Round 89.83450 to the underlined place.

Answer:

CA ≈ 3.1 ft

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{CA}\) = \(\frac{2.6}{CA}\) ( multiply both sides by CA )

CA × tan40° = 2.6 ( divide both sides by tan40° )

CA = \(\frac{2.6}{tan40}\) ≈ 3.1 ft ( to the nearest tenth )

Answer:

t = -9

Step-by-step explanation:

y2-y1 over x2 - x1 = t+10 / 10

-9 + 10 = 1

1/10 is the slope

s= p+3

(number of sports drinks= s)

(pizza slices= p)

Answer:

so x = 80

Step-by-step explanation:

Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80

q - 10 = 6(r+1)

q = 6r + 1 + 10

q = 6r + 11

Answer:

Zero

Step-by-step explanation:

Average rate of change can also be called as gradient or change in the respective variable , in this case we need the average rate of change of y which has the function y = -7

Since this is a linear function and if we draw the graph of y = -7 the graph would be parallel to the x-axis, and any line parallel to the x-axis has slope of zero , hence the average rate of change of the function y = -7 is zero

Answer: it’s 77.1 plz mark me brainliest

thos was super hard to do

Step-by-step explanation:

Step-by-step explanation:

Here is your answer

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

Answer:

To find the selling price of the laptop that costs R4 200 before VAT, we need to add 15% VAT to the cost.

The VAT amount can be calculated as:

VAT = 15% of R4 200

VAT = (15/100) x R4 200

VAT = R630

The selling price including VAT will be the cost of the laptop plus the VAT amount:

Selling price = R4 200 + R630

Selling price = R4 830

Therefore, the selling price of the laptop that costs R4 200 before VAT will be R4 830 after adding 15% VAT.

One of the biggest ethical issues many marketers face today relates to consumer privacy and data protection.

In today's digital age, marketers have access to vast amounts of consumer data, including personal information and online behavior. The ethical issue arises when marketers collect, use, and share this data without adequate transparency, consent, or protection of consumer privacy. It raises concerns about invasion of privacy, unauthorized data sharing, and potential misuse of personal information for targeted advertising or other purposes.

Marketers are increasingly under scrutiny to ensure ethical practices in data collection, storage, and usage, balancing the need for effective marketing strategies with respect for individual privacy rights. Failure to address these ethical concerns can lead to loss of trust, reputational damage, and legal consequences for companies. Therefore, marketers must navigate these ethical challenges by adopting transparent and responsible data practices, respecting consumer choices, and implementing robust privacy and security measures.

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Answer:

x = y - 4

Step-by-step explanation:

"Solve for x" means to get the x all by itself on one side of the equation.

We start with:

y = x + 4

Subtract 4 from both sides of the equation.

y - 4 = x

This is the same as

x = y - 4

Now it is "solved for x" because the equation shows what x is equal to.

The 90% confidence interval for the population mean is 78.1905<x<81.8095

The formula for calculating the confidence interval is expressed as:

CI = x ± z*s/√n

Given the following parameters

mean "x" = 80

z = 1.645

s = 5.5

n = 25

Substitute

CI = 80 ± 1.645*5.5/√25

CI = 80 ± 1.8095

CI = {78.1905, 81.8095}

Hence the 90% confidence interval for the population mean is 78.1905<x<81.8095

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question 11.

The correct statement should be option C: After 3 years, Bank A will pay Benjamin $23.13 more than Bank B.

question 12:

Jenny will earn $758.11 more interest will she earn if she invests $500 at 4.25% interest, compounded annually for 10 years, than if she invests $500 at 4.25% simple interest for 10 years.

Option A is correct.

Applying the  formula for simple interest, Jenny will earn $212.50 ($21.25 per year) in interest after 10 years, which means that she will have a total of $712.50.

When we also apply  the formula for compound interest, Jenny will earn $975.61 after 10 years which means that  after 10 years, she will have a total of $1475.61.

we then find the difference  the total amounts earned in compound interest and simple interest is $1475.61 - $712.50 = $763.11, which we can  rounds down to $758.11.

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Answer

2/5 i double checked on and ixl question so good luck

Step-by-step explanation:

The answer to the experimental probability that a chocolate cupcakes will be the next one sold is 0.5, or 50%.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

we know that,

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or experiments.

In this case, the event is selling a chocolate cupcake and the total number of cupcakes sold is 15.

Since 6 out of the 15 cupcakes sold were chocolate cupcakes,

the experimental probability of the next cupcake sold being chocolate cupcakes is:

Experimental probability = Number of times event occurred / Total number of trials

Experimental probability = 6/15

Experimental probability = 0.4

Therefore, the experimental probability that the next cupcake sold will be a chocolate cupcakes  is 0.4 or 25%.

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Answer:

124679 111269 134788

Step-by-step explanation:

this is the answer

The article you mentioned, "On the Maximum of a Random Walk with Small Negative Drift," was written by Michael J. Klass and published in the Annals of Probability in 1983.

In this article, Klass explores the behavior of the maximum value attained by a random walk process that exhibits a small negative drift. A random walk is a mathematical model that describes a path formed by a sequence of random steps in either positive or negative directions. The random walk with drift incorporates a systematic tendency for the process to move in one direction over time.

The specific focus of Klass's study is on random walks with a small negative drift. He investigates the maximum value that the process reaches over a given period. The article likely delves into the behavior and properties of the maximum, such as its distribution, expected value, or fluctuations, considering the influence of the small negative drift.

The Annals of Probability is a respected journal that publishes research papers related to probability theory and its applications. Klass's article contributes to the understanding of random walks and provides insights into the behavior of their maximum values in the context of small negative drift.

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Diagonal of rectangle is changing by the rate of 4.373 in. /sec.

Rate of change (ROC) is the rate at which a variable changes over a particular period of time

To find the average rate of change, divide the change in the y-values ​​by the change in the x-values . Finding the average rate of change is especially useful for identifying changes in measurable values ​​such as average speed or average velocity.

A ratio is a special ratio in which the two terms have different units.

the calculation part is shown in the below picture attached .

so after seeing the solution we come to an answer of = 4.373 in./sec

therefore diagonal of rectangle is changing by the rate of 4.373 in. /sec

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Answer:

If you invest $4000 at 2% compounded quarterly you will make 4,694$.

Step-by-step explanation:

Answer:

$4686.64

Step-by-step explanation:

here is the function 4000(1+0.02)^8

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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Answer:

-1

Step-by-step explanation:

The simplification of the given expression\(\dfrac{cos^2 + sin^2}{cot^2 - csc^2}\) is -1.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given expression;

\(\dfrac{cos^2 + sin^2}{cot^2 - csc^2}\)

We know that

cos^2 + sin^2 = 1

Also, we know that

cot^2 - csc^2 = -1

So, putting the values

\(\dfrac{cos^2 + sin^2}{cot^2 - csc^2}\\\\\dfrac{1}{-1} = -1\)

Hence, the simplification of the given expression\(\dfrac{cos^2 + sin^2}{cot^2 - csc^2}\) is -1.

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In the given equation, we subtracted 3x from both sides, added 1 to both sides, factored out x from -3x and 2xy, and solved for x by dividing both sides by (-3 + 2y), which gave us x = (4y + 1) / (-3 + 2y).

To isolate all terms containing x on one side and factor out x from the equation 2xy + 4y = 3x - 1, we need to move all the x terms to one side of the equation and all the non-x terms to the other side.

First, we can start by subtracting 3x from both sides of the equation, which gives us:

2xy + 4y - 3x = -1

Next, we can rearrange the equation by adding 1 to both sides:

2xy + 4y - 3x + 1 = 0

Now, we can factor out x from the terms containing x, which are -3x and 2xy, as follows:

x(-3 + 2y) + 4y + 1 = 0

Finally, we can solve for x by dividing both sides by (-3 + 2y):

x = (4y + 1) / (-3 + 2y)

So, the answer in 200 words is that to isolate all terms containing x on one side and factor out x from the given equation, we first need to rearrange the equation by moving all the non-x terms to one side and all the x terms to the other side. Then, we can factor out x from the terms containing x and solve for x by dividing both sides by the resulting factor. In the given equation, we subtracted 3x from both sides, added 1 to both sides, factored out x from -3x and 2xy, and solved for x by dividing both sides by (-3 + 2y), which gave us x = (4y + 1) / (-3 + 2y).

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Answer: c

Step-by-step explanation:

Butt Koko, this is the solution:

Original price = 19.99

Sale price = 15.99

Discount = 19.99 - 15.99 = 4.00

We can use Direct Rule of Three to calculate the percent of discount, this way:

Price Percent

19.99 100

4.00 x

___________________

4 * 100 = 19.99 * x

400 = 19.99x

x = 400/19.99

x = 20.01

The approximate percent discount on the frisbee is 20%

The probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.

To find the probability of whether the sum of two fair six-sided dice is 9 or 99 or higher, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The possible outcomes when rolling two six-sided dice range from 2 (minimum sum) to 12 (maximum sum). We want to calculate the probability of getting a sum of 9 or 99 or higher.

To determine the favorable outcomes, we need to identify all the combinations of dice rolls that meet our criteria. Here are the favorable outcomes:

(3, 6) = sum of 9

(4, 5) = sum of 9

(5, 4) = sum of 9

(6, 3) = sum of 9

(6, 6) = sum of 12

Therefore, we have 5 favorable outcomes.

Now, let's calculate the total number of possible outcomes. Since each die has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes for rolling two dice is 6 * 6 = 36.

The probability of getting a sum of 9 or 99 or higher is given by:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 5 / 36

Therefore, the probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.

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1. b) Factorise ➾ y² - 20y + 100

1. d) Factorise ➾ 48 - 13p - p²

2. d) Factorise ➾ 18y² - y - 4

2. e) Factorise ➾ 4m² - 27m + 18

1. b) y² - 20y + 100

⇝ y² - 10y - 10y + 100 ( Splitting middle term )

⇝ y ( y - 10 ) - 10 ( y - 10 )

⇝ ( y - 10 )(y - 10 ) Ans.

1. d) -p² - 13p + 48

⇝ -p² - 16p + 3p + 48 ( Splitting middle term )

⇝ -p ( p + 16 ) + 3 ( p + 16 )

⇝ ( p + 16 )(3 - p ) Ans.

2.d) 18y² - y - 4

⇝ 18y² - 9y + 8y - 4 ( Splitting middle term )

⇝ 9y ( 2y - 1 ) + 4 ( 2y - 1 )

⇝ ( 2y - 1 )( 9y + 4 ) Ans.

2.e) 4m² - 27m + 18

⇝ 4m² - 24m - 3m + 18 ( Splitting middle term)

⇝ 4m ( m - 6 ) - 3 ( m - 6 )

⇝ ( m - 6 )( 4m - 3 ) Ans.

The first part of the journey took 4/3 hours (80 minutes)

The last part of the journey too 2/3 hours (40 minutes)

Here, we want to set-up equations to solve

We start by filling the table

Line 1

The rate for the first part of the race is 90 mph

The time for the first part of the race is F

Line 2

The time for the second part of the race is L

The distance (product of the rate and time) is 60L

So, adding these up give us the following equations to be added and solved below;

So, we proceed to solve these equations simultaneously

To get f, we simply substitute l into the first part of the equations;

Since an hour is 60 minutes;

This problem is a simple matter of subtraction.
We know our starting balance, which is 20. If we are buying something with our money, we are subtracting the amount we spend from the amount we have. If we're buying a DVD that costs 32 dollars, we subtract 32 from our starting balance, which is 20.

20 - 32 = -12

So, your account balance after you buy the DVD is -12. This means you are twelve dollars in debt.

Given the probabilities P(A) = 0.7, P(Ac) = 0.3, P(B|A) = 0.4, and P(B|Ac) = 0.8, the joint probabilities can be calculated as follows: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.12, and P(Ac and Bc) = 0.18.

The joint probability P(A and B) represents the probability of events A and B occurring simultaneously. It can be calculated using the formula P(A and B) = P(A) * P(B|A). Given that P(A) = 0.7 and P(B|A) = 0.4, we can multiply these probabilities to obtain P(A and B) = 0.7 * 0.4 = 0.28.

It can be calculated as P(A and Bc) = P(A) * P(Bc|A). Since the complement of event B is denoted as Bc, and P(Bc|A) = 1 - P(B|A), we can calculate P(A and Bc) as P(A) * (1 - P(B|A)) = 0.7 * (1 - 0.4) = 0.42.

Finally, P(Ac and Bc) represents the probability of both event A and event B not occurring. It can be calculated as P(Ac and Bc) = P(Ac) * P(Bc|Ac). Using P(Ac) = 0.3 and P(Bc|Ac) = 1 - P(B|Ac), we can calculate P(Ac and Bc) as P(Ac) * (1 - P(B|Ac)) = 0.3 * (1 - 0.8) = 0.18.

Therefore, the joint probabilities are: P(A and B) = 0.28, P(A and Bc) = 0.42, P(Ac and B) = 0.24, and P(Ac and Bc) = 0.18.

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Answer:

the answer is 38.5

Step-by-step explanation:

Answer: i need the fulll quetion

Step-by-step explanation: