Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?

The polynomial function in expanded form is f(x) = x² - 3x² + 4x - 2.

A polynomial function with rational coefficients that has the given numbers as zeros, considering their conjugates . Since 1+i is a zero, its conjugate 1-i must also be a zero.

Using the zero-product property,  that if a polynomial has a zero at a given number, then the polynomial must have a factor of (x - zero). Therefore, the polynomial function with the given zeros can be written as:

f(x) = (x - (1+i))(x - (1-i))(x - 1)

Expanding this expression,

f(x) = ((x - 1) - i)((x - 1) + i)(x - 1)

= ((x - 1)² - i²)(x - 1)

= ((x - 1)² + 1)(x - 1)

= (x² - 2x + 1 + 1)(x - 1)

= (x² - 2x + 2)(x - 1)

= x² - 2x² + 2x - x² + 2x - 2

= x² - 3x²+ 4x - 2

.

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Answer:

The independent variable is the number of touchdowns that the team scores because the number of days off of practice is dependent on the number of touchdowns that the home team scores and not the rival team.

1. We need to find the distance jumped by the Gold winner, we know that the total distance jumped by three athletes is 25.04, so we can subtract the distances from the Silver and Bronze winners in order to determine what we want. This is done below:

Now we need to represent this number as a fraction in its simplest form.

2. In order to determine which medal he would receive, we need to add the distance he actually jumped by 0.06 and compare to the table. We have:

He would win a Bronze medal.

3. In order to determine how farther Athlete B jumped more than Athlete D, we need to subtract their distances.

The athlete B jumped 0.26 meters farther than Athlete D.

The correct option is a) 0.9030 which is representing population correction factor of a small industrial city has a size of 300, and a sample of thirty people.

To calculate the population correction factor (also known as the finite population correction factor), we need to use the formula:

Population Correction Factor = sqrt((N - n)/(N - 1)),

where N is the population size and n is the sample size

Using the values where:

Population size (N) = 300

Sample size (n) = 30

Plugging the values into the formula:

Population Correction Factor = sqrt((300 - 30)/(300 - 1))

Population Correction Factor = sqrt(270/299)

Population Correction Factor ≈ 0.9030

This correction factor is used when calculating the standard error of the sample mean in order to account for the fact that the sample is a smaller subset of the population.

By using this correction factor, we can obtain a more accurate estimate of the standard deviation of the population.

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Answer:

x=7°

Step-by-step explanation:

The figure is a triangle.

1. Triangles's angles add up to 180°.

2. We know that 1 angle measures 104°, so the remaining 2 angles add up to 76°. It is an isosceles triangle, so both of the remaining 2 angles have equal measures.

3. 76÷2=38°.

4. 9x-25°=38°

5. 63°-25°=38°

6. 9x=63°

7. x=7°

Step by step explanation above. Hope it is correct!

The portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

To calculate the portfolio weights for stock A and stock B, we need to determine the total value of the portfolio and the proportion of each stock's value within that total.

The total value of the portfolio can be calculated as follows:

Total value = (Number of shares of stock A × Price per share of stock A) + (Number of shares of stock B × Price per share of stock B)

Total value = (135 × $84) + (110 × $82)

Total value = $11,340 + $9,020

Total value = $20,360

Now, we can calculate the portfolio weights for each stock:

Weight of stock A = (Value of stock A ÷ Total value) × 100%

Weight of stock A = (($84 × 135) ÷ $20,360) × 100%

Weight of stock A = $11,340 ÷ $20,360

Weight of stock A ≈ 0.5569 or 55.69%

Weight of stock B = (Value of stock B ÷ Total value) × 100%

Weight of stock B = (($82 × 110) ÷ $20,360) × 100%

Weight of stock B = $9,020 ÷ $20,360

Weight of stock B ≈ 0.4431 or 44.31%

Therefore, the portfolio weights for stock A and stock B are approximately 55.69% and 44.31%, respectively.

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Answer:

y = -3/4x - 5

Slope: -3/4

y-intercept: -5

Answer:

\(3^2 (negative) \times3^8=729\)

\(Answer = 3^6 \\(729)\)

Answer:

\(3^{6}\)

Step-by-step explanation:

=> \(3^{-2+8}\) => \(3^{6}\)

First and foremost, it is important to note that human skin color is determined by a variety of factors, including genetics, environmental influences, and geographic location. In fact, skin color is the result of the amount and type of melanin pigment produced by specialized cells in the skin called melanocytes.

There are two main types of melanin pigment: eumelanin and pheomelanin. Eumelanin is responsible for producing darker skin colors, while pheomelanin produces lighter skin colors. However, the amount and distribution of these pigments can vary greatly between individuals, resulting in a wide range of skin tones.

Additionally, skin color can also be influenced by factors such as sun exposure, age, and hormonal changes. For example, prolonged sun exposure can lead to darker skin, while aging and hormonal changes can cause changes in skin pigmentation. Furthermore, it is important to note that skin color is not always clearly defined or easily categorized into specific shades. There can be a great deal of variation within a single skin tone, as well as overlap between different skin tones. This is due to the complex interplay of genetic and environmental factors that contribute to skin color.

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The fastest speed reached by the lorry is 40 km/h (to 2 decimal places) between the points (2, 20) and (4, 100).

To find the fastest speed reached by the lorry, we need to determine the steepest slope on the distance-time graph. The slope represents the rate of change of distance with respect to time, which corresponds to the speed.

Looking at the given data points, we can calculate the speed between each pair of consecutive points. The speed can be determined by dividing the change in distance by the change in time.

Between (0, 0) and (2, 20):

Speed = (20 - 0) / (2 - 0) = 20 / 2 = 10 km/h

Between (2, 20) and (4, 100):

Speed = (100 - 20) / (4 - 2) = 80 / 2 = 40 km/h

Between (4, 100) and (6, 140):

Speed = (140 - 100) / (6 - 4) = 40 / 2 = 20 km/h

Between (6, 140) and (8, 140):

Speed = (140 - 140) / (8 - 6) = 0 / 2 = 0 km/h

From the calculations, we can see that the fastest speed reached by the lorry is 40 km/h (to 2 decimal places) between the points (2, 20) and (4, 100).

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Answer: %27

Step-by-step explanation: 90/338   x/100

90x100=9000

9000/338=%27

Answer:

It's B

"Yes, the constant of proportionality is 2."

Step-by-step explanation:

The time or X shows the same numbers shown in distance or Y

it's just Time x2 for distance

Answer:

Marcon and 199.25 kilos

Step-by-step explanation:

According to the given situation

As we can see that Marcon has more pomelos harvested as he contains 362.75 kilos while lope harvested 163.5 kilos of pomelos

Also the difference between them is

= 362.75 - 163.5

= 199.25 kilos

per fluid ounce  is 20 cents

Step-by-step explanation:

To find the Circumference of a triangle you use the formula C= 2(pi)r

in both of the problems you have the radius(r) and you plug the #'s in and solve

(pi)= 3.14...

#1.

2(pi)14.5

28(pi)

C= 87.92

#2.

2(pi)9.5

19(pi)

C= 56.66

Answer:

about 40 kilometers

Step-by-step explanation:

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=adjacent\\ o=\stackrel{opposite}{5} \end{cases} \\\\\\ a=\sqrt{ 13^2 - 5^2}\implies a=\sqrt{ 169 - 25 } \implies a=\sqrt{ 144 }\implies a=12\)

Area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

An area bounded by two curves is the area under the smaller curve subtracted from the area under the larger curve. This will get you the difference, or the area between the two curves.

Given is the region {r} bounded by the graphs of y = sin(πx) and y = x³ - 4x.

Refer to the graph attached. The shaded region is the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

Therefore, area shaded represents the area bounded by both the graphs of the functions y = sin(πx) and y = x³ - 4x.

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Jack's total earnings when working gg hours at the grocery store and nn hours at the nursery are represented by the equation: 17gg + 15nn.

Let's calculate how much Jack earns working 14 hours at the grocery store and 7 hours at the nursery:
1. Multiply the hours worked at the grocery store (14) by the hourly rate ($17):
14 hours * $17/hour = $238
2. Multiply the hours worked at the nursery (7) by the hourly rate ($15):
7 hours * $15/hour = $105
3. Add the earnings from both jobs:
$238 + $105 = $343
So, Jack earns $343 when he works 14 hours at the grocery store and 7 hours at the nursery.
Now let's calculate how much he earns when working gg hours at the grocery store and nn hours at the nursery:
1. Multiply the hours worked at the grocery store (gg) by the hourly rate ($17):
gg hours * $17/hour = 17gg
2. Multiply the hours worked at the nursery (nn) by the hourly rate ($15):
nn hours * $15/hour = 15nn
3. Add the earnings from both jobs:
17gg + 15nn = Total earnings
So, Jack's total earnings when working gg hours at the grocery store and nn hours at the nursery are represented by the equation: 17gg + 15nn.

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Answer:

24 bracelets

Step-by-step explanation:

If sarah has 4 feet of ribbon and can make a friendship bracelte from 1/6 foot that means she can make 6 bracelets per foot (1/6+1/6+1/6+1/6+1/6+1/6 = 6/6 or 1 foot). Now that you know she can make 6 per foot you need to multiply the amount per foot by the amount of ribbon she has in this case 4 feet.

6x4= 24 bracelets

ANSWER:

STEP-BY-STEP EXPLANATION:

We can propose two equations, one regarding the total value of money and the other regarding the total number of bills.

Therefore, it would be:

Answer:

AB = 24

Step-by-step explanation:

BD = 5x – 26

BC = 2x + 1

AC = 43

Using the segment addition postulate, AC = AB + BC.

We know that BD = BC, BD = 5x-26 and BC = 2x+1.  We can set up an equation to find the value of x:

5x - 26 = 2x + 1   Subtract 2x from each side

5x - 26 - 2x = 2x + 1 - 2x

3x-26 = 1  Add 26 to each side

3x-26+26 = 1+26

3x=27  Divide both sides by 3

3x/3 = 27/3

x = 9

This means that BC = 2x + 1 = 2(9) + 1 = 18 + 1 = 19.

We know that AC = AB + BC; using our given information as well as the value of BC we just found, we have

43 = AB + 19  Subtract 19 from each side

43 - 19 = AB + 19 - 19

24 = AB

For ð inputs, there can be an infinite number of subsets of those features. This is because a subset is a collection of some or all of the features within the inputs. Therefore, the number of possible subsets is determined by the number of possible ways in which we can choose from the available features.

For instance, if we have three features within an input, we can create subsets of one, two, or all three features. This gives us a total of seven possible subsets. However, this is not the only way in which we can create subsets. We can also create subsets that contain no features or any combination of features, which increases the number of possible subsets even further.

Therefore, the total number of possible subsets for ð inputs is limitless. It is important to note that not all subsets will be relevant or useful, but the more subsets we have, the more options we have for creating effective models or making informed decisions based on the inputs and features.

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For ð inputs, there can be an infinite number of subsets of those features. This is because a subset is a collection of some or all of the features within the inputs. Therefore, the number of possible subsets is determined by the number of possible ways in which we can choose from the available features.

For instance, if we have three features within an input, we can create subsets of one, two, or all three features. This gives us a total of seven possible subsets. However, this is not the only way in which we can create subsets. We can also create subsets that contain no features or any combination of features, which increases the number of possible subsets even further.

Therefore, the total number of possible subsets for ð inputs is limitless. It is important to note that not all subsets will be relevant or useful, but the more subsets we have, the more options we have for creating effective models or making informed decisions based on the inputs and features.

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Answer:

y =  \(\frac{9}{7}\)x + 1

Step-by-step explanation:

slope intercept form

y = mx + b

9x - 7y = -7

Subtract 9x to both sides

- 7y = -7 - 9x

Divide -7 into both sides

y = 1 + (9/7)x

y = (9/7)x + 1

The probability that you are correct by making a random guess is 1/5.

According to the given question.

On a multiple choice test, each question has 5 possible answers.

As we know that probability, is a measure of the likelihood of an event to occur. It is calculated by taking the ratios of favorable outcomes to the total number of outcomes.

Here, it is given that there are 5 possible answers of one question.

⇒ Total number of outcomes = 5

Also, only one answer will correct out of 5 possible answers.

Which means, total number of favorable outcomes = 1

Therefore, the probability that you are correct by making a random guess

= favorable outcomes/total number of outcomes

= 1/5

Hence, the probability that you are correct by making a random guess is 1/5.

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Answer:

46in²

Step-by-step explanation:

P = 5+1+5+1=12

H = 3

B = (5)(1) = 5

12(3)+2(5) = 46in²

Answer:

d.9360

Step-by-step explanation:

if it was c the hours wouldve probably been 23 hr or 24hr

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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Accounts receivable (Art) $1,078Sales Discount    $22Cash $1,100

Journal entry is a process of recording every transaction in a business in the order they take place. In the case of Cabela's, the following merchandising transactions were recorded:1. Purchased merchandise from Boden Company for $6,000 under credit terms of 1/15, n/30, FOB shipping point, invoice dated July 1The cost of merchandise purchased from Boden Company is debited while Accounts payable (Boden Company) is credited. The cost of merchandise is calculated as $6,000 * (1-1%) = $5,940 while the remaining $60 is the discount received.

Cost of merchandise   $5,940Accounts payable (Boden)     $5,9402. Sold merchandise to Creek Company for $900 under credit terms of 2/10, n/60, FOB shipping point, invoice dated July 2.The sales revenue is credited while the cost of goods sold is debited with the cost of the merchandise. This is because the cost of merchandise sold is an expense and expenses are debited.

Sales revenue $900Cost of goods sold $500Merchandise inventory $5003. Paid $125 cash for freight charges on the purchase of July 1The Freight Out expense is debited while Cash is credited.

Freight out expense $125Cash $1254. Sold merchandise that had cost $1,300 for $1,700 cashThe cash received for the sale is debited while the cost of goods sold is credited with the cost of the merchandise. This is because the cost of merchandise sold is an expense and expenses are debited.

Cash $1,700Cost of goods sold $1,300Merchandise inventory $1,3005. Purchased merchandise from Leight Company for $2,200 under credit terms of 2/15, n/60, FOB destination, invoice dated July 9The cost of merchandise purchased is debited while Accounts payable (Leight Company) is credited. The cost of merchandise is calculated as $2,200 * (1-2%) = $2,156 while the remaining $44 is the discount received.

Cost of merchandise   $2,156Accounts payable (Leight)     $2,1566. Returned $200 of merchandise purchased on July 9 from Leight Company and debited its account payable for that amount.The Accounts payable is debited with the amount of merchandise returned while the Merchandise inventory account is credited with the cost of the returned merchandise.Accounts payable (Leight)   $200Merchandise inventory $2007. Received the balance due from Creek Company for the invoice dated July 2, net of the discountThe accounts receivable account is debited with the net amount received while the sales discount account is credited with the discount received.

Accounts receivable (Creek) $882Sales discount     $18Cash $9008. Sold merchandise that cost $800 to Art Company for $1,200 under credit terms of 2/15, n/60, FOB shipping point, invoice dated July 19The sales revenue is credited while the cost of goods sold is debited with the cost of the merchandise.

This is because the cost of merchandise sold is an expense and expenses are debited.Sales revenue $1,200Cost of goods sold $800Merchandise inventory $8009. Gave a price reduction (allowance) of $100 to Art Company for merchandise sold on July 19 and credited Art's accounts receivable for that amount.

The allowance account is debited while Accounts receivable (Art Company) is credited.Allowance    $100Accounts receivable (Art) $10010. Paid Leight Company the balance due, net of discountAccounts payable (Leight) is debited with the net amount paid while Cash is credited.Accounts payable (Leight)   $2,128Cash $2,12811.

Received the balance due from Art Company for the invoice dated July 19, net of discount The accounts receivable account is debited with the net amount received while the sales discount account is credited with the discount received.

Accounts receivable (Art) $1,078Sales discount    $22Cash $1,100

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The best explanation that could be given to the mathematical statement a ∈ A is that "a is an element of A."

A set is a group of objects. The objects are referred to as the set's elements. A set is said to be a finite set if it has a finite number of items; else, it is an infinite set. We can simply list the elements of a set if there aren't too many of them.

The elements of a set are those things that make up the set. The elements of a set are often denoted by commas and expressed inside a pair of curly braces. The set expressing these elements is always stated in capital letters.

So, if we have a set A with the following parameters a, b, c. We can mathematically express it as:

Thus, we can conclude that a ∈ A i.e "a is an element of A."

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