$75000 a year is how much an hour?

Since we are looking for the speed you ran back home, which is r - 3, we can discard the solution of 1.8 (which would give a negative speed) and conclude that you ran back home at a speed of 2.8 miles per hour slower than your speed on the way to the park.

Speed is a measure of how fast an object is moving. It is defined as the distance traveled by the object per unit of time. The most common unit of speed is meters per second (m/s), but other units like kilometers per hour (km/h) and miles per hour (mph) are also used.

Speed is a scalar quantity, which means it only has a magnitude (i.e., the numerical value) and no direction. For example, if a car is traveling at a speed of 60 km/h, we only know how fast it is moving, but we don't know in which direction it is traveling.

Average speed is calculated by dividing the total distance traveled by the time taken to travel that distance. Instantaneous speed is the speed at a particular instant in time and can be found by calculating the rate of change of position with respect to time.

Speed can be influenced by several factors, such as the distance traveled, the time taken to travel that distance, and the presence of obstacles or resistance.

a. The total time you ran can be calculated by adding the time it took you to run to the park and the time it took you to run back home. Let's assume that you ran at a constant speed of "r" miles per hour. Then:

Time to run to the park = Distance / Speed = 18 / r

Time to run back home = Distance / Speed = 15 / (r - 3)

Total time = 18 / r + 15 / (r - 3)

b. To find how fast you ran back home, we can set up an equation using the information given:

Distance = 15 miles

Speed = r - 3 miles per hour (since you were 3 miles per hour slower on the way back)

Time = Distance / Speed

15 / (r - 3) = Time it took to run back home

We don't have enough information to solve for r directly, but we can simplify the equation by multiplying both sides by (r - 3):

15 = Time x (r - 3)

Now we can substitute the expression for the total time we found in part a:

[tex]15 = (18 / r + 15 / (r - 3)) x (r - 3)[/tex]

Expanding and simplifying:

[tex]15r(r - 3) = 18(r - 3) + 15r15r^2 - 45r = 18r - 54 + 15r15r^2 - 48r + 54 = 0[/tex]

Dividing both sides by 3:

5r^2 - 16r + 18 = 0

Using the quadratic formula:

[tex]r = [16 \± \sqrt{(16^2 - 4 \times 5 \times 18)] / 10}r = [16 \± 2] / 10r = 1.8 or 2.8[/tex]

Since we are looking for the speed you ran back home, which is r - 3, we can discard the solution of 1.8 (which would give a negative speed) and conclude that you ran back home at a speed of 2.8 miles per hour slower than your speed on the way to the park.

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Derek bought a house for £140,000 and sold it for £145,500. To work out Derek's percentage profit, we need to use the formula:

Profit percentage = (Profit / Cost price) x 100%

Where:

In this case, Derek's profit is:

Substitute the values into the formula:

Therefore, Derek's percentage profit is 3.93%.

~ Zeph

1/4 girl string players.

multiply the fractuon to obtain the answer.

(2/5) x (5/8) = total

10/40 = 1/4

you can check intuitively by confirming this number is less than total string players.

2/5 is 40% of students play string.

1/4 is 25% students are girls that play string.

and 5/8 is slightly larger than half. which confirms the same.

Answer:1. a+b/a-b

2. 8/x-y

3. 2q+p/pq^2

Don’t know how to do the last two sorry

Step-by-step explanation:

The IQR measures the spread of the middle 50% of the data.

Without knowing the actual values of the fuel economy ratings or the summary statistics, we cannot provide an exact answer. However, we can make some general observations about the effects of removing an extreme outlier on the standard deviation and the interquartile range (IQR).

First, the standard deviation measures the spread of the data around the mean. Removing an extreme outlier that is far from the mean could potentially decrease the standard deviation, as the remaining values may be more tightly clustered around the mean. However, the effect on the standard deviation will depend on the exact values of the data points and how much they vary from the mean.

Second, the IQR measures the spread of the middle 50% of the data. Removing an extreme outlier that is far from the bulk of the data may not have a significant effect on the IQR, as the remaining.

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x - 2x + 4 = -x + 4

Simplification of the expression x - 2x + 4.

D. -x + 4

4x - 3 - 6x + 2 = -2x - 1

Simplification of the expression 4x - 3 - 6x + 2.

B. -2x - 1

-2(x + 4) = -2x - 8

Simplification of the expression -2(x + 4).

-2x - 8

(12x - 6) = 6(2x - 1)

Simplification of the expression 12x - 6.

N/A (This expression is not listed as one of the options.)

3(x + 2) + 4 = 3x + 10

Simplification of the expression 3(x + 2) + 4.

C. 3x + 10

What is simplification?

In mathematics, simplification refers to the process of reducing an expression to its most basic or compact form by combining like terms, factoring, and applying various rules and properties of arithmetic and algebra.

Simplification is often used to make an expression easier to understand, to solve an equation or system of equations, or to identify patterns or relationships in mathematical models.

The goal of simplification is to reduce an expression to its simplest and most concise form without changing the underlying meaning or value of the expression.

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The given figure has a total area is 64 square inches, which has four triangles and one rectangle.

The area of a rectangle is represented as the product of the length and width.

The figure will have four triangles and one rectangle.

Here combined area of triangles = (1/2 x 4 x 4) x 4 = 32 square inches

The triangles have a combined area of 32 square inches.

The rectangle has an area = 8 x 4 = 32 square inches.

The figure has a total area = 32 + 32 = 64 square inches.

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The missing figure has been attached below.

Answer:

28 daisies

Step-by-step explanation:

4:2 = daisies:carnations

4:6 = daisies:total flowers

4/6 = x/42    x=number of daisies

6x = 4(42) = 168

x = 168/6 = 28

y = number of carnations = 42 - 28 = 14

Double check the answer:

28/14 = 4/2    ratio is correct!

Answer: 50 meters

Perimeter = 2W x 2L OR W+W+L+L (the measurement of all sides of a shape)

Width = 9 meters

Length = 16 meters

9(2) + 16(2) = 50 meters

Answer:

1. y = 4x^2-4x+5 does not cross the x axis

2. C has imaginary roots

Step-by-step explanation:

See attached worksheet.

Answer:

I think 6.5 % tax.

Step-by-step explanation:

Answer:

Mary was charged a 6% tax

Step-by-step explanation:

To find the percentage tax Mary was charged, we need to determine the amount of tax she paid and then calculate that as a percentage of the original purchase price.

We know that the total bill after tax was $25.44, and the purchase price before tax was $24, so the tax paid must be:

$25.44 - $24 = $1.44

To find the percentage tax charged, we need to divide the tax paid by the original purchase price, then multiply by 100 to express the answer as a percentage:

($1.44 / $24) x 100% ≈ 6%

Therefore, Mary was charged a 6% tax.

Answer:

The range is (7, 11)

Step-by-step explanation:

domain is x

range is y

so when you graph it, it's from the bottom 7 to 11

so, (7, 11)

Quadrilateral MNOP is similar to quadrilateral QRST. The measure of side RS is approximately 39.2 units.

If two quadrilaterals are similar, their corresponding sides are in proportion. Therefore, we can set up a proportion between the corresponding sides of quadrilaterals MNOP and QRST as follows:

MN / QR = NO / ST = OP / RS

We are given the lengths of MN, NO, and OP, but we need to find the length of RS. We can solve for RS by rearranging the proportion as follows:

OP / RS = MN / QR

RS = OP / (MN / QR)

We can substitute the given values to get:

RS = 58 / (19 / 13)

Simplifying this expression gives:

RS = 58 * (13 / 19) = 39.241 ≈ 39.2

Therefore, the measure of side RS is approximately 39.2 units.

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____The given question is incomplete, the complete question is given below:

Quadrilateral MNOP is similar to quadrilateral QRST. Find the measure of side RS. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale. QT =58, PM= 19 ON=13.

Both a frequency table and a frequency distribution are tools used to organize and summarize data, particularly in statistical analysis. They both display the frequency or count of occurrences of each unique value or category in a dataset.

The main difference between a frequency table and a frequency distribution is the type of data they are used to summarize. A frequency table is typically used to display the frequency of occurrence of qualitative or categorical data. It lists the categories or classes of data and the number of observations that fall into each category. For example, a frequency table could display the number of students in a class that received an A, B, C, D, or F grade in a course.

On the other hand, a frequency distribution is typically used to display the frequency of occurrence of quantitative or numerical data. It groups the data into classes or intervals and lists the number of observations that fall into each class or interval. For example, a frequency distribution could display the number of times a coin toss resulted in 0, 1, or 2 heads in a series of 10 tosses.

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The characteristics of a data set are enumerated by descriptive statistics. You can test a hypothesis or determine whether your data can be applied to a larger population by using inferential statistics.

To summarize a given data set, which may be a sample of a population or a representation of the entire population, brief informational coefficients known as descriptive statistics are used.

The two primary subcategories of descriptive statistics are measures of central tendency and measures of variability (spread). Descriptive statistics are thus used to summarize the data. Descriptive statistics can only ever make claims about the data set from which they were derived, using only the data that you have.

Statistical inference is the process of determining characteristics of an underlying probability distribution through the use of data analysis. Inferential statistical analysis, for instance, infers characteristics of a population by testing hypotheses and producing estimates.

Inferential statistics looks to identify some characteristic or overarching pattern about a large group through the study of a smaller sample size in the hopes that the results will apply to the larger group.

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I am to believe the answer is Yes because you add the exponents

Answer:

Step-by-step explanation:

Let's say for the sake of argument that this pizza is cut into 18 slices. That means, according to the problem, that each slice has 1/6 oz of cheese on it.

[tex]\frac{1}{6}*18=3[/tex] ounces of cheese for the whole pizza.

The variable V represents Victoria's age and the variable D represents her dad's age.

Equation is a physical and mathematical statement that describing physical phenomena and the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable may be pointed such as your energy.

The equation that relates Victoria's age (V) to her dad's age (D) when Victoria is 18 years old is:

D = V + 18

The variable V represents Victoria's age and the variable D represents her dad's age.

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Answer:

Step-by-step explanation:

first step you want round that into decimal

The coordinates of C are (-6, -3)

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

A = (-9, -5)

B = (6, 5)

m : n = 1 : 4 i.e. 1/5

The coordinate is then calculated as

C = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have

C = 1/5 * (1 * 6 + 4 * -9, 1 * 5 + 4 * -5)

Evaluate

C = (-6, -3)

Hence, the coordinate is (-6, -3)

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Answer:

exponential decay

Step-by-step explanation:

because the value that is being multiplied 0.85 is less then 1 then the value decreases.

Ex. when x=0, y=2770, then when x=1, y=2770(0.85) = 2354.5...

If Diego makes 10 sandwiches, he will have only 4 slices of cheese left over.

What is Linear equation ?
A linear equation is an algebraic equation in which the highest power of the variable(s) is 1. In other words, it is an equation that represents a straight line on a graph.

The general form of a linear equation with one variable is:

ax + b = 0

Explanation:
The number of slices of cheese Diego uses to make x sandwiches is equal to 2x (since he uses 2 slices of cheese for each sandwich). If he starts with a package of cheese that has 24 slices, then the number of slices of cheese remaining, y, after making x sandwiches is:

y = 24 - 2x

This equation shows that the number of slices of cheese remaining depends on the number of sandwiches Diego makes. As he makes more sandwiches, he will use more cheese and the number of slices of cheese remaining will decrease.
To clarify, the equation is:

y = 24 - 2x

where y represents the number of slices of cheese remaining, and x represents the number of sandwiches Diego makes.

For example, if Diego makes 5 sandwiches, then the number of slices of cheese he uses is 2 times 5, or 10. The number of slices of cheese remaining would be:

y = 24 - 2(5) = 24 - 10 = 14

So, if Diego makes 5 sandwiches, he will have 14 slices of cheese left over.

Similarly, if Diego makes 10 sandwiches, then the number of slices of cheese he uses is 2 times 10, or 20. The number of slices of cheese remaining would be:

y = 24 - 2(10) = 24 - 20 = 4

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Answer:

Step-by-step explanation:

f(x)=2(3^x)+1

f(2)=2(3^2)+1

f(2)=2(9)+1

f(2)=18+1

f(2)=19

The atomic number of an element always indicates the following: B. the number of protons in an atom.

In Chemistry, a chemical element can be defined as a pure substance that comprises atoms having the same atomic number (number of protons) in its nuclei and as such, it is the primary constituent of matter.

Mathematically, mass number is represented by this mathematical expression:

A = Z + N  or [tex]^A_ZC[/tex]

Where:

In conclusion, the number of protons is also referred to as an atomic number.

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Answer:

34/5

Step-by-step explanation:

The probability of at least one appearance in a 21-alternate period is 0.969803

(a) The appearance  rate is 10 passengers nanosecond , so the anticipated number of advents  in nanosecond is also 10. The probability of no advents  in one minute is given by the Poisson distribution with parameter lambda = 10:

P(X = 0) = [tex]e^{(-lambda)}[/tex] [tex]lambda^{0}[/tex] / 0! =  [tex]e^{(-10)}[/tex]* [tex]10^{0}[/tex] / 1! = 0.000045 (rounded to 6 decimal places)

Therefore, the probability of no arrivals in one-minute period is 0.000045.

(b) To compute the probability that three or fewer passengers arrive in one-minute period, we can use the cumulative distribution function (CDF) of the Poisson distribution:

P(X <= 3) = sum from i=0 to 3 of P(X = i)

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

= [tex]e^{-10}[/tex] *[tex]10^{0}[/tex] / 0! + [tex]e^{(-10)}[/tex] * [tex]10^{1}[/tex]/ 1! + [tex]e^{(-10)}[/tex] * [tex]10^{2}[/tex] / 2! + [tex]e^{(-10) }[/tex]* [tex]10^{3}[/tex]/ 3!

= 0.010336 (rounded to 6 decimal places)

Therefore, the probability that three or fewer passengers arrive in one-minute period is 0.010336.

(c) The arrival rate is 10 passengers per minute, which is equivalent to 10/60 = 1/6 passengers per second. Therefore, the expected number of arrivals in a 21-second period is (1/6) * 21 = 3.5 passengers. The probability of no arrivals in a 21-second period is given by the Poisson distribution with parameter lambda = 3.5:

P(X = 0) = [tex]e^{(-lambda)}[/tex] * l[tex]lambda^{0}[/tex] / 0! = [tex]e^{(-3.5)}[/tex] * [tex]3.5^{0}[/tex]/ 1! = 0.030197 (rounded to 6 decimal places)

Therefore, the probability of no arrivals in a 21-second period is 0.030197.

(d) The probability of at least one arrival in a 21-second period is equal to 1 minus the probability of no arrivals:

P(at least one arrival) = 1 - P(no arrivals)

= 1 - 0.030197

= 0.969803 (rounded to 6 decimal places)

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Step-by-step explanation:

The prime factor of the 144 is 24 x 32. The exponents in the prime factorisation are 4 and 2. Add the number 1 with the exponents and multiply it. (4+1)(2+1) = 5 x 3 = 15.

The value of x is given as follows:

59º.

To obtain the value of x, we must consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angles for the triangle in this problem are given as follows:

Hence the value of x is obtained as follows:

35 + 96 + x = 180

x = 180 - 131

x = 59º.

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80 kilograms is equivalent to around 176.37 lbs.

Use the formula below to convert 80 kilograms' (kg) to pounds (lbs.):

1 kilograms = 2.20462 pounds

So, you may multiply 80 by 2.20462 to convert 80 kg to lbs:

80 kg x 2.20462 pounds/kg = 176.3696 lbs (rounded to four decimal places)

The term "lb" stands for pounds, a weight unit that is frequently employed in the United States and in other nations that use imperial units. The approximate weight of a pound in kilos is 0.4536. (kg).

The International System of Units' basic unit of mass, the kilogram, is denoted by the notation "kg" (SI). The standard unit for measuring mass or weight in the majority of nations is the kilogram. A kilogram is about equivalent to 2.20462 pounds (lbs).

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r

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Answer:

19.72

Step-by-step explanation: