Answer:
The correct equation that describes the surface area is [tex]A_{s} = 2\pi \cdot r^{2}+\frac{326}{r}[/tex] and we need to multiply [tex]\frac{163}{r}[/tex] by 2 in the equation described in the statement to correct the equation.
Step-by-step explanation:
Let suppose that the can of cat food is a right cylinder. The surface area of the cylinder ([tex]A_{s}[/tex]), measured in square centimeters, is the sum of the areas of the circular walls ([tex]A_{cw}[/tex]) and the non-circular wall ([tex]A_{ncw}[/tex]), both measured in square centimeters. That is:
[tex]A_{s} = 2\cdot A_{cw}+A_{ncw}[/tex] (1)
By Geometry, we expanded the equation above:
[tex]A_{s} = 2\pi\cdot r^{2}+2\pi\cdot r\cdot h[/tex] (1b)
Where:
[tex]r[/tex] - Radius, measured in centimeters.
[tex]h[/tex] - Height, measured in centimeters.
And the volume of the right cylinder ([tex]V[/tex]), measured in cubic cnetimeters, is defined by the following formula:
[tex]V = \pi\cdot r^{2}\cdot h[/tex]
Then, we clear the height of the cylinder within the volume formula:
[tex]h = \frac{V}{\pi\cdot r^{2}}[/tex] (2)
By substituting in (1b), we obtain the following equation:
[tex]A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]
[tex]A_{s} = 2\pi\cdot r^{2}+\frac{2\cdot V}{r}[/tex] (1c)
If we know that [tex]V = 163\,cm^{3}[/tex], then the equation for the surface area of the cylinder is:
[tex]A_{s} = 2\pi \cdot r^{2}+\frac{326}{r}[/tex]
In a nutshell, we need to multiply [tex]\frac{163}{r}[/tex] by 2 to correct the equation.
I’m training my robot to eat Ludies cupcakes. Every 4 days it eats 2 cupcakes and I’d like enough for the next 12 days. Thank you kindly.
Answer:
24 cupcakes
Step-by-step explanation:
4 divided by 2 is 2, so you do 12 times 2 and you get 24.
Diane had 0.9 grams of pepper. Then she used 0.6 grams of the pepper to make some scrambled eggs. How much pepper does Diane have left? 10min left!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Diane had 0.3 grams of pepper left
Step-by-step explanation:
If she had 0.9 grams of pepper, we can subtract the amount of pepper she used (0.6) to find out how much she has left.
0.9 - 0.6 = 0.3
(sorry if this is confusing but I hope it helped)
Answer:
She has 0.3 grams of pepper left.
Step-by-step explanation:
0.9 g - 0.6 g = 0.3 g
It's just like answering 9 - 6 (= 3) but moving he decimal forward 1 placement.
Today, everything at a store is on sale. The store offers a 20% discount.
0
0%
20%
40%
6096
80%
100%
120%
Find the median of the following numbers: 195, 230, 200, 226
Answer: 213
Step-by-step explanation: The median is the middle number
in the data set when the data set is written from least to greatest.
So let's start with writing ur data set from least to greatest.
So we have 195, 200, 226, 230.
Notice that there are two middle numbers.
If there are two middle numbers in the data set,
we find the median by taking their average.
In other words, we add the two middle numbers and divide by two.
So we have 200 + 226/2 or 426/2 which is 213.
Can someone help on how many dresses does Lucy sew in a hour?
I need some Help please
Answer:
a) f(2) = 4
b) g(3) = 3
c) g(1/3) = -1
d) f(3) = 1/2
e) g(-2) = 2
f) f(π) = 3
Step-by-step explanation:
We are given:
f={(2,4),(-4,3),(3,1/2),(π,3)} and g={(3,3),(-2,2),(1/3,-1)}
We need to find the following values of f and g
a) f(2)
f(2) means when x=2, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =2 then y=4
So, f(2) = 4
b) g(3)
g(3) means when x=3, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =3 then y=3
So, g(3) = 3
c) g(1/3)
g(1/3) means when x=1/3, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =1/3 then y=-1
So, g(3) = -1
d) f(3)
f(3) means when x=3, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =3 then y=1/2
So, f(3) = 1/2
e) g(-2)
g(-2) means when x=-2, we need to find the value of y.
Looking at the given g={(3,3),(-2,2),(1/3,-1)}, when x =-2 then y=2
So, g(-2) = 2
f) f(π)
f(π) means when x=π, we need to find the value of y.
Looking at the given f={(2,4),(-4,3),(3,1/2),(π,3)} , when x =π then y=3
So, f(π) = 3
A red-hot sword was plunged into cold water. This caused the temperature difference between the sword and
the water to decrease rapidly.
The relationship between the elapsed time t, in seconds, since the sword was plunged into water, and the
temperature difference, D(t), is modeled by the following function:
t
9.7
D(t) = 256
4
Complete the following sentence about the decay rate of the temperature difference.
1
The temperature difference is reduced by a factor of
4
every
seconds.
Answer:
every 9.7 seconds
Answer:
9.7 seconds
Step-by-step explanation:
Got it correct on Khan Academy:
HELP PLEASE ASAP
Will give brainliest
Answer:
haha i am an adult
Step-by-step explanation:
dont cheat in school
A plane is at 8000 feet above the ground. It descends at a rate of 550 feet per minute. Write an equation to model this situation.
How long would it take the plane to reach the ground?
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 minutes. What is the probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Answer:
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
Uniformly distributed over the interval 40 to 75 minutes.
This means that [tex]a = 40, b = 75[/tex]
It is known that the cycle time exceeds 45 minutes
This means that we can use [tex]a = 45[/tex]
What is the probability that the cycle time exceeds 50 minutes?
[tex]P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333[/tex]
0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes
What expressions represent 1/3 times the sum of 8 and 4
Answer:
1/3 * (8 + 4)
Step-by-step explanation:
Expression which represents 1/3 tines the sum of 8 and 4
Expressing mathematically,
Sum of 8 and 4 is written as (8 + 4)
1/3 of the sum is expressed as ; 1/3 x (8 + 4)
Hence,
1/3 * (8 + 4)
1/3 * 12
= 4
Expression is 1/3 * (8 + 4)
Result = 4
• 6 mystery books
5 science books
• 4 history books
3 adventure books
.
Robero will randomly choose 1 book to read. What is the probability that he will
choose an adventure book?
Answer:
Step-by-step explanation:
How many books are there?
6+5+4+3 = 18 books total
How many are adventure books?
3
3 out of 18 books are adventure books
Robero has a 3/18 probability of choosing an adventure book.
Your teacher might want that probability in the lowest possible form. That is because it is the easiest to use and to understand.
You can do this by dividing both numbers by the "numerator" which is the first number in the fraction, (the adventure book count).
3/3 = 1
18/3 = 6
So the fraction can be reduced to 1/6.
Robero has a 1/6 chance of choosing an adventure book.
Xander walks 4 laps around a track in 16 minutes. (Use decimal numbers if appropriate)
A. How many minutes per lap is that?
B. How many laps per minute is that?
C. If Xander walks 9 laps at the same rate, how long does it take him?
Answer:
a. 4 minutes per lap
b. 0.25 laps per minute
c. 36 minutes
Step-by-step explanation:
a. divide 16 by 4 to get the answer
b. divide 4 by 16 to get the answer
c. divide 9 by 4 to get 2.25 then multiply 2.25 by 16 to get 36
Write the polynomial in standard form (-5x^3+6x^2-3x+7)+(7x^3+8x^2-10x-10)
Answer:
2x^3 +14x^2 -13x-3
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. 6(5x minus 3)
Answer:
30x - 18
Step-by-step explanation:
6(5x - 3)
To distribute, multiply the outside number by everything inside the parentheses.
6 x 5x = 30x
6 x -3 = -18
30x - 18
I hope this helps!
A car travels 5/16 of a mile in 1/4 of a minute. How many miles will the car travel in 2 1/4 minutes?
Answer: 2 13/16 miles
Step-by-step explanation:
From the question, we are informed that a car travels 5/16 of a mile in 1/4 of a minute. The number of miles that the car will travel in 2 1/4 minute will be calculated as:
= 5/16 ÷ ( 1/4 / 2 1/4)
= 5/16 × 2 1/4 / 1/4
= 5/16 × (9/4 ÷ 1/4)
= 5/16 × 9
= 45/16
= 2 13/16 miles
The car will travel 2 13/16 miles in 2 1/4 minutes.
What is the difference of
5
6
−
5
12
? Use the fraction strip to help.
Answer:
The difference is 5/12.
Step-by-step explanation:
Which numbers form a Pythagorean triple?
Answer:
A. 9, 12, 15
Step-by-step explanation:
9, 12, 15 is a set of numbers that form pythagorean triple because it satisfies the equation, a² + b² = c².
Where, c is the longest side while a and c are the two other legs of the triangle.
Thus:
9² + 12² = 15²
225 = 225 (this is true).
Can someone please help me answer this ?
Answer:
113.6 feet
Step-by-step explanation:
set up a proportion of height of structure over height of shadow
let t = height of tree
t = 125
5 5.5
cross-multiply: 5.5t = 625
t = 625 / 5.5
The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
[tex] \frac{9}{16} [/tex]
[tex] \frac{7}{16} [/tex]
[tex] \frac{9}{7} [/tex]
[tex] \frac{7}{9} [/tex]
Answer:
9:7
Step-by-step explanation:
32-18=14
18:14
9:7
hope this helps :)
Find the largest and smallest whole number when rounded to the nearest hundred to give 1600.
Answer:
Step-by-step explanation:
Smallest and largest whole number which gives 1600 when rounded to the nearest hundred.
The lowest whole number is 1550
The highest while number is 1649
Wheb rounding to the nearest hundred, the tens value which comes after the hundred value is carefully observed, of the tens value is less than 5, then it is rounded down to zero. However, if the tens value is greater than or equal to 5, it is rounded to 1 and added to the hundred value.
Numbers below 1550 will not round to 1600 (nearest 100) also numbers greater than 1649will not round to 1600(nearest 100).butvall numbers in between them will round to 1600 (nearest hundred)
9.) In a state with a sales tax of 7%, Hernando
spends a total of $73.98. What is the final price
after tax that Hernando has to pay? Show work.
Answer:
Final price = $79.16
Step-by-step explanation:
Given that:
Sales tax in the state = 7%
Amount spent by Hernando = $73.98
Amount of sales tax = 7% of 73.98
Amount of sales tax = [tex]\frac{7}{100}*73.98[/tex]
Amount of sales tax = 0.07 * 73.98
Amount of sales tax = $5.18
Final price = 73.98 + 5.18 = $79.16
Hence,
Final price = $79.16
I’m a little confused so if you could really help me thank you (don’t just answer because of the points)
The term is a
The base would be b
Answer:
ok so the base is this 10³ so like 10 is the base and a term is a math expression
Step-by-step explanation:
What are the solutions to –2x+ 2 = (3) +1?
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+2=3+1
Step 1: Simplify both sides of the equation.
2x+2=3+1
2x+2=(3+1)(Combine Like Terms)
2x+2=4
2x+2=4
Step 2: Subtract 2 from both sides.
2x+2−2=4−2
2x=2
Step 3: Divide both sides by 2.
2x2=22
x=1
What is the answer to this?
Answer:
A. Correct
B. Correct
C. Incorrect
D. Incorrect
E. Incorrect
Step-by-step explanation:
A and B. are correct because when divided down to decimals they equal 0.5
Answer:
A and B
Step-by-step explanation:
5 divided by 10 equals 0.5
50 divided by 100 equals 0.5
5/10 is also known as 5 divided by 10
Using the coordinate plane below, find the distance between each pair of points. 1. (-3, 6) and (-3, 10) 2. (4, -5) and (-2, -5) 3. (6, 4) and (6, -1) 4. (-9, 1) and (-4, 1)
Answer:
1. 4
Step-by-step explanation:
(-3, 6) and (-3, 10)
|-3 - 3| = 0, |6 - 10| = 4
4² + 0² = 16, [tex]\sqrt{16}[/tex] = 4
(4, -5) and (-2, -5)
|4 - -2| = 6, |-5 - 5| = 0
6² + 0² = 36, √36 = 6
(6, 4) and (6, -1)
|6 - 6| = 0, |4 - -1| = 5
5² + 0² = 25, √25 = 5
(-9, 1) and (-4, 1)
|-9 - -4| = 5, |1 - 1| = 0
5² + 0² = 25, √25 = 5
Answer:
Drag each set of coordinates to the correct location on the table.
Calculate the distance between the pairs of coordinates, and classify them according to the distance between them.
(3, 4) and (2, 1)
(3, 7) and (5, 2)
(5, -2) and (3, 3)
(-2, 3) and (1, 2)
(-4, -2) and (-3, 1)
(4, -1) and (-1, 1)
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
The answer is: 7c and 3fl oz
let me know if you can see the expression if not I will just type it.
Answer:
-15x+24
Step-by-step explanation:
You can write that as:
[tex](-6x+36)-(12x-3x+12)\\-6x+36-12x+3x-12\\-15x+24[/tex]
A minivan is traveling 10 mph faster than a truck. The minivan is traveling at a rate of
60 mph. Let t represent the speed of the truck.
Which formula would correctly relate the speed of the truck to the speed of the minivan?
t + 10 = 60
t- 10 = 60
t + (t + 10) = 65
t + (t - 10) = 60
which one of these formulas would be beds
Answer:
t=(-10)=60
Step-by-step explanation:
Answer:
t=(-10)=60 i think i had this on my homework last week
Step-by-step explanation:
Edison delivers 1/5 of the newspapers in the neighborhood, and Anita delivers 1/2 of them. Together, Edison and Anita deliver what fraction of the newspapers?
Answer:
7/10 of the newspapers
Step-by-step explanation:
Pls give me brainliest if it helps (:
