Please show your work when answering.

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 1

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (2, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{2-(-2)}[/tex] = [tex]\frac{-6}{2+2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

the line crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - [tex]\frac{3}{2}[/tex] x + 1 ← equation of line

Answer:

The second one: y = -3/2x + 1

Hope this helps!

Step-by-step explanation:

( -2, 4 ) : ( 2, -2 )

Slope = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1} }[/tex]

Slope = [tex]\frac{-2-4}{2 - ( -2)} =\frac{-6}{4} = - \frac{3}{2}[/tex]

y = [tex]-\frac{3}{2}x[/tex] + 1    ( + 1 is the y-intercept, where the graph intercepts the y axis... )

The regression line equation for predicting average weekly sales for stores with 13 feet of shelf space is:

[tex]Y = -0.63825 + 0.1938 * 13[/tex]

What is linear regression?

Linear regression is a statistical analysis technique used to model the relationship between a dependent variable (in this case, weekly sales) and one or more independent variables (in this case, store shelf space). It assumes a linear relationship between the variables and aims to find the best-fitting line that represents this relationship. The equation of the regression line allows for predicting the value of the dependent variable based on the given independent variable(s)

To predict the average weekly sales for stores with 13 feet of shelf space, we can use linear regression analysis. Let's calculate the regression line equation using the given data:

Store Shelf Space (X) | Weekly Sales (Y)

[tex]1 10 2.02 10 2.63 10 1.84 15 2.35 15 2.86 15 3.07 20 2.78 20 3.19 20 3.210 25 3.011 25 3.312 25 3.5[/tex]

Step 1: Calculate the mean of X and Y:

Mean[tex](X) = (10 + 10 + 10 + 15 + 15 + 15 + 20 + 20 + 20 + 25 + 25 + 25) / 12 = 17.5[/tex]

Mean[tex](Y) = (2.0 + 2.6 + 1.8 + 2.3 + 2.8 + 3.0 + 2.7 + 3.1 + 3.2 + 3.0 + 3.3 + 3.5) / 12 = 2.75[/tex]

Step 2: Calculate the deviations from the means:

X deviations: [tex]10 - 17.5, 10 - 17.5, 10 - 17.5, 15 - 17.5, 15 - 17.5, 15 - 17.5, 20 - 17.5, 20 - 17.5, 20 - 17.5, 25 - 17.5, 25 - 17.5, 25 - 17.5[/tex]

Y deviations: [tex]2.0 - 2.75, 2.6 - 2.75, 1.8 - 2.75, 2.3 - 2.75, 2.8 - 2.75, 3.0 - 2.75, 2.7 - 2.75, 3.1 - 2.75, 3.2 - 2.75, 3.0 - 2.75, 3.3 - 2.75, 3.5 - 2.75[/tex]

Step 3: Calculate the product of the deviations:

(X deviations * Y deviations):

[tex]-7.5 * -0.75 = 5.625-7.5 * 0.85 = -6.375-7.5 * -0.95 = 7.125-2.5 * -0.45 = 1.125-2.5 * 0.05 = -0.125-2.5 * 0.25 = -0.6252.5 * -0.05 = -0.1252.5 * 0.35 = 0.8752.5 * 0.45 = 1.1257.5 * 0.25 = 1.8757.5 * 0.55 = 4.1257.5 * 0.75 = 5.625[/tex]

Step 4: Calculate the sum of squared X deviations:

X deviations squared:

[tex](-7.5)^2 = 56.25(-7.5)^2 = 56.25[/tex]

Step 5: Calculate the sum of the product of X deviations and Y deviations:

Sum of (X deviations * Y deviations)[tex]= 5.625 + (-6.375) + 7.125 + 1.125 + (-0.125) + (-0.625) + (-0.125) + 0.875 + 1.125 + 1.875 + 4.125 + 5.625 = 21.75[/tex]

Step 6: Calculate the slope (b):

b = Sum of (X deviations * Y deviations) / Sum of X deviations squared = [tex]21.75 / (56.25 + 56.25) = 21.75 / 112.5 = 0.1938[/tex]

Step 7: Calculate the intercept (a):

a = Mean(Y) - b * Mean[tex](X) = 2.75 - 0.1938 * 17.5 = 2.75 - 3.38825 = -0.63825[/tex]

Step 8: Write the regression line equation:

Y = a + bX

Y = -0.63825 + 0.1938X

Therefore, the regression line equation for predicting average weekly sales for stores with 13 feet of shelf space is:

[tex]Y = -0.63825 + 0.1938 * 13[/tex]

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The correct answer in this scenario is a) The courts are likely to consider ChromaLite Builders's performance as a substantial performance, and Jessica will have to pay something but not the full amount; i.e. she is entitled to monetary damages.

This is because ChromaLite Builders did not fully comply with the contract by installing grade A carpeting instead of grade A+ carpeting, but the difference may not be significant to most people. As a result, the courts are likely to consider this a minor breach of contract and award Jessica some monetary damages but not the full cost of the contract.

It is important to note that if the difference between the two grades of carpeting was significant and clearly stated in the contract, Jessica may have had a stronger case for refusing to pay. However, in this scenario, it seems that the breach of contract was not significant enough to justify a complete refusal to pay.

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The area of the remaining section of the cake, in terms of pi, is [tex]240\pi[/tex] square inches.

To find the area of the remaining section of the cake after a 60-degree slice has been cut out, we need to calculate the area of the whole cake and subtract the area of the removed slice.

The formula for the area of a circle is [tex]A = \pi r^2[/tex], where A represents the area and r represents the radius.

Given that the radius of the cake is 12 inches, the area of the whole cake is:

A_whole= [tex]\pi (12)^2[/tex]

To find the area of the 60-degree slice, we need to calculate the fraction of the circle that is removed. A 60-degree angle represents 60/360 or 1/6 of the full circle.

Area of the slice = (1/6) * A_whole

Finally, we can calculate the area of the remaining section by subtracting the area of the slice from the area of the whole cake:

Area of remaining section = A_whole - Area of the slice

Area of remaining section = A_whole - (1/6) * A_whole

Area of remaining section = A_whole * (1 - 1/6)

Area of remaining section = A_whole * (5/6)

Substituting the value of A_whole into the equation:

Area of remaining section = [tex]\pi (12)^2 * (5/6)[/tex]

Area of remaining section = [tex]\pi * 144 * (5/6)[/tex]

Area of remaining section = [tex]240\pi[/tex]

Therefore, the area of the remaining section of the cake, in terms of pi, is [tex]240\pi[/tex] square inches.

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Answer:

= 2,244?

i hope it helps

The expressions used to find the balance in Crystal’s account are given as follows:

B) 280 + 5(–5) + (–42) + 2(75) + (–200)

C) 280 + 5(–5) – 42 + 2(75) – 200

At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking, hence $5 was subtracted each day, that is:

280 - 5 x 5.

She wrote a check for $42, and made two deposits of $75 each, hence these amounts are also accounted, as follows:

280 - 5(5) -42 + 2(75)

$200 is withdrawn in cash, hence:

280 - 5(5) -42 + 2(75) - 200.

The options are given as follows:

A) 280 + 5(5) + (–42) + 2(–75) + (–200)

B) 280 + 5(–5) + (–42) + 2(75) + (–200)

C) 280 + 5(–5) – 42 + 2(75) – 200

D) 280 + 5(–5) – 42 + 2(–75) – 200

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The correct answer is 0.1251. The proportion of the population in favor of candidate A is significantly more than 75% is 0.1251.

To determine the p-value for testing whether the proportion of the population in favor of candidate A is significantly more than 75%, we can perform a one-sample proportion test.

Let's denote the proportion of the population in favor of candidate A as p. The null hypothesis (H0) states that p = 0.75, and the alternative hypothesis (Ha) states that p > 0.75.

In Exhibit 9-6, we have a random sample of 100 people, and 80 of them favored candidate A. To test the hypothesis, we can use a normal approximation to the binomial distribution since the sample size is reasonably large.

The test statistic for a one-sample proportion test is calculated using the formula:

z = (p1 - p0) / √(p0 * (1 - p0) / n)

Here:

p1 is the sample proportion (80/100 = 0.8),

p0 is the hypothesized proportion under the null hypothesis (0.75),

n is the sample size (100).

Let's calculate the test statistic:

z = (0.8 - 0.75) / √(0.75 * (1 - 0.75) / 100)

= 0.05 / √(0.1875 / 100)

= 0.05 / √0.001875

= 0.05 / 0.04330127

≈ 1.1547

Now, we need to find the p-value associated with this test statistic. The p-value is the probability of observing a test statistic as extreme as the one obtained, assuming the null hypothesis is true.

Since we are testing whether the proportion is significantly more than 75% (one-tailed test with the alternative hypothesis p > 0.75), we look for the area in the upper tail of the standard normal distribution.

Using a standard normal distribution table or a statistical software, we find that the p-value associated with z ≈ 1.1547 is approximately 0.1251.

Therefore, the correct answer is 0.1251.

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Answer:

82160

combinations

Step-by-step explanation:

order doesn't matter since it is just who gets the medals not what order they get the medals in and pick 3 with no repetitions since no one ties or gets 2 medals at once

Answer:

12

Step-by-step explanation:

Finding the 'value' means we need to calculate a number answer.

1/8 (x^3 - 4) (t^2 + 8)

Fill in 2 for x and 4 for t.

=1/8(2^3 - 4)(4^2 + 8)

inside of parenthesis we'll work on exponents first.

= 1/8 (8 - 4) (16 + 8)

Still inside of parenthesis, do the subtracting or adding next.

= 1/8 (4) (24)

This is all multiplying.

= 12

The dominant gene coding for adult lactase persistence in Europe and India is the east African -13910 C>T mutation diffused into Indian and then westward into Europe around 15 kya. The correct option is e.

In European popular and other areas population the lactase productions in body being continued throughout the life for lactase persistence. If we focus only on the European population a single -13,910×T genetic variant strongly associated with lactase persistence.

This genetic variant helps in natural adaptation. Enhancer region for the transcription of LCT is MCM6 which is upstream to LCT . In east Africa -13910 C>T mutation occurs which diffuse to India and western Europe. Option (a) is incorrect because this mutation indicate the high quantity of lactating animals and option (b) is incorrect because the mutation occurs in upstream region.

Therefore, option (e) is correct as mentioned above.

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Answer:

1/50625

Step-by-step explanation:

First (5x3)^4

15^-4, which is 1/15^4

when multiplied out is 1/50625

The prescription of drugs for a client diagnosed with intermittent explosive disorder (IED) may include selective serotonin reuptake inhibitors (SSRIs) and mood stabilizers.

SSRIs are commonly prescribed for IED as they help regulate serotonin levels in the brain, which can help with mood stability and control impulsive behaviors. These medications, such as fluoxetine (Prozac), sertraline (Zoloft), or escitalopram (Lexapro), may be prescribed to reduce aggressive outbursts and improve emotional regulation.

Mood stabilizers, such as lithium or anticonvulsant medications like divalproex sodium (Depakote) or carbamazepine (Tegretol), may also be prescribed to help stabilize mood swings and impulsive behaviors associated with IED. These medications work by regulating brain activity and may be beneficial in managing aggression and impulsivity.

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The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%

The annual percentage rate (APR) for your cousin's lending arrangement,  to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:

Calculate the interest charged for a $20 loan over one month:

Interest = $40 (repaid amount) - $20 (loaned amount) = $20

Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:

Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%

Multiply the monthly interest rate by 12 to obtain the annual interest rate:

APR = Monthly Interest Rate ×12 = 100% ×12 = 120%

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In two years, Country F's GDP is projected to be in the millions.

Currently, its GDP stands at $975,875, and it experiences an annual growth rate of 11%. Based on these figures, Country F's GDP in two years can be calculated.

To determine the GDP in two years, we need to calculate the growth rate for each year and apply it to the current GDP.

The growth rate is given as 11% annually, which means it is compounded over each year. To calculate the growth rate, we can use the formula:

GDP in two years = Current GDP × (1 + Growth Rate)^Number of Years

Plugging in the values, we get:

GDP in two years = $975,875 × (1 + 0.11)^2

Simplifying the equation, we have:

GDP in two years = $975,875 × 1.11^2

Evaluating the expression, we find:

GDP in two years ≈ $1,131,586

Therefore, based on the given growth rate of 11% annually, Country F's GDP is projected to be approximately $1,131,586 in two years.

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The total business deduction related to the business use of the car would be $6,160, which represents the deductible vehicle expenses calculated based on the standard mileage rate.

To determine the total business deduction related to the business use of the car, we need to calculate the deductible expenses based on the percentage of business use.

First, let's calculate the deductible vehicle expenses using the standard mileage rate. In 2021, the standard mileage rate was $0.56 per mile.

John used the vehicle for 11,000 business miles (70% of total miles). Therefore, the deductible vehicle expenses can be calculated as follows:

Deductible Vehicle Expenses = Business Miles × Standard Mileage Rate

                             = 11,000 miles × $0.56 per mile

                             = $6,160

Next, let's consider the interest expense and county property tax paid on the car. Since these expenses are not directly related to the business use of the vehicle, they cannot be deducted as a business expense.

Therefore, the total business deduction related to the business use of the car would be $6,160, which represents the deductible vehicle expenses calculated based on the standard mileage rate.

It's important to note that tax deductions can be subject to specific rules and limitations, and it's advisable for John to consult with a tax professional or accountant to ensure accurate reporting and compliance with applicable tax laws and regulations.

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Based on the given information, Jolene's behavior is suggestive of obsessive-compulsive disorder (OCD).

Obsessive-compulsive disorder(OCD) is a mental health condition characterized by the presence of obsessions and/or compulsions. Obsessions are intrusive and unwanted thoughts, images, or urges that cause distress and anxiety.

In Jolene's case, her obsession revolves around the fear of miscounting the cracks in the sidewalk. Compulsions, on the other hand, are repetitive behaviors or mental acts performed in response to obsessions, with the goal of reducing anxiety or preventing a feared outcome.

Jolene's compulsion is the urge to return home to recount the cracks, driven by her fear of having miscounted them.

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The teams are ordered from least to greatest based on the maximum number of baseballs they can purchase as follows: Team 4, Team 5, Team 2, Team 1, Team 6, and Team 3.

In order to determine the order of the teams based on the maximum number of baseballs they can purchase, let's analyze the given inequalities.

The inequalities provided are:

x ≤ 2(125) + 500

x + 6(125) ≤ 966

x ≤ 4(125) + 1000

x + 4(125) ≤ 740

x + 3(125) ≤ 750

x + 3(125) ≤ 1200

To simplify the inequalities, we can perform the calculations:

x ≤ 750

x ≤ 366

x ≤ 1500

x ≤ 240

x ≤ 375

x ≤ 925

Now, let's order the teams based on the maximum number of baseballs they can purchase:

Team 4: The inequality x ≤ 240 indicates that this team can purchase a maximum of 240 baseballs.

Team 5: The inequality x ≤ 375 allows this team to buy up to 375 baseballs.

Team 2: With the inequality x ≤ 366, this team can purchase a maximum of 366 baseballs.

Team 1: The inequality x ≤ 750 allows this team to buy up to 750 baseballs.

Team 6: The inequality x ≤ 925 indicates that this team can purchase a maximum of 925 baseballs.

Team 3: With the inequality x ≤ 1500, this team has the highest capacity to buy baseballs, with a maximum of 1500.

Therefore, the teams are ordered from least to greatest based on the maximum number of baseballs they can purchase as follows: Team 4, Team 5, Team 2, Team 1, Team 6, and Team 3.

In summary, the teams are ordered from least to greatest based on the maximum number of baseballs they can purchase: Team 4, Team 5, Team 2, Team 1, Team 6, and Team 3. Team 4 can buy a maximum of 240 baseballs, Team 5 can buy up to 375 baseballs, Team 2 can purchase a maximum of 366 baseballs, Team 1 can buy up to 750 baseballs, Team 6 can purchase a maximum of 925 baseballs, and Team 3 has the highest capacity, being able to buy a maximum of 1500 baseballs.

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Among the suitors pursuing Sara, the one who is most likely to be angry that she does not return her feelings would be the suitor who has developed strong emotional attachment and expectations towards Sara.

When someone has strong emotional attachment and expectations towards another person, they invest more of their feelings and desires into the relationship. In this scenario, if one of Sara's suitors has developed deep feelings for her and has invested significant emotional energy into pursuing her, they are more likely to feel hurt, disappointed, and angry if Sara does not reciprocate their feelings.

The suitor who may feel the strongest negative emotions could be the one who had the highest expectations or believed they had a special connection with Sara. They might have invested a lot of time, effort, and interest into their pursuit, leading to a sense of entitlement or disappointment if their feelings are not returned.

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A diverse workforce can provide a source of competitive advantage by suggesting goods and services that will allow the company to increase its market by catering to a broader customer base.

When an organization embraces diversity and inclusion, it brings together individuals from different backgrounds, cultures, experiences, and perspectives. This diverse pool of employees can offer unique insights and ideas that might otherwise go unnoticed, leading to innovative product development and improved customer experiences.

By having a workforce that represents a wide range of demographics, including race, ethnicity, gender, age, sexual orientation, and more, a company can better understand the needs and preferences of various customer segments. This understanding enables them to develop and market products and services that resonate with a larger audience, ultimately increasing market share and revenue.

A diverse workforce enhances creativity and problem-solving abilities within the organization. Diverse teams bring different ways of thinking and approaching challenges, fostering an environment of innovation and adaptability. This can lead to the development of groundbreaking solutions that meet the evolving demands of an increasingly diverse consumer market.

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The main idea of Sonia Sotomayor's opening statement is that the role of a judge is to fairly apply the law to benefit the public good.

The text that best supports the answer to part a is option b: "those decisions have not been made to serve the interests of any one litigant, but always to serve the larger interest of impartial justice." This statement highlights Sonia Sotomayor's belief that the decisions she has made as a judge have been guided by the principle of impartial justice rather than favoring any specific party. This aligns with the main idea mentioned in part a, which states that Sonia believes the role of a judge is to fairly apply the law for the public good. By emphasizing that her decisions serve the larger interest of impartial justice, she underscores the importance of her commitment to fairness and the public's well-being. This reinforces the idea that Sonia's primary focus as a judge is on upholding the law for the benefit of society rather than personal or partisan interests.

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In the short run, an automobile maker experiencing an increase in the demand for a certain kind of car will be limited in its ability to adjust its production capacity.

In economics, the short run refers to a period of time during which some factors of production are fixed, while others can be adjusted. In the context of the automobile maker facing increased demand for a specific car, the short run implies that certain aspects of production capacity cannot be changed immediately.

In the short run, the automobile maker may not have the flexibility to expand its production facilities or build new manufacturing plants. This means that the company is constrained by its existing resources and production capacity. Instead, the company can make temporary adjustments to production levels by utilizing existing resources more efficiently, such as adding additional shifts or optimizing the utilization of labor and machinery.

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The Reagan doctrine of American activism in the Third World was most particularly exercised in Nicaragua and Grenada. These countries became focal points of U.S. involvement and intervention.

The Reagan doctrine, implemented during the presidency of Ronald Reagan in the 1980s, aimed to counter Soviet influence and promote American interests in the Third World. This doctrine was characterized by a strong anti-communist stance and support for anti-communist governments and movements. Among the various countries where the Reagan doctrine was applied, Nicaragua and Grenada stand out as prime examples.

In Nicaragua, the Reagan administration actively supported the Contras, a rebel group fighting against the Sandinista government. The Contras were seen as a counterforce to the left-wing Sandinistas, who were aligned with the Soviet Union and Cuba. The United States provided financial and military assistance to the Contras, including covert operations, in an effort to undermine the Sandinista regime.

Grenada, a small island nation in the Caribbean, also witnessed American intervention under the Reagan doctrine. The United States launched Operation Urgent Fury, invading Grenada and overthrowing the government, with the stated objective of protecting American citizens and restoring democracy.

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The poverty line is determined by the level of income needed to cover basic needs.

The poverty line is a threshold used to measure poverty and determine eligibility for various assistance programs. It represents the minimum income level required for individuals or households to meet their basic needs, such as food, shelter, clothing, and healthcare. The specific calculation of the poverty line varies from country to country and is often adjusted for factors like family size and location. To determine the poverty line, policymakers and researchers consider factors such as the cost of living, household expenses, and prevailing social standards. They assess the minimum income necessary to provide a decent standard of living and ensure that individuals and families are not living in extreme deprivation. The poverty line is not based on estimates from middle- or high-income households or surveys completed solely on the elderly. Instead, it is designed to reflect the income level below which individuals or households are considered to be living in poverty, indicating the need for targeted interventions and support to improve their economic well-being.

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The area of the trapezoid is 11 square units.

We are given that;

The coordinates of trapezoid= (-1,3) (-5, 1) (2, 2) (-2, 0) (4,-2) (1, -1)

Now,

The area of a trapezoid can be calculated using the formula A = (a + b)h/2, where a and b are the lengths of the parallel sides and h is the height of the trapezoid.

In this case, the coordinates you provided form a trapezoid with parallel sides of length 4 and 7, and a height of 2.

Plugging these values into the formula gives us an area of (4 + 7) * 2 / 2 = 11 square units.

Therefore, by the distance the answer will be 11 square units.

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The exact value of sinθ in simplest radical form is sinθ = 1.

The terminal side of an angle in standard position is a line passing through the point (x,y).

To find the exact value of sinθ, use the trigonometric identity sinθ = y/r, where r is the distance or length of the line segment from the origin

r = √(x² + y²)

Given the point (-20, 21), the value of sinθ is 21/√(20² + 21²).

Simplifying, 21/√(441), sinθ = 21/21 = 1.

Therefore, the exact value of sinθ in simplest radical form is sinθ = 1.

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Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

What is the average?

This is the arithmetic mean and is calculated by adding a group of numbers and then dividing by the count of those numbers. For example, the average of 2, 3, 3, 5, 7, and 10 is 30 divided by 6, which is 5.

To determine who has the best conclusion among Joe, Collin, Paulina, and Quannah, let's evaluate each statement in relation to the given grade distribution:

A. Joe said the average grade was a 75.

Since we have the grade distribution, we can calculate the average grade to verify Joe's statement. However, the distribution alone is not sufficient to determine the average grade. We would need additional information such as the exact values within each grade range. Therefore, we cannot determine if Joe's conclusion is the best based solely on the given information.

B. Collin said almost 15% made between a 91 and a 100.

Based on the given grade distribution, we can calculate the percentage of students who fall within the range of 91-100. In this case, it is 10 students out of a total of 35 students. So, the percentage is approximately 28.6%, not close to 15%. Therefore, Collin's conclusion is not accurate based on the given information.

C. Paulina said most of the class made between a 71 and an 80.

Considering the grade distribution, the largest number of students (12) falls within the range of 71-80. Thus, Paulina's conclusion aligns with the data and can be considered the best conclusion based on the given information.

D. Quannah said that most of the students understood the concepts that were not tested.

The given grade distribution does not provide information about the understanding of concepts. It solely represents the distribution of grades. Therefore, Quannah's conclusion cannot be determined based on the given information.

hence, Based on the given grade distribution, Paulina's conclusion (C) that most of the class made between a 71 and an 80 is the best conclusion among the options provided.

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Answer:

She made 67 shots

She missed 23 shots

Step-by-step explanation:

Margot missed 90(0.25) = 22.5, or about 23 shots

Margot made 90-23 = 67

Part A : The length and width of the bottom of the inside of the prism would be = 7½ in and 3.5 in

Part B : The total number of cubes of letter that can fit into the height of the prism = 6

For Part A:

The edges of each cube = 1½ in long

The number of cubes that makes up the base length of the prism = 5 cubes.

The length of the base of the prism = 1½×5 = 7.5 in

The number of cubes that makes up the base width of the prism = 3 cubes.

The width of the base of the prism = 1½×3 = 4.5 in

For Part B;

The total height of the prism = ¾ft

To convert to inches = ¾×12 = 9in

But 1 box = 1½ in

X box = 9 in

X box = 9/1.5

= 6 letter cube boxes

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