3) The International Space Station takes 644 minutes to orbit Earth 7 times. About how long does each orbit take? I got 92 am I correct to crazy? 100 minutes 95 minutes 90 minutes 80 minutes

T/F Solution that can be analytically obtained but is not an actual answer to the equation often due to restrictions in the type of function such as a negative in the log

This statement is true.

Because, Sometimes, when solving an equation using analytical methods, we may arrive at a solution that is mathematically correct but is not a valid answer due to the restrictions in the type of function used.

For example, if a negative value appears in the logarithmic function, the solution may not be valid because the logarithmic function is only defined for positive values.

In such cases, we need to go back and recheck our work and take into account the restrictions of the function to arrive at a valid solution.

Sometimes when solving an equation analytically, the resulting solution may not be a valid answer due to restrictions in the domain of the function.

For example, if we solve an equation involving a logarithmic function, we may end up with a negative value inside the logarithm, which is not defined for real numbers. In such cases, the solution obtained analytically is not a valid answer to the equation.

Another example is when solving for the roots of a quadratic equation using the quadratic formula, we may obtain complex solutions even though we are only interested in real solutions.

Thus, it is important to always check the solutions obtained to ensure that they satisfy any domain or range restrictions of the functions involved in the equation.

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Answer:

8 = 3a + 4

4=3a

4/3=a

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

a = \(\frac{4}{3}\)

Step-by-step explanation:

To solve for a, you must isolate it (variables on one side, constants on the other):

8 = 3a + 4 (starting equation)

8 - 4 = 3a + 4 - 4 (subtract 4 from both sides)

4 = 3a + 0 (calculate)

4 = 3a (no need to write +0)

\(\frac{4}{3}\) = \(\frac{3a}{3}\) (divide both sides by 3)

\(\frac{4}{3}\) = a (simplify -- 3/3 = 1)

So, a = \(\frac{4}{3}\).

Answer:

  (x, y) = (1, 8)

Step-by-step explanation:

Maybe your equations are ...

Equating the values of y, we have ...

  2x +6 = -3x +11

  5x = 5 . . . . . . . . . . add 3x-6

  x = 1 . . . . . . . . . . . divide by 5

  y = 2(1) +6 = 8

The solution is (x, y) = (1, 8).

The length of the missing side is approximately 6.2 cm.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In mathematical terms, it can be written as:

c² = a² + b²

Where c is the length of the hypotenuse and a and b are the lengths of the other two sides. Using this equation, we can solve for the missing side.

In your case, you have been given the length of the hypotenuse, c, as 8 cm, and one of the other sides, a, as 5 cm. Let's represent the missing side with b. Substituting the given values into the equation, we get:

8² = 5² + b²

Simplifying the equation, we get:

64 = 25 + b²

Subtracting 25 from both sides, we get:

39 = b²

Taking the square root of both sides, we get:

b ≈ 6.2

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Complete Question:

Find the missing side when the value of the side is 5 cm and the hypotenuse is 8 cm. Round to the nearest tenth.

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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Answer:

Step-by-step explanation:

  Number               Estimate using a single digit and power of 10  

23,898,497                      2 × 10⁷          

0.000136                          1 × 10⁻⁴

26,857                              3 × 10⁴

0.0302                             3 × 10⁻²

One sample mean t test is used to to check whether the true average is 59k.

Average:

In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.

Given,

Here we need to find in what test can you use to check whether the true average is 59k.

While we looking into the given question we have identified the following details,

Number of students = 49

True average = 59k

Sample average = 44k

In this given situation, the perfectly suitable test is one sample t test,

Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.

Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.

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Note that 3165 - 1635 = 1530. The above is a subtraction problem.

Subtraction, along with addition, multiplication, and division, is one of the four arithmetic operations. Subtraction is the procedure of removing items from a collection. For example, in the following image, there are 5 2 peaches, which is 5 peaches with 2 removed, for a total of 3 peaches.

Subtraction may be thought of as the inverse of addition. Counting forwards helps children learn to add. To subtract, they just count backward.

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Answer:

0.8

Step-by-step explanation:

Divide the numerator and denominator together to find the answer.

19 / 24 = 0.79166...

Round to the nearest tenth.

0.79166... → 0.8

Best of Luck!

Answer:

0.8

Step-by-step explanation:

numerator ÷ denominator = 0.791..

19 / 24 = 0.791..

0.791 to the tenth is 0.8

Hope this helps :)

Answer:

13

Step-by-step explanation:

The range of a data set is the difference between the greatest and least values in the set. In this case, the greatest value is 15 and the least value is 2 so the range is 15 - 2 = 13.

The series is convergent.

To determine this using the Integral Test, evaluate the integral: ∫(1/x²)e⁻ˣ³ dx from 1 to infinity.


1. Define the function f(x) = ((1/x²)e⁻ˣ³.
2. Ensure f(x) is positive, continuous, and decreasing on [1, infinity).
3. Evaluate the integral: ∫((1/x²)e⁻ˣ³ dx from 1 to infinity.
4. If the integral converges, the series converges; if it diverges, the series diverges.
5. Using substitution, let u = -x³ and du = -3x² dx.
6. Change the integral to ∫-1/3 * \(e^u\) du from -1 to -infinity.
7. Evaluate the integral and find that it converges.
8. Conclude that the series is convergent.

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The sequence converges because option A is correct: |r| = 0.25, which is less than 1.

In a geometric sequence, convergence or divergence is determined by the common ratio (r). If the absolute value of the common ratio |r| is less than 1, the sequence converges. Otherwise, if |r| is greater than or equal to 1, the sequence diverges.

In the given sequence 40, -10, 2.5, -0.625, ..., we can calculate the common ratio by dividing any term by its preceding term. For example, -10 divided by 40 gives us -0.25, 2.5 divided by -10 gives us -0.25, and so on. Therefore, the common ratio is -0.25.

To determine if the sequence converges or diverges, we need to check the absolute value of the common ratio |r|. In this case, |r| is equal to 0.25, which is less than 1. Hence, the sequence converges.

Therefore, option A is correct: The sequence converges because |r| = 0.25, which is less than 1.

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Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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Answer:

793

Step-by-step explanation:

\( \sqrt{490000 =} \)

700

700+93

=793

For   the system of equations { −x+y= 1 , 4x−3y=−5  } Your answer is x= -2,  y=  -1.

To solve the system of equations using the substitution method, we will solve one equation for one variable and substitute it into the other equation.

Step 1: Solve the first equation for x in terms of y:

From the equation -x + y = 1, we can rearrange it to get:

\(x = y - 1\)

Step 2: Substitute the value of x into the second equation:

Substituting x = y - 1 into the equation 4x - 3y = -5, we get:

\(4(y - 1) - 3y = -5\)

Simplifying, we have:

\(4y - 4 - 3y = -5\)

y - 4 = -5

y = -5 + 4

y = -1

Step 3: Substitute the value of y back into the first equation to find x:

Using the first equation -x + y = 1, with y = -1, we have:

\(-x + (-1) = 1\)

-x - 1 = 1

-x = 1 + 1

-x = 2

x = -2

Therefore, the solution to the system of equations is x = -2 and y = -1.

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The probability of helping a coin 75 times and getting tails 35 times or fewer is 0.03%.

The probability of getting tails on a coin flip is 0.5 or 50%. To calculate the probability of getting tails 35 times or fewer in 75 flips, we need to use the binomial probability formula.

This formula calculates the probability of a specific number of successes in a fixed number of trials.

In this case, the formula is P(X<=35) = Σ (75 choose X) (0.5)^X (0.5)^(75-X)

where X represents the number of tails in 75 flips.

Using a calculator or software, we can find that the probability of getting tails 35 times or fewer in 75 flips is approximately 0.0003 or 0.03%.

It is highly unlikely that we would get tails 35 times or fewer in 75 flips

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Answer:

150

Step-by-step explanation:

brainliest?

Answer:

150

Step-by-step explanation:

Answer:

Add them and divide by 2. 5.1 + -1.9= 5.1 - 1.9, which is 3.2. 3.2 divided by 2 is 1.6. That is their midpoint on the number line(I can't plot it).

Answer:

8397 divided by 27 in partial quotients is 311

Step-by-step explanation:

The null hypothesis would state that the population mean number of cups of coffee that women would drink 32% the population mean number cups of coffee than men drink.

The term "percentage" comes from the Latin phrase "per centum," which means "by the hundred." With 100 as the denominator, percentages are fractions. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam received 30% on his math test, he received 30 points out of 100. It is expressed as 30/100 in fractional form and 30:100 in ratio form.

A certain number or quantity in every hundred is referred to as a percentage. It is a fraction, and the denominator is 100.

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We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

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Answer:

Step-by-step explanation:

B

The volume of the water in the fish tank is 135.27 cubic meters if the top 1/3 of the tank is just air.

To find the volume of the fish tank containing water, we need to find the volume of the fish tank and then subtract the volume that is occupied by the air i.e 1/3 of the volume of the tank.

So, the volume of the fish tank is :

=length x width x depth of the tank

=10.2 meters x 5.8 meters x 3.5 meters

= 203.94 cubic meters

Now we need to find the volume of the air that is occupied by the fish tank which is :

=1/3x the volume of the fish tank

=1/3x203.94 cubic meters

=68.67 cubic meters

The volume of the fish tank containing just water is:

=volume of the fish tank - the volume of the air occupied

= 203.94 cubic meters - 68.67 cubic meters

=135.27 cubic meters

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Answer:

0.70104025x^ 435466207018946428

Step-by-step explanation:

The quadrant in the bottom right hand corner.

Answer:quadrant 2 is it

Step-by-step explanation:hope it helps ☺