Caleb and Emily are standing 100 yards from each other. Caleb looks up at a 45° angle to see a hot air balloon. Emily looks up at a 60° angle to see the same hot air balloon. Approximately how far is the hot air balloon off the ground? 44. 3 yd. 63. 4 yd. 73. 2 yd. 89. 7 yd.

Answer:

5/6 of the time or 50 minutes

Step-by-step explanation:

Answer:

C.(2,1,0)

Step-by-step explanation:

on edg

The solution to the following system is \((2,1,0)\).

Algebra is defined as the study of mathematical symbols and in which letters and symbols are used to represent numbers.

We have,

\(3x+3y+6z=9\)    \((i)\)

\(x+3y+2z=5\)    \((ii)\)

\(3x+12y+12z=18\)  \((iii)\)

To find the solution to the above give algebraic equations,

We have to find values of \(x,y,z\).

So,

We will be putting \(z=0\) in equation \((i)\),

\(3x+3y+6(0)=9\)

\(3x+3y=9\)    \((iv)\)

Now,

We will be putting \(z=0\) in equation \((ii)\),

\(x+3y+2(0)=5\)

\(x+3y=5\)  

\(x=5-3y\)    \((v)\)

Using equation \((iv)\) & \((v)\),

We get,

\(3(5-3y) +3y=9\)

\(15-9y+3y=9\)

\(-6y=-6\)

\(y=1\),

Now we have value of  \(y=1\), putting this value in equation  \((v)\),

\(x=5-3(1)\)

\(x=2\),

Hence, we can say that option \((2,1,0)\) is the correct answer.

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Answer:

Organic = 80pages & Non organic = 320pages.

Step-by-step explanation:

Organic:Non organic

2:8

• 2/10 x 400 = 80

• 8/10 x400= 320

Given parameters:

Ratio of organic to non-organic  = 2:8

Total number of pages in the book = 400

Unknown:

Number of pages of organic = ?

Number of pages of non-organic = ?

Ratios establishes the proportion of parts in a whole.

We can find the whole from the part and likewise the part from the whole if we know the ratio;

To solve this problem;

Sum up the ratio ; 2 + 8  = 10

Number of pages of organic = \(\frac{2}{10} x 400\)   = 80pages

Number of pages of non-organic = \(\frac{8}{10} x 400\)   = 320pages

We need 80 pages of organic and 320 non- organic pages to make up the chemistry book.

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

hi… I think it's written that way

Answer:

A

Step-by-step explanation:

So the minute hand if it goes around the entire clock (circle)  we have

360 degrees (think degrees wise) and 60 minutes (think minute wise.)

If we divide 360 degrees into 60 parts for each minute we have 360/60 = 6

degrees for each minute that passed.

From 12:12 to 12:50 we have 50-12= 38 minutes

38 minutes * 6 degrees for each minute = 228 degrees

Answer:

yass dude lets go

Answer:

Yo, thats one of my fav games...

ur sus

LOL

Answer: 2y+1

Step-by-step explanation: 10+y-9+y     1+y+y

To prevent a trademark from becoming generic, companies often utilize it as an adjective to describe the product category it belongs to, as seen with examples like Jell-O Brand Gelatin.

Trademarks are valuable assets for companies as they distinguish their products or services from those of competitors. However, if a trademark becomes generic, it loses its distinctiveness and legal protection. When a trademark becomes a common name for a particular product or service, it is no longer associated exclusively with a specific brand.

To prevent this from happening, companies may use their trademarked name as an adjective to describe the category or type of product it represents. For instance, Jell-O is a well-known brand for gelatin, and the company uses the term "Jell-O Brand Gelatin" to emphasize that Jell-O is a specific brand within the gelatin category.

By using the trademark as an adjective, companies aim to reinforce the connection between their brand and the product category while maintaining the distinctiveness and exclusivity of their trademark. This practice helps protect the trademark's strength and prevents it from becoming a generic term that any company can use, thus preserving its legal protection and brand identity.

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A line in slope-intercept form is represented by the following equation:

Parallel lines have the same slope, then if the line is parallel to the line y=-2x+5, the slope of the parallel line would be -2 too.

Now, by the given point (2,1) and knowing the slope of the line, we can use the slope-point form of the line equation to get the slope-intercept form:

Substituting:

Notice that the parallel line would be the same original line, y=-2x+5.

The statement is False.

While the Renaissance was indeed a period of great cultural and intellectual advancements, it would be inaccurate to categorize it solely as a flowering of mathematics and science.

The Renaissance, which spanned roughly from the 14th to the 17th century, witnessed significant developments in various fields including art, literature, philosophy, politics, and religion, in addition to advancements in mathematics and science.

The Renaissance was characterized by a revival of interest in classical knowledge and a shift towards humanism, emphasizing the value of human potential, creativity, and individuality. This led to remarkable achievements in art, with the emergence of renowned artists such as Leonardo da Vinci and Michelangelo, who revolutionized painting and sculpture during this era.

Literature also flourished, with influential works produced by authors like William Shakespeare and Miguel de Cervantes.

While mathematics and science did experience notable advancements during the Renaissance, including contributions from figures like Nicolaus Copernicus, Galileo Galilei, and Johannes Kepler, these developments were not the sole focus of the period.

Instead, the Renaissance represented a broader cultural and intellectual awakening characterized by a renewed interest in the humanities, the exploration of new ideas, and a questioning of traditional beliefs.

The Renaissance was a multidimensional movement that encompassed advancements in various disciplines and fields of knowledge, not limited to mathematics and science alone. It was a period marked by innovation and creativity across a wide range of intellectual pursuits, making it inaccurate to reduce it to merely a flowering of mathematics and science.

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Answer: b. The sample should be chosen at random so that it is fair.

Step-by-step explanation:

Looking at the options:

a. The sample should be chosen based on specific criteria, such as the youngest students in the  class.

This is false. Choosing a sample size based on specific criteria may skew the data unfairly. For example, in a survey on students' studying habits, choosing only the students with lowest grades would be an inaccurate representation of the data.

b. The sample should be chosen at random so that it is fair.

This is true. Randomizing a sample eliminates any bias, whether intended or unintended.

c. The sample should consist of every person in the population being studied.

Although it is ideal to survey every person in order to get the most accurate data, doing so is often impossible given the scope of a data set. Doing a survey on high schooler's study habits cannot possibly get data from every person in the population, as there are high school students across the world.

d. The sample size should always be exactly one person or piece of data.

One person's data is not a survey, it is just an opinionated study. Sample size should always be large enough to eliminate any accidental bias.

The correct choice is B.

Answer:

x= 7

Step-by-step explanation:

Let the unknown number be x

\( {x}^{2} = 49\)

Square root both sides

\( \sqrt{ {x}^{2} } = \sqrt{49} \)

Simplify

\(x = 7\)

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{x = 7}}}}}\)

Step-by-step explanation:

Let the number be 'x'

Create an equation

\( \sf{ {x}^{2} = 49}\)

Squaring on both sides

\( \dashrightarrow{ \sf{ \sqrt{ {x}^{2} } = \sqrt{49} }}\)

\( \dashrightarrow {\sf{ \: x = 7}}\)

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

Answer:

oh my friend can answer this ill send her this page!

Step-by-step explanation:

Answer:

3 fl. oz.

Step-by-step explanation:

75% of 12 is the same as multiplying 3 by 4 to get 12. So, you have 3 fl. oz.

Hope it helps!!!!! :))

Part A:  There are nine minors in total.

Part B: The cofactor matrix C is obtained by multiplying each minor by \((-1)^{i+j}\). The entry \(C_i_j\) in the cofactor matrix is equal to \((-1)^{i+j}\)times the corresponding minor.

Part C: The adjugate of A, denoted as Adj(A), is obtained by taking the transpose of the cofactor matrix C.

Part A: To calculate the minors of matrix A, we need to compute the determinants of each matrix obtained by deleting the ith row and jth column,i.e.,we need to delete the ith row and jth column of A and compute the determinants of the resulting 2x2 matrices.

In this case, we need to calculate the determinants of three 2x2 matrices.

Part B: The cofactor matrix C is obtained by multiplying each minor by (-1)^(i+j), where i and j represent the row and column indices of the entry. For each entry in the minors matrix, we multiply it by (-1)^(i+j) to obtain the corresponding entry in the cofactor matrix C.

Part C: The adjugate of matrix A, denoted as Adj(A), is obtained by taking the transpose of the cofactor matrix C.

This means that the entry in the ith row and jth column of Adj(A) is equal to the entry in the jth row and ith column of C.

By calculating the minors, cofactor matrix, and adjugate of matrix A, you can obtain the desired results for Part C.

However, the specific calculation and entries of the adjugate matrix cannot be determined without completing the row-reduction process on matrix A.

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Waterways should retain the old backhoes equipment.

To determine whether it is more favorable to purchase new backhoes or overhaul the old ones, we will evaluate the net present value (NPV), profitability index (PI), and internal rate of return (IRR) for both options.

Net Present Value (NPV):

For the new backhoes:

The initial cost of investment = Purchase cost when new - Salvage value now

= $199,994 - $15,200 = $184,794

The net cash flow generated each year for the new backhoes remains unspecified, so we cannot calculate its NPV.

For the old backhoes:

Initial investment = Cost of the overhaul = $41,400

Net cash flow generated each year = $15,200

Using the provided PV table, we can calculate the NPV for the old backhoes:

NPV = Net cash flow generated each year * PV factor for 8 years - Initial investment

= $15,200 * 5.76162 - $41,400 ≈ $55,689.69

Since the NPV for the old backhoes is positive, retaining the old equipment is favorable.

Profitability Index (PI):

The profitability index is calculated by dividing the present value of cash inflows by the initial investment.

For the new backhoes:

Since the net cash flow generated each year is unspecified, we cannot calculate the PI.

For the old backhoes:

PI = (Net cash flow generated each year * PV factor for 8 years) / Initial investment

= ($15,200 * 5.76162) / $41,400 ≈ 2.11

The profitability index for the old backhoes is 2.11.

Based on the PI, the old backhoes have a higher profitability index than the new backhoes, indicating that retaining the old equipment is more profitable.

Internal Rate of Return (IRR):

The IRR factor for the new and old backhoes is not provided, so we cannot calculate the exact IRR.

In summary, based on the net present value (NPV) and profitability index (PI), it is more favorable for Waterways to retain the old backhoes equipment.

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Answer:

would it be 2/12 or 1/6 of a chance of getting a three

Answer: G, I think? It’s been awhile

Step-by-step explanation: There is 14 in every box, if i remember correct that means it’s not a function.

Answer:

B

Step-by-step explanation:

Answer:

B. -1/2

Step-by-step explanation:

See picture

The correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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The probability of a cash flow between $16,000 and $19,000 is approximately 18.59%.

To calculate the probability of a cash flow being between $16,000 and $19,000, we can use the standard deviation and assume a normal distribution.

We are given that the average cash flow is $14,000 with a standard deviation of $5,000. These values are necessary to calculate the probability.

The probability of a cash flow falling within a certain range can be determined by converting the values to z-scores, which represent the number of standard deviations away from the mean.

First, we calculate the z-score for $16,000 using the formula: z = (x - μ) / σ, where x is the cash flow value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get z1 = (16,000 - 14,000) / 5,000.

z1 = 2,000 / 5,000 = 0.4.

Next, we calculate the z-score for $19,000: z2 = (19,000 - 14,000) / 5,000.

z2 = 5,000 / 5,000 = 1.

Now that we have the z-scores, we can use a standard normal distribution table or calculator to find the corresponding probabilities.

Subtracting the probability corresponding to the lower z-score from the probability corresponding to the higher z-score will give us the probability of the cash flow falling between $16,000 and $19,000.

Looking up the z-scores in a standard normal distribution table or using a calculator, we find the probability for z1 is 0.6554 and the probability for z2 is 0.8413.

Therefore, the probability of the cash flow being between $16,000 and $19,000 is 0.8413 - 0.6554 = 0.1859, which is approximately 18.59%.

So, the correct answer is that the probability of a cash flow being between $16,000 and $19,000 is approximately 18.59%.

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Answer: y = 3.75x + 2.50

Step-by-step explanation:

The equation that can be used to find y, the total cost of renting a bike, if x represents the number of hours Violet rents the bike is:

y = 3.75x + 2.50

Explanation:

Violet pays an initial fee of $2.50, which is a fixed cost that does not depend on the number of hours she rents the bike. Additionally, she pays $3.75 per hour she rents the bike, which is a variable cost that depends on the number of hours. Therefore, the total cost of renting a bike (y) can be expressed as the sum of the fixed cost ($2.50) and the variable cost ($3.75x), which gives the equation:

In the given graph, the independent variables represent those factors that are manipulated by the researcher. On the other hand, the dependent variable represents the effect of the independent variable(s).Let's first understand the given graph - it shows data from the light-colored soil enclosure.

There is one dependent variable and more than one independent variable on the graph. Based on this information, it can be concluded that the graph represents the result of an experiment where multiple factors were tested to observe their impact on the dependent variable. Now, coming to the question, we need to identify the independent variables from the graph. Unfortunately, the graph is not available here to analyze and provide an accurate answer. Suppose the experiment aimed to study the effect of different factors on the growth of plants in light-colored soil. Some independent variables that could be manipulated by the researcher are:

Amount of water provided to the plants Type of fertilizer used for the soil Temperature of the enclosure Humidity level inside the enclosure Intensity and duration of light exposure. Amount of water provided to the plants, type of fertilizer used for the soil, temperature of the enclosure, humidity level inside the enclosure, intensity, and duration of light exposure.

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Answer:

122

Step-by-step explanation:

Four multiplied by 29 add six

Answer:

A. 63

Step-by-step explanation:

Given functions:

    f(x) = 2x² + 5

    g(x) = 8 + x

find:

g o f(-5)

Solution:

Start first by finding f(-5);

       f(x) = 2x² + 5

              = 2(-5)² + 5

              = 50 + 5

              = 55

Now

g o f(-5);

     g(55) = 8 + 55 = 63

Answer:

Option B

Step-by-step explanation:

With a scale factor of 1/2, the dilated shape should be smaller because of the scale factor, So in Option B the dilated shape is smaller than the real one.

1) Option A is an enlargement

2) Option B is reduction

3) Option C is equality

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Answer:

28cm

Step-by-step explanation: