solve the formula please!!!!!!!!

The ratio of the height of the building to the number of floors is 15:1.

A ratio in mathematics illustrates how many times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

A unit rate is a price for one unit of anything. This is written as a ratio with a denominator of one. The denominator of a unit rate is always 1.

The unit rate is the denominator of a ratio of two different units. For instance, kilometer/hour, meter/sec, mile/hour, salary/month, and so on.

The following can be deduced based on the information:

Number of floor = 9

Height of the building = 135

The ratio of the height to the floors will be:

= 135 : 9

This will be reduced to the lowest term and will give 15:1.

The complete information is written below.

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Complete question:

The height of a building is proportional of the number of floors the figure shows the height of the building with 9 floors a 135 write the ratio of height of the building to the number of floors then find the unit rate and explain what it means in the situation

The number of miles in 4 weeks is 20 mules

From the question, we have the following parameters that can be used in our computation:

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Answer:

324

Step-by-step explanation:

1) substitute the 5 into the formula

n=5     \(a_{n}=4\)×\(3^{5-1}\)

2) simplify

5-1 = 4

\(3^4\) = 81

4×81 = 324

Hope this helps, have a great day!

Answer:

5th term = 324

Step-by-step explanation:

\(a_n \: = \: 4 \: \cdot \: {3}^{n - 1} \)

Where, n = 5

\(a_5 \: = \: 4 \: \cdot \: {3}^{5 - 1} \)

\(a_5 \: = 4 \: \cdot \: {3}^{4} \)

\(a_5 \: = 4 \: \cdot \: 81\)

\(a_5 \: = \: 324\)

Answer:

  x^2+y^2=25

Step-by-step explanation:

For my graphing utility, entering the given equation will generate the required graph. (The parentheses are not needed, but do no harm.)

In a RAID-5 configuration with 7 SSDs, the system can tolerate the failure of one SSD without losing any data. The probability that any given SSD fails is 1x10^(-8).

To calculate the probability of data loss due to SSD failures, we need to consider the probability of multiple SSD failures that would result in data loss. Since RAID-5 can tolerate the failure of one SSD, we need to calculate the probability of two or more SSDs failing.

The probability of two or more SSDs failing can be calculated using the binomial distribution. The probability of k failures in a system of n SSDs, each with a failure probability p, is given by the formula:

P(k) = C(n, k) * p^k * (1 - p)^(n - k)

In this case, we want to calculate the probability of k >= 2 failures out of 7 SSDs. Therefore, we need to sum up the probabilities for k = 2, 3, 4, ..., 7.

P(loss) = P(2) + P(3) + P(4) + P(5) + P(6) + P(7)

Using this formula and plugging in the values, we can calculate the probability of data loss due to SSD failures.

P(loss) = C(7, 2) * (1x10^(-8))^2 * (1 - 1x10^(-8))^(7 - 2) + C(7, 3) * (1x10^(-8))^3 * (1 - 1x10^(-8))^(7 - 3) + ... + C(7, 7) * (1x10^(-8))^7 * (1 - 1x10^(-8))^(7 - 7)

Calculating this sum will give us the probability of data loss due to SSD failures in the RAID-5 configuration.

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The simplified form of the trigonometric expression tan x + cot x csc x in terms of cos x is (1 + cos^2 x)/sin x.

To simplify the expression tan x + cot x csc x in terms of cos x, we need to express each trigonometric function in terms of sin x and cos x.

Step 1: Express cot x in terms of sin x and cos x.

cot x = cos x / sin x

Step 2: Express csc x in terms of sin x and cos x.

csc x = 1 / sin x

Step 3: Substitute the values from Step 1 and Step 2 into the expression tan x + cot x csc x.

tan x + cot x csc x = tan x + (cos x / sin x) * (1 / sin x)

Step 4: Simplify the expression by combining the terms.

= tan x + cos x / (sin x)^2

Step 5: Express tan x in terms of sin x and cos x.

tan x = sin x / cos x

Step 6: Substitute the value from Step 5 into the expression.

= (sin x / cos x) + cos x / (sin x)^2

Step 7: Simplify further by finding a common denominator.

= (sin^2 x + cos^2 x) / (cos x * sin x)

Step 8: Apply the trigonometric identity sin^2 x + cos^2 x = 1.

= 1 / (cos x * sin x)

Step 9: Rearrange the expression to get the final simplified form in terms of cos x.

= 1 / (sin x * cos x)

= (1 + cos^2 x) / sin x

So, the simplified form of the given trigonometric expression in terms of cos x is (1 + cos^2 x)/sin x.

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Answer: (19,4)

Step-by-step explanation:

Subtract the x axis with the x axis and y with y.

So,

7-(-12)= 19

1-(-3)= 4

Answer: The probability that less than 4 of the 7 adults need correction for their eyesight is approximately 0.1637.

Step-by-step explanation:

This problem can be solved using the binomial distribution, which models the probability of a certain number of successes in a fixed number of independent trials, each with the same probability of success.

Let X be the number of adults among the 7 randomly selected who need correction for their eyesight. Then X follows a binomial distribution with parameters n = 7 (the number of trials) and p = 0.7 (the probability of success in each trial).

We want to obtain  the probability that less than 4 of the 7 adults need correction for their eyesight. This can be written as:

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

To calculate each of these individual probabilities, we can use the formula for the binomial probability mass function:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate each of the probabilities:

P(X = 0) = (7 choose 0) * 0.7^0 * 0.3^7 = 0.0002

P(X = 1) = (7 choose 1) * 0.7^1 * 0.3^6 = 0.0032

P(X = 2) = (7 choose 2) * 0.7^2 * 0.3^5 = 0.0292

P(X = 3) = (7 choose 3) * 0.7^3 * 0.3^4 = 0.1311

Summing these probabilities, we get:

P(X < 4) = 0.0002 + 0.0032 + 0.0292 + 0.1311 = 0.1637

Therefore, the probability that less than 4 of the 7 adults need correction for their eyesight is approximately 0.1637.

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Using the normal distribution, the probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

Normal distribution refers to a continuous probability distribution wherein values lie in a symmetrical fashion mostly centered around the mean. In a normal distribution, the probability is calculated using the z-score of a measure X. A Z-score refers to a numerical measurement that defines a value's relationship to the mean (of a group of values).

In order to determine the probability of the sample proportion, the z-score of a measure X is determined.

z-score = (X - µ)/σ where µ is the mean and σ is the standard deviation.

The standard deviation σ = √(p(1-p)/n

From the given data:

n = no of random sample = 145

p = probability of success (household spending more than $125) = 0.32

Hence,

σ = √((0.32(1-0.32)/145) = 0.0387

Calculating the z-score when X = 0.3

z-score = (0.3 – 0.32)/0.0387 = -0.516

From the table, the probability of z = -0.516

P(X<z) = 0.30293 or 30.29%

The probability that the sample proportion of households spending more than $125 a week is less than 0.3 is 30.29%.

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Question: 6z ^2 (7z^2 + 3z- 2)

Answer: 42z^4 + 18z^3-12z^2

(hope this helps) :)

It will take 120 minutes for smaller hose to fill the complete swimming pool on its own.

Let us represent the complete swimming pool as 1. Now, total time required to fill the swimming pool is 40 hours. So, amount of swimming pool filled in 1 minute = 1/40

Similarly, amount fo swimming pool filled by larger hose in 1 minute = 1/60

Now for the smaller hose, the amount of swimming pool filled in 1 minute = 1/40 - 1/60

The amount of swimming pool filled in 1 minute = (60 - 40)/2400

The amount of swimming pool filled in 1 minute = 20/2400

The amount of swimming pool filled in 1 minute = 1/120

Total time taken to fill swimming pool = 1 ÷ (1/120)

Total time taken to fill swimming pool = 120 minutes

Thus, 120 minutes are required.

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Given that John is late 65% of the time on Mondays and 30% of the time on other school days, we need to calculate the probability that he is late on any randomly selected school day.

Let's assume that the probability of selecting a Monday is p(M) = 1/7 (since there are 7 days in a week and Monday is one of them), and the probability of selecting a non-Monday school day is p(N) = 6/7 (probability of selecting any other day of the week).

The probability that John is late on any randomly selected school day can be calculated using the law of total probability. We can consider two cases: John being late on a Monday (L|M) and John being late on a non-Monday school day (L|N).

Using the law of total probability:

P(L) = P(L|M) * P(M) + P(L|N) * P(N)

Given that John is late 65% of the time on Mondays (L|M = 0.65) and 30% of the time on other school days (L|N = 0.30), and substituting the probabilities:

P(L) = 0.65 * 1/7 + 0.30 * 6/7

     = 0.0929 + 0.2571

     = 0.35

Therefore, the probability that John is late on any randomly selected school day is 0.35 or 35%.

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Answer:

  36.4%

Step-by-step explanation:

You want the percentage change from $22 to $30.

The percentage change is given by the formula ...

  percent change = ((new value)/(old value) -1) × 100%

  = (30/22 -1)(100%) ≈ 36.4%

The stock increased in value by about 36.4%.

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Answer:Infintely many

Step-by-step explanation:

Step 1:4x+3=3+4x. Subract 3 from both sides

Step: 4x=4x. Because 4x=4x,if it was 3x=4x it would be no solution.

Answer: Commutative Property of Addition

The general rule for this is a+b = b+a

We can add any two numbers in any order we want.

Example: Since 2+3 = 5 and 3+2 = 5, we know 2+3 = 3+2

Step-by-step explanation:

f(0)=8

Coordinate: (0,8)

y intercept,c: 8

f(4)=20

Coordinate: (4,20)

gradient, m

= (20-8)/(4-0)

=3

Y=mx+c

f(x)=3x+8

f(x)=3x+8 is the  linear function f with the values f(0) = 8 and f(4) = 20.

A linear function is a function that represents a straight line on the coordinate plane.

The given functions are f(0)=8 and f(4) =20

For f(0)=8

Coordinate: (0,8)

y intercept, c: 8

For f(4)=20

Coordinate: (4,20)

gradient or slope, m when x₁=0,y₁=8,x₂=4, y₂=20

=( y₂-y₁)/(x₂-x₁)

= (20-8)/(4-0)=12/4

=3

The linear equation is in the form, y=mx+c

So f(x)=3x+8, where 3 is the slope and 8 is y intercept.

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The probability of drawing an ace and a king in either order is 55/676.

To find the probability of drawing an ace and a king in either order, we can use the formula of probability of union of two events. Suppose we have a deck of 52 cards and we want to find the probability of drawing an ace and a king in either order.Step 1: Probability of drawing an aceWe know that there are 4 aces in a deck of 52 cards.

Therefore, the probability of drawing an ace is:P(ace) = number of favorable outcomes/total number of outcomesP(ace) = 4/52Step 2: Probability of drawing a kingWe know that there are 4 kings in a deck of 52 cards. Therefore, the probability of drawing a king is:P(king) = number of favorable outcomes/total number of outcomesP(king) = 4/52Step 3:

Probability of drawing an ace and a king in either orderUsing the formula of probability of union of two events, we can find the probability of drawing an ace and a king in either order:P(ace or king) = P(ace) + P(king) - P(ace and king)

Since the events "drawing an ace" and "drawing a king" are independent, the probability of drawing an ace and a king in either order is twice the probability of drawing an ace and a king.P(ace and king) = P(ace) × P(king)P(ace and king) = (4/52) × (4/52)P(ace and king) = (1/13) × (1/13)P(ace and king) = 1/169P(ace or king) = (4/52) + (4/52) - (1/169)P(ace or king) = 8/52 - 1/169P(ace or king) = 55/676

Therefore, the probability of drawing an ace and a king in either order is 55/676.

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Answer:

\( |3| = 3\)

El valor absoluto de tres es tres

Answer:

Incorrecto. El valor absoluto de un número es siempre positivo o cero. Si el número original es negativo, su valor absoluto es el mismo número sin el signo negativo. La respuesta correcta es 3.

Step-by-step explanation:

The factors of the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that is true for f (9) = 0 are (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32).

The factor theorem states that: if p(x) is divisible by x - a if and only if p(a)=0.

The polynomial expression x^5 - 7x - 22x³ + 44x² - 104x + 288 and f (9) = 0, then x - 9 = 0 is a factor. Applying long division as follows;

x^5 divided by x equals x⁴

x - 9 multiplied by x⁴ equals x^5 - 9x⁴

subtract x^5 - 9x⁴ from x^5 - 7x - 22x³ + 44x² - 104x + 288 will result to 2x⁴ - 22x³ + 44x² - 104x + 288

2x⁴ divided by x equals 2x³

x - 9 multiplied by 2x³ equals 2x⁴ - 18x³

subtract 2x⁴ - 18x³ from 2x⁴ - 22x³ + 44x² - 104x + 288 will result to -4x³ + 44x² - 104x + 288

-4x³ divided by x equals -4x²

x - 9 multiplied by -4x² equals -4x³ + 36x²

subtract -4x³ + 36x² from -4x³ + 44x² - 104x + 288 will result to 8x² - 104x + 288

8x² divided by x equals 8x

x - 9 multiplied by 8x equals 8x - 72x

subtract 8x - 72x from 8x² - 104x + 288 will result to - 32x + 288.

-32x divided by x equals -32

x - 9 multiplied by -32 equals -32x + 288

subtract -32x + 288 from- 32x + 288 will result to a remainder 0(zero).

We can then conclude the factors (x - 9) and (x⁴ + 2x³ - 4x² + 8x - 32) are the product of linear factors for the polynomial f (x) = x^5 - 7x - 22x³ + 44x² - 104x + 288 that makes it zero.

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1. Closing entry of net income to retained earnings: Net income of $78 million is transferred from the income statement to retained earnings.

2. Payment of the cash dividend: Cash dividend of $22 million is paid out to shareholders, reducing retained earnings.

3. A stock dividend of 1 million shares of $1 par common stock is issued

4. A property dividend of Gary Larson Publishers preferred stock held as a short-term investment is issued

5. Treasury shares with a cost of $50 million are sold, resulting in a decrease in retained earnings and an increase in cash.

1. The closing entry transfers the net income earned during the year from the income statement to retained earnings, reflecting the increase in accumulated profits.

2. The payment of the cash dividend represents the distribution of profits to shareholders, resulting in a decrease in retained earnings and an outflow of cash.

3. The issuance of the stock dividend involves distributing additional shares of common stock to shareholders as a dividend. This reduces retained earnings while increasing common stock and additional paid-in capital.

4. The issuance of the property dividend involves distributing shares of Garfield Company preferred stock held as a short-term investment to shareholders. This reduces retained earnings and creates a property dividend distributable account to track the distribution.

5. The sale of treasury shares involves selling previously repurchased shares back to the market. This decreases retained earnings and increases cash, reflecting the proceeds from the sale.

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Exercise 21-18 (Algo) Spreadsheet entries from statement of retained earnings [LO21-3, 21-4, 21-5, 21-6, 21-7, 21-8]

The statement of retained earnings of Gary Larson Publishers is presented below.

GARY LARSON PUBLISHERS

Statement of Retained Earnings

For the Year Ended December 31, 2021

($ in millions)

Retained earnings, January 1 $ 210

Add: Net income  78

Deduct: Cash dividend  (22 )

Stock dividend (1 million shares of $1 par common stock)  (13 )

Property dividend (Garfield Company preferred stock held

as a short-term investment)  (10 )

Sale of treasury stock (cost $50 million)  (8 )

Retained earnings, December 31 $ 235

Required:

For the transactions that affected Larson’s retained earnings, reconstruct the journal entries that can be used to determine cash flows to be reported in a statement of cash flows. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions (i.e., 10,000,000 should be entered as 10).)

1. Record the closing entry of net income to retained earnings.

2. Record the payment of the cash dividend.

3. Record the issuance of the stock dividend.

4. Record the issuance of the property dividend.

5. Record the sale of treasury shares.

Answer:

4 15 inches of chains

Step-by-step explanation:

Answer:

Step-by-step explanation:

On solving the provided question, we can say that - so  34 =  would be the mid value.

Iteration is the repeated use of a function or process, with the results of each step serving as the input for the subsequent iteration. Repetition is a useful technique and topic of research for issue resolution. Repeating a procedure several times is known as iteration. Examples include prime numbers, Fibonacci sequences, lengthy division, and calculator games.

The middle value in the first and second iterations, respectively, is 85 and 34.

Nine items total are in the array.

The array index therefore begins at 0 and continues until 8.

1st iteration:

median value equals  (where the index is between 0 (low) and 8 (high))

Thus, mid position equals 4.

85 will thus be the midpoint. This is contrasted with the provided key.

Iteration 2:

Once again

so  34 =  would be the mid value.

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Step-by-step explanation:

We can use the formula for the area of a rectangle, which is:

Area = length x width

In this case, we know that the area of the rectangle is 6 m² and the length is 4 m. So we can substitute these values into the formula and solve for the width:

6 m² = 4 m x width

Dividing both sides by 4 m, we get:

width = 6 m² / 4 m

Simplifying, we get:

width = 1.5 m

Therefore, the width of the piece of wood is 1.5 m.

Answer:

1.5m

Step-by-step explanation:

A=LxW

6=4xW

6=4W

6/4=W

1.5=W

Answer:

x=25

Step-by-step explanation:

hope this is correct!

Answer:

( 4,6)

Step-by-step explanation:

To move the point 2 units to left, subtract 2 from the x coordinate

V'( 6-2,3)

V'( 4,3)

Now we move it 3 units up, which means we are adding 3 to the y coordinate

V' ( 4, 3+3)

V' ( 4,6)

The new point is ( 4,6)

The area of the square is increasing at a rate of 36 cm/s2.

What is the rate of expansion of a solid?

For physics, The term "thermal expansion" refers to a material's change in length, width, height, or volume when its temperature is raised or lowered. Solids exhibit particularly noticeable thermal expansion due to their closely packed atoms. There are numerous uses for the thermal expansion of solids in daily life.

A solid's atoms vibrate more quickly around their fixed positions when it is heated. As a result, there is little relative growth in the size of solids during heating. In order to prevent buckling when exposed to heat from the sun, metal train tracks feature tiny gaps.

Calculation

L = length of a side

A = L2

dA/dt = 2L dL/dt

dL/dt = 2 cm/s

A = 81 sqcm ⇒ L = √A = √81 cm = 9 cm

dA/dt = 2(9cm)(2 cm/s) = 36 sqcm

Hence the rate is the area of the square increasing is 36sqcm

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Using the rate of change of area ,

If the area of a square is 81 cm² the area of the square increases at a rate of 36 cm²/s.

Suppose that initially there were no squares, but suddenly squares began to form at a constant rate. At the end of the first second, the sides were 2 cm long each, and at the end of the second second they were 4 cm each. Therefore, we can say that the rate of change of increasing sides is 2 cm/s. If a square has a side of S cm, this is expressed mathematically.

dS/dt = 2 cm/s ---(1)

Since we know the area of the square is given by

A=S² cm²

the derivative of the area function shows the variation of area with respect to side S

dA/dS=2S

So , when area of square is 81 cm² , its side length is 9 cm. Since we need rate of change of area w.r.t. time, we need to multiply both the sides by dS/dt .

dA/dS×dS/dt=2S×dS/dt

=> dA/dt=2S×dS/dt

=> dA/dt = 2×9 ×2 = 36 cm²/s

Hence, the required area increasing rate is 36 cm²/s.

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Answer:

8(2x-1)

Step-by-step explanation:

16x-8=8(2x-1)

Answer:

2

Step-by-step explanation:

I wrote 3 3/5 as an improper fraction

5/9*18/5

Then I solved and simplified

I got 2

Answer:

The total price to pay is $95.718.

Step-by-step explanation:

Solve for the total cost of the entrees first

$35(3) = $105

Taking off 14%, that means that the customer is only to pay

100% - 14% = 86% of the total price or 0.86 in decimal

Discounted price = $105(0.86)

Discounted price = $90.30

Lastly, add the 6% sales tax or 0.06 in decimal

Total price = $90.30(1.06)

Total price = $95.718