3. If you look at the number of soldiers that died during the battle, which was
approximately 612 using the graph above, and the fact that the battle lasted only 15
minutes, how many people died per minute?

Answer:

The shaded segment  = The arc area - The triangle

The arc area = pi x radius^2 x angle/360

                     = pi x 9^2 x (360-270)/360 = 63.61 (m2)

The triangle area = 9 x 9/2 = 41.5 (m2)

(because this is right triangle)

=> The shaded segment = 63.61 - 41.5 = 22.11 (m2)

Answer:

You would have $25.20

if it was 25.02 the 0 would be included, money can be rounded like this too

Answer:

Yeah he/she is correct because I did that too.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =

(1/x^1)*y^(0.5)*(1/z^2) = 3

Answer:

Third one.

Step-by-step explanation:

The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.

Answer:

6

Step-by-step explanation:

3 sides, 3 angles.

When you have a list of all the students the fit into your population of interest and randomly select 100 students to be apart of your study, the type of sampling that you doing is stratified sampling.

A method of sampling from a population that can be divided into subpopulations is known as stratified sampling in statistics. When subpopulations within a larger population differ in statistical surveys, it may be advantageous to sample each subpopulation separately.

For example, if one is interested in differences between groups based on race, gender, or education, stratified random sampling is frequently used by researchers to learn about different subgroups or strata based on the entire population being studied. In this case, the subpopulation from the initial population is chosen.

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In the x58 chipset (Nehalem architecture), the 64-bit Front Side Bus (FSB) was replaced with a new high-speed interconnect technology called QuickPath Interconnect (QPI).

The Front Side Bus (FSB) was a communication pathway used in older Intel processors to connect the CPU with other system components such as memory and peripherals. However, as technology advanced and the demand for faster data transfer increased, the FSB started to become a bottleneck, limiting overall system performance.

QuickPath Interconnect (QPI) was introduced with the Nehalem architecture to address this limitation. QPI is a point-to-point interconnect that provides a faster and more efficient way for the processor to communicate with other components in the system, such as other processors (in multi-socket configurations), memory, and I/O devices. Unlike the shared nature of the Front Side Bus, QPI provides dedicated pathways for data transfer between different components, reducing contention and improving overall system responsiveness.

QPI technology allowed for higher bandwidth and lower latency compared to the older FSB, enabling better performance in tasks that require efficient data exchange between different parts of the system. This architectural change contributed to improved system performance and scalability, especially in multi-socket server configurations, where multiple processors needed to work together effectively.

In summary, the 64-bit Front Side Bus in the x58 chipset was replaced with QuickPath Interconnect (QPI) in the Nehalem architecture. QPI offered faster and more efficient communication between the CPU and other system components, leading to improved overall system performance.

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Answer:ok?

Step-by-step explanation:

Show me it.

Answer:

show us

Step-by-step explanation:

show us us us us us us us

Answer:

10629

Step-by-step explanation:

75 times 1.035 to the power of 144 is 10629 rounded :)

Answer:

Step-by-step explanation:

I cant see the third but I know the first and second are the same

The bar graph and the line graph display the same data.

A bar graph is a type of chart that displays data as a series of bars or columns, with each bar representing a category or group and the height or length of the bar corresponding to the value or frequency of the data.

We have,

We see that,

Bar graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Line graph:

Year    Voters turnout

1992       99

1996       107

2000      103

2004       97

2008       98

Now,

This means that the bar graph and the line graph are the same.

Thus,

The bar graph and the line graph display the same data.

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When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.

In this case, the index of our denominator is 6, and the index of the numerator is 2.

2-6 = -4

The answer is \(4^{-4}\).

Answer:

1) 4^-4

2) 1/256

Step-by-step explanation:

did on edge

To calculate the number of four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit, we need to consider the following:

1. Selecting the suits: There are 4 suits in a deck (hearts, diamonds, clubs, and spades). We need to choose two suits out of these four.

2. Selecting the two cards of one suit: Once we have chosen the two suits, we need to select two cards from one of the chosen suits. There are 13 cards in each suit, so we can choose 2 cards from the 13 available.

3. Selecting the two cards of another suit: After selecting the first suit, we need to choose two cards from the remaining suit. Again, there are 13 cards to choose from.

To calculate the total number of four-card hands satisfying these conditions, we multiply the number of choices at each step. Therefore, the total number of such hands is:

4C2 * 13C2 * 13C2 = (4! / (2! * 2!)) * (13! / (2! * 11!)) * (13! / (2! * 11!))

= 6 * (13 * 12 / (2 * 1)) * (13 * 12 / (2 * 1))

= 6 * 78 * 78

= 36,432.

Therefore, there are 36,432 four-card hands chosen from a standard 52-card deck that contain two cards of one suit and two cards of another suit.

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Answer:

the answer is 325,000,000

Step-by-step explanation:

Answer:

To find out how much total money Don will pay in a year, we need to calculate the interest on the loan. The formula for calculating simple interest is Interest = Principal x Rate x Time, where Principal is the amount of money borrowed, Rate is the interest rate per year, and Time is the duration of the loan in years.

In this case, the Principal is $22,500, the Rate is 3%, and the Time is 1 year. So, the Interest = 22,500 x 0.03 x 1 = $675. This means that Don will have to pay $22,500 + $675 = $23,175 in total in a year. However, the options given in the question are different from the calculated answer. Option f is incorrect, and option i is correct. The calculated answer matches option i, which is $443.01.
To calculate the total money Don will pay in a year, you need to find the interest and add it to the principal amount.

Step 1: Calculate the interest
Interest = Principal × Interest Rate × Time
Interest = $22,500 × 3% × 1 year
Interest = $22,500 × 0.03 × 1
Interest = $675

Step 2: Add the interest to the principal amount
Total Payment = Principal + Interest
Total Payment = $22,500 + $675
Total Payment = $23,175

So, Don will pay a total of $23,175 in a year. I found this answer by calculating the interest and then adding it to the initial amount of the car.

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Answer:

VAT = Rs 4,080 and VAT% = 12%.

Step-by-step explanation:

VAT = Rs 38,080 -Rs 34,000

or, VAT = Rs 4,080

now

VAT % = 4,080/34,000×100%

= 12%

A computer costing Rs. 34,000 is sold at Rs. 38080 including VAT. Find the amount of VAT and its percentage.

• Amount of VAT = Rs. 4,080

• VAT % = 12%

→ Amount of VAT = Rs 38080 - Rs 34000 = Rs 4080

→VAT % = \( \frac{4080}{34000} \times 100 = 12\)%

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

[VAT stands for Value Added Tax]

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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First one is a rotation 90° clockwise

Second one is B. 134°

Answer:

A 90° clockwise

B 134°

Answer:

12,750

Step-by-step explanation:

After investing for 10 years at 4.31% interest, your $8,361 investment will have grown to $12,750

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Answer:

1/4

Step-by-step explanation:

The slope of a graph is always the rate of change for every value of x, in this case, days. Since she is adding 1/4 of a mile to her run each day, this means that the slope of this linear relationship is 1/4.

She increases a full mile in 4 days, just a little note.

Answer: B''

This is because point B' has x coordinate x = -2. This point is directly on the mirroring line, so it doesn't move when the reflection is applied.

We can write B' = B''

When A’B’C’ is reflected across the line x= -2 to from A”B”C”, vertex B” of A”B”C” will have the same coordinates as B’

For given question,

A’B’C’ is reflected across the line x= -2 to form the  A”B”C”

In a reflection over line a reflected image has the same distance from the reflection line as the original point, but is on the opposite side of the line.

Coordinates of triangle A’B’C’ are,

A’ = (-6, -2), B’ = (-2, -6), C’ = (-4, -2)

When A’B’C’ is reflected across the line x= -2 to form the A”B”C” then coordinates of the A”B”C”  would be,

A” = (2, -2)

B” = (-2, -6)

C” = (0, -2)

This means, the coordinates of B’ = the coordinates of B”

Therefore, when A’B’C’ is reflected across the line x= -2 to from A”B”C”, vertex B” of A”B”C” will have the same coordinates as B’

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Step-by-step explanation:

integral from 0 to 2pi of cos3x

(sin3x)/3 from 0 to 2 pi

sin 6pi /3 - sin 0 /3 = 0

The table of values that represents exponential decay is (c)

From the question, we have the following parameters that can be used in our computation:

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

None of the given points satisfy the inequality 2x - 3y < 1.

Step-by-step explanation:

To determine which points satisfy the inequality 2x - 3y < 1, we can substitute the coordinates of each point into the inequality and check if the inequality holds true.

Let's consider the given points:

Point A: (1, 0)

2(1) - 3(0) < 1

2 - 0 < 1

2 < 1 (False)

Point B: (-1, -1)

2(-1) - 3(-1) < 1

-2 + 3 < 1

1 < 1 (False)

Point C: (3, -2)

2(3) - 3(-2) < 1

6 + 6 < 1

12 < 1 (False)

None of the given points satisfy the inequality 2x - 3y < 1.

Therefore, none of the points A, B, or C satisfy the inequality.

Therefore , the solution of the given problem of function comes out to be (gh)(x) = 2x³ + 11x² + 2x - 15.

The study of mathematics encompasses arithmetic, figures, and their categories, as well as histology, structures, and both real and fictitious geographic places. A function describes the connections between various elements, with each one having a corresponding outcome. A function is composed of an array of different parts that, when combined, result in particular outputs for every input.

Here,

We must multiply g(x) and h(x) first, then simplify the final expression to determine the rule for (g*h)(x):

=> G(x) * h(x) = (2x + 3) * (x2 + 4x - 5)

=>  2x * x2 + 4x * (-5) + 3 * x2 + 4x - 3 * 5

=> 2x³ + 8x² - 10x + 3x2 + 12x - 15

=>  2x³ + 11x² + 2x - 15

The formula for (gh)(x) is therefore (gh)(x) = 2x³ + 11x² + 2x - 15 .

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a) Marcus' result is likely to be more reliable.

b) Because the sample was bigger.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

The higher the total number of outcomes, the more reliable the probability calculated is.

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The correct order of the steps in the scientific method is: observation, hypothesis, experiment, result, and conclusion

The correct order of the steps in the scientific method is as follows:

e. Observation - Start by making observations or gathering information about a particular phenomenon or problem. This involves carefully observing and noting relevant details and patterns.

b. Hypothesis - Based on the observations, formulate a hypothesis, which is a proposed explanation or prediction that can be tested through experimentation.

c. Experiment - Design and conduct experiments or investigations to test the hypothesis. This step involves carefully controlling variables, collecting data, and performing measurements.

a. Result - Collect and analyze the data obtained from the experiments or investigations. This analysis helps determine if the results support or reject the hypothesis.

d. Conclusion - Draw a conclusion based on the analysis of the data. Evaluate whether the results support the hypothesis and discuss the implications and significance of the findings. The conclusion may also involve suggesting further research or revisions to the hypothesis.

The scientific method is a systematic approach used in scientific inquiry to investigate and understand the natural world. It allows researchers to gather evidence, test hypotheses, and draw reliable conclusions based on empirical data.

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Step-by-step explanation:

You need to translate all the points to the right 3 and up 6

Therefore, you are going to use this formula:

(x,y) ⇾ (x + 3, y + 6)

This is the same format as the previous problem, if you have noticed.

Using this, plug in each coordinate, starting with  P (5, -1)

(5, -1) ⇾ ( 5 + 3, -1 + 6)

(5, -1) ⇾ ( 8, 5 )

P\(^{1}\) = (8, 5)

Now point Q, (0, 8)

(0, 8) ⇾ (0 + 3, 8 + 6)

(0, 8) ⇾ ( 3, 14 )

Q\(^{1}\) = (3, 14)

And last but not least, the point R, (7, 5)

(7, 5) ⇾ (7 + 3, 5 + 6)

(7, 5) ⇾ ( 10, 11 )

R\(^{1}\) = (10, 11)

Therefore, P\(^{1}\) = (8, 5), Q\(^{1}\) = (3, 14), R\(^{1}\) = (10, 11) is your answer. This is the 4th option or D.

Hope this for you to understand this a bit more! =D