Starting at sea level, a submarine descended at a constant rate to a depth of - 1/6 mile relative to sea level in 1/2 minutes. The submarine continues to descend at the same rate. What is the submarine's depth relative to sea level after the first minute? Divide the fractions and simplify.

Answer:

infinite

Step-by-step explanation:

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

Answer: c because the y intercept is the only correct one, not only that, if you plug in 4 as x in the equation, the y value would be -2 and that ordered pair fits on the line in the graph

Step-by-step explanation:

Answer:

x = 30

y = 115

Step-by-step explanation:

Suppose line m is parallel to line n:

65+y = 180 because they are supplementary angles

subtract 65 from both sides

y = 115

angle represented by y and the angle represented by 3x + 25 are alternate angles and their measure is equal, so to find the value of x we can write the following equation:

3x + 25 = 115 subtract 25 from both sides

3x = 90 divide both sides by 3

x = 30

Answer:

The second table shows a linear function

Step-by-step explanation:

The linear function intersect at -2

which is the following exterior angles

Answer:

6,4,3,2

Answer:

  All apply

Step-by-step explanation:

Complementary angles are ones that total 90°. Here, we have two pairs of congruent angles such that each pair totals 90°. We can mix and match to find pairs of complementary angles.

  less than 45°: BGC and EGF

  more than 45°: AGB and DGE

A complementary pair will consist of one angle from the first list and one angle from the second list. There are 4 possible pairings, and all are shown as answer choices.

All of the choices apply.

To assign the 50 students to two independent groups, a randomization procedure can be used. The procedure involves first listing all the students in a random order. It minimizes bias and ensures an equal chance of assignment to either group.

To assign 50 students to two independent groups using randomization, follow these steps:

1. Start with a list of all 50 students.

2. Assign a unique number to each student, such as from 1 to 50.

3. Use a random number generator to generate 25 distinct random numbers from 1 to 50. These random numbers will represent the students for the first independent group.

4. The remaining 25 students, represented by the numbers not selected in step 3, will form the second independent group.

5. Assign the students to their respective groups based on the random numbers.

This procedure ensures that the students are assigned to two independent groups through randomization, reducing potential biases and ensuring a fair distribution of students across the groups.

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Answer:

13.32cm squared

Step-by-step explanation:

Area of triangle is B X H X0.5

The fraction is equal to 3/7

the sum of numerator and denominator is equal to 100

Let the numerator = x

Since, Numerator + Denominator = 100

x + Denominator = 100

Denominator = 100 - x

Thus, the fraction is in the form of;

Since it is given that the fraction is equal to 3/7

So,

Simplify the expression for x;

So, the numerator is 30

Since, Denominator = 100 - x

Substitute x = 30

Denominator = 100 - x

Denominator = 100 - 30

Denominator = 70

Thus, we have numerato = 30 denominator = 70

So, the resulting fraction is given as;

Answer: 30/70

we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

Sara has 2 items:

Weight of 1st item = 7 ounces.

Weight of second item = 6 3/5 ounces = 33 / 5 ounces.

Total Weight of items to be mailed = 7 ounces + 33 / 5 ounces

Total Weight = 35 + 33 / 5 ounces = 68 / 5 ounces.

Now, cost of mailing 1 ounce per mail = $ 0.45

Cost of mailing 68 / 5 ounce of mails = 68 / 5 × $ 0.45

Total cost = $ 6.12

Therefore, we get that the total cost that Sara has to pay to mail these two mails will be equal to 4 6.12.

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Answer:

Step-by-step explanation:

Use PEDMAS

12 ÷ 3*5 - 4² =  4 * 5 - 16          {First division should be performed}

                     = 20 - 16     {Now multiplication}

                     = 4   {Finally subtraction}

Answer:

7/8 =s

Step-by-step explanation:

1/8=s-3/4

Add 3/4

1/8 + 3/4 = s -3/4 +3/4

1/8 + 3/4 = s

Get a common denominator

1/8 + 3/4 *2/2 = s

1/8 + 6/8 =s

7/8 =s

1/8 = s - 3/4

1/8 = s -6/8 ( * 2/2)

7/8 = s

s = 7/8

The slope of the straight line paths the knight can travel is 1.

Slope is the ratio of the rise, the vertical change, to the run, the    horizontal change of a line.

To calculate the slope of the straight paths, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

hence, the slope of the straight line part is 1.

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The capital includes :

Any financial contribution made to a business to assist in achieving and advancing its commercial goal is referred to as a capital investment. The phrase may also refer to a long-term purchase made by a company, such as one for land, equipment, businesses, etc.

When a corporation issues securities to equity investors and debt to bondholders, the total amount of debt and capital lease obligations are added to the amount of stock given to investors to determine the overall amount of money raised. This amount is referred to as invested capital. The balance sheet of the business does not include an item for invested capital because debt, capital leases, and stockholders' equity are all stated separately.

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Answer:

42

Step-by-step explanation:

2(18)+2(3)=36+3=42

If Sean, who is 6 feet tall, casts an 8-foot shadow, the approximate angle of elevation of the sun can be calculated using trigonometry. The answer is approximately 37 degrees.

Explanation:

The angle of elevation is the angle between the horizontal and the line of sight to the sun. In this problem, we can use the height of Sean (6 feet) and the length of his shadow (8 feet) to determine the angle of elevation of the sun. We can use the tangent function, which is defined as the ratio of the opposite side (height of Sean) to the adjacent side (length of his shadow).

tan(angle of elevation) = opposite/adjacent

tan(angle of elevation) = 6/8

angle of elevation = tan^-1(6/8)

Using a calculator, we can determine that the angle of elevation is approximately 37 degrees. Therefore, the correct answer is A, 37 degrees.

In conclusion, the approximate angle of elevation of the sun when Sean, who is 6 feet tall, casts an 8-foot shadow, can be calculated using the tangent function. This problem demonstrates how trigonometry can be used to solve real-world problems.

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The original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

To show that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves, we need to take the derivative of the equation and set it equal to -1/b^2, the slope of the orthogonal line.

First, we take the derivative of the equation with respect to x:

2x/a^2 = -2y/b^2 * dy/dx

Simplifying, we get:

dy/dx = -b^2*x/a^2*y

Now, we set this equal to -1/b^2:

-b^2*x/a^2*y = -1/b^2

Cross-multiplying and simplifying, we get:

x/a^2*y = 1/b^2

Finally, we can rearrange this equation to get:

y = b^2*x/a^2

This equation represents the orthogonal family of curves to the original family of conics. Since the original equation and the orthogonal equation are the same, we can conclude that the family of conics with the same focus x^2/a^2+C + y^2/b^2+C = 1 is its own orthogonal family of curves.

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It is true that exponent laws apply all the time when simplifying variables

The laws of exponent state that:

\((ab)^m = a^m * b^m\)

\((a+ b)^m \ne a^m + b^m\)

\((a- b)^m \ne a^m - b^m\)

\((a/b)^m \ne a^m / b^m\)

The above laws must be followed in all variables.

When any of the law is misinterpreted, misrepresented or misused in simplifying variables, the result would be incorrect

Hence, it is true that exponent laws apply all the time when simplifying variables

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Answer: Area= \(\frac{bh_{b} }{2}\)

Example:

Let the base be 3 and the height(\(h_{b\\}\)) 4

So,

Area= \(\frac{3*4}{2\\}\)-->\(\frac{12}{2}\)=6

Answer:

708meters

Step-by-step explanation:

Given data

Lenght = 274meters

Width= 80 meters

The expression for the perimeter is

P= 2L+2W

substitute

P= 2*274+ 2*80

P= 548+160

P= 708 meters

Hence the perimeter of the block is 708meters

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

Answer:

\( \huge 0 \)

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

From the question we have

\(m = \frac{ - 5 - - 5}{8 - 3} = \frac{ - 5 + 5}{5} = \frac{0}{5} = 0 \\ \)

We have the final answer as

Hope this helps you

Answer:

$1.44

Step-by-step explanation:

Tax is a compulsory sum levied by the government. it increases the price of the good

tax paid = tax rate x price of the book

18 x 8%

18 x 0.08 = $1.44

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220

I apologize, but I still don't have the specific cross-quantile puzzle and the given data you are referring to.

Without that information, I cannot provide you with the solution or fill in the boxes as requested, If you could provide the cross-quantile puzzle and the accompanying data, I would be glad to assist you in solving it and finding the indicated measures of position.

I apologize for any confusion, but it seems that the actual cross-quantile puzzle and the given data are still missing from your response. Without the specific details of the puzzle and the provided data, I cannot assist you in solving it.

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The slope of the line which passes through the given points (-9, -7) and (-11, -6) is calculated as: 1/2.

To find the slope of a line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where m is the slope, and (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, the two points are (-9, -7) and (-11, -6), so we can plug them into the formula:

m = (-6 - (-7)) / (-11 - (-9))

Simplifying this, we get:

m = 1 / 2

So, the slope of the line that passes through (-9,-7) and (-11,-6) is 1/2.

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The slope of the line which passes through the given points (-9, -7) and (-11, -6) is calculated as: 1/2.

To find the slope of a line, we use the formula:

m = (y2 - y1) / (x2 - x1)

where m is the slope, and (x1, y1) and (x2, y2) are the coordinates of two points on the line.

In this case, the two points are (-9, -7) and (-11, -6), so we can plug them into the formula:

m = (-6 - (-7)) / (-11 - (-9))

Simplifying this, we get:

m = 1 / 2

So, the slope of the line that passes through (-9,-7) and (-11,-6) is 1/2.

Answer:

x=2

Step-by-step explanation:

x=14cm/7cm

x=2cm

waakan jawaabta kafaa ideesi wcan

To find the critical value for a two-tail test with a sample standard deviation, an n-value of 36, and an alpha of 0.05, you will need to use the t-distribution table (as the population standard deviation is not given). However, since you have only provided the sample standard deviation and not its actual value, I cannot calculate the specific critical value for you.

Here are the general steps to find the critical value:
1. Calculate the degrees of freedom: df = n - 1 = 36 - 1 = 35
2. Divide the alpha (0.05) by 2 for a two-tail test, resulting in 0.025 in each tail.
3. Look up the t-value corresponding to the degrees of freedom (35) and the given alpha level (0.025) in the t-distribution table.
4. The t-value you find in the table is your critical value.

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Answer:

x = 107 , y = 60

Step-by-step explanation:

Each lower base angle is supplementary to the upper base angle on the same side, then

x + 73 = 180 ( subtract 73 from both sides )

x = 107

and

y + 2y = 180

3y = 180 ( divide both sides by 3 )

y = 60