Alejandro would like to start a new business. His friends have suggested

Answer:

Step-by-step explanation:

Vertices of the rectangle has been given as A(-2, 1), B(2, 1), C(2, -1) and D(-2, -1).

Coordinates after reflection about y-axis,

Rule for the reflection,

(x, y) → (-x, y)

New points after reflection will be A'(2, 1), B'(-2, 1), C'(-2, -1) and D'(2, -1).

Coordinates after rotation of 180° about the origin,

Rule for the rotation,

(x, y) → (-x, -y)

A'(2, 1) → A"(-2, -1)

B'(-2, 1) → B"(2, -1)

C'(-2, -1) → C"(2, 1)

D'(2, -1) → D"(-2, 1)

Coordinates after translation of 3 units left and 2 units down.

Rule for the translation,

(x, y) → [(x - 3), (y - 2)]

A"(-2, -1) → A"'(-5, -3)

B"(2, -1) → B"'(-1, -3)

C"(2, 1) → C"'(-1, -1)

D"(-2, 1) → D"'(-5, -1)

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

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Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer: C. For every 2 rectangles there are 4 triangles.

Step-by-step explanation: I just did it on Edge :)

Answer:

D

Step-by-step explanation:

Just came back from the quiz

Answer:

1. 0.23 (1.2)

2. (0.3) (-0.12)(2.4)

3. -5/6 x (-9/10) divided by 17/20

4. 17/18 x (-10/21) divided by 11/9

5. 24.3 divided by 3

6. 10 1/2 divided by 1 3/8

7a. 102 divided by 5/6

7b. 102 divided by 5/6 divided by 11/7

8. 1 1/2 x 1/4 (answer x 3)

2

Step-by-step explanation:

Answer:

  (-∞, -3] or [-3, ∞)

Step-by-step explanation:

You want the largest domain interval(s) on which the function shown in the graph could be one-to-one.

A one-to-one function must pass the horizontal line test. That is, no horizontal line can intersect its graph in more than one place.

For that to be true of the given function, the interval on which it is defined cannot include values on both sides of x=-3, where the graph has a minimum. That is, the domain must be either x ≤ -3, or x ≥ -3, (or some subset of either of these).

The largest intervals on which the function has an inverse are ...

  (-∞, -3]  or  [-3, ∞)

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To make the given function one-to-one and have an inverse, we can restrict its domain to (-∞, a) or (a, ∞), where 'a' is the x-coordinate of the highest or lowest point on the graph.

To make the given function one-to-one and have an inverse, we need to restrict its domain. The largest domains, in interval notation, that can be used are: (-∞, a) or (a, ∞) where 'a' is the x-coordinate of the highest or the lowest point on the graph, depending on the function type.

If the graph has a highest point, the domain is restricted to (a, ∞), where 'a' is the x-coordinate of the highest point. If the graph has a lowest point, the domain is restricted to (-∞, a), where 'a' is the x-coordinate of the lowest point.

For example, if the graph has a highest point at (3, 5), the domain would be restricted to (3, ∞) to make the function one-to-one and have an inverse.

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The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.

To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.

Actual quotient:

Dividing 54,114 by 29, we get:

54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)

Estimated quotient:

Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:

54,000 ÷ 30 = 1,800

Difference between actual and estimated quotient:

Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379

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\(x^3=216\\x=\sqrt[3]{216}=6\)

This is a simple example. You (should) know that \(6^3=216\).

But you can solve it like this:

\(\begin{array}{r|l}216&2\\108&2\\54&2\\27&3\\9&3\\3&3\\1\end{array}\)

Therefore

\(\sqrt[3]{216}=\sqrt[3]{2^3\cdot3^3}=\sqrt[3]{2^3}\cdot\sqrt[3]{3^3}=2\cdot3=6\)

Hi student, let me help you out! :)

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

We are asked to find the value of x in the equation \(\pmb{x^3=216}\).

\(\triangle~\fbox{\bf{KEY:}}\)

Is x by itself? No, it's cubed, or multiplied times itself three times.

So we need to use the opposite operation.

The opposite of cubing is taking the cube root, so we take the cube root of both sides:

\(\star~\large\pmb{\sqrt[3]{x^3}=\sqrt[3]{216}}\)

On the left, the cube root sign and the cube cancel, because they're opposite, and we're left with x.

On the right, we take the cube root of 216, which gives us:

\(\star~\large\pmb{x=6}\)

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

The easiest expression to simplify by using the associative property is expression "b", since there is an addition already set (120 + 80 =200) to be performed.

'The other expressions involve more steps.

Answer:

= -1.8f-19

Step-by-step explanation:

- Add the similar elements which would give you -1.8f-15-4

- Then subtract -15-4 which gives you -19

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Partial quotients can be used to find 832 ÷ 26 by the explanation that follows. C. Subtract 30 × 26 from 832 to get 52. Then subtract 2 × 26 from 52 to get 0. Then add the partial quotients 30 + 2 to get 32. The quotient is 32

Partial quotient is the method that is sued to solve the big division problems in mathematics. It is one that is done through the use of logic in order to get the solution

For instance

832 ÷ 26 ⇒ 30

30 * 26 = 780

832 - 780 = 52

52 ÷ 26 ⇒ 2

2 * 25 = 52

52 - 52 = 0

The quotient is gotten by adding up the values gotten during the division

= 30 + 2

= 32

32 is the quotient and option C is the correct option

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Professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

Certain mistakes might never be corrected. It is also possible to later reverse an edit that fixed a mistake.

Wikipedia shouldn't be used as the sole source of information, for this reason.

The Signpost, non-article pages, articles, and non-English Wikipedias are all included in this.

In contrast to reference books, many items in the online encyclopedia are well-researched, reviewed for quality, and frequently kept up to date.

Nonetheless, even 20 years after its inception, the content of the encyclopedia can still be changed, sometimes almost imperceptibly.

Therefore, professor Holmes is making this effort to ensure the (C) reliability of the TAs' grades.

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Answer:

0>0 or error

Step-by-step explanation:

8m-2(14-m)>7(m-4)+3m

8m-28+2m>7m-28+3m

10m-28>10m-28

0>0

The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.

The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:

X² = ∑(observed - expected)² / expected

The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.

To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.

Category 1: expected frequency = 49, observed frequency = 12

Category 2: expected frequency = 49, observed frequency = 22

Category 3: expected frequency = 49, observed frequency = 65

Category 4: expected frequency = 49, observed frequency = 97

Using the formula above, we can calculate the test statistic:

X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]

X² = 37.96

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Complete Question:

An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.

Answer:

240

Step-by-step explanation:

if that is 60 percent that means that if you times 600 by 40 percent that should get you your awnser

Answer:

your answer is B my kind friend

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

8 = 6x + -2x

8 = 4x

8 = 4x

4 4

2 = x

Answer:

$38.89.

Step-by-step explanation:

In this problem we have a quadratic equation, which, as you may already know, consists on a curve that has a maximum or minimum value, depending whether the x^2 value has a positive of negative sign before it.

In this case, the equation has a negative sign, which indicates that his function has a maximum point, which is the same point we are looking for in order to get the price widgets should be sold for, for the company to make the maximum profit. Now that we know that, let's go ahead and find the maximum value of the function. I'm gonna solve this on a digital board and attatch the images to this answer.

If you don't feel familiar with the process of taking derivatives, I suggest you watch some videos of explanations of this topic. Also, you can use Ron Larsson's Calculus books to practice derivation. Good luck!

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Answer:

If Kareem were to work for 5 hours, she would get paid $45.

Step-by-step explanation:

If she gets paid $72 for working 8 hours, you would need to find how much she gets paid per hour by doing \(72/8\).

Which then gives you $9 per hour, so then all you need to do is multiply $9 by the number of hours which in this case is 5 to get the answer of $45.

The length of BC is approximately 18.656 units.

To find the length of BC, we can use the trigonometric ratio of the sine function:

sin(C) = opposite / hypotenuse

where C is the angle opposite the side we're trying to find (BC), and the hypotenuse is the longest side of the triangle (AB).

We know that C = 58 degrees and AB = 22, so we can plug in those values and solve for BC:

sin(58) = BC / 22

Multiply both sides by 22 to isolate BC:

BC = 22 * sin(58)

Using a calculator, we can find that sin(58) = 0.8480 (rounded to four decimal places). Therefore:

BC = 22 * 0.8480 = 18.656 (rounded to three decimal places)

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Answer:

0.273 = 27.3% probability that she was late on Thursday.

Step-by-step explanation:

On time on Monday, late on Thursday:

Possible outcomes (tuesday-wednesday-thursday).

on time(0.7 probability) - on time(0.7 probability) - late(0.3 probability)

on time(0.7 probability) - late(0.3 probability) - late(0.2 probability)

late(0.3 probability) - on time(0.8 probability) - late(0.3 probability)

late(0.3 probability) - late(0.2 probability) - late(0.2 probability).

What is the probability she was late on Thursday?

Sum of these four outcomes. So

\(p = 0.7*0.7*0.3 + 0.7*0.3*0.2 + 0.3*0.8*0.3+0.3*0.2*0.2 = 0.273\)

0.273 = 27.3% probability that she was late on Thursday.

Answer:

B. - 23 < -6

Step-by-step explanation:

Answer:

Of the shapes you mentioned (circle, square, triangle, rectangle), the only one that has only one line of symmetry is the triangle. All other shapes have multiple lines of symmetry.

Step-by-step explanation:

Answer:

x = 23/5 and y = 7/20

Step-by-step explanation:

2x + 8y = 12 and 3x - 8y = 11 are two given equations

Now,

Step 1:

2x + 8y = 12 ...(1)

3x - 8y = 11 ...(2)

Step 2:

From equation (2) we get the value of x

i.e.,

3x - 8y = 11

3x = 8y + 11

x = 8y + 11/3

Step 3:

Now,

Put the value of x = 8y + 11/3 in equation (1) we get,

i.e.,

2x + 8y = 12

2(8y + 11/3) + 8y = 12

16y + 22/3 + 8y = 12

16y + 22 + 8y(3)/3 = 12

16y + 22 + 24y/3 = 12

16y + 24y + 22 = 12 * 3

40y = 36 - 22

40y = 14

y = 14/40

y = 7/20

Step 4:

Now,

Substitute the value of y = 7/20 in equation (2) we get,

i.e.,

3x - 8y = 11

3x - 8(7/20) = 11

3x - 56/20 = 11

3x - 14/5 = 11

3x = 11 + 14/5

3x = 11 * 5 + 14/5

3x = 55 + 14/5

3x = 69/5

x = 69/3 * 5

x = 23/5

The inequality would be 18 ≤ a + Miles.

What is inequality?

An inequality is a mathematical statement that shows a relationship between two values or expressions, where one value or expression is greater than, less than, or not equal to the other.

In the context of the example provided, an inequality that represents the relationship between the voting age, Miles' current age, and the number of years Miles has to wait before he can vote is:

18 ≤ a + Miles

This inequality states that the number of years Miles has to wait, represented by the variable "a", plus Miles' current age, must be greater than or equal to 18 years in order for him to be eligible to vote. Since Miles is currently 16 years old, the value of "a" must be at least 2 years to satisfy this inequality.

Hence, the inequality would be 18 ≤ a + Miles.

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Answer:

\(\frac{6}{5} =\frac{x}{12}\)

Step-by-step explanation:

Write a proportion in the form:

Height/side= height/side

The side lengths are 5 and 12.

The height (of the 5 side) is 6.

The proportion can be written as:

\(\frac{6}{5} =\frac{x}{12}\)

After using the deductive reasoning the procedure always produces the number 8.

Procedure:

Let the number be x.

We have to add 5 to the number x.

So the expression is x + 5.

We have to multiply the sum by 3.

Now the expression is 3(x + 5).

Now we have to subtract 7.

Now the expression is 3(x + 5) - 7.

Then we have to decrease this difference by the triple of the original number.

The triple of original number is 3x.

Now the expression is {3(x + 5) - 7} - 3x.

Now solving this expression

= {3(x + 5) - 7} - 3x.

First simplify the bracket

= 3x + 15 - 7 - 3x.

= 8

Now we can se that the after following the whole procedure the answer is 8.

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