What is theTan(pi/2)

Step-by-step explanation:

sorry it's not clear.

thank you

patterns a and d have a constant difference, pattern c has a constant difference, and patterns b, e, and f do not have a constant difference or a constant ratio.

a. The pattern has a constant difference. The first term is 1, the second term is 4, which is 3 more than 1, the third term is 10, which is 6 more than 4, and the fourth term is 19, which is 9 more than 10.

b. The pattern does not have a constant difference or a constant ratio. The differences between consecutive terms are 3, 2, and 4, respectively, which are not constant. The ratios between consecutive terms are 2.5/2, 1.4/2.5, and 11/1.4, respectively, which are also not constant.

c. The pattern has a constant difference. The first term is 3, the second term is 7, which is 4 more than 3, the third term is 13, which is 6 more than 7, and the fourth term is 21, which is 8 more than 13.

d. The pattern has a constant difference. The first term is 12, the second term is 10, which is 2 less than 12, the third term is 6, which is 4 less than 10, and the fourth term is 0, which is 6 less than 6.

e. The pattern does not have a constant difference or a constant ratio. The differences between consecutive terms are 4, 7, and 10, respectively, which are not constant. The ratios between consecutive terms are 2.5/2, 13/2.5, and 23/13, respectively, which are also not constant.

f. The pattern does not have a constant difference or a constant ratio. The differences between consecutive terms are 6, 12, and 18, respectively, which are not constant.

The ratios between consecutive terms are 13/7, 25/13, and 43/25, respectively, which are also not constant.

To learn more on Ratios click:

brainly.com/question/13419413

#SPJ1

Sebastian's basis in the two assets are: $42,389 and $66,611

The computation of the Sebastian's basis in these two assets is shown below:

= Market value of the first piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($76300 ÷ $(76300 + 119900)) × $109,000

= $42,389

= Market value of the second piece of equipment ÷ Total market value of two pieces of equipment × purchase value of two pieces of equipment

= ($119,900 ÷ $(76300 + 119900)) × $109,000

= $66,611

The Total market value of two pieces of equipment

= $(76300 + 119900)

= $196,200

Read more about Total Assets at: https://brainly.com/question/1169437

#SPJ1

Answer:

Step-by-step explanation:

To show that the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\), we can simplify both sides of the equation using the properties of logarithms. Here are the steps:

Step 1: Simplify the expression on the left side:

\(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\)

Step 2: Apply the logarithmic property \(\ln(a) - \ln(b) = \ln\left(\frac{a}{b}\right)\) to combine the logarithms:

\(\ln\left(\frac{\sqrt{2} + 1}{\frac{1}{\sqrt{2}}}\right)\)

Step 3: Simplify the expression within the logarithm:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)}\right)\)

Step 4: Simplify the denominator by multiplying by the reciprocal:

\(\ln\left(\frac{(\sqrt{2} + 1)}{\left(\frac{1}{\sqrt{2}}\right)} \cdot \sqrt{2}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{\left(\frac{1}{\sqrt{2}}\right) \cdot \sqrt{2}}\right)\)

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

Step 5: Simplify the numerator:

\(\ln\left(\frac{(\sqrt{2} + 1) \cdot \sqrt{2}}{1}\right)\)

\(\ln\left(\sqrt{2}(\sqrt{2} + 1)\right)\)

\(\ln\left(2 + \sqrt{2}\right)\)

Now, let's simplify the right side of the equation:

Step 1: Simplify the expression on the right side:

\(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\)

Step 2: Simplify the expression within the logarithm:

\(-\ln\left(\frac{\sqrt{2} - 1}{\sqrt{2}}\right)\)

Step 3: Apply the logarithmic property \(\ln\left(\frac{a}{b}\right) = -\ln\left(\frac{b}{a}\right)\) to switch the numerator and denominator:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

Step 4: Simplify the expression:

\(-\ln\left(\frac{\sqrt{2}}{\sqrt{2} - 1}\right)\)

\(-\ln\left(\frac{\sqrt{2}(\sqrt{2} + 1)}{1}\right)\)

\(-\ln\left(2 + \sqrt{2}\right)\)

As we can see, the expression \(\ln(\sqrt{2} + 1) - \ln\left(\frac{1}{\sqrt{2}}\right)\) simplifies to \(\ln(2 + \sqrt{2})\), which is equal to \(-\ln\left(1 - \frac{1}{\sqrt{2}}\right)\).

Answer:

Area = 80 yd²

Step-by-step explanation:

=> First make a common base:

Common base = (Base 1 + Base 2) / 2

Common base = (14 + 18) / 2

Common base = 32 / 2

Common base = 16

=> Now multiply the common base by the height to find the area:

Area of the figure = Common Base * Height of the figure

A = 16 * 5

A = 80

Hope this helps!

Answer:12

Step-by-step explanation:

Answer:

1. Debit Petty cash for $400; and Credit Cash for $400.

2. Total petty cash payment = $270.57

3(a) Cash reimbursement is $279.58; and Cash over and short is $9.01.

3(b) Debit Petty cash for $100; and Credit Cash for $100.

Step-by-step explanation:

Note: This question is not complete. The full complete question is therefore provided before answering the question. See the attached pdf file for the full question.

The explanations to the answers are now given as follows:

1. Prepare the journal entry to establish the petty cash fund.

Note: See the journal entry in the attached excel file

2. Prepare a petty cash payments report for February with these categories: delivery expense, mileage expense, postage expense, merchandise inventory (for transportation-in), and office supplies expense. Sort the payments into the appropriate categories and total the expenditures in each category.

Note: See the petty cash payments report in the attached excel file.

3. Prepare the journal entries for required 2 to both (a) reimburse and (b) increase the fund amount.

Note: See the journal entries (a) and (b) in the attached excel file

3(a) Reimburse Workings:

w.1: Calculation of Cash reimbursement

Cash reimbursement = Petty cash fund - Petty cash fund balance = $400 - $120.42 = $279.58

w.2: Calculation of the Cash over and short

Cash over and short = Cash reimbursement – Total expenses = $279.58 - $270.57 - $120.42 = $9.01

Using it's concept, it is found that the probability of guessing the right combination in one try’s is of \(\frac{1}{1296}\).

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 4 dials, each with a \(\frac{1}{6}\) probability of getting it correct, hence the probability of getting the right combination is given by:

\(p = \left(\frac{1}{6}\right)^4 = \frac{1}{1296}\).

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Step-by-step explanation:

0.001374

standard form means writing a value in shortened form, because sometimes values are too big or small to be written, so we use standard form.

in standard for the decimal always comes after the first digit

so,

\(1.374 \times {10 }^{ - 3} \)

the decimal moves 3 digits to the right so it becomes ten raised to the power minus 3.

Answer:

A

Step-by-step explanation:

The word sentence which is used to represent the given inequality

p ≥ 8.9 is a number is at least as large as 8.9.

As given in the question,

Given inequality is equal to :

p ≥ 8.9

In the given inequality sign of greater than and equals to is used.

Explanation for the given word sentences:

Meaning of at least is minimum this much.

At least as large means ( ≥) greater than or equal to

Option is correct.

It represents the symbol (≤ )less than or equal to.

Incorrect option.

It represents the symbol of > greater than only.

Incorrect option.

Therefore, the word sentence which is used to represent the given inequality p ≥ 8.9 is a number is at least as large as 8.9.

Learn more about inequality here

brainly.com/question/28823603

#SPJ1

On solving the provided question, we can say that  annual percentage yield (APY) in this situation, we need to take into account the effect of compounding. The formula for APY is: \(APY = (1 + APR/n)^{n - 1}\)

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

annual percentage yield (APY) in this situation, we need to take into account the effect of compounding. The formula for APY is:

\(APY = (1 + APR/n)^{n - 1}\)

where APR is the annual percentage rate, n is the number of compounding periods per year.

In this case, the APR is 2.65% and the compounding period is monthly, so n = 12 (number of months in a year). Plugging these values into the formula, we get:

\(APY = (1 + 0.0265/12)^12 - 1\\APY = 0.02692 or 2.692%\)

Therefore, the annual percentage yield (APY) for this bank account is 2.692%.

To know more about percentage visit:

https://brainly.com/question/28269290

#SPJ1

Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Answer:

Based on the diagram, we can see that the triangle formed by the line segment with length 8 and the two dashed line segments is a right triangle with a 45° angle. This means that the other two angles of the triangle are also 45° each.

Using the properties of 45°-45°-90° triangles, we know that the length of the hypotenuse is equal to the length of either leg times the square root of 2. Therefore, we have:

x = 8 / sqrt(2) = 8 * sqrt(2) / 2 = 4 * sqrt(2)

So the value of x is option B: 8√2 / 2 or simplified, 4√2.

a.

d degrees can be any quantity, then, for the given figure you have:

In this image you can observe a rotation of d dregrees of the triangle ABC (black lines), around point D, which results in the image A'B'C' (red lines). All points has been rotated d dregrees, the green lines represent the rotation of point C.

b. For a rotation of d degrees arounf point E, you obtain:

The figure ABC (black lines) has been rotated d degreees around point E. The result is the figure A''B''C'' (red lines)

c. The relation between the sides of the previous figure is AB=A'B'=A''B'', BC=B'C'=B''C'', and CA=C'A'=C''A'', that is, the lengths of the sides of the figure ABC does not change after the rotations.

Answer:Unit rate is 3.7

Step-by-step explanation:if that’s what you are asking for, you were not very specific

Answer:

-8

Step-by-step explanation:

Answer: For instance, if we cut the pie into 6 equal slices, then 1 slice represents 1/6 of the whole pie. In the same way, if we break 1 into 6 equal parts, 1 part represents 1/6 of 1. Unit fractions are 1 part of the number 1. Notice that the more pieces you slice the pie into, the smaller the pieces of pie become.

Step-by-step explanation:

Answer:

5x^2+10x-3

Step-by-step explanation:

Answer:

0.04734848484

Step-by-step explanation:

The 6.25 divided by 132 equals 0.235 (rounded to three decimal places).

To calculate 6.25 divided by 132, perform the following steps:

Step 1: Divide the whole number part.

Divide 6 by 132, which equals 0 with a remainder of 6.

Step 2: Convert the remainder to a fraction.

The remainder 6 becomes 6/132.

Step 3: Divide the fractional part.

Divide 25 by 132, which gives the fraction 25/132.

Step 4: Add the results from Step 2 and Step 3.

Combine the fractions obtained in Step 2 and Step 3: 6/132 + 25/132 = 31/132.

The final result is 0 31/132, which can be simplified to 0 7/44 or written as a decimal as approximately 0.235. Therefore, 6.25 divided by 132 equals 0.235 (rounded to three decimal places).

To know more about divided:

https://brainly.com/question/15381501

#SPJ6

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

https://brainly.com/question/34063927

#SPJ11

Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

For more question on probability visit:

https://brainly.com/question/25839839

#SPJ8

The total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

To calculate the total prorations for interest and property taxes, we need to determine how much the seller owes for each of these expenses up to the closing date of June 15.

First, let's calculate the daily interest rate on the mortgage. We can do this by multiplying the principal amount of the mortgage ($168,745.60) by the annual interest rate (8%) and then dividing by 365 (the number of days in a year):

Daily interest rate = ($168,745.60 x 0.08) / 365 = $36.94

Next, we need to determine the number of days from the start of the month (June 1) to the closing date (June 15):

Number of days = 15 - 1 = 14

Using the daily interest rate and the number of days, we can calculate the proration for interest:

Proration for interest = ($36.94 x 14) = $516.76

To calculate the proration for property taxes, we need to divide the annual property taxes ($3,893.25) by 365 to get the daily property tax rate:

Daily property tax rate = $3,893.25 / 365 = $10.65

Next, we need to determine the number of days from the start of the year to the closing date (June 15):

Number of days = 165

Using the daily property tax rate and the number of days, we can calculate the proration for property taxes:

Proration for property taxes = ($10.65 x 165) = $1,754.25

Therefore, the total prorations for interest and property taxes to the nearest $100 are:

Proration for interest: $517

Proration for property taxes: $1,754

These prorations will be subtracted from the seller's equity, since they are expenses that the seller owes up to the closing date.

To know more about  mortgage here

https://brainly.com/question/29981765

#SPJ1

The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.

To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.

Initial number of ponds: 19

Final number of ponds: 10

To calculate the percent decrease, we can use the following formula:

Percent Decrease = (Difference / Initial Value) * 100

Let's apply this formula to the given data:

Difference = Initial number of ponds - Final number of ponds

Difference = 19 - 10

Difference = 9

Percent Decrease = (9 / 19) * 100

Now, let's calculate the percent decrease:

Percent Decrease = (9 / 19) * 100

Percent Decrease ≈ 47.37%

For such more question on number:

https://brainly.com/question/30752681

#SPJ8

Answer:

The volume of the rock is 648 cm^3

Step-by-step explanation:

Likely the only dimension that is free to move is the depth of 7 cm.

Volume of the Rock = L * W * h1

L = 24

W = 10

h1 = 2.7

V = 24 * 10 * 2.7

V = 648 cm^3

Answer:

3 and 21/22

Step-by-step explanation:

You convert the fractions so they have the same number as the denominator and then subtract them.

The equation that can be used to find b, when E and n are known is: b = (E - 12n) / 8.

This equation can be derived from the original equation of E=8b+12n. To solve for b, we can start by subtracting 12n from both sides of the equation to isolate b. We then divide both sides of the equation by 8 in order to solve for b.

The result is b = (E - 12n) / 8. This equation can be used to find the number of bracelets (b) when the total earnings (E) and the number of necklaces (n) are known.

We can rearrange the equation to solve for b.

E = 8b + 12n

Subtract 12n from both sides:

E - 12n = 8b

Divide both sides by 8:

(E - 12n)/8 = b

Therefore, the equation to find b, when E and n are known, is:

b = (E - 12n)/8

For more questions like Equation click the link below:

https://brainly.com/question/1529522

#SPJ4

The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order without replacement is 0.000303.

The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order is determined as follows:

Probability of selecting the first red ball = 10/24

Probability of selecting the second red ball = 9/23.

Probability of selecting the first blue ball = 8/22.

Probability of selecting the second blue ball = 7/21.

Probability of selecting the third blue ball = 6/20.

Probability of selecting the yellow ball = 6/19.

Hence;

The probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order will be:

Probability = (10/24) * (9/23) * (8/22) * (7/21) * (6/20) * (6/19)

Probability = 0.000303

Therefore, the probability of selecting 2 red balls, 3 blue balls, and 1 yellow ball in that order without replacement is 0.000303.

Learn more about probability at: https://brainly.com/question/13604758

#SPJ1

Answer:

y = -2x + 5

Step-by-step explanation: