Answer:
Step-by-step explanation:
Snorkel, mask, and flippers Slope: 2 (so in the equation, it would look like 2x).
Snorkel, mask, and flippers Y-intercept: 10 (12 - 2 = 10, which is 0 hours, possibly the initial amount)
Snorkel, mask, and flippers Slope intercept form: y = 2x + 10
Find the slope of the line that passes through (8, 13) and (10, 10).
Answer:
-3/2
Step-by-step explanation:
use slope formula
y1-y2/x1-x2
What is -6/5 divided by -1/2
Answer:
.6
Step-by-step explanation:
Answer:
18/5, 3 3/5
Step-by-step explanation:
What type of number is -4pi
A) whole number
B) Integer
C) Rational
D) Irrational
Answer: D
Step-by-step explanation:
Irrational numbers cannot be expressed as a ratio of two integers.
Answer:
D only
Step-by-step explanation:
2-1, An incompressible fluid is flowing at steady state in the annular region (i.e., torus or ring between two concentric cylinders). The coaxial cylinders have an outside radius of R and inner radius of a R. Find: (a) Shear stress profile (b) Velocity profile (c) Maximum and average velocities 2-2. Repeat problem 2-1 for flow between very wide or broad parallel plates separated by a distance 2h.
2-1. a) The shear stress τ is constant across the flow. b) The velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases. c)v_max = (P₁ - P₂) / (4μL) * \(R^{2}\) and v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr 2-2.a) The shear stress is constant for parallel plates. b) The velocity profile shows that the velocity is maximum at the centerline and decreases parabolically .c)v_max = (P₁ - P₂) / (2μh) and v_avg = (1 / (2h)) * ∫[-h to h] v dr.
2-1. Flow in an annular region between concentric cylinders:
(a) Shear stress profile:
In an incompressible fluid flow between concentric cylinders, the shear stress τ varies with radial distance r. The shear stress profile can be obtained using the Navier-Stokes equation:
τ = μ(dv/dr)
where τ is the shear stress, μ is the dynamic viscosity, v is the velocity of the fluid, and r is the radial distance.
Since the flow is at steady state, the velocity profile is independent of time. Therefore, dv/dr = 0, and the shear stress τ is constant across the flow.
(b) Velocity profile:
To determine the velocity profile in the annular region, we can use the Hagen-Poiseuille equation for flow between concentric cylinders:
v = (P₁ - P₂) / (4μL) * (\(R^{2} -r^{2}\))
where v is the velocity of the fluid, P₁ and P₂ are the pressures at the outer and inner cylinders respectively, μ is the dynamic viscosity, L is the length of the cylinders, R is the outer radius, and r is the radial distance.
The velocity profile shows that the velocity is maximum at the center (r = 0) and decreases linearly as the radial distance increases, reaching zero at the outer cylinder (r = R).
(c) Maximum and average velocities:
The maximum velocity occurs at the center (r = 0) and is given by:
v_max = (P₁ - P₂) / (4μL) * \(R^{2}\)
The average velocity can be obtained by integrating the velocity profile and dividing by the cross-sectional area:
v_avg = (1 / (π(\(R^{2} -a^{2}\)))) * ∫[a to R] v * 2πr dr
where a is the inner radius of the annular region.
2-2. The flow between parallel plates:
(a) Shear stress profile:
For flow between very wide or broad parallel plates, the shear stress profile can be obtained using the Navier-Stokes equation as mentioned in problem 2-1. The shear stress τ is constant across the flow.
(b) Velocity profile:
The velocity profile for flow between parallel plates can be obtained using the Hagen-Poiseuille equation, modified for this geometry:
v = (P₁ - P₂) / (2μh) * (1 - (\(r^{2} /h^{2}\)))
where v is the velocity of the fluid, P₁ and P₂ are the pressures at the top and bottom plates respectively, μ is the dynamic viscosity, h is the distance between the plates, and r is the radial distance from the centerline.
The velocity profile shows that the velocity is maximum at the centerline (r = 0) and decreases parabolically as the radial distance increases, reaching zero at the plates (r = ±h).
(c) Maximum and average velocities:
The maximum velocity occurs at the centerline (r = 0) and is given by:
v_max = (P₁ - P₂) / (2μh)
The average velocity can be obtained by integrating the velocity profile and dividing by the distance between the plates:
v_avg = (1 / (2h)) * ∫[-h to h] v dr
These formulas can be used to calculate the shear stress profile, velocity profile, and maximum/average velocities for the given geometries.
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can someone please help me . first question .
Answer:
y = -x + 12
Step-by-step explanation:
2x + 2y = 24
divide all by 2
x + y = 12
y = -x + 12
Solve for i.
0.14i = 4.48
Answer:
I = 32
Step-by-step explanation:
4.48 divided by .14 = 32
Brian invests £1800 into his bank account. He receives 5% per year simple interest. How much will Brian have after 6 years
Brian will have £2340 in his bank account after 6 years with 5% simple interest.
To calculate the amount Brian will have after 6 years with simple interest, we can use the formula:
A = P(1 + rt)
Where:
A is the final amount
P is the principal amount (initial investment)
r is the interest rate per period
t is the number of periods
In this case, Brian invested £1800, the interest rate is 5% per year, and he invested for 6 years.
Substituting these values into the formula, we have:
A = £1800(1 + 0.05 * 6)
A = £1800(1 + 0.3)
A = £1800(1.3)
A = £2340
Therefore, Brian will have £2340 in his bank account after 6 years with 5% simple interest.
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Solve the inequality. Then, graph the solution 15x ≥ −60
Answer:
A closed circle on -4, going to the right.
Step-by-step explanation:
15x ≥ −60
/15 /15
x ≥ -4
This is a closed circle on -4, going to the right.
Hope that helps!
If y varies directly with x and y= -7 when x = -28, find y when x
20.
A.) y =-5
B.) y = 5
C.) Y=6
D.) y = 4
The answer is y = 5.
To solve this problem, we need to use the concept of direct variation. Direct variation is a mathematical relationship between two variables where one variable is a constant multiple of the other.
In this problem, we are given that y varies directly with x. We are also given a specific value of y and x, which allows us to find the constant of variation k. We can set up an equation using the given values:
y = kx
-7 = k(-28)
Solving for k, we get:
k = 1/4
Now that we know the value of k, we can use the equation y = kx to find y when x = 20:
y = (1/4)(20)
y = 5
Therefore, the answer is y = 5.
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in their research study of measuring the correlation between two variables, students of ace college found a nearly perfect positive correlation between the variables. what coefficient of correlation did they arrive at?
The students of Ace College found a nearly perfect positive correlation between two variables in their research study. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.
In their research study, the students of Ace College discovered a nearly perfect positive correlation between the two variables they were investigating. The coefficient of correlation they arrived at is known as the Pearson correlation coefficient, which measures the strength and direction of the linear relationship between two variables.
The Pearson correlation coefficient ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation. Since the students found a nearly perfect positive correlation, the coefficient of correlation would be close to +1.
This indicates a strong and direct relationship between the variables, meaning that as one variable increases, the other variable also tends to increase consistently. The nearly perfect positive correlation suggests that the two variables are closely related and move in sync with each other.
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The null and alternative hypotheses divide all possibilities into: Question 10 options: two sets that overlap two non-overlapping sets as many sets as necessary to cover all possibilities two sets that may or may not overlap
The null hypothesis represents the default assumption or the status quo, while the alternative hypothesis represents the alternative possibility or the hypothesis that is being tested.
These two hypotheses are mutually exclusive, meaning that if one is true, the other must be false.
The null and alternative hypotheses divide all possibilities into two non-overlapping sets.
In statistical hypothesis testing, the null and alternative hypotheses divide all possibilities into two non-overlapping sets.
These two hypotheses represent different explanations or theories about the data, and they are used to make inferences about the population from the sample data.
The null hypothesis represents the default assumption or the status quo. It states that there is no significant difference or relationship between two variables, or that the observed data is due to random chance alone. The alternative hypothesis, on the other hand, represents an alternative explanation or theory about the data.
It states that there is a significant difference or relationship between two variables, or that the observed data is not due to random chance alone.
The null and alternative hypotheses are mutually exclusive, meaning that if one hypothesis is true, the other hypothesis must be false.
They are also exhaustive, meaning that they cover all possible explanations for the observed data.
By dividing all possibilities into two non-overlapping sets, the null and alternative hypotheses allow us to make a decision about which hypothesis is more likely to be true based on the evidence provided by the sample data.
In order to test the null and alternative hypotheses, we use statistical methods to calculate the probability of obtaining the observed data if the null hypothesis were true.
This probability is called the p-value, and it represents the likelihood of obtaining the observed data or a more extreme result if there were no true effect or relationship in the population.
If the p-value is small enough, we reject the null hypothesis in favor of the alternative hypothesis.
The null and alternative hypotheses divide all possibilities into two non-overlapping sets and provide a framework for making inferences about the population based on sample data.
By testing the null hypothesis and calculating the p-value, we can make decisions about which hypothesis is more likely to be true based on the evidence provided by the sample data.
In statistical hypothesis testing, we use evidence from the data to decide whether to reject the null hypothesis in favor of the alternative hypothesis or not.
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Pavi has a credit line of $8,000 on his credit card. Review the summary of his credit card statement. How much credit does Pavi currently have available on this card?
Summary Previous Balance Payments/Credits New Purchases Finance Charge New Balance
$2,500. 00 $1,500. 00 $3,000. 00 $7. 50 $4,007. 50
A.
$3,992. 50
B.
$5,000. 00
C.
$5,500. 00
D.
$6,500. 50
The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.
The calculation of the provided data, according to the question, is as follows:
$8000 is the credit limit on the card.
Paid in Full = $2,500
$1,500 has been credited to the account.
The value of recent purchases made by Pavi is $3,000
Applied finance charges equal $7.50
The card's current balance is equal to $4,007.50.
Using the formula below, we can now determine the amount of credit that is now available on the card:
The credit line on the card = Available Credit - New Balance
By entering values into the formula provided, we obtain
Credit available on the current card: $8,000 - $4,007.50= $3,992.50.
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WILL GIVE BRAINLIEST!!!
Why does the square root of 9 equal both 3 and -3?
Answer:
See below
Step-by-step explanation:
3 * 3 = 9 obviously
a negative number times a negative number equals a positive number
so -3 * -3 = + 9
Abigail's car used 9 gallons to travel 378 miles. How many gallons of gas would she need to travel 210 miles?
Answer: 378/9=42
so 42 miles per gallon and 210/42= 5
5 gallon
Step-by-step explanation:
Please help me with this please and thank you
Answer:
B
Step-by-step explanation:
the graphs are very fuzzy and therefore hard to read.
but I think I could see enough to make the right choice.
the solution (-3/2, 0) means that this point is the crossing point of both lines (the point or value of x, where both functions deliver the same result or y value).
and that eliminates C and D right away, as the crossing points there have positive x values. that does not fit to our -3/2 x value.
between A and B the right answer is B (-1.5 = -3/2).
Use the fundamental principle of equality to solve the equation. Remember to check your solution. 55r=1925 r= (Simplify your answer.)
The solution to the equation 55r = 1925 is r = 35.
To solve the equation 55r = 1925 using the fundamental principle of equality, we want to find the value of r that satisfies the equation.
Dividing both sides of the equation by 55, we have:
r = 1925 / 55
Simplifying the division, we get:
r = 35
Therefore, the solution to the equation 55r = 1925 is r = 35.
To check our solution, we substitute r = 35 back into the original equation:
55 * 35 = 1925
1925 = 1925
Since both sides of the equation are equal, we can conclude that the solution r = 35 is correct.
The fundamental principle of equality states that if two expressions are equal, then any operation performed on one side must also be performed on the other side in order to maintain the equality. In this case, we divided both sides of the equation by 55 to isolate the variable r. By simplifying the division, we found that the value of r that satisfies the equation is 35. To verify our solution, we substituted it back into the original equation and confirmed that it holds true.
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In some year, two towns A and B had same population but after
10 years, population of A increased by 60% and of B decreased by
60%. What percent of A is the population of B?
Answer:
The answer is 25%
Step-by-step explanation:
on the first year lets say town A and town B had a population of 100 (a town wouldn't have only 100 people but for simplicity lets do 100).
town A's population increases by 60%, 60% of 100 is 60, 100 + 60 = 160
town B's population decreases by 60%, 100 - 60 = 40
so now we have town A's population after 10 years and town B's population after 10 years, 160 divided by 40 = 4, and 100 divided by 4 equals 25, so the answer is 25%.
What is the approximate value of x in this figure?
19 POINTS
Answer:
4.69 inches (2 decimal places)
Step-by-step explanation:
Refer to image attached to this answer:
Using Pythagoras Theorem:
\(AB^2+AC^2=BC^2\)
\(2^2+3^2=BC^2\)
\(4+9=BC^2\)
\(BC^2=13\)
-------------------------
Using Pythagoras Theorem,
\(BC^2+CD^2=BD^2\ (x)\)
\(13+3^2=BD^2\)
\(13+9=BD^2\)
\(BD=\sqrt{22} = 4.69\ (2d.p.)\)
First, we have to find the last remaining side of the leftmost triangle.
We can use the Pythagorean theorem.
The Pythagorean theorem: a^2 + b^2 = c^2
a = one leg
b = the second leg
c = the hypotenuse
In this problem,
a = 3
b = 2
c = ?
Let's plug our numbers into the Pythagorean theorem.
3^2 + 2^2 = c^2
Simplify the left side
9 + 4 = c^2
Add together like terms
13 = c^2
Take the square root of both sides
\(\sqrt{13}\) = c
Now we can use the Pythagorean theorem on the rightmost triangle to find x.
a = 3
b = \(\sqrt{13}\)
c = x
let's plug our values into the Pythagorean theorem.
3^2 + (\(\sqrt{13}\))^2 = (x)^2
Simplify the left side
9 + 13 = x^2
Add together like terms
22 = x^2
Take the square root of both sides
\(\sqrt{22}\) = x
But the problem is asking for the approximate value, the approximate value of \(\sqrt{22}\) = 4.69 in
Which fraction represents the smallest part of a whole? *
1/2
1/9
1/3
1/5
Answer:
1/9
Step-by-step explanation:
Let's take a pizza, for example. Let's say it has 9 slices in total, and you eat only one slice. That leaves 8 remaining. Therefore the majority of the original pizza is still remaining, because you only ate 1 slice. If you ate 1/2 tho, you would have eaten 4 & 1/2 slices, and so on and so forth for the rest of the fractions, making 1/9 the smallest fraction
passes through T(0, -2), perpendicular to CX with C (0, 3) and X (2, -1)
Answer:
it would be honestly idj
Step-by-step explanation:
im tryin to get point
Which equation represents the following graph?
it a or d make your decision
Mercury and Alcohol are two common liquids used in thermometers. The boiling point of MERCURY is 357 degree C, while its freezing point is -39 degree C; For ALCOHOL, the boiling point is 78 degree C and the freezing point is -80 degree C; It is required in a laboratory to make measurements which are in the region of -60 degree C. Which type of thermometer would be more suitable? (ASSET)
Answer:
Alcohol
Step-by-step explanation:
Alcohol would be more suitable for making measurements in a -60 degree laboratory, since its boiling point is 78 degrees and its freezing point is -80 degrees, meaning alcohol will not freeze in a -60 degree environment.
Mercury on the other hand, has a freezing point of -39. Thus, it will freeze in a -60 degree environment, making it not suitable for use in this laboratory.
would a boxplot of the data 113, 116, 116, 116, 118, 118, 119, 119, 122, 124, 124, 124 allow you to find the mean and the median?
need help asap
* Calculate the reciprocal (Inverse or Indirect quote) from following. \( \rightarrow \) USO/DKK \( 6.4270 / \mathrm{H} 350 \) \( \rightarrow \) GBP/NZD 2.0397/0700 \( \rightarrow \) USO/INR \( 44.333
The reciprocal (inverse or indirect quote) for the given exchange rates is as follows:
USO/DKK: The reciprocal exchange rate is 0.1557 DKK/USO.
GBP/NZD: The reciprocal exchange rate is 0.4898 NZD/GBP.
USO/INR: The reciprocal exchange rate is 0.0226 INR/USO.
To calculate the reciprocal quote, we take the reciprocal of the given exchange rate. For example, for USO/DKK with an exchange rate of 6.4270 DKK per USO, the reciprocal is 1 divided by 6.4270, which equals 0.1557 DKK per USO.
Similarly, for GBP/NZD with an exchange rate of 2.0397 NZD per GBP, the reciprocal is 1 divided by 2.0397, which equals 0.4898 NZD per GBP.
Finally, for USO/INR with an exchange rate of 44.333 INR per USO, the reciprocal is 1 divided by 44.333, which equals 0.0226 INR per USO.
These reciprocal quotes represent the inverse of the original exchange rates.
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Complete question: Calculate the reciprocal (inverse or indirect quote) for the following currency pairs:
1. USO/DKK: 1/6.4270 or DKK/USO: 1/350
2. GBP/NZD: 1/2.0397 or NZD/GBP: 1/0.7000
3. USO/INR: 1/44.333 or INR/USO: 1/44.333
[100 PTS] (I NEED A ANSWER QUICK!)
Given the equation 3x + 15 = 84:
Part A: Write a short word problem about a purchase made to illustrate the equation. (6 points)
Part B: Solve the equation showing all work. (4 points)
Part C: Explain what the value of the variable represents. (2 points)
Answer:
Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.
Step-by-step explanation:
Answer:
Part A: Word problem
Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.
Part B: Solution
To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.
Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:
3x + 15 - 15 = 84 - 15
3x = 69
Step 2: Divide both sides of the equation by 3 to isolate x:
3x/3 = 69/3
x = 23
So, the solution to the equation is x = 23.
Part C: Explanation
In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.
Step-by-step explanation:
Carl earned grades of 62 78 59 and 89 on four math tests what is the mean if his grades
Answer:
The answer is 72
Step by step Explanation:
You add 62 + 78 + 59 + 89
And it equals 288
Then divide that answer by 4
And the answer is 72
If a number is chosen at random from the set {1, 2, 3, 4, . . ., 18}, what is the probability that the number chosen is a factor of 17?
How many fl oz makes a liter?
There are 33.814 fluid ounces in a liter, in unit of measurement.
What is unit of measurement?A unit of measurement is a predetermined, acknowledged by law, and frequently used magnitude of a quantity that acts as a standard for evaluating other quantities of the same kind. A multiple of the measurement unit can be used to express any additional quantity of that type.
An example of a physical quantity is length. The word "metre" is a measurement that stands in for a particular, predetermined length, and it begins with the letter "M." A length is 10 times the precise, predetermined length known as "metre" when the term "10 metres" is used (or 10 m).
Human endeavour has relied on the definition, acceptance, and practical application of units of measurement from antiquity to the present.
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What is the slope of the line that passes through the points (25, 8) and (-39, 12)
Answer:
Slope: -1/16
Step-by-step explanation:
12-8= 4
-39-25= -64
4/-64 = -1/16
The required slope of the line that passes through the points (25, 8) and (-39, 12) is m = -1/16.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
The slope of the line that passes through the points (25, 8) and (-39, 12) given as
m = (y₂ - y₁) / (x₂ - x₁)
m = 12 - 8 / -39 - 25
m = 4 / -64
m = -1/16
Thus, the slope of the line that passes through the points (25, 8) and (-39, 12) is m = -1/16.
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tickets to a school dance are sold for $10 each the student council spent a total of $400 on setup cost for the dance the school's profit p in dollars from the dance depends on the number of tickets sold which function describes the relationship between p and t
Answer:
I think it’s p(t)=10t-400
Answer:
t(p) = 10p-400
Step-by-step explanation: