Write the percent as a fraction in simplest form.
36% =

Answer:

Step-by-step explanation:

If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.

Answer:

this is a function

Step-by-step explanation:

the x does not repeat itself

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The answer to the equation −0.22x + x − 0.33x is 0.11x.

The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:

−0.22x + x − 0.33x = −0.22 + 0.33x

We then subtract x from both sides of the equation, resulting in:

−0.22x − x = −0.22 + 0.33x − x

We then combine like terms on the left side of the equation, resulting in:

−1.22x = −0.55

Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:

x = 0.11

Therefore, the answer is 0.11x.

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Complete question

What is the value of -0.22+−0.33−0.22x+x−0.33x?

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

It is possible either multiply, distribute, add, or negate in mathematics. The trying to follow is how a expression is put together: Number, expression, and scientific operator The ingredients of a mathematical expression include numbers, variables, and operations (such as addition, subtraction, multiplication or division etc.) It is possible to combine expressions and phrases. An expressions, often known as an arithmetic operation, is any mathematical statement that contains variables, numerals, and a numerical operation between them. That instance, the word m there in given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the phrase 4m + 5.

given

To address this issue, we just need to determine the total or difference that yields 2x2 + 2x + 2

Option A: ( x2 + 4x -2) + (x2 - 2x - 4) = 2x2 + 2x - 6

Option B: ( x2 + 4x - 2 ) + ( x2 + 2x + 4 ) = 2x2 + 6x + 2

Option C: ( x2 + 4x - 2) - ( -x2 + 2x - 4)= x2 + 4x - 2 + x2 - 2x + 4

= 2x2 + 2x + 2

As a result, choice C is the equation that best represents the algebraic tiles since we only need to determine the total or difference.

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The complete question is:-

Select the correct answer.

Which sum or difference is modeled by the algebra tiles?

A. (-x2 + 2x + 3) − (x2 − 2x − 1) = -2x2 + 2

B. (-x2 + 2x + 3) − (-x2 + 2x + 1) = -2x2 + 2

C. (-x2 + 2x + 3) + (-x2 + 2x + 1) = -2x2 + 2

D. (-x2 + 2x + 3) + (-x2 − 2x − 1) = -2x2 + 2

Answer:

A would be correct

Step-by-step explanation:

the answer is A.

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

Data also serves as a foundation for making informed decisions. By examining relevant data, individuals and organizations can assess the potential outcomes of different choices and select the most optimal course of action.

Data-driven decision-making enables organizations to improve efficiency, identify opportunities, mitigate risks, and enhance overall performance. In fields like marketing and finance, data is extensively used for market research, customer segmentation, trend analysis, and financial forecasting.

Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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The golf ball will hit the pavement after approximately 2.165 seconds.

A function is a rule that corresponds each input value from the domain to precisely one output value from the target set (called the range).

To find when the golf ball hits the pavement, we need to find the value of t when the height h is equal to zero, since the golf ball will be at the pavement at that point.

So we can set h = 0 in the given function and solve for t:

0 = -16t² + 75

Adding 16t² to both sides, we get:

16t² = 75

Dividing both sides by 16, we get:

t² = 4.6875

t ≈ 2.165 seconds or t ≈ -2.165 seconds

Time cannot be negative, hence the unfavourable outcome can be disregarded. Therefore, the golf ball will hit the pavement after approximately 2.165 seconds.

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Answer:

here you go! i hope i could help :)

Step-by-step explanation:

The surface area of a similar cylinder with a diameter 3 cm is  8.4375π cm².

If two figures have the same shape, they are said to be comparable. In more formal terms, two figures are said to be similar if their respective angles are congruent and their corresponding side length ratios are identical.

Given a cylinder with a diameter 8 cm and a surface area 60π cm²

let the radius be  R = dia/2 = 8/2= 4 cm

and let the height be H

total surface area of cylinder  = 2πR(H + R)

60π = 2π(4)(4 + H)

4 + H = 60/8

H = 7.5 - 4

h = 3.5 cm

and a cylinder is similar to given cylinder,

let radius be r and height be h

given dia = 3 cm

r = 3/2 = 1.5 cm

since both cylinders are similar so the ratio of their height to radius is equal,

R/H = r/h

h = Hr/R

h = (3.5)(1.5)/4

h = 1.3125 cm

total surface area of cylinder  = 2πr(h + r)

total surface area of cylinder  = 2π(1.5)(1.5 + 1.3125)

the total surface area of the cylinder  = 8.4375π cm²

Hence the area of a cylinder is 8.4375π cm².

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If your doctor tells you that you are in the 30th percentile for blood pressure among US adults, your systolic blood pressure is approximately 110.24 mmHg.

In statistics, a lower bound is the smallest value that a variable can take or the smallest value of a range of values. It is typically used to define the lower end of a confidence interval or a range of possible values for a parameter.

c. To find the percentage of adults in the US who qualify for stage 1 high blood pressure, we need to find the proportion of the population with systolic blood pressure between 140 and 160. We can do this by standardizing the values using the formula:

z = (x - μ) / σ

Then, we can look up the corresponding area under the standard normal distribution curve using a z-table or calculator.

For the lower bound of 140:

z = (140 - 120) / 18 = 1.11

For the upper bound of 160:

z = (160 - 120) / 18 = 2.22

Using a standard normal table, the area under the curve between z = 1.11 and z = 2.22 is approximately 0.1359, or 13.59%. Therefore, about 13.59% of adults in the US qualify for stage 1 high blood pressure.

d. To find the systolic blood pressure corresponding to the 30th percentile, we need to find the z-score that corresponds to the 30th percentile and then use the formula:

z = (x - μ) / σ

to solve for x. We can use a z-table or calculator to find the z-score. The z-score that corresponds to the 30th percentile is approximately -0.52.

-0.52 = (x - 120) / 18

Solving for x, we get:

x = -0.52 * 18 + 120 = 110.24

Therefore, if your doctor tells you that you are in the 30th percentile for blood pressure among US adults, your systolic blood pressure is approximately 110.24 mmHg.

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The point has an x-coordinate of -4 and a y-coorindate of -1, and it is on the third quadrant.

First, remember that for a point (x, y):

For the point that is 4 units to the lefft and 1 unit down (of the origin) it is written as:

(-4, -1)

Then we can see that this point is on the quadrant III.

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

A. 0.625

B. 0

C. No

D. No

E. No

Step-by-step explanation:

We have these locations with the total of 56 as given in the question

A. Probability of landing anywhere but plain:

= 1 - probability of plain

= 1- 21/56

= 1 - 0.375

= 0.625

B. Probability of landing in a location which both a desert and a plain is the probability of a hit temperature and plain terrain. These two are independent of each other = 0

C. He cannot calculate probability of landing here because this information is not available

D. He cannot also, no information

E. Same thing here. No information

43112

its a random number

Without seeing the graph of the linear function, it is impossible to determine if Tom's answer of 12 is correct or incorrect. However, it is important to understand the concept of slope and how it is calculated for a linear function.

The slope of a linear function represents the rate at which the y-coordinate changes for each unit increase in the x-coordinate. In other words, it measures the steepness of the line. Mathematically, the slope of a line is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate between any two points on the line.

To calculate the slope of a line given its graph, one can choose any two points on the line and find the difference in their y-coordinates and x-coordinates. The slope is then the ratio of the change in y-coordinates to the change in x-coordinates. This can be expressed as:

slope = (change in y-coordinate) / (change in x-coordinate)

Now, if Tom has correctly identified two points on the line and calculated the difference in their y-coordinates and x-coordinates, and if he has obtained a ratio of 12 for the change in y-coordinate to the change in x-coordinate, then his answer of 12 for the slope would be correct.

However, it is also possible that Tom made an error in his calculation, or that he misread the graph, and obtained an incorrect answer. Therefore, it would be necessary to verify his calculations by checking the points he used and the formula he applied.

In conclusion, without further information about the graph of the linear function and the points chosen by Tom to calculate the slope, it is impossible to determine if his answer of 12 is correct or incorrect.

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1. After constructing the function according to the question, Q(t) = \(35e^{\frac{-ln2}{20}t}\).

2. It will take 50 hours for the amount of Diazepam left in the body to reach 7 mg.

What is a function?

Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function of the domain and codomain, respectively. Examples include f(x) = x/2 ("f of x equals x split by 2") ("f of x equals x divided by 2") Every input "x" has a single output "x/2," which makes it a function: • f(2) = 1.

Solution explained:

According to the question,

Q(t) = \(Pe^{rt}\)

The half-life of Diazepam is 20 hours = t

Q(0) = p = 35 { the initial value}

Q(20) = \(35e^{20r} = \frac{1}{2} X 35\)

          =  \(e^{20r} = \frac{1}{2}\)

          = \(20r = -ln2\)

          = \(r = \frac{-ln2}{20}\)

Therefore, Q(t) = \(35e^{\frac{-ln2}{20}t}\)

Now, Let

Q(t) = 7

\(35e^{\frac{-ln2}{20}t}\) = 7

\(e^{\frac{-ln2}{20}t} = \frac{1}{5}\)

\({\frac{-ln2}{20}t} = -ln5\)

After calculating,

t = 50 (hours)

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Hi 

let call "a number" X.

then we have: 4-13X = X + 8 ..

In a rational function, m(c), we can write it in a factored form as:

Where i1, i2 ... are the c-intercepts (the zeros of the functions) and a1, a2, ... are the vertical asymptotes of the function.

A we will get from m(0) = at the end.

Since we have the vertical aymptotes c = 6 and c = -6, then, the denominator is:

And, since we have the c-intercepts (1, 0) and (-5, 0), that is, c = 1 and c = -5, the numerator is:

We only need to figure "A" out now.

Since we know that m(0) = 9, we have:

This will end in the rational function:

Answer:

The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is 2lw + 2lh + 2wh, where l is the length, w is the width and h is the height.

In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of 2(7) (3.6) + 2(7) (2.4) + 2(3.6) (2.4), which simplifies to 50.4 + 33.6 + 17.28, or 101.28 square centimeters.

So, the surface area of this rectangular prism is 101.28 square centimeters.

Received message. The surface area of a rectangular prism is calculated by adding the areas of all six faces. The formula for the surface area of a rectangular prism is `2lw + 2lh + 2wh`, where `l` is the length, `w` is the width and `h` is the height. In this case, the length is 7 cm, the width is 3 and three-fifths cm (or 3.6 cm), and the height is 2 and two-fifths cm (or 2.4 cm). Plugging these values into the formula gives us a surface area of `2(7)(3.6) + 2(7)(2.4) + 2(3.6)(2.4)`, which simplifies to `50.4 + 33.6 + 17.28`, or **101.28 square centimeters**. So, the surface area of this rectangular prism is **101.28 square centimeters**.

Step-by-step explanation:

The best name for this shape is rectangle. There are two sets of parallel sides and two pairs of equal opposite sides in every rectangle.

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Answer:

W is 9

Step-by-step explanation:

18+4w=6w

   -4w-4w

18=2w

/2 /2

w=9

Answer:

w = 9

Step-by-step explanation:

18+4w=6w

Rearrange terms

4w + 18 = 6w

Subtract 18 from both sides of the equation

4w+18-18=6w-18

Simplify

4w = 6w-18

Subtract 6w from both sides of the equation

4w-6w=6w-18-6w

Simplify

-2w=-18

Divide both sides of the equation by the same term

-2w/-2=-18/-2

w = 9

[RevyBreeze]

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Answer:

y = -2x -3

Step-by-step explanation:

slope intercept form: y=mx+b

find slope or m:

m= y2-y1 / x2-x1

after plugging in values.. u get..

m= -2

further plug in one point in the slope intercept form.

you get ...

b= -3

Final plug into equation:

y = -2x -3

Answer:

-------------------------

Initial value of the toy is €450.

After 10% increase the value is:

After further 10% decrease the value becomes:

The final value of the toy is €445.50.

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

What is inequality?

An inequality is a mathematical statement that shows the relationship between two values where one value is either greater than or less than the other value. It is represented by symbols such as >, <, ≥, or ≤. For example, if x is a variable and we want to express that x is greater than 5, the inequality would be written as x > 5.

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) To graph the region, we can plot the lines that define the inequalities and shade the area that satisfies all of them.

c) Solving the system of inequalities graphically, we find the maximum number of machines that can be installed is 11 (6 small and 5 large).

d) To find the maximum profit, we need to substitute the number of machines into the profit equation. P = 250,000X + 300,000Y. Plugging in X = 6 and Y = 5, we find the maximum profit to be 2,500,000.

Hence,

a) X >= 4 and Y >= 5, 2X + 3Y <= 30 and 4X + 8Y <= 72

b) We have drawn the graph.

c) The maximum number of machines that can be installed is 11.

d) The maximum profit is 2,500,000.

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