does anyone know the answer for top and bottom? please help

Answer:

32/60 is not a equivalent fraction of 8/12

I hope this helps you.

Answer:

1042 square inches is the total surface area of composite solid.

Step-by-step explanation:

It is clear from the image that the resulting composite solid is a cuboid.

whose sides are as follows:

Across the length there are 3 blocks along the side of 7 inches each.

Length = \(7 \times 3 = 21\ inch\)

Width = 5 inch

Across the height there are 4 blocks along the side of 4 inches each.

Height = \(4 \times 4 = 16\ inch\)

We know that total surface area of a cuboid is as follows:

\(\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)\)

\(\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024\)

Hence, total surface area = 1024 square inches

Step-by-step explanation: i got it right

The value of x on the boundary line and the x axis is found as 4.

For the given question,

The graph of inequality  x-2y ≤ 4 is drawn.

Consider the graph,

The straight lien formed by the graph touches the x coordinate axis at (4,0).

Thus, the value of x on the boundary line and the x axis is found as 4.

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There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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Answer:

Step-by-step explanation:

The common difference of an arithmetic sequence is the same for each pair of consecutive terms in the sequence.

In this case, the cost of buying n rolls can be found by:

$5.00 for one dozen rolls, which is equal to $5.00 / 12 = $0.42 per roll

$0.50 for each additional roll

Therefore, the common difference, per roll, of this sequence in dollars is $0.50 - $0.42 = $0.08.

If r = 2 then substitute it for where r is in your given equation

New equation:

\(\dfrac{7(2)}{2}\)

\(\bf{7(2) = 14}\)

\(\dfrac{14}{2} = 7\)

\(\bf{Answer: 7}\) ☑️

Good luck on your assignment and enjoy your day!

\(\frak{LoveYourselfFirst:)}\)

The relationship between the students illustrates the use of ratios.

1646 students are stuck eating pineapple pizza

Let:

\(P \to\) Pineapple

\(C \to\) Cheese

\(S \to\) Sausage

So, the ratio is represented as:

\(C : S : P = 5 : 5 : 32\)

The number of students is:

\(Students = 2160\)

The number (n) of students eating pineapple pizza is:

\(n = \frac{P}{C + S + P} \times Students\)

This gives

\(n = \frac{32}{5+5+32} \times 2160\)

\(n = \frac{32\times 2160}{42 }\)

\(n = \frac{69120}{42 }\)

\(n = 1645.71428571\)

Approximate

\(n = 1646\)

Hence, 1646 students are stuck eating pineapple pizza

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The future value of the fund on January 1, 2018, just after the third deposit, is approximately $47,986.47.

To find the future value of the fund on January 1, 2018, just after the third deposit, we can use the compound interest formula:

\(FV = P(1 + r/n)^{nt}\)

Where:

FV = Future Value

P = Principal amount (initial investment)

r = Annual interest rate (expressed as a decimal)

n = Number of times the interest is compounded per year

t = Number of years

Let's calculate the future value step by step:

First deposit:

P = $16000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 4.333 years (from September 1, 2010, to March 1, 2015)

\(FV_1 = 16000(1 + 0.072/12)^{(12*4.333)}\\= 16000(1 + 0.006)^{52}\\= 16000(1.006)^{52}\\= 20,296.43\)

Second deposit:

P = $13000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 2.917 years (from March 1, 2015, to January 1, 2018)

\(FV_2 = 13000(1 + 0.072/12)^{(12*2.917)}\\= 13000(1 + 0.006)^{35}\\= 15,618.04\)

Third deposit:

P = $12000

r = 7.2% = 0.072 (as a decimal)

n = 12 (compounded monthly)

t = 0.084 years (from January 1, 2018, to January 1, 2018)

\(FV3 = 12000(1 + 0.072/12)^{(12*0.084)}\\= 12000(1 + 0.006)\\= $12,072.00\\\)

Adding up the future values:

\(Total FV = FV_1 + FV_2 + FV_3\)

= $20,296.43 + $15,618.04 + $12,072.00

≈ $47,986.47

Therefore, the future value of the fund on January 1, 2018, just after the third deposit, is approximately $47,986.47.

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These steps are often referred to as the principle of mathematical induction or PMI.

The steps for mathematical induction are:

Base Case: Show that the statement holds for some particular value of n, usually n = 1 or n = 0.

Inductive Hypothesis: Assume that the statement holds for some arbitrary value of n = k, where k is a positive integer.

Inductive Step: Using the inductive hypothesis, show that the statement also holds for n = k + 1.

Conclusion: By the principle of mathematical induction, the statement is true for all positive integers n.

These steps are often referred to as the principle of mathematical induction or PMI. They are used to prove statements that involve an infinite set of integers by showing that the statement holds for a base case, assuming that it holds for an arbitrary value, and then showing that it holds for the next integer in the set.

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Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Based on the scatterplot and computer output, a reasonable estimate of mean temperature in Kelvin for Saturn, which is 886.7 million miles away from the sun is 4.822 degrees Kelvin.

A scatter plot is a particular kind of plot or mathematical diagram that displays values for generally two variables for a collection of data. It uses Cartesian coordinates. A second variable can be shown if the points are coded. A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection, if any, between the values of observed quantities or events, scatter plots are crucial in statistics (called variables).

Here,

ý =-0.4536(In 886.7) + 7.9009

=4.822.

The scatterplot and computer output provide a reliable estimate of Saturn's mean temperature in Kelvin, which is 4.822 degrees Kelvin at a distance of 886.7 million miles from the sun.

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Answer

60%

Step-by-step explanation:

Im not certain but i think its 60%,because the standard deviation is 6 and that as a percent is 60%

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

-9.16666666667

Step-by-step explanation:

there

Answer:-9.16666666667

Step-by-step explanation:

Answer: 50x - 27

Step-by-step explanation:

To find the 8th term of the arithmetic sequence, we need to first find the common difference between consecutive terms:

Common difference (d) = second term - first term

d = (8x - 3) - (x + 1)

d = 7x - 4

Now, we can use the formula to find the nth term of an arithmetic sequence:

an = a1 + (n - 1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values, we get:

a8 = (x + 1) + (8 - 1)(7x - 4)

a8 = x + 1 + 7(7x - 4)

a8 = x + 1 + 49x - 28

a8 = 50x - 27

Therefore, the 8th term of the arithmetic sequence x + 1, 8x - 3, 15x - 7 is 50x - 27.

The formula for the least squares curve y = ax2 that best fits the data set d is:
y = (Σ2(xi^2)(yi) / Σ2(xi^4)) x^2
where Σ2 denotes the sum of squares over all data points in the data set d.

To derive the formula for "a" for the least squares curve y = ax2 that best fits the data set d, we need to follow these steps:
Step 1: Write down the equation for the least squares curve y = ax2 that we want to fit to the data set d.
Step 2: Write down the formula for the sum of squares of residuals, which is the sum of the squares of the differences between the observed values in the data set d and the predicted values from the least squares curve y = ax2.
Step 3: Differentiate the sum of squares of residuals formula with respect to "a" and set it equal to zero, in order to find the value of "a" that minimizes the sum of squares of residuals.
Step 4: Solve for "a" to get the formula for the least squares curve y = ax2 that best fits the data set d.
Therefore, the formula for the least squares curve y = ax2 that best fits the data set d is:
y = (Σ2(xi^2)(yi) / Σ2(xi^4)) x^2
where Σ2 denotes the sum of squares over all data points in the data set d.

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Step-by-step explanation:

To find the Highest Common Factor (H.C.F.) of 567 and 255 using Euclid's division lemma, we can follow these steps:

Step 1: Apply Euclid's division lemma:

Divide the larger number, 567, by the smaller number, 255, and find the remainder.

567 ÷ 255 = 2 remainder 57

Step 2: Apply Euclid's division lemma again:

Now, divide the previous divisor, 255, by the remainder, 57, and find the new remainder.

255 ÷ 57 = 4 remainder 27

Step 3: Repeat the process:

Next, divide the previous divisor, 57, by the remainder, 27, and find the new remainder.

57 ÷ 27 = 2 remainder 3

Step 4: Continue until we obtain a remainder of 0:

Now, divide the previous divisor, 27, by the remainder, 3, and find the new remainder.

27 ÷ 3 = 9 remainder 0

Since we have obtained a remainder of 0, the process ends here.

Step 5: The H.C.F. is the last non-zero remainder:

The H.C.F. of 567 and 255 is the last non-zero remainder obtained in the previous step, which is 3.

Therefore, the H.C.F. of 567 and 255 is 3.

The given sequence is 3, 4, 5, 6, and we are tasked with identifying the pattern and finding the next three numbers in the pattern.

From the given sequence, we can observe that each number is obtained by adding 1 to the previous number. This indicates a linear pattern with a common difference of 1. Therefore, to find the next numbers in the pattern, we simply continue adding 1 to each successive number.

Based on this pattern, the next three numbers in the sequence would be:
7, 8, 9. The given sequence follows a linear pattern where each number is obtained by adding 1 to the previous number. Starting with 3, we add 1 to get the next number 4. Adding 1 to 4 gives us 5, and adding 1 to 5 gives us 6. Continuing this pattern, we add 1 to 6 to get 7, add 1 to 7 to get 8, and add 1 to 8 to get 9. Therefore, the next three numbers in the pattern are 7, 8, and 9.

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Answer:

6

Step-by-step explanation:

for this I simply divided that numbers and I got my answer as 5.77 and I turned as 6

Answer:

4 to 6 miles an hour would be the answer

Answer: C. (x-6)²

Step-by-step explanation:

Factor using the perfect square rule:

(a+b)²=a²+2ab+b²

By using this formula backwards, we get:

(x-6)²

Answer: 0

Step-by-step explanation: Because it is a 1 hour flight (also equivalent to 60 minutes) and there is 60 gallons of fuel and it burns 1 gallon per minute, by the end of the flight there'd be 0 gallons left if 1 gallon was subtracted every minute.

Answer:

x = 9

y = 14

Step-by-step explanation:

If we observe the two figures, the bigger one is increased by 1.5 because 12/9 = 1.5.

Smaller side = 6

Larger side = x

=> 6 x 1.5

=> x = 9

Smaller side = y

Larger side = 21

=> 21 / 1.5

=> y = 14

a) The sample mean years to maturity for corporate bonds = 16.9625

and the sample standard deviation =  8.2232

b) A 95% confidence interval for the population mean years to maturity: (14.4141, 19.5112)

c) The sample mean yield on corporate bonds is 4.5405

and the sample standard deviation = 2.3082

d) A 95% confidence interval for the population mean yield on corporate bonds:  (3.825, 5.256)

a) The mean of the sample would be,

\(\bar{x}\) = (10.25 + 28 +  23 + 13.25 + 3, 7.5 + 26.5 + 21.25 + 3.25, 19 + 9.25 + 28.75 + 1.75 + 17 + 8.75 + 24 + 24.5 + 18+ 11.75 + 22 + 22.75 + 27.75 + 16.75 + 12 + 16.5 + 23.75 + 25.25 + 25.75 + 22.5 + 1.25 + 19.5 + 12.5 + 27.25 + 19.5 + 17.75 + 11.5+ 3.5 + 20 + 25.25 + 6.75) / 40

\(\bar{x}\) = 678.5 / 40

\(\bar{x}\) = 16.9625

And  the sample standard deviation would be,

s = √(67.6203)

s =  8.2232

b)

We know that the formula for the confidence interval is,

CI = \(\bar{x}\) ± (z × s/√n)

Here, n = 40, \(\bar{x}\) = 16.9625, s = 8.2232 and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI = 16.9625 ± (1.9600 × 8.2232/√40)

CI = (16.9625 ± 2.548)

CI =  (16.9625 - 2.548,  16.9625 + 2.548)

CI = (14.4141, 19.5112)

c) Consider sample yield on corporate bonds.

The mean would be,

\(\bar{x}\) = 181.62 / 40

\(\bar{x}\) = 4.5405

And the standard deviation would be,

s = √(5.327594)

s = 2.3082

d) Now we construct a 95% confience interval.

Here, n = 40, s = 2.3082, \(\bar{x}\) = 4.4505, and z = 1.9600

Using above formula the 95% confidence interval for the population mean years to maturity would be,

CI =  4.4505 ± (1.9600 × 2.3082/√40)

CI = (4.5405 ± 0.716)

CI = (4.5405 - 0.716, 4.5405 + 0.716)

CI = (3.825, 5.256)

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Find the complete question below.

Answer:

1.575

Step-by-step explanation:

I just made it to a proper fraction then put them over 100

Answer:

1.575

Step-by-step explanation:

 63/40 as a decimal is: 1.575

The translation to the center (-7,6) to the center (12,12) is given by the rule

On the other hand, the dilation from circle 1 to circle 2 has a scale factor given by the ratio of the given radii, that is,

Then the scale factor is 1/2.

10 1/4 divided by 2 14/27 is equal to 1107/272.

The division of 10 1/4 by 2 14/27 can be calculated as follows:

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, we convert the mixed numbers to improper fractions:

10 1/4 = (4 * 10 + 1) / 4 = 41/4

2 14/27 = (27 * 2 + 14) / 27 = 68/27

Now, we can calculate the division by multiplying 41/4 by the reciprocal of 68/27:

41/4 ÷ 68/27 = 41/4 * 27/68

To simplify the fraction, we can cancel out common factors between the numerators and denominators:

41/4 * 27/68 = (41 * 27) / (4 * 68) = 1107/272

Therefore, 10 1/4 divided by 2 14/27 is equal to 1107/272.

In decimal form, the answer would be approximately 4.0735 when rounded to four decimal places.

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