Helpppppppppp plzzzzz

The average rate of Superman can be calculated by dividing the change in distance by the change in time.

Average rate = (final distance - initial distance) / (final time - initial time)

Average rate = (1164 - 1372) / (18 - 14)

Average rate = -208 / 4

Average rate = -52 meters per second

To find how far Superman flies every 15 seconds, we can use the concept of proportionality. Since we know the rate at which Superman is flying, we can set up a proportion to find the distance.

Rate = Distance / Time

-52 meters per second = Distance / 4 seconds

Distance = -52 * 15

Distance = -780 meters (Note: Distance cannot be negative, so we consider the magnitude)

C. To determine how close Superman is to Lois after 33 seconds, we can use the average rate to calculate the distance traveled.

Distance = Average rate * Time

Distance = -52 * 33

Distance = -1716 meters (Note: Distance cannot be negative, so we consider the magnitude)

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q is restricted to the interval (0,1), both terms in B''(q) are positive.       B''(q) = -1/q + 1/(1-q) < 0 for q ∈ (0,1).the information gain IG is always greater than or equal to zero. If pi = 0 for i ≠ 1 and ni = 0 for        i = 1, the information gain of the split will be 0.

(a) The second derivative of B(q) with respect to q, denoted as B''(q), can be calculated as -1/q - (-1/(1-q)). Simplifying this expression gives B''(q) = -1/q + 1/(1-q). Since q is restricted to the interval (0,1), both terms in B''(q) are positive. Therefore, B''(q) = -1/q + 1/(1-q) < 0 for q ∈ (0,1).

(b) The information gain (IG) is defined as the difference between the entropy before and after the split, denoted as H(S) - Σi=1^k (pi+ni)/(p+n) * H(Si), where H(S) is the entropy of the original set S and H(Si) is the entropy of subset Si. Based on the properties of entropy, H(S) and H(Si) are both non-negative values. Additionally, the probabilities pi and ni are also non-negative, as they represent the number of positive and negative examples in each subset. Therefore, the information gain IG is always greater than or equal to zero.

(c) If the information gain of the split is 0, it means that the entropy after the split is equal to the entropy before the split. In other words, H(S) = Σi=1^k (pi+ni)/(p+n) * H(Si). To distribute the positive and negative samples such that the information gain is 0, we need to ensure that the entropy of each subset Si is 0. This can be achieved by assigning all positive samples to one subset, say S1, and all negative samples to the remaining subsets, S2, S3, ..., Sk. Therefore, if pi = 0 for i ≠ 1 and ni = 0 for i = 1, the information gain of the split will be 0.

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Answer:

3,6

Step-by-step explanation:

The expression \((3xy^{-3})^{-2}\) without negative exponents is  \(\frac{y^6}{9x^2}\).

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression in exponents \((3xy^{-3})^{-2}\).

Now, Changing the place of exponents from the numerator to the denominator or vice versa changes its sign.

Therefore, \((3xy^{-3})^{-2} = 3^{-2}x^{-2}y^{6}\).

\(3^{-2}x^{-2}y^{6} = \frac{y^6}{3^2x^2}\).

\(\frac{y^6}{3^2x^2} = \frac{y^6}{9x^2}\).

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Answer:

adults 15 and children 9

Step-by-step explanation:

Answer:

The answer is 720

Step-by-step explanation:

Got it right on edge. :)

The equivalent expression of the product expression \(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\) is \(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

The expression is given as:

\(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\)

Rewrite the expression as a product

\(\frac{m^3}{m^2 - 16} * \frac{m^4}{m^2 - 9}\)

Evaluate the product

\(\frac{m^7}{(m^2 - 16)(m^2 - 9)}\)

Rewrite the denominator as a difference of two squares

\(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

Hence, the equivalent expression of the product expression \(\frac{m^3}{m^2 - 16} \div \frac{m^2 - 9}{m^4}\) is \(\frac{m^7}{(m - 4)(m + 4)(m - 3)(m + 4)}\)

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Answer:

-19.8

Step-by-step explanation:

In Fairbanks     ,         at noon    -18

it decreased with 1.2 per hour for the next 7 hours .

so in total  it decreased by  1.2 x 7 =  8.4

so at 7 pm it was   -18-8.4   =    -26.4

In Grand Forks at  7 pm          3/4 of  -26.4   =   -19.8    

Answer:

8'' x 10''

Step-by-step explanation:

Answer: added

Step-by-step explanation:

Answer:

maybe its a and e

Step-by-step explanation:

Answer: A and E

Explanation:

A has a triangle to show the slope. If you count the boxes along the triangle the vertical side is 10 boxes and the horizontal side is 4. This means the slope is 10/4 which simplifies to 5/2.

E doesn’t have a triangle to show the slope but if you count in the triangle pattern from one point to the next point the slope equals 5/2.

The interpretation of h(2) = 0.40 in the context of the given function is that, two seconds after the football is kicked, its height is 0.40 meters.

The interpretation of the equation h(2) = 0.40 in the given context is that the football reaches a height of 0.40 meters, approximately 2 seconds after it is kicked. This equation represents the relationship between time and height, with h(t) denoting the height of the football at time t.

Since the input value is 2, it implies that 2 seconds have passed since the football was kicked. The output value, 0.40, represents the height of the football at that specific time. This interpretation assumes that the height is measured from the ground or the initial position of the football.

It is important to note that the equation does not provide information about the maximum height the football reaches. To determine the maximum height, you would need additional information, such as the form of the function or other data points. The given equation simply gives the height of the football at a specific time, in this case, 2 seconds after it was kicked.

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The function h(t) models the height of a football 't' seconds after it is kicked. The interpretation of h(2)=0.40 is that the height of the football is 0.40 meters at exactly 2 seconds after it is kicked.

In the given function, h(t) represents the height of the football at any time 't' after it is kicked. The given value h(2)=0.40 depicts that the height of the football is 0.40 meters at 2 seconds after the kick. So, at exactly two seconds into its trajectory, the football reaches a height of 0.40 meters.

This does not imply that the ball has reached its maximum height. The maximum height of the ball can be different and would be dependent on various factors such as the initial velocity of the kick, the angle of projection, and the force of gravity.

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The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280.

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Given data ,

Let the principal amount be = A

The value of A = $ 1400

Let the rate of interest be = r

The value of r = 10 %

Let the number of years = T

The value of T = 2 years

Now , the simple interest is calculated by the formula

Simple Interest = ( Principal Amount x Rate x Time Period ) 100

Substituting the values in the equation , we get

Simple Interest = ( 1400 x 10 x 2 ) / 100

Simple Interest = 14 x 20

Simple Interest = $ 280

Therefore , the simple interest in 2 years is $ 280

And , the total amount Patrick has to give back to the bank is given by the formula

Amount in 2 years = Principal + Interest

Amount in 2 years = 1400 + 280

Amount in 2 years = $ 1680

Therefore , the amount in 2 years is $ 1680

Hence , Amount Patrick has to pay back is $ 1680 and the simple interest is $ 280

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The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%. Albinism and hemophilia are both recessive genetic conditions, meaning that both parents must have the recessive gene in order for a child to be born with either condition. Since neither Clara nor Charles have either condition, the probability that their first child will be a boy with both albinism and hemophilia is 0%.

The probability that the first child of Clara and Charles will be a boy with both albinism and hemophilia is 0%, since neither Clara nor Charles have either of these recessive genetic conditions.

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Answer:

The value of w is 3.

Step-by-step explanation:

Parallelograms have equal opposite side measures.

so,

6w = w +15

6w - w = 15

5w = 15

w = 3

Answer:

w=3

Step-by-step explanation:

The opposite arms of parallelogram are equal

So the equation is

6w=w+15

=>6w-w=15

=>5w=15

=>w=15/5

Therefore

w=3

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The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.

In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us

0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16

Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.

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Answer:

Nevaeh was 5 mins in the bank.

Step-by-step explanation:

straight line mean is 'stop'.

Answer:

18

Step-by-step explanation:

Intersecting Secants Theorem:

6(x + 6) = 8(8 + 10)

6x + 36 = 8(18)

6x + 36 = 144

6x = 144 - 36

6x = 108

x = 18

The one mean Z test can be used for small samples of size less than 15 when the population standard deviation is known.

The one-mean z-test is a hypothesis test that is used to test a hypothesis about the mean of a population when the population standard deviation is known, and the sample size is large (typically greater than 30).

When the sample size is small (less than 15), the one-mean z-test is not appropriate because the assumptions of the test may not be met.

When the sample size is small, we typically use a t-test instead of a z-test to test a hypothesis about the population mean.

Specifically, we use a one-sample t-test when the population standard deviation is unknown, and the sample size is small (typically less than 30).

The one-sample t-test uses a t-distribution to calculate the p-value and test the null hypothesis about the population mean.

It is important to note that the sample size of 15 is not a hard and fast rule for when to switch from the z-test to the t-test.

The decision of which test to use depends on the specific context and the assumptions of the test.

In general, if the population standard deviation is unknown and the sample size is small (less than 30), then we use the t-test. If the population standard deviation is known and the sample size is large (greater than 30), then we use the z-test.

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To evaluate the given Boolean equation F = (a) AND NOT(b OR NOT(c)) for each set of variable values:

The Boolean equation F=(a) AND NOT(b OR NOT(c)) can be simplified as follows:

F = a AND (NOT b AND c)

The value of F depends on the values of a, b, and c.

Case A: a=0, b=0, c=0

In this case, F = 0 AND (NOT 0 AND 0) = 0 AND 0 = 0.

Case B: a=1, b=0, c=1

In this case, F = 1 AND (NOT 0 AND 1) = 1 AND 1 = 1.

Case C: a=1, b=1, c=0

In this case, F = 1 AND (NOT 1 AND 0) = 1 AND 0 = 0.

Case D: a=1, b=1, c=1

In this case, F = 1 AND (NOT 1 AND 1) = 1 AND 1 = 1.

Therefore, the correct answers are B and D.

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The fully factorized form of the given expression \(2^{3x-3} -2^{3x-1\) is:

\(2^{(3x-3)} * (-3)\).

what is factorization?

Factorization is the process of finding the factors of a mathematical expression or number. It involves breaking down a given expression or number into its constituent factors such that when the factors are multiplied together, they produce the original expression or number.

What is expression?

In mathematics, an expression is a combination of numbers, variables, and mathematical operations that are used to represent a mathematical quantity or relationship. Expressions can be simple, such as a single number or variable, or they can be complex, involving multiple variables, exponents, and other mathematical functions.

To factorize the expression \(2^{(3x-3)} - 2^{(3x-1)\), we can factor out the common term \(2^{(3x-3)\) from both terms:

\(2^{(3x-3)} - 2^{(3x-1)} = 2^{(3x-3)} * (1 - 2^2)\)

Now, we can simplify the expression in parentheses:

\(1 - 2^2 = 1 - 4 = -3\)

Substituting this back into the equation, we get:

\(2^{(3x-3)} - 2^{(3x-1)} = 2^{(3x-3)} * (-3)\)

Therefore, the fully factorized form of the expression is:

\(2^{(3x-3)} * (-3)\)

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Answer:

A:none

Step-by-step explanation:

Answer:

1st option

Step-by-step explanation:

Just did it

Plug it in.

y = -1, y1 = 1

x = 3, x1 = 1

-1 - 1 = m( 3 - 1)

-2 = 2m

m = -1

The slope is -1

y = -x +b

-1 = -3 +b

b = 2

The equation is y = -x + 2

Hope this helps.

Answer:

y=-1·x+2

Step-by-step explanation:

Answer:

The answer is 38.5

Step-by-step explanation:

I hope this helps!!!!

Answer:

38.5

Step-by-step explanation:

if an odd number is the product, then you have to find the other mutiplant

Or, you can devide. 77 devided by 2.

38.5 is the quotient.

The measure of angle JKL is 105⁰.

The measure of angle KJM is  75⁰.

In an isosceles trapezoid, the property of opposite angles is that they are congruent or equal in measure. Specifically, the two angles that are formed by the intersection of the non-parallel sides with the bases of the trapezoid are opposite angles, and they have the same measure.

The measure of angle JKL is calculated as;

m∠JKL = 27⁰ + 78⁰ = 105⁰

m∠JKL = 105⁰

The measure of angle KJM is calculated as;

m∠KJM = ¹/₂ (360 -  2x105)

m∠KJM = 75⁰

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Write the coefficients of the x-terms as the numbers down the first column.

Write the coefficients of the y-terms as the numbers down the second column.

If there are z-terms, write the coefficients as the numbers down the third column.

Draw a vertical line and write the constants to the right of the line.    

Answer:

111001010001010000101001011101000000011010101110010010010101010010

Step-by-step explanation:

Answer:

$6.40

Step-by-step explanation:

You would multiply

1. 3 x $.65 = $1.95

2. $1.45

3. 2 x $1.50 = $3

Total = $6.40