.A scientist uses a submarine to study ocean life.She begins at sea level, which is an elevation of o feet.She descends for 106 seconds at a speed of persecond.• She then travels directly up for 64 seconds at a speed of 1.9 feet persecond.4-5 feetAt this point, what is her elevation, in feet?

The partial sum of the sequence {2, 3, 5, 8, 13, ...} for the first 8 terms is 761/2.

The sequence given is a Fibonacci sequence, where each term is the sum of the previous two terms. To find the partial sum for the first 8 terms, we can use the formula for the sum of a finite geometric series:

Sₙ = a(1 - rⁿ)/(1 - r),

where Sₙ is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 2, r = 3/2 (since each term is 1.5 times the previous term), and n = 8. Plugging these values into the formula, we get:

S₈ = 2(1 - (3/2)⁸)/(1 - (3/2))

Simplifying the expression, we get:

S₈ = 761/2

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Answer:

\(x = -\frac{Hy + K}{A}\)

Step-by-step explanation:

Step 1: Add -Hy to both sides.

Step 2: Divide both sides by A.

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

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Answer:

¼

Step-by-step explanation:

Solution,

Total quantity=½ gallon

Each friends quantity=½/2

=¼ gallon

Answer:

A. The new maturity value of the loan would be $15,000

B. The maturity data of the loan would be June 20

Step-by-step explanation:

N/A

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

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Answer/Step-by-step explanation:

The angle CPA must be 90° because AB is a straight line and it is a measure of 180° and 180°-90° = 90°

Answer:

45 degree . my step-by-step solution is in this picture

The number written on the board will be negative 27. This can be solved by using the concept of algebra.

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Let x be the number.

There is a number written on the board. One student increased the number by 23. Then the first number will be

⇒ x + 23

But another student decreased the same number by 1. Then the second number will be

⇒ x - 1

The first student's result was 7 times greater than the result of the second student.

7 first number = second number

or, 7(x + 23) = x - 1

or, 7x + 161 = x - 1

or, 6x = - 162

or, x = - 27

The number written on the board will be negative 27.

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Bernie drove 1.125 times as fast as Janelle.

To determine who drove faster, we can calculate the average speed (in km/h) of each driver using the formula:

average speed = distance / time

For Janelle:

average speed = 60 km / (5/6 hours) = (60 km) x (6/5 hours) = 72 km/h

For Bernie:

average speed = 54 km / (2/3 hours) = (54 km) x (3/2 hours) = 81 km/h

Therefore, Bernie drove faster than Janelle. To determine how many times as fast, we can divide Bernie's average speed by Janelle's average speed:

81 km/h / 72 km/h = 1.125

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Answer:

i belive the awnser to this is m= –4

Answer:

Slope m = -4

Step-by-step explanation:

In order to solve this problem, we need to use \(\frac{y2-y1}{x2-x1}\). After plugging in we get \(\frac{2-6}{9-8}\). 2 - 6 = -4 and 9 - 8 = 1. Because we don't need to write the 1 when it is in the denominator, the answer is just -4.

Answer: 20

Step-by-step explanation:

Answer: The 0.09 is 1/10 of 0.9

Step-by-step explanation:

You can see by the decimal point that it moved so from 0.9 to 0.09 it has moved once.

Answer:

Because one pair are vertical angles

Because one pair are each supplementary to equal angles

Step-by-step explanation:

LKO is congurent to LMO

Step-by-step explanation:

angle k =angle m

lk=LM

lo=Lo (common)

mark me brainlist

Answer:

2412

Step-by-step explanation:

(36 x 3) - (-48²)

i The number of that read only one of the 3 dailies is 55

ii The number that read  Citizen or Times but not the Mirror.is 40

iii The total number of people interviewed is 110

The illustration is attached

The information are filled as follows

The number of people who read Mirror, Citizen, and Times: 4 (common region of all three circles).

The number of people who read Mirror and Times:

19 - 4 = 15

The number of people who read Citizen and Mirror:

15 - 4 = 11

The number of people who read Citizen and Times:

14 - 4 = 10

The number of people who read only Mirror:

55 - 15 - 11 - 4 = 25

The number of people who read only Citizen:

45 - 11 - 10 - 4 = 20

The number of people who read only Times:

39 - 15 - 10 - 4 = 10

i) To determine the number of people who read one of the three dailies, we add up the number of people who read only Mirror, only Citizen, and only Times:

25 + 20+ 10 = 55

ii) To determine the number of people who read Citizen or Times but not the Mirror, we add up the number of people who read only Citizen and only Times: and citizen and times

20 + 10 + 10 = 40

iii) The total number of people interviewed can be determined by adding up the numbers in all regions of the Venn diagram, including those who read none of the papers:

= 25 + 11 + 4 + 15 + 20 + 10 + 10 + 15

= 110

Therefore, the total number of people interviewed is 110

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Answer:

9000

Step-by-step explanation:

The numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

From the given question, we are to order the given numbers from the greatest to least.

The given numbers are

-49

-1/5

0.5

4

-1.2

15/5

First, we will convert the fractions to decimal or whole number

-1/5 = -0.2

15/5 = 3

Now, we will order the numbers from the greatest to the least

4 > 3 > 0.5 > -0.2 > -1.2 > -49

That is,

4 > 15/5 > 0.5 > -1/5 > -1.2 > -49

Hence, the numbers ordered from the greatest to the least is

4

15/5

0.5

-1/5

-1.2

-49

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All work and answers are provided in the attached screenshot! :)

Have a great day! :)

The length of the third side is 2√34 + 6.

We can use the triangle inequality theorem to solve this problem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let x be the length of the third side. Then we have:

2√34 + 6 > x

Subtracting 6 from both sides, we get:

2√34 > x - 6

Adding 6 to both sides, we get:

x < 2√34 + 6

Therefore, the length of the third side must be less than 2√34 + 6.

To find the exact length of the third side, we need to check if the triangle inequality is satisfied for an equality. In other words, we need to check if:

2√34 + 6 = x

If this is true, then the given sides can form a triangle.

Simplifying the equation, we get:

x = 2√34 + 6

The exact length is 2√34 + 6 if the triangle inequality is satisfied for an equality.

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Given:

The speed of car is 25 mph.

Explanation:

Determine the speed of car in foot per second.

So car travel 36.6675 feet in 1 second.

Determine the time in seconds.

Determine the distance travelled by car in 3 minutes 45 seconds.

So car travell 8250 feet.

Answer: 8250

The product of two linear functions having same variables will be a quadratic function where as the The product of two linear functions having different variables will be a linear function.

Linear function is the function whose degree is 1.

Degree of a function is the highest power of the variable of the function.

Let us take two examples.

1. Suppose the two linear functions are -

f(x) = 2x + 3 and g (x) = x + 5

The product of f(x) and g(x) will be

(2x + 3)(x + 5)

=2x (x + 5) + 3 (x + 5)

= 2x² + 10x + 3x + 15

= 2x² + 13x + 15

Here, f(x) and g(x) are the functions having same variables so there product is a quadratic function.

2. Suppose the two linear functions are -

f(x) = 2x + 3 and g (y) = y + 5

The product of f(x) and g(y) will be

(2x + 3)(y + 5)

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

= 2xy + 10x + 3y + 15

Here, f(x) and g(y) are the functions having different variables so there product is a linear function.

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Answer:

what kind of a question is this? lol. seems liek u need to subtract those 20 students from 70. im not sure wat ur askin but here. try this.

WHAT IS THE QUESTION??? im confused. welp.

Sarah, this is the solution to the problem:

We already know that:

Real GDP = Nominal GDP/GDP Deflator * 100

Substituting with the values we know:

• Real GDP = 240/80 * 100

• Real GDP = 3 * 100

• Real GDP = 300 billion

Sarah, the correct answer is A.

Answer:

∠ a = 30° , ∠ b = 90°

Step-by-step explanation:

∠ a and 150° are a linear pair and sum to 180° , that is

∠ a + 150° = 180° ( subtract 150° from both sides )

∠ a = 30°

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

the sum of the 3 angles in a triangle = 180° , that is

∠ b + ∠ a + 60° = 180°

∠ b + 30° + 60° = 180°

∠ b + 90° = 180° ( subtract 90° from both sides )

∠ b = 90°

Answer:

The rewritten equation is: \(x = \ln{4}\)

Step-by-step explanation:

The inverse operation of the exponential is the natural logarithm, \(\ln\), and the following property is used to solve this question:

\(\ln{e^x} = x\)

In this question, we have that:

\(4e^x = 16\)

\(e^x = \frac{16}{4}\)

\(e^x = 4\)

Applying the natural logarithm to both sides:

\(\ln{e^x} = \ln{4}\)

\(x = \ln{4}\)

The rewritten equation is: \(x = \ln{4}\)

The equivalent logarithmic equation is: \(x = \log(4)\)

The exponential equation is given as:

\(4e^x=16\)

Divide both sides of the equation by 4

\(e^x=4\)

Next, take the logarithm of both sides (to convert the expression to a logarithmic expression)

\(\log(e^x)=\log(4)\)

The logarithm of e^x is x.

So, we have:

\(x = \log(4)\)

Hence, the equivalent logarithmic equation is: \(x = \log(4)\)

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Answer:

11,44,83

Step-by-step explanation:

4y+7y+6=116(exterior angle is equal to sum of two opposite interior angle in traingle)

11y=116-6

y=110÷11=11

4y=4×11=44

7y+6=7×11+6=83