Give simple working out please

Answer:

15 minutes

Step-by-step explanation:

Laura is running 2 miles per hour faster than Tony. (7-5)

if she catches op 2 miles per hour

she will catch up 1 mile per half hour

and 0.5 mile per 15 min

The length of a side of the hexagon or square is - 16 units

The length of a side of the hexagon or square = x

The perimeter of the square = 4 × lengths of its side

                                               = 4x

The perimeter of the hexagon = 6 × lengths of its side

                                                  = 6x

According to the question,

                                           4x + 32 = 6x

                                       ⇒ 6x - 4x = 32

                                       ⇒  2x = 32

                                       ⇒  x = 16

So, the length of a side of the hexagon or square is - 16 units.

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According to current fiscal policy theory, the best decision to help end a recession in the United States would be to increase government spending. This is based on the Keynesian theory that during a recession, there is a lack of aggregate demand in the economy, and government spending can help stimulate demand and encourage economic growth.

By increasing government spending on infrastructure, education, and other public services, it can create jobs, increase consumer spending, and boost economic activity. Additionally, the government can also implement tax cuts, which can give consumers more disposable income to spend and also stimulate demand.

However, it's important to note that the effectiveness of fiscal policy in ending a recession can be influenced by various factors such as the magnitude of the recession, the timing of the policy implementation, and the government's ability to finance the policy measures. Therefore, policymakers need to carefully consider all of these factors and adjust their decisions accordingly.
According to current fiscal policy theory, the best decision to help end a recession in the United States would involve implementing expansionary fiscal measures. This typically includes increasing government spending, cutting taxes, or a combination of both, which in turn stimulates economic activity and growth.

Expansionary fiscal policy works by injecting more money into the economy, which increases aggregate demand. This leads to higher levels of output and employment, eventually helping to alleviate the negative effects of a recession. Increased government spending can come in various forms, such as investments in infrastructure, public services, or direct financial assistance to individuals and businesses. Tax cuts provide more disposable income for consumers and lower costs for businesses, promoting spending and investment.

To implement these decisions, policymakers need to consider various factors, such as the severity of the recession, the level of public debt, and the effectiveness of specific fiscal measures in achieving the desired outcomes. It is essential to strike the right balance to avoid causing inflation or exacerbating long-term fiscal imbalances.

In conclusion, current fiscal policy theory suggests that the best decision to help end a recession in the United States involves implementing expansionary fiscal measures, such as increasing government spending and cutting taxes. These actions stimulate economic growth and alleviate the negative impacts of a recession, ultimately contributing to economic recovery.

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Answer:

Top Right

Step-by-step explanation:

The greater than or equal to sign makes the line solid, and the greater than 2 makes the shading go to the right

Last week, the ratio of bananas sold to watermelons sold was 4 : 3.

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3.

Since there were 48 bananas sold, we can find the number of watermelons sold by subtracting 12 from 48:

48 bananas - 12 = 36 watermelons

Now, we can determine the ratio of bananas sold to watermelons sold. The ratio would be:

Bananas : Watermelons = 48 : 36

To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which in this case is 12:

48 ÷ 12 = 4
36 ÷ 12 = 3

So, the simplified ratio is:

4 : 3

This ratio means that for every 4 bananas sold, the number of watermelons sold was 3. In other words, out of every 7 fruits sold (4 bananas + 3 watermelons), 4 were bananas and 3 were watermelons. This provides an easy way to understand the proportion of each type of fruit sold at Jun's fruit stand last week.

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Thus, the critical value is 0.707 and there is not enough evidence to support the claim that there is a linear correlation between the heights of mothers and their daughters.

Based on the information provided, the linear correlation coefficient between the heights of mothers and daughters is 0.693.

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The average rate of change over the interval x = 3 and x = 7 is 30

The average rate of change of a function, graph, table or ordered pair is simply the slope of the relation

The equation is given as

g(x) = 2ˣ - 1

The interval is given as:

x = 3 and x = 7

Start by calculating g(3) and g(7)

So, we have

g(3) = 2³ - 1 = 7

g(7) = 2⁷ - 1 = 127

So, the average rate over these intervals is calculated as:

Average rate = [g(b) - g(a)]/[b - a]

This gives

Average rate = [g(7) - g(3)]/[7 - 3]

Substitute known values

Average rate = [127 - 7]/[7 - 3]

Simplify

Average rate = 120/4

Average rate = 30

Hence, the average rate of change is 30

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Answer:

13

Step-by-step explanation:

Hello, we can write a two digit number 'ab' as 10 * a + b, where a and ba are two integer between 0 and 9.

For instance, 54= 50 + 4 = 5 *10 + 4, a = 5 b = 4, right?

The sum of a two digit number is 4.

a + b = 4

If the order of the digits are reversed, the result is a number that exceeds the original number by 18.

10b + a = 10a + b + 18

9b = 9a + 18

b = a + 2

We can replace in the first equation,

a + a + 2 = 4

2a = 2

a = 1

and then, b = 3

So the number is 13.

thank you

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:180in squared

Step-by-step explanation:

108 divided by 12 is 9, so 20*9= 180

Answer:

13.5

Step-by-step explanation:

This is a very simple question

tan 34 + t

             -

            20

t =13.5

The height of tree is 13.5 feet.

Option B is correct.

A right triangle is attached below, which describe the statement of question.

Given that, angle of elevation is 34 degrees.

Let us consider that height of tree is h.

In right triangle attached below,

Apply tan of given angle.

        \(tan(34)=\frac{h}{20}\\ \\h=20*tan(34)\\\\h=20*0.674=13.5feet\)

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The answer is , to represent this situation in a bar model, we can use a Clear frame model.

To show the situation where Kyle spends a total of $44 for four sweatshirts, with each sweatshirt costing the same amount of money, the bar model that can be used is a Clear frame model.

Here's an explanation of the solution:

Given, that Kyle spends a total of $44 for four sweatshirts and each sweatshirt costs the same amount of money.

To find how much each sweatshirt costs, divide the total amount spent by the number of sweatshirts.

So, the amount that each sweatshirt costs is:

\(\frac{44}{4}\) = $11

Thus, each sweatshirt costs $11.

To represent this situation in a bar model, we can use a Clear frame model.

A Clear frame model is a bar model in which the total is shown in a separate section or box, and the bars are used to represent the parts of the whole.

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Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Answer:

The desired divisor is n = 21

Step-by-step explanation:

Let that number be n.  Then:

-15/56        -5

---------- = ---------

     n            6

Through cross-multiplication we get:

(-15/56)*6 = -5n, which reduces to:

(-15)(7) = -5n, or 3(7) = n

The desired divisor is n = 21

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Answer:

A. Marcus worked 27 hours and 45 minutes in the week.

B. He earned $391.5 for the week.

Step-by-step explanation:

First you calculate the hours he worked daily and you add them together, when you have the weekly hours you multiply the hours times what he earns each hour.

It's 27 • 14.50= $391.5

Answer:

The output of the function can be calculated by plugging in 2 for x and evaluating the equation:\(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

The Common Core standards for Pre-Calculus focus on the study of functions and their applications, as well as the development of a deeper understanding of the algebraic and geometric principles in the mathematical field. One of the core concepts covered in Pre-Calculus is the concept of polynomial functions. A polynomial function is an expression made up of terms that involve only constants, variables, and exponents. It is represented by the equation \(f(x) = ax^n + bx^n-1 + cx^n-2 + … + z\), where a, b, c, …, z are constants and n is a non-negative integer. To find the value of a polynomial function at a given value of x, the equation can be evaluated by plugging in the x value and calculating the output. For example, if a polynomial function is represented by the equation f(x) = 2x^3 + 5x^2 - 7x + 4, and the x value is 2, then the output of the function can be calculated by plugging in 2 for x and evaluating the equation: \(f(2) = 2(2^3) + 5(2^2) - 7(2) + 4 = 16 + 20 - 14 + 4 = 26.\)

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Complete question:

What is the output of the polynomial function f(x) = 2x^3 + 5x^2 - 7x + 4 when x = 2?

Since in the question we reject the alternative hypothesis hence type II error occurs.

What is Type I error?

When the null hypothesis is true but rejected in hypothesis testing, type 1 errors often confused with false positives occur. A general assertion or default attitude that there is no connection between two measurable phenomena is known as the null hypothesis.

What is Type II error?

Type II errors take place when you fail to reject the null hypothesis even though it is untrue.

The average number of insect parts per 100 gm in this problem is 75. This number cannot be demonstrated by the test to be larger than 75. This indicates that the test is producing a "false negative" since it is not detecting these insect parts.

Hence, this is a Type II error.

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Answer:

I WOULD SAY ITS rotaiton UWU

Rotation is the transformation applied from brick A to brick B.

We need to find which transformation is applied from brick A to brick B.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, line, or geometric figure.

Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.

Brick A rotated 90° to brick B.

Therefore, rotation is the transformation applied from brick A to brick B.

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The number of unique combinations that can be formed by picking one object from each set is =960. That is option C.

Number combination is a mathematical technique that shows the number of possible arrangements in a collection of items.

The first set of objects = 4. There are a total of 4 possibilities.

The second set of objects = 5. There are a total of 5 possibilities

Therefore from first and second set, the total number of possibilities = 4×5 = 20

For the whole set, the total possibilities;

= 4×5×6×8

= 960

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5.30 % rate of return would you expect on a 5-year treasury security, assuming the pure expectations theory is valid.

To reflect the true cost and purchasing power of money that is borrowed or invested, an interest rate is called a real interest rate that has been adjusted for inflation. The nominal interest rate depicts the cost of money and reflects the state of the market. A good's nominal value is its price in terms of money. Its value in relation to another good, service, or collection of goods is what determines its true worth. Given that it is the current interest rate in the economy, it is frequently referred to as the market interest rate (usually charged by banks and other institutions). Depending on the bank or the type of loans or deposits, this nominal interest rate may be 8%, 10%, or 12%.

Nominal interest rate = Real interest rate + Inflation rate

= 2.5% + 2.8%

= 5.30%

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The gender-similarities hypothesis suggests that males and females have more cognitive similarities than differences, as supported by research on intelligence, problem-solving, and memory abilities. This hypothesis challenges the traditional view of significant gender differences in these domains.

The gender-similarities hypothesis suggests that there are more similarities than differences between males and females in various psychological and cognitive domains. This hypothesis challenges the notion that men and women have fundamentally different abilities and characteristics.

One statement that accurately describes the gender-similarities hypothesis is: "Research shows that males and females tend to have more similarities than differences in cognitive abilities such as memory, problem-solving, and intelligence." To support this statement, research has consistently found that men and women perform similarly in tasks involving cognitive abilities. For example, studies have shown that both genders have similar average scores on intelligence tests, and there is no significant difference in problem-solving skills or memory capacity between males and females.

It's important to note that while there are average similarities, there can still be individual differences within each gender. Moreover, the gender-similarities hypothesis does not deny the existence of gender differences but suggests that these differences are relatively small compared to the similarities.In conclusion, the gender-similarities hypothesis suggests that males and females have more cognitive similarities than differences, as supported by research on intelligence, problem-solving, and memory abilities. This hypothesis challenges the traditional view of significant gender differences in these domains.

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Answer:

D(6,4).

Step-by-step explanation:

The shape ABCD is a square.

By definition, the diagonals are equal.

The diagonal from A to C is 6 units long. Therefore, you should get your point D by drawing across from B to the right by 6.

D(6,4).

The probability that Z lies between 0.7 and 1.98 is 0.2181.

To find the probability that Z lies between 0.7 and 1.98, we need to calculate the area under the standard normal distribution curve between those two values.

Using a standard normal distribution table or calculator, we can find the area to the left of 0.7 (or the probability that Z is less than 0.7) to be 0.7580. Similarly, the area to the left of 1.98 is 0.9767.

To find the area between the two values, we can subtract the smaller area from the larger area:

0.9767 - 0.7580 = 0.2187

Since we want the probability that Z lies between the two values, we can round this to 0.2181, which is closest to answer choice D.

Therefore, the answer is D. 0.2181.

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Answer:

376.991 cm²

Step-by-step explanation:

\(SA_{cylinder} = 2\pi r^{2} + 2\pi rh\)

Surface Area = 2π(5²) + 2π(5)(7)

                      = 50π + 70π

                      = 120π

                      = 376.9911184... ≈ 376.991

If you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle

The formula for the area of a circle = πr², and since there are 2, it is 2πr²

The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh

∴ 2πr² + 2πrh

Answer:

A = a/2^2 + b/2^2          where b = 26 - a     (a/2 and b/2 sides of square)

A = a^2 / 4 + 1/4 (a^2 - 52 a + 676)

4 * A= 2 a^2 - 52 a + 676

4 dA / da =4 a - 52 = 0

Area will be minimized when   a = 13 and b = 13

Check:  

 n A

13 13 0 84.5

12 14 1 85

11 15 2 86.5

10 16 3 89

9 17 4 92.5

8 18 5 97

7 19 6 102.5

6 20 7 109

5 21 8 116.5

4 22 9 125

3 23 10 134.5

2 24 11 145

1 25 12 156.5

0 26 13 169

The cutoff weight for the highest 10% of the weights is 1168.84. The cutoff weight for the lowest 20% of the weights is 1147.12. The cutoff weight for the middle 40% of the weights is between 1151.07 and 1161.07.

Given the model N(1156,89) describing steer weights, the cutoff values for the highest 10%, the lowest 20%, and the middle 40% of the weights are as follows:

a) The highest 10% of the weights:

A normal distribution curve is shown below. To determine the z-value of the highest 10% of weights, we must first find the z-value corresponding to a cumulative area of 0.9. Using a normal distribution table, we can determine that the corresponding z-value is approximately 1.28. As a result, the cutoff weight is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = 1.28 * 9.43 + 1156

x = 1168.84

Therefore, the cutoff weight for the highest 10% of the weights is 1168.84.

b) The lowest 20% of the weights:

To determine the z-value of the lowest 20% of weights, we must first find the z-value corresponding to a cumulative area of 0.2.Using a normal distribution table, we can determine that the corresponding z-value is approximately -0.84. As a result, the cutoff weight is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = -0.84 * 9.43 + 1156

x = 1147.12

Therefore, the cutoff weight for the lowest 20% of the weights is 1147.12.

c) The middle 40% of the weights:

We must first determine the z-values for the 30th and 70th percentiles to calculate the cutoff weights for the middle 40% of the weights. Using a normal distribution table, we can determine that the corresponding z-value for a cumulative area of 0.3 is approximately -0.52. As a result, the cutoff weight for the 30th percentile is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x = -0.52 * 9.43 + 1156

x = 1151.07

Using a normal distribution table, we can determine that the corresponding z-value for a cumulative area of 0.7 is approximately 0.52. As a result, the cutoff weight for the 70th percentile is given by:

z = (x - µ) / σ

where x is the cutoff weight, µ is the mean, and σ is the standard deviation.

Rearranging the equation gives us:

x = z * σ + µ

x= 0.52 * 9.43 + 1156

x = 1161.07

Therefore, the cutoff weight for the middle 40% of the weights is between 1151.07 and 1161.07.

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A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.

The given equation is 15x^2 - 56 = 88 - 6x^2.

We need to find the values of x that are solutions to the given equation.

Solution: We are given an equation 15x² - 56 = 88 - 6x².

Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56  21x² = 144  

x² = 144/21 = 48/7

Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).

The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).

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The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

Firstly, let's add 6x² to both sides of the equation as shown below.

15x² - 56 + 6x² = 88

15x² + 6x² - 56 = 88

Simplify as shown below.

21x² = 88 + 56

21x² = 144

Now let's divide both sides by 21 as shown below.

x² = 144/21

x² = 6.86

Now we need to solve for x.

To solve for x we need to take the square root of both sides.

Therefore, x = ±√(6.86).

Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.

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