
fraction by B+ B, where B is the conjugate of the denominator.
Answer:
False.
Explanation:
To rationalize a denominator that has more than one term, you multiply the fraction by [tex]\frac{b}{b}[/tex], where "b" is the conjugate of the denominator not the numerator.
false
you multiply both the denominator and the numerator not just the fraction.
Find the volume of a bird seed box with the following dimensions:
h = 26 cm
W = 10 cm
I = 17.5 cm
Hello, help me please with explanation)
Answer:
hope this will help you sorry if the answer is wrong
How do you simplify this problem?
Answer:
x/y.
Step-by-step explanation:
Deal with each number or letter at a time:
3 / 3 = 1
x^3/x^2 = x
y^4 / y^5 = y^-1 = 1/y
z / z = 1
So the answer is 1*x * 1/y * 1
= x/y.
Based on the picture below what would the genotypes of the parent plants be? Use the other questions to help you answer this.
Thank you so much.
Answer:
ant sorry you no entendía
Determine all missing angles below.
Answer:
a = 60, b = 19, c = 101, d = 79, e = 50
Step-by-step explanation:
Relations that are helpful here are ...
vertical angles are congruentan exterior angle is equal to the sum of the opposite interior anglesthe sum of angles forming a straight angle is 180°the sum of angles in a triangle is 180°__
Using these relations, we can find the unknown measures.
a° = 60° . . . . . these are vertical angles
51° +b° +110° = 180° ⇒ b° = 180° -161° = 19° . . . . straight angle
a° +b° +c° = 180°
c° = 180° -60° -19° = 101° . . . . sum of angles in a triangle
d° = 180° -101° = 79° . . . . . straight angle
e° = c° -51° = 50° . . . . . c° is exterior to the triangle
A water park has pools, slides, and rides
that, in total, make use of 4.6 x 10^5
gallons of water. They plan to add a ride
that would make use of an additional
6.7 x 10^4 gallons of water. Use scientific
notation to express the total gallons of
water made use of in the park after the
new ride is installed.
Answer:
5.27×10^5 gallons
Step-by-step explanation:
Adding numbers in scientific notation requires that their powers of ten match. Here, we can rewrite the smaller number so its power of ten matches that of the larger number.
__
4.6×10^5 +6.7×10^4
= 4.6×10^5 + 0.67×10^5
= 5.27×10^5
The park will use 5.27×10^5 gallons of water after the new ride is installed.
__
This kind of calculation can be done easily by your scientific calculator or a spreadsheet. You may have to set the display mode to scientific notation.
y=-x-3
y=4x-5
2x-y=-2
x+y=4
3x+4y=-12
Y'ALL I NEED SOME SERIOUS HELP, ANYBODY KNOW THE ANSWERS?
Answer: Heyaa! :)
1. y=-x-3 = -1Slope: −1
y-intercept: (0,−3)
2. y=4x-5 = 4Slope: 4
y-intercept: (0,−5)
3. 2x-y=-2 = 2Slope: 2
y-intercept: (0,2)
4. x+y=4 = 1Slope: −1
y-intercept: (0,4)
5. 3x+4y=-12 = - 3/4Slope: −3/4
y-intercept:
(0,−3)
Hopefully this helps you!
- Matthew
Reid, the second-place finisher, developed a cramp with 3 tenths of the race remaining. How many miles did Reid run without a cramp?
Answer:
He ran .7 miles without a cramp
Step-by-step explanation:
Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.
Answer:
It would be a 3/10 or 30% chance.
Answer:
Step-by-step explanation:
3/10 or .30 or30%
∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.
∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'
(x,y) → (x+5,y)
(x,y) → (5x,5y)
(x,y) → (.5x,.5y)
(x,y) → (x,-y)
(x,y) → (-x,-y)
For reference you can look at the attachment
I have taken three points (1,1),(2,1),(3,3)Then converted them accordingly
#1(Graph 2)
Yes#2(Blue dots on graph 1)
NoThey are similar but not equal
#3(Purple dots)
NoSimilar but not equal
#4(Green dots)
Yes#5(Black dots)
YesIf cos43=p, determine.without the use of a calculator,the value of each of the following in terms of p
We need to calculate the value of cos(43) to determine the value of p
How to evaluate the expression?The equation is given as:
cos43 = p
Rewrite properly as:
cos(43) = p
Rewrite the equation as:
p = cos(43)
The above means that we simply calculate the value of cos(43) to determine the value of p
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What are the solutions to the following system?
-2x² + y = -5
y=-3x² +5
O (0, 2)
O (1,-2)
o o (12,-1) and (-√2-1)
(
o (V5,-10) and (-15.-10)
The solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have given expressions:
-2x² + y = -5 ..(1)
y=-3x² +5 ...(2)
From the equation (2) take the value of y and plug it in the equation (1)
-2x²-3x²+5 = -5
-5x² = -10
x = ±√2
Plug this value in the equation (2), we get value of y:
y = -1
Thus, the solutions to the equation -2x² + y = -5 and y=-3x² +5 are (√2,-1) and (-√2-1) option third is correct.
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Can anyone please solve this for me right now?
The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
A=a×b
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,
A=a×b
884=(26+2x)×(18+2x)
884=468+52x+36x+4x²
4x²+88x-416=0
Divide both side with 4,
x²+22x-104=0
x²+26x-4x-104=0
x(x+26)-4(x+26)=0
(x+26)(x-4)=0
x=-26,4
Take the positive value 4. The width of the path is equal to x which is 4 meters.
Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
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help will mark Brainliest
Explain the meaning of the scale 1 :2.5
Tge length of the front page is 30 centimeters and the width is 20 centimeters the side length picture is 7 centimeters
Answer:
A model of a shopping centre is drawn to scale where 1 cm on the model represent 4 m on the ground. Music shop Thabo's Sports Ware Fati's Clothing shop Grocery store PARKING Coffee shop Toilets Restaurant Shoe store Physiotherapy Health and Fitness center 1.1 Which shop is on the right of the physiotherapy? (2) 1.2 Describe the position of the Coffee Shop in relation to the Toilets. (2)
What is the length of the two equal sides?
What is the length of the third side?
Answer:
Two equal sides: 15 centimeters, Third side: 21 centimeters
Step-by-step explanation:
Sorry If I'm late, so how I solved this was by using variables and algebra. The perimeter of a triangle is the sum of all three sides. Let's now break down the problem and use the useful information, we know that the perimeter is 51 centimeters, and that there are two equal sides and the third side is 6 inches longer than the two equal sides. So it is pretty much an isosceles triangle since it has two sides of equal length and the third side is not equal to the others. So we can make an equation with variables. 51(Perimeter)=x(first equal side)+x(second equal side)+x(third side)+6(The third side is 6 centimeters longer than the two other sides), now we simplify the equation just like we do with most algebraic equations. x+x+x can be turned into 3x. This now makes the equation 51=3x+6, we can subtract 6 from both sides to just have the variable on one side, 3x+6-6, both sixes cross out making it 3x, 51-6 is equal to 45. Now we divide by three on both sides to give just x and find out what x is. 3x/3=x and 45/3=15. x=15, x is the equal side length, so the two equal sides are 15 centimeters and the third one is 21 centimeters. The reason for this is because 15+6=21. I hope this helped with your learning, if I am wrong please tell me :)
Could you help me with this for 50? points.
Identify the steps for proving ADDC.
A. 1. BD BD by the reflexive property
2. AABD=ACBD by SAS
3. ADDC by CPCTC
B. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by SAS
3. ADDC by CPCTC
C. 1. BD BD by the reflexive property
2. AABD = ACBD by CPCTC
3. ADDC by SAS
D. 1. BD BD by definition of an isosceles triangle
2. AABD = ACBD by CPCTC
3. ADDC by SAS
Please show work and thank you
Answer:
x = 6
Step-by-step explanation:
A 45-45-90 isosceles right triangle has side lengths in the ratios ...
1 : 1 : √2
__
That is, the longest side (marked x in this figure) is √2 times the length of the other two equal-length sides.
x = (√2)×3√2 = 3×2
x = 6
please help me do my mathematics assignment experts
Step-by-step explanation:
try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.
1. Kyle put $300 of his birthday money in the bank. The bank offers an annual interest rate of 4%, compounded twice a
year. How much money will Kyle have after three years?
Answer:
300(1 + 0.04/2)3(2) = $337.85
Step-by-step explanation:
Find the slope of a line parallel to -3x+7y=-15
Answer:
[tex] \boxed{\rm \: Slope = 3/7 \: x}[/tex]
Step-by-step explanation:
Given :
3x+7y=-15To Find:
The slopeSolution:
Well,to find out the slope of the line here, we'll need to re-write the fully solved equation into slope - intercept form.
[tex] \boxed{ \rm \: y = mx = b}[/tex]
Here,
m = slopeb = y - intercept.[Add 3x to both sides to the original equation:]
[tex] \rm \: 7y = - 15 + 3x[/tex]Divide each term in this equation by 7:
[tex] \cfrac{7y}{7} = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex][tex] \rm \: y = \cfrac{ - 15}{7} + \cfrac{3x}{7} [/tex]Now rewrite this equation into slope-intercept form.
[tex]y = mx + b[/tex]Plug values.
[tex]y = \cfrac{3x}{7} - \cfrac{15}{7} = \cfrac{3}{7} x - \cfrac{15}{7} [/tex] > So , y - intercept is 15/7> Slope m is 3/7 x.Hence,we can conclude:
The slope of the line parallel to -3x+7y=-15 is 3/7 x.[tex] \rule{225pt}{2pt}[/tex]