a kite is held by a taut string pegged to the ground. the string is 40 feet long and makes a 33 degree angle with the ground. supposing that the ground is level, find the vertical distance from the ground to the kite.

Amount Luigi received per day is $3,384.4 and Amount Luigi received per hour is about $141

Profit is the difference between the revenue that an economic entity has received from its outputs and the total cost of its inputs.

The amount Mario invests = $500,000

Amount Luigi invests = $350,000

The ratio in which the profit was split after their first year = Within the same ratio of their initial investments

The amount of profit made by the business = $3 million

The ratio of their initial investment = 500,000 : 350,000 = 10 : 7

Therefore, the ratio in which the profit is split = 10 : 7

The amount Luigi received in a year = (7/(10 + 7)) × 3 = 1235294 2/17

The time unit conversion from year to day is presented as follows;

Number of days in a year = 365 days

The amount Luigi received per day = (1235294 2/17)/365 = 3384 456/1241

= 3384.4

The amount Luigi received per day = $3,384.4

b) The number of hours in a day = 24 hours

Amount Luigi received per hour = (3384 456/1241)/24 = 141 19/1241

141 19/1241 = 141

The amount Luigi received per hour is about $141

Hence, amount Luigi received per day is $3,384.4

Amount Luigi received per hour is about $141

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Sergio saved at a rate of change of 34.4% when he had $500 saved for a family vacation.

The component technique is a technique of troubles where you first calculate the worth of a single item, then multiply a certain value to get the answer. Simply defined, a single product value is extracted from either a specified multiple using the one method. For contrast, 40 pens will costs you 400 rs, or $1.01. The method used to execute this might be regulated. a solitary nation. anything seems to have a distinctive component.  (Classic Algebra, Quantitative Analysis, Math and science of Matrix or Operators).

given

1% of $500 = $5

Total Saving from $500 to $ 860

860 / 5 = 172

Now percentage of growth :-

172/500 *100

17200/500 = 34.4

Hence, the rate of change Sergio savings = 34.4%

Sergio saved at a rate of change of 34.4% when he had $500 saved for a family vacation.

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The required in the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
In the equation y = 12x + 30, the independent variable is x, which represents the number of weeks. The dependent variable is y, which represents the amount of money in the savings account after x weeks.

The value of y depends on the value of x, so y is dependent on x. However, the value of x does not depend on the value of y, so x is independent.

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I think I might have an answer to your question!

To convert liters to millimeters, we need to know the density of ice cream. The density of ice cream can vary depending on the type and composition of the ice cream.

According to a source, the density of ice cream is around 0.6 g/mL on average. Therefore, 1 liter of ice cream would weigh around 600 grams or 600,000 milligrams.

With this information, we can calculate the total amount of ice cream consumed by 50 Americans in one week as follows:First, we need to convert the annual consumption from liters to milliliters:

75 liters/year * 1000 milliliters/liter = 75,000 milliliters/year

Next, we need to calculate the amount consumed in one week by one American:

75,000 milliliters/year / 52 weeks/year / 1 American = 1,442 milliliters/week/American

Finally, we can calculate the amount consumed by 50 Americans in one week:

1,442 milliliters/week/American * 50 Americans = 72,100 milliliters/weekTherefore, 50 Americans will consume 72,100 milliliters of ice cream in one week.

The volume of cylinder based on the dimensions of radius and height is 1296π m³.

The volume of cylinder can be calculated by the formula -

V = πr²h, where V refers to volume of the cylinder, r is the radius of the cylinder and h is the height of the cylinder.

Now, keeping the value of the dimensions in the formula to find the volume of cylinder.

V = π × 12² × 9

Taking square and performing multiplication on Right Hand Side of the equation

V = 1296π m³

Note that we have not kept the value of π in the formula to find the exact correct answer. Thus, the volume of 1296π m³.

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Answer:

y= 400(0.77)^x

Step-by-step explanation:

The value decreases by 23% from,400 to 308 in 1 year. so if this continues then the equation would be y=400(0.77)^x.

The 0.77 comes from decaying 23%, meaning 1-0.23 = 0.77

this is just a quick addition to the good reply above by "varnanaik"

so she bought it for 400 bucks, but hell a year later went down to 308?  Let's find the rate of depreciation

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\dotfill & \$ 308\\ P=\textit{initial amount}\dotfill &\$400\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases}[/tex]

[tex]308 = 400(1 - \frac{r}{100})^{1} \implies \cfrac{308}{400}=1-\cfrac{r}{100}\implies \cfrac{77}{100}=\cfrac{100-r}{100} \\\\\\ 77=100-r\implies r+77=100\implies r=\stackrel{ \% }{23} \\\\[-0.35em] ~\dotfill\\\\ A=400(1-\frac{23}{100})^x\implies A=400(1-0.23)^x\implies {\Large \begin{array}{llll} A=400(0.77)^x \end{array}}[/tex]

D. No, because the probability of being left-handed is greater, x must count the number of left-handed adults.

The binomial probability formula can be used to calculate the probability of a certain number of successes (or left-handed individuals) in a given number of trials (100 adults). In order for the binomial probability formula to be used, the trials must be independent, meaning that the selection of one person does not affect the selection of the next one. Since the probability of being left-handed is greater, the binomial probability formula cannot be used in this case and x must count the number of left-handed adults.

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Answer:

10 pretzels and 2 drinks

Step-by-step explanation:

2 drinks are 12

10 pretzels are 32.50

Answer:

2 drinks, 10 pretzels

Step-by-step explanation:

d = # of drinks

p = # of pretzels

1)  d + p = 12

2)  $6d + $3.25p = $44.50

solve equation 1 for d:  d = 12 - p    substitute this into equation 2 and solve for p

6(12 - p) + 3.25p = 44.50

72 - 6p + 3.25p = 44.50

-2.75p = 44.50 - 72

-2.75p = -27.50

p = -27.50/-2.75 = 10     plug this into equation 1 and solve for d

d = 12 - 10 = 2

double check the answers:  6(2) + 3.25(10) = 44.50  correct!

Answer:

The formula for the volume of a cylinder is:

V = πr^2h

where r is the radius of the cylinder and h is its height.

In this case, the radius is x+3 and the height is x+11, so we can substitute these values into the formula:

V = π(x+3)^2(x+11)

Simplifying this expression, we have:

V = π(x^2 + 6x + 9)(x+11)

V = π(x^3 + 17x^2 + 69x + 99)

Therefore, the volume of the cylinder with radius x+3 and height x+11 is π(x^3 + 17x^2 + 69x + 99) cubic units.

The key feature that is NOT present in the function h(x) is "The x-intercept of h(x) is (5, 0)".

To find the x-intercept of a function, we need to set the y-value to 0 and solve for x. In the case of h(x), we have two different equations for different ranges of x:

h(x) = (x - 5)² when 0 ≤ x ≤ 4

h(x) = -log₄(x + 6) when x > 4

Setting the first equation to 0 and solving for x, we get:

0 = (x - 5)²

0 = x - 5

x = 5

However, this value of x does not fall within the range of 0 ≤ x ≤ 4, so it is not a valid x-intercept for this equation.

Setting the second equation to 0 and solving for x, we get:

0 = -log₄(x + 6)

log₄(x + 6) = 0

4⁰ = x + 6

1 = x + 6

x = -5

This value of x also does not fall within the range of x > 4, so it is not a valid x-intercept for this equation either.

Therefore, the function h(x) does not have an x-intercept of (5, 0), and this is the key feature that is NOT present in the function.

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Answer: The fact of being correct and without any mistakes:

Step-by-step explanation: Hope this helps!

2) The probability that in a cricket match, a batswoman did not hit a boundary, when she hits it 6 times out of 30 balls played, is 80%.

3) The probability of a family having:

i) 2 girls = 31.67%

ii) 1 girl = 54.27%

iii) No girl = 14.06%

iv) The sum of the probabilities = 1 or 100%

The probability refers to the likelihood that an expected event or outcome occurs when there are many possible outcomes.

We compute probability as the quotient of the the expected success and the total number of successes.

Probability lies between zero and one and is usually expressed as a decimal, fraction, or percentage.

The number of boundary hits = 6

The total number of balls the batswoman played = 30

The probability that the batswoman did not hit a boundary = 1 - 6/30

= 0.8 or 80%.

The chance that the batswoman hit a boundary = 6/30 = 0.2 or 20%.

The total number of families with 2 children = 1,500

The number of families with 2 girls = 475

The number of families with 1 girl = 814

The number of families with 0 girl = 211

The probability of a family having:

i) 2 girls = 475/1,500 = 0.3167 or 31.67%

ii) 1 girl = 814/1,500 = 0.5427 or 54.27%

iii) No girl = 211/1,500 = 0.1406 = 14.06%

iv) The sum of the probabilities = 1 or 100%

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Percentage

48.21% approximately 50%

We got the answer by dividing the number of adults that read electronic books by the total adults

27/56 = 0.4821

we then multiply by 100 to get the percentage of needed. this gives us a decimal

48.21

which when rounded off to the nearest tenth is 50%

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Answer:

$42.12

Step-by-step explanation:

if tip is 17% then she should pay 117% (this is 1.17)

$36 * 1.17 = $42.12

No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population

A population is a group of organisms of the same species that live in the same geographic area and are capable of interbreeding. The term "population" can refer to a group of animals, plants, bacteria, or any other type of living organism.

Populations can vary in size from just a few individuals to millions or even billions. The size of a population can be influenced by a number of factors, including birth rates, death rates, immigration, and emigration.

Populations also have characteristics that define their genetic makeup, such as the frequency of particular alleles or genes. This genetic diversity can influence the ability of a population to adapt to changes in its environment or to recover from disturbances, such as disease outbreaks or natural disasters.

Understanding population dynamics is important for fields such as ecology, conservation biology, and public health, as it can help us to better manage and protect populations of organisms, including our own.

No, the comparison is not expected to be fair. The two groups being compared are not selected randomly from the same population, as the physical education teacher's sample only includes students from her classes, while the football coach's sample only includes students from the football team. This could lead to potential biases and differences between the groups that may not accurately reflect the general population of students at the high school. To ensure a fair comparison, both samples should be selected randomly from the same population.

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Interest earned on the cash balance in the bank is recorded by the bank as an increase in the depositor’s bank account.

A savings account is a type of account that can be opened with a bank. Savings account earn interest based on the amount of money in their account at the end of the month.

here. we have.

The interest that is earned depends on the number of withdraws, interest rate paid on deposits and the amount deposited in the account.  Deposits are recorded as a liability in the balance sheet of a bank. A liability is an obligation that has to be paid at sometime in the future.

This means that at the end of the month, the value of the money in the depositor's saving account increases by the value of interest paid.

For example, if the interest paid by a bank on deposits in a savings account is 10%. If an account has $1000 in the account, the value of the amount at the end of the month is 1,100 (1000 x 1.1).

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the volume of the sugar cone is closest to 14.14 cubic inches.

How to determine?

The volume of a cone can be calculated using the formula V = (1/3)πr²2h, where r is the radius of the base, h is the height of the cone, and π is approximately 3.14.

In this case, the diameter of the cone is 3 inches, which means the radius, r, is half of that or 1.5 inches. The height of the cone is given as 6 inches.

Plugging these values into the formula, we get:

V = (1/3)π(1.5²2)(6)

V ≈ 14.14 cubic inches

Therefore, the volume of the sugar cone is closest to 14.14 cubic inches.

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In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Without a list of options to choose from, it is difficult to determine which list Janet could have created. However, generally speaking, a list of numbers in order from greatest to least would start with the largest number and end with the smallest number.

For example:

10, 8, 5, 3, 1

In this list, 10 is the largest number and 1 is the smallest number, so it is ordered from greatest to least. Other examples could include:

-1, 2, 4, 7, 10

Therefore, In this list, 10 is the largest number and -1 is the smallest number, so it is also ordered from greatest to least.

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The number of students who travel to school by bus will be equal to 651. Hence, option "a" is correct.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

here, we have,

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

Total students in the school = 1860

Percentage of students who come by bike or walk = 45%

So,

(1860 × 45)/100 = 837

Number of students who drive to school = 372

So, the number of students traveling by school bus will be,

1860 - (837 + 372).

= 1860 - 1209

= 651

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The converted value of the 12inches to millimeters using scale factor is equal to ( 304.8 ) millimeters .

One inch is equal to 25.4 millimeters

Now multiply both the side of the expression by 12 we get,

⇒ ( 12 × 1 ) inches = ( 12 × 25.4 ) millimeters

⇒ 12 inches = ( 304.8 ) millimeters

Therefore, using the scale factor of inches to millimeter the required 12 inches is equal to 304.8 millimeters.

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Answer:

hey! you can use it!!

Step-by-step explanation:

thanks

The y-intercept of a linear function is the point at which the graph of the function crosses the y-axis. This point is represented by the coordinate (0, b), where b is the y-intercept.

In the given graph, we can see that the graph of the linear function crosses the y-axis at the point (0, -5). Therefore, the y-intercept of the graph of this function is -5.

To summarize, the y-intercept of the graph of this function is -5.

Answer: -5

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The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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The rate of $18 an hour will be approximately  $157248  for a year .

In order to find how much $18 an hour is in a year,

We need to know how many hours are present in a year.

The number of weeks in 1 year is = 52 weeks ;

and 1 week consists of 168 hours , as 1 week has 7 days and 1 day has 24 hours .

So , 1 year (52 weeks) is = 52 × 168 = 8736 hours .

We get that 1 year consists of 8736 hours ,

Now , multiplying the number of hours by $18 ,

We get ,

⇒ 8736 × 18 = $157248 .

Therefore , $18 an hour will be $157248 for a year .

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Total cost with pass = $20a

Total cost without pass = $12a + 40

According to the information

We can write a system of equations for this problem,

Equation 1:

Cost with season pass = 12a + 40

Equation 2:

Cost without season pass = 20a

Therefore,

The system of equations that represents this problem is:

12a + 40 = c  ...(i)

20a = c   ...(ii)

Now making table for it:

Cost     Number     Amount Spent    Total Cost With   Total Cost Without

Ad.          Ad.            Pass ($)               Season Pass      Season Pass

20            a                      0                        20a + 0                   20a

12             a                     40                       12a + 40                 12a + 40

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The value of volume 750 ml after converting to ounces is 25.36 ounces.

To convert 750 ml to ounces, we need to use a conversion factor. Knowing how to convert between ml and oz can help you accurately measure and mix ingredients for cooking, baking, or creating cocktails.

One fluid ounce is equal to 29.5735 milliliters. Therefore, we can multiply 750 ml by the conversion factor of 1/29.5735 to get the equivalent amount in ounces.

750 ml x (1/29.5735) = 25.36 oz

So, 750 ml is equal to 25.36 ounces.

This is a common conversion that you may encounter when dealing with liquids, especially in the United States, where ounces are the standard unit of measurement for volume.

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The conversion value of Celsius to Fahrenheit for the value 30 Celsius is equal to 86 Fahrenheit.

Relation to convert the temperature from Celsius to Fahrenheit is equal to :

°F = 9 /5 ( ° C ) + 32.

Convert 30 Celsius  to Fahrenheit by substituting the value in the formula :

= 9 /5 ( 30° ) + 32

= 9 (6° ) + 32

= 54°  + 32

= 86°F

Therefore, the converted values for the 30Celsius to Fahrenheit is given by 86 Fahrenheit.

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The value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus. Rhombi or rhombuses are the plural forms of rhombus.

Quadrilateral HGFJ is a rhombus.

GF=16 cm and m∠GHK=42°.

The diagonals of the rhombus bisect each other at the right angle.

So,

m ∠KGH = 180 - 90 - 42

m ∠KGH = 48°.

And JF = GF = 16 cm.

m ∠KGH = 48°.

And JF = GF = 16 cm.

Hence, the value of JF = 16 cm and m ∠KGH = 48° in quadrilateral HGFJ which is a rhombus.

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2.75 inches is equal to 69.85 millimeter

To convert 2.75 inches to millimeter, we can use the following formula:

1 inch = 25.4 millimeter

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in feet = conversion factor × The length in meter

Substitute the values in the equation

2.75 inches = 25.4 × 2.75

Multiply the numbers

= 69.85 millimeter

Therefore, 2.75 inches is 69.85 millimeter

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A correlation between 0 and -1 or 0 and 1 indicates a weaker correlation, but still a statistically significant one.

A correlation coefficient based on an observational study can be used to support a claim of cause and effect when the correlation coefficient is statistically significant. This means that the correlation coefficient is so strong that it is unlikely to have happened by chance, and that there is likely a causal relationship between the two variables.

Mathematically, correlation coefficients are expressed as a number between -1 and 1.

A correlation coefficient of -1 indicates a perfectly negative correlation, where as one variable increases, the other decreases, and vice versa.

A correlation coefficient of 1 indicates a perfectly positive correlation where both variables move in the same direction.

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