6. Write the following numbers in expanded exponential form:

a) 74009234 =​

The final values of the angles are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

Here, we have,

To determine the values of C0, C1, theta1 (in degrees), C2, and theta2 (in degrees), we need to match the given expressions for x(t) with the given values for A0, A1, B1, A2, B2, and w.

Comparing the expressions:

x(t) = C0 + C1sin(wt+theta1) + C2sin(2wt+theta2)

x(t) = A0 + A1cos(wt) + B1sin(wt) + A2cos(2wt) + B2sin(2w*t)

We can match the constant terms:

C0 = A0 = 2

For the terms involving sin(wt):

C1sin(wt+theta1) = B1sin(w*t)

We can equate the coefficients:

C1 = B1 = -7

For the terms involving sin(2wt):

C2sin(2wt+theta2) = B2sin(2wt)

Again, equating the coefficients:

C2 = B2 = -7

Now let's determine the angles theta1 and theta2 in degrees.

For the term C1sin(wt+theta1), we know that C1 = -7. Comparing this with the given expression, we have:

C1sin(wt+theta1) = -7sin(wt)

Since the coefficients match, we can equate the arguments inside the sin functions:

wt + theta1 = wt

This implies that theta1 = 0.

Similarly, for the term C2sin(2wt+theta2), we have C2 = -7. Comparing this with the given expression, we have:

C2sin(2wt+theta2) = -7sin(2w*t)

Again, equating the arguments inside the sin functions:

2wt + theta2 = 2wt

This implies that theta2 = 0.

Therefore, the final values are:

C0 = A0 = 2

C1 = B1 = -7

theta1 = 0 degrees

C2 = B2 = -7

theta2 = 0 degrees

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Answer: 5/10

Explanation: Compare the denominators. Since 2 ⋅ 5 = 10, multiply the numerator 1 by 5 to get 5.

We need radius

Now

LSA

Answer:

813.4 cm² (nearest tenth)

Step-by-step explanation:

Volume of a cylinder

\(\sf V=\pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)

Given:

Use the Volume of a Cylinder formula and the given values to find the radius of the cylinder:

\(\implies \sf 1715=\pi r^2 (18)\)

\(\implies \sf r^2=\dfrac{1715}{18 \pi}\)

\(\implies \sf r=\sqrt{\dfrac{1715}{18 \pi}\)

Surface Area of a Cylinder

\(\sf SA=2 \pi r^2 + 2 \pi r h \quad\textsf{(where r is the radius and h is the height)}\)

Substitute the given value of h and the found value of r into the formula and solve for SA:

\(\implies \sf SA=2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)^2 + 2 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)(18)\)

\(\implies \sf SA=2 \pi \left(\dfrac{1715}{18 \pi} \right) + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=\dfrac{1715}{9} + 36 \pi \left(\sqrt{\dfrac{1715}{18 \pi}\right)\)

\(\implies \sf SA=813.3908956...\)

Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)

Answer:

1/10

Step-by-step explanation:

Answer:

For this Its going to be 1/10

Answer: x=3-4y

                 _____

                   5

Step-by-step explanation:

If the p-value is less than 0.05, we can reject the null hypothesis and conclude that there is evidence to suggest that the population mean CO2 level has increased. If the p-value is greater than 0.05.

Null hypothesis (H0): The population means \(CO_2\) level is equal to 418 ppm.

Alternative hypothesis (Ha): The population means \(CO_2\) level is greater than 418 ppm.

A p-value, or probability value, is a statistical measure that helps to determine the significance of results obtained from a hypothesis test. It is the probability of observing a test statistic as extreme as the one computed, assuming that the null hypothesis is true. The null hypothesis is a statement that there is no significant difference between two populations or that there is no effect of an intervention or treatment.

The p-value is used to decide whether or not to reject the null hypothesis based on a pre-determined significance level, typically 0.05 or 0.01. If the p-value is less than the significance level, the null hypothesis is rejected, indicating that the observed results are unlikely to have occurred by chance alone, and that the alternative hypothesis is likely true. Conversely, if the p-value is greater than the significance level, the null hypothesis is not rejected, indicating that the observed results are consistent with the null hypothesis.

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y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given,

y-intercept 4 and slope -1/5

Now y=-1/5x+4

Hence y=-1/5x+4 is the equation in slope-intercept form for the line with y-intercept 4 and slope -1/5

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Answer:

The video is blocked for me

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

14/11

Step-by-step explanation:

a wire is bent in the form of a circle of radius 42cm .

then, length of wire = circumference of circle

= 2πR

where R is the radius of the circle, e.g., R = 42cm

now, length of wire = 2 × 22/7 × 42 = 264 cm

now, again wire is bent in the form of a square .

perimeter of square = length of wire

4 × side length = 264

side length = 66 cm

so, area of square = (66)² cm²

and area of circle = πr² = 22/7 × 42 × 42

= 22 × 6 × 42 cm²

now, ratio of the area enclosed by the circle and the square = (22 × 6 × 42)/66 × 66

= 2 × 42/66 = 14/11

Answer:

x = 37

Step-by-step explanation:

x+7 = 2(x-15)

x+7 = 2x-(2*15)

x+7 = 2x-30

7+30 = 2x-x

37 = x

So, the answer is x = 37.

it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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Answer:

OPTION C, ANGLE 1=115°

Hope it helps you

Answer:

d

Step-by-step explanation:

Answer:

Its 3 1/4

Step-by-step explanation:

Answer:

36.3

Step-by-step explanation:

I tried using the Pythagorean Theorem to measure the length (tallness) of the TV.

\(a^2 + b^2 = c^2\)

\(a^2 + (40)^2 = (54)^2\)

\(a^2 + 1600 = 2916\)

\(a^2 = 2916-1600 = 1316\)

\(a = \sqrt{1316}\)

\(a = 36.27671429\)

When this is rounded up to the nearest tenth, it would go up to 36.3.

So, the length (tallness) of the TV would be 36.3 inches.

The equation T = 2π√(L/g) satisfies dimensional consistency, indicating that it is a valid relationship for the periodic time T of a simple pendulum.

To test the validity of the equation x = x₀ + v₀t + (1/2)at², we can check if the dimensions on both sides of the equation are consistent.

Breaking down the dimensions of each term:

x: Displacement has dimensions of length (L).

x₀: Initial displacement has dimensions of length (L).

v₀t: Velocity times time has dimensions of (L/T) * T = L.

(1/2)at²: Acceleration times time squared has dimensions of (L/T²) * T² = L.

Since the dimensions on both sides of the equation are consistent (L = L), the equation x = x₀ + v₀t + (1/2)at² is valid.

Now, let's use dimensional analysis to find the relationship of the periodic time T of a simple pendulum using the factors affecting it: mass of the bob (m), length (L) of the pendulum, and acceleration due to gravity (g).

The factors affecting the periodic time T of a simple pendulum are:

Mass (m): Denoted by [M].

Length (L): Denoted by [L].

Acceleration due to gravity (g): Denoted by [LT⁻²].

The periodic time T of a simple pendulum is expected to depend on these factors in some way.

By applying dimensional analysis, we can determine the relationship between these factors. The equation is given as T = 2π √(L/g), where T is the periodic time, π is a constant, L is the length, and g is the acceleration due to gravity.

Breaking down the dimensions of each term:

T: Periodic time has dimensions of time (T).

2π: A constant, so it is dimensionless.

√(L/g): The square root of the ratio of length to acceleration due to gravity has dimensions of √([L]/[LT⁻²]) = √(T²) = T.

Therefore, the equation T = 2π√(L/g) satisfies dimensional consistency, indicating that it is a valid relationship for the periodic time T of a simple pendulum.

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The volume of oil exiting the pipe is approximately 100 cu in/hr, 2,400 cu in/day, and 1.39 cu ft/day when converting cu in/day to cubic feet per day.



To calculate the volume of oil exiting the pipe every hour, you would need to know the flow rate of the oil in cubic inches per hour. Let's assume the flow rate is 100 cubic inches per hour.To find the volume of oil exiting the pipe every day, you would multiply the flow rate by the number of hours in a day. There are 24 hours in a day, so the volume of oil exiting the pipe every day would be 100 cubic inches per hour multiplied by 24 hours, which equals 2,400 cubic inches per day.

To convert the volume from cubic inches per day to cubic feet per day, you would need to divide the volume in cubic inches by the number of cubic inches in a cubic foot. There are 1,728 cubic inches in a cubic foot. So, dividing 2,400 cubic inches per day by 1,728 cubic inches per cubic foot, we get approximately 1.39 cubic feet per day.

Therefore, the volume of oil exiting the pipe is approximately 100 cubic inches per hour, 2,400 cubic inches per day, and 1.39 cubic feet per day.

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The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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He will read 210 pages of the book and it will take Amir 6 days to catch up with Jesse

Day Jesse started reading: Saturday

Number of pages read by Jesse each day: 30 pages

Day Amir started reading: Sunday

Number of pages read by Amir each day: 35 pages

Let x represent the number of days Amir has been reading and y represent the number of pages he has read

Formulating the equation for Amir we get:

y = 35*x

y = 35x

The equation for Jesse will be:

y = 30*(x+1)

y = 30(x+1)

Equating both equations we get:

35x = 30(x+1)

35x = 30x +30

5x = 30

x=6

So, the number of pages read will be 210 and it will take 6 days for Amir to catch up with Jesse

Although a part of your question is missing, you might refer to this full question: Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day. How many days will it take Amir to catch up to Jesse, and how many pages will they each have read? Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read

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Answer:

6,309,020 in words is "six million, three hundred nine thousand, twenty."

please make me brainalist

six million three hundred nine thousand twenty

Answer:

5y+5

Step-by-step explanation:

I hope this is right

Answer:

$24

Step-by-step explanation:

First, we round to the nearest tenth.

$120

Now, we calculate the tip amount.

\(.20 * 120 = 24\)

Answer: To find the percentage of people with an IQ score less than 117, we need to calculate the z-score first. The z-score measures how many standard deviations an individual score is from the mean in a normal distribution.

The z-score formula is given by:

z = (x - μ) / σ

Where:

Let's calculate the z-score:

Now, we need to find the percentage of people with a z-score less than 1.1333. We can look up this value in the standard normal distribution table (also known as the Z-table) or use statistical software/tools.

Using the Z-table, we find that the percentage of people with a z-score less than 1.1333 is approximately 0.8708, or 87.08% (rounded to the nearest hundredth).

Therefore, approximately 87.1% of people have an IQ score less than 117.

Shannon broke down 1536 into three numbers: 256, 72, and 56, and then added the products of these three numbers to get her final answer of 256.

what is products and addition ?

The product is the result of multiplying two or more numbers together. For example, the product of 2 and 3 is 6, denoted as 2 x 3 = 6.Addition is another arithmetic operation that involves combining two or more numbers to find a total or a sum.

In the given question,

To solve 1536 ÷ 6, Shannon broke down the number 1536 into three numbers that are divisible by 6.

Let's start by finding the factors of 6: 1, 2, 3, and 6.

We need to find three numbers whose sum is equal to 1536 and each of which is divisible by 6.

We can start with the largest factor of 6, which is 6 itself. We can divide 1536 by 6 to get 256.

Now we need to find two more numbers whose sum is 128 and are also divisible by 6.

One such pair of numbers is 72 and 56.

We can verify that the sum of these three numbers is indeed 1536:

256 + 72 + 56 = 384 + 56 = 440 + 256 = 696 + 840 = 1536.

So, Shannon broke down 1536 into three numbers: 256, 72, and 56, and then added the products of these three numbers to get her final answer of 256.

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a. The number of bit strings of length 7 starting with 0 is 64 (2^6), obtained by fixing the first position as zero and considering the remaining six positions, each with two options (0 or 1).

b. The count of bit strings of length 7 with 1s in the first, third, fifth, and seventh positions is 8 (2^3), achieved by fixing these four positions as 1 and considering the remaining three positions, each with two options (0 or 1).


a. To determine the number of bit strings of length 7 that begin with a zero, we fix the first position as zero and consider the remaining six positions.

For each of the remaining six positions, we have two options: either a 0 or a 1. Therefore, the number of bit strings of length 7 that begin with a zero is 2^6 = 64.

b. To count the number of bit strings of length 7 that have a 1 in the first, third, fifth, and seventh positions, we fix these four positions to 1 and consider the remaining three positions.

For each of the remaining three positions, we have two options: either a 0 or a 1. Therefore, the number of bit strings of length 7 with a 1 in the first, third, fifth, and seventh positions is 2^3 = 8.

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Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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The weighted mean of the mixture of recyclables would be (4 x $1 + 2 x $2) / 6 = $1.33.

To calculate the weighted mean of the mixture of recyclables, first identify the number of each material and their respective values. In this case, there are 4 items worth $1 each and 2 items worth $2 each. To calculate the weighted mean, multiply each item's value by the number of items and then divide by the total number of items

In this case,

4 x $1 + 2 x $2 = $6

and 6 items total, so the weighted mean is

$6 / 6 = $1.33.

This means that if compost is now worth twice as much, the weighted mean would be

(4 x $1 + 2 x $2) / 6 = $1.33.

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The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.

Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.

In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.

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Answer: just confirming/

Step-by-step explanation: