Pr. #5) Sketch the region of integration and write an equivalent double integral (or sum of double integrals) with the order of integration reversed. -1/2 pix f(x,y) dy dr + Les Sa, 2) dy des

Answer:

x = 40.5

Step-by-step explanation:

2/3 * 40.5 = 27

Answer:

81/2

Step-by-step explanation:

divide by 2/3rds on both sides and then there is your answer

have a great night!!!

Given:

A car is traveling on Michigan Street towards Ward Street.

Required:

We need to find the measure of the angle when the car plans to turn right onto Ward Street.

Explanation:

We need to find the angle x marked in the given diagram.

Michigan Street road and Pennsylvania street road are parallel.

The angles MNQ and PNQ are linear pairs.

The sum of the linear pair is 180 degrees.

Subtract 85 from both sides of the equation.

Final answer:

95 degrees angle measure the turn.

The final answer rounded to 5 decimal places is:`x = 0.57735`

A) Given trigonometric expression is;`sin (π/6) + cos (π/6)`

Using the trigonometric values of π/6 from the trigonometric table, we have:

sin π/6 = 1/2cos π/6 = √3/2.Substituting the trigonometric values into the given expression, we have:

sin π/6 + cos π/6= 1/2 + √3/2= (1 + √3)/2

Therefore, the value of `sin (π/6) + cos (π/6)` is `(1 + √3)/2`.

B) Now, coming to the next part, we need to find the side labeled x.

The value of the tangent of an angle is equal to the ratio of the opposite side and the adjacent side. Thus, we can write:tan θ = Opposite side/Adjacent side

We have the values of the angle and the adjacent side, using that, we can find the opposite side as follows:`

tan 30° = Opposite side/1`Opposite side = `tan 30°`Opposite side = `(1/√3)`

Therefore, the side labeled x is `(1/√3)`.

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Answer:

x=50

y=75

Step-by-step explanation:

The explanation is in the picture!

Answer:

x = 0

Step-by-step explanation:

AB + BC = AC

therefore

2x+8 + 2x+ 12 = 20

combine like terms

4x+ 20 = 20

Subtraction property of equality

4x + 20 - 20 = 20 - 20

4x = 0

Division property of equality

4x/4 = 0/4

x=0

Answer:

To find the tens and units digit of the product, we only need to focus on the last two digits of the product.

First, we multiply 8 x 6, which gives us 48. So the units digit is 8 and we carry-over the 4 to the tens digit.

Next, we multiply 7 x 6, which gives us 42. We add the carry-over 4, which gives us 46. So the tens digit is 6 and we carry-over the 4.

Continuing with the multiplication, we get:

6 x 0 = 0 (no carry-over)

6 x 7 = 42 (carry-over 4)

6 x 2 = 12 (carry-over 1)

Adding the carry-over, we get:

4 + 4 + 1 = 9

Therefore, x+y= 8 + 6 = 14

Answer:

290

Step-by-step explanation:

Formula :

Number of action figures on wall = Total number of figures × % of figures on wall

=============================================================

Given :

⇒ Total number of action figures = 500

⇒ % of action figures on wall = 58%

=============================================================

Solving :

⇒ Action figures on wall = 500 × 58%

⇒ Action figures on wall = 500 × 58/100 (all % are ratios of 100%)

⇒ Action figures on wall = 5 × 58

⇒ Action figures on wall = 290

Total action figures

Done!

Answer:

88%

Step-by-step explanation:

Principal estimates: 220

Actual attendance: 250

220/ 250 = .88 x 100 = 88%

Answer:

10 square units.

Step-by-step explanation:

It is given that triangle ABC has its vertices A, B, and C on the sides of a rectangle 4 units by 5 units.

Height of triangle = 4 units

Base of triangle = 5 units

We need to find the area of triangle.

Area of triangle \(=\dfrac{1}{2}\times base \times height\)

Substitute base = 5 and height = 4 in the above formula.

Area of triangle \(=\dfrac{1}{2}\times 5\times 4\)

Area of triangle \(=\dfrac{20}{2}\)

Area of triangle \(=10\)

Therefore, the area of triangle ABC is 10 square units.

Answer:

9

Step-by-step explanation:

Answer:

(E) x = 1, x = 3

Step-by-step explanation:

|x-2| = +- 1

x-2 = 1

x = 3

x-2 = -1

x = 1

Answer:

= 1/2

Step-by-step explanation:

√25 / √100

= 1/2

The correct answer is: 1/2

435

Step-by-step explanation:

38+36 x10.50=435 gross pay

Answer:

width = (21 - 2n) ÷ 2 or 21/2 - n

Step-by-step explanation:

To find Width

let's say width is x

so 2x + 2n = 21

take away 2n from both sides

then 2x = 21 - 2n

Divide both sides by 2 to get x on its own

x = 21 - 2n /2

therefore the width of the rectangle is 21 - 2n /2

The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.

The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),

where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to

\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).

This can be written as nine-eighths of the length of the box squared.

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Answer:

j = 6

Step-by-step explanation:

1. What one needs to know

-Slope-intercept form

The formula of a line in slope-intercept form is;

y = mx + b

Where "m" is the slope. and "b" is the y-intercept.

2. Approach

The slope of the line is given. One has to solve for the y-intercept. Since a point on the line is given, one simply has to substitute in the point on the line and solve for b. The one substitutes in the other point with the unknown in it. One will then solve to find the unknown.

3. Finding "b"

It is given that this line has a slope of \(\frac{1}{5}\), therefore, the equation of the line with the slope would look something like this;

y = \(\frac{1}{5}\)x  + b

It is given that (-4, -8) is on the line, substitute this point in;

-8 = \(\frac{1}{5}\)(-4) + b

Solve;

-8 = \(\frac{1}{5}\)(-4) + b

-8 = - 0.8 + b

-7.2 = b

The complete formula of this line is;

y = 0.2(x) - 7.2

( in decimals )

4. Solve of "j"

Point (j, -6) is on this line, substitute it into the formula

y = 0.2(x) - 7.2

-6 = 0.2(j) - 7.2

Inverse operations;

-6 = 0.2(j) - 7.2

+7.2          +7.2

1.2 = 0.2(j)

/0.2   /0.2

6 = j

The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

To find the length of the curve, we need to use the arc length formula:

L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.

First, we need to find dy/dx:

dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))

dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))

Now, we can substitute this into the arc length formula:

L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.

Simplifying the inside of the square root, we get:

L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.

We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):

L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.

Expanding the numerator, we get:

L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.

Simplifying the expression under the square root, we get:

L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.

We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.

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The ordered pairs which give the solutions of the system of equations are (-4, 1) and (-8, 9)

In order to determine the ordered pairs which give the solutions of the system of equations in a linear-quadratic graph, you need to find the points of intersection of the line and curve from the graph.

Then trace to the x and y-axes to find the ordered pairs values (Check the image attached)

Thus, the ordered pairs are (-4, 1) and (-8, 9)

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Answer:

216.8

Step-by-step explanation:

Pi times 13-Pi times 100

6^3

I hope this helps give the other guy brainliest

The distribution of scores in a population is expected to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

The distribution of scores in a population refers to the spread of scores in the entire population.

Population refers to the entire group of individuals, events, or things from which the sample or data is taken from. In population data, the variability or differences between the scores of the entire population is expected to be larger and wider.

The size of the distribution is determined by the range of scores, which can be further illustrated by the interquartile range, variance, and standard deviation. The distribution of sample means based on random samples of 25 cases from this population:

This refers to the distribution of the means of samples of the same size taken from the population. In this case, the sample means are based on random samples of 25 cases taken from the population. The variability of the sample means is referred to as the standard error of the mean (SEM) and is calculated as the standard deviation divided by the square root of the sample size (n).

When the sample means are drawn from the population, the sample means are expected to be less variable than the entire population because they are based on random samples and therefore are likely to be more representative of the population.

Since the sample means are less variable, the distribution of sample means will be narrower than the population distribution and will tend to be normally distributed with a mean equal to the population mean.

Therefore, we expect the distribution of scores in a population to be more variable than the distribution of sample means based on random samples of 25 cases from this population.

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Answer:

To prove: The equation x2+px−1=0 has real and distinct roots for all real values of p.

Consider x2+px−1=0

Discriminant D=p2−4(1)(−1)=p2+4

We know p2≥0 for all values of p

⇒p2+4≥0 (since 4>0)

Therefore D≥0

Hence the equation x2+px−1=0 has real and distinct roots for all real values of p

This means the Probability of drawing a star is now 4/8 or 1/2, which is equal to the probability of drawing a card without a star. Thus, the game is now fair.

To make the game fair, we need to ensure that the probability of drawing a card with a star is the same as the probability of drawing a card without a star.

Currently, there are 4 cards with stars and 6 cards without stars, which means the probability of drawing a star is 4/10 or 2/5, while the probability of drawing a card without a star is 6/10 or 3/5.

To make the game fair, we need to adjust the number of cards with stars and without stars so that the probabilities are equal.

Option A is not correct because the game is not currently fair.

Option B is not correct because adding 2 cards with stars will increase the probability of drawing a star to 6/12 or 1/2, which is not equal to the probability of drawing a card without a star.

Option C is also not correct because adding a star to 1 of the blank cards will still result in a probability of drawing a star that is not equal to the probability of drawing a card without a star.

Therefore, the correct answer is option D: take away 2 blank cards. If we remove 2 blank cards, we are left with 4 cards with stars and 4 cards without stars. This means the probability of drawing a star is now 4/8 or 1/2, which is equal to the probability of drawing a card without a star. Thus, the game is now fair.

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13.35% percent of students scored below Shireen.

A percentage is a quantity or ratio that is expressed as a fraction of 100. The percentage sign "%" is used to denote it. The percentage is denoted by the abbreviations "pct" or "pc". In other words, the percentage is measured in terms of 100 and is defined as the amount of one quantity that is made up of another. The % is a flat number. They are dimensionless numbers, in other words. When we say a number is 60% of another, we mean that it is 60% of the whole.

Given,

z score = -1.11

Mean = 75

Standard deviation = 5

P( z < -1.11) = 0.1335

In percentage,

P(z < -1.11) = 0.1335 × 100%

P(z < -1.11) = 13.35%

13.35% percent of students scored below Shireen.

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\(\huge\text{Hey there!}\)

\(\textsf{A ratio equivalent to 6:10 is:}\)

\(\textsf{A) 3:4}\)

\(\textsf{B) 18:30}\)

\(\textsf{C) 12:40}\)

\(\textsf{D) 5:3}\)

\(\textsf{You can find equivalent ratios if you DIVIDE both numbers by their GCF}\\\textsf{(Greatest Common Factor)}\)

\(\mathsf{6: 1,2,3,6}\\\\\mathsf{10: 1,2,5,10}\\\\\\\textsf{DIVIDE both numbers (6 \& 10) from 2 since it is its GCF}\\\\\mathsf{6\div2 = 3}\\\mathsf{10\div2= 5}\\\\\textsf{ \bf \huge = 5:3}\)

\(\boxed{\boxed{\huge\textsf{Answer: \bf D. 5:3}}}\huge\checkmark\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

a) The set {1, 2, 3} does not represent vectors, but rather a collection of scalars. Therefore, there are no vectors in {1, 2, 3}.

b) The number of vectors in "col a" cannot be determined without additional context or information. "Col a" could refer to a column vector or a collection of vectors associated with a variable "a," but without further details, the exact number of vectors in "col a" cannot be determined.

c) Without knowing the specific context of "p" and "col a," it is impossible to determine if "p" is in "col a." The inclusion of "p" in "col a" would depend on the definition and properties of "col a" and the specific value of "p."

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Answer:

3x + 4.5x + 1 = 28

3.6 seconds

Step-by-step explanation:

Initial distance apart = 1 foot

Student A:

Walk rate = 3 ft per second

Student B:

1.5*3 = 4.5 ft per second

How long it will take to be a total of 28 feets apart

Distance = speed * time

Let time = x in seconds

Student A distance = 3x

Stident B distance = 4.5x

Initial distance = 1 foot

3x + 4.5x + 1 = 28

7.5x = 28 - 1

7.5x = 27

x = 27/ 7.5

x = 3.6 seconds

Since the omnibus null hypothesis is rejected in a one-factor anova,  We conclude that at least one of the population means is said to be different from also at least one other population mean.

It is known to be called HA. It is one that shows that  at least one coefficient is said to not be equal to zero.

Note that the above is an example of an omnibus test due to the fact that the null hypothesis is testing the question of if a lot of parameters are equal to zero at once.

Hence, Since the omnibus null hypothesis is rejected in a one-factor anova,  We conclude that at least one of the population means is said to be different from also at least one other population mean.

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Let A1, A2 and A3 be three events. The statement given is P( A1 ∩ A2) = P( A1 ∩ A3) 7= 0 but P( A2 ∩ A3) = 0. we can prove that P (at least one Ai ) = P( A1) + P( A2) + P( A3) − 2P( A1 ∩ A2).

We can prove that P (at least one Ai ) = P( A1) + P( A2) + P( A3) − 2P( A1 ∩ A2). To prove this, let us consider two mutually exclusive cases:      

Case 1: If exactly one of the events occurs, then P (at least one Ai ) = P( A1) + P( A2) + P( A3).

Case 2: If two or more of the events occur, then P (at least one Ai ) = P( A1 ∩ A2) + P( A1 ∩ A3) + P( A2 ∩ A3).

From the given statement, we know that P( A1 ∩ A2) = P( A1 ∩ A3). Therefore, P (at least one Ai ) = P( A1) + P( A2) + P( A3) − 2P( A1 ∩ A2).

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Answer:

Step-by-step explanation:

Given a formula for the balance in an account earning compound interest, you want the balance after 4 years when the principal invested is $500, the interest rate is 11%, and compounding occurs once per year.

For P=500, r=0.11, n=1, t=4 the formula is ...

  A = 500(1 +0.11/1)^(1·4)

  A = 500(1.11^4) = 500(1.51807041) ≈ 759.04

There will be $759.04 in the account after 4 years.