You want to figure out how cherry cake is inside a can of Coca-Cola. The radius is 2 inches and the 3-D height is 6 inches. How much cherry coke fits inside the can?
Answer:
I think it is 75.36 cubic inches.
Step-by-step explanation:
First you have to get the formula which is A= πr^2
Then you do A=π2^2 which is A=π4
After you do 4π = 12.566370614359172953850573533118
Then 12.566370614359172953850573533118 x 6 inches which will get you
75.398223686155037723103441198708
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Find the minimum value of
C=4x+3
Subject to the following constraints :
x ≥ 0
y ≥ 0
2x+3y ≥ 6
3x - 2y ≤ 9
x+5y ≤ 20
Answer:
C=4x+3y Constraints: x is greater than or equal to 0 2x + 3y is greater than or equal to 6 3x - 2y is less than or equal to 9 x + 5y is less than or equal to 20
Encuentra la velocidad promedio de un móvil que durante su recorrido hacia el Norte tuvo las siguientes velocidades.
v1 = 18.5 m/s, v2 = 22 m/s, v3 = 20.3 m/s, v4 = 21.5 m/
The mean or average speed of a mobile moving north is: Vprom= 20.575 m/sec
The average speed of a series of given speed values is calculated by summing each of the speeds and then dividing by the number of speeds , as follows:
Speeds:
V1=18.5m/s
V2=22m/s
V3=20.3m/s
V4=21.5m/s
V avg =?
Average V = ( V1+V2+V3 +V4)/4
Vavg = (18.5m/s + 22m/s +20.3m/s + 21.5m/s)/4
Vavg = 20.575nm/sec
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i flip a coin 40 times. what is the expected number of pairs of consecutive tosses that comes up heads?
Answer:
20
Step-by-step explanation:
because you have a 50 % 50% shot of getting either.
Answer:
20
Step-by-step explanation:
in δefg, f = 61 inches, ∠f=79° and ∠g=34°. find the length of g, to the nearest 10th of an inch.
What is the area or the front side of the house
* What should be added to both sides in order to complete the square? x2 + 12x + = 20 + 144 O 36 O 12 O 25
Answer:
36
Step-by-step explanation:
because half of 12 is 6 and its square is 36
help me solve this plz, i really need it fr my grade
Answer:
4 hours
Step-by-step explanation:
You already have 700 words typed out, which means you have 5500-700 = 4800 words left to type. If you are typing at a rate of 20 words per minute, you will need 4800/20 = 240 more minutes to finish typing your essay. That is 240/60 hours, or 4 hours.
For x ≠ -3, 3 x+9 / x+3=
F x+12
J x
G x+9
K 3
H x+3
The expression (3x + 9)/(x + 3) simplifies to x + 3 for x ≠ -3.
To simplify the expression (3x + 9)/(x + 3), we can divide both the numerator and denominator by their greatest common factor (GCF), which is 3. This simplification is valid as long as x ≠ -3 to avoid division by zero.
Dividing the numerator 3x + 9 by 3 yields (3x + 9)/3, which simplifies to x + 3. Similarly, dividing the denominator x + 3 by 3 gives (x + 3)/3, which also simplifies to x + 3.
Therefore, the expression (3x + 9)/(x + 3) simplifies to x + 3 for x ≠ -3. This means that for any value of x except -3, the expression can be simplified to the simplified form x + 3.
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the function h(t) = −16t2 48t 36 models the height of a ball, in feet, at t seconds after being thrown into the air. what is a reasonable range for the function?
To determine a reasonable range for the function h(t) = -16t^2 + 48t + 36, we need to consider the physical context of the problem.
Since the function represents the height of a ball thrown into the air, the range of the function should be the set of all possible heights that the ball can reach. In this case, the ball is thrown upward and then falls back down due to gravity.
The vertex of the parabolic function can give us some insights. The vertex of the parabola h(t) = -16t^2 + 48t + 36 occurs at the value of t = -b/2a = -48 / (2 * -16) = 1.5 seconds. Plugging this value into the function, we find h(1.5) = 54 feet.
Therefore, a reasonable range for the function is all heights from 0 feet up to a maximum height of 54 feet. In interval notation, the range can be expressed as [0, 54].
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Find the volume of this triangular prism. NO LINKS
determine the range of the following graph
What is the order from least to greatest for |-3|, -1 , 0 , |-1 | , -5
Answer:
-5, -1, 0, |-1|, |-3|
Step-by-step explanation:
|-3| = 3
|-1| = 1
-5, -1, 0, 1, 3
Note that abosulate value changes the number to being positive at all times.
Best of Luck!
Answer:
-5, -1, 0, I-1I, I-3I
Step-by-step explanation:
A curve is defined by the parametric equations x(t) = e^-3t and y(t) = e^3t. What is d^2y/dx^2 in terms of t?
The second derivative of y with respect to x is 0 in terms of t.
To find the second derivative of y with respect to x, we need to use the chain rule and differentiate both x and y with respect to t, and then divide dy/dt by dx/dt.
First, we need to find dx/dt and dy/dt:
dx/dt = d/dt(e^-3t) = -3e^-3t
dy/dt = d/dt(e^3t) = 3e^3t
Now, we can find dy/dx:
dy/dx = (dy/dt)/(dx/dt) = (3e^3t)/(-3e^-3t) = -e^6t
Finally, we can find the second derivative of y with respect to x:
d^2y/dx^2 = d/dx(dy/dx) = d/dx(-e^6t) = 0
Therefore, the second derivative of y with respect to x is 0 in terms of t.
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when 1515 is appended to a list of integers, the mean is increased by 22. when 11 is appended to the enlarged list, the mean of the enlarged list is decreased by 11. how many integers were in the original list?
In the initial list, there were 4 integers.
We have the following system if the mean is m, x is the list's initial sum, and n is the number of integers in the list:
m = x/n , m + 2 = (x + 15) / (n + 1) and m + 1 = (x + 16) / (n + 2).
The initial equation is x = mn.
Therefore, changing x in the other two equations:
m + 2 = (mn + 15) / (n + 1) ..............(1)
m + 1 = (mn + 16) / (n + 2)...............(2)
Based on equation (1):
(m + 2)(n + 1) = mn + 15
mn + m + 2n + 2 = mn + 15
m + 2n + 2 = 15
m + 2n = 13
m = 13 - 2n.
Now change m in equation (2) to:
13 - 2n + 1 = ( n(13 - 2n) + 16) / (n + 2)
14 - 2n = (13n - 2n^2 + 16) / (n + 2) Through-multiplication by n + 2:
(14 - 2n)(n + 2) = 13n - 2n^2 + 16
14n + 28 - 2n^2 - 4n = 13n - 2n^2 + 16
10n + 28 = 13n + 16
12 = 3n
n = 4.
Hence, there were 4 integers in the original list.
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what is the circumference for something with a diameter of 5 inches
Answer:
15.7
Step-by-step explanation:
5 * 3.14 = 15.7
Answer:
Below
Step-by-step explanation:
CIRCUMFERENCE of a CIRCLE is given by : pi * d
Circumference = pi * 5 in = 15.7 inches (Don't forget UNITS !!)
Sofia has 25 coins in nickels and dimes in her pocket for a total of $1.65. How many of each type of coin does she have?
First complete the equations below, where N stands for nickels and D stands for dimes.
[?]N+[]D=1.65;N+D=[]
Hint: A nickel is worth $0.05 and a dime is worth $0.10.
Sofia has 17 nickels and 8 dimes in her pocket, for a total of $1.65.
To solve this problem, let's assign variables to represent the number of nickels and dimes Sofia has. Let's say N represents the number of nickels and D represents the number of dimes.
From the problem, we know that Sofia has a total of 25 coins. Therefore, we can write the equation: N + D = 25.
We also know that the total value of all the coins is $1.65. Since a nickel is worth $0.05 and a dime is worth $0.10, we can write the equation: 0.05N + 0.10D = 1.65.
To solve this system of equations, we can use substitution or elimination. Let's use substitution. We can solve the first equation for N: N = 25 - D.
Now, substitute the value of N in the second equation: 0.05(25 - D) + 0.10D = 1.65.
Simplify the equation: 1.25 - 0.05D + 0.10D = 1.65.
Combine like terms: 0.05D = 1.65 - 1.25.
Simplify the right side: 0.05D = 0.40.
Divide both sides by 0.05: D = 0.40 / 0.05.
D = 8.
Now, substitute the value of D back into the first equation to find N: N + 8 = 25.
Simplify the equation: N = 25 - 8.
N = 17.
Therefore, Sofia has 17 nickels and 8 dimes.
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24
Answer: y = 1/2x -4
Step-by-step explanation:
Use y=mx+b
Which statement is true?
a)Bill Gates and Guido van Rossum cofounded Microsoft.
b)Bjarne Stroustrup published the first reference guide for C++.
c)Paul Allen developed object-oriented programming.
d)John McCarthy led a team that developed FORTRAN.
Question is based upon our General knowledge in the field of IT and programming languages\(.\)
Let's see the choices:
1) It is true that Bill Gates founded teh Microsoft, but Guido Von Rossum is the founder of python. So, this is incorrect option.
2) Bjarne Stroustrup is the creater of C++ programming language, and also published the Annotated C++ reference manual. So, this is correct✓.
3) Paul Allen was the one who co-founded the Microsoft cooperation along with Bill Gates. So, this is also incorrect.
4) John McCathy invented or founded LISP, which came after FORTAN, So he isn't the founder of FORTAN. So, this is also Incorrect.
So, correct option is Option B
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What conversion factors would be used to convert grams per day to kilograms per week
Answer:
(1 kg)/(1000 g)(7 day)/(1 wk)Step-by-step explanation:
You want to know the conversion factors that would be used to convert grams per day to kilograms per week.
Conversion factorsA conversion factor is often expressed as a ratio that has its numerator equal to its denominator, but expressed with different units. The units of a conversion factor are generally chosen to be useful for the purpose of converting units you have to units you want.
ApplicationHere, we have mass units of grams, and we want mass units of kilograms. We know that ...
1000 g = 1 kg
so a suitable conversion factor is ...
(1 kg)/(1000 g)
The units we have (g) are put in the denominator, so that multiplying by this factor will cancel units of grams, leaving units of kilograms.
We have time units of days, and we want time units of weeks. The time units are in the denominator of the original value (g/day). We know that ...
7 day = 1 wk
so a suitable conversion factor is ...
(7 day)/(1 wk)
The time unit of day in the numerator will cancel the time unit of day in the original value, leaving time units of weeks in the denominator.
\(1\dfrac{\text{g}}{\text{day}}=1\dfrac{\text{g}}{\text{day}}\cdot\boxed{\dfrac{1\text{ kg}}{1000\text{ g}}\cdot\dfrac{7\text{ day}}{1\text{ wk}}}=\dfrac{7\text{ kg}}{1000\text{ wk}}=0.007\text{ kg/wk}\)
In this clip, Daniela analyzes Jose's characterization by asking, "Who's this
they we're hearing about?" Later she goes on to confirm that "they'is society. "
How do her question and her later statement help to connect the ideas
expressed during the discussion? Use evidence from the video to explain.
In the given video clip, Daniela analyzes Jose's characterization by asking, Later she goes on to confirm that "society." Daniela's question and her later statement help to connect the ideas expressed during the discussion because it helps the viewers to understand who or what "they" refers to.
By clarifying that "they" refers to society, Daniela connects the idea of Jose's character being influenced by society.In the video, Jose discusses his experiences of being an immigrant and how it influenced his identity and personality. Daniela's question and later confirmation help to emphasize the societal factors that played a role in Jose's experience as an immigrant and how it shaped his character. By asking "Who's this they we're hearing about?" Daniela directs the conversation towards the external factors that affected Jose. Her later statement confirming that "they" refers to society connects the idea that Jose's character was molded by societal norms and expectations. This highlights how societal factors play a key role in shaping our personality and identity, as seen in Jose's experience as an immigrant. Therefore, Daniela's question and later statement help to connect the ideas expressed during the discussion.
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Determine whether or not the following matrices are in row echelon form or not? (14.1) 12-2 01 2 00 5 (14.2) 100 0 1 3 01 1
The given matrix 14.1 is not in row echelon form, while the given matrix 14.2 is in row echelon form.
A matrix is said to be in row echelon form if it satisfies the following conditions:
All rows consisting entirely of zeros are at the bottom.
The first nonzero entry in each row called a leading entry, is to the right of the leading entry in the row above it.
All entries below a leading entry are zeros.
The leading entry in each nonzero row is equal to 1.
Looking at matrix 14.1, we can see that it does not satisfy the conditions for row echelon form. The second row does not have its leading entry to the right of the leading entry in the row above it. Also, the third row has a nonzero entry below its leading entry, violating the condition that all entries below a leading entry should be zeros.
On the other hand, matrix 14.2 does satisfy the conditions for row echelon form. All rows consisting of zeros are at the bottom, each row has its leading entry to the right of the leading entry in the row above it, and all entries below the leading entries are zeros. Therefore, matrix 14.2 is in row echelon form.
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Which expression shows another way to write 36+16?
4(9)+4
4(9+4)
6(6+8)
Answer:
4(9 + 4)
Step-by-step explanation:
36 + 16 ← factor out HCF of 4 from each term
= (4 × 9) + (4 × 4)
= 4(9 + 4)
another way to write 36 + 16 is 4(9) + 4(4).
To rewrite the expression 36 + 16 using the distributive property, we need to find a common factor that can be factored out. In this case, both 36 and 16 are divisible by 4. So, we can rewrite the expression as:
36 + 16 = 4(9) + 4(4)
Using the distributive property, we can further simplify this expression:
4(9) + 4(4) = 4 * 9 + 4 * 4
Now, we can calculate the values:
4 * 9 = 36
4 * 4 = 16
Therefore, another way to write 36 + 16 is 4(9) + 4(4).
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square root 5 x (square root 10 + square root 2)
Answer:
root of 50 + root of 10
answer 5root 2 plus root 10
Tom bought a bag full of coal. After one week the bag was 2 3 full. During the next week he used 1 4 of the remaining coal. What fraction was left in the bag?.
We conclude that there is zero (0) fraction of coal left in the bag with Tom.
What are fractions?Any number of equal parts is represented by a fraction, which also represents a portion of a whole.
A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
The number is represented mathematically as a quotient, where the numerator and denominator are split.
Both are integers in a simple fraction.
A fraction appears in the numerator or denominator of a complex fraction.
The numerator of a proper fraction is less than the denominator.
So, a fraction of coal left in the bag:
After 1 week the was 2/3 full. So, we have:
1 - 2/3 = 1/3
Next week, he used the remaining 1/3 coal. Now, we have:
1/3 - 1/3 = 0/0
Therefore, we conclude that there is zero (0) fraction of coal left in the bag with Tom.
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Correct question:
Tom bought a bag full of coal. After one week the bag was 2/3 full. During the next week, he used 1/3 of the remaining coal. What fraction was left in the bag?
Evaluate 9t when t=5.
ITS NOT 95 already tryed that
Answer:
45
Step-by-step explanation:
9x5=45
Answer:
45
Step-by-step explanation:
9t
substitute 5 for t
9(5)
9(5) is the same as 9 * 5
9 * 5 = 45
so when t = 5 the output is 45
20% of x is 100. what is X?
Answer:
ok so lets just make this into a algrebra equation
0.2x=100
divide each side by 0.2
100 divided by 0.2=500
500
Hope This Helps!!!
Answer:
X = 500
Step-by-step explanation:
20% x 5 = 100%
so we multiply 100 (20%) by 5 = 500.
Hope this helps!
Brainliest would be nice! : )
Blake has the following scores on his Algebra tests this semester: {100, 85, 55, 95, 75, 100} How many scores are within one standard deviation of the mean?
The number of Blake's scores that are within one standard deviation from the mean are; Five scores
What is a standard deviation?The standard deviation is obtained from the square root of the squared average of the squared differences between each data point in the dataset and the mean.
The mean of the scores is; (100 + 85 + 55 + 95 + 75 + 100)/6 = 85
The square of the difference are;
(100 - 85)² = 225, (85 - 85)² = 0, (55 - 85)² = 900, (95 - 85)² = 100, (75 - 85)² = 100, and (100 - 85)² = 225
The sum of the squares of the difference from the mean is therefore;
225 + 0 + 900 + 100 + 100 + 225 = 1550
The variance = The average of the squared deviation is therefore;
Variance = 1550/6 = 258.\(\overline{3}\)
The standard deviation is therefore; σ ≈ √(258.\(\overline{3}\)) ≈ 16.07
The scores that are one standard deviation from the mean are;
85 - 16.07 ≤ Score ≤ 85 + 16.07
68.93 ≤ Score ≤ 101.07
Therefore, the scores that are within one standard deviation from the mean are; 75, 85, 95, 100, 100, therefore, five scores are within one standard deviation from the mean.
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. Let X1, X2,... be a sequence of independent uniform [0, 1] random variables. For a fixed constant CE [0, 1], define the random variable N by N = min{n: X,, > c}.
(a) Explain in just a few words how N relates to the X's and c.
(b) Is N independent of XN? Give an intuitive explanation as well as a rigorous one.
N relates to X's and c in a manner that N is the minimum number n for which the nth random variable Xn is greater than the constant c. This suggests that N is determined by the first n Xn values that are less than or equal to c, since we are taking the minimum of the sequence.
The random variable N and XN are not independent. Intuitively, if XN is less than c, then N cannot be equal to N. We have two cases: if XN < c, then N = N, while if XN > c, then N < N. This means that knowing XN gives information about N, which means they are not independent.
Furthermore, we can prove this rigorously by using conditional probability.
The random variable N is defined as N = min{n : Xn > c}, where X1, X2, X3, ... is a sequence of independent uniform [0, 1] random variables and C is a constant in the range [0, 1]. This implies that N is the minimum index n such that the nth random variable Xn is greater than c.
Since N is the minimum index such that Xn > c, we can say that N is determined by the first n Xn values that are less than or equal to c, as we are taking the minimum of the sequence.
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Help!
Which of the following is an annual expense?
A)car insurance
B)electric bill
C)savings
D)rent
Among the given options, the annual expense would be A) car insurance
Car insurance is typically paid on an annual basis, providing coverage for potential damages or accidents involving the insured vehicle.
The policyholder pays a premium to the insurance company, which covers the cost of the insurance over the course of a year.
The other options listed, such as the electric bill (Choice B), savings (Choice C), and rent (Choice D), do involve financial transactions, but they may occur on different schedules.
The electric bill is typically a monthly or quarterly expense, while savings is a personal financial strategy involving setting aside money regularly. Rent is usually paid on a monthly basis for the use of a property.
Car insurance is the option that specifically relates to an annual expense, as it is a recurring payment made once a year for the coverage of an insured vehicle.
Correct option is A)car insurance.
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