List the multiples of 6 through 100

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.

From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.

The distance in the table that changes from one row to the next is 1 mile.

The slope is the pace at which the amount of fuel left changes in relation to the change in distance.

The line that passes through the places listed in the table has a slope of -0.04 degrees.

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.

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The most important thing to notice about a table of q-sort correlates is d. general patterns that emerge.

Q-sorting is a method of ranking items in order of preference or importance, and Q-sort correlates are used to identify relationships between the ranked items. The correlations in the table represent how strongly the items are associated with each other based on their rankings.

While the exact value of the correlations is important for statistical analysis, the most valuable information in a table of q-sort correlates is the general patterns that emerge. These patterns can help to identify groups of items that are closely related to each other, as well as those that are more distantly related.

Understanding the wording of specific items may also be important, as it can impact how the items are ranked and how they relate to each other. However, the primary focus of a table of q-sort correlates is on the relationships between the items, rather than the items themselves.

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Answer:-x

Step-by-step explanation:

Because the graph is going left to right downward you know your x has to be negative.  It passes through (0,0) meaning there is no y intercept because the y intercept is 0.  Therefore the answer is D, y=-x

The compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car is:

-22 < F < 266

To write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car, we can use the given information and the formula to convert Celsius to Fahrenheit.

We are told that the antifreeze protects the car at temperatures greater than −30°C and less than 130°C. Using the formula C = (5/9) * (F - 32) to convert these temperatures to Fahrenheit, we get:

-30°C = (5/9) * (F - 32)

130°C = (5/9) * (F - 32)

Simplifying these equations, we get:

F - 32 = (-9/5) * 30

F - 32 = (9/5) * 130

Solving for F in each equation, we get:

F = (-9/5) * 30 + 32

F = (9/5) * 130 + 32

Simplifying, we get:

F > -22

F < 266

Therefore, the compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car is:

-22 < F < 266

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Answer:

I think it's bananas

Step-by-step explanation:

Option a: Adding a constant to each value of a variable will not change the correlation. This is a property of the correlation coefficient, r. In fact, the correlation coefficient only measures the strength and direction of the linear relationship between two variables, and is not affected by any linear transformation, such as adding or subtracting a constant to eachvalue of a variable. Therefore, option a is a property of the correlation coefficient.

Option b: -1 ≤ r ≤ 1 for a least-squares line with positive slope. This is also a property of the correlation coefficient. The correlation coefficient, r, always takes values between -1 and 1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and 1 indicates a perfect positive linear relationship. When a least-squares line has a positive slope, it means that the variables have a positive linear relationship, and therefore, the correlation coefficient should be positive and between 0 and 1. Therefore, option b is also a property of the correlation coefficient.


Option d: r is close to 1 for a strong linear relationship between x and y, and close to -1 for a weak relationship. This is not a property of the correlation coefficient. While it is true that r takes values between -1 and 1, and that values close to 1 indicate a strong linear relationship, and values close to -1 indicate a weak relationship, this is not a fixed property of the correlation coefficient. The strength of the linear relationship depends on the data set and the context of the problem. For instance, a correlation coefficient of 0.8 could be considered strong in some cases, but weak in others. Therefore, option d is not a property of the correlation coefficient.

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s = 7 is the only solution of the equation.

We have to give that,

An expression to simplify,

\(s = 4 + \sqrt{s + 2}\)

Now, Simplify the expression as,

\(s = 4 + \sqrt{s + 2}\)

Subtract 4 on both sides,

\(s - 4 = \sqrt{s + 2}\)

Taking square root on both sides,

\((s - 4)^2 = s + 2\)

\(s^2 + 16 - 8s = s + 2\)

Combine like terms,

\(s^2 - 9s + 14 = 0\)

Apply factorization method,

\(s^2- 7s - 2s + 14 = 0\)

\(s (s - 7) - 2 (s - 7) = 0\)

\((s - 7) (s - 2) = 0\)

This gives two solutions,

\(s - 7 = 0\)

\(s = 7\)

And,

\(s - 2 = 0\)

\(s = 2\)

Put s = 7 in the above equation,

\(s = 4 + \sqrt{s+ 2}\)

\(7 = 4 + \sqrt{7+ 2}\)

\(7 = 4 + \sqrt{9}\)

\(7 = 4 + 3\)

\(7 = 7\)

Hence, 7 is the solution of the equation.

Put s = 2;

\(s = 4 + \sqrt{s+ 2}\)

\(2 = 4 + \sqrt{2+ 2}\)

\(2 = 4 + \sqrt{4}\)

\(2 = 4 + 2\)

\(2 = 6\)

Which is not possible.

Therefore, s = 7 is only the solution.

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Answer:

I hope this will help you

3*5-8

=15-8

=7

Answer:

53520

Step-by-step explanation:

Books left =total books -books included student

books left =66500-8947-4033

i.e.53580

Complete Question:

{(–9, 1), (–5, 2), (0, 7), (1, 3), (6, –10)} Josiah claims that the ordered pair (6, –10) can be replaced with any ordered pair and the set will still represent a function. Select all ordered pairs that could be used to show that this claim is incorrect.

A. (–10, –10)

B. (–9, –6)

C. (–5, 1)

D. (1, 12)

E. (4, 7)

Answer:

\(B.\ (-9, -6)\)

\(C.\ (-5, 1)\)

\(D.\ (1, 12)\)

Step-by-step explanation:

A relation is represented as:

\(R->\{(x_1,y_1),(x_2,y_2),(x_3,y_3)...(x_n,y_n)\}\)

Where

\(x = domain\)

\(y = range\)

For a relation to be a function, the domain must be unique and must not be repeated.

In the given function,

\(\{(-9, 1), (-5, 2), (0, 7), (1, 3), (6, -10)\}\)

The domains are \(\{-9,-5,0,1,6\}\)

So, if (6,-10) is to be replaced;

The domain of the ordered pair that will replace it must not be any of \(\{-9,-5,0,1,6\}\)

From the list of given options:

\(B.\ (-9, -6)\)

\(C.\ (-5, 1)\)

\(D.\ (1, 12)\)

The above can not replace (6,-10) because their domain exist already.

Answer:

To convert fractions to decimals you just divide the top by the bottom — divide the numerator by the denominator — and if the division doesn’t come out evenly, you can stop after a certain number of decimal places and round off. To convert fractions to decimals: If the fraction is a mixed number, change it to an improper fraction.

Answer:

Generalizability is applied by researchers in an academic setting. It can be defined as the extension of research findings and conclusions from a study conducted on a sample population to the population at large. ... The larger the sample population, the more one can generalize the results

Answer:

Generalizability is applied by researchers in an academic setting. lt can be defined as the extension of research findings and conclusions from a study conducted on a sample population to the population at large the larger the sample population,the more one can generalize the results.

l hope it's helpful for u....

Answer:

x = 8 and y = - 1

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (8, - 1 ) with x- coordinate 8, then

x = 8 ← equation of vertical line

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (8, - 1 ) with y- coordinate - 1, then

y = - 1 ← equation of horizontal line

Answer:

Step-by-step explanation:

(4x+8)

4(x+2)

Answer: 0=-4.9t²+19.6t+24.5

Step-by-step explanation:

\(s(t)=gt^2+v_0t+s_0\\v_0=19,6\ \frac{m}{s} \ \ \ \ s_0=24,5\ m\ \ \ \ g=-4,9\ \frac{m}{s^2} \ \ \ \ S(t)=0\ (the\ object \ hitts\ the \ ground)\ \Rightarrow\\0=-4,9t^2+19,6t+24,5.\)

Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

Answer:

i don get it

Step-by-step explanation:

i stil don get it

Answer: 92

Step-by-step explanation:

Observe that the probability is symmetric around \(45^{\circ}\).

If \(0^{\circ} < x < 45^{\circ}\), then \(\cos^2 x > \cos x > \sin x\). By the triangle inequality, it follows that \(\cos^2 x > \sin^2 x+\sin x \cos x\).

We can now rearrange as follows:

\(\cos^2 x > \sin^2 x+\sin x \cos x\\\\\cos^2 x -\sin^2 x > \sin x \cos x\\\\\cos 2x > \frac{1}{2}\sin 2x\)

Since \(\cos 2x\) and \(\sin 2x\) are both positive for the chosen interval,

\(2 > \tan x \implies x < \frac{1}{2}\arctan 2\).

Therefore, the probability is \(\frac{\frac{1}{2} \arctan 2}{45}=\frac{\arctan 2}{90}\).

This means, \(m=2, n=90 \implies m+n=92\).

Answer:

Step-by-step explanation:

The function to represent the population of bacteria after t days can be written as:

P(t) = P0 * (1 + r)^t

where P0 is the initial population (7500), r is the daily growth rate (14% = 0.14), and t is the number of days.

Substituting the values, we get:

P(t) = 7500 * (1 + 0.14)^t

Simplifying, we get:

P(t) = 7500 * 1.14^t

To find the percentage rate of change per hour, we need to convert the daily growth rate to an hourly growth rate. Since there are 24 hours in a day, the hourly growth rate, denoted by h, is given by:

h = (1 + r)^(1/24) - 1

Substituting the value of r, we get:

h = (1 + 0.14)^(1/24) - 1

= 0.005521

So, the percentage rate of change per hour is:

h * 100% = 0.5521%

Rounding to the nearest hundredth of a percent, we get:

h * 100% ≈ 0.55%

78

Step-by-step explanation:

23+28+16+11=78

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If a random variable "z" follows a standard normal distribution and the probability of "z" being greater than "k" is 0.39, then the value of "k" such that satisfies the equation [p(z > k) = 0.39] will be 0.28

As per the question statement, a random variable "z" follows a standard normal distribution.

We are required to determine the value of "k" such that the equation   [p(z > k) = 0.39] is satisfied.

To solve this question, first we will have to calculate the probability of "z" being greater than "k" and then from the Z-table, we will determine the z-score corresponding the above calculated probability value. This z-score will be our desired answer, i.e.,

Given, P(Z > k)  = 0.39

Or, P(Z < k) = (1 - 0.39)

Or, P(Z < k) = 0.61

Now, from the Z table, we get the z-score corresponding to probability value of 0.61 is 0.28

Hence, (k = 0.28)

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Answer:

55

Step-by-step explanation:

The values of the x are -6.59, and -9.42 if the  quadratic equation is (x + 8)² - 2 = 0.

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

The complete question is:

Solve for x.

Enter the solutions from least to greatest. Round to two decimal places.

(x + 8)² - 2 = 0

It is given:

(x + 8)² - 2 = 0

Using (a + b)² = a² + 2ab + b²

x² + 16x + 64 - 2 = 0

x² + 16x + 62  = 0

Compare with the standard form of the equation:

a = 1

b = 16

c = 62

Plug the above values in the formula:

\(\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}\)

x = [-16 ±√8]/2

x = [-16 ±2.83]/2

Take + sign:

x = [-16 + 2.83]/2

x = -6.59

Take - sign:

x = [-16 - 2.83]/2

x = -9.42

Thus, the values of the x are -9.42, and -6.59 if the  quadratic equation is (x + 8)² - 2 = 0.

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Answer:

y = -15

Step-by-step explanation:

All you have to do is 51 divided by -3.4 and it equals -15. Inverse operations in short terms. And if you substitute -15 for y it will fir.

Answer:

-3.4y = 51

y = 51/-3.4

y = 510/-34

y = -15

Answer:

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

0-4= -4

-4-4=-8

-8-4=-12

-12-4=-16

Answer:

- 16

Step-by-step explanation:

To find a term in an AP add the common difference d to the previous term.

d = a₂ - a₁ = - 4 - 0 = - 4

Then next term in sequence is

- 12 - 4 = - 16

(a) An even permutation is a permutation that can be expressed as an even number of transpositions. An is the set of even permutations in the symmetric group Sn. It can be proven that An is a subgroup of Sr, and its order is n!/2, where n > 1.

(b) The permutation a = (21674)(3154) can be expressed as a product of disjoint cycles as a = (1 2)(3 4)(5)(6 7)(8). The order o(a) is the least common multiple of the lengths of the disjoint cycles, which in this case is lcm(2, 2, 1, 2, 1) = 2. To determine if a is even or odd, we count the number of transpositions in its cycle decomposition. In this case, there are 5 transpositions, so a is an odd permutation.

(a) An even permutation is a permutation that can be represented by an even number of transpositions. In the symmetric group Sn, the set of even permutations is denoted as An. To prove that An is a subgroup of Sr, we need to show that it satisfies the three conditions for a subgroup: closure, identity element, and inverse element. By the properties of even permutations, it can be shown that An satisfies these conditions, making it a subgroup of Sr. Furthermore, the order of An is n!/2, where n is the number of elements in the symmetric group.

(b) The permutation a = (21674)(3154) can be expressed as a product of disjoint cycles: a = (1 2)(3 4)(5)(6 7)(8). The order of a, denoted as o(a), is found by calculating the least common multiple of the lengths of the disjoint cycles. In this case, the lengths are 2, 2, 1, 2, and 1, so o(a) = lcm(2, 2, 1, 2, 1) = 2. To determine if a is even or odd, we count the number of transpositions in its cycle decomposition. In this case, there are 5 transpositions (2 in the first cycle, 2 in the second cycle, and 1 in the fifth cycle), indicating that a is an odd permutation.

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The Pythagora´s Theorem, tell us that in a right triangle, the square of the hypothenuse (L²) is equal to :

L² = x² + y²

x  and y are the legs.

The solution is

dy/dt = 48.9 ft/s

We know that in a right triangle:

L²  = x² + y²      (1)

If the helicopter lifts off vertically, that means x ( the horizontal distance between the observing man and the helicopter, maintains constant).

According to that, if we get derivatives with respect to time on both sides of equation (1) we get:

2×L× dL/dt   = 0 + 2×y×dy/dt       (2)

And

L = √ ( 58)² + ( 113)²   = √12769 + 3364    = 127.02 ft

L = 127.02 ft   when y = 113 ft

Now in equation (2) we know:

y = 113 ft    dy/dt = 55 ft/s   L = 127.02  we look for dL/dt

Then by substitution

2×127.02 × dL/dt = 2×113×55

254.04× dL/dt   =  12430

dL/dt  = 48.92

dL/dt = 48.9 ft/s

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Answer:

90 beats per minute

Step-by-step explanation:

320 divided by 4 is 90, which would mean that there is 90 beats per minute

Answer: the answer is 64 beats.

Step-by-step explanation: