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Who could elect representatives to the House of Burgesses?

Answer:

Step-by-step explanation:

The altitude of an equilateral triangle is basically the height of the triangle. We can find this using trigonometry, even though I'm sure there's a beautiful little formula that can find this.

If you cut an equilateral triangle in half, you get two special 30-60-90 triangles. The base of each triangle is 3.5 cm in length, and the height (not the hypotenuse!) is equal to:

\(base*\sqrt{3}\)

So basically we have 3.5(sqrt(3)), or our altitude! Wow, how easy!

\(3.5(\sqrt{3})=6.06\)

Hope this helps!

To calculate the annual payment required to pay off a five-year, $25,000 loan at an interest rate of 3.50 percent EAR, we can use the formula for calculating the equal annual payment for an amortizing loan.

The formula is: A = (P * r) / (1 - (1 + r)^(-n))

Where: A is the annual payment,

P is the loan principal ($25,000 in this case),

r is the annual interest rate in decimal form (0.035),

n is the number of years (5 in this case).

Substituting the given values into the formula, we have:

A = (25,000 * 0.035) / (1 - (1 + 0.035)^(-5))

Simplifying the equation, we can calculate the annual payment:

A = 6,208.61

Therefore, the annual payment required to pay off the five-year, $25,000 loan at an interest rate of 3.50 percent EAR is $6,208.61.

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Answer:

20/3

Step-by-step explanation:

Slope = Rise/Run

11-(-9)/2-(-1)

= 20/3

Answer:

C

Step-by-step explanation:

The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

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Step-by-step explanation:

4/2=2 souvenirs per day

2x=14=>x=7 days time to buy 14 souvenirs

Hence the 6th day is the day before he buys 14 souvenirs.

Answer:

Copying a line segment or angle is an illustration of transformation. Both are similar, because they are both rigid transformation.

When an angle is copied to a new angle, the new angle and the old angle will have the same measure

Similarly;

When a line segment is copied to a new segment, the new line segment and the old line segment will have the same measure

This type of transformation is referred to as a rigid transformation.

Hence, copying a line segment is similar to copying an angle, because they are both rigid transformations

Step-by-step explanation:

The volume of the container is the amount of can in it

The contents weigh 1047.1 ounces

The given parameters are:

Volume = 28.3 cubic feet

Average weight of can = 37 ounces per cubic foot

So, the weight of the container would be:

Weight = Volume * Average weight of can

Substitute known values

Weight = 28.3 cubic feet * 37 ounces per cubic foot

Evaluate the product

Weight = 1047.1 ounces

Hence, the contents weigh 1047.1 ounces

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Answer:

C.

Step-by-step explanation:

sorry if im wrong

Answer:

i believe that the answer would be D

Step-by-step explanation:

the slope is positive eliminating the first 2 answers. it goes over and up about one so that leaves C and D

For some values, such as the speed of light or the separation between the Earth and the sun, scientists and mathematicians long ago realized they needed a simpler way to write and refer to these large numbers.

They developed/created scientific notation at that time.

For us to estimate the order of magnitude:

Firstly, write the number in scientific notation.

Secondly, Round up to the nearest integer times a power of ten or power of ten.

Thirdly, Apply these estimates to your calculations.

Fourthly, If possible, compare the result to the exact one.

Example question, How many orders of magnitude are there in one million, for instance?

Answer will be, In order to represent the number 1,000,000, we will move the decimal to the left, stopping just before the first digit. The order of magnitude is determined by the quantity of left moves you make. Since we moved it six times, there are six orders of magnitude between ten and one million, which means that ten times six is equal to one million.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given measures

STEP 2: Find the length of AC

Hence, AC is 39

The expected time taken for the system to fail is dependent on the specific details of the system in question.

However, if we assume that the three modes have equal probabilities of occurring and that the failure occurs when the system reaches a specific mode, we can use the concept of Markov chains to find the expected time until failure.

In this case, the expected time until failure would be the reciprocal of the probability of the system transitioning to the failure mode.

Therefore, if each mode has an equal probability of 1/3, the expected time until failure would be 3 units of time.

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Mrs. Rosenblatt's class has an average grade of 87. After realizing she left out Joe's score of 65, the new mean will be lower than 87.

Explanation:

To find the new mean, we need to calculate the sum of all the grades in the class, including Joe's score of 65, and divide it by the total number of students in the class. Let's assume there are n students in the class.

The sum of all the grades in the class, including Joe's score, will be (87 * n) + 65, since the average grade before Joe's score was added was 87. Therefore, the new mean will be:

[(87 * n) + 65] / (n + 1)

Expanding this expression, we get:

(87n + 65) / (n + 1)

Simplifying this expression, we get:

(87n / (n + 1)) + (65 / (n + 1))

Since n is a positive integer, the value of (87n / (n + 1)) will be slightly less than 87. Therefore, the new mean will be slightly less than 87, reflecting the lower score added to the class average.

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The actual value of the sample average may vary due to chance, and the typical distance it is away from the expected value is about 0.24 feet.

Given that a large population of Indian elephants has an average height of 9 feet with an SD of 0.75 feet, we can use this information to answer the following questions.
If 10 elephants are selected at random, the expected average height of these 10 elephants is still 9 feet. This is because the population average height of 9 feet remains unchanged, even if we randomly select a smaller group of elephants.
However, the actual value of the sample average may vary due to chance. This variation in the sample average is measured by the standard error of the mean (SEM). The SEM is calculated as the standard deviation of the sample divided by the square root of the sample size. For a sample size of 10, the SEM would be 0.24 feet.
Therefore, the typical distance the sample average is away from its expected value is about 0.24 feet. This means that if we were to repeat this random sampling process many times, the average height of the 10 elephants would vary by approximately 0.24 feet on average.
In summary, if 10 elephants are randomly selected from a large population of Indian elephants with an average height of 9 feet and an SD of 0.75 feet, we can expect the average height of these 10 elephants to be 9 feet.

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The mean amount of snow per day is equal to 19 cm snow per day.

In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:

Mean = [F(x)]/n

For the total amount of snow based on the frequency, we have;

Total amount of snow (s cm), F(x) = 5(8) + 15(10) + 25(7) + 35(2) + 45(3)

Total amount of snow (s cm), F(x) = 40 + 150 + 175 + 70 + 135

Total amount of snow (s cm), F(x) = 570

Now, we can calculate the mean amount of snow as follows;

Mean = 570/30

Mean = 19 cm snow per day.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The maximum length of an instruction for the 8086-based IBM PC is 15 bytes.

The 8086 microprocessor was used in the original IBM PC and was capable of executing instructions up to 15 bytes in length. The instruction length is determined by the number of bytes needed to encode the operation code, the addressing mode, and any operands.

The maximum length of 15 bytes allows for complex instructions that can perform multiple operations in a single instruction cycle, increasing the efficiency of the processor. However, not all instructions require the full 15 bytes, and many are much shorter, so the average instruction length is typically much less than 15 bytes.

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Answer:

The evidence is not sufficient to suggest that the theft rate of Nissan Maxima cars are higher than national rate

Step-by-step explanation:

The number of cars that where reported stolen in 1999 = 2.2% = 0.022

The number of Nissan Maxima cars in the sample = 400

The number of Nissan Maxima cars that were reported stolen = 12

The level of significance, α = 0.05 level

The critical-z at 0.05 = 5% level = 1.645

The percentage of Nissan Maxima cars reported stolen, \(\hat p\) = 12/400×100  = 3%

The test statistic is given as follows;

\(z=\dfrac{\hat{p}-p_0}{\sqrt{\dfrac{p_0 \cdot (1 - p_0)}{n}}}\)

Therefore

\(z=\dfrac{0.03-0.022}{\sqrt{\dfrac{#0.022 \cdot (1 - #0.022)}{400}}} \approx 1.0908\)

The test statistic = 1.0908

The p-value P(Z > 1.0908) = 1 - P(Z > 1.0908) = 1 - 0.86214 = 0.13768

Given that the critical-z is larger than the absolute value of the test statistic, the given data is statistically insignificant, we fail to reject the null hypothesis

There is not enough statistical evidence to suggest that the theft rate of Nissan Maxima cars are higher than national rate.

Answer:

first add the numbers that have the same variable s x7+8x=15x

then the numbers first add and then you subtract

1+7=8

3-8= -5

15x-5

Answer:

8x+x7+9

Step-by-step explanation:

subtracted one term from another

subtracted 1 from 3 to get 2

x7=+8x+2+7

add two terms together

add 2 and 7 toget 9

x7+8x+9

Answer:

75+75×15/100=75+11.25=86.25$

Answer:

x+5

Step-by-step explanation:

15+x-10=x+5

Answer:

Step-by-step explanation:

\(8-7x-6-8x=5\\\\\mathrm{Group\:like\:terms}\\-7x-8x+8-6=5\\\\\mathrm{Add\:similar\:elements:}\:-7x-8x=-15x\\-15x+8-6=5\\\\\mathrm{Add/Subtract\:the\:numbers:}\:8-6=2\\-15x+2=5\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\-15x+2-2=5-2\\\\Simplify\\-15x=3\\\\\mathrm{Divide\:both\:sides\:by\:}-15\\\frac{-15x}{-15}=\frac{3}{-15}\\\\Simplify\\x=-\frac{1}{5}\)

Answer:

B

Step-by-step explanation:

a² + 14a - 51 = 0 ( add 51 to both sides )

a² + 14a = 51

to complete the square

add ( half the coefficient of  the x- term )² to both sides

a² + 2(7)a + 49 = 51 + 49

(a + 7)² = 100 ( take square root of both sides )

a + 7 = ± \(\sqrt{100}\) = ± 10 ( subtract 7 from both sides )

a = - 7 ± 10

then

a = - 7 + 10 = 3

a = - 7 - 10 = - 17

Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

Answer:

364.42 ft.

Step-by-step explanation:

For step 1 we should multiply pi by r and 2.

π x r x 2

For step 2 we should multiply pi by 58 and 2.

π x 58 x 2

In result, we should end up with 364.424748 ft. or for short 364.42 ft.

I hope I helped you... Have a great and nice day! :D

Answer: I believe the answer is M= -4

Step-by-step explanation:

ABC needs money to buy a new car.

a) ABC can borrow approximately $20500.99 from his friend initially

b) Assuming a payment growth rate of 0.75, ABC can borrow approximately $50139.09

a) To calculate how much ABC can borrow from his friend initially, we can use the present value formula for an annuity:

PV = PMT * [(1 - (1 + r)^(-n)) / r]

Where PV is the present value, PMT is the annual payment, r is the interest rate, and n is the number of years.

In this case, ABC will make annual payments of $5000 in the first year and $8000 for the next four years, with a 7% compounded interest rate.

Calculating the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07]

PV ≈ $20500.99

Therefore, ABC can borrow approximately $20500.99 from his friend initially.

b) If ABC's salary is estimated to increase at a rate of 0.75, we need to adjust the annual payments accordingly. The new payment schedule will be $5000 in the first year, $5000 * 1.75 in the second year, $5000 * (1.75)^2 in the third year, and so on.

Using the adjusted payment schedule, we can calculate the present value:

PV = 5000 * [(1 - (1 + 0.07)^(-5)) / 0.07] + (5000 * 1.75) * [(1 - (1 + 0.07)^(-4)) / 0.07]

PV ≈ $50139.09

Therefore, ABC can borrow approximately $50139.09 from his friend initially, considering the estimated salary increase.

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The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

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The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:

The population is all bottles in the production line and the sample is the 50 bottles that were selected.

Step-by-step explanation:

Edge 2020

Answer:

He's right

Step-by-step explanation: