FP!!!!!!!!!!!!!!!!!!!!!!!!!

what is 4/8 in simplest form?

read the comment plz

Answer:

P= RS. 9000

R=7.6%

T= 9 months

Simple Interest (SI}=?

By using formula,

SI= PTR/100

= 9000* 7.6* 9/ 100* 12

= 615600/1200

= 513

Answer:

the third one

Step-by-step explanation:

the pattern is /5

3/5 and then

(3/5)/5 = 3/25

using Green's theorem, we get I=132π.

If we evaluate the given integral directly, we have to set up double integrals to do so. Using Green's theorem instead allows us to convert the double integral into a line integral along the boundary of the region. We can then parameterize the curve and calculate the line integral. In this particular problem, Green's theorem simplifies the calculation considerably, but this is not always the case.

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Mark's account balance after seven years is $11,755.

Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.

Now, we need to find what Mark's account balance will be in after seven years.

We are given that:

We will use the compound interest formula which is given by:

\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)

So,

\(\text{A}=\text{P}(1+\frac{\text{r}}{\text{n}})^{\text{nt}}\)

\(\text{A} = 8000(\frac{1 + 0.055}{52})^{(7 \times 52)}\)

\(\text{A} = 11754.52\)

\(\text{A} \thickapprox \bold{\$11755}\)

Therefore, Mark's account balance is $11,755 after seven years.

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Answer:

-8

Step-by-step explanation:

The Ying-yang symbol has rotational symmetry, the flag has radial symmetry, and the three-leg figure has radial symmetry.

The word symmetry refers to the characteristic of figures being the same in terms of proportion and shape.

Bilateral symmetry: This means the two sides of a shape are the same.

Radial symmetry:  This implies that there are symmetric sections if lines are drawn from the radius or center.

Rotational symmetry: This implies two sides are the same but they are rotated.

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The ratio of the height to the diameter that maximizes the volume of the cylindrical can is: 0.886 approximately.

Let the radius of the cylindrical can be denoted by r, and its height by h. The surface area of the can is given by:

S = 2π\(r^2\)+ 2πrh

Simplifying this expression, we get:

h = (S - 2π\(r^2\))/(2πr)

The volume of the cylindrical can is given by:

V = π\(r^2\)h

Substituting the expression for h obtained earlier, we get:

V = π\(r^2\)(S - 2π\(r^2\))/(2πr)

Simplifying this expression, we get:

V = (S/2π - \(r^2\))πr

To maximize the volume of the cylindrical can, we need to find the value of r that maximizes the above expression. We can do this by differentiating the expression with respect to r, setting it equal to zero, and solving for r:

dV/dr = (S/2π - \(2r^2\))π = 0

Solving for r, we get:

r = √(S/4π)

Substituting this value of r back into the expression for h, we get:

h = (S - 4π\(r^2\))/(4πr) = (S - S/2)/(2√(S/4π)) = √(Sπ)/2

Therefore, the ratio of the height to the diameter that maximizes the volume of the cylindrical can is:

h/2r = (√(Sπ)/2)/(2√(S/4π)) = √(π/4) = 0.886 approximately.

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The largest possible volume of the inscribed right circular cylinder is 810π \(cm^3\).

To find the largest possible volume of a right circular cylinder inscribed in a cone with height 10 cm and base radius 9 cm, follow these steps:

1. Set up the problem: Let h be the height of the cylinder and r be the radius of its base. The cylinder is inscribed in the cone, so their heights and radii are proportional. Therefore, we have the relationship:

  h/10 = r/9

2. Solve for h: Multiply both sides of the equation by 10 to isolate h:

  h = 10r/9

3. Write the volume formula for a cylinder: V = π\(r^2\)h

4. Substitute h from step 2 into the volume formula:

  V = π\(r^2\)(10r/9)

5. Differentiate the volume formula with respect to r to find the critical points:

  dV/dr = d(10π\(r^3\)/9)/dr = 10πr^2

6. Set the derivative equal to zero and solve for r:

  10π\(r^2\) = 0
  r = 0 (This is not a valid solution since the radius must be greater than zero)

7. Since there's no valid critical point, the maximum volume occurs at the endpoints of the interval. In this case, the radius can be between 0 and 9, so we'll test r = 9:

  h = 10(9)/9 = 10

8. Calculate the volume with r = 9 and h = 10:

  V = π(\(9^2\))(10) = 810π \(cm^3\)

The largest possible volume of the inscribed right circular cylinder is 810π\(cm^3\).

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A two-digit number with rotational symmetry of order 2 is a number that looks the same after a half turn of 180 degrees. The only two-digit number that satisfies this condition is 11.

To determine the rotational symmetry of a two-digit number, we need to check if it looks the same after a rotation of 180 degrees. We can represent a two-digit number as a string of two characters, with the first character representing the tens digit and the second character representing the unit digit.

Let's consider a generic two-digit number "ab". If we rotate it by 180 degrees, we get the number "ba". For this number to have rotational symmetry of order 2, it must be equal to the original number "ab". Therefore, we must have:

ba = ab

Simplifying this equation, we get:

b = a

This means that the tens digit and the unit digit of the number must be the same. The only two-digit number that satisfies this condition is 11.

Therefore, the rotational symmetry of a two-digit number with rotational symmetry of order 2 is 11.

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The complete question is:

Write down the rotational symmetry of a two digit number With rotational symmetry of order 2.

-2 is the minimum value of the given set.

Assume that x is the minimum value.

The difference between the largest value and the least value is therefore what we use to determine the range:

Range = Maximum value - Minimum value

6 = 4 - x

Solving for x, we can subtract 4 from both sides:

6 - 4 = 4 - x - 4

2 = -x

Finally, we can multiply both sides by -1 to get x by itself:

x = -2

Therefore, the minimum value is -2.

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Step-by-step explanation:

Answer:

-2ln + 2mn

Step-by-step explanation:

Simplify l(m-n) + m(n-l) + n(m-l)​

Step 1 : Distribute and multiply

l(m-n) + m(n-l) + n(m-l)​

l(m) + l(-n) + m(n) + m(-l) + n(m) + n(-l)

lm - ln + mn - lm + mn - ln

Step 2: Combine like terms

lm - ln + mn - lm + mn - ln

lm - lm - ln - ln + mn + mn

0 -2ln + 2mn

Solution:

-2ln + 2mn

Hope this helps!

Answer:

8/15

Step-by-step explanation:

For right triangles tan p = opposite leg / adjacent leg

tan p = 24 /45   =   8/15

The charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0).

To determine the charge distribution given the electric field E(r) = ε₀K(x² + y² + a², x² + y² + a², 0), we can apply Gauss's law and the relationship between electric field and charge density.

Gauss's law states that the divergence of the electric field (∇ · E) is equal to the charge density (ρ) divided by the permittivity of free space (ε₀).

In this case, since the electric field E(r) is given, we can calculate the divergence ∇ · E by taking the partial derivatives of each component of E with respect to their corresponding variables:

∂Eₓ/∂x = ε₀K(2x, 2x, 0)

∂Eᵧ/∂y = ε₀K(2y, 2y, 0)

∂Ez/∂z = 0

Now, equating each component of the divergence to the charge density ρ:

∂Eₓ/∂x = ε₀K(2x, 2x, 0) = ρ

∂Eᵧ/∂y = ε₀K(2y, 2y, 0) = ρ

∂Ez/∂z = 0

From these equations, we can see that the charge density ρ is constant and equal to ε₀K(2x, 2x, 0) or ε₀K(2y, 2y, 0) in each direction.

Therefore, the charge distribution is given by a constant charge density ρ = ε₀K(2x, 2x, 0) or ρ = ε₀K(2y, 2y, 0) depending on the direction.

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Answer:

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Step-by-step explanation:

An easy way to do this is to write each in decimal form

2/3 = .666666......

2/5 = .4

7/8 = .875

.75

1/10 = .10

Smallest to largest:

1 out of 10, 2/5, 2 out of 3, .75, 7/8

Answer:

Solution:

2x×(x+3)

Step-by-step explanation:

oper brackets

(a) Mallory's demand for fancy clothes (f *) and gin (g *) can be derived by maximizing her utility function subject to her budget constraint.

(b) We can determine if fancy clothes and gin are complements or substitutes by examining the sign of their cross-price elasticity of demand.

(a) To find Mallory's demand for fancy clothes (f *) and gin (g *), we can use the utility maximization approach. We need to set up Mallory's optimization problem by maximizing her utility function U(f,g) = 4f + 2g subject to her budget constraint, which is given by pf  * f + pg * g = I.

By using the Lagrange multiplier method, we can set up the Lagrangian function:

L(f, g, λ) = 4f + 2g - λ(pf * f + pg * g - I)

Next, we take partial derivatives of L with respect to f, g, and λ, and set them equal to zero to find the optimal values of f * and g * that maximize Mallory's utility. Solving these equations will give us the demand functions for fancy clothes and gin.

(b) To determine whether fancy clothes and gin are complements or substitutes for Mallory, we need to examine the cross-price elasticity of demand.

If the cross-price elasticity of demand is positive, it indicates that fancy clothes and gin are substitutes. This means that an increase in the price of fancy clothes would lead Mallory to consume more gin, and vice versa.

If the cross-price elasticity of demand is negative, it suggests that fancy clothes and gin are complements. In this case, an increase in the price of fancy clothes would result in Mallory consuming less gin, and vice versa.

By calculating the cross-price elasticity of demand using the demand functions derived in part (a), we can determine whether fancy clothes and gin are complements or substitutes for Mallory. If the cross-price elasticity is positive, they are substitutes; if it is negative, they are complements.

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Answer:

y= -4/6x+2

Step-by-step explanation:

The friend's locker (33) is located 13 lockers ahead of your locker (20).

To know location of your friend's locker relative to yours, we will calculate the difference between the locker numbers.

Given data:

The difference between the locker numbers is obtained by subtracting your locker number from your friend's locker number which i:

= 33 - 20

= 13

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a. Example data set: 85, 92, 78, 86, 95, 81, 89, 76, 91, 83, 88, 79, 87, 90, 84, 82, 93, 77, 94, 80, 75, 96, 85, 87, 89, 91, 92, 88, 83, 84 b. Frequency Table:  Range      | Frequency 70-79      | 2 80-89      | 12 90-100     | 16 c. Estimate of the probability of a grade "B" or better is 93.33% based on scores falling within the 80-100 range. d. Subjective probability: Estimating winning chances based on skills. Relative probability: Comparing job offers based on benefits and opportunities.



a. To create a data set of 30 values representing student final exam scores, you can invent unique scores. Here is an example data set:
85, 92, 78, 86, 95, 81, 89, 76, 91, 83, 88, 79, 87, 90, 84, 82, 93, 77, 94, 80, 75, 96, 85, 87, 89, 91, 92, 88, 83, 84

b. To create a frequency table using your data, you need to choose appropriate ranges. Let's use ranges of 70-79, 80-89, and 90-100.

Frequency Table:
Range      | Frequency
70-79      | 2
80-89      | 12
90-100     | 16
c. Based on the frequency table, we can estimate the probability that a student will get a grade of "B" or better. In this case, a grade of "B" or better would correspond to scores in the range of 80-100. From the frequency table, we can see that there are 28 scores falling in this range (12 in the 80-89 range and 16 in the 90-100 range).

To estimate the probability, we divide the frequency of scores in the "B" or better range by the total number of scores (30 in this case). So, the estimate of the probability is 28/30 = 0.9333 or 93.33%.
d. In our daily lives, we often encounter subjective and relative probability.

An example of subjective probability is when you estimate the likelihood of winning a game based on your own skills and experience. For instance, if you are a skilled basketball player, you might subjectively estimate a higher probability of winning a basketball match compared to someone who is less experienced.
On the other hand, relative probability involves comparing the likelihood of different outcomes based on the available information. For example, if you have two job offers, you might use relative probability to compare the benefits, salary, and growth opportunities of each position before making a decision.

When responding to your classmates' estimates for a grade of "B" or better, you can compare and discuss the different methods they used, any variations in their data sets, and how those factors might have influenced their estimates. This discussion can help you gain a deeper understanding of probability estimation and the impact of data on the results.

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Answer:

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I hope it will be useful.

Answer:

a. 2 and 8x + 12

Step-by-step explanation:

16x + 24

Factor out 2

2(8x+12)

Area is length times width

2 * (8x+12)

Answer: a. 2 and 8x + 12

Step-by-step explanation:

Area of a rectangle is length times width.

(2)(8x+12) = 16x + 24

the average speed of the current in this section of the mississippi river is 5.8

let C = the speed of the current

then B - C = effective speed up river

B+C =effective speed down river

time up + time down = 16.5 hrs

60/B-C+60/B+C= 16.5

taking lcm and solving we get

480+60C +480-60C= 16.5 (64 - C^2)

960= 1056 - 16.5 C^2

16.5 C^2 =96

C^2= 5.82

Hence , the average speed of the current in this section of the mississippi river is 5.8

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Answer:

Seven days

Step-by-step explanation:

From the information given, you know that you drink in a day 1.25 cups of the tea in the morning morning and 1.5 cups of the tea in the evening which is equal to:

1.25+1.5=2.75 cups a day

Now that you know the amount of cups that you drink in a day, you can divide  the amount of cups in the pitcher by the amount of cups you drink in a day:

19.25/2.75= 7

According to this, the answer is that you will run out of iced tea after seven days.

Answer:

$ 20

Step-by-step explanation:

Given that,

No. of notes Joe has = 4

The total value of the notes = $ 75

From the given notes, 4 notes that can make the sum of 75 would be

$ 50 note + $ 10 + $ 10 note + $ 5

= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1

= $ 75  

Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.

The required answer is  the probability of picking an 8 and then picking a number less than 8 is 1/9.

Explanation:-

To find the probability of picking an 8 and then picking a number less than 8, follow these steps:

Step 1: Determine the probability of picking an 8.
There are 3 cards (7, 8, and 9), and only 1 of them is an 8. So, the probability of picking an 8 is 1/3.

Step 2: Determine the probability of picking a number less than 8 after putting the first card back.
Since you put the first card back, there are still 3 cards. Only 1 of them (the 7) is less than 8. So, the probability of picking a number less than 8 is 1/3.

Step 3: Multiply the probabilities from Step 1 and Step 2 to find the overall probability.
(1/3) * (1/3) = 1/9

The probability of picking an 8 on the first draw is 1/3. After putting the card back, there are still 3 cards in the deck, so the probability of picking a number less than 8 on the second draw is 2/3. Therefore, the probability of picking an 8 and then picking a number less than 8 is (1/3) x (2/3) = 2/9, which can be simplified and written as a fraction.
So, the probability of picking an 8 and then picking a number less than 8 is 1/9.

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The sum of the given expression from n = 3 to 7 is 241.

The given expression is to be evaluated from n = 3 to 7.  The given expression is,begin{align*}\sum_{n=3}^{7} (n^2 + 2n)\end{align*}Now, we can substitute the values of n and add them up to evaluate the expression. So, the sum of the expression is, \begin{align*}\sum_{n=3}^{7} (n^2 + 2n) &= (3^2 + 2 \cdot 3) + (4^2 + 2 \cdot 4) + (5^2 + 2 \cdot 5) \\&\qquad+ (6^2 + 2 \cdot 6) + (7^2 + 2 \cdot 7)\\&= 9 + 20 + 35 + 72 + 105\\&= \boxed{241}.\end{align*}.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the phrase x + y is one where x and y are terms with an addition operator in between. There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.

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Step-by-step explanation:

this is math right what grade is this

Answer:

60

Step-by-step explanation:

Answer:

the answer is 90

Step-by-step explanation: