We get: h = 8√(p + √(p^2 - 64))
Let the base and the other leg of the right triangle be denoted by b and a, respectively. Then we have:
a^2 + b^2 = h^2 (by the Pythagorean theorem)
The area of the triangle can also be expressed as:
Area = (1/2)bh = (1/2)ab
Since the altitude is 16 cm, we have:
Area = (1/2)bh = (1/2)(16)(b + a)
Simplifying, we get:
Area = 8(b + a)
Now, the perimeter of the triangle can be expressed as:
p = a + b + h
Solving for h, we get:
h = p - a - b
Substituting for a and b using the Pythagorean theorem, we get:
h = p - √(h^2 - 16^2) - √(h^2 - 16^2)
Simplifying, we get:
h = p - 2√(h^2 - 16^2)
Squaring both sides, we get:
h^2 = p^2 - 4p√(h^2 - 16^2) + 4(h^2 - 16^2)
Rearranging and simplifying, we get:
h^2 - 4p√(h^2 - 16^2) = 4p^2 - 64
Squaring both sides again and simplifying, we get a fourth-degree polynomial in h:
h^4 - 32h^2p^2 + 256p^2 = 0
Solving this polynomial for h, we get:
h = ±√(16p^2 ± 16p√(p^2 - 64))/2
However, we must choose the positive square root because h is a length. Simplifying, we get:
h = √(16p^2 + 16p√(p^2 - 64))/2
h = 8√(p + √(p^2 - 64))
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HELP FOR BRAINLIEST + 5 STAR RATING + THANKS
what exactly is standard deviation? and pls gimme an example
Answer:
The standard deviation is the average amount of variability in your data set. It tells you, on average, how far each score lies from the mean.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range. For example, the mean of the following two is the same: 15, 15, 15, 14, 16 and 2, 7, 14, 22, 30. However, the second is clearly more spread out.
Step-by-step explanation:
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start. Understanding the Competition 1. Explore the three competitors in your area to learn more about the services they offer and how they reach their customers. Fill in the table below to help you compare their businesses. (12 points: 1 point for each table cell)
Outward HoundA1-Pet Services Debbie's Daily Dog Walks What services does the business offer? What do you know about the type of business and its staff? Who are the target customers? How much does the business charge?2. Now that you know a bit about the competition, it's time to get more specific about your business offering. (6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you would like to offer. Do any of these services require you to buy special items? If so, what would you need to buy? Describe the type of customer you believe your business will appeal to and explain why. If you had to guess now, how much do you think you should charge for a 30-minute dog walk? Calculating Your Business Costs 3. Use the table below to summarize your monthly business costs. Record each option you choose in the "Options selected" column. (9 points: 1 point for each completed table cell)
Cost type Total cost per month Options selected Advertising Goods Transportation Licensing TOTAL 4. Explain the choices you made that determined your business costs in each cost category. (4 points: 1 point for each explanation) In your explanation, be sure to describe: ❑ Your advertising choices ❑ The goods you will purchase ❑ Your transportation needs
❑ Whether you chose bonding ❑ The reasons for your choices Advertising: Goods: Transportation: Bonding:
loading...
With every price decrease of $1, Caleb (gained/lost) ___________ customers. 6. Write a profit equation for Caleb's business. Profit = Price • Number of customers – Cost To write the profit equation, use the following assumptions: ❏ Express price and number of customers in terms of the same variable, x. ❏ Let x = the change in price from the price that gave Caleb the greatest revenue. Use the information in the table to answer these questions. (9 points: 1 point per blank) a. At what price did Caleb make the most revenue per month? How many customers did he serve at that price? Price: _________ Number of customers: _________ b. Write an expression for price. Use the price identified in part a. Let x represent the change in Caleb's price from this price. Price = __________ + ____________ c. Write an expression for the number of customers. Use the number of customers identified in part a, and the decrease in number of customers when Caleb increases his price by $1 (from question 5). Number of customers = _________ – __________x d. Write Caleb's profit equation. Use the expressions you identified in parts b and c. Assume Caleb's costs amounted to $200 each month. Profit = Price • Number of customers – Cost Profit = ___________ • ____________ – _________
Maximizing Your Profits You've done a lot of research. Now it's time to try to maximize the profit of your new business. 7. Write and simplify your personalized profit equation. Complete the profit equation, using the price and customer expressions from question 6 and your total cost from question 3. (6 points: 1 point for each element: price, number of customers, and cost; 3 points for writing and simplifying the profit equation) 8. Now find the maximum point on the graph of your profit equation (the vertex). (5 points: 1 point for each box in part a; 2 points for part b) a. b. Substitute x into the profit function to find the maximum profit. Maximum profit: . According to your model, what price should you charge to maximize profit? Explain how you know this is the best price. (Hint: Remember that x represents change in price from $22, not price.) (3 points: 1 point for price and 2 points for explanation) 10. What are the break-even points of the profit function (the values of x where profit equals 0)? Use the quadratic formula. (4 points: 2 points for each x-value) 11. According to your model, between what two prices should you price your service? Why would you want to keep your price between those limits? (4 points: 2 points for the break-even values, and 2
.
+
1
Answer:
Here is the answer. :)
Please do mark me brainlist.
Answer:
3.7.2 Project: Your Dog-Walking Business Project
Algebra I Sem 2 (S4982522) Ahmad Anwar
Points possible: 80 Date: 3/27/19
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own
neighborhood. Caleb has had his business for more than a year and has experimented with different
prices for his services. He is willing to share what he has learned with you as you begin to plan your
business.
The Project: Use the information provided in the Performance Task to learn more about your
competition and the costs of your business. See what you can discover by looking at Caleb's
sales records to help you decide how to set up and price your own dog-walking services.
Use the questions below to help you gather information and get your new business off to a
profitable start.
Understanding the Competition
1. Explore the three competitors in your area to learn more about the services they offer and how
they reach their customers. Fill in the table below to help you compare their businesses.
(12 points: 1 point for each table cell)
Outward Hound A1-Pet Services Debbie’s Daily Dog Walks
What
services
does the
business
offer?
Their unique services focus
on off-leash dog park play,
nature trails and wilderness
hikes, and social play with
other dogs
Their services include private
walks, distribution of food,
water, and medications,
stop-in pet sitting,
mail-pickup, and plant
watering
Her services include daily
leash-walks and playtime
supervision, distribution of
food and fresh water, mail
and newspaper pickup, and
turning house lights on and
off
What do you
know about
the type of
business
and its
staff?
Outward Hound is a small
business staffed by dog
lovers with extensive
training in animal behavior
and nutrition.
A1-Pet Services is a
nation-wide franchised
pet-service company. They
specialize in caring for pets
when their owners are away
from home.
Debbie's Daily Dog Walks is
a one person business. Her
services are available for a
day or an extended period of
time.
Who are the
target
consumers?
Outward Hound's
customers pay a premium
for their staff's expertise and
innovative services. They
are licensed, bonded, and
insured.
Their customers have pets
that need a strict schedule,
and the reliability of this
service is most important.
Her customers are
cost-conscious and
appreciate the low cost of her
services.
How much
does the
business
charge?
They charge per day at a
rate equivalent to $35 per
30 minutes.
Their rates are considered
average at $20 per 30
minutes.
She charges $12 per 30
minutes.
2. Now that you know a bit about the competition, it’s time to get more specific about your business
offering.
(6 points: 3 points for describing services, 1 point for each of the other questions)
List three services you
would like to offer.
The services I would like to offer are daily leash-walks and playtime supervision,
distribution of food and fresh water.
Do any of these
services require you to
buy special items? If so,
what would you need to
buy?
I need to buy leashes and leads, fetching toys, treats, cleanup bags.
Describe the type of
customer you believe
your business will
appeal to and explain
why.
The type of customer I believe my business appeals to is a casual person who
needs their dog watched by.
If you had to guess
now, how much do you
think you should charge
for a 30-minute walk?
I think I should charge around $20 for a 30-minute walk.
Calculating Your Business Costs
3. Use the table below to summarize your monthly business costs. Record each option you choose in
the “Options selected” column.
(9 points: 1 point for each completed table cell)
Cost-Type Total Cost per Month Options Selected
Advertising $12 Color flyers
Business website
Business cards
Social media advertising
Goods $37 Leashes and leads
Fetching toys
Treats
Cleanup bags
Transportation $75 Walking
Bicycle Maintenance
Bus/metro pass
Gas for vehicle
Licensing $160.75 Insurance
Business registration
Bonding
Total $284.75
4. Explain the choices you made that determined your business costs in each cost category.
(4 points: 1 point for each explanation)
In your explanation, be sure to describe:
❑ Your advertising choices
❑ The goods you will purchase
❑ Your transportation needs
❑ Whether you chose bonding
❑ The reasons for your choices
Advertising:
Goods:
Transportation:
Bondin
Step-by-step explanation:
please mark me brainliest!!
What is the volume of this?
Answer:
1728 m³
Step-by-step explanation:
[tex]A_{triangle}[/tex] = [tex]\frac{7.2*4.8}{2}[/tex] = 172.8 m²
V = 172.8 × 10 = 1728 m³
Ali Clara and Shane raise money for new books for the school library all Ellie rays 20% more than Clara and $58 more than Shan Claries 1/4 times
Answer:
a. $435
b. 33.33%
Step-by-step explanation:
P.S - The exact question is -
Let Clara raised money = x
As given,
Ali raised 20% more than Clara
⇒Ali raised money = [tex]x + \frac{20}{100}x = x + \frac{1}{5} x = \frac{6}{5}x[/tex]
Also given,
Clara raised [tex]\frac{1}{4}[/tex] times more than Shan
Clara raised money = Shan raise money + [tex]\frac{1}{4}[/tex] times shan raired money
⇒Clara raised money = [tex]\frac{5}{4}[/tex] Shan raised money
⇒Shan raised money = [tex]\frac{4}{5}[/tex] times Clara
⇒Shan raised money = [tex]\frac{4}{5}[/tex] x
As given,
Ali raised $58 more than shan
⇒[tex]\frac{6}{5}x = \frac{4}{5}x + 58[/tex]
⇒[tex]\frac{6}{5}x -\frac{4}{5} x = 58[/tex]
⇒[tex]\frac{2}{5}x = 58[/tex]
⇒x = (29)(5) = $145
∴ we get
Clara raised money = x = $145
Ali raised money = [tex]\frac{6}{5}x[/tex] = $174
Shan raised money =[tex]\frac{4}{5}[/tex] x = $116
a.)
Total raised money = $145 + 174 + 116 = $435
b.)
Percentage of money Clara raised = [tex]\frac{145}{435}[/tex]×100% = [tex]\frac{1}{3}[/tex]×100% = 33.33%
Does anyone know if I did this right?? Please help me
Answer:
you did this right
Step-by-step explanation:
Simplify the expression.
4(5x + 2) + 7x + 6 =
12x + 8
27x + 14
27x + 8
27 + 14x
Answer: =27x+14
Step-by-step explanation: hope this help :)
Let's simplify step-by-step.
4(5x+2)+7x+6
Distribute:
=(4)(5x)+(4)(2)+7x+6
=20x+8+7x+6
Combine Like Terms:
=20x+8+7x+6
=(20x+7x)+(8+6)
=27x+14
Answer:
=27x+14
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juices. If there are 405 containers in the store, how many are grape juice?
Answer: There are 180 grape juice in the store
Step-by-step explanation:
The ratio of containers of orange juice to containers of grape juice in a store is 5 orange juices to 4 grape juice which can be expressed as 5:4
Total number of containers = 405
total ratio = 4+5 =9
The number of containers that are orange juice = 5/9 x 405
=5 x 45=225
The number of containers that are grape juice will now be = 4/9 x 405
=4 x 45= 180.
Find the roots of the equation: f(x)=64x2+6=31
Answer:
5/8, -5/8
Step-by-step explanation:
64x^2 = 25
divide both sides by 64
x^2 = 25/64
take the square root of both sides, and the negative square roots
Answer:
x = 5/8=0.625 and x = -5/8=−0.625
Step-by-step explanation:
f(x)=64x^2+6=31
Subtract 6 from both sides.
64x^2+6=31
Subtract 6 from 31 to get 25.
64x^2=25
Divide both sides by 64.
x^2=25/64
Take the square root of both sides of the equation.
x=5/8=0.625
x=-5/8=−0.625
1) John spent $36 to buy 4 basketballs. What was the price per basketball?
184329 rounded to the nearest 100
Answer:
184300
Step-by-step explanation:
Answer:
184300
Step-by-step explanation:
the tens place is less than 5 so the hundreds place will stay the same
(when rounding all numbers after the one being rounded will turn to 0)
[tex](9x2-2x+1)-(3x2+5x-8)[/tex]
Answer:
(6x² - 7x + 9)
Step-by-step explanation:
Given:
(9x² - 2x + 1) - (3x² + 5x - 8)
Find:
Value of equation
Computation:
(9x² - 2x + 1) - (3x² + 5x - 8)
(9x² - 2x + 1 - 3x² - 5x + 8)
(6x² - 7x + 9)
cual es el resultado de -4+5/3
Answer:
English translate so i can help you ? :)
Step-by-step explanation:
The system of equations y=-3x+2 and y=1/2x-6 is shown on the graph below
Answer:
Step-by-step explanation:
What's the question?
HELP I NEED HELP ASAP
The graph shows the number of each size T-shirt a store currently has in stock. Which statements are true?
Choose exactly two answers that are correct.
Question 3 options:
The ratio of large to small T-shirts is about 4 to 1.
There are more than 35 small and extra small T-shirts.
There are about twice as many large T-shirts as small T-shirts.
There are fewer than 100 T-shirts in all.
Answer:
medium, extra large
Step-by-step explanation:
BRAINLIEST PLEASE
Help me please :( I’m going to get beat if I don’t do these topics it’s finding the angles measures given two parallel lines
white chocolate costs $2.00 per bar, and dark chocolate costs $2.50 per bar. If you buy 15 bars of chocolate for $34, how many of each bar did you buy?
Answer:
7 white and 8 dark bars
Step-by-step explanation:
x white bars
15-x dark bars
cost of white bars is 2 * x
cost of dark bars is 2,5 * (15-x)
Write an equation
2x + 2,5 * (15-x) = 34
2x + 37,5 - 2,5x = 34
-0,5 x = - 3,5
x = 7
So we have x = 7 white bars
and 15 - x = 15 - 7 = 8 dark bars
A dealer of electric oven sold an induction heatet at Rs.4,200 with 13% VAT to a retailer. The retailer added transportation cost of Rs.250, profit 15% and local tax Rs.150 and sold to a costumer. How much will be paid for that heater if he/she has to pay 13% VAT
Answer:
$6,619.42.
Step-by-step explanation:
Since a dealer of electric oven sold an induction heater at Rs. 4,200 with 13% VAT to a retailer, and the retailer added transportation cost of Rs. 250, profit 15% and local tax Rs. 150 and sold it to a costumer, To determine how much will be paid for that heater if the consumer has to pay 13% VAT, the following calculation must be performed:
((4,200 x 1.13) x 1.15 + 250 + 150) x 1.13 = X
((4,746 x 1.15) + 250 + 150) x 1.13 = X
(5,457.9 + 400) x 1.13 = X
5,857.9 x 1.13 = X
6,619.42 = X
Thus, the price to be paid by the consumer will be $ 6,619.42.
how many solutions 9x +2y =9 -3x + y=2
Answer:
4
Step-by-step explanatio
Answer: 4
Step-by-step explanation:
jiubpuunuibu
helppppppppppppppppppppppppp
Answer:
The value of f(2) is -9.
Step-by-step explanation:
You look for the x axis and count 2, then go down until you reach the line.
Plz mark me as Brainliest plz
9*10^7 is how many times as large as 3*10^-2
A 1kg book is lifted 2m. How much work was done?
Answer:
work= force ×distance
force= mass × acceleration due to gravity
mass= 1kg
acceleration=10
Force=1×10=10N
Work=10×2=20joules
The work done is 20 joule.
What is Work done?
It should be converted to energy in order to move an object. Energy can be transferred by the use of force. Work done refers to the amount of energy used by a force to move an object.
Given:
mass, m= 1 Kg
So, force = mg = 1 x 10 = 10 N
and, displacement = 2m
Now, work done= force x displacement
= 10 x 2
= 20 Joules.
Hence, the work done is 20 joule.
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Ms. Mathews wants to put a fence around the north, south and east sides if her square garden. The garden has an area of 100ft2. How much fencing does she need?
Answer:
30 feet
Step-by-step explanation:
3 sides of x feet each
area=x^2=100
x=10
10 x 3 = 30 feet
Pls help fast!!
Andrew is buying a new bike. The bike shop is having a special discount of 25% off all bikes. The bike Andrew wants usually sells for $550. What will be the final
price of the bike, including 6% sales tax? Be sure to write all answers to the nearest hundredth.
Discount Amount:
Tax Amount:
Final price:
France had 8,306,000 visitors while Australia had 15,976,000 visitors. How many combined visitors did they have?
Answer:
24,282,000 visitors (total)
Step-by-step explanation:
Add these two counts together:
8 306 000
15 976 000
------------------
24 282 000 total number of visitors
Answer:
Add the number of France visitors and Australia visitors and you will get...
Step-by-step explanation:
24,282,000 visitors
reflect...........................................
Answer:
F ( -1,4)
E (-1,2)
G (-4,5)
Step-by-step explanation:
Answer:
on what
.....................
A cube has edges measuring 6 inches each. What is the volume of the cube?
Answer:
6*6*6 = 216
Step-by-step explanation:
If each edge is six inches the volume of the cube will be 216 cubic inches. The edges of cube are six inches long what is the volume? 6*6*6 = 216
PLease help!! I will give brainliest for the right answer!!
Answer:
angle CDE is 10 degree
Step-by-step explanation:
As angle C is 90
Angle E is equal to angle B which is 80 (180-100)
so 90+80+X=180
X=180-170
X=10
On Monday, the baker makes 35 blueberry muffins.
What is the total number of muffins that the baker makes on Monday?
Answer:
We don't know
Step-by-step explanation:
enWe know that the baker makes 35 BLUEBERRY muffins BUT we do not know how many OTHER muffins he makes. If he just has blueberry, then he would be making 35.
Hope this helps! Have a great day :)
Which property justifies the statement below?
"If -4x = 28, then 28 = -4r"
A. Commutative Property
B. Symmetric Property
C. Identity Property
D. Transitive Property
Answer:
Commutative Property