A student worked 53 hr during a week one summer. The student earned $5.30 per hour for the first 40 hr and $7.95 per hour for overtime How much did the student earn during the week?

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

B

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

According to the information, we can infer that Mazibane must pay R3640 into the account on 30 June to have no debt.

To calculate the amount Mazibane must pay on 30 June to have no debt in the account, we need to consider the initial debt, the interest, and the previous payment.

Initial Debt:

Interest Calculation:

Previous Payment:

To determine the remaining debt on 1 June, we subtract the payment from the initial debt:

From 1 June to 30 June, a period of one month, interest is charged on the remaining debt.

To calculate the interest for one month, we use the formula:

where the principal is the remaining debt, the rate is the monthly interest rate (16%/12), and the time is the number of months (1).

To find the total debt on 30 June, we add the remaining debt on 1 June and the interest for one month:

To have no debt on 30 June, Mazibane must pay the total debt amount:

Calculating the interest and summing up the values, we find that Mazibane must pay approximately R3640 into the account on 30 June to have no debt.

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The mean should be calculated for data sets A, B, C, and D.

It is useful to take into account the nature of the data and any potential outliers when deciding whether to choose the mean or the median as the measure of center in a data set.

When the data is symmetrically distributed with no major outliers, the mean is usually a better choice. It affects extreme values and gives an indication of the average value.

The median, on the other hand, is often preferred when the data is skewed or contains outliers. It represents the middle value when the data is ordered, and it is less affected by extreme values.

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Answer:

Power of a quotient

The probability that the sample mean is more than 47 is approximately 0.1841 or 18.41%.

To find the probability that the sample mean is more than 47, we can use the properties of the normal distribution and the Central Limit Theorem.

Given that the population distribution is normal with a mean of 45 and a standard deviation of 22, we know that the distribution of the sample means will also be normal, with the same mean but a smaller standard deviation.

The standard deviation of the sample means, also known as the standard error, can be calculated by dividing the population standard deviation by the square root of the sample size.

In this case, the standard error is 22 / √29.

To find the probability that the sample mean is more than 47, we need to calculate the z-score for the value 47, using the formula z = (x - μ) / σ, where x is the value we are interested in, μ is the mean, and σ is the standard error.

z = (47 - 45) / (22 / √29) = 2 / (22 / √29) = 0.908

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 0.908.

This probability represents the area under the curve to the right of the z-score.

P(Z > 0.908) ≈ 1 - 0.8159 ≈ 0.1841

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Answer:

-90x Mark Me Brainlest Please

Step-by-step explanation:

\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors

As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.

In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.

However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.

Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.

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To prove that the pizza fits inside the box we need the formula for the area of a square, to identify the area of the box and to know if the pizza fits inside the box.

To calculate the area of a square we must apply the following formula:

According to the above, if we have a pizza with a radius of 30cm, its area would be:

So we would need a box with a side length of at least 30cm. Its area would be:

30cm × 30cm = 900cm²

So for a 706.5cm² pizza, we need a 900cm² box.

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Answer:

there are 12

Step-by-step explanation:

24/2 = 12 that means that there are 12 cycles per stand

Answer: 12 cycles

Step-by-step explanation:

Answer:

  x ≈ 2.09590327429

Step-by-step explanation:

You want the solution to 3^x = 10 using logarithms.

Taking logarithms of both sides of the given equation, we have ...

  x·log(3) = log(10)

Dividing by the coefficient of x gives ...

  x = log(10)/log(3)

  x ≈ 2.09590327429

__

Additional comment

If the logarithm to the base 10 is used, then this becomes ...

  x = 1/log₁₀(3)

The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.

For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.

<95141404393>

The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).

Taking the log of both sides, we get:

log(3^x) = log(10)

Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:

x * log(3) = log(10)

Next, we can divide both sides of the equation by log(3) to isolate the variable x:

x = log(10) / log(3)

Using a calculator, we can evaluate the right side of the equation:

x ≈ 1.46497

Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.

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Answer:

x = -3

Step-by-step explanation:

−5x = 15

-5x/-5 = 15/-5

x = -3

If the x-intercept is 3, the point passes through (3,0).

So, the slope is \(\frac{1-0}{2-3}=-1\).

Thus, the equation is \(y-1=-(x-2)\).

Answer:

Step-by-step explanation:

y+0=-1(x-3)

Answer:

the answer is B

Step-by-step explanation:

hoped I helped:)

1. The initial mass of the sample was 32 mg. 2. The mass of the sample 7 weeks after the start is approximately 0.162 mg.

An unstable atomic nucleus releases particles or electromagnetic radiation as it undergoes radioactive decay, changing into a different nucleus. Since this process is unpredictable and spontaneous, the decay's timing cannot be anticipated. The radioactive substance's half-life, or the amount of time it takes for half of its radioactive atoms to decay, is used to calculate the rate of decay. Radiometric dating, nuclear energy production, and medical imaging all employ radioactive decay, which can cause the emission of alpha particles, beta particles, or gamma rays. Understanding the behaviour of matter at the atomic and subatomic level requires knowledge of radioactive decay.

1. The radioactive decay is given by the formula:

\(N(t) = N_0 * (1/2)^{(t/T)}\)

Now, for half-life of Palladium-100 is 4 days and t = 16 and N(t) = 2 we have:

\(2 = N_0 * (1/2)^{(16/4)}\\2 = N_0 * (1/2)^4\\2 = N_0* 1/16\\N_0 = 2 * 16\\N_0 = 32 mg\)

2. Foe 7 weeks:

7 weeks = 7 * 7 days = 49 days.

\(N(49) = N_0 * (1/2)^{(49/4)}\\N(49) = 32 * (1/2)^{(49/4)}\\N(49) = 0.162 mg\)

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Answer:

12. The probability of selecting a spade or a six: There are 13 spades and four sixes in a standard deck of 52 cards. However, one of the cards (the six of spades) is counted twice. Therefore, the total number of cards that are either spades or sixes is 13 + 4 - 1 = 16. So, the probability of selecting a spade or a six is 16/52 = 4/13.

13. The probability of selecting a black card or a jack: There are 26 black cards and four jacks in a standard deck of 52 cards. However, two of the cards (the jack of clubs and the jack of spades) are counted twice. Therefore, the total number of cards that are either black cards or jacks is 26 + 4 - 2 = 28. So, the probability of selecting a black card or a jack is 28/52 = 7/13.

14. The probability of selecting a seven or a face card: There are four sevens and 12 face cards (which include jacks, queens, and kings) in a standard deck of 52 cards. However, three of the cards (the jack, queen, and king of hearts) are counted twice. Therefore, the total number of cards that are either sevens or face cards is 4 + 12 - 3 = 13. So, the probability of selecting a seven or a face card is 13/52 = 1/4.

15. The probability of selecting a face card or a queen: There are 12 face cards and four queens in a standard deck of 52 cards. However, one of the cards (the queen of hearts) is counted twice. Therefore, the total number of cards that are either face cards or queens is 12 + 4 - 1 = 15. So, the probability of selecting a face card or a queen is 15/52 = 15/52.

16. The probability of selecting a four or a king: There are four fours and four kings in a standard deck of 52 cards. However, one of the cards (the king of hearts) is counted twice. Therefore, the total number of cards that are either fours or kings is 4 + 4 - 1 = 7. So, the probability of selecting a four or a king is 7/52 = 1/7.

Answer:

Option 4

Step-by-step explanation:

The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).

hope this helps :)

Answer:

no

Step-by-step explanation:

Answer:

no because puffy cheetos are better

Step-by-step explanation:

crunchy=bad

Answer:

Step-by-step explanation:

A complex number is a number that contains a real part and an imaginary one .

Mathematical expression : a+bi xhera a and b are real numbers and i the solution of an equation like x²) -1 ..

Answer:a complex number is a number that can be shown in a form a+bi when a and b are real numbers and i is the answer to the equation x^2=-1

Answer:

this game needs step to step explanation

No, the given ordered pair is the solution of the given equation.

A solution to an equation is a number that can be plugged in for the variable to make a true number statement.

Given is an equation, 3x-y = -19

Putting x = -5 and y = 6, we get,

3*-5-6

= -15-6

= -21 ≠ -19

∵ LHS ≠ RHS  

Hence, No, the given ordered pair is the solution of the given equation.

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15 tan x= 5 square root 3​

then

tan x = √3• 5/15 = √3/3

Then x = 30°

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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The value of a in the equation given as a+3 divided by b =c is a = bc - 3.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe a scenario

From the information, a+3 divided by b =c. We have to make a the subject of the formula. This will be:

a + 3 / b = c

Cross multiply

a + 3 = bc

Subtract 3 from both sides

a + 3 - 3 = bc - 3

a = bc - 3

Therefore, a = bc - 3.

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Answer: 10.361

Step-by-step explanation:

Answer:

37.68

Step-by-step explanation:

Formula for finding the circumference of a circle is C = 2πr

If you substitute the numbers in you should get 37.68.

Step-by-step explanation:

Given: To make smallest 3-digit number of 825.

To find: The smallest 3-digit number of 825.

Solution: We can make the smallest 3-digit number of 825 by separating the numbers and arranging it to ascending order. The given number is 825. ...

Final answer: The smallest 3-digit number of 825 is 258.

hope it helps

Answer:

258

Step-by-step explanation:

We are given 3 numbers:

8 2 5

And we are asked to find the smallest 3 digit number using those 3 digits above.

To make the smallest number, place the numbers in value from least to greatest:

2 5 8

This is your 3 digit number: 258.

Hope this helps! :)