Find the first three non-zero terms of the Maclaurin series for f(x) = ln(1 + 4x²). 4c. -

Answers

Answer 1

the first three non-zero terms of the Maclaurin series for

f(x) = ln(1 + 4x²) are 4x^2, -16x^4, and 85.33x^6

The function is f(x) = ln(1 + 4x²).

Using the Maclaurin series, we can express f(x) as:

f(x) = ∑n=0∞(-1)^n(4x^2)^n+1/(n+1)

We want to find the first three non-zero terms of this series.

Let's simplify the expression a bit by making the exponent of 4x² one less than the numerator of the fraction.

This gives us: f(x) = ∑n=0∞(-1)^n4^(n+1)x^(2n+2)/(n+1)

Now we can find the first three non-zero terms

by evaluating the expression for n = 0, 1, and 2.

When n = 0, we get the first term: f(x) = (-1)^0 4^1 x^(2*0+2)/(0+1) = 4x^2

When n = 1, we get the second term:

f(x) = (-1)^1 4^2 x^(2*1+2)/(1+1) = -32x^4/2 = -16x^4

When n = 2, we get the third term:

f(x) = (-1)^2 4^3 x^(2*2+2)/(2+1) = 256x^6/3 = 85.33x^6

(rounded to 2 decimal places)

Therefore, the first three non-zero terms of the Maclaurin series for

f(x) = ln(1 + 4x²) are 4x^2, -16x^4, and 85.33x^6.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11


Related Questions

Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm

Answers

Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

Know more about mean delivery time here:

https://brainly.com/question/14268332

#SPJ11

What is the value of the expression. (-8+4)- (3-9)

Answers

Answer:

2

PLZ MARK BRAINLIEST

Step-by-step explanation:

(-8+4) - (3-9) = (-4) - (-6) = -4 + 6 = 2

If f(x) and f -1 (x) are inverse functions of each other and f(x) = 2x+5, what is f -1 (8)?

Answers

Answer: 3/2

Step-by-step explanation:

The first one: y=2x+5

X=2y+5.Then solve for y after switching x and y

X-5=2y, X-5/2=y

Since F-1= X-5/ 2, we plug the value of X in

8-5/2, so it should be 3/2

Find the slope of 5,-7 and 6,-4

Answers

The slope from points (5, -7) and (6, -4) is 3.

The slope of a line:

The slope of a line represents the stiffness or direction of a line. It is also defined as the change in the y-coordinate with respect to the x-coordinate.

The slope of a line from the points (x₁, y₁) and (x₂, y₂) is given by

Slope of a line (m) = [y₂ - y₁]/[x₂ - x₁]

Here we have

Points (5, -7) and (6, -4)

As we slope of the line is [y₂ - y₁]/[x₂ - x₁]  

Take (5, -7) = (x₁, y₁) and (6, -4) = (x₂, y₂)    

Slope from given points = [-4 - (-7) ]/[6 - 5]    

= [-4 + 7) ]/[1]  = 3    

Therefore,

The slope from points (5, -7) and (6, -4) is 3.

Learn more about Slope of lines at

https://brainly.com/question/28831181

#SPJ1

My car uses 8.5L of petrol per 100km travelled. If petrol costs $2.05 per litre, how much will the petrol cost for my trip?

Answers

the petrol cost for the trip is:

C = 2.125*$2.05 = $4.36

How to get the cost of the trip?

After a search online, I've found that the trip is of 25km.

Here we know that the car uses 8.5L per 100km, then in 25 km, the car will use one-fourth of 8.5L, that is:

8.5L/4 = 2.125L

So the volume of petrol that the car uses for the trio is 2.125 liters of petrol.

And each liter costs $2.05, then the petrol cost for the trip is given by the product between the total volume of petrol consumed and the cost per liter.

C = 2.125*$2.05 = $4.36

Thus, we conclude that the petrol cost for the trip is 4.36 dollars.

If you want to learn more about costs:

https://brainly.com/question/19104371

#SPJ1

describe the apparent relationship between the two variables under consideration. choose the correct choice below. a. test score remains constant as the number of study hours increases. b. test score tends to decrease as the number of study hours increases. c. test score tends to increase as the number of study hours increases. d. there is no apparent relationship between study hours and test score.

Answers

Based on the given information, the question is asking about the apparent relationship between two variables: study hours and test score. The correct answer is c.

Test score tends to increase as the number of study hours increases. This suggests a positive correlation between the two variables, meaning that as one variable (study hours) increases, the other variable (test score) also tends to increase.
The apparent relationship between the two variables under consideration, which are study hours and test score, can be described as follows:
Your answer: c. Test score tends to increase as the number of study hours increases.
This is because, generally, the more time a person spends studying, the better their understanding of the material, which often leads to a higher test score.

Visit here to learn more about variables:

brainly.com/question/17344045

#SPJ11

Create a set of at least 3 different fractions that totals 1. Write all fractions in simplest form. In simplest form, the fractions must have different denominators. (ex. + 1 1 1 3 1 2 + - = + = + = 6 6 6 2) Create a set of a least 3 fractions that has a total that is less than 1 but very close to 1. Write all fractions in simplest form. In simplest form, the fractions must have different denominators. The total is how much less than 12 3) Create a pair of fractions that has a product that is very close to 1. In simplest form, the fractions may not use any digit more than once. What is the difference between the product and 1?

Answers

1) Set of fractions that totals 1:

1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1

2) Set of fractions that is very close to 1 but less than 1:

1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8 = 7/8 (which is less than 1 by 1/8)

3) Pair of fractions with a product close to 1:

2/3 * 3/4 = 6/12 = 1/2 (the difference between the product and 1 is 1 - 1/2 = 1/2)

1) Set of fractions that totals 1:

1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6

                     = 6/6

                     = 1

In this set, we have fractions with different denominators that add up to 1. By finding the least common multiple (LCM) of the denominators, we can convert them to have the same denominator and then add them together. Simplifying the resulting fraction gives us a total of 1.

2) Set of fractions that is very close to 1 but less than 1:

1/2 + 1/4 + 1/8 = 4/8 + 2/8 + 1/8

                      = 7/8 (which is less than 1 by 1/8)

In this set, we again have fractions with different denominators, but their sum is less than 1. By adding the fractions together, we get a fraction that is close to 1 but not equal to it. This means that the sum is slightly less than 1.

3) Pair of fractions with a product close to 1:

2/3 * 3/4 = 6/12 = 1/2 (the difference between the product and 1 is 1 - 1/2 = 1/2)

Here, we need to find a pair of fractions whose product is close to 1. We need to ensure that the fractions use different digits and simplify them to their simplest form. By multiplying the two fractions together, we obtain a product that is close to 1. The difference between the product and 1 represents how close the product is to 1.

Learn more about Set of Fractions  at

brainly.com/question/28017537

#SPJ4

a scientist studying where American Indians once lived discovered 137 pots in the first location and 243 in the second how many more pots were found in the second location than in the first?

Answers

Answer:

106

Step-by-step explanation:

just subtract 243-137

Answer:

106

Step-by-step explanation:

243 - 137= 106

a gym employee is payed monthly. after working foe three months

Answers

Answer:

After working 3 months he should have been payed 3 times

Step-by-step explanation:

Because if he gets payed monthly and he worked for 3 months then he should get payed 3 times

Chicago, Illinois, has an elevation of 600 feet above sea level. The elevation of Desert Shores, California, is 800 feet less than the elevation of Chicago. Select all options that apply to Desert Shores. *

elevation of –200 feet
elevation of 200 feet
below sea level
at sea level
above sea level

Answers

Answer:

elevation of –200 feet  

below sea level

Step-by-step explanation

600-800=-200

What is the slope of the line that contains the points (-1,2) and (4, 3)?

Answers

Answer:

slope = \(\frac{1}{5}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (4, 3 )

m = \(\frac{3-2}{4-(-1)}\) = \(\frac{1}{4+1}\) = \(\frac{1}{5}\)

Consider a Markov chain with 5 states {0, 1, 2, 3, 4} and the onestep transition matrix P given by
P = 1/4 1/2 0 0 1/4
1/3 1/3 0 1/3 0
0 0 1 0 0
0 0 1/2 1/2 0
1 0 0 0 0
a) For each transient state in the state space, evaluate the expected time until the Markov chain first hits a recurrent state.
b) Find the general form of the stationary distribution for this chain.

Answers

In the given Markov chain with 5 states, we need to evaluate the expected time until the chain first hits a recurrent state for each transient state. Additionally, we need to find the general form of the stationary distribution for this chain.

a) To evaluate the expected time until the Markov chain first hits a recurrent state for each transient state, we can use the first-step analysis. In this case, the transient states are 1, 2, and 3. We can set up equations for each of these states based on the first-step analysis.

Let Ei denote the expected time until the chain first hits a recurrent state, starting from transient state i. Using the given transition matrix P, we can write the following equations:

E1 = 1 + (1/2)E2 + (1/4)E4

E2 = 1 + (1/3)E1 + (1/3)E2 + (1/3)E4

E3 = 1 + (1/2)E4

Solving these equations will give us the expected time until the Markov chain first hits a recurrent state for each transient state.

b) To find the general form of the stationary distribution for this chain, we need to solve the equation πP = π, where π represents the stationary distribution and P is the transition matrix.

Setting up the equation and solving for π, we get:

π[1/4, 1/2, 0, 0, 1/4] = π

simplifying the equation, we have:

(1/4)π0 + (1/2)π1 + (1/4)π4 = π0

(1/3)π0 + (1/3)π1 + (1/3)π4 = π1

π2 = π2

(1/2)π2 + (1/2)π3 = π3

π4 = π4

The general form of the stationary distribution is given by the solution to these equations, where the probabilities π0, π1, π2, π3, and π4 sum up to 1. Solving this system of equations will yield the specific values of the stationary distribution for this Markov chain.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ11

Find the value of b.

44°

Find the value of b.b44

Answers

Answer:

46

Step-by-step explanation:

nice to help you.that angle is a 90-degree angle - 44

Find the value of b.b44

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.

Answers

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

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

we have a and b

\(15^2+15^2=c^2\)

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

Answer:

Katie needs 6 crepe rolls.

Step-by-step explanation:

Hello!

Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.

There are a couple of steps in order to solve this.

Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!

The ceiling of Katies living room is a square that is 15 ft long on each side. To decorate for a party,

I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the intersection of Main Street and New Street.

I REALLY NEED HELP!!!! Determine how far the intersection of Oak Street and New Street will be from the

Answers

Answer:

2 = 3.5 0.=3.2

Step-by-step explanation:

hope it helps

The scatterplot below shows a plant height over time based on the graph what is the best prediction for the plant height after 10 weeks

The scatterplot below shows a plant height over time based on the graph what is the best prediction for

Answers

Answer:

7

Step-by-step explanation:

Question text Level and Trend in a Time Series is estimated by- Select one: a. Moving Average b. Simulation method c. Regression analysis d. Covariance analysis e. Correlation Analysis

Answers

(C) Regression analysis is the statistical method commonly used to estimate the level and trend in a time series by modeling the relationship between the data and independent variables.

Regression analysis is the statistical method used to estimate the level and trend in a time series. Time series data represents observations taken at different points in time and is commonly used to analyze trends and patterns over time.

Regression analysis allows us to model the relationship between a dependent variable (in this case, the time series data) and one or more independent variables (such as time or other relevant factors). By using regression analysis, we can identify the underlying trend in the time series and estimate its level.

The regression model captures the relationship between the dependent variable (the time series) and the independent variable(s) by fitting a line or curve that best represents the data. This line or curve helps to identify the overall trend and level of the time series.

While moving average, simulation method, covariance analysis, and correlation analysis are useful techniques in analyzing time series data, they are not specifically designed to estimate the level and trend in a time series. Therefore, (C) regression analysis is the most appropriate method for estimating the level and trend in a time series.

Learn more about Regression analysis here:

https://brainly.com/question/31860839

#SPJ11

Can anyone help mee!!!

Can anyone help mee!!!

Answers

Answer: I want to say 30 degrees you have to put the degree simble

Step-by-step explanation:

Answer: 30 degrees
Explanation: all of the angles added together in a triangle is equivalent to 180 degrees
180-130-20=30

I need help with this question

I need help with this question

Answers

The length of the legs of the right triangle are 2.83 units.

How to find the side of a right triangle?

A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the legs of the triangle can be found using trigonometric ratios.

Hence,

sin 45 = opposite / hypotenuse

sin 45 = a / 4

cross multiply

a = 4 × 0.70710678118

a = 2.83 units

Therefore,

cos 45 = b / 4

cross multiply

b = 0.70710678118 × 4

b = 2.82842712475

b = 2.83 units

Therefore, the legs are 2,83 units

learn more on right triangle here: https://brainly.com/question/29285631

#SPJ1

an online gardening magazine wants to understand why its subscriber numbers have been increasing. what kind of reports can a data analyst provide to help answer that questio

Answers

Reports that describe how many customers shared positive comments about the gardening magazine on social media in the past year. Reports that compare past weather patterns to the number of people asking gardening questions to their social media. Reports that examine how a recent 50%-off sale affected the number of subscription purchases. Reports that predict the success of sales leads to secure future subscribers.

What is data analyst?

In order to find relevant information, support inferences, and help decision-making, data analysis is the process of analyzing, cleaning, manipulating, and modeling data. A data analyst examines data to find significant consumer insights and potential uses for the information. They also advise the company's management and other stakeholders of this information. Although it is recommended that data analysts have a basic understanding of statistics and mathematics, many of their tasks may be completed without it. However, data analysts often need to be familiar with statistics, linear algebra, and calculus.

To know more about data analyst,

https://brainly.com/question/28893491

#SPJ4

(-12 + 3 ) + 4 = -12 + (3 + 4)

Answers

Answer:

yes

Step-by-step explanation:

(-12+3)+4 = -12+(3+4)

-9+4 = -12+7

-5 = -5

:)

A beaker has a mass of 129 g. What is the mass of this beaker in kilograms?

Answers

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

I'LL GIVE BRAINLIEST !!!!


The distance from two golf balls to the hole is 8 feet and 13 feet, respectively. If both balls are hit directly into the hole, the angle formed by their pathways is 64. Find the distance between the golf balls

Answers

The distance between the golf balls is determined to be 14 feet.

Let's call the distance between the two golf balls "d".

Using the law of cosines, we can find the value of d by using the angles and the two distances to the hole:

d² = 8² + 13² - 2 * 8 * 13 * cos(64)

d² = 64 + 169 - 104 * cos(64)

d² = 233 - 104 * cos(64)

Next, we'll use a calculator to find the value of cos(64):

cos(64) = 0.37

So,

d² = 233 - 104 * 0.37 = 233 - 38.48

d² = 194.52

Finally, we'll take the square root of both sides to find the value of d:

d = √(194.52) = 14.0

So the distance between the golf balls is 14 feet.

To know more on law of cosines

https://brainly.com/question/13098194

#SPJ4

Help me out please? For 10 points

Help me out please? For 10 points

Answers

The answer to your question is 200.96

3.14(8)^2 = 200.96

If you liked my answer, please go ahead and give me the brainliest so I can’t better help people in the future

\( \huge \mathfrak{\blue{Answer}} \\ \\ \: \rightarrow \: \: \tt \: Area \: = 200.96 \: inches {}^{2} \)

Step-by-step explanation:

Given :

π = 3.14 Radius (r) = 8 inches

Area of Circle = πr²

3.14 × (8)² 3.14 × 64 200.96 inches²

Find the distance between the points (7, -2) and (2, -10).

Answers

Answer:

\(\sqrt{89}\)

Step-by-step explanation:

d = \(\sqrt{(x_{1}-x_{2} )^{2} +(y_{1} -y_{2} )^{2} }\)

d = \(\sqrt{(7-2)^{2} +(-2+10)^{2} }\)

d = \(\sqrt{5^{2} +(-8)^{2} }\)

d = \(\sqrt{25+64}\)

d = \(\sqrt{89}\)

Find the box-and-visker plot representing the given data:44, 38, 21, 37, 48, 43, 28

Find the box-and-visker plot representing the given data:44, 38, 21, 37, 48, 43, 28

Answers

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Write the product in its simplest form

Write the product in its simplest form

Answers

Answer:

9u^8v^3

Step-by-step explanation:

Write the product in its simplest form
simplest form is 9u^5v^6

Laila took five math tests, each worth a maximum of 100100 points. Laila's score on each test was an integer between 00 and 100100, inclusive. Laila received the same score on the first four tests, and she received a higher score on the last test. Her average score on the five tests was 8282. How many values are possible for Laila's score on the last test

Answers

Laila's score on the last test could be any number between 83 and 94, inclusive, resulting in a total of 12 possible values.

Let's denote Laila's score on the first four tests as x. Since her average score on the five tests is 82, the sum of her scores on all five tests is 82 * 5 = 410. We can express this as x + x + x + x + y = 410, where y represents her score on the last test.

Simplifying the equation, we have 4x + y = 410. Since x and y must be integers, we need to find all possible integer solutions for this equation. Rearranging the equation, we have y = 410 - 4x.

To determine the possible values of y, we need to find the range of values for x. Since Laila's score on each test is an integer between 0 and 100, the value of x must be between 0 and 100. Substituting these limits into the equation, we get 410 - 4(100) ≤ y ≤ 410 - 4(0), which simplifies to 10 ≤ y ≤ 410.

However, we need to consider that Laila's score on the last test must be higher than her score on the previous four tests. This means that y must be greater than x. Considering this constraint, the possible values for y range from x + 1 to 410.

To find the number of possible values, we calculate the number of integers in this range. Since x can take values from 0 to 100, there are 100 possible values for x. Therefore, the number of possible values for y is the sum of integers from 1 to 100, which is given by the formula (100 * (100 + 1)) / 2 = 5050.

However, we need to exclude the cases where x = y, as Laila's score on the last test should be higher than the previous tests. Therefore, the final number of possible values for y is 5050 - 100 = 4950.

Learn more about possible values here:
https://brainly.com/question/30522331

#SPJ11

PLEASE HELP! I WILL GIVE BRAINIEST! Look at the figure below: A triangle ABC is drawn. D is a point on BC such that BD is equal to DC. A straight line joins points A and D. This line extend Based on the figure, which pair of triangles is congruent by the Side Angle Side Postulate? a Triangle ABD and triangle ECD b Triangle ABC and triangle ECD c Triangle ABD and triangle ADC d Triangle ADC and triangle ABC

PLEASE HELP! I WILL GIVE BRAINIEST! Look at the figure below: A triangle ABC is drawn. D is a point on

Answers

Answer:

ADB and ADC

Step-by-step explanation:

SAS is side angle side. so, which 2 triangles have same side, then angle, then side. We have to have it in that specific order.

Answer:

ABD and ECD

Step-by-step explanation:

EDC and ADB are vertical angles, so that is the angle we need for the SAS postulate. The markings on each of the corresponding sides is the same, which means we have 2 congruent sides, as well as an angle.

Parralel lines cut by a transversal coloring activity. Please give explanation. Will give brainiest.

Answers

Step-by-step explanation:

Parallel lines cut by a transversal coloring activity is an activity that helps students understand the pattern of angles when parallel lines are cut by a transversal. The activity involves coloring the angles formed by the parallel lines and the transversal in different colors. This helps students identify the different types of angles formed and their relationships with each other.

Parallel lines cut by a transversal is a topic in geometry where students learn about the angles formed by a transversal line that intersects two parallel lines. To make the learning process fun and engaging, teachers may use a coloring activity where students color different angles based on their measurements.

The activity typically involves a worksheet with several parallel lines intersected by a transversal line. The students are asked to identify the angles formed by the transversal and the parallel lines, such as corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles. Each type of angle is assigned a specific color, and the students color the angles accordingly.

For example, corresponding angles may be colored red, alternate interior angles blue, alternate exterior angles green, and consecutive interior angles yellow. The students use a color key to determine which angles to color, and once they have correctly identified and colored all the angles, they should have a colorful and visually appealing worksheet.

This type of coloring activity helps students to engage with the material and reinforces their understanding of the geometry concepts. It also provides a fun and creative way to learn, making the learning process more enjoyable and memorable.
Other Questions
Students set up an experiment to investigate whether or not a chemicalreaction has occurred when mixing an antacid tablet with water. The resultsare listed in the table. Which is not evidence that a chemical reaction hasoccurred? * Please help me! :( I will do anything! pls help and show work I didnt understand, though I wanted to. Ask any survivor and you will hear the same thing: above all, we tried to understand. Why all these deaths? What was the point of this death factory? How to account for the demented mind that devised this black hole of history called Birkenau? Perhaps there was nothing to understand. Based on the excerpt, the author would most likely agree that the rationale for the Holocaust will always be incomprehensible. History is likely to repeat itself if past events remain unresolved. There have been few mentally competent leaders throughout history. Understanding the past enabled him to move on with his life. PLS HELP!! What was the purpose of the Marshall Plan? Explain how positive and negative externalities causeunderallocationsand overallocations of resources. a student is struggling in their anatomy and physiology class. select all that would help them improve retention of the material. explain the concept of gaseous exchange in humans An insurance company is domiciled in Montana and transacts insurance in Wyoming. Which term best describes the insurers classification in Wyoming? What is a number that whenyou subtract 12 and then dividethe difference by 3 will equal 6? If an airplane traveled 1800 km in 2 hours what is its average speed what step in the strategic development process involves mobilizing employees and managers to put strategies into action? A student uses a plumb bob to verify that the doorjamb in a car is vertical. As the car pulls away from a stop, the studentobserves that the string now makes an angle 8 with the doorjamb. What is the acceleration of the car?Select one:O a. g tan iO b. g,O c. g sin iO d. I.O e. gcos i, Study island 7th grade ou are testing a new car using crash test dummies. consider two ways to slow the car from 90 km/h (56 mi/h) to a complete stop: (i) you let the car slam into a wall, bringing it to a sudden stop. (ii) you let the car plow into a giant tub of gelatin so that it comes to a gradual halt. in which case is there a greater impulse of the net force on the car? What type of metalwork sculpture is pictured below?A round metal bowl with classical human and animal carvings around it. What pro football hall of famer, known for making the iconic "immaculate reception," died this week at age 72?a. Lynn Swannb. Franco Harrisc. Earl Campbell The school used nine busses, each filled with the same number of students, to go on a class field trip Eight students arrived separately by car. If n represents the number of students per bus an expression that represents the total number of students Write 10 sentences on how did u spent your summer holidays. I need for grade 1 please help An average person may lose what maximum quantity of bloodwithout suffering adverse affects?