7b. How many times does a tire with a diameter of 36 in. rotate when it
travels a mile? **Tip: As there are 63,360 in. in each mile, 63,360 divided by
circumference = number of full rotations. Round up to the next whole
number.
561 rotations
281 rotations
880 rotations
440 rotations
* 1 point

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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A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

A polynomial function

Now,

Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.

A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.

Therefore, by the function the answer will be n - 1.

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Answer:

Exact Form:

5/2

Decimal Form:

2.5

Mixed Number Form:

21/2

Answer:

72

Step-by-step explanation:

words per minutes= 1800÷25=72

The vector ū = as a linear combination is ū = [7 3] + J[-2 1]

To find the coefficients for the linear combination of x and y, we need to solve the system of equations: a[6 -1] + b[-5 4] = [u1 u2]

where a and b are the coefficients we want to find. Writing out the system of equations explicitly, we have:

6a - 5b = u1

a + 4b = u2

Solving this system gives:

a = (u1 + 2u2)/17

b = (3u1 - u2)/17

Substituting these coefficients into the linear combination, we get:

ū = [(u1 + 2u2)/17][6 -1] + [(3u1 - u2)/17][-5 4]

= [(6u1 + 3u2 - 2u1 + u2)/17][6 -1] + [(-5u1 + 4u2 + 15u1 - 3u2)/17][-5 4]

= [(4u1 + 4u2)/17][6 -1] + [(10u1 + u2)/17][-5 4]

= [7u1/17 + 2u2/17][6 -1] + [-2u1/17 + u2/17][-5 4]

= [7 3] + J[-2 1]

Therefore, the vector ū can be expressed as ū = [7 3] + J[-2 1].


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Answer:

I got 4

Step-by-step explanation:

I included a picture of how I did it

The number of loans made to clients with a graduate education who also had 12 years of experience is 43.

Let's denote:

A = Number of loans to clients with 12 years of experience

B = Number of loans to clients with a graduate education

A ∪ B = Number of loans to clients with 12 years of experience or a graduate education

From the given information, we have:

A = 89

B = 41

A ∪ B = 113

To find the number of loans made to clients with a graduate education who also had 12 years of experience, we need to calculate the intersection of A and B, denoted as A ∩ B.

Using the formula:

A ∪ B = A + B - A ∩ B

We can rearrange the formula to solve for A ∩ B:

A ∩ B = A + B - A ∪ B

A ∩ B = 89 + 41 - 113

A ∩ B = 17

Therefore, the number of loans made to clients with a graduate education who also had 12 years of experience is 43.

Based on the loan database, there were 43 loans made to clients who had both a graduate education and 12 years of business experience. This information provides insights into the intersection of two specific criteria for loan recipients and helps understand the lending patterns of the organization.

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The expression "raise b to the 2nd power" means to multiply b by itself, which can be written as \(b^2\). The expression \((b^2)/8\) represents this quotient.

When we say "raise b to the 2nd power", it means we are squaring b, which is equivalent to multiplying b by itself. So, \(b^2\) represents the result of multiplying b by itself.

Next, the phrase "find the quotient of the result and 8" means we need to divide \(b^2\) by 8. Dividing \(b^2\) by 8 gives us the expression \((b^2)/8\), which represents the quotient we are looking for. We do not simplify the expression any further, because the instructions say to "not simplify any part of the expression."

So, \((b^2)/8\) is the final answer. This expression is still in fraction form, and it can be useful to keep it in this form if we are using it to solve a larger problem or if we want to keep the answer as precise as possible. If we want to convert it to decimal form, we can use a calculator to divide \(b^2\) by 8.

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Answer:

38

Step-by-step explanation:

Answer:

The answer should be $30.

Answer:

30 * t

Step-by-step explanation:

The garden club earned $15 per hour by weeding neighborhood gardens for t hours.

A generous donor has agreed to double their earnings.

Double their earnings means we multiply by 2

So earning 15 per hour becomes 2*15 = 30 per hour

Given the number of hours is t

Earnings = $30 times number of hours

Earnings = 30 * t

Answer:

2 (4y+7) = 62. y=6

Step-by-step explanation:

2 (4y+7) Distribute the 2

8y+14=62. use subtraction to cancel out

-14 -14

8y=48. Use division to cancel out

/8. /8

y=6

Answer:

136 :)

Step-by-step explanation:

112 + 24 = 135

180 - 136 = 44

180 - 44 = 136

Answer:

Step-by-step explanation:You know that all angles in a triangle add to 180 degrees. So you do:

112+24= 136

Then,

180-136= 44

44 is the angle ont the other side of the question mark. So we know that 44 and the unkown angle add to 180, So,

180-44= 136

So the unknown angle is 36.

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

This is a trapezoidal prism, which is defined as

\(V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}\)

This is a triangular prism, which is defined as

\(V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}\)

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

\(V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}\)

Answer:

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6)  Draw a line to join those 2 points.  The inequality is ≤ that means the solutions are the points on the line and below the line.  This is shown in the pink shading.

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y-axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6) Draw a line to join those 2 points.  

The inequality is ≤ which means the solutions are the points on the line and below the line.  This is shown in the pink shading.

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7.  yes

8. yes

9. no

10. no

(a) The population proportion of success is given as 53%. This means that 53% of the population is expected to have a successful outcome from the flu shot.

To calculate the population proportion of success, we are given that the flu vaccine is effective for 53% of patients administered the shot. This means that 53% (or 0.53) of the entire population is expected to have a successful outcome from the flu shot.

(b) The mean of the sampling distribution of the sample proportion is also 53%.

The mean of the sampling distribution of the sample proportion can be calculated using the same population proportion of success, which is 53%. The sampling distribution represents the distribution of sample proportions if multiple samples of the same size are taken from the population. Since the mean of the sampling distribution is equal to the population proportion, the mean in this case is also 53%.

(c) The standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

To calculate the standard deviation of the sampling distribution of the sample proportion, we use the formula:

\(\sigma = \sqrt{\frac{p \cdot q}{n}}\)

where σ represents the standard deviation, p is the population proportion of success (0.53), q is the complement of p (1 - p, which is 0.47), and n is the sample size (85).

Plugging in the values, we get:

\(\sigma = \sqrt{\frac{0.53 \cdot 0.47}{85}}\)

Calculating this expression, we find:

\(\sigma \approx \sqrt{\frac{0.0251}{85}} \approx \sqrt{0.000295} \approx 0.0171\)

Rounding this value to three decimal places, the standard deviation of the sampling distribution of the sample proportion is approximately 0.017.

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Answer:

Step-by-step explanation:

Positive: -1/-3, -2/-2, +2/+3, -1/+3

the rest of them are negative

Answer:

Positive: 1+/+3  -2/-3  +2/+3  -1/-3 negative:-2/+3 +2/-3  -1/+3  +1/-3

Step-by-step explanation:

Answer:

cot (3ocπ/4)⠀⠀

6(f+4) + 2(f+4)

Use the distributive property:

6f+24 + 2f + 8

Now combine like terms:

8f +32

The answer is 8f + 32

Answer:

8 f + 32

Step-by-step explanation:

6 ( f + 4 ) + 2 ( f + 4 )

Distribute

6 × f + 6 × 4 + 2 × f + 2 × 8

6 f + 24 + 2f + 8

Collect like terms

6 f + 2 f + 24 + 8

Add the numbers

8 f + 32

Answer:

(A) 21

Step-by-step explanation:

5x-15 needs to equal 90 since it is a right angle and 21 makes that true

\((5*21)=105\\105-15=90\)

Step-by-step explanation:

A+B=180

(9×+15)×(3×-15)=180

12×=180

×=180\12

×=15 ans,,

\(\displaystyle \Large \boldsymbol{} a) \ \underline{x^2-3x}+\underline{2x-6}-\underline{xy+3y}=\\\\\\x(x-3)+2(x-3)-y(x-3)=\boxed{(x-3)(x-y+2)} \\\\\\b) \ mn-mx-n+x=m(n-x)-(n-x) =\boxed{ (m-1)(n-x)}\)

Answer:

348468

Step-by-step explanation:

Answer:

348,468

Step-by-step explanation:

Hope it's help you !!!!:)

Answer:

needed what??????????

Answer:

Your answer, many solutions is correct!

Step-by-step explanation:

The answer one solution is incorrect because there is more than one solution to this equation.

The answer no solution is incorrect because there is a solution to this equation so clearly, this one is incorrect.

The answer many solutions is correct because there are two solutions to this equation, \(y=-3,\:x=\frac{9}{2}\).

hope this helps!!!

(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)

Answer:

yeah correct

Step-by-step explanation:

y=1.5x

The weight of one single Twix candy bar: 1.5 ounces.

1) A proportional relationship, graphically is described as a linear function with the line passing through the origin.

As we see in the graph.

2) If 20 candy bars weigh 30 ounces, then we can set a table:

Twix candy bar (x) | weight (y)

20 30

10 15

5 7.5

1 1.5

Therefore we can write an equation, for that proportional behavior:

y=kx

y=1.5x

The meaning of (1,1.5) is simply the unit rate for the Twix candy bar and its weight. Or in other words, the weight of one single Twix candy bar: 1.5 ounces.

3) The answers are:

y=1.5x

The weight of one single Twix candy bar: 1.5 ounces.

I know I got the last one wrong, so I will hopefully get this one right

I am not that great with Proportional and Not Proportional, but

1. Y is 0.5 times x

2. Y is 1.5 times x

An area on the graph that represents the amount of goods the company could actually produce include the following: C. The area inside the curved line.

In Economics and Mathematics, a production possibilities curve (PPC) is sometimes referred to as the production possibilities diagram or the production possibilities frontier (PPF) and it can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that represents the amount of goods which this company could actually produce is the area inside or within the curved line.

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