How many yards are in 1 mile 300 feet? O 5,580 yards O2, 660 yards O 1, 860 yards 2,060 yards​

The number of randomly presented items that children can repeat immediately after the items are presented is called their immediate memory span or short-term memory capacity.

The number of randomly presented items that children can repeat immediately after the items are presented is called their immediate memory span or short-term memory capacity.

The capacity of short-term memory is limited and varies from person to person and depending on the complexity of the information being presented.

The typical range of immediate memory span for children is around 5 to 9 items, with older children and adults having a slightly larger capacity.

However,

Some individuals with exceptional memory abilities, such as memory athletes, can recall significantly more items in short-term memory.

Factors that can affect short-term memory capacity include the nature of the items being presented their familiarity or meaningfulness, the duration of the presentation and the individual's level of attention and working memory capacity.

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The 14.9% increase in Sylvia's lead lathe tech's hourly wage of $18.50 results in a $2.75 per hour increase. Assuming the lead lathe tech works 2,080 hours per year, the additional cost to Sylvia's annual wages budget would be approximately $5,720, excluding benefits or taxes.

First, we need to find the percentage increase in the lead lathe tech's hourly wage. The increase requested is $2.75, which is 14.9% of the current wage rate ($18.50). To calculate the percentage increase, we divide the increase by the current wage rate and multiply by 100: ($2.75 / $18.50) * 100 ≈ 14.9%.

To determine the additional cost to Sylvia's annual wages budget, we need to know the total number of hours worked by the lead lathe tech in a year. Let's assume the lead lathe tech works 40 hours per week and there are 52 weeks in a year, resulting in a total of 2,080 hours.

To calculate the annual cost of the wage increase, we multiply the hourly increase ($2.75) by the total number of hours worked (2,080): $2.75 * 2,080 ≈ $5,720.

Therefore, the 14.9% increase in the lead lathe tech's hourly wage will cost Sylvia an additional $5,720 in her annual wages budget, excluding benefits or taxes.

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Answer:

-7(2+5d)

Step-by-step explanation:

I'm sorry if is not the correct the answer

Answer:

-7(2+5d)

Step-by-step explanation:

-7(2+5d)=-14-35d

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

\(a+ar+ ar^2+ ar^3+...\)

Here,

is the (a) first term of the sequence, and (r) is the common ratio.

To be a series as geometric series diverges, it should follow,

\(|r| > 1\)

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

\(r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}\)

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

\(r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}\)

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

\(|r|=|-4|\\|r|=4\)

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

\(\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}\)

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Answer:

its C

Step-by-step explanation:

To find the maximum volume of a cylinder inscribed in a sphere of radius r, we need to use optimization techniques. The cylinder should be such that its height is equal to its diameter and both should be equal to the diameter of the sphere. This means that the cylinder should be a cube with its diagonal equal to the diameter of the sphere.

Let the diameter of the sphere be 2r. The diagonal of the cube is equal to the diameter of the sphere, so its side is r√3. The volume of the cube is (r√3)^3 = 27r^3.

Since the cylinder is inscribed in the sphere, its radius is r and its height is 2r. The volume of the cylinder is πr^2(2r) = 2πr^3.

To maximize the volume of the cylinder, we need to differentiate the volume equation with respect to r and set it equal to zero:

d/dx (2πr^3) = 6πr^2 = 0

This gives us r = 0, which is not a valid solution. Therefore, the maximum volume of the cylinder inscribed in the sphere of radius r is 2πr^3, when the cylinder is a cube with its diagonal equal to the diameter of the sphere.

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Answer:ok

Step-by-step explanation: good job

The output of the program code block given will be two.

Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation.

Given is the following code structure -

x = 6 % 2

if x == 1:

  print("ONE")

else:

  print("TWO")

If we dry run the program, we can write -

x = 6 % 2

x = 0

Now, x is not equal to 1, therefore, it will print two.

Therefore, the output of the program code block given above will be two.

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If you are asking for the value of g, it is as follows.

4g-2g=30

2g=30

g=15

Therefore, the g=15.

Answer:

15

Step-by-step explanation:

4g-2g = 30

2g = 30

g = 15

Answer:

d. a power analysis; tells the researcher the number of participants needed for trustworthy results.

Step-by-step explanation:

A control experiment can be defined as an experiment in which a condition assumed to be a probable cause of the effect is being compared to the same situation by the scientist without involving or using the suspected condition.

A hypothesis is considered to be tentative or an educated guess and can be defined as a testable explanation for an observation or a scientific problem. An example of a hypothesis is saying, Corona virus is caused by the introduction of the "5G" technology.

This ultimately implies that, for any hypothesis to be acceptable in science, it must be supported by observations and the results of control experiments; this give rise to factual informations, theories and by extension solutions to problems.

Before hypothesis testing and at the beginning of a study, a researcher is advised to conduct a power analysis because it tells the researcher the number of participants needed for trustworthy results.

A power analysis should always be conducted before the collection of data because it will help you as a researcher to determine the smallest sample size that's accurate enough to detect the effect of a specific test at the desired statistical significance level.

4600 is the loan's future value, a, or the total amount due at time t.

What Is Simple Interest?

P=$4000

r=5%

t=3 years

Now we have to find th loans future value A.

So

Simple interest me I=prt=(4000)(.05)(3)=600

Total due is Principal + Interest =4000+600= 4600

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The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

Let x represent the number of pounds of bananas sold and y represent the grapes sold, hence:

x + y = 52   (1)

Also:

x + 2.25y = 72    (2)

The system of equations that represent this situation is x + y = 52 and x + 2.25y = 72

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The value of x in the function is 65 degrees

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

sin 25° = cos x°

if the angles are in a right triangle, then we have tehe following theorem

if sin a° = cos b°, then a + b = 90

Using the above as a guide, we have the following:

25 + x = 90

When the like terms are evaluated, we have

x = 65

Hence, the value of x is 65 degrees

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Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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The statement that best describes the composition of most foods is: "They contain mixtures of the three energy nutrients, although only one or two may predominate."

Most foods contain mixtures of the three energy nutrients, namely carbohydrates, proteins, and fats. However, the relative proportions of these nutrients can vary significantly from one food to another. In some foods, one or two of these nutrients may predominate, while others may contain relatively equal amounts of all three.

Carbohydrates are a primary source of energy for the body and can be found in various forms such as sugars, starches, and fibers. Foods like grains (e.g., rice, wheat, oats), fruits, vegetables, and legumes tend to be rich in carbohydrates. However, the specific types and amounts of carbohydrates can vary widely.

Proteins are crucial for building and repairing tissues, as well as for various metabolic functions. Foods like meat, poultry, fish, eggs, dairy products, legumes, nuts, and seeds are excellent sources of protein. Again, the protein content in different foods can vary.

Fats, also known as lipids, are an important energy source and provide essential fatty acids. Foods such as oils, butter, avocados, nuts, and fatty meats are high in fats. Like carbohydrates and proteins, the fat content in foods can differ significantly.

It's worth noting that some foods may predominantly consist of one specific nutrient. For example, pure sugar is almost entirely composed of carbohydrates, while pure oil is almost entirely composed of fats. However, most whole foods, such as fruits, vegetables, grains, meats, and dairy products, contain a mixture of these energy nutrients.

Furthermore, a balanced diet typically includes a combination of these nutrients in appropriate proportions. A varied diet that incorporates a range of foods from different food groups helps ensure an adequate intake of carbohydrates, proteins, and fats, along with other essential nutrients required for optimal health.

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Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5

Answer:

28

Step-by-step explanation:

DI is a radius

CJ is a diameter

The diameter is twice the radius

CJ = 2 * DI

CJ = 2 * 14

CJ = 28

For the function f(x)=5x2−10x + 1 on the interval [−5,3], absolute maximum 126, and the absolute minimum is -4. The absolute maximum and absolute minimum of a function refer to the largest and smallest values that the function takes on over a given interval, respectively.

To find the absolute maximum and absolute minimum of the function f(x) = 5x² - 10x + 1 on the interval [-5, 3], follow these steps:

So, the absolute maximum of the function f(x) = 5x^2 - 10x + 1 on the interval [-5, 3] is 126, and the absolute minimum is -4.

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Answer:

Step-by-step explanation:

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equals sign "=".

The answer is

\( {x}^{2} {y}^{3} \)

I hope this helps, have a great day!

Answer:

Step-by-step explanation:

Use Pythagorean's theorem. If the sides satisfies Pythagorean theorem, then, they form a right angled triangle.

The longest side is hypotenuse.

Hypotenuse² = base² + altitude²

10²  = 6² +8²

100 = 36 + 64

100 = 100

So, 6cm, 8cm, 10 cm makes an right angles triangle.

Answer:

k=0

Step-by-step explanation:

6(k+2)+1=13 first  distribute

6k+12+1=13 then combine like terms

6k+13=13   then subtract 13

    -13   -13

6k=0 then divide 6

/6    /6

k=0

Answer: 1/250

Step-by-step explanation: you could literally demos scientific calculator to get the Answer

Answer:

Step-by-step explanation:

p = x + 3x - 3 + 5x - 6

p = 9x - 9

Answer:

57

Step-by-step explanation:

100 - 43 =

57

Answer:

He got 57% wrong

Step-by-step explanation:

If he got 43% correct, there is 100 percent on the assignment

100 -43 = 57

He got 57% wrong

Answer:

-1 1/3

Step-by-step explanation:

4-8=-4

-4/3

-1 1/3

Hope this has helped. have a good day.

Answer:

-4/3

Step-by-step explanation:

First solve the numerator

4-8 = -4

Then divide by the denominator

-4/3

The result is -4/3

Hey there!

\(\bold{5(3x+4)-4}\\\bold{5(3x)+5(4)-4}\\\bold{5(3x)=15x}\\\bold{5(4)=20}\\\bold{15x+20-4}\\\bold{COMBINE\ your\ LIKE\ TERMS\downarrow}\\\bold{15x +(20-4)}\\\bold{20 -4=16}\\\bold{= 15x +16}\\\boxed{\boxed{\bold{Answer: 15x+16}}}\huge\checkmark\)

Good luck on your assignment and enjoy your day!

~\(\frak{Amphitrite1040:)}\)

Answer:

root 194=13.928 inches

Answer:

Yes, I reccommended double checking and actually doing a bit of work would increase the odds.

The equation of the line that is perpendicular to this line and passes through the point (5, −1) is y = (9/4)x - (49/4) and the equation of the line that is parallel to this line and passes through the point (5,−1) is y = (-4/9)x + (11/9).

An equation of a line is provided: -4x - 9y = 2

                                       -9y = 4x + 2

                                    y = (-4/9)x - 2/9

The slope-intercept form of the line is y = mx + c

So, the Slope of the line is -4/9

The slope of the perpendicular line is -1/(-4/9) = 9/4

Equation of line with slope 9/4 and containing the point (5, -1):

                                  y - (-1) = (9/4)(x - 5)

                                          y = (9/4)x - (49/4)

Parallel lines have the same slope, so the equation of the line with slope -4/9 and which contains the point (5, -1) is:

                              y - (-1) = (-4/9)(x - 5)

                               y = (-4/9)x + (11/9)

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Answer:  2.815 kilograms

======================================================

Work Shown:

1 layer = 0.5 kg

5 layers = 5*(0.5 kg) = 2.5 kg

icing = 15 g = 15/1000 = 0.015 kg

1 candle = 100 g = 100/1000 = 0.1 kg

3 candles = 3*(0.1 kg) = 0.3 kg

------------------------

The five layers combine to 2.5 kg. On top of that we have 0.015 kg of icing, and then finally the three candles add 0.3 kg more weight.

The total weight is therefore: 2.5+0.015+0.3 = 2.815 kilograms