A graduated cylinder actually contains 9.75 milliliters of water. When Han measures the volume of the water inside the graduated cylinder, his measurement is 9 milliliters.


Which of these is closest to the percent error for Han’s measurement?


Select the correct choice.



107.7%


93.3%


7.7%


6.7%\
ASAP HELPPP

Answer:

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Simplification :

Answer:

2t+43

Step-by-step explanation:

Hi there!

\(5(5 + t) - 3(t - 6)\)

Open up the parentheses:

\(25 + 5t - 3t+18\)

Combine like terms:

\(25 + 2t+18\\2t+43\)

I hope this helps!

Part (a)

Answer: $32.50

--------------------

Work Shown:

Each ticket costs $16. If you buy four of them, then you paid 4*16 = 64 dollars.

The total bill was $96.50

This leaves 96.50-64 = 32.50 for parking.

======================================================

Part (b)

Answer:  y = 16x+32.50

--------------------

Work Shown:

x = number of tickets

y = total bill (in dollars)

1 ticket costs 16 dollars

x tickets cost 16x dollars since we multiply both values by x

Add on the cost of parking to get a total bill of y = 16x+32.50

======================================================

Part (c)

Answer:  at most 13 tickets

In other words, 13 is the max you can get.

--------------------

Work Shown:

Plug y = 250 into the equation found back in part (b). Solve for x

We'll follow PEMDAS in reverse to isolate x

y = 16x+32.50

250 = 16x+32.50

16x+32.50 = 250

16x = 250-32.50

16x = 217.5

x = 217.5/16

x = 13.59375

Since we can't buy a fraction of a ticket, we must round down to the nearest whole number. We cannot round to x = 14 despite the value 13.59375 being closer to 14 as it is to 13.

x = 13 is the answer we're after.

If we plug in x = 13, we get

y = 16x+32.50 = 16*13+32.50 = 240.5

while x = 14 leads to

y = 16x+32.50 = 16*14+32.50 = 256.5

The first result of $240.50 is under $250 while the second result $256.50 is over $250. So that's why x = 13 is the largest number of tickets we can buy.

a) The parking fee is $32.50.

b) The equation is T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

We have,

a)

Total bill - Cost of tickets = Parking fee

$96.50 - ($16 * 4) = Parking fee

$96.50 - $64 = Parking fee

Parking fee = $32.50

b)

Total bill = T

Number of tickets = N

The equation that gives your total bill (in dollars) as a function of the number of tickets you buy is:

T(N) = 16N + Parking fee

c)

T(N) = 16N + Parking fee

Substituting the given values:

$250 = 16N + Parking fee

$250 = 16N + $32.50

$250 - $32.50 = 16N

$217.5/16 = N

N ≈ $13.6

Thus,

a) $32.50

b) T(N) = 16N + Parking fee

c) Approximately 13 or 14 tickets.

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No, it does not follow that y is an interval or a ray in x. A convex subset of an ordered set is a set that contains all the points between any two points in the set.

This means that a convex subset of an ordered set could be a collection of points, it could be an interval, or it could be a ray. A proper subset of an ordered set is any subset except the entire set, so a proper subset of an ordered set could be any of these possibilities.

Therefore, while a proper subset of an ordered set that is convex in that set must be a collection of points, an interval, or a ray, it does not necessarily have to be one of those three options.

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The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Answer:

341 = 273k - 79 or 273k - 79 = 341

The expression (16x^3y^2) - (24x^4y^4) can be written as the product of the greatest common factor (8x^3y^2) and the binomial (2 - 3x^1y^2).

To rewrite the expression (16x^3y^2) - 24x^4y^4 as a product of the greatest common factor multiplied by a binomial, we need to find the greatest common factor of the two terms. The greatest common factor of 16x^3y^2 and 24x^4y^4 is 8x^3y^2.

We can factor out 8x^3y^2 from both terms to get:

(16x^3y^2) - (24x^4y^4) = 8x^3y^2(2 - 3x^1y^2)

Therefore, the expression (16x^3y^2) - (24x^4y^4) can be written as the product of the greatest common factor (8x^3y^2) and the binomial (2 - 3x^1y^2).

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Step-by-step explanation:

(x₁, y₁) = (-3, -4) and (x₂, y₂) = (0, 4)

\(m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ 4 - ( - 4)}{0 - ( - 3)} \\ m = \frac{4 + 4}{3} \\ m = \frac{8}{3} \)

It is also called as Random  Sample experiment.

Hence, it is an random experiment.

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If A and B are 2x2 matrices, det(A)=-1,det(B)=3 then

det(AB) = -3

det(-2A) = 8

det(A^T) = -1

det(B^-1) = 1/3

det(B^4) = 81

This can be found by :

det(AB) = det(A) * det(B) = (-1) * 3 = -3

det(-2A) = (-2)^2 * det(A) = 4 * (-1) = -4

det(A^T) = det(A) = -1

det(B^-1) = 1 / det(B) = 1/3

det(B^4) = (det(B))^4 = 3^4 = 81

For det(AB) we use the property that the determinant of a product of matrices is the product of their determinants.

For det(-2A) we use the property that the determinant of a matrix multiplied by a scalar is the determinant of the matrix multiplied by the scalar raised to the power of the matrix size.

For det(A^T) we use the property that the determinant of a matrix is the same as the determinant of its transpose.

For det(B^-1) we use the property that the determinant of the inverse of a matrix is the reciprocal of the determinant of the matrix.

For det(B^4) we use the property that the determinant of a matrix raised to a power is the determinant of the matrix raised to that power.

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Answer:

What is the question

Step-by-step explanation:

Answer:

5.6023 × 10^-5

Step-by-step explanation:

Let me know if you need an explanation.

Answer:

0.00005602

Step-by-step explanation:

0.00005602

(hope this helps can i plz have brainlist :D hehe)

Answer:

y = 3x + 1

Step-by-step explanation:

y = mx + b

The slope, or m, is 3.

The y-intercept, or y, is 1.

Plug them into the equation.

y = mx + b

y = 3x + 1

Answer:

x = - 6 and x = - 8

Step-by-step explanation:

(1)

- 6(x - 3) = 54 ( divide both sides by - 6 )

x - 3 = - 9 ( add 3 to both sides )

x = - 6

(2)

- 7(x + 2) = 42 ( divide both sides by - 7 )

x + 2 = - 6 ( subtract 2 from both sides )

x = - 8

The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

C=1

Step-by-step explanation:

5x^4+7x^3-2x^2-3x+1 / (x+1)
-1/ 5 7 -2 -3 1
    5 2 -4 1 0
Remainder of 0 indicates that x=-1 is a solution.

The optimal solution for the given linear programming problem using the graphical solution procedure is at (A, B) = (6, 2) with the objective function value of -4.

To find the optimal solution graphically, we plot the feasible region determined by the constraints. In this case, the feasible region is a polygon bounded by the lines 2A + 3B = 12, A + 4B ≤ 21, 2A + B ≥ 7, 3A + 1.5B ≤ 21, and -2A + 6B ≥ 0. We then evaluate the objective function -2A - B at the vertices of the feasible region to determine the optimal solution. The vertex that gives the minimum value of the objective function is the optimal solution. By calculating the objective function at each vertex, we find that the minimum value of -4 is obtained at (A, B) = (6, 2). This means that the optimal solution is to set A = 6 and B = 2, and the objective function value at this point is -4. For part (b), to determine the amount of slack or surplus for each constraint, we evaluate the constraints at the optimal solution (A, B) = (6, 2). For the constraint 1A + 4B ≤ 21, the left-hand side is 1(6) + 4(2) = 14, which indicates a slack of 7 (21 - 14). For the constraint 2A + 1B ≥ 7, the left-hand side is 2(6) + 1(2) = 14, which indicates a surplus of 7 (14 - 7). For the constraint 3A + 1.5B ≤ 21, the left-hand side is 3(6) + 1.5(2) = 20, which indicates a slack of 1 (21 - 20). Lastly, for the constraint -2A + 6B ≥ 0, the left-hand side is -2(6) + 6(2) = 4, which indicates a surplus of 4 (4 - 0). These slack and surplus values represent the amount by which the left-hand side of each constraint falls short or exceeds the right-hand side at the optimal solution. A positive slack indicates that the constraint is not fully utilized, while a positive surplus indicates that the constraint is exceeded.

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Answer:

It would be a straight line passing through x when it is -4.

Step-by-step explanation:

I JUST KNOW IT!

Answer:

hey !!!

reflex is the largest as 'A reflex angle is an angle that is more than 180 degrees and less than 360 degrees

-A right Angle is 90 degrees

-an Obtuse angle is between 90 and 180

-An acute angle is between 0 and 90

-a straight line is 180 degrees

hope that helped :)

Answer:

Isaiah will have a final amount of $1659.17.

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula:
\(\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}\)

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $1300

r = 0.05

n = 1

t = 5

Step 2: Find Gain

∴ Isaiah would make approximately $359.18 and have a final amount of $1659.17.

___

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Topic: Algebra I

f(x) = x³ - 21x + 20

factors of 20 (the independent term): 1, 2, 4, 5, 10, 20

factors of 1 (the leading coefficient): 1

Using the rational zeroes theorem, the possible zeros of f(x) are:

Substituting x = -5 into f(x), we get:

f(-5) = (-5)³ - 21(-5) + 20

f(-5) = -125 + 105 + 20

f(-5) = 0

Substituting x = 1 into f(x), we get:

f(1) = 1³ - 21(1) + 20

f(1) = 1 - 21 + 20

f(1) = 0

Substituting x = 4 into f(x), we get:

f(4) = 4³ - 21(4) + 20

f(4) = 64 - 84 + 20

f(4) = 0

Therefore,

f(x) = x³ - 21x + 20 = (x - 1)(x - 4)(x + 5)

Answer:

I spent $8.  I started with $10.  How much money do I have left?

Step-by-step explanation:

The situation could the numeric expression -8 + 10 represent that the result is +2 units.

A collection of constants, variables or numbers connected using one or more arithmetic operator is called an expression.

Example = 4y, 3x+4.

In this situation, the negative value of 8 indicates a decrease or loss, and the positive value of 10 indicates a gain or increase. The expression when added  -8 and 10 together, the result of 2.

For example, if a person went 8 units in negative direction from the origin and then return 10 units in positive direction, he would be +2 units away from the origin.

The situation could the numeric expression -8 + 10 represent that the result is +2 units

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(a) For Jack, with the utility function u(1) = 1, u(2) = 2, and u(3) = 3, the indifference curve represents combinations of probabilities (p1, p3) that yield the same utility level for Jack. Since Jack's utility increases with the outcome value, the indifference curve will be upward sloping.

To sketch the indifference curve for Jack, we connect the points (p1, p3) that yield the same utility level. The specific shape of the indifference curve depends on the utility function and the values of p1 and p3. However, since the utility values increase linearly, the indifference curve will be a straight line. The slope of this indifference curve can be calculated as the change in p3 divided by the change in p1. Since the utility function is linear, the slope will be constant. The slope of the indifference curve is given by (change in p3)/(change in p1) = (u(3) - u(1))/(u(2) - u(1)) = (3 - 1)/(2 - 1) = 2.

(b) For Alice, with the utility function u(1) = 1, u(2) = 4, and u(3) = 6, we can compare the expected utilities to determine her preference.

The expected utility of receiving 2 for sure is u(2) = 4.

The expected utility of a 50:50 gamble between 1 and 3 is (1/2)u(1) + (1/2)u(3) = (1/2)(1) + (1/2)(6) = 3.5.

Since the expected utility of receiving 2 for sure (4) is greater than the expected utility of the 50:50 gamble (3.5), Alice prefers receiving 2 for sure.

(c) To sketch the indifference curve for Alice, we connect the points (p1, p3) that yield the same utility level according to her utility function u(1) = 1, u(2) = 4, and u(3) = 6. Similar to Jack, the indifference curve will be upward sloping since Alice's utility increases with the outcome value.

The slope of this indifference curve can be calculated as (u(3) - u(1))/(u(2) - u(1)) = (6 - 1)/(4 - 1) = 5/3.

(d) For Bob, with the utility function u(1) = 9, u(2) = 12, and u(3) = 18, we can compare the expected utilities.

The expected utility of receiving 2 for sure is u(2) = 12.

The expected utility of a 50:50 gamble between 1 and 3 is (1/2)u(1) + (1/2)u(3) = (1/2)(9) + (1/2)(18) = 13.5.

Since the expected utility of the 50:50 gamble (13.5) is greater than the expected utility of receiving 2 for sure (12), Bob prefers the 50:50 gamble.

(e) To sketch the indifference curve for Bob, we connect the points (p1, p3) that yield the same utility level according to his utility function u(1) = 9, u(2) = 12, and u(3) = 18. Similar to Jack and Alice, the indifference curve will be upward sloping.

The slope of this indifference curve can be calculated as (u(3) - u

(1))/(u(2) - u(1)) = (18 - 9)/(12 - 9) = 3.

(f) The findings in parts (a) to (e) demonstrate that individuals' attitudes toward risk differ based on their utility functions. The slope of the indifference curve represents the marginal rate of substitution between the probabilities of different outcomes. Steeper indifference curves indicate a higher marginal rate of substitution and imply a higher aversion to risk.

In general, for a person with a utility function u(x1), u(x2), u(x3) and outcome values x=(x1, x2, x3), the equation for the curve of constant expected value is:

x1p1 + x2p2 + x3p3 = E

where E is the expected value.

The equation for the curve of constant expected utility is:

\(u(x1)p1 + u(x2)p2 + u(x3)p3 = U\)

where U is the constant expected utility level.

The condition for the indifference curve to be steeper, indicating higher risk aversion, is:

u''(x) > 0

This condition implies that the second derivative of the utility function with respect to the outcome values is positive, indicating diminishing marginal utility and higher risk aversion.

Please note that the equations and conditions provided are based on general principles and can be applied to utility functions and outcomes in various decision-making scenarios.

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Answer: b : it has a side that is 9 units long.

Step-by-step explanation:

i took the quiz

Answer:

its B

Step-by-step explanation:

The volume of a sphere with a radius of 30 cm and a given volume of 339 428.57cm3 is 113,097.34 cm3 We need to follow a step-by-step process.

Firstly, we need to understand the problem and determine what is being asked and what facts have been given. In this case, we are asked to find the volume of a sphere and we are given its radius and volume.tNext, we need to plan how to solve the problem. We should draw the figure of a sphere to help us visualize the problem. Once we have drawn the figure, we can find the volume of the sphere by using the formula V = (4/3)πr3.

Finally, we can solve the problem by plugging in the given value for the radius into the formula and solving for the volume. In this case, the volume of the sphere is:

V = (4/3)π(30)3
V = (4/3)π(27,000)
V = 113,097.34 cm3

Therefore, the volume of the sphere with a radius of 30 cm and a given volume of 339,428.57 cm3 is 113,097.34 cm3. By following these steps, we can solve problems involving the volume of cylinders, pyramids, cones, or spheres.

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Given sequence is neither arithmetic nor geometric.

Because, it does not have a common difference or common ratio.

What does mathematical sequence mean?

Informally, a sequence in mathematics is a list of items that are in some order (or events). It possesses members, much like a set (also called elements, or terms). The length of the series is the number of ordered elements in the sequence, which could be unlimited.

Which of the four sequence kinds are they?

Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four primary categories of distinct sequences you need to be familiar with.

What does math's geometric form mean?

Squares, rectangles, circles, cones, cubes, and other shapes that can be created using geometry are known as geometric forms. In structural, civil, and architectural engineering, geometric forms are frequently used. 

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The complete question is -

This morning Haidar noticed that her dog, Aldi, seemed unwell. She took him to the vet, where he was diagnosed with an ear infection. The veterinarian prescribed an antibiotic called amoxicillin to help Aldi feel better. Haidar will give Aldi 150 mg of the antibiotic once each day for 10 days. Each time Haidar gives Aldi his next dose of medication, 40% of the previous dose remains in his bloodstream.

Response to number 1=

1st dose =150 mg

2nd dose =210mg

3rd dose =234mg

4th dose=243.6 mg

Use your response to question 1 to write a recursive definition for the amount of medication in Aldi’s bloodstream after each dose of medication. Is your definition arithmetic, geometric, or neither? Explain.

Answer:

x = 0 , π

Step-by-step explanation:

\(-4 \sin x = 1 - cos^2 x\)

\(=> -4\sin x = \sin^2x\)

\(=> -4\sin x + 4\sin x = sin^2x + 4\sin x\)

\(=> \sin^2x + 4\sin x = 0\)

\(=> \sin x(\sin x + 4)=0\)

Here , we can get two more equations to find x.

1) \(\sin x(\sin x + 4)=0\)

\(=> \frac{\sin x(\sin x + 4)}{\sin x} = \frac{0}{\sin x}\)

\(=> \sin x + 4 = 0\)

\(=> \sin x + 4 - 4 = 0 - 4\)

\(=> \sin x = -4\)

\(=> x = No \; Solution\)

2) \(\sin x(\sin x + 4)=0\)

\(=> \frac{\sin x(\sin x + 4)}{\sin x + 4} = \frac{0}{\sin x + 4}\)

\(=> \sin x = 0\)

\(=> x = 0 \; , \pi\) over interval [0 , 2π).

Answer:

1) Translated to left by 2 unit.

2) Translated down by 1 unit.

3) Compressed vertically by 1/2 unit.

Step-by-step explanation:

Given :  Graph of the function \(f(x)=\frac{1}{2}(3)^{x+2\)

To find : How does f(x) relates to its parent function.

Solution : First we figure out its parent function

Parent function is the simplest form of the function.

f(x) parent function is \(g(x)=3^x\)

Now, how f(x) relates to g(x)

1. The parent function has been translated to the left.

Translated to left means

f(x)→f(x+b) , graph of f(x) has been translated by b unit.

In g(x)→g(x+2), graph of g(x) has been translated by 2 unit.

→The graph of g(x) has been translated to the left by 2 unit in the graph of f(x).

2)The parent function has been translated to the down.

Translated to down means

f(x)→f(x)-b , graph of f(x) has been translated left by b unit.

In g(x)→g(x)-1, graph of g(x) has been translated down by 1 unit.

→The graph of g(x) has been translated to the down by 1 unit in the graph of f(x).

3)The parent function has been compressed.

Compressed means

f(x)→a g(x) , graph of f(x) has been compressed by a unit.

In g(x)→(1/2)f(x), graph of g(x) has been compressed vertically by 1/2 unit.

→The graph of g(x) has been compressed vertically by 1/2 unit in the graph of f(x).