HELLPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answer:

60% Increase

Step-by-step explanation:

Ayesha scored 5 more goals over her previous goal count of 8.  That means:

(5/8) = 0.60 or 60% increase.

A 60% increase means a factor of 1.6 (1 + 0.6)

(8 goals)*(1.6) = 13 goals

Answer:

13 _18= 5

5/13×100%=38.46%

Answer:

Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Step-by-step explanation:

Assume that p(x) represents the density function for American men's heights in inches and that p(69) = 0.18. Consider the implications of this mathematical statement carefully. How many men in America are between 68.9 and 69.1 inches tall on average? Percentage, roughly.

If p(x) is the density function for the heights of American men, then p(69) = 0.18 means that the probability density at x = 69 inches is 0.18.

We can integrate the density function over the range [68.9, 69.1] to determine the approximate percentage of American men who are between 68.9 and 69.1 inches tall:

P(68.9 ≤ x ≤ 69.1) = ∫₀.₁₃ p(x) dx ≈ 0.036

So, approximately 3.6% of American men are between 68.9 and 69.1 inches tall.

We would anticipate p(75)  p(69) if American men are on average 69 inches tall because the distribution is most likely symmetric around the mean and taper off as we move away from the mean in either direction.

P(69) = 0.5 indicates that 50% of American men have heights that are less than or equal to 69 inches if P(h) is the cumulative distribution function of p. We can use the density function and integrate over the corresponding intervals to estimate P(68.9) and P(68.8):

P(x ≤ 68.9) ≈ ∫₀.₁₃ p(x) dx ≈ 0.5 - 0.036/2 ≈ 0.482

P(x ≤ 68.8) ≈ ∫₀.₂₃ p(x) dx ≈ 0.5 - 0.036 - 0.013 ≈ 0.451

So, approximately 48.2% of American men have heights less than or equal to 68.9 inches, and approximately 45.1% have heights less than or equal to 68.8 inches.

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Using proportions, it is found that the work required to compress the spring an additional one-half inch is of 1.0625 ft-lb.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For 4 inches, 8.5 ft-lb of work is needed, hence for a single inch the amount needed is:

8.5/4  = 2.125.

Hence for half an inch, the amount if:

0.5 x 2.125 = 1.0625 ft-lb.

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The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Answer:

i. a = -6 ii. b = 12 iii. 100 iv. 26.6°

Step-by-step explanation:

Since the weight of the object is 20 N and directed downwards, its vector is -20j. Now, since the particle is in suspension, AP + BP = -20j

So, since AP = ai + 8j and BP = 6i + bj,

AP + BP = -20j

ai + 8j  + 6i + bj = -20j

ai + 6i + 8j + bj = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

equating the components on both sids,

a + 6 = 0 and 8 + b = 20

a = -6 and b = 20 - 8 = 12

i. The value of a is -6

ii. The value of b is 12

iii. The magnitude of the tension in string AP is?

since AP = ai + 8j  = -6i + 8j

magnitude of AP = √[-6² + 8²] = √[36 + 64] = √100 = 10

iv. The angle that string BP makes with the vertical is?

Since BP = 6i + bj = 6i + 12j, the angle it makes with the horizontal is Ф = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Thus, the angle it makes with the vertical is thus 90° - 63.44° = 26.56° (complementary angles) ≅ 26.6° to 3 s.f

1) The values of a and b of the given vectors are respectively; -6 and 12

2) The magnitude of the tension in string AP is; 10

3) The angle that string BP makes with the vertical is; 26.6°

We are told that the weight of the particle P is 20 N. Since the particle is suspended by two strings, then its' direction is downwards and as such its vector is -20j.

By equilibrium;

AP + BP = -20j

1) We are given the tension vectors;

AP = ai + 8j and BP = 6i + bj,

Thus;

ai + 8j  + 6i + bj = -20j

(ai + 6i) + (8j + bj) = -20j

(a + 6)i + (8 + b)j = -20j

(a + 6)i + (8 + b)j = 0i - 20j

Equating the components of both sides gives;

a + 6 = 0 and 8 + b = 20

Solving gives;

a = -6 and b = 20 - 8 = 12

Thus, the values of a and b are -6 and 12

2) The magnitude of the tension in string AP is gotten from resolution of the tension vector AP;

AP = ai + 8j  = -6i + 8j

Thus, magnitude of AP = √(-6² + 8²) = √(36 + 64) = √100 = 10

3) The angle that string BP makes with the vertical is gotten from;

BP = 6i + bj = 6i + 12j

Thus, the angle it makes with the horizontal;

θ = tan⁻¹(12/6) = tan⁻¹(2) = 63.44°.

Angle it makes with the vertical = 90° - 63.44° = 26.56° ≈ 26.6°

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The pay difference between Group A and Group B and the presence of payment in Condition A compared to Condition B can influence motivation, but it is essential to consider individual differences and other factors that contribute to motivation.

1. The motivation level of individuals who are paid more ($20/hr) for a task (Group A) compared to those who are paid less ($8/hr) for the same task (Group B) may vary.

It is difficult to determine a clear answer as motivation is influenced by various factors and can vary from person to person.

While higher pay may initially serve as a motivator for some individuals in Group A, it does not guarantee a higher level of motivation compared to Group B.

Other factors such as job satisfaction, intrinsic motivation, and individual goals also play a significant role in determining motivation levels.

2. The presence of payment ($20/hr) for a task (Condition A) may have the potential to increase motivation compared to when individuals are not paid (Condition B). However, this also depends on individual factors and the specific task at hand.

The impact of payment on motivation can vary among individuals. Some individuals may be motivated solely by financial incentives, while others may be motivated by factors such as personal growth, recognition, or the nature of the task itself.

In conclusion, both the pay difference between Group A and Group B and the presence of payment in Condition A compared to Condition B can influence motivation, but it is essential to consider individual differences and other factors that contribute to motivation.

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The equivalent value of the sum for any value of "x" is 12x - 6

Given the sum of the expression as:

3

∑ k(2x-1)

k=0

We need to take the sum of the function at the point where k = 0 to 3

3

∑ k(2x-1) = 0(2x-1) + 1(2x - 1) + 2(2x-1) + 3(2x - 1)

k=0

3

∑ k(2x-1) = 2x-1+4x-2+6x-3

k=0

3

∑ k(2x-1) = 12x - 6

k=0

Hence the equivalent value of the sum for any value of "x" is 12x - 6

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Answer:

y=0

Step-by-step explanation:

you see the graph stop at the y-axis

Answer:

324 miles

Step-by-step explanation:

Set up a proportion

243

12

=

x

16

Cross multiply

12

x

=

3888

x=324 miles

The minimized SOP expression for F(A,B,C,D,E) using a five-variable Karnaugh map is D'E' + BCE'. A five-variable Karnaugh map is a graphical tool used to simplify Boolean expressions.

The map consists of a grid with input variables A, B, C, D, and E as the column and row headings. The cell entries in the map correspond to the output values of the logic function for the respective input combinations.

To find the minimized SOP expression, we start by marking the cells in the Karnaugh map corresponding to the minterms given in the function: 2m(4,5,6,7,9,11,13,15,16,18,27,28,31). These cells are identified by their binary representations.

Next, we look for adjacent marked cells in groups of 1s, 2s, 4s, and 8s. These groups represent terms that can be combined to form a simplified expression. In this case, we find a group of 1s in the map that corresponds to the term D'E' and a group of 2s that corresponds to the term BCE'. Combining these groups, we obtain the expression D'E' + BCE'.

The final step is to check for any remaining cells that are not covered by the combined terms. In this case, there are no remaining cells. Therefore, the minimized SOP expression for the given logic function F(A,B,C,D,E) is D'E' + BCE'.

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Hope this helps!

Multiply 15 by 9, then divide by 2 and Multiply 15 by 9, then mltiply by 1/2.

The value of w in the similar rectangle is 27 units.

For two rectangles to be similar, their sides have to be proportional (form equal ratios).

Therefore, let's use the proportional relationship of the rectangle to find the value of w in the rectangle as follows:

9 / w = 16 / 48

cross multiply

9 × 48 = 16w

16w = 432

divide both sides by 16

w = 432 / 16

w = 27 units

Hence, the value of w is 27 units

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All of the criteria's are fulfilled the survey is valid.

We have the information from the question:

The proportion of college football players who have had at least one concussion is estimated to be 34% in the united states.

Then, 34% = 0.34

The sample size of the data is = 100

p: the ‘proportion’ of ‘college’

The required conditions for testing the hypothesis of population proportion are,

(i) The population is larger than the sample

(ii) np > 10

=> 100 × 0.34

      =34

(iii) n(1-p) > 10

100 × (1 - 0.34)

=> 100 × 0.66

      =66

iv)The ‘sample’ is drawn randomly from the population.

Since all of the above criteria's are fulfilled the survey is valid.

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The calculated mass of the object is 78048 grams

From the question, we have the following parameters that can be used in our computation:

length of 9 inches, a width of 7 inches, and a height of 4 inches.

So, the volume of the object is

Volume = 9 * 7 * 4

Evaluate

Volume = 252 cubic inches

Convert to cubic cm

Volume = 4129.54 cubic cm

The object’s density is 18.9 grams per cubic centimeters

So, we have

Mass = 18.9 * 4129.54

Evaluate

Mass = 78048

Hence, the mass of the object is 78048 grams

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180 - 145 = 35

180 - 80 - 35 = 65

x = 65

Answer:

.05 or 1/20

Step-by-step explanation:

If you meant 3/10 divided by 6 then the answer is .05 aka 1/20

May I have brainliest if this helped you?

Hope this helped!!

Bella was here :)

You either meant the fraction 3/10 by 6 or 3 divided 10 divided by 6

Since I am not sure which one, I will do the work for both

1. 3/10 / 6

Convert 6 into a fraction

6 = 5 10/10

5 10/10=50/10

3/10 / 50/10

3/10 * 10/50 = 30/500

30/500= 3/50

3/50

2. 3 divided by 10 divided by 6

3 divided by 10 = 0.3

0.3 divided by 6 = 0.05

0.05

Hope this helps

It is important to note that while the standard potential (E°) of each half-reaction may be zero in this case, the actual cell potential (E) can still be influenced by factors such as concentrations, temperature, and pressure.

In a cell where the two half-reactions are identical, the standard potential (E°) is equal to zero.

The standard potential (E°) of a half-reaction is a measure of the tendency of a species to gain or lose electrons. It is defined as the potential difference between the half-reaction and a standard reference electrode, usually the standard hydrogen electrode (SHE), under standard conditions (1 M concentration, 1 atm pressure, 25°C temperature).

When the two half-reactions in a cell are identical, it means that they involve the same species undergoing the same oxidation or reduction process. In this case, the half-cell potentials of both half-reactions are equal in magnitude but have opposite signs. The overall cell potential (Ecell) will be the difference between these two potentials, resulting in a net potential of zero.

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Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

Answer:

$27

Cost = 20 + 1x = 20 + x

Step-by-step explanation:

Membership fee is $20 per month. This amount has to be paid whether he buys pizzas or not that month

If x is the number of pizzas, the total cost for 7 pizzas at discounted price of $1 is  20 + 7 x 1 = $27

For  x pizzas, the equation is

Cost = 20 + x

The value of k is 6

In this question, we have been given In a high school, 20% of the students own a supercharged Greased Lightning 409 car while the other 80% own a feeble Milquetoast car. Last year the students owning a 409 received 60 speeding tickets while the students owning a Milquetoast received 10 speeding tickets.

A student owning a 409 was k times more likely to receive a ticket than a student owning a Milquetoast.

We write this statement in mathematical expression form as,

60 = 10 * k

We need to find the value of k

Consider above equation,

60 = 10 * k

k = 60/10

k = 6

Therefore, the value of k is 6

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Answer:

the answer is 30

you do :

90+60=150

180-150=30

Answer:

x = 12 y = 10.392

Step-by-step explanation:

Calculators are very helpful these days.

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

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Answer:

The common difference of the sequence 5,8,11,14 is 3.

Answer:

the answer is 3

Step-by-step explanation:

5 + 3 = 8

8 + 3 = 11

11 + 3 = 14, therefore the common difference of the arithmetic sequence is three.

The perimeter and the area of the square 80 mm² and 16√5 mm.

Area of square= side * side

Perimeter of square =4 * side

Given:

side= 4√5 mm

Area of square= side * side

Area of square=  4√5 *  4√5

Area of square= 80 mm²

Perimeter of square =4 * side

Perimeter of square =4 *  4√5

Perimeter of square = 16√5 mm

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Answer:

Using the slope-intercept form, the slope is 34 . All lines that are parallel to y=3x4+2 y = 3 x 4 + 2 have the same slope of 34 .

Step-by-step explanation:

3/4

The slope of a line describes the steepness of a line, as well as the direction.

Slope-Intercept Form

To answer the question, we first need to find the slope of the original line. This line is represented in the slope-intercept form, which is y=mx+b.

So, using this information we can say that the slope is 3/4.

Parallel Lines

Parallel lines are 2 lines that will never intersect. You can tell if 2 lines are parallel by their slopes. All parallel lines have equal slopes.

This means that the slope of a line parallel to y = 3/4x + 2 must be 3/4 as well.

Answer:

Its B

Step-by-step explanation:

you add them all up to get 430 degrees

then you subtract 540 degrees to get 110 degrees.

Hope this helped

Answer:

x=45

Step-by-step explanation:

you would change it to 90-x=x because the angles are congruent and then add x on both sides until it is 90=2x, divide 2 from both sides to get 45=x