Find the value of x. *
2x+6
32°

The scuba driver is 466.71 feet far from the sea turtle. The solution has been obtained by using trigonometry.

What is trigonometry?

In the area of mathematics known as trigonometry, right-angled triangles, including their sides, angles, and connections, are studied.

We are given that the angle of their eyesight is 40° below sea level and the turtle is 300 ft under the surface of the water.

We know that, in trigonometry, sin θ is the ratio of opposite side to its hypotenuse.

Here, θ = 40° and the measure of opposite side is 300 ft.

So, from this we get,

⇒ Sin 40° = \(\frac{300}{x}\)

⇒ x = \(\frac{300}{sin 40}\)

⇒ x = \(\frac{300}{0.6428}\)

⇒ x = 466.71 feet

Hence, the scuba driver is 466.71 feet far from the sea turtle.

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To perform the given operations, let's first calculate the required matrices:

A = (1 2 2 4)

B = (-2 5 3 9)

B^T represents the transpose of matrix B, which is obtained by interchanging its rows and columns:

B^T =

|-2|

| 5|

| 3|

| 9|

Now, let's proceed with the calculations:

1. A + B^T:

To add A and B^T, both matrices need to have the same dimensions, which they do (both are 1x4 matrices).

A + B^T = (1 2 2 4) + |-2|

                      | 5 |

                      | 3 |

                      | 9 |

Adding corresponding elements, we get:

A + B^T = (1 - 2  2 + 5  2 + 3  4 + 9)

Simplifying, we have:

A + B^T = (-1  7  5  13)

Therefore, A + B^T is (-1 7 5 13).

2. 2A^T - B^T:

To perform this operation, we need to multiply A^T and 2A^T by 2 and subtract B^T from the result.

A^T = |1 2 2 4|

2A^T = 2 * |1 2 2 4|

Multiplying each element by 2, we get:

2A^T = |2 4 4 8|

Now, subtracting B^T:

2A^T - B^T = |2 4 4 8| - |-2|

                            | 5 |

                            | 3 |

                            | 9 |

Subtracting corresponding elements, we have:

2A^T - B^T = |2 + 2 |

                     |4 - 5 |

                     |4 - 3 |

                     |8 - 9 |

Simplifying, we get:

2A^T - B^T = |4 |

                     |-1 |

                     |1 |

                     |-1 |

Therefore, 2A^T - B^T is (4 -1 1 -1).

3. A^T(A - B):

To perform this operation, we need to multiply A^T and (A - B) matrices.

A - B = (1 2 2 4) - (-2 5 3 9)

Subtracting corresponding elements, we get:

A - B = (1 + 2  2 - 5  2 - 3  4 - 9)

Simplifying, we have:

A - B = (3 -3 -1 -5)

Now, multiplying A^T by (A - B):

A^T(A - B) = |1 2 2 4| * (3 -3 -1 -5)

Performing the matrix multiplication, we have:

A^T(A - B) = (1*3 + 2*(-3) + 2*(-1) + 4*(-5))

Simplifying, we get:

A^T(A - B) = (-3 - 6 - 2 - 20)

Therefore, A^T(A - B) is (-31).

Summary:

A + B^T = (-1 7 5 13)

2A^T - B^T = (4 -1 1 -1)

A^T(A - B) = (-31)

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Answer:

the answer is 216 sq cm.

Step-by-step explanation:

Do 12×14=168. Then 12×8=96. Then 96/2=48. Then add 168+48=216.

Answer:

216

Step-by-step explanation:

12x 14=168

8x12=96

96/2=48

168+48=216

Answer:

Negative

Step-by-step explanation:

A positive divided by a negative will always be negative.

Answer:

if they are both positive its positive

if ones positive and ones negitive its negative

if they are both negative its positive

Step-by-step explanation:

The Monthly Average Daily Balance (MADB) for December 2021 can be calculated by dividing the Total Monthly Balance (TMB) by 31.

The MADB is a measure used to determine the average balance in an account over a specific period, in this case, the month of December 2021. To calculate the MADB, the Total Monthly Balance (TMB) needs to be divided by the number of days in the month. In December, there are 31 days, so the correct option is C: TMB/31.

Dividing the TMB by 31 gives an accurate representation of the average daily balance for the entire month. This calculation takes into account the fluctuations in the account balance throughout the month and provides a more precise measure compared to simply dividing by the number of days in a year (365) or any other month-specific numbers.

It's important to note that the MADB calculation may vary depending on the context or specific financial institution's policies. However, for the given question regarding December 2021, dividing the TMB by 31 is the most appropriate method to determine the Monthly Average Daily Balance.

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Answer:

x^3-2x^2-21x+12

Step-by-step explanation:

use foil method

Answer:

x³ - 2x² - 21x + 12

Step-by-step explanation:

Step 1: Write expression

(x + 4)(x² - 6x + 3)

Step 2: Distribute each term

x³ - 6x² + 3x

4x² - 24x + 12

Step 3: Combine

x³ - 6x² + 3x + 4x² - 24x + 12

Step 4: Combine like terms

x³ - 2x² - 21x + 12

Answer:

True

Step-by-step explanation:

When displaying any sort of data, it is important to make the table or chart as easy to understand and read as possible without compromising the data. In this case, it is simpler to understand the pie chart if we use as few slices as possible that still makes sense for displaying the data set.

The woman at the dinner party consumed 24 fluid ounces of wine containing approximately 4.8 standard drinks assuming the wine had an alcohol content of 12%. She exceeded the recommended limit for moderate drinking on that day.

Assuming each glass of wine contained 8 fluid ounces, the woman consumed a total of 24 fluid ounces of wine throughout the evening.

To determine the number of standard drinks ingested, we need to know the alcohol content of the wine. In the United States, a standard drink is defined as containing 0.6 fluid ounces or 14 grams of pure alcohol.

Assuming the wine had an alcohol content of 12% (which is a typical percentage for table wine), we can calculate the number of standard drinks ingested by using the following formula:

Number of standard drinks = (Volume of alcohol consumed in ounces x % alcohol by volume) / (0.6 ounces of alcohol per standard drink)

Number of standard drinks = (24 fl oz x 0.12) / 0.6 fl oz

Number of standard drinks = 4.8

Therefore, the woman consumed approximately 4.8 standard drinks.

To determine if she drank alcohol in moderation, we need to consider the recommended limits for moderate drinking. According to the National Institute on Alcohol Abuse and Alcoholism, moderate drinking is defined as up to one drink per day for women.

Since the woman consumed 4.8 standard drinks in one evening, she exceeded the recommended limit for moderate drinking for that day.

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The equation of a line y=2x+8.

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis

Looking at the given line,

y = 2x + 7

Compared with the slope-intercept equation,

Slope, m = 2

If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2

Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes

4 = 2 × - 2 + c

4 = - 4 + c

c = 4 + 4 = 8

The equation becomes y=2x+8.

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Answer:

J is 8. (J= 22-14) So that would simplify to (J= 8)

Step-by-step explanation:

hope this helps :)

J is 8. (J= 22-14) So that would simplify to (J= 8)

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = \(\frac{-5-5}{3-(-2)}\) = \(\frac{-10}{3+2}\) = \(\frac{-10}{5}\) = - 2

For a andrea's record label released her new album, the simplified inequality of absolute value inequality in terms of t is equals to the t ≥ 10. The graph which represents the inequlity is option(b).

Andrea's record label released her new album. Now, she wants to know the sales of at least $20,000 per week. The equation where sales will be at least 20,000 amount is written as 20,000≤ 1000(-2|t - 15| + 30). We have to solve this inequality. Now, the inequality is written as 20,000 ≤ 1000(-2|t - 15| + 30)

dividing by 1000 both sides, \( \frac{20,000 }{1000} ≤ (-2|t - 15| + 30) \)

=> 20 ≤ (-2|t - 15| + 30)

Substracts 20 from both sides

=> 20- 30 ≤ -2|t - 15| + 30 - 30

=> -10 ≤ -2|t - 15|

dividing by (-2) by both sides in above equation,

=> 5 ≤ | t - 15 |

=> -(t - 15) ≤ 5 ≤ (t - 15)

=> - t + 15 ≤ 5 ≤ t - 15

=> - t + 15≤ 5 or 5 ≤ t - 15

=> -t ≤ - 10 or 15 ≤ t

=> t ≥ 10

Hence, required graph is present in option(b)

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Complete question:

Andrea's record label released her new album. Andrea wants to know when she has sales of at least $20,000 per week She uses the related equation below to determine when sales will be at least this amount where t represents time in weeks, 20,000≤ 1000(-2|t - 15| + 30). If you simplify the inequality above to a simple absolute value inequality in terms of t (by getting |t - 15| by itself on one side) which of the following graphs represents the solution set to that inequality?

The washer/dryer combo will be worth approximately $893.69 in 6 years.

To find the value of the washer/dryer combo after 6 years, we need to calculate its depreciation each year. Since it loses 24% of its resale value annually, we can express the depreciation as a decimal fraction, which is 0.24.

In the first year, the washer/dryer will be worth 100% - 24% = 76% of its original value. Therefore, its value after the first year will be 0.76 * $2,200 = $1,672.

For each subsequent year, we need to calculate the new value based on the previous year's value. After the second year, the washer/dryer will be worth 76% of $1,672, which is 0.76 * $1,672 = $1,270.72.

We repeat this process for each subsequent year, applying the 24% depreciation factor. After the third year, the value will be 0.76 * $1,270.72 = $966.32. After the fourth year, it will be 0.76 * $966.32 = $735.69. After the fifth year, it will be 0.76 * $735.69 = $559.05.

Finally, after the sixth year, the value of the washer/dryer combo will be 0.76 * $559.05 = $424.95.

Therefore, after 6 years, the washer/dryer combo will be worth approximately $424.95.

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Answer:

It will take her 5 hours to reach 270 miles.

Step-by-step explanation:

She travels 54 miles in 1 hour. Multiply 54 by 5 which you get 270 miles.

Answer:

It will take her 5 hours to reach 270 miles.

Step-by-step explanation:

She travels 54 miles in 1 hour.

Multiply 54 by 5 which you get 270 miles.

Part A

Let's say we measure a board length and we measure 18.639 cm. Now let's say we round to the nearest tenth. That would lead to 18.6 cm. The question is "What is the largest value we can measure such that we round to the nearest tenth to get 18.7 cm?"

Well we could measure 18.7 cm exactly, but there are values we could measure that are larger to round to that value. We could measure 18.71 or 18.72, etc etc all the way up to 18.74; once we get to 18.75, it will round to 18.8

So this means that the largest we can measure is 18.74 and it is the upper bound we're after.

=========================================================

Part B

We use the same idea as part A, but now we're extending out one more decimal place.

We could measure 58.37 cm exactly or we could measure 58.371 or we could do 58.372, etc until we arrive at 58.374

By the time we get to 58.375, it will round to 58.38 and that's not what we're after. So the highest we can go is 58.374 cm

Answer: a = 15

Step-by-step explanation:

5a-10b=45

5a-10(3)=45

5a - 30 = 45

5a = 75

a = 15

An equation is a mathematical statement with an equal to symbol between the two expressions which have equal values. The value of 'a' in the equation is 15 .The correct option is B.

The mathematical statements containing two algebraic expressions on both sides of an equal to sign are defined as the equations. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

The equations are generally solved in order to obtain the unknown variable or unknown quantity. If there is no equal to sign, then it is not an equation. It have LHS = RHS.

Here b = 3, then the value 'a' is:

5a - 10 × 3 = 45

5a - 30 = 45

5a = 75

a = 15

Thus the correct option is B.

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Answer:

A. a is where performance is minimal

Step-by-step explanation:

b is representing peak performance.

Check the picture below.

A. J. Lawrance's article sheds light on the concepts of conditional and partial correlation, emphasizing their differences and importance in statistical analysis.

The article titled "On Conditional and Partial Correlation" by A. J. Lawrance, published in The American Statistician in 1976, discusses the concepts of conditional correlation and partial correlation. The main focus of the paper is to explain the difference between these two correlation measures.

Conditional correlation refers to the relationship between two variables while holding a third variable constant. It helps in understanding how the correlation between two variables changes when a third variable is taken into account.

On the other hand, partial correlation measures the strength and direction of the relationship between two variables after removing the influence of other variables.

The author emphasizes that conditional correlation and partial correlation are related but distinct concepts. While conditional correlation considers the correlation between two variables given a third variable, partial correlation quantifies the relationship between two variables by removing the effects of other variables.

The article provides mathematical formulas and explanations to illustrate the calculations of conditional and partial correlations. It highlights the importance of considering these measures in statistical analysis to better understand the underlying relationships between variables.

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Answer:

B; 125

Step-by-step explanation:

45% of 500 is 225. 20% of 500 is 100

225 - 100 = 125

Hope this helps :)

Answer:

B)125

Step-by-step explanation:

i'm just guessing since i don't know the answer. I hope it's right

Answer:

x-2>-3

x>-3+2

x<-1

Step-by-step explanation:

qhen you get this type of question remove the bracket from there and write x-2>-3 after that you will move -2 to -3 so when you move it the symbol negative will change to positive the you will subtract positive 2 from the -3 and your answer will be x<-1

first I needa know what the starting temp is? is it 4? or?? because if it's 4 then its -12

Answer: he would save15,000

Step-by-step explanation:

The consumption bundle that will not be the consumer's choice, given the assumptions of choosing the optimal bundle, is option B) 30 snacks and 12 meals. To determine the optimal consumption bundle, we need to consider the consumer's budget constraint and maximize their utility.

Given that the price of snacks is $4 and the price of meals is $10, and the consumer has $240 remaining on their meal card, we can calculate the maximum number of snacks and meals that can be purchased within the budget constraint.

For option A) 5 snacks and 20 meals, the total cost would be $4 × 5 + $10 × 20 = $200. Since the consumer has $240 remaining, this bundle is feasible.

For option B) 30 snacks and 12 meals, the total cost would be $4 × 30 + $10 × 12 = $240. This bundle is on budget constraint, but it may not be the optimal choice since the consumer could potentially consume more meals for the same cost.

For option C) 20 snacks and 16 meals, the total cost would be $4 × 20 + $10 × 16 = $240. This bundle is also on budget constraint.

Since options A, C, and D are all feasible within the budget constraint, the only bundle that will not be the consumer's choice is option B) 30 snacks and 12 meals. The consumer could achieve a higher level of utility by reallocating some snacks to meals while staying within the budget constraint. Therefore, the correct answer is option B.

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Answer:

Volume=384 inches squared

Step-by-step explanation:

Multiply the width to the length. Therefore it would be 32. Next you multiply 32 to your height, giving you an answer of 384

Simple. 12in cubed.

Also if u wanted me to be VERY specific as to what 12in cubed equals it would be 1728.

Answer:

C. 99

Step-by-step explanation:

The number are all less than 50 and then there is only one number that is greater than 50. The number is 99. Because it is a number that is not close to the average numbers at all, it is the outlier.

If this answer has helped you, please mark as brainliest

Answer:

C. 99

Step-by-step explanation:

an outlier is a number that is dralastically diffrent then the rest

Answer:

Step-by-step explanation:

- 16 = 5 + 3( x – 7)

-16 = 5 + 3x - 21

3x = 16 + 5 - 21

3x = 0

The best description of the geometric construction of the quotient z/w on the complex plane is; Option A; z is scaled by a factor of One-fifth and rotated 90 degrees clockwise

We are given;

z = 3(cos(15°) + i sin(15°))

w = 5(cos(90°) + i sin(90°))

Now, if we want to find the quotient z/w, it is clear that in geometric construction, the procedure will be to scale z by a factor of 1/5 and thereafter we will rotate by 90° clockwise.

Thus, option A is the correct answer.

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