the cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters. what is the area of the base of the cylinder? express your answer in items of pi
Answer:
16
Step-by-step explanation:
The base of a cylinder is a circle. The equation to find the area of a circle is A=r^2. A is the area, r is the radius. So, first r squared. 4 times 4 is 16. Then you multiply 16 times , and end up with 16.
Wendy is making lemonade. As shown in the table, Wendy mixes water and lemon juice. Which equation shows how much lemon juice is needed for 6 ounces of water?
Answer:
L = 1/3 W
Step-by-step explanation:
If you look at the table, you can see that all of the water is divided by three to find the amount of lemon juice. Using the process of elimination, this answer choice is the only one containing the number "3."
For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function for selling x items is R(x)=−0.5(x−120)2+7,200. The maximum capacity of the company is 140 items.
Assuming that the company sells all that it produces, what is the profit function?
P(x)=
Preview Change entry mode .
Hint: Profit = Revenue - Cost as we examined in Discussion 3.
What is the domain of P(x)?
Hint: Does calculating P(x) make sense when x=−10 or x=1,000?
The company can choose to produce either 70 or 80 items. What is their profit for each case, and which level of production should they choose?
Profit when producing 70 items =
Number
Profit when producing 80 items =
Number
Can you explain, from our model, why the company makes less profit when producing 10 more units?
The profit equation is:
p(x) = -0.5*x^2 + 70x - 200
The domain is:
x ∈ [0, 140], such that x ∈ Z
and the profit is larger for 70 items.
We know that:
Cost equation:
c(x) = 50*x + 200
revenue equation:
r(x) = -0.5*(x - 120)^2 + 7,200
The maximum capacity is 140
Then x can be any value in the range [0, 140]
We want to find the profit equation, remember that:
profit = revenue - cost
Then the profit equation is:
p(x) = r(x) - c(x)
p(x) = ( -0.5*(x - 120)^2 + 7,200) - ( 50*x + 200)
Now we can simplify this:
p(x) = -0.5*(x - 120)^2 + 7,200 - 50x - 200
p(x) = -0.5*(x - 120)^2 + 7,000 - 50x
p(x) = -0.5*(x^2 - 2*120*x + 120^2) + 7,000 - 50x
p(x) = -0.5*x^2 + 120x - 7,200 + 7,000 - 50x
p(x) = -0.5*x^2 + 70x - 200
Now we want to answer, what is the domain of p(x)?
The domain is the set of the possible inputs of the function.
Remember that x is in the range [0, 140], such that x should be a whole number, so we also need to add x ∈ Z
then:
x ∈ Z ∧ x ∈ [0, 140]
Then that is the domain of the profit function.
Now we want to see the profit for 70 and 80 items, to do it, just evaluate p(x) in these values:
70 items:
p(70) = -0.5*70^2 + 70*70 - 200 = 2,250
p(80) = -0.5*80^2 + 70*80 - 200 = 2,200
So the profit is smaller for the larger number of items, why does this happen?
You can see that the profit equation is a quadratic equation with a negative leading coefficient, so, as the value of x increases after a given point (the vertex of the quadratic) the profit will start to decrease.
If you want to learn more about quadratic functions, you can read:
https://brainly.com/question/22889366
PlS HELP I NEED THIS IN AN HOUR
explain how the relationship between the sides and angles of a triangle can be applied to equilateral triangles.
Answer:
In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.
Step-by-step explanation:
Answer:
shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.
Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..
Answer:
edf
Step-by-step explanation:
I am a number. If you square the product of 3 and 4 you will know what I am. I am __________.
Answer:
144
Step-by-step explanation:
product of 3 and 4 = 12
square of 12 = 144
What is the solution to the inequality below 8 m> 40
Answer:
M>5
Step-by-step explanation:
Lets just rewrite the equation
8m>40 is the same as m(8)>40
lets divide
8m / 8>40/8
m>5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Joe makes an hourly wage of $14.00. Last week, Joe worked 58 hours.
What is Joe's gross pay for this pay period?
Answer:
812 dollars 14 x 58 = $812 dollars.
Step-by-step explanation:
Answer:
I think it is 812 tell me if I'm wrong please
Miranda's wages are $15 per hour. write a linear equation that gives the wages w in dollars that miranda earns in h hours.
Help with these pls
Answer:
8. 96
9. ?
10. 1
Step-by-step explanation:
I don't think your showing the whole image. I don't see the goal.
PLEASE HELP I NEED THIS
Answer:
The answer is B because left and down are negative
The base and height of a triangle are each extended 2cm. what is the area of the shaded region? explain how you know
PLEASE HELP ILL GIVE YOU BRAINLIEST PLESSE HELPPPP
Answer:
18cm^2
Step-by-step explanation:
The computation of the area of the shaded region is shown below:
But before that the x value is
x ÷ 8 = (x+2) ÷ 10
10x = 8x + 16
10x - 8x = 16
2x = 16
x = 8
Now as we know that
Area = base × height
= 2cm × 8cm
= 16cm²
Now for small triangle
Area = 1 ÷ 2(base)(height)
= 1 ÷ 2 × (2)(2)
=4 ÷ 2
A = 2cm²
Now the total area of the shaded region is
= 16cm^2 + 2cm^2
= 18cm^2
(a) Tom is 7 years old. Bill is 5 years older than Tom.
Write Bill's age in terms of T.
Answer:
12 years old
Step-by-step explanation:
7 + 5 = 12
T + 5
Exercise 11.4.3: Detecting a biased coin. About A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0.3. Without knowing which coin he is using, you ask him to flip the coin 10 times. If the number of heads is at least 4, you conclude that the coin is fair. If the number of heads is less than 4, you conclude that the coin is biased. (a) What is the probability you reach an incorrect conclusion if the coin is fair
Answer:
0.17189
0.3504
Step-by-step explanation:
For a fair coin ; p = 0.5
1 - p = 0.5
P(x < 4) = p(x = 0) + p(x =1) + p(x = 2) + p(x = 3)
Recall:
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a calculator to save time:
P(x <4) = 0.00098 + 0.00977 + 0.04395 + 0.11719
P(x < 4) = 0.17189
For a unfair coin :
p = 0.3 ; 1 - p = 1 - 0. 3 = 0.7
P(x ≥ 4) = p(x=4)+p(x =5)+p(x=6)+p(x=7)+p(x=8)+p(x=9) +P(x=10)
Recall:
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Using a calculator to save time:
P(x ≥4) = 0.3504
Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k
Answer:
Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k
Step-by-step explanation:
Suppose that in the inventory problem, the storage cost depends on the maximum inventory size, rather than the average. This would be more realistic if, for example, the company had to build a warehouse large enough to hold the maxi- mum inventory, and the cost of storage was the same no matter how full or empty the warehouse was. Show that in this case the number of units that should be ordered or manufactured to minimize the total cost is q= âfM/k
Plzzzz guys help :( Which of the following is the mid point of the line segment with endpoints -3 and 2 (a)5/2 (b) 1 (c) -1/2 (d) -1 (e)-5/2
Answer:
C -1/2
Step-by-step explanation:
midpoint = sum of end points divide by 2.
here, midpoint = (-3+2)/2
=(-1/2)
Answer:
- 1 / 2
Step-by-step explanation:
→ Add the 2 numbers together
-3 + 2 = -1
→ Divide answer by 2
- 1 ÷ 2 = - 1 / 2 or - 0.5
Find the surface area of a cylinder with the following dimensions. Use 3. 14 for $. Round your answer to the nearest
tenth
d = 11.4 cm, h = 4.4 cm
a. 5172 sq. cm
723.6 sq. cm
b. 361.5 sq. cm
d. 294.5 sq.cm
C.
Please select the best answer from the choices provided
Ο Α
ОВ
ОС
OD
Answer:
b
Step-by-step explanation:
r=d/2=11.4/2=5.7
slant surface area=2πr*h=11.4×3.14×4.4=157.5024 cm^2
area of base and top=2(πr²)=2×3.14×(5.7)²=204.0372 cm²
total surface area=157.5024+204.0372=361.5396=361.5 sq. cm
what is the median for 11, 3, 8, 2, 9, 1, 4
Math work please help
don't send any link or ill report
Answer:
Step-by-step explanation:
It would be b if im wrong Im so sorry <>.<> I tried my best to do everything or get everything right and I did the math~ also have skittles and m&m's~ ∨
what is the value of this expression?
10÷2+3×5-3
Please I need help with answering B...
5. The average price of a personal computer (PC) is $949.
Computer prices are approximately normally distributed
with = $100.
a. The least expensive 10% of personal computers cost less
than what amount? $821
b. The most expensive 30% of personal computers cost more
than what amount?
Find the following ratios. Write each answer as a fraction and as a decimal rounded to four decimal places.
Answer:
[tex]y = 56.6208[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find y
To find y, we make use of the relationship between sides lengths 44 & y and angle 39
The relationship is:
[tex]cos(39) = \frac{44}{y}[/tex]
i.e.
[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
Make y the subject
[tex]y = \frac{44}{cos(39)}[/tex]
[tex]y = \frac{44}{0.7771}[/tex]
[tex]y = 56.6208[/tex] -- approximated
what is the value of x ?
Answer:
Since we know that the sum of the two angles equal 180, we can add them together to equal 180 degrees.
2x+10+x+26=180
Combine like terms.
3x+36=180
Subtract 36 from both sides.
3x=144
Divide 3 from both sides.
x=48
Hope this helps :)
Step-by-step explanation:
The city of Houston received 8 more inches of rain than the town of Groesbeck. Which algebraic expression represents the amount of rain in Houston?
a 8g
b g + 8
c g - 8
d g ÷ 8
Find the volume of the prism.
15 mm
B = 43 mm
Answer:
161 hope it helps
Step-by-step explanation:
God bless
Find the missing number 15/8
x=1 and y=3
2x+3y-2
plsss helpp <3
Answer:
9
Step-by-step explanation:
2x + 3y - 2 =9
(2) + (9) -2 =9
A tree is being cut down to form four equal stumps. The trunk of the tree measures 8 2/3 feet in length. What will
be the length of each stump?
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
m= 9
Step-by-step explanation:
63/7
Answer:
The value of each *m* is 9
Step-by-step explanation:
Mark Brainly
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400