Answer:
(a)20
(b)Elastic
(c)8
(d) Elastic
Step-by-step explanation:
Elasticity of demand(E) indicates the impact of a price change on a product's sales.
The general formula for an exponential demand curve is given as:
[tex]y=ae^{-bp}[/tex]
Given the demand curve formula
[tex]q=f\left(p\right)=200e^{-0.4p}[/tex]
The formula for Elasticity of demand, E
[tex]E = -\dfrac{p}{q}\dfrac{\text{d}q}{\text{d}p}[/tex]
(a)When Price, p = $50
p=50
[tex]q=200e^{-0.4*50}=200e^{-20}[/tex]
[tex]\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}[/tex]
Therefore:
[tex]E = -\dfrac{50}{200e^{-20}}*-80e^{-0.4*50}\\=\dfrac{1}{4e^{-20}}*80e^{-20}\\\\E=20[/tex]
(b)At p = $50, Since elasticity is greater than 1, the demand is elastic.
An elasticity value of 20 means that a 1% increase in price causes a 20% decrease in demand.
(c)At p=$20
p=20
[tex]q=200e^{-0.4*20}=200e^{-8}[/tex]
[tex]\dfrac{\text{d}q}{\text{d}p}=-0.4*200e^{-0.4p}=-80e^{-0.4p}[/tex]
Therefore:
[tex]E = -\dfrac{20}{200e^{-8}}*-80e^{-0.4*20}\\=\dfrac{1}{10e^{-20}}*80e^{-20}\\\\E=8[/tex]
(d)At p = $20, the demand is elastic.
An elasticity value of 8 means that a 1% increase in price causes a 8% decrease in demand.
The Lylian is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results could be analyzed with a formal hypothesis test with the alternative hypothesis of p > 0.5, which corresponds to the claim that the method increases the likelihood of having a girl, so that the proportion of girls is greater than 0.5. If you have an interest in establishing the success of the method, which of the following P-values would you prefer and Why?
a. 0.999
b. 0.5
c. 0.95
d. 0.05
e. 0.01
f. 0.001
Answer:
[tex] p_v =P(z>z_{calc}) [/tex]
In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:
f. 0.001
Step-by-step explanation:
We need to conduct a hypothesis in order to test the claim that one of several methods claimed to increase the likelihood of a baby girl so then the system of hypothesis are:
Null hypothesis:[tex]p\leq 0.5[/tex]
Alternative hypothesis:[tex]p > 0.5[/tex]
When we conduct a proportion test we need to use the z statisitc, and the is given by:
[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)
The p value for this case is given by:
[tex] p_v =P(z>z_{calc}) [/tex]
In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:
f. 0.001
If A={3,6,9,12 }and B={0,4,8,12}, then find A∩B. *
Answer:
{12}
Step-by-step explanation:
[tex]A= \{3,6,9,12\} \\ B= \{0,4,8,12 \} \\ A \: \cap \: B = \{12\} [/tex]
The sum of two irrational numbers is _____ a rational number. Which word correctly fills in the blank to create a true statement?
A) always
B) never
C) sometimes
Answer:
C.) Sometimes
Step-by-step explanation:
The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational.
The word that correctly fills the blank is sometimes, the correct option is C.
What is a Rational Number ?Rational Numbers are numbers that can be written in the form of p/q, q≠0.
The sum of two irrational number is sometimes a rational number.
For example the summation of the irrational number with its additive inverse, the sum will be 0, which is a rational number and a whole number.
Therefore, the word that correctly fills the blank is sometimes, the correct option is C.
To know more about Rational Number
https://brainly.com/question/17450097
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Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60 per month
Answer:
whats the question?
Step-by-step explanation:
Mrs. Lowery wants to make as many 3-ounce baggies of almonds as she can. She has an open jar of almonds with 10 ounces left. She also has a full 16-ounce jar of almonds.
Mrs. Lowery will have ＿＿＿ounces of almonds left over.
The rectangular prism is made of 1-inch cubes.
If two more layers of cubes are placed on top of the rectangular prism, how many more cubes are
added to the prism?
What would be the volume of the new rectangular prism?
UZU
Z77-ULZ|
UZZIUZ
FI/ UUUUU
/307111700ZZWJZ13
777777
AHHOZZU
N
NI
3 in.
more cubes are added to the prism.
The volume of the new rectangular prism is
Answer:
Additional cubes added to the rectangular prism= 72cubes
Volume of new rectangular prism = 108in³
Step-by-step explanation:
The question is incomplete without the diagram and not clear to understand.
Let's determine how to find answers to the above using the following:
The diagram used for solving the question has been attached.
From the diagram, the base of the rectangular prism has length =6inches and width = 6inches
Height = 1inch
If 2more layers are added, then height becomes 3inches sinch the two additional layer has same dimensions as the base.
The bottom layer has 6 by 6 dimension
Area = 6×6 = 36in²
Since 1 cube = 1 inch
Number of cubes in the base = 36cubes
Since two layers were added, Additional cubes added to the rectangular prism = 2×36 = 72cubes
Volume of rectangular prism = length×breadth×height
= l×b×h
dimension of new rectangular prism
Length = 6in
Breadth = 6in
Height = 3in
Volume of new rectangular prism = 6×6×3
Volume = 108in³
Solve the formula d = rt for r
Answer: r=d/t
Step-by-step explanation:
This is an equation manipulation problem. Since you are looking for r, you want to get it alone. To do so, you would divide t on both sides. Therefore, you get r=d/t.
I'm very confused as to what the pattern even is, to me I just see a bunch of shapes and numbers. Could any of you help?
The total surface area of this cuboid is 112 cm,
Find the value of x.
X cm
2 cm
10 cm
Answer:
x=3
Step-by-step explanation:
The life cycle of a darkling beetle is shown here. Which stage represents the change from larva to adult?
[tex]1 + 1[/tex]
Answer:
D
Step-by-step explanation:
The diagramatic representation of the life cycle of a darkling beetle is shown in the attached file below.
The metamorphosis of the darkling bettle takes four stages:
egg → larva → pupa→ adult
After laying the eggs by an adult darkling bettle, the eggs are encased in a fluid-like covering to prevent it from damage as a result of environmental factors. The egg metamorphosize into the larva stage; a period of feeding and growth. They then in turn proceed into the pupa stage where they are being enclosed in a cocoon. In the cocoon, they undergo modifications and become sexually matured before they enters into adulthood.
Thus, the stage that represent the change fromm larva to adult is the pupa stage and it is shown in the diagram as option D
A missiles is fired at a target and the probability that the target is hit is 0.7 . Find how many missiles should be fired so that the probability that the target is not hit is less than 0.001 .
Answer:
(C)
Step-by-step explanation:
We want the probability of at least one hit in
missiles to be at least 80%.
An animal shelter needs to find homes for 40 dogs and 60 cats. If 15% of the dogs are female, and 25% of the cats are female, what percent of the animals are female?
Someone please answer.... I really need this
I will give brainliest. PLEASE HELP!!!
Answer:
21% of the animals are female
Step-by-step explanation:
In total:
There are 40 + 60 = 100 animals.
Female animals.
40 dogs. Of those, 15% are female. So 0.15*40 = 6.
60 cats. Of those, 25% are female. So 0.25*60 = 15.
21 female animals.
21/100 = 0.21 = 21%
21% of the animals are female
Given: g(x) = Square Root of x - 4 and h(x) = 2x - 8. What are the restrictions on the domain of gxh? x is greater than or equal to what?
[tex]g(x) = \sqrt{x - 4}[/tex]
[tex]h(x) = 2x - 8[/tex]
g x h = [tex]\sqrt{x-4}.(2x-8)[/tex]
Looking at the equation we know that there's no way to have a negative root, so we need x - 4 to be greater than or equal to 0
[tex] x - 4 \geq 0[/tex]
[tex]x \geq 4[/tex]
Answer:
It's 6
Step-by-step explanation:
The rectangular floor of colbys room is 9 feet long and 6 feet wide. What is the area of the floor
Answer:
54 ft^2
Step-by-step explanation:
The area is the product of length and width:
A = LW = (9 ft)(6 ft)
A = 54 ft^2
The area of the floor is 54 square feet.
Answer:
area of the rectangular floor = 54 ft²
Step-by-step explanation:
The area of a rectangle is the product of the length and width. The floor is rectangular therefore the area of the floor can be calculated by using the area of a rectangle.
area of the rectangular floor = length × width
length = 9 ft
width = 6 ft
area of the rectangular floor = length × width
area of the rectangular floor = 9 × 6
area of the rectangular floor = 54 ft²
Imagine the United States only had two postage stamps, a 3 cent stamp and a 7 cent stamp. If you can put any number of stamps on an envelope that you want, what amounts of postage can and cannot be paid for?
Answer:
not possible: 1, 2, 4, 5, 8, 11possible: all othersStep-by-step explanation:
Obviously, all multiples of 3 and 7 can be paid.
1 cent can be added by adding a 7-cent stamp and taking away two 3-cent stamps. 2 cents can be added by adding three 3-cent stamps and taking away one 7-cent stamp. Hence any value more than 7 +2(3) = 13 cents can always be accommodated.
Amounts that are impossible:
1, 2, 4, 5, 8, 11 cents
All other positive integer amounts are possible.
Members of a public speaking club are competing to see who can recite a speech fastest. Who speaks the most words per minute?
Bailey
Gail
Naomi
Wade
Answer:
Wade
Step-by-step explanation:
Wade equals to 165
Naomi equals to 112
Gail equals to 123
And bailey equals to 150
What is 719 ÷ 47
I don't know the answer so I will keep on typing untill it reached 20 words:)
Answer:
719/47 is 15.29787234
2)
Simplify -2(x + 4) + 5x + 10
First distribute through the set of parentheses.
When we distribute, we multiply the number outside
times each of the terms located inside the set.
So we have -2(x) + -2(4) or -2x - 8.
Now we have -2x - 8 + 5x + 10.
Combine like terms → your numbers and your "x" terms.
-2x + 5x is 3x and -8 + 10 is 2.
So we have 3x + 2.
3x + 2 cannot be simplified any further.
How many fluid ounces are there in 5 quarts?
Answer:
160
Step-by-step explanation:
So there are 32 ounces in a quart.
32 * 5 = 160
Answer:160 fluid ounces :)
Step-by-step explanation:
What’s the correct answer for this?
Answer:
PO = 36
Step-by-step explanation:
Since both the chords are equal in length so they must be equidistant from the centre.
And
PG = GO
-x+10 = -3(x+2)
-x+10 = -3x-6
-x+3x = -6-10
2x = -16
Dividing both sides by 2
x = -8
Now
PO = PG + GO
PO = -(-8)+10+(-3)((-8)+2)
PO = 8+10+(-3)(-6)
PO = 18+18
PO = 36
What equation can be solved to find one of the missing side lengths of a triangle?
Answer:
Step-by-step explanation:
1 find out what kind of its is
if its equivelent you might use 60 as thee angles then find out
i need help on this. ive been struggling. TwT
lateral area
surface area
volume
Answer:
total surface area Stot = 753.9816 m2
lateral surface area Slat = 351.85808 m2
top surface area Stop = 201.06176 m2
bottom surface area Sbot = 201.06176 m2
Answer:
Lateral area = 352 Square m
Surface area = 756. 3 square m
Volume = 1408 cubic m
Step-by-step explanation:
[tex]lateral \: area = 2\pi \: rh \\ = 2 \times \frac{22}{7} \times \frac{16}{2} \times 7 \\ = 22 \times 16 \\ = 352 \: {m}^{2} \\ \\ surface \: area = 2\pi \: r(h + r) \\ = 2 \times 3.14 \times 8(7 + 8) \\ = 6.28 \times 8 \times 15 \\ = 6.28 \times 120 \\ = 756.3 \: {m}^{2} \\ \\ volume = \pi {r}^{2} h \\ = \frac{22}{7} \times {8}^{2} \times 7 \\ = 22 \times 64 \\ = 1408 \: {m}^{3} \\ [/tex]
What is the product x^2-16 over 2x+8 • x^3-2x^2+x over x^2+3x-4
Answer:
[tex]\dfrac{x^3-5x^2 +4x}{2x+8}[/tex]
Step-by-step explanation:
The basic idea is to factor each expression and cancel common factors from numerator and denominator.
[tex]\dfrac{x^2-16}{2x+8}\cdot\dfrac{x^3-2x^2 +x}{x^2+3x-4}=\dfrac{(x-4)(x+4)}{2(x+4)}\cdot\dfrac{x(x-1)^2}{(x+4)(x-1)}\\\\=\dfrac{(x-4)x(x-1)}{2(x+4)}\cdot\dfrac{(x+4)(x-1)}{(x+4)(x-1)}\\\\=\boxed{\dfrac{x^3-5x^2 +4x}{2x+8}}[/tex]
Brainliest to whoever gets this correct What was the equation of the graph below before it was shifted to the right 1.5 units?
9514 1404 393
Answer:
(c) G(x) = x³ -x
Step-by-step explanation:
Replacing x with x+1.5 will shift the graph back left by 1.5 units.
G(x) = ((x +1.5) -1.5)³ -((x +1.5) -1.5)
G(x) = x³ -x . . . . . . equation of graph before shift right
18. El equipo de docentes del Área de Formación Humanística decide repartir 195 ejemplares de libros de lectura a 4 estudiantes clasificados previamente por méritos propios. Pero el reparto se hará tomando en cuenta las inasistencias a las clases durante el primer ciclo. ¿Cuántos libros recibe cada estudiante si sus inasistencias han sido de 1; 2; 4 y 5 días, respectivamente?
Answer:
Each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.
Step-by-step explanation:
English Translation
The team of teachers from the Humanistic Training Area decides to distribute 195 copies of reading books to 4 students previously classified on their own merits. But the distribution will be made taking into account absences from classes during the first cycle. How many books does each student receive if their absences have been 1; two; 4 and 5 days, respectively?
Solution
Because the more the number of days absent, the less the number of books each of the 4 students deserve, we have to employ an elaborate scheme.
If 195 copies are distributed equally between 4 People, each person gets 48.75 copies of the books.
Now, if we add another 48.75 copies of books to the total number of books, each person gets 60.9375 books.
But, we can then divide 48.75 extra books on top according to the number of days absent and subtract each person's number from the assumed 60.9375 books, with an extra 48.75 books.
Total number of days absent = 1 + 2 + 4 +5 = 12
(48.75/12) = -4.0625 copies for each absent day.
The student with only 1 absent day gets 60.9375 - 4.0625 = 56.875 copies = 57 copies
The student with 2 absent days, gets = 60.9375 - (2×4.0625) = 52.8125 copies = 53 copies
The student with 4 absent days, gets = 60.9375 - (4×4.0625) = 44.6875 copies = 45 copies
The student with 5 absent days, gets = 60.9375 - (5×4.0625) = 40.425 copies = 40 copies
Hence, each of the students absent for 1, 2, 4 and 5 days get 57, 53, 45 and 40 copies of the the reading books respectively.
Hope this Helps!!!
If eight trash bags last for thirty days then twenty eight trash bags will last for how many days
Answer:
105 days
Step-by-step explanation:
30 divided by 8 to get the rate which equals 3.75
28*3.75= 105 days
If the sinA=3/5 and the cos=4/5 then what is tan A
Answer:
tanA = sinA / cosA = 3/5 / 4/5 = 3/4.
Express the solution of the following initial value problem in terms of an integral.
dy/dx = 2 + x, y(2 ) = -6
Answer:
[tex]y = 2x + \frac{x^2}{2} - 6[/tex]
Step-by-step explanation:
Solution:-
- We are given the following initial value problem:
[tex]\frac{dy}{dx} = 2 + x , y ( 2 ) = -6[/tex]
- We will first isolate the variables:
[tex]dy = ( 2 + x ).dx[/tex]
- Perform integration for both sides of the equation:
[tex]\int {dy} = \int {( 2 + x )}.dx + c\\\\y = 2x + \frac{x^2}{2} + c\\[/tex]
Where,
c: The constant of integration
- We will solve for the constant of integration by using the initial value y ( 0 ) = -6 as follows:
[tex]-6 = 2(0) + \frac{0^2}{2} + c\\\\c = -6[/tex]
- The final solution can be expressed as follows:
[tex]y = 2x + \frac{x^2}{2} - 6[/tex]
a country's population in 1993 was 94 million. in 1999 it was 99 million
Answer:
i dont get it
Step-by-step explanation:
Use the mapping to determine which of the following are elements of the range.
Name
Amy
Carol
Devon
Harrison
Jackson
Labron
Mason
Natalie
Paul
Sylvester
Birthday
January 5
January 7
February 24
March 1
April 7
May 30
July 20
August 1
November 13
November 26
Answer:
The elements of the range are the birthdays.
Step-by-step explanation:
A function is a distinct sort of relation in which each element of the domain is combined with precisely one element in the range. A mapping displays how the elements are combined.
A mapping figure comprises of two parallel columns. The 1st column signifies the domain of a function, and the other column for its range.
Lines or arrows are drawn from domain to range, to signify the relation between any two elements.
A function denoted by the mapping, in which each element of the range is combined with accurately one element of the domain is called one-to-one mapping.
From the diagram provided it is clear that the function denoted by the mapping is an one-to-one mapping.
The elements of the range are:
Birthday : {January 5 , January 7 , February 24 , March 1 , April 7 , May 30 , July 20 , August 1 , November 13 , November 26 }
Thus, the elements of the range are the birthdays.
Answer:
Amy
Devon
Labron
Step-by-step explanation:
