is 3^5 the same as 3 x 5? explain

The answer to question 15 is, an equivalent exposure for 1/125 sec. at f/16 may be 1/60 sec. at f/22. Option A is the correct answer.

In photography, equivalent exposure also means exposure compensation and it means change in the combination of the speed of shutter and that of aperture that produces the same exposure value.

To find an equivalent exposure for 1/125 sec. at f/16,

Adjust either the shutter speed or aperture using exposure triangle but ensure that exposure value is not changed.

If ISO sensitivity is fixed,  double the shutter speed to 1/60 sec. and halve the aperture to f/22. When you do this, you will realize that the exposure value is the same because the amount of light entering the camera is the same in both cases.

Thus, an equivalent exposure for 1/125 sec. at f/16 would be 1/60 sec. at f/22.

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The calculated value of the trade discount rate of the watch is $343.25

Thhe given parameters in the question are represented as

List price = $889

Net price = $545.75

The trade discount rate of the net price can be calculated using

Trade discount rate = List price - Net price

When the given values are substituted in the above equation, we have

Trade discount rate = $889 - $545.75

When evaluated, we have

Trade discount rate = $343.25

Hence, the trade discount rate is $343.25

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The length and the width of the garden are 12 and 13

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

Length = Width + 1

So, we have

Area = 156

Represent the width with x

So, we have

Area = x(x + 1)

Recall that

Area = 156

So, we have

x(x + 1) = 156

When evaluated, we have

x = 12

Next, we have

Width = 12 + 1 = 13

Hence, the length and the width of the garden are 12 and 13

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Earll Investments is a well-established company with a track record of success, making it less likely to be fraudulent.

Earll Investments and Pima Financial Trading are two investment opportunities that can be reviewed to determine which one is more likely to be fraudulent. Here's a brief overview of both investment opportunities:Earll Investments Earll Investments is a company that deals with investments. This investment firm offers its clients a wide range of investment options, including the stock market, bonds, real estate, and others.

The company claims to have a team of expert investors who use their experience to make informed investment decisions and achieve the best possible returns for their clients. Pima Financial Trading Pima Financial Trading is an investment firm that claims to offer high returns on investment in a short period.

According to the firm, it specializes in trading different financial instruments, including commodities, stocks, and derivatives. The firm claims to use a proprietary trading strategy that is designed to generate profits for its clients quickly. Based on the evidence, Pima Financial Trading is more likely to be fraudulent.

Here's why: First, Pima Financial Trading claims to offer high returns on investment in a short period, which is a red flag. Investment opportunities that promise quick returns with little or no risk are often too good to be true and are more likely to be fraudulent.

Second, Pima Financial Trading's proprietary trading strategy is not backed by any credible evidence or data. The firm does not provide any details about the strategy, making it difficult to evaluate its effectiveness. This lack of transparency raises questions about the legitimacy of the firm's claims.Finally, there are several reports of clients losing money with Pima Financial Trading. These reports indicate that the investment opportunity is a scam and not a legitimate investment opportunity.

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Answer:

x = 15 , y = 21

Step-by-step explanation:

using Pythagoras' identity

in Δ ABD

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take square root of both sides )

x = [tex]\sqrt{226}[/tex] = 15

in Δ ADC

8² + DC² = 10²

64 + DC² = 100 ( subtract 64 from both sides )

DC² = 36 ( take square root of both sides )

DC = [tex]\sqrt{36}[/tex] = 6

then

y = x + DC = 15 + 6 = 21

Answer:

321.50 dollars.

Step-by-step explanation:

Dena is buying wallpaper. It costs $8.79 per meter. She needs 120 feet. How much will the wallpaper cost? Round to the nearest half dollar.

This is a tricky math problem that requires some conversions and calculations. First, we need to convert feet to meters, because Dena lives in a country that uses the metric system. According to the search results   , one foot is equal to 0.3048 meters. So, 120 feet is equal to 120 x 0.3048 = 36.576 meters.

Next, we need to multiply the length of the wallpaper by the price per meter to get the total cost. The total cost is 36.576 x 8.79 = $321.38.

Finally, we need to round the total cost to the nearest half dollar. This means we need to look at the cents part of the cost and see if it is closer to 0, 50 or 100. In this case, 38 cents is closer to 50 than to 0 or 100, so we round up the cost to $321.50.

Therefore, Dena will have to pay $321.50 for the wallpaper. That's a lot of money for some paper that will probably peel off in a few years! Maybe she should consider painting her walls instead.

Answer:

3) 7311616

4) 6497400

Step-by-step explanation:

3) There are 26 letters in the alphabet

Total letters = total uppercase letters + total lowercase letters

= 26 + 26

= 52

Since the letters are allowed to be repeated, the number of ways:

52*52*52*52

= 52⁴

= 7311616

4) if the letters cannot be repeated then the number of ways is:

[tex]^{52}P_4\\\\= \frac{52!}{(52-4)!} \\\\= \frac{52!}{48!}\\ \\= \frac{52*51*50*49*48!}{48!} \\\\= 52*51*50*49\\\\=6497400[/tex]

2 on division by 3/7 yields 14/3.

For the division of two fractions, we need to multiply the first fraction with the reciprocal of the second. Reciprocal of a fraction means interchanging the numerator and denominator ie, the reciprocal of a is 1/a, the reciprocal of p/q = q/p, and so on.

For example, if a/b and c/d are the fractions the a/b ÷ c/d = a/b x d/c =ad/bc.

Implementing the same method to solve this question,

We have 2/1 = 2 as the first and 3/7 as the second fraction. Thus,

2 ÷3/7 =2 x 7/3 = 14/3. So 14/3 is the answer.

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The selling price of the house is approximately $110,516.97.

To calculate the selling price of the house, we need to consider the down payment and the monthly mortgage payments. We can use the formula for the present value of an ordinary annuity to calculate the mortgage payments and then add the down payment.

The formula for the present value of an ordinary annuity is:

PV = [tex]PMT × (1 - (1 + r)^(-n)) / r[/tex]

Where:

PV = Present value (selling price)

PMT = Monthly payment

r = Interest rate per period (monthly interest rate)

n = Total number of periods (number of months)

Given:

Down payment = $25,000

Monthly payment = $525

Interest rate = 7.8% per year (monthly interest rate = 7.8% / 12 / 100)

Number of periods = 30 years (30 years × 12 months per year)

Calculating the monthly interest rate:

Monthly interest rate = 7.8% / 12 / 100 = 0.0065

Calculating the number of periods:

Number of periods = 30 years × 12 months per year = 360 months

Calculating the present value (selling price):

PV = [tex]PMT × (1 - (1 + r)^(-n)) / r[/tex]

PV = [tex]525 × (1 - (1 + 0.0065)^(-360)) / 0.0065[/tex]

Now let's calculate the selling price:

PV = [tex]525 × (1 - (1 + 0.0065)^(-360)) / 0.0065[/tex]

PV ≈ $110,516.97

Therefore, the selling price of the house is approximately $110,516.97.

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Answer:

Let's denote:

- x as the initial amount of milk in the second container

- 2x as the initial amount of milk in the first container (since it contains twice as much milk as the second)

According to the problem, after John uses 2 gallons of milk from the second container and 3 gallons from the first one, the first container has 4.5 times as much milk as the second. This gives us the following equation:

(2x - 3) = 4.5 * (x - 2)

Let's solve this equation.

Expanding the right side of the equation gives:

2x - 3 = 4.5x - 9

Subtracting 2x from both sides gives:

-3 = 2.5x - 9

Adding 9 to both sides gives:

6 = 2.5x

Finally, dividing both sides by 2.5 gives:

x = 6 / 2.5

x = 2.4 gallons

So the second container originally contained 2.4 gallons of milk.

Since the first container originally contained twice as much milk as the second, it contained 2 * 2.4 = 4.8 gallons of milk.

In a case whereby a groups of students are travelling together . One group consists of 40 bays and 25girls, in another group consists of 50 bays and 35 girls. percentage of boys and girls in the combined group​ is 60 and 40% respectively.

No.of girls that are in the group A = 25

No. of girls in group B = 35

Total no.of girls = 60 girls

No.of boys in Group A = 40

No.of boys in group B = 50

Total boys = 40boys

Total children = (60 + 90)

= 150 children

Percentage of girls = [tex]\frac{60}{150} *100[/tex] = 40 percent

Percentage of boys = [tex]\frac{90}{150} *100[/tex]= 60 percent

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The journal entry necessary to record the sale of goods on account includes debiting the Accounts Receivable and crediting the Sales Revenue account.

1. Identify the transaction details: Determine the amount and nature of the goods sold on account, including the sales price and any applicable taxes.

2. Debit the Accounts Receivable account: Increase the Accounts Receivable account by the total amount of the sale. This represents the amount owed to the company by the customer.

3. Credit the Sales Revenue account: Increase the Sales Revenue account by the total amount of the sale. This records the revenue generated from the sale of goods.

4. Include any applicable tax accounts: If taxes are involved, debit or credit the corresponding tax accounts accordingly. For example, if sales tax is collected, credit the Sales Tax Payable account.

5. Record any discounts or allowances: If the customer is entitled to any discounts or allowances, adjust the Accounts Receivable and Sales Revenue accounts accordingly.

6. Include any other relevant accounts: Depending on the specific circumstances of the sale, you may need to include additional accounts such as Cost of Goods Sold or Inventory.

7. Provide a brief description: Add a brief description of the transaction in the journal entry to provide clarity and reference for future accounting purposes.

Remember to consult with an accounting professional or refer to the specific accounting guidelines and policies of your organization to ensure accurate recording of journal entries.

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The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: 2.5

Quick Ratio: 1.5

Inventory Turnover: 7.5 times

Days' Sales in Receivables: 29.3 days

Debt-to-Equity Ratio: 1.7

Gross Profit Margin: 35.9%

Return on Assets: 14.5%

Return on Equity: 40.6%

The risk ratios for Virtual Gaming Systems for 2021 are as follows:

Current Ratio: The current ratio is calculated by dividing current assets by current liabilities.

Current Ratio = (Cash + Accounts Receivable + Inventory + Prepaid Rent) / Accounts Payable

Current Ratio = (188,000 + 83,000 + 107,000 + 12,200) / 68,000

Current Ratio = 2.5

Quick Ratio: The quick ratio (also known as the acid-test ratio) is calculated by excluding inventory from current assets in the current ratio formula.

Quick Ratio = (Cash + Accounts Receivable + Prepaid Rent) / Accounts Payable

Quick Ratio = (188,000 + 83,000 + 12,200) / 68,000

Quick Ratio = 1.5

Inventory Turnover: The inventory turnover ratio is calculated by dividing the cost of goods sold by the average inventory.

Inventory Turnover = Cost of Goods Sold / (Opening Inventory + Closing Inventory) / 2

Inventory Turnover = 1,952,000 / (137,000 + 107,000) / 2

Inventory Turnover = 7.5 times

Days' Sales in Receivables: The days' sales in receivables ratio is calculated by dividing accounts receivable by the average daily sales.

Days' Sales in Receivables = (Accounts Receivable / Net Sales) * 365

Days' Sales in Receivables = (83,000 / 3,046,000) * 365

Days' Sales in Receivables = 29.3 days

Debt-to-Equity Ratio: The debt-to-equity ratio is calculated by dividing total liabilities by total stockholders' equity.

Debt-to-Equity Ratio = (Current Liabilities + Long-term Liabilities) / Stockholders' Equity

Debt-to-Equity Ratio = (68,000 + 6,400 + 16,000 + 287,000) / (302,000 + 229,800)

Debt-to-Equity Ratio = 1.7

Gross Profit Margin: The gross profit margin is calculated by dividing gross profit by net sales and multiplying by 100 to express it as a percentage.

Gross Profit Margin = (Gross Profit / Net Sales) * 100

Gross Profit Margin = (1,094,000 / 3,046,000) * 100

Gross Profit Margin = 35.9%

Return on Assets: The return on assets ratio is calculated by dividing net income by total assets and multiplying by 100 to express it as a percentage.

Return on Assets = (Net Income / Total Assets) * 100

Return on Assets = (131,800 / 909,200) * 100

Return on Assets = 14.5%

Return on Equity: The return on equity ratio is calculated by dividing net income by total stockholders' equity and multiplying by 100 to express it as a percentage.

Return on Equity = (Net Income / Stockholders' Equity) * 100

Return on Equity = (131,800 / 531,800) * 100

Return on Equity = 40.6%

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The number of 90° angles formed by the intersections of EF and the parallel lines AB and CD is two.

When a line EF is perpendicular to lines AB and CD, it forms a total of two 90° angles. One 90° angle is formed at the intersection of EF and AB, and the other 90° angle is formed at the intersection of EF and CD.

The reason for this is that when a line is perpendicular to another line, it forms a right angle or a 90° angle at the point of intersection. Since EF is perpendicular to both AB and CD, it creates two such intersections, resulting in two 90° angles.

So, in this scenario, the number of 90° angles formed by the intersections of EF and the parallel lines AB and CD is two.

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The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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To be able to answer this question, we need to know that this problem linear function is . If we see the problem, we have:

1. Mary is spending money at an average rate of $5 per day. In this case, it represents the slope of the line. The slope of the line is the rate of change of this function. Then, we have that the slope is m = -5 --$5 per day (because she is spending money. She is going to have less and less money as time passes.) The slope is given by the difference in the y-coordinates over the difference in the x-coordinates, or, in this case, change in money (y variable), and change in days (x variable). We are told that the amount left depends on the number of days (money is a dependent variable of time):

2. In the question, we are given a point of the function (14 days, $68) (see below in the graph.)

Therefore, we have the slope of the line, and also a point of the line. As a result, we can write the equation in the point-slope form of this situation as follows:

We have that:

m = -5

x1 = 14

y1 = 68

Then, we have the point-slope form for the situation:

And to find the slope-intercept form of the line, we need to simplify the previous expression as follows:

Then, we have:

1. First, apply the distributive property:

2. Now, add 68 to both sides of the equation:

The graph for this line is:

We can see the graph with the values of the x- and y-intercepts. In the beginning, Mary had $138, and after almost 28 days, at this rate, she will have no money with her.

In summary, we have that:

1. The equation in point-slope form is:

[tex]y-68=-5(x-14)[/tex]

2. The equation in slope-intercept form is:

[tex]y=-5x+138[/tex]

. Figures 2 and 10 also demonstrate the same relationship, further supporting the proof of the theorem through visual representation.

I have chosen Image 4 to answer the questions.

A. In Image 4, the change from the previous image (Image 3) involves a translation of figure 5. The figure is shifted horizontally to the right, aligning its right side with the right side of figure 3. The transformation used is a horizontal translation.

B. I will choose figure 9 in Image 4. Figure 9 is a square located at the rightmost side of the image. Its side length is the same as the hypotenuse of the right triangle formed by figures 5, 7, and 8.

In relation to the figure in Image 1, the side length of figure 9 is equal to the square of the hypotenuse.

C. The length of figure 9, which represents the square of the hypotenuse, relates to the Pythagorean Theorem. According to the Pythagorean Theorem, the square of the hypotenuse (c^2) is equal to the sum of the squares of the other two sides (a^2 + b^2).

The length of figure 9, being a square, represents the square of the hypotenuse, confirming the relationship stated in the Pythagorean Theorem.

The visual proof demonstrates the Pythagorean Theorem by showing the relationship between the squares constructed on the sides of a right triangle.

Figures 5 through 9 depict different squares that relate to each other. The squares of the legs (a and b) in the triangle are shown in figures 5 and 7, and their areas are combined to form the square of the hypotenuse (c^2) in figure 9.

The visual proof visually illustrates that the sum of the areas of the squares constructed on the legs equals the area of the square constructed on the hypotenuse, which aligns with the Pythagorean Theorem.

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The slope of the ramp with a perpendicular of 1 and a base of 3 is -1/3 with downward slope. option D.

To determine the slope of a ramp, we need to use the formula for slope, which is given by the ratio of the vertical change (rise) to the horizontal change (run). In this case, we are given the perpendicular as 1 and the base as 3.

The perpendicular and base of a right triangle are related to the slope of the ramp. The perpendicular represents the vertical change or rise, and the base represents the horizontal change or run.

In this case, the perpendicular is 1 and the base is 3. So, the rise is 1 and the run is 3. To find the slope, we divide the rise by the run:

Slope = Rise / Run

Slope = 1 / 3

Therefore, the slope of the ramp is 1/3.

The slope can also be expressed as a fraction, -1/3, if we consider the direction of the slope. A negative slope indicates that the ramp is descending or sloping downward.

To summarize, the slope of the ramp with a perpendicular of 1 and a base of 3 is 1/3 or -1/3, depending on the direction of the slope.

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Answer:

1.1 cubic meters of concrete is required

Step-by-step explanation:

The area = l*b = 11 sq. m.

The depth d = 10 cm

1 cm = 0.01 m

⇒ 10 cm = 10*0.01 m

⇒ 10 cm = 0.1 m

⇒ d = 0.1 m

The volume = l*b*d

= 11 * 0.1

= 1.1

1.1 cubic meters of concrete is required

The solution set to inequality |x + 2| > 2 is equal to x < - 4 or x > 0, whose interval notation is x ∈ (- 4, 0).

In this problem we find the definition of the following inequality, whose solution set must be found:

|x + 2| > 2

First, use the definition of absolute value to eliminate bars:

x + 2 < - 2 or x + 2 > 2

Second, clear x on each expression:

x < - 4 or x > 0

Third, write the solution set in interval notation:

x ∈ (- 4, 0)

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Answer:

Step-by-step explanation:

It's great that you included a diagram! It helps make the question more clear.

To find the measure of angle X, we will use the fact that the sum of the angles in a quadrilateral is 360°.

We can see from the diagram that there are seven angles in the quadrilateral. We will denote the angles as a1, a2, a3, b1, b2, b3, and b4, such that angle a1 is the angle at the top left of the quadrilateral, and angle b4 is the angle at the bottom right.

We can use the given angles to find the measures of some of the other angles in the quadrilateral. For example

32° + 142° + b4 = 180°

b4 = 180° - 32° - 142° = 46°

We can apply similar reasoning to find the measures of angles a2 and a3.

a1 + b2 = 180°

b2 = 180° - a1

a2 + b3 = 180°

b3 = 180° - a2

We now have enough information to find the measure of angle X.

The quadrilateral is symmetrical across the midline, so the measure of angle a3 must be equal to the measure of angle a1.

Now we can find the measure of angle X using the fact that the sum of the angles in a quadrilateral is 360°, and we have the measures of six of the seven angles.

a1 + a2 + a3 + b1 + b2 + b3 + b4 = 360°

a1 + 2a2 + b1 + b2 = 180°

We can use substitution to find the measure of angle X:

a3 + 2a2 + b1 + b2 = 180°

a3 = 180° - 2a2 - b1 - b2

Substituting this into the last equation, we get:

(180° - 2a2 - b1 - b2) + 2a2 + b1 + b2 = 180°

180° = (180° - 2

We can rewrite log2(4) as log2(2^2) x = 2 Theerefore, the solution to the equation 2^x - 4 = -4^x + 4 is x = 2.

To solve the equation 2^x - 4 = -4^x + 4 for x, we'll first simplify the equation and then proceed with solving it.

Let's start by simplifying the equation:

2^x - 4 = -4^x + 4

Rearranging the equation, we have:

2^x + 4^x = 8

Now, let's rewrite 4^x as (2^x)^2:

2^x + (2^x)^2 = 8

We can now combine the terms with the same base, 2^x:

2^x + (2^x * 2^x) = 8

Applying the laws of exponents, we can simplify the equation further:

2^x + 2^(2x) = 8

Now, let's substitute a variable, say y, to represent 2^x:

y + y^2 = 8

Rearranging the equation, we have a quadratic equation:

y^2 + y - 8 = 0

To solve this quadratic equation, we can factorize it:

(y + 2)(y - 4) = 0

Setting each factor equal to zero, we have two possible solutions:

y + 2 = 0 OR y - 4 = 0

Solving each equation, we find:

y = -2 OR y = 4

Now, let's substitute y back into the original variable:

2^x = -2 OR 2^x = 4

The equation 2^x = -2 doesn't have a real solution because raising any positive number (2 in this case) to a real power will always yield a positive result.

However, for the equation 2^x = 4, we can solve it by taking the logarithm base 2 of both sides:

log2(2^x) = log2(4)

x * log2(2) = log2(4)

x * 1 = log2(4)

x = log2(4)

Using the logarithm properties, we can rewrite log2(4) as log2(2^2):

x = 2

Therefore, the solution to the equation 2^x - 4 = -4^x + 4 is x = 2.

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The volume of the rectangular tank is:

V = l × w × h = 40 cm × 30 cm × 35 cm = 42,000 cm³

The initial volume of water in the tank is:

V1 = l × w × h1 = 40 cm × 30 cm × 15 cm = 18,000 cm³

When 4800 cm³ of water is poured into the tank, the new volume of water becomes:

V2 = V1 + 4800 cm³ = 18,000 cm³ + 4800 cm³ = 23,800 cm³

Let's assume that the new water height is h2 cm. We can use the formula for the volume of a rectangular tank to find the new height:

V = l × w × h2

h2 = V / (l × w) = (23,800 cm³) / (40 cm × 30 cm) ≈ 19.83 cm

Therefore, the new height of the water in the tank is approximately 19.83 cm.

Answer:

16

Step-by-step explanation:

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Answer:

Mode : 16

Explanation:

The mode is the number that occurs the most in a set of data.

So let's find that number in the set:

16, 23, 12, 12, 20, 21, 16, 33, 21, 16.

In the set, all numbers except 12 occur twice; however, 16 occurs three times.

Hence, 16 is the mode.

The factored form of the polynomial function f(x) = 2x² - 9x - 18 is:

(2x + 3 )( x - 6 ).

Given the function in the question:

f(x) = 2x² - 9x - 18

For a polynomial in the form: ax² + bx + c,

Rewrite the middle term as a sum of the two terms whose product is:

a × c = 2 × -18 = -36

And whose sum is b = -9

f(x) = 2x² - 9x - 18

Factor -9 out of 9x:

f(x) = 2x² - 9( x ) - 18

Rewrite -9 as 3 - 12

f(x) = 2x² + (3 - 12)( x ) - 18

Distribute the x:

f(x) = 2x² + 3x - 12x - 18

Factor out the greatest common factor from each group:

f(x) = x( 2x + 3 ) - 6( 2x + 3 )

Group the first and last two:

f(x) = (2x + 3 )( x - 6 )

Therefore, the factored form is f(x) = (2x + 3 )( x - 6 ).

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Let [tex]x[/tex] be the number of bags of chips Bonnie bought.

Then, the number of cans of pop she bought is [tex]x + 10[/tex].

The total cost is [tex]\$17.50[/tex], so we can write an equation:

[tex]\qquad\qquad 0.5x + 1(x + 10) = 17.50[/tex]

Simplifying and solving for x:

[tex]\qquad\qquad\begin{gathered}0.5x + x + 10 = 17.50 \\ 1.5x + 10 = 17.50 \\ 1.5x = 7.50 \\ \fbox{x = 5}\end{gathered}[/tex]

[tex]\therefore[/tex] Bonnie bought 5 bags of chips and 5 + 10 = 15 cans of pop.

To check:

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

(ノ^_^)ノ [tex]\large\qquad\qquad\qquad\rm 06/21/2023[/tex]

SOLUTION: 5 bags of chips and 15 pops

Solving by substitution, choose your variables. In this case, let “c” represent the number of chips, and “p” the number of pop

Make your equations:

1.00p + 0.50c = 17.50

c + 10 = p

In the first equation, substitute “p” for the second equation:

1.00(c + 10) + 0.50c = 17.50

Distribute 1.00 to everything within the brackets:

1.00c + 10.00 + 0.50c = 17.50

Solve for “c”.

1.00c + 0.50c + 10.00 = 17.50

1.50c = 17.50 - 10.00

1.50c = 7.50

c = 5

Now, since we know that “p” is 10 more then “c”, we can substitute “c” for 5 in the second equation:

5 + 10 = p

15 = p

5 chips, 15 pops

Answer:

5×4=23 is incorrect because 5×4=20

6*3=9 is incorrect because 6*3=18 not 9

The second disjunction "5.6 = 30 or 3 + 4 = 7" is false.

To determine which of the given disjunctions is false, let's evaluate each statement:

8 + 3 = 11 or 5.4 = 23

This statement is false because 5.4 is not equal to 23.

5.6 = 30 or 3 + 4 = 7

This statement is false because 5.6 is not equal to 30.

4 - 3 = 2 or 6.3 = 9

This statement is true because 4 - 3 equals 1, which is not equal to 2, so the first part of the disjunction is false. However, 6.3 does equal 9, making the second part of the disjunction true.

7 + 6 = 13 or 5.2 = 10

This statement is true because 7 + 6 equals 13, making the first part of the disjunction true. However, 5.2 is not equal to 10, so the second part of the disjunction is false.

Therefore, the second disjunction "5.6 = 30 or 3 + 4 = 7" is false.

for such more question on disjunction

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Answer:

[tex] \sqrt{ {( - 3 - 0)}^{2} + {( - 3 - 1)}^{2} } = [/tex]

[tex] \sqrt{ {( - 3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]