Round 8,381 to the nearest hundred.

Answer:

Step-Distance  =  (speed) x (time)

                     (3 m/sec) x (45 sec)  =  135 meters  by-step explanation:

Answer:

The correct answer is D.) 135 m

Step-by-step explanation:

I just did the instruction on edge 2021 and got it right

Answer:

C: 31 m/s

Step-by-step explanation:

It falls from a dam.

Thus;

Initial velocity; u = 0 m/s

Height; h = 49 m

Acceleration due to gravity is 9.8 m/s²

To solve for the final velocity this, we will use Newton's third equation of motion;

v² = u² + 2gh

v² = 0² + 2(9.8 × 49)

v = √960.5

v ≈ 31 m/s

Answer:

Step-by-step explanation:

Given,

x = \( \frac{5}{2} \)

Now, let's find the value of 2x - 5

\(2x - 5\)

plug the value of x

\( = 2 \times \frac{5}{2} - 5\)

Reduce the number with Greatest Common Factor 2

\( = 5 - 5\)

The sum of two opposites equals 0

\( = 0\)

Hope this helps..

best regards!!

Answer:

0

Step-by-step explanation:

x=5/2

therefore

2(5/2)-5=10/2-5

=5-5(since 10/2=5)

=0

Answer:

10.2

Step-by-step explanation:

the hypotenuse is 13 and one of its lengths is 8. Let's assume that the perpendicular is 8 and we have to find the base so

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

8^2+b^2=13^2

64+b^2=169

b^2=169-64

b^2=105

\(\sqrt{b^{2}\)=\(\sqrt{105}\)

b=10.246950766

to the nearest tenth

b=10.2

The lower confidence bound for the proportion of households owning at least one firearm is approximately 0.219 (or 21.9%) at a 95% confidence level.

To calculate the lower confidence bound for the proportion of households in the city that own at least one firearm, we can use the formula for a confidence interval for a proportion.

Given that the sample size is 539 and the number of households owning at least one firearm is 133, we can calculate the sample proportion (p-hat) as the number of successes (133) divided by the sample size (539), which is approximately 0.2465.

To calculate the lower confidence bound, we need to determine the critical value associated with the desired confidence level. Since we are using a 95% confidence level, we can use the standard normal distribution and find the critical value corresponding to a one-sided confidence interval.

The critical value for a 95% confidence level is approximately 1.645.

Next, we calculate the standard error of the proportion, which is the square root of (p-hat * (1 - p-hat)) divided by the sample size. Using the calculated p-hat value, the standard error is approximately 0.0165.

Finally, we can calculate the lower confidence bound by subtracting the product of the critical value and the standard error from the sample proportion:

Lower Confidence Bound = p-hat - (critical value * standard error)

Lower Confidence Bound = 0.2465 - (1.645 * 0.0165)

Lower Confidence Bound ≈ 0.219

Therefore, using a 95% confidence level, the lower confidence bound for the proportion of households in the city that own at least one firearm is approximately 0.219, indicating that at least 21.9% of households in the city own at least one firearm.

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Answer:

100

Step-by-step explanation:

If you need 20 for every 2 pizzas, that means you would need 10 for 1 pizza. (tomato's) 10 x (pizzas)10 = 100

The length of the arc is about 6.11 units

We are given the central angle and the diameter of the circle.

Let us calculate the circumference of the circle using the formula:

Circumference = πd, where π = 3.14 and d = 10 cm

Circumference = 3.14 × 10 = 31.4 cm

The formula to calculate the length of the arc is:

Length of the arc = 2πr(Central angle/360°), where r = radius of the circle, π = 3.14, central angle = 35°, and circumference = 31.4 cm

We know that: d = 2r

Substitute the value of d, we get:

10 = 2r=> r = 5 cm

Length of the arc = 2 × 3.14 × 5 (35/360)≈ 6.11 units (rounded to two decimal places)

Therefore, the length of the arc is about 6.11 units (rounded to two decimal places).

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The square root √(7 · x - 4) = 2 has a solution for the variable x is 8 / 7.

In this problem, we find a square root whose solution for the variable x has to be found solely by algebra properties. First, write the radical equation:

√(7 · x - 4) = 2

Second, elevate to the square of the expression:

7 · x - 4 = 4

Third, clear the variable x by algebra properties:

7 · x = 8

x = 8 / 7

The solution to the square root is equal to 8 / 7.

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Answer:

how do you have to answer it so i can give you the answer

Step-by-step explanation:

All the third roots of the complex number -3 -3i. z₁ = 1.35 - 0.35i, z₂ = -0.37 + 1.26i, and z₃ = -1.07 - 0.91i.

To find the third roots of a complex number, one must first convert the given complex number to polar form. This involves finding the magnitude of the number and the angle that it makes with the positive real axis.

After finding the polar form,

we can use De Moivre's Theorem to find the third roots.

Let us solve the given problem. Given complex number is z = -3 - 3i.

Magnitude of z can be calculated as |z| = √(a² + b²), where a and b are real and imaginary parts of z.

Hence, |z| = √(3² + 3²) = 3√2. Angle θ made by z with the positive real axis can be calculated as θ = tan⁻¹(b/a), where b and a are real and imaginary parts of z.

Hence, θ = tan⁻¹(-3/3) = -π/4 (as z lies in the third quadrant)Polar form of z can be written as z = 3√2 ∠ (-π/4)

Now, using De Moivre's Theorem, third roots can be calculated as

z₁ = (3√2)^(1/3) ∠ [-π/12 + 2nπ/3]

= 3^(1/6)√2 ∠ [-π/12 + 2nπ/3],

where n = 0, 1, 2.

Substituting n = 0, we get

z₁ = 3^(1/6)√2 ∠ (-π/12)z₂

= (3√2)^(1/3) ∠ [π/4 + 2nπ/3]

= 3^(1/6)√2 ∠ [π/4 + 2nπ/3],

where n = 0, 1, 2.Substituting n = 0, we get

z₂ = 3^(1/6)√2 ∠ (7π/12)

z₃ = (3√2)^(1/3) ∠ [5π/4 + 2nπ/3]

= 3^(1/6)√2 ∠ [5π/4 + 2nπ/3], where n = 0, 1, 2.

Substituting n = 0, we get

z₃ = 3^(1/6)√2 ∠ (17π/12)

Hence, the three third roots of -3 - 3i are:

z₁ = 3^(1/6)√2 ∠ (-π/12) = 1.44(cos(-π/12) + i sin(-π/12)) ≈ 1.35 - 0.35i

z₂ = 3^(1/6)√2 ∠ (7π/12) = 1.44(cos(7π/12) + i sin(7π/12))

≈ -0.37 + 1.26i

z₃ = 3^(1/6)√2 ∠ (17π/12)

= 1.44(cos(17π/12) + i sin(17π/12))

≈ -1.07 - 0.91i

Converting these to a + bi form,

z₁ = 1.35 - 0.35i, z₂ = -0.37 + 1.26i, and z₃ = -1.07 - 0.91i.

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Answer:

Step-by-step explanation: watch the video

In the box plot, most of the data is clustered around 75 - 78 (option A).

A box plot is used to study the distribution and level of a set of numbers. The box plot has two whiskers and a box. The two whiskers represent the minimum value and the maximum value.

The first line on the box is the lower quartile. The next line on the box represents the median. The third line on the box represents the upper quartile. Majority of the data would lie between the first quartile and the third quartile.

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One of the advantages of using face-to-face paper surveys with student workers to collect data on students' attitudes toward the new fitness and recreation center is the opportunity for immediate clarification and follow-up.

Face-to-face paper surveys offer several advantages in data collection. One significant advantage is the ability to provide immediate clarification and follow-up to respondents. When students are asked survey questions in person, they have the opportunity to seek clarification if they do not fully understand a question or need further explanation. The student workers administering the survey can address any confusion, provide additional context, or rephrase questions to ensure that respondents fully grasp the intent of each question. This immediate clarification helps reduce ambiguity and ensures accurate responses.

Moreover, face-to-face interaction allows for proactive engagement with respondents. Student workers can engage in conversations, build rapport, and encourage participation, thereby potentially increasing response rates. Students may feel more comfortable providing open-ended feedback or sharing nuanced opinions when speaking directly to another person rather than responding through online or remote methods.

Additionally, the use of paper surveys provides a tangible format for respondents to record their answers using a pencil or pen. This traditional method allows for ease of completion and familiarity, especially among individuals who may not be tech-savvy or prefer handwritten responses. Paper surveys also eliminate potential technical issues or connectivity problems that could hinder data collection in online or digital formats.

Furthermore, the face-to-face interaction during survey administration allows student workers to gauge respondent reactions, body language, and non-verbal cues, which can provide valuable insights into respondents' attitudes or emotions beyond their explicit answers. These non-verbal cues can add depth and context to the collected data, offering a more comprehensive understanding of students' attitudes toward the fitness and recreation center.

In summary, one of the advantages of using face-to-face paper surveys administered by student workers for collecting data on students' attitudes toward the new fitness and recreation center is the opportunity for immediate clarification and follow-up. This mode of data collection allows for real-time explanation of questions, addresses ambiguity, encourages participation, and provides a tangible format for respondents to record their responses. It also enables student workers to observe non-verbal cues and reactions, enhancing the overall understanding of students' attitudes and opinions.

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There about 24 hockey tickets were bought by Bryant. Out of which 14 tickets were child tickets.

A mathematical claim containing two equal algebraic expressions is known as an algebraic equation.

Given that the cost of an adult ticket is $5.50, and a child ticket is $2.00. The total spent is $83, and the total number of tickets bought is 24.

Let us consider the number of adult tickets bought is x and the number of children tickets bought is y.

Then x+y=24. From this, x=24-y.

Also, the given situation is written in an expression as,

\(\begin{aligned}5.50x+2.00y&=83\\5.50(24-y)+2.00y&=83\\132-5.50y+2.00y&=83\\-3.5y&=-49\\y&=14\end{aligned}\)

The required answer is 14.

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Answer:

Data set: 47, 45, 44, 41, 48

1. Find the mean.

Mean = 47 + 45 + 44 + 41 + 48

5

= 225

5

= 45

2. Find each absolute deviation.

Absolute deviations: 2, 0, 1, 4, 3

What is the mean absolute deviation (MAD) for the data set?

MAD =

Step-by-step explanation:because thats it because yea

The value of x is equal to 9.71 units.

In Mathematics, the basic proportionality theorem states that when any of the two (2) sides of a triangle is intersected by a straight line which is parallel to the third (3rd) side of the triangle, then, the two (2) sides that are intersected would be divided proportionally and in the same ratio.

By applying the basic proportionality theorem to the given triangle, we have the following:

10x - 72 = 3x - 4

By rearranging and collecting like-terms, we have the following:

10x - 3x = 72 - 4

7x = 68

x = 68/7

x = 9.71 units

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The explicit formula that satisfy the given sequence is: aₙ = 0.75 (6)ⁿ⁻¹

Thus, option B is correct.

Here, we have,

To find:

The explicit formula for the nth term of the sequence.

we have,

The recursive formula of the sequence is given by:

aₙ = 6aₙ₋₁

Here, a₁ = 0.75.

Find first few terms of the sequence,

a₁ = 0.75

=> a₂ = 6(0.75) = 4.5

=> a₃ = 6(4.5) = 27

which can be written as,

a₃ = 6(4.5)

    = 6× 6(0.75)

   = 6² (0.75)

   = 27

so, we will have,

a₄ = 6³ (0.75) .......

...........................................

So, the explicit formula that satisfy the given sequence is:

aₙ =  (6)ⁿ⁻¹ × 0.75

or, aₙ = 0.75 (6)ⁿ⁻¹

Thus, option B is correct.

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complete question:

attached :

The number of men living in the village is 260.

A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:

                                           \(ax + by = c\)

Given:

Total inhabitants in the village: 817

Number of children: 241

There are 56 more women than men in the village

Total adults = Total inhabitants - Number of children

Total adults = 817 - 241

Total adults = 576

Let number of men in the village be 'x' and number of women in the village be 'y',

∴ y=x+56 (given) ..................(1)

Also, x+y=576 .................(2)

From equation (1) and (2),

x + (x + 56) = 576

2x + 56 = 576

2x = 576 - 56

2x = 520

x = 520 / 2

x = 260

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There are major difference between them on the basis principles each method uses, the accuracy or precision, the complexity of the techniques, and any sources of error.

Relative Dating :-

Radiometric Dating :-

Difference between Relative Dating and Radiometric Dating are :

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Answer: 74 units^2

Step-by-step explanation: Took the test :)

Answer:

0

Step-by-step explanation:

We can use the formula change in y divided by change in x for this, so for example we can take the points (6, 2) and (3, 2).

The change in y would be 2 - 2 = 0.

The change in x would be 3 - 6 = -3

Chang in y divided by change in x = 0/-3 = 0.

Answer:

Each teacher will have 21 students

Step-by-step explanation:

273 divded by 21 = 21

Answer:

21 students

273/13=21 students each to a teacher.

273:13

÷13 both sides to get

21:1

21 students to 1 teacher

Answer:

2

Step-by-step explanation:

i just took the test and that was the correct answer

Answer:

the answer is C.

Step-by-step explanation:

equals to 125

Answer:

X is equal to 125

Step-by-step explanation:

The lines that are shown are called vertical angles. Vertical angles are when two lines intercept and if one side is 125 degrees, then the other side of the veritcal angle is too. I'm not too good at explaining but I hope it helped:)

The volume of the box can be calculated using the equation V = 16w.

The volume of the box can be calculated using the equation V = l x w x h.

In this case, the length is 1, the width is w, and the height is 8 cm. Thus, the volume of the box is V = 1 x w x 8 = 8w. As the length of the box is twice the width, the length can be written as 2w, and the volume becomes V = 2w x w x 8 = 16w. So, the volume of the box is 16w.

To calculate the volume of the box, the equation V = l x w x h is used, where l is the length, w is the width, and h is the height of the box. The given values of the length, width, and height of the box are 1, w, and 8 cm respectively.

So, the volume of the box is V = 1 x w x 8 = 8w. A

s the length of the box is twice the width, the length can be written as 2w. So, the volume of the box becomes V = 2w x w x 8 = 16w.

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Answer:

$36.25

Step-by-step explanation:

Shipping and tax are 25% the price of online book, thus it will be 25/100 x 29 = $7.25

Thus, total will be 29 + 7.25 = $36.25

Solution,

4x^2+28x^3

Take the common,

4x^2(1+7x)

Hope it helps

Good luck on your assignment

Answer:

Step-by-step explanation:

=4x²+28x³

taking common 4x²

=4x²[1+7x] i think this answer may be right

It is important to carefully select the survey population and explain why the survey is necessary. It is also important to limit the number of questions and ask them in a clear and concise manner.

Select the survey population carefully: This means selecting a group of people who are representative of the target population and have the relevant knowledge or experience to answer the survey questions. For example, if the survey is about customer satisfaction with a product, the survey population should be customers who have used the product.

Limit the number of questions: It's important to keep the survey short and focused to reduce the risk of respondent fatigue and increase the response rate. A shorter survey also makes it easier to analyze the data.

Explain why the survey is necessary: This helps to increase the response rate by providing a clear explanation of why the survey is being conducted, what the data will be used for, and how it will benefit the target population.

Select the survey population randomly: Random selection helps to ensure that the survey results are representative of the target population and minimize the risk of bias in the sample.

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what tips can you share with the group? check all that apply.

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional