Answer:a-20miles
b-5miles
C-35 miles
Step-by-step explanation:
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x dollars per unit. Which of the following statements best interprets the average rate of change of this function from x = 50 to x = 55?
The profit increases by $375 for every $1 increase in the selling price.
The profit decreases by $375 for every $1 increase in the selling price.
The profit increases by $1875 for every $1 increase in the selling price.
The profit decreases by $1875 for every $1 increase in the selling price.
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:
[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)
Now we evaluate the function at each bound:
x = 50
[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]
[tex]P(50) = 11[/tex]
x = 55
[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]
[tex]P(55) = 9.125[/tex]
Then, the average rate of change is:
[tex]r = \frac{9.125-11}{55-50}[/tex]
[tex]r = -0.375[/tex]
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.
The profit function is given as:
[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]
Calculate P(x), when x = 50.
So, we have:
[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]
[tex]P(50) = 11[/tex]
Calculate P(x), when x = 55.
So, we have:
[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]
[tex]P(55) = 9.125[/tex]
The average rate of change from x = 50, to 55 is then calculated using:
[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]
So, we have:
[tex]m = \frac{9.125 - 11}{55-50}[/tex]
[tex]m = \frac{-1.875}{5}[/tex]
Divide
[tex]m = -0.375[/tex]
The function is in 1000 units.
So, we have:
[tex]m = -0.375\times 1000[/tex]
[tex]m = -375[/tex]
-375 implies a decrease of $375 for every $1 increase in sales
Hence, the correct statement is (b)
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Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
What is accounting? What is the role of accounting in values?
Answer:
Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."
Answer: Accounting is the process of recording financial transactions pertaining to a business.
Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.
pls give the answer
Answer:
It should be 245 m
Step-by-step explanation:
Separate it like this:
chop of the rectangle part and find the area of that and then add it to the trapezoid part
10*20 = 200.
Area of a trapezoid = 5+10/2 *6.
5+10 = 15. 1
5/2 = 7.5.
7.5*6 = 45.
45 + 200 = 245
In the 48 years between 1842, the average rate of erosion at horseshoe falls was 33 divided by 50 metre per year. In the 22 years between 1905 and 1927 the rate of erosion was 7 divided by 10 meter per year . Approximately how much total erosion occurred during these two time periods
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 meters
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 metersStep-by-step explanation:
Find the value of a. The diagram is not to scale.
Answer: B. a = 144 degrees
Step-by-step explanation:
180=36+a
144=a
Step-by-step explanation:
hope it's obvious both the reason is being cointerior angle
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The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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4x =64 find x in exponential equations
Answer:
X=16
Step-by-step explanation:
4/64
x=16
What is the square root for this numberZ
In ΔBCD, the measure of ∠D=90°, BC = 81 feet, and DB = 52 feet. Find the measure of ∠C to the nearest tenth of a degree.
Answer:
39.9°
Step-by-step explanation:
m∠C = β
sin β = [tex]\frac{52}{81}[/tex] ⇒ β = arcsin [tex]\frac{52}{81}[/tex] ≈ 39.9°
Answer:
39.9
Step-by-step explanation:
sinC=
sin C = \{52}{81}
sinC=
81
52
C=\sin^{-1}{52}{81})
C=sin −1 ( 81 /52 )
C=39.9393\ 39.9^
C=39.9393≈39.9∘
Please someone help me
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
Johanna can jog 3,000 feet in 5 minutes. If she jogs at the same rate, how many feet can she jog in 8 minutes?
Answer:
4800
Step-by-step explanation:
3000\5=600
600*8=4800
what is 2.99 x 0.6 in dollars and cents plz help:(
Answer:
the answer is 1. 794
Step-by-step explanation:
Answer:1.794 is the answer to you question.
Step-by-step explanation:
90 POINTS! PLEASE HELP!
Select the correct answer What is the solution for x in the equation 5/3 * x + 4 = 2/3* x Ο Α x = 12/7 OB B. x = -4 OC 12/7 OD x = 4
x=-4 hope it helps! good luck
Find the slope I’m sorry I need help with this one I’m finding the answer but don’t understand it sorry
Bailey is inviting people to her wedding and wants to stay at or below her budget of $4,500 for the food. The cost will be $65 for each adult's meal and $20 for each child's meal. Part A: Write an inequality to represent the situation. Part B: If there are 63 adults coming, what is the maximum number of children attend and eat the meal? Why?
Guessing the initial of a students middle name
Answer:
1/26
Step-by-step explanation:
If JKLM is a trapezoid, which statements must be true? Check all that apply.
A. JK=~KL
B. J is congruent to M.
DC. JK is parallel to LM.
I D. J is congruent to K.
E. KL is parallel to JM.
OF Jis supplementary to K.
JKLM is a trapezoid. Statements A and E are correct.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes. There are two parallel sides and two non-parallel sides to a trapezoid.
These are the actual statements:
(a) J is supplementary to K
(e) KL is parallel to JM
Hence, statements A and E are correct.
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You and your friend are trying to meet up at the park. You are currently 256 m directly west from the centre of the park. Your friend is currently 388 m directly north from the centre of the park. What is the distance between you and your friend?
Answer:
The distance between the two is 465 meters
Step-by-step explanation:
We first need to set up a triangle that shows the relative position and distances of the two friends
Please check attachment for this
To get this distance, which represents the hypotenuse of the triangle, we make use of Pythagoras’ theorem
Mathematically;
Pythagoras’ theorem states that the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
D^2 = 256^2 + 388^2
D^2 = 216,080
D = √216,080
D = 464.84 which is approximately 465 m
2700 is a perfect cube. True/False?
Answer: False
Step-by-step explanation:
Answer:
It is false hope this will be
Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation:
Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.
Answer:
The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
Step-by-step explanation:
Current age of Alex = 8
Current age of the horse in human years = 50
Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.
Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:
The age of the horse, in human years, when Alex was born = 50 - 8 = 42
Therefore, the age of the horse, in human years, when Alex was born was 42 years.
This can be presented in a table as follows:
Age of Alex Age of the Horse (in human years)
Eight years ago 0 42
Current age 8 50
Which function is linear?
A. 9y+3=0
B. Y-4x=1
C. Y=2+6x⁴
D. X-2y=7
E. X/y+1=2
Answer:the answer is A
Step-by-step explanation:
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
A salad lettuce,tomatoes,and onions would be classified as a
The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
age of Sherwin. Find their present age.
Answer:
In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.
whats the answer to this I need this asap
will give brainliest
Answer:
I think is C
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Answer:
y= 3x + 8
Step-by-step explanation:
y = mx + b
m = 3 inches of water added each day
x = 8 inches of water at start
y= 3x + 8 is the required equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.
We have,
m = 3 inches of water added each day
x = 8 inches of water at start
Converting in y = mx + b, we get,
y = 3x+8
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PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
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A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)