1. Determine the three-dimensional figure that will be created using the following nets.

Answer:

[tex]\displaystyle \int {x \ln x} \, dx = \frac{x^2}{2} \bigg( \ln(x) - \frac{1}{2} \bigg) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration by Parts:                                                                                              [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {x \ln x} \, dx[/tex]

Step 2: Integrate Pt. 1

Identify variables for integration by parts using LIPET.

Step 3: Integrate Pt. 2

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Answer:

.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.

Step-by-step explanation:

Check the picture below.

[tex]\stackrel{ \textit{\LARGE S} }{\cfrac{8}{4}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{12}{6}}~~ = ~~\stackrel{ \textit{\LARGE S} }{\cfrac{4}{2}}\implies \text{\LARGE 2}\qquad \textit{similar triangles by SSS}[/tex]

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

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Answer:

The chi-square goodness-of-fit test is best used with categorical variables.  The trees in the forest are not categorical variables but numerical.

Step-by-step explanation:

The chi-square goodness-of-fit test determines whether the distribution of cases in a single categorical variable follows a known distribution.  The chi-square goodness-of-fit test data deal with data frequencies, levels, or counts of cases rather than percentages or other data transformations. Lastly, the categories of the variables are mutually exclusive because they assume the form of either or.

Answer:

A chi-square goodness-of-fit test would be used to show that the entire distribution of trees in the forest is different than what the forester reported, not necessarily the individual proportion representing the spruce trees.

Step-by-step explanation:

   The answer is the explanation. Got it from CollegeBoard.org

Answer: Equation: 2n+7=25 Number: n=9

Step-by-step explanation: Twice a number is 2 × n= 2n. 7 more is +7. Hence we get 2n+7=25. Subtract 7 from both sides then divide by 2 and we get 9!

Answer:

9

Step-by-step explanation:

Work backwards

25 - 7 = 18

18 ÷ 2 = 9

You can solve the problem normally to check.

9 × 2 = 18

18 + 7 = 25

That proves that the answer is right. Hope this helps you! Let me know how you did!

Answer:

The smallest sample size that we should consider is 68.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Standard deviation of 10 minutes.

This means that [tex]\mu = 10[/tex]

What is the smallest sample size that we should consider?

This is n for which M = 2. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]2 = 1.645\frac{10}{\sqrt{n}}[/tex]

[tex]2\sqrt{n} = 1.645*10[/tex]

[tex]\sqrt{n} = 1.645*5[/tex]

[tex](\sqrt{n})^2 = (1.645*5)^2[/tex]

[tex]n = 67.7[/tex]

Rounding up:

The smallest sample size that we should consider is 68.

Answer:

$14

Step-by-step explanation:

Answer:

Is there options because this question not that in depth  

Step-by-step explanation:

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

9514 1404 393

Answer:

  0

Step-by-step explanation:

The two expressions for her salary can be equated:

  2h +4 = 4 +4h

  0 = 2h . . . . . . . . subtract 2h+4 from both sides

  h = 0 . . . the husband's salary is zero dollars per month

Answer:

$2000

Step-by-step explanation:

Answer:

486 square inches

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Answer:

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x"  , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7  (  número menor )

x + 1  = 7 + 1

x + 1 = 8 ( número mayor )

Answer:

All of the figures have 4 sides  and 4  vertices

They have opposite sides parallel and congruent.

They have four right angles.

They also have perpendicular line segments.

Step-by-step explanation:

Hope this helps!!!

Answer:

We need the triangle, please

Explanation:

Can't find anything about a triangle without the triangle

Answer:

0

Step-by-step explanation:

Sin(undefined) reports 0.

If the value is not undefined, please provide the triangle.

Answer:

the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Step-by-step explanation:

The computation of the expected value and the standard deviation of the sample mean is shown below:

The mean is 70

And, the standard deviation is

= 20 ÷ √49

= 20 ÷ 7

= 2.86

Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively

Answer:

Steps:

Answer:

0.0748 = 7.48% probability that he is guilty

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests indicates guilty

Event B: Person is guilty

Probability that the test indicates that the person is guilty:

4/5 = 0.8 of 1/100 = 0.01(person is guilty)

1 - 0.9 = 0.1 of 1 - 0.99(person is not guilty). So

[tex]P(A) = 0.8*0.01 + 0.1*0.99 = 0.107[/tex]

Test indicates guilty and the person is guilty;

0.01 of 0.8. So

[tex]P(A \cap B) = 0.01*0.8 = 0.008[/tex]

What is the probability that he is guilty?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.008}{0.107} = 0.0748[/tex]

0.0748 = 7.48% probability that he is guilty

The required value is [tex]\simeq0.925 \ or \ 92.5[/tex]%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]T_G[/tex] and [tex]T_I[/tex] denote the test result being guilty or innocent respectively.

And, [tex]G[/tex] and [tex]I[/tex] denote that the person is guilty or innocent respectively.

Given that: [tex]P\left ( T_G\mid I \right )=\frac{4}{5}[/tex]

[tex]P\left ( T_I\mid I \right )=\frac{9}{10}\Rightarrow P\left ( T_G\mid I \right )=1-\frac{9}{10}=\frac{1}{10}[/tex]

[tex]P(G)=\frac{1}{100} \\ \therefore P(I)=1-P(G) \\ =1-\frac{1}{100} \\ =\frac{99}{100}[/tex]

Now, the required probability is,

[tex]P(I\mid T_G)=\frac{P\left ( T_G\mid I \right )\times P(I)}{P(T_G\mid I)\times P(I)+P\left ( T_G\mid G \right )\times P(G)}[/tex]

              [tex]=\frac{\frac{1}{10}\times\frac{99}{100}}{\left ( \frac{1}{10}\times \frac{99}{100}\right )+\left ( \frac{4}{5}\times\frac{1}{100} \right )} \\ =\frac{0.099}{0.099+0.008} \\ =\frac{0.099}{0.107} \\ =0.92523 \\ \simeq 0.925 \\ or \ 92.5%[/tex]

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Answer:

[tex] x = 5 \pm \sqrt{7} [/tex]

Step-by-step explanation:

x^2 - 10x + 14 = -4

Subtract 14 from both sides.

x^2 - 10x = -18

To complete the square, add the square of half of the x-term's coefficient.

x-term coefficient: -10

half of it: -5

squared: (-5)^2 = 25

Add 25 to both sides.

x^2 - 10x + 25 = -18 + 25

(x - 5)^2 = 7

Take square root of both sides. Be careful to include ± on the right side.

[tex] x - 5 = \pm \sqrt{7} [/tex]

Add 5 to both sides.

[tex] x = 5 \pm \sqrt{7} [/tex]

Answer:

π cm

Step-by-step explanation:

The formula for arc length (s) as a function of radius (r) and central angle Ф (in radians) is s = rФ.

In this problem r = 3 cm and Ф = 60°, and so the arc length subtended is

s = (3 cm)(π/3) = π cm

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

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Answer:

the answer is B)

Step-by-step explanation:

edg2021 :>

Answer:

ABE bc its the same degree angle

Step-by-step explanation:

Answer:

C) angle BEF

Step-by-step explanation:

Vertical angles are angles opposite each other where two lines cross. BEF is opposite of DEH

Answer:

x^8 y^8

did you mean (x^4 y^3 y)2 or just (x4y3y)2

Sorry did you submitted it yet?

If the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of xmyn is, x⁸y⁸.

It is defined as the combination of constants and variables with mathematical operators.

It is given that the expression is,

(x⁴y³y)²

Keep the base constant and add the exponents when multiplying similar bases. Maintaining the same base while multiplying the exponents will raise a base with power to another power. When dividing two bases with similar exponents, keep the exponents of the numerator and denominator constant.

We have to represent the given expression in the form of [tex]\rm x^m y^n[/tex].

We use the expression identity as,

[tex]x^m \times x^n = x^{m+n}[/tex]

[tex]\rm = (x^m)^n \\\\ = x^{mn}[/tex]

=(x⁴y³y)²

First, solve the term present in the bracket as,

=(x⁴y⁴)²

Open the bracket we get,

=(x⁴)²(y⁴)²

=x⁸y⁸

Thus, if the given expression is (x⁴y³y)², the expression equivalent to the given expression in form of  [tex]\rm x^m y^n[/tex] is, x⁸y⁸.

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Answer:

4 cm

Step-by-step explanation:

Perimeter = 18cm

θ = 2.5 radian

s = rθ, s = Arc length

Perimeter of Sector, P = arc length, s + 2r

Perimeter = rθ + 2r

r = Radius

18cm = r(2.5) + 2r

18cm = 2.5r + 2r

18cm = 4.5r

r = 18 /4.5

r = 4