If Jack weighs 156 pounds on Earth then his weight on the moon would be 26.52 pounds.
We can determine Jack's weight on the moon by multiplying his weight on Earth by the difference between the two gravities if the surface gravity on the moon is 0.17 of the surface gravity on Earth.
The first way to get Jack's weight on the moon is to multiply his weight on Earth (156 pounds) by the gravitational ratio between the two bodies. (0.17).
Our total weight is 156 × 0.17 = 26.52 pounds.
Jack would therefore weigh around 26.52 pounds on the moon. This is due to the fact that the gravitational force between two objects is inversely proportional to the square of their separation and directly proportional to the product of their masses.
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s variables are added to the stack, do the addresses get smaller or larger? 6. do variables stored on the stack ever have the same address as other variables? why or why not?
The stack grows downwards in memory, meaning that as new variables are added, they are allocated at lower memory addresses compared to previously allocated variables.
Regarding whether variables stored on the stack can have the same address as other variables, it is possible but highly unlikely. Each variable on the stack is typically allocated a unique memory address. The compiler and the underlying system manage the allocation of memory for variables on the stack to ensure that they do not overlap or share the same address.
However, it's worth noting that certain scenarios, such as when using recursion or nested function calls, may lead to temporary overlapping of stack frames. In such cases, variables within different stack frames may have the same relative addresses, but they still have distinct absolute addresses within their respective stack frames.
In general, the stack is organized in a way that ensures variables have distinct addresses to maintain proper memory isolation and prevent unintended data corruption.
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Two people are looking at the top of a totem pole that is 65 feet tall. When the two people are looking at the top of the totem pool, they are exactly 200 feet apart. The person closest to the totem pole has an angle of elevation to the top of the totem pole of 26 degree, as shown.
What is the value of x, rounded to the nearest hundredth?
Answer:
26.7
Hope this helped
4 x 0.24 without using calculator
Answer:
0.96
Step-by-step explanation:
I know that 24 x 4 = 96, then you just put a zero in front, making 0.96
Hope this helped
Answer:
0.96
Step-by-step explanation:
Rebecca carries a balance on her credit card each month. Today is the first day of the new. 28-day billing cycle. The current balance is x and the APR is 24%.
Rebecca is buying a friend an expensive gift that costs $1,400 that she plans to put on her credit card. This will be her only purchase this month. Sed she will be
making this purchase on the last day of the month. Part A if her finance charge will be $51 write and solve an equation to determine her current balance on her credit card show your work. Part B How much in finance charges can she save by making the purchase on the last day of the billing cycle
Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.
Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.
How do equations work?
A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.
Equation symbols (=) are used to represent equations.
A finance charge is what?
The interest and other fees levied on credit cards are included in a finance charge.
Typically, the finance charge is based on a stated APR (annual percentage rate).
The month's billing cycle lasts for 28 days.
Balance at current starting = x.
APR = 24%, or annual percentage rate.
The monthly percentage rate (MPR) equals 2% (24% divided by 12).
The final day's purchase cost $1,400.
$51 is the total finance fee for the month.
($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.
$50 ($51 - $1) serves as the initial balance's finance charge.
The starting balance at this time is x = $2,500 ($50 x 2%).
Current Beginning Balance Equation: x = 51 - 1 0.02
($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.
Finance charge savings from buying on the last day equals $27 ($28 - $1).
By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.
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dren. what is the probability that an individual in this survey has fewer than three children? at least one child? five or more children?
Let's say that out of 100 individuals surveyed, 40 have fewer than three children. The probability of an individual in this survey having fewer than three children would be 40/100 or 0.4.
To calculate the probability of an individual in the survey having fewer than three children, we would need to know the total number of individuals surveyed and how many of those individuals have fewer than three children. Let's say that out of 100 individuals surveyed, 40 have fewer than three children. The probability of an individual in this survey having fewer than three children would be 40/100 or 0.4.
To calculate the probability of an individual in the survey having at least one child, we would need to know how many individuals in the survey have no children. Let's say that out of the 100 individuals surveyed, 20 have no children. The probability of an individual in this survey having at least one child would be (100-20)/100 or 0.8.
To calculate the probability of an individual in the survey having five or more children, we would need to know how many individuals in the survey have five or more children. Let's say that out of the 100 individuals surveyed, only 2 have five or more children. The probability of an individual in this survey having five or more children would be 2/100 or 0.02.
To determine the probability of an individual in this survey having fewer than three children, at least one child, or five or more children, you will need specific data or information about the distribution of children per family in the survey. Once you have that information, you can calculate the probabilities by dividing the number of individuals meeting each condition by the total number of individuals in the survey.
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a bag contains 20 marbles that are the same size. they have colors that break down as following: 8 white marbles, 5 red marbles, 7 blue marbles. if a single marble is pulled out of the bag at random, find the probability that the marble is white. write your answer as a fraction in simplest form.
The Probability of pulling a white marble from the bag is 2/5.
To find the probability of selecting a white marble from the bag, we need to determine the number of favorable outcomes (white marbles) and the total number of possible outcomes (all marbles).
The bag contains a total of 20 marbles, of which 8 are white. Therefore, the number of favorable outcomes is 8 (white marbles).
The total number of possible outcomes is the sum of all marbles in the bag, which is 20.
The probability of selecting a white marble can be calculated as:
Probability (White Marble) = Number of Favorable Outcomes / Total Number of Possible Outcomes
Probability (White Marble) = 8 / 2
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 4:
Probability (White Marble) = 2 / 5
Therefore, the probability of selecting a white marble from the bag is 2/5.
In conclusion, the probability of pulling a white marble from the bag is 2/5.
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Find the value of z.
I really need the answer now pls help me asap!!
Answer:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
Step-by-step explanation:
1 A
2 B
3 D
4 B
5 A
6 D
7 C
8 B
9 C
WHAT IS 0.5/1.5 SQUARED
Step-by-step explanation:
.5 / 1.5 is 1/3 (1/3)^2 = 1/9
Answer: 0.09
Step-by-step explanation:
0.5 ÷ 1.5 = 0.3 0.3squared = 0.09
simplify 3^x = 9^1/2 × 27^2
Answer:
x = 7
Step-by-step explanation:
3^x = (3^2)^1/2 * 3^6
3^x = 3 * 3^6
3^x = 3^7
x = 7
What are the coordinates of point K ?
Please give correct answer ASAP!!! I will give 20 points !!
Answer:
(-4,0)
Step-by-step explanation:
coordinate (x,y)
x=-4
y=0
Answer: (-4,0)
Step-by-step explanation: so its set up as (x,y) for coordinating points!
You pick a card at random.
What is P(even or prime)?
Write your answer as a percentage
Probability of picking an even or prime card at random is approximately 88.89%.
To find the probability of picking an even or prime card at random, we first need to identify the possible cards that meet these conditions.
In a standard deck of cards, there are 52 cards, but we only consider the numerical values, which are 2-10 for each of the four suits (hearts, clubs, spades, and diamonds).
Even numbers: 2, 4, 6, 8, 10
Prime numbers: 2, 3, 5, 7
Combining the even and prime numbers, we have: 2, 3, 4, 5, 6, 7, 8, 10. Note that 2 appears only once in the combined list.
Now we find the probability by dividing the number of favorable outcomes (even or prime numbers) by the total number of possible outcomes (cards numbered 2-10).
P(even or prime) = (Number of even or prime cards) / (Total number of cards from 2-10)
P(even or prime) = 8 / 9
To express the probability as a percentage, multiply by 100:
P(even or prime) = (8 / 9) × 100 ≈ 88.89%
So, the probability of picking an even or prime card at random is approximately 88.89%.
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......................................
I love this
Answer:
yeah.. im here for u if u need it
Step-by-step explanation:
Write the sentence as an equation.
247 is equal to 144 more than the quantity 195 times v
Answer:
247 = 144 + (195 ⋅ v)
find slope of the line passes through (7, 3)and (9, 6
Answer:
slope = 3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)
= (6-3)/(9-7)
= 3/2
Hope this helps! :3
plz mark as brainliest!
Pls help question about total pay
Show working out
\(7\frac{1}{2}\implies 7.5\hspace{5em}1\frac{1}{4}\implies 1.25 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{Monday through Friday} }{\stackrel{ days }{(5)}\stackrel{ rate }{(10.80)}\stackrel{ hours }{(7.5)}}~~ + ~~\stackrel{ Saturday }{\stackrel{ days }{(1)}\stackrel{ rate }{(10.80)(1.25)}\stackrel{ hours }{(7.5)}} \\\\\\ 405~~ + ~~101.25\implies \text{\LARGE 506.25}\)
Select the correct answer.
Which of the graphs below represents the equation 3x - 2y = -12
Answer:
Graph B
Step-by-step explanation:
First you solve them which will give you,
X-intercept = (-4,0)
Y-intercept = (0,6)
Slope 3/2x
equation for this: y = 3/2x + 6
So graph B is the only option like this.
Sylvia invested $500 in an account compounded annually with an interest rate of 8%. manuel invested $600 in an account with a compound interest rate of 7.25%. using the rule of 72, startfraction 72 over t endfraction, who will double their money first?
a. sylvia will double her money first, in approximately 9 years.
b. manuel will double his money first, in approximately 10 years.
c. manuel will double his money first, in approximately 9 years.
d. sylvia will double her money first, in approximately 10 years.
Using the rule of 72, startfraction 72 over t endfraction, Manuel will double his money first, in approximately 9 years. Option C is the answer.
The rule of 72The rule of 72 is a quick and simple way to estimate the number of years it takes for an investment to double given the
interest rate. It is calculated by dividing 72 by the interest rate.
For example, if an investment has an interest rate of 8%, it will take approximately 72 / 8 = 9 years to double the investment.
Applying this rule, we can estimate the time it will take for Sylvia's investment to double: 72 / 8 = 9 years.
And for Manuel's investment to double: 72 / 7.25 = 10 years.
Since Manuel's investment will double in approximately 9 years, he will double his money first.
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The following system of equations is designed to determine concentrations (the c's in g/m³) in a series of coupled reactors as a function of the amount of mass input to each rector (right hand sides in g/day): 10c2c₂cy -3c-6c₂+2c3=-61.5 C₂+503
Solve this problem with the Jacobi's iterative method to 5%.
The solution for the system of equations is Ax = b as the matrix is invertible (or non-singular) if and only if its determinant is not zero.
To solve a system of equations, we can use matrix algebra. We can write the system of equations in matrix form as follows:
Ax = b
where A is the matrix of coefficients, x is the vector of unknowns (the concentrations), and b is the vector of right-hand sides (the mass inputs).
To solve for x, we can multiply both sides by the inverse of A:
x = \(A^{-1}b\)
where \(A^{-1}\) is the inverse of A.
However, not all matrices have inverses. A matrix is invertible (or non-singular) if and only if its determinant is not zero. So, before we can solve for x, we need to check if A is invertible by calculating its determinant.
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Please help quickly!!
Step-by-step explanation:
given,
height = 7cm
radius = 3cm
length of label that is overlap = 1.5cm
we know,
lateral area of cylinder = 2πrh
so, after inserting the values we got
→ 2 × 22/7 × 3 × 7
→ 2 × 22 × 3
→ 44 × 3 = 132 cm²
and as given it is 1.5cm overlap so, 132 × 1.5 cm
= 198 cm²
so, area of the label is 198 cm².
hope this answer helps you dear...take care and may u have a great day ahead !
Determine the common factors and HCF for each of the following terms.
b) 2b, 3b
e) 5bc, 2c2, 3cd
f) 4a2b, 8b2c, 6bcd
Help please and explanation..
Answer: Please see explanation column for answers
Step-by-step explanation:
When a number divides into another number without a remainder, it s called a factor of that number. Lets say we want to find the common factors of two numbers, we get the factors of each one and compare them. The common factor is the one that is found in both lists
While The Highest common factor, is the highest factor number found in both lists.
b) 2b , 3b
Factors of 2b= 1, 2 and b
Factors of 3b=1, 3 and b
Common factors =1 and b
HCF=1b
e) 5bc, 2c2, 3cd
Factors of 5bc= 1, 5, b, c
Factors of 2c2= 1, 2, c, c2
Factors of 3cd= 1, 3, c, d
Common factors = 1 and c
HCF= 1c
f) 4a2b, 8b2c, 6bcd
Factors of 4a2b= 1, 2, 4, a, a2, b
Factors of 8b2c= 1, 2, 4, 8, b, b2, c
Factors of 6bcd= 1, 2,3,6, b, c,d
Common factors = 1, 2 , b
HCF= 2b
Bonnie measured a city and made a scale drawing. a neighborhood park is 115 inches long in the drawing. the actual park is 138 yards long. what is the scale of the drawing? 5 inches : _ yards
The scale of drawing of Bonnie's drawing is 5 inches : 6 yards.
How to solve scale drawing?She measured a city and made a scale drawing.
The neighbourhood park is 115 inches long in the drawing. The actual park is 138 yards long.
Therefore, the scale of the drawing can be calculated as follows:
Hence,
115 inches = 138 yards
5 inches = ?
cross multiply
scale of the drawing = 5 × 138 / 115
scale of the drawing = 690 / 115
Therefore,
scale of the drawing is 5 inches : 6 yards
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This one is definitely tricky
The tangent of 15º is given as follows:
\(\tan{15^\circ} = = \frac{2 - \sqrt{3}}{2}\)
How to calculate the tangent of 15º?The double angle measure to 15º is given as follows:
30º.
The half angle theorem for the tangent is given as follows:
tan(x/2) = (1 - cos(x))/sin(x).
At x = 30º, the sine and the cosine are given as follows:
sin(x) = 1/2.\(\cos{x} = \frac{\sqrt{3}}{2}\)Hence the numerator is given as follows:
\(1 - \frac{\sqrt{3}}{2} = \frac{2 - \sqrt{3}}{2}\)
For the fraction, the numerator is multiplied by the inverse of the denominator, hence we simplify the 2 terms and the tangent is given as follows:
\(\tan{15^\circ} = = \frac{2 - \sqrt{3}}{2}\)
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Plz help me with this math problem
Answer:
c and a because x = a smaller number
Find the measure of each angle indicated. Round to the nearest tenth.
A) 65.20
C) 55.1°
B) 51°
D) 55.70
Answer:
51
Step-by-step explanation:
=====================================================
The reference angle has AC = 12.3 as the opposite side and BC = 8.4 as the adjacent side. The tangent ratio ties the opposite and adjacent sides together.
--------
tan(angle) = opposite/adjacent
tan(theta) = AC/BC
tan(theta) = 12.3/8.4
theta = arctan(12.3/8.4)
theta = 55.6697828044967
theta = 55.7 degrees approximately
--------
arctan is the same as inverse tangent which is written as \(\tan^{-1}\)
make sure your calculator is in degree mode
In 2012, gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that random samples of 100 respondents were selected from both vermont and hawaii. From the survey, vermont had 65. 3% who said yes and hawaii had 62. 2% who said yes. What is the value of the sample proportion of people from vermont who exercised for at least 30 minutes a day 3 days a week?.
in the sample of 100 respondents from Vermont, 65.3% of them reported exercising for at least 30 minutes a day for three days out of the week.
The value of the sample proportion of people from Vermont who exercised for at least 30 minutes a day 3 days a week can be calculated as:
sample proportion = 65.3% = 0.653
what is minute?
In this context, "minute" likely refers to the amount of time spent exercising per day. Specifically, the survey asked if participants had exercised "more than 30 minutes a day for three days out of the week."
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what could the lengths of the legs be such that the hypotenuse is an irrational number between 5 and 7
Answer:
AHHHHHH
Step-by-step explanation:
Your committee is voting on their logo. There are 7 possible logos and
you are to rank your top 3 logos. How many different combinations of 3 logos can you create?
Answer:
21
Step-by-step explanation:
3x7=21 possible combinations
Question
F(x) = x! × x² - 2² + 3²
F(5) = ......
• Use Method
• Neat
• No nonsense
• No alien language
Notes : ........
F(x) = x! × x² - 2² + 3²
F(5) = 5! × 5² - 2² + 3²
F(5) = 120 × 25 - 4 + 9
F(5) = 3.000 - 4 + 9
F(5) = 2.996 + 9
F(5) = 3.005
I hope this helps
Identify the surfaces with the given vector equations describes r(u, v) = (u, 4v, u^2 - v^2) describes r(u, v) = (sin(u), v, 3 cos(v)) describes r(s, t) = 5si + (5 + t - 4) j + tk describes r(s, t) = t sin(s) i + 5t^2j + t cos(s) k
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.
In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).
Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.
The surfaces described by the given vector equations are:
1.The surface is a hyperbolic paraboloid.
2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.
3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.
4.The surface is a twisted cylinder along the y-axis.
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