Question 3 (1 point) Suppose f'() = 8x3 + 12x + 2 and f(1) = -4. Then f(-1) equals . (Enter a number for your answer) D View hint for Question 3

Answers

Answer 1

The answer to  f(-1)  is (-8) . Given f'(x) = 8x³ + 12x + 2, we can find f(x) by integrating f'(x) with respect to x. Integrating the given function, we get:

f(x) = 2x⁴ + 6x² + 2x + C, where C is the constant of integration. To find C, we can use the given initial condition f(1) = -4:

-4 = 2(1)⁴ + 6(1)² + 2(1) + C

-4 = 2 + 6 + 2 + C

C = -14

So, the complete expression for f(x) is:

f(x) = 2x⁴ + 6x² + 2x - 14

To find f(-1), we substitute x = -1 in the above expression:

f(-1) = 2(-1)⁴ + 6(-1)²+ 2(-1) - 14

f(-1) = 2 + 6 - 2 - 14

f(-1) = -8. Therefore, f(-1) equals -8.

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Related Questions

domain and range: identify the domain and range of the function.​

domain and range: identify the domain and range of the function.

Answers

Answer:

domain = 0,1,2,3

range= 5,7,15,44

an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella

Answers

Answer:

Area = 121pi/12

~= 31.66 sq units

Step-by-step explanation:

They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.

Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.

Area of a circle is

A = pi × r^2

Area of one slice is 1/12 of the whole.

A(1 slice)

= 1/12× pi × r^2

See image.

an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,then what would

NEED HELP ASAP PLEASE AND THANK YOU!!!

NEED HELP ASAP PLEASE AND THANK YOU!!!

Answers

1. there is one solution
2. the solution is (3, 5)

In an online feedback comment section, the probability that a comment is positive is 10% (independent of any other comments already present). If there are 10 comments, what is the probability that at least 2 of the comments are positive?

Answers

To find the probability that at least 2 of the comments are positive, we can use the concept of complementary probability. We'll find the probability that fewer than 2 comments are positive and then subtract it from 1 to get the desired probability.

Let's consider the following scenarios:

1. No comments are positive (all 10 comments are negative).

2. Exactly 1 comment is positive.

Let's calculate the probability of each scenario:

1. Probability of no comments being positive:

P(No positive comments) = (0.9)^10 = 0.3487 (rounded to four decimal places)

2. Probability of exactly 1 comment being positive:

P(Exactly 1 positive comment) = 10 * (0.1)^1 * (0.9)^9 ≈ 0.3874 (rounded to four decimal places)

To find the probability that at least 2 comments are positive, we subtract the sum of the above probabilities from 1:

P(At least 2 positive comments) = 1 - P(No positive comments) - P(Exactly 1 positive comment)

                             = 1 - 0.3487 - 0.3874

                             ≈ 0.2639 (rounded to four decimal places)

Therefore, the probability that at least 2 of the comments are positive is approximately 0.2639 or 26.39%

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(Multiple choice/ brainiest will be given)
Can I please get some help with this answer?

(Multiple choice/ brainiest will be given)Can I please get some help with this answer?

Answers

Answer: d

Step-by-step explanation:

A pizza parlor charges $8 per pizza plus $0.65 per topping. Which equation can be used to find the cost of a pizza that costs $11.25?
Group of answer choices
8x+0.65=11.25
8+0.65x=11.25
8-0.65x=11.25
8x-0.65=11.25

Answers

It would be 3! Have a good DAY

3x + (-9x) + 12 + 8

Answers

(3x−9x)+(12+8)
Answer

−6x+20

Answer:

Stop being lazy

Do write the complete question.

The Ques is 3x-9x+12+8=0. Then find x

It's x=20/6=10/3

please solve and explain fir 15 poitns

please solve and explain fir 15 poitns

Answers

They look yo be all functions due to them not intersecting one another

How do you find the angles of a 5/12/13 triangle?

Answers

The angles of a triangle with side lengths 5 , 12 and 13 are 90°, 22.63°, 67.38°.

What is Law of cosines formula?

In trigonometry, the law of cosines, also known as the law of cosines or cosine formula, basically relates the length of a triangle to one cosine of its angle. It states that if we know the lengths of two sides of a triangle and the angle between them, we can determine the length of the third side. c² = a²+ b² – 2ab cosγ

where a, b, c are the sides of the triangle and γ is the angle between a and b, see image above.

To find the length of a side of a triangle, take △ABC according to the cosine formula, which can be written as follows.

a² = b²+ c²– 2bc cos αb²= a² + c²– 2ac cos βc²= b² + a² – 2ba cos γ

We have , a = 5 , b = 12 , c= 13

cos α =( 12² + 13² - 5² )/2×12×13= 288/312

=> α = cos⁻¹(0.923 ) = 22.63°

cos β = (5² + 13² - 12² )/2×13×5 = 50/130

=> β = cos⁻¹(5/13) = 67.38°

cos γ = (12² + 5² - 13² )/2×12×5= 0

=> γ = cos⁻¹(0) = 90°

Hence, the required angles are 90°, 22.63°, 67.38°.

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How do you find the angles of a 5/12/13 triangle?

Work out m and c for the line: y=3x

Answers

Answer:

m = 3, c = 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x , or y = 3x + 0 ← is in slope- intercept form

with m = 3 and c = 0

what is 8/3y=5/6x-2 in standard form?

Answers

Answer:

Y=5/16x -3/4

Step-by-step explanation:

3/8 * 8/3y=(5/6x -2) *3/8

y=5/16x - 3/4

The standard form of the equation is  5x -16y = 2.

It is required to find the standard form.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

According to given question we have,

The least common multiple of the fraction denominators is 6. Multiplying by that gives

 16y = 5x -2

We can put this in standard form by adding 2-16y to both sides.

 5x -16y = 2

Therefore, the standard form of the equation is  5x -16y = 2.

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Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exams?

Answers

Answer:  You would need a score of 96 on your last exam.

Step-by-step explanation:

If you take the 90 average and multiply it by 4, you get 360.  If you add your first 3 exam grades and subtract them from 360, then you get 96 as your final score.  To check your work, add the 4 exam scores and find the average.  The average is 90.

(Pls mark me brainliest)  Thanks!

Have a great day!

Answer:

96

Step-by-step explanation:

The average of a set of data can be found by taking the sum of the values in the data divided by the number of values.

\(\boxed{\text{Average of 4 exams}= \frac{\text{Total score of 4 exams}}{4}}}\)

Let the score of the next exam be x.

\(90=\frac{x+80+93+91}{4}\)

Multiply both sides by 4:

360= x +264

Subtract both sides by 264:

x= 360 -264

x= 96

Thus, a grade of 96 is needed on the next exam.

Supplementary:

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1/3 bigger than 5/9?

Answers

Answer:

No 1/3 is not greater than 5/9.

Step-by-step explanation:

(09.06)
For two functions, f(x) and g(x), a statement is made that f(x) = g(x) at
x = 5. What is definitely true about x = 5? (2 points)
Both f(x) and g(x) cross the x-axis at 5.
O Both f(x) and g(x) cross the y-axis at 5.
Both f(x) and g(x) have a maximum or minimum value at x = 5.
Both f(x) and g(x) have the same output value at x = 5.

Answers

Answer:

Both f(x) and g(x) have the same output value at x = 5

Step-by-step explanation:

When we are writing a function, while x gives the input value, writings like f(x), g(x) or h(x) will represent the output values of the input value of x

Now, looking at the relation, we are told that the value of f(x) = g(x) at x = 5

What this mean is that at x = 5; the output value of g(x) is the same as the output value of f(x)

Hence, we can conclude that both functions have the same output value at the given input value of x = 5

Answer:

D) Both f(x) and g(x) have the same output value at x = 5.

Step-by-step explanation:

I got it right on the test.

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

I have no idea how to do this, pls help. Question in the picture. Please show your work. Thanks!

Answers

Answer:

C

Step-by-step explanation:

This is a stem and leaf plot. If you don't know what a stem and leaf plot is, try searching it before coming back and viewing the solution. I also see an "example" button. It might help to hit that too.

First, we sort the list of numbers. Here is what we get:

64, 66, 67, 68, 69, 74, 75, 76, 78, 79

Here, the stems are the tens digits and the leaves are the ones digits.

Therefore, for the stem 6, the leaves are:

4, 6, 7, 8, 9

For the stem 7, the leaves are:

4, 5, 6, 8, 9

The answer, I believe, is C

What is the largest factor that all even numbers have in common?

Answers

Answer: 2

Explanation: You can divide any even number, from 2 to 9,999,992, by the number 2.

Ann traveled 47.8 miles each day for the past 7 days. How many miles did she travel in all?

Answers

Since the problem says she traveled 47.8 miles each day it looks like all you need to do it multiply 47.8 by 7 since she traveled the miles for 7 days. 47.8x7=334.6

Answer:

334.6 miles

Step-by-step explanation:

Do either

47.8 x 7 = 334.6

or

47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 = 334.6

A certain animated movie earned 81. 1 x 10^9 in revenue at the box office the movie lasts 9. 1 x 10^1 minutes. How much revenue was earned per minute of the movie?

Answers

The revenue earned per minute of the movie is approximately $8.9 x 10^7.

To calculate the revenue earned per minute of the movie, we need to divide the total revenue by the duration of the movie in minutes.

Revenue earned per minute = Total revenue / Duration of the movie

Total revenue = $81.1 x 10^9

Duration of the movie = 9.1 x 10^1 minutes

Revenue earned per minute = ($81.1 x 10^9) / (9.1 x 10^1)

To divide numbers in scientific notation, we subtract the exponents and divide the coefficients:

Revenue earned per minute = $81.1 x 10^(9-1) / 9.1

Simplifying the exponent:

Revenue earned per minute = $81.1 x 10^8 / 9.1

Dividing the coefficients:

Revenue earned per minute ≈ $8.9 x 10^7

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What kind of polynomial is 3x²?

Answers

3x² is a second-degree polynomial, also known as a quadratic equation.

A polynomial is a mathematical expression that consists of constants, variables, and exponents. This polynomial can be represented as an equation in the form of ax^2 + bx + c, where a, b, and c are constants, and x is an unknown. In this case, a = 3, b = 0, and c = 0. In this case, the polynomial is 3x², which contains one constant (3) and one variable (x) with an exponent of 2. To calculate the value of this polynomial, we can substitute a value for x and then solve. For example, if x=2, then 3x² = 3x2 = 3(2)2 = 3(4) = 12.

Therefore, when x=2, 3x² = 12.

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If it costs $300 to tile a 420 square foot room, how much will it cost to tile a
room with 1,050 square feet?

Answers

Answer:

750$

Step-by-step explanation:

\(Amount= 300*\frac{1050}{420} =750\)

It will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

To find out how much it will cost to tile a room with 1,050 square feet, we can set up a proportion using the given information.

Cost₁: The cost to tile the first room with an area of 420 square feet, which is $300.

Area₁: The area of the first room, which is 420 square feet.

Cost₂: The cost to tile the second room with an unknown area, which we want to find.

Area₂: The area of the second room, which is 1,050 square feet.

We can set up the proportion:

Cost₁ / Area₁ = Cost₂ / Area₂

Substituting the known values:

$300 / 420 sq ft = Cost₂ / 1,050 sq ft

Now we can solve for Cost₂:

Cost₂ = ($300 / 420 sq ft) * 1,050 sq ft

Calculating:

Cost₂ = $0.7143 * 1,050 sq ft

Cost₂ ≈ $750.01

Therefore, it will cost approximately $750.01 to tile a room with an area of 1,050 square feet.

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6 cm
6 cm
18 cm
9.5 cm
3cm
11cm
9cm
6cm

Answers

Answer:   68.5

Step-by-step explanation:

6 cm + 6 cm + 18 cm+ 9.5cm + 3cm + 11cm+ 9cm+ 6cm= 68.5

~Hope this helps ;0~

Write the expression c · d · c · c · d · b · c · d · d · b · d · d · d · d using exponents. Write the variables in alphabetical order.

Answers

Answer:

b^2 * c^4 * d^6

Step-by-step explanation:

i think this is right

Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation

Answers

Answer:

It would take 6 hours.

An equation for that could be: 50x = 300 (X is how long it would take)

So 50 mph• X (time spent) = 300 miles

You didn't give me any scatterplots to look at so I can't help you with that sorry

A die is rolled and a coin is flipped simultaneously. the number rolled on the die and whether the coin lands heads or tails is recorded. how many outcomes are in the sample space? 8 6 10 12

Answers

Answer: 12

Step-by-step explanation:

how much must be deposited at the beginning of every six months in an account that pays 6% compounded semi-annually so that the account will contain 35,000 at the end of five years the semi-annual payments are___?round to 2 decimal places

Answers

In order to determine the initial investment, use the following formula for the composed interest:

\(I=P(1+\frac{r}{n})^{nt}\)

where:

P: initial investment = ?

r: interest rate = 6% = 0.06

n: number of times per time period = 6

t: time period = 5 x 2 = 10

I: final account = 35,000

replace the previous values of the parameters and solve for P, as follow:

\(\begin{gathered} 35000=P(1+0.06/6)^{6\cdot10}=P\cdot1.816 \\ P=35000/1.816 \\ P=19273.13 \end{gathered}\)

Hence, the initial investment was 19,273.13

Answer the following 6 questions in full on paper. Then upload them for grading by your teacher. Note that you will be graded not only on the accuracy of your final answer, but also on the methods you use to reach the answer, so be sure to show all of your work and explain your reasoning carefully. (Don't just copy the answer from a calculator or a computer algebra system!) 1. List the first 9 terms of the sequence defined recursively by Sn = $n-2 (Sn-1-1), with s₁ = 2 and $₂=3 2. Compute the value of 1 $. where s, is the same sequence as in the previous question. I 3. Is the sequence from question 1 arithmetic, geometric, or neither? Explain how you reach your conclusion. 4. Find the sum of the first 200 terms of the arithmetic sequence that begins: 12, 18, 24... 5. Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27....

Answers

1. The first 9 terms of the sequence are: 2, 3, -1, 8, -9, 26, -43, 96, -181.

3. Based on the differences between consecutive terms, we observe that they are not constant, indicating that the sequence is neither arithmetic nor geometric.

4. The sum of the first 200 terms of the arithmetic sequence is 121,800.

5. The sum of the first 8 terms of the geometric sequence is 18.

1. To find the terms of the sequence, we can use the given recursive formula and initial values:

s₁ = 2

s₂ = 3

sₙ = n - 2(sₙ₋₁ - 1)

Using these values and the recursive formula, we can calculate the first 9 terms:

s₃ = 3 - 2(s₂ - 1) = 3 - 2(3 - 1) = 3 - 2(2) = 3 - 4 = -1

s₄ = 4 - 2(s₃ - 1) = 4 - 2(-1 - 1) = 4 - 2(-2) = 4 + 4 = 8

s₅ = 5 - 2(s₄ - 1) = 5 - 2(8 - 1) = 5 - 2(7) = 5 - 14 = -9

s₆ = 6 - 2(s₅ - 1) = 6 - 2(-9 - 1) = 6 - 2(-10) = 6 + 20 = 26

s₇ = 7 - 2(s₆ - 1) = 7 - 2(26 - 1) = 7 - 2(25) = 7 - 50 = -43

s₈ = 8 - 2(s₇ - 1) = 8 - 2(-43 - 1) = 8 - 2(-44) = 8 + 88 = 96

s₉ = 9 - 2(s₈ - 1) = 9 - 2(96 - 1) = 9 - 2(95) = 9 - 190 = -181

Therefore, the first 9 terms of the sequence are: 2, 3, -1, 8, -9, 26, -43, 96, -181.

2. To compute the value of 1 $, we need to substitute n = 1 into the recursive formula:

s₁ = 1 - 2(s₀ - 1)

Since s₀ is not given in the question, we need additional information or assumptions about its value to proceed with the calculation. Please provide the value or any additional information about s₀ for a more accurate calculation.

3. To determine whether the sequence from question 1 is arithmetic, geometric, or neither, we need to examine the differences between consecutive terms.

The given recursive formula does not explicitly indicate an arithmetic or geometric relationship. However, we can calculate the differences between consecutive terms to identify any patterns:

Difference between s₂ and s₁: 3 - 2 = 1

Difference between s₃ and s₂: (-1) - 3 = -4

Difference between s₄ and s₃: 8 - (-1) = 9

Difference between s₅ and s₄: (-9) - 8 = -17

Difference between s₆ and s₅: 26 - (-9) = 35

Difference between s₇ and s₆: (-43) - 26 = -69

Difference between s₈ and s₇: 96 - (-43) = 139

Difference between s₉ and s₈: (-181) - 96 = -277

Based on the differences between consecutive terms, we observe that they are not constant, indicating that the sequence is neither arithmetic nor geometric.

4. To find the sum of an arithmetic sequence, we can use the formula: Sn = (n/2)(2a + (n - 1)d), where Sn is the sum of the first n terms, a is the first term, and d is the common difference.

First term (a) = 12

Common difference (d) = 6 (obtained by subtracting the first term from the second term)

We need to find the sum of the first 200 terms (n = 200). Substituting these values into the formula, we get:

S200 = (200/2)(2(12) + (200 - 1)(6))

    = 100(24 + 199(6))

    = 100(24 + 1194)

    = 100(1218)

    = 121,800

Therefore, the sum of the first 200 terms of the arithmetic sequence is 121,800.

5. To find the sum of a geometric sequence, we can use the formula: Sn = a(1 - rⁿ) / (1 - r), where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

First term (a) = 12

Common ratio (r) = 18/12 = 3/2 (obtained by dividing the second term by the first term)

We need to find the sum of the first 8 terms (n = 8). Substituting these values into the formula, we get:

S8 = 12(1 - (3/2)⁸) / (1 - (3/2))

  = 12(1 - (6561/256)) / (1/2)

  = 12(1 - 6561/256) / (1/2)

  = 12(1 - 81/4) / (1/2)

  = 12(1 - 20.25) / (1/2)

  = 12(0.75) / (1/2)

  = 9 / (1/2)

  = 9 * 2

  = 18

Therefore, the sum of the first 8 terms of the geometric sequence is 18.

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an international calling plan charges 45 cent per minute or a fraction of a minute for each call. which graph models the cost, y, in cents of making x minutes of international calls?

Answers

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

We have,

The graph that models the cost, y, in cents of making x minutes of international calls would be a linear graph, as the cost is directly proportional to the number of minutes.

The equation of the linear graph would be:

y = 45x

Here, y represents the cost in cents, and x represents the number of minutes.

Therefore,

The correct graph would be a straight line with a slope of 45 and passing through the origin (0, 0).

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A lifeguard recorded the daily average temperature in degrees Fahrenheit and the number of swimmers at the pool each day for 29 days. The scatterplot displays the data.

Complete the correct answers from each drop down menu to complete the statements.

As the x-values increase, the y-values decrease or increase?
This represents a negative or positive? linear or nonlinear? association between the daily average temperature and the number of swimmers at the pool. ​

A lifeguard recorded the daily average temperature in degrees Fahrenheit and the number of swimmers at

Answers

For the given graph, As the x-values increase, the y-values also increase. This represent a positive graph. It is nonlinear function graph.

What is graph?

In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty). In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

Here,

For the given graph, As the x-values increase, the y-values also increase.

This represent a positive graph.

It is nonlinear function graph.

As the x-values rise for the presented graph, the y-values rise as well. This graph shows a favorable trend. It is a graph of a nonlinear function.

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Solve for the value of s.

Solve for the value of s.

Answers

Answer:

6s+2=4s-2

-4s -4s

2s+2=-2

-2 -2

2s=0

/2 /2

s=undefined or x=0

the sample space contains 5 as and 7 bs. what is the probability that a randomly selected set of 2 will in- clude 1 a and 1 b?

Answers

the probability that a randomly selected set of 2 will include 1 a and 1 b is 35/66

What is probability?

The probability is equal to the variety of possible outcomes. the total number of outcomes that could occur. For instance, there is only one way to get a head and there are a total of two possible outcomes, so the probability of flipping a coin and getting heads is 1 in 2. Writing P(heads) = 12

What are the 4 types of probability?

Classical

Empirical

Subjective.

Axiomatic

There are 66 equally likely outcomes, or C(5+7,2) =C(12,2)=66 possible outcomes. Only C(5,1)*C(7,1)=35 of these contain 1A and 1B. thus, the likelihood is 35/66.

The value of the solution is 35/66

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PLEASE HELP, I AM BEING TIMED!!Assume line M and N are parallel lines cut by transversal L. Find the value of X.Options: A: X= -0.2 B: X=1.2 C: X=2 D: X=18.2 Consider the following lease Term: 5 years Payments: annual at year end Year-1 rent: $52 per square foot per year Rent escalation: After the first year, rent payments are indexed to CPI Assuming a discount rate of 11%, what is the effective annual rent associated with this lease if you believe CPI will increase by 1% per year forever. an ancient tower that is 187 feet tall casts a shadow that is 278 feet long. what is the angle of depression that the sun makes with the ground to create the shadow? Tom had an average of 74 runs in 3 matches. if he scored 42 and 31 runs in two resent matches, what is his new average? write an equation of the line in slope intercept form if beginning-of-period common equity is $200,000 and end-of-period common equity is $300,000, the sustainable growth rate is: FREE BRAINLIEST!: (n+2) to the power of 2 - 5a + 1 when n=6 and a=2PLEASE SHOW HOW YOU GOT YOUR ANSWER! Please help tyyPart CIn the space provided, justify your ranking from part B of this task. Briefly make an argument for why you think one cause had a bigger impact than the other causes. You answer should be about 100 to 150 words long and include evidence to support your argument. The evidence can come from the lessons in this unit or from outside sources. Be sure to list the sources that you used to support your answer.(Use the text i wrote to justify it: The major European nations contended for overseas territories for many years before to World War I, making imperialism the most significant factor. This rivalry occasionally threatened to turn violent. The next topic is militarism, which was widespread throughout Europe during the 1800s and early 1900s, particularly in Germany and Britain. Many nations invested a significant amount of money in their militaries and military equipment. The alliance system is third in order, and the reason I know is because numerous nations signed agreements pledging to support one another in conflict or to confirm their neutrality. Nationalism is the least significant since, despite uniting people in an area and establishing nation-states, nationalism also stoked conflicts and rivalries between nations. One conflict between France and Germany. Of course, these were not as serious as imperialism because tension is not nearly as serious as battling with other nations for overseas territories.) 15) Very importantly, a hydraulic press can multiplyA) forces.B) pressures.C) energyD) all of the aboveE) none of the above a group of students prepare for a robotic competition and build a robot that can launch large spheres of mass m in the horizontal direction with a variable speed and from a variable vertical position and a fixed horizontal position x Determine the molarity of a solution formed by dissolving 4. 00 moles of kbr in enough water to yield 3. 00 l of solution. Helloo :) I was wondering if you could help me figure this out? A diffraction-limited lens can focus light to a 10- m-diameter spot on a screen. Do the following actions make the spot diameter larger, smaller, or leave it unchanged? a. Decreasing the wavelength of light: b. Decreasing the lens diameter c. Decreasing the focal length: d. Decreasing the lens-to-screen distance: Consider a two agent (agent A and agent B) two good (good x4 and good xz) pure exchange economy. 1 x Suppose preferences for the two agents are U4 = 2x + x^ and UB = x + 2x. Each agent is endowment with an equal amount of each good ex = e = e = e = 5. (3.1.A) For this economy, draw an Edgeworth box diagram with the following: (a) initial endowment, (b) set of Pareto efficient allocations, and (c) core of the economy. if an animal is born with black fur but never had a black phenotype, would it be a mutation?? 55 divided by 26 pls help its a blooket How does the description of the people at the park develop the theme of the passage? what can happen if a person under 21 is car drinking by a law enforcement officer? 151.why did carton encourage dr. manette to continue his efforts to free charles? what does this say about carton? Assume you are using a significance level of a 0.05) to test the claim that < 13 and that your sample is a random sample of 41 values. Find the probability of making a type II error (failing to reject a false null hypothesis), given that the population actually has a normal distribution with -8 and 7J B = |