A cylindrical can is to have volume 1500 cubic centimeters. determine the radius and the height which will minimize the amount of material to be used. note that the surface area of a closed cylinder is s=2rh+2r2 and the volume of a cylindrical can is v=r2h.
Which expression gives the volume of a sphere with radius 17?
Answer:
[tex]\frac{4}{3} \pi r^{3}[/tex]
r =17
Step-by-step explanation:
Given : radius of sphere is 17
To Find : the volume of Sphere
Solution :
Volume of Sphere : [tex]\frac{4}{3} \pi r^{3}[/tex]
We are given that radius 'r' of sphere is 17
So, volume of sphere of radius 17 :
[tex]\frac{4}{3} \pi 17^{3}[/tex]
⇒ [tex]6550.6\pi[/tex]
put value of [tex]\pi[/tex] = 3.14
⇒6550.6 ×3.14
⇒20568.88
Thus , The volume of sphere is 20568.88 [tex]unit^{3}[/tex]
The length of a rectangle is 3 yd less than twice the width, and the area of the rectangle is 65yd . find the dimensions of the rectangle.
What is the vertex of the absolute value function below?
(4, –1)
(1, –4)
(1, 4)
(4, 1)
Answer:
(4,1) D
Step-by-step explanation:
i got it right on edge
Two angles of a triangle have a sum of 110. the sum of all three angles is 180 .what is the measure of the third angle
Bob can do a job in 5 hours while Bill can do the same job in 8. How many hours would it take them, working together, to do this job?
Final answer:
Bob and Bill can complete the job together in approximately 3.08 hours by combining their individual rates of work, which are 1/5 and 1/8 jobs per hour respectively.
Explanation:
The question asks how long it would take Bob and Bill to complete a job if they worked together, with Bob being able to do it in 5 hours and Bill in 8 hours. To solve this, we calculate the rates at which Bob and Bill work and then combine these rates to find their combined rate.
Bob's rate is 1 job per 5 hours, or 1/5 jobs per hour. Bill's rate is 1 job per 8 hours, or 1/8 jobs per hour. When they work together, their combined rate is 1/5 + 1/8 = 8/40 + 5/40 = 13/40 jobs per hour.
To find the total time it takes for them to complete 1 job, we take the reciprocal of their combined rate: 1 / (13/40) = 40/13, which is approximately 3.08 hours.
Combining Bob and Bill's individual rates, it would take them approximately 3.08 hours to complete the job together.
Find out how long it would take Bob and Bill to do the job together:
Calculate individual rates.
Bob's rate: He can complete the job in 5 hours, meaning his rate is 1 job / 5 hours.
Bill's rate: He can complete the job in 8 hours, meaning his rate is 1 job / 8 hours.
Combine rates.
To find their combined rate, we simply add their individual rates: Combined rate = Bob's rate + Bill's rate Combined rate = (1 job / 5 hours) + (1 job / 8 hours)
Calculate combined time.
Now, divide 1 (representing the entire job) by the combined rate to find the total time they take working together: Time together = 1 / Combined rate Time together = 1 / ((1 job / 5 hours) + (1 job / 8 hours))
Simplify and express the answer.
This can be simplified to: Time together = 40 / 13 hours Time together ≈ 3.08 hours
Therefore, it would take Bob and Bill approximately 3.08 hours to complete the job together.
When a population grows according to the logistic model, what is the value of the instantaneous population growth rate (dn/dt) when the population is stable?
a. dn/dt = 0
b. dn/dt = n
c. dn/dt = r
d. dn/dt = k?
Answer:
d
Step-by-step explanation:
Multiply. (−23)⋅(−4) A. −92 B.−27 C.27 D.92
A right triangle has a hypotenuse of 13 cm and one leg that measures 12 cm. what is the length of the other leg?
The answer is 22.62
Hope this helps :)
The length of the other leg is 5 cm.
To find the length of the other leg of the right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Let's denote the length of the other leg as ( x ) cm.
According to the Pythagorean theorem:
[tex]\[ \text{hypotenuse}^2 = \text{leg}_1^2 + \text{leg}_2^2 \][/tex]
Given that the hypotenuse ( c ) is 13 cm, and one leg ( a ) is 12 cm:
[tex]\[ 13^2 = 12^2 + x^2 \][/tex]
[tex]\[ 169 = 144 + x^2 \][/tex]
Now, subtract 144 from both sides:
[tex]\[ x^2 = 169 - 144 \][/tex]
[tex]\[ x^2 = 25 \][/tex]
Taking the square root of both sides:
[tex]\[ x = \sqrt{25} \][/tex]
[tex]\[ x = 5 \][/tex]
Therefore, the length of the other leg is 5 cm.
What evidence does the narrator offer for believing in a past life as a bat?
The narrator's evidence of a past life as a bat can be derived from their understanding of the bat's way of navigating through darkness similar to their pre-literate life, mirroring a bat's perception of the world through sound reflections, and also a subtle hint on a shared evolutionary past with bats.
Explanation:The narrator of the story hints at the possibility of having a past life as a bat based on their keen sense of understanding and relating to the fundamental traits of a bat. First, the narrator draws parallels between their pre-literate life and a ship lost in the fog, similar to how bats navigate their way in the dark through echolocation, as the figures 17.6 and 14.8 depict. The echoes, in this context, could symbolize the intangible voices of the past, reiterating their bat-like existence.
Secondly, the narrator's reflections on shadows as distorted versions of reality, as narrated in the allegory of the cave, mirrors the bat's perception of the world through sound, making physical visibility a misleading representation. This is also closely connected to the narrator referring to a transcendence that momentarily allows them to live outside social norms, just like bats that occupy the night skies primarily, a time generally regarded as quiet and uninhabited by humans.
Lastly, the narrator’s mention of homologous bat and bird wings as an evidence of common evolutionary past (Figure 20.7) might indicate the belief in being part of the same evolutionary lineage. These instances collectively form the narrator's evidence for the belief in a past life as a bat.
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Plz help fast will mark brainiest
Determine whether each ordered pair is a solution of y= 2x-4
(3,2)
Yes or No?
A ball is thrown upward into the air so that its height, h, in feet, after t seconds is modeled by the function h(t) = 56t – 16t2. What is the velocity, in feet per second, of the ball after 2 seconds?
-32
-8
24
48
Answer:
A
Step-by-step explanation:
-32
Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
Velocity = Height / Time
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
h(t) = 56t - 16t²
h(t) is the height after t seconds.
Now,
Velocity = Height / Time
At t = 2,
h(2):
= 56 x 2 - 16 x 4
= 112 - 64
= 48
Now,
Velocity = 48 / 2
Velocity = 24
Thus,
The velocity, in feet per second, of the ball after 2 seconds is 24.
Option C is the correct answer.
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You reach into a bag of coins and withdraw two coins without replacement. What is the probability you withdrew a nickel and then a dime if the bag held five pennies, ten nickels, and four dimes?
Answer: [tex]\dfrac{20}{171}[/tex]
Step-by-step explanation:
Given : Number of nickels in the bag = 10
Number of dimes in the bag = 4
The total number of coins in the bag =[tex]10+4+5=19[/tex]
The probability of drawing nickel :-
[tex]\text{P(nickel)}=\dfrac{10}{19}[/tex]
Total number coins left = 18
The conditional probability of drawing dime, given that a nickel is already drawn :-
[tex]\text{P(dime}|\text{nickel)}=\dfrac{4}{18}[/tex]
Now, the probability you withdrew a nickel and then a dime is given by :-
[tex]\text{P(dime and nickel)}=\text{P(dime}|\text{nickel)}\times\text{P(nickel)}\\\\=\dfrac{10}{19}\times\dfrac{4}{18}=\dfrac{20}{171}[/tex]
Now, the probability you withdrew a nickel and then a dime [tex]}=\dfrac{20}{171}[/tex]
Which rectangle is an enlargement of a 5 by 6 rectangle
Which rectangle is an enlargement of a 5 by 6 rectangle? B. 15 by 18
which value below is not included in the solution set for the inequality statement? x+4≥1/2(x-3)
Answer:
Step-by-step explanation:
-13
A town's population has been growing linearly. In 2003, the population was 25000, and the population has been growing by 1200 people each year.Write an equation for the population
x
years after 2003.
..........
the x value??
a contractor finds that 6 gallons of paint will cover 750sq ft of wall area.how much wall area could be covered with 18 gallons of paint
PLEASE HELP FAST!!!
Step 3: Solving real-world problems that involve markups
a) A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. (2 points)
This is the table
Quantity 0-20 pairs 21-40 pairs 41-60 pairs 61-80 pairs 81 or more pairs
Wholesale Price (per pair) $25.00 each $23.00 each $21.00 each $19.00 each $17.00 each
Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range? (2 points)
since all the shoes get marked up by 80%
the equation for all of them would be :
y = new price
x = wholesale price
y = 1.8x
b) Imagine that you earned $8,425 in one year. If the government enforces a 15% income tax, how much money would you owe in taxes at the end of the year? Show your work.
Answer:
You would owe $1,263.75 in taxes at the end of the year.
Explanation:
To calculate the amount of income tax owed, you can use the formula:
Tax amount = Income * Tax rate
Given:
Income = $8,425
Tax rate = 15%
Substitute the values into the formula:
Tax amount = $8,425 * 0.15
= $1,263.75
So, you would owe $1,263.75 in taxes at the end of the year.
Which type of transformation is(x, y)-->(x + 2, y -2)?
A. Rotation
B. Reflection
C. Translation
D. Dilation
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:
A. (2, 5)
B. (2, -5)
C. (-2, 5)
D. (-5, -2)
What are the coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?
A. (–7,6)
B. (7,–6)
C. (1,6)
D. (2,–3)
The image of point A after a dilation of 3 is (6,15). What was the original location of point A?
A. (2,5)
B. (9,18)
C. (3,12)
D. (18,45)
(x, y)-->(x + 2, y -2) is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure
The given transformation is (x, y)-->(x + 2, y -2)
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
(x, y)-->(x + 2, y -2) is a translation.
If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point:
The rule for a rotation by 90 about the origin is (x,y)→(−y,x)
so (-2, 5)
The coordinates of P ’, the image of P (–4, 0) under the translation(x-3, y+6)?
P (–4-3, 0+6)
P'(–7,6)
The image of point A after a dilation of 3 is (6,15) then the original location of point A is (2, 5)
Hence, (x, y)-->(x + 2, y -2) is a translation. If point (5,2) is rotated counterclockwise 90° about the origin, its image will be point (-2, 5).
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WILL GIVE A BRAINLIEST SHOW ALL WORK PLEASE!!
A function is graphed on the coordinate plane.
What is the value of the function when x = -4?
look to see where the line is in the y direction at x=-4
it crosses at y=-3
so the value would be -3
How to find the number of sublevels in a principal energy level?
ANSWER ASAP 30 POINTS GIVEN
△MNP≅△QST
.
What is
m∠S
?
Enter your answer in the box.
Answer:- m∠S=78°.
Explanation:-
Given:- Two congruent triangles ΔMNP and ΔQST which are congruent, where m∠M=66° and m∠N=78°.
⇒The corresponding parts of ΔMNP are congruent to the ΔQST .
Therefore, all the corresponding sides of ΔMNP are congruent to the ΔQST and all the corresponding angles of ΔMNP are congruent to the ΔQST such that
MN=QS , NP=ST and MP=QT.
m∠M=m∠Q, m∠P= m∠T and m∠N=m∠S.
Substitute the value of m∠N=78°, we get
m∠S=78°.
If you were a lender, why would employment history or credit reports be important to you?
If I were a lender, the borrower's credit report will be important for me. The credit report should be positive and accurate if a person wants to borrow money from me. Good credit reports generate good credit scores and the higher the credit score, the lower the risk to me or the lender.
Similarly, employment history is a measure to check before lending money. This is because if a person has a good history and is working with good firms and on a regular basis, this develops trust that he will work properly pay off the debt. If a person is not responsible at work place and changes his jobs and cities frequently, then it is not sure if he can pay off the debt.
Banks also check these two things before lending any money. These information about a borrower develops trust among the lenders.
Employment history and credit reports gives an insight of an individual's past financial credibility, hence, they are useful in making a decision on whether to lend such individual and the amount that should be lent.
Employment history gives an account about whether a person is presently employed or not, and it also gives an insight about duration of stay with previous employers. Credit history gives an account into past financial details, the promptness exercised in repayment and if there are any pending debts.Therefore, these information are necessary for adequate decision making about the financial capability and integrity of the borrower.
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1)
The distance traveled in a car varies directly as the amount of gasoline used. If a car travels 520 miles and uses 26 gallons of gas, find the constant of variation or miles per gallon.
A)
18 mpg
B)
20 mpg
C)
22 mpg
D)
24 mpg
∠A and ∠B are vertical angles with m∠A=x and m∠B=5x−80 .
What is m∠A ?
The vertex of this parabola is at (-4, -1). When the y-value is 0, the x-value is 2. What is the coefficient of the squared term in the parabola's equation?
A. -3
B. 3
C. -6
D. 6
Answer:
the coefficient of the squared term for this parabola is 6
Step-by-step explanation:
2. Your Turn: How many elements are in the sample space for spinning a spinner labeled A, B, C, D? *
1 point
1
4
8
16
What is the remainder when the following polynomial division is performed? Place the answer in the proper location on the grid. Do not include parentheses in your answer.
(y4 – y3 + 2y2 + y – 1) ÷ (y3 + 1)
the remainder of this long division is 2y^2