Which is greater than 4: (a) 5 or (b) 5?

Answer:

first number is 5

second number is 7

Step-by-step explanation:

let x and y represent the first and second number

5x - 2y = 11 ........ equation 1

3x - 2y = 11.......... equation 2

so by elimination, equation 1 minus equation 2

5x - 3x - 2y - 2y = 11 - 1

2x = 10

x = 5

therefore the first number is 5

put x = 5 into equation 1

5x - 2y = 11

5(5) - 2y = 11

25 - 2y = 11

-2y = 11 - 25

-2y = - 14

y = 7

therefore the second number is 7

hope it helps .

\( \huge\mathbb{ \underline{SOLUTION :}}\)

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The \(\mathrm{distributive \: property}\) states that an expression that is given in the form of \(\small\sf{ A(B + C)}\) can be solved as \(\small\sf{A \times (B + C) = AB + AC}\) . So:

\(\small\longrightarrow\sf{-24-18-2+4}\)

\(\small\longrightarrow\sf{-42+2}\)

▪ \(\large\tt{All \: \: options \: \: are \: \: wrong}\)

\(\\\)

\(\huge \mathbb{ \underline{ANSWER:}}\)

\(\small\longrightarrow\sf{−6 (2^2+3) − 2 (1^2 - 2) = \underline{-6(4+3)}}\)

Answer:

Amount of grass needed (In square meter) = 34 meter²

Step-by-step explanation:

Divide given shape into rectangle and trapezium

Given:

Width of rectangle = 2 m

Length of rectangle = 5 m

Height of parallelogram = 9 - 5 = 4 m

Base of parallelogram = 10 m

Opposite site of parallelogram = 2 m

Find:

Amount of grass needed (In square meter)

Computation:

Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram

Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)

Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)

Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)

Amount of grass needed (In square meter) = 10 + 24

Amount of grass needed (In square meter) = 34 meter²

The general solution to the differential equations. y' = 3x – 2y is y = e^(2x)[(-3/4)x - (3/8) + Ce^(2x)]. C is an arbitrary constant. This is the general solution to the given differential equation.

To find the general solution to the given differential equation y' = 3x - 2y, we first recognize that it is a first-order linear differential equation. The general form of such an equation is y' + P(x)y = Q(x), where P(x) and Q(x) are functions of x. In this case, P(x) = -2 and Q(x) = 3x.

To solve this differential equation, we first find the integrating factor, which is given by the formula: IF = e^(∫P(x)dx). In our case, IF = e^(∫-2dx) = e^(-2x).

Next, we multiply the entire equation by the integrating factor: e^(-2x)(y' - 2y) = 3xe^(-2x). Now, the left side of the equation is the derivative of y * e^(-2x). So, d/dx[y * e^(-2x)] = 3xe^(-2x).

Now we integrate both sides with respect to x:

∫d(y * e^(-2x)) = ∫3xe^(-2x) dx.

By integrating, we get:

y * e^(-2x) = (-3/4)xe^(-2x) - (3/8)e^(-2x) + C,

where C is the integration constant.

Finally, we solve for y:

y = e^(2x)[(-3/4)x - (3/8) + Ce^(2x)],

where C is an arbitrary constant. This is the general solution to the given differential equation.

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The equity beta for a firm is 0.944.

Equity Beta:

Equity Beta measures the volatility of the stock to the market, i.e., how sensitive is the stock price to a change in the overall market. It compares the volatility associated with the change in the prices of a security.

The formula to calculate equity beta:

Equity beta = Asset beta ( 1 + D/E( 1 - Tax))

Asset beta = 0.8

D/E = 0.3

Tax rate = 40%

Equity beta =  0.8 ( 1 + 0.3( 1- 40/100))

                   = 0.8 ( 1 + 0.3 × 6/10)

                   = 0.8 ( 1 + 0.18)

                   = 0.8 × 1.18

                   =0.944

Therefore the equity beta is 0.944.

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Answer:

Step-by-step explanation:

When the second bus catches up to the first bus, this means that the distance they have travelled is equal.

So for bus 1, you know it travels at 40 miles per hour.

4pm = 0 miles

5pm = 40 miles

6 pm = 80 miles

7pm = 120 miles

For bus 2, you know it travels at 60 miles per hour

5pm = 0 miles

6pm = 60 miles

7pm = 120 miles.

So you can see that at 7pm, they will both have travelled 120 miles.

Answer:

1.57 is approximately equal to π/2.

Answer:

\(1\frac{1}{5}\)

Step-by-step explanation:

3 = 3/1

(multiply top and bottom separately for fractions)

\(\frac{3}{1}\) × \(\frac{2}{5}\) = \(\frac{6}{5}\)

\(\frac{6}{5} = \frac{5}{5}+\frac{1}{5}= 1\frac{1}{5}\)

Answer:

Step-by-step explanation:

multiplying three (3) and two(2) and express the product of three and two over five.

five can enter in six three times , remainder 1

The fraction in lowest terms is one whole number , one over five.

There are 720 different choices if order matters and there are 120 different choices if order does not matter.

a) If order matters,

The player can choose the first number in 10 ways (any of the digits 0-9), the second number in 9 ways (since one digit has already been chosen), and the third number in 8 ways (since two digits have already been chosen).

So the total number of choices is:

10 x 9 x 8 = 720

Therefore, there are 720 different choices if order matters.

b) If order does not matter,

We need to divide the number of choices by the number of ways the three numbers can be arranged.

Since there are 3 numbers, they can be arranged in 3! = 6 ways.

So the number of choices when order does not matter is:

(10 x 9 x 8) / 6 = 120

Therefore, there are 120 different choices if order does not matter.

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It is not possible to reach the top of the ladder to the edge of the roof.

We can solve this problem using the Pythagorean theorem, which states that for a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the hypotenuse (the longest side).

In this case, the ladder is the hypotenuse of a right triangle, and the distance from the base of the ladder to the house and the distance from the top of the ladder to the edge of the roof are the two shorter sides.

Let x be the distance from the top of the ladder to the edge of the roof. Then, we can write:

\(10^{2}\) = \((1.5)^{2}\) + \(x^{2}\) + \(12^{2}\)

Simplifying and solving for x, we get:

100 = 2.25 +\(x^{2}\) + 144

\(x^{2}\) = 100 - 2.25 - 144

\(x^{2}\) = -46.25

Since x represents a distance, which must be positive, this means that there is no solution to the equation. Therefore, it is not possible for Sammy to reach the edge of the roof with his 10-foot ladder while keeping the base of the ladder at least 1.5 feet from the base of the house.

Correct Question :

Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the base of the ladder must be at least 1.5 feet from the base of the house. how far is it from the top of the ladder to the edge of the roof?

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Answer:

78.5

Step-by-step explanation:

to rind area of a circle you do ..

pi×r^2

pi being 3.14

r being 5^2= 25

3.14×25 = 78.5

hope this helps

Answer:

49.5

Step-by-step explanation:

i looked it up lol just kidding i put it in the calculator

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{3} x + 3\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{3\implies\cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}\)

so we're really looking for the equation of a line whose slope is -1/3 and that is passes through (3 , 2)

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\hspace{10em} \stackrel{slope}{m} ~=~ - \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{- \cfrac{1}{3}}(x-\stackrel{x_1}{3}) \\\\\\ y-2=- \cfrac{1}{3}x+1\implies {\Large \begin{array}{llll} y=- \cfrac{1}{3}x+3 \end{array}}\)

Answer:

Step-by-step explanation:

9.6×10^9=96/10 ×10^9=96×10^8=9,600,000,000

Answer:

3160

Step-by-step explanation:

3.16 x 10^3

10^3 = 1000

so you move the decimal point three times to the right

I hope this helps

Answer:

3,160

Step-by-step explanation:

This is expressed in scientific notation. Since 3 is positive, that means the number is actually larger than 3.16, not smaller.

You would take

3.1600

and move the decimal point 3 spaces to the right

31.600

316.00

3160.0

3,160 is your answer

Hope this helps :-)

Based on the information provided, Panel A is most likely showing a regression discontinuity design, while Panel B is showing a difference-in-difference design.

In a regression discontinuity design, the treatment group is determined based on a cutoff point, such as a certain score on a test.

This design is used to estimate the causal effect of a treatment by examining the difference in outcomes between the treatment and control groups before and after the treatment.

To summarize, Panel A most likely shows a regression discontinuity design, while Panel B most likely shows a difference-in-difference design.

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The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.

To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:

Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)

Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)

Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)

The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.

The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:

Project 1: IRR ≈ 17.5%

Project 2: IRR ≈ 15.3%

Project 3: IRR ≈ 13.8%

The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.

Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.

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The highest frequency of any score in the histogram would be 5/20 = 0.25.

The score that has the highest frequency is 8. This is determined by counting the number of bars corresponding to each score. In this histogram, there are 5 bars corresponding to the score 8, which is the highest number compared to any other score.

Formulaically, we can calculate the frequency for each score by dividing the number of observations for that score by the total number of observations. For the score 8, this would be 5/20 = 0.25. This is the highest frequency of any score in the histogram.

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The population in 123 years will be 5600000.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. in this case, it is vital to note that they have at least two terms which have to be related by through an operator.

In this case, the city doubles its size every 41 years. If the population is currently 700,000. After 123 years, it'll have doubled 3 times.

The population will be:

= 700000 × 2³

= 5600000

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Answer: 5600000

Step-by-step explanation: I got it right on my ixl

Following the proportions given in the table, it is found that in the 7th arrangement, there will be:

From the table, it can be seen that for the nth arrangement, the number of daisies and tulips follows a proportional relationship, that is:

Hence, in the 7th arrangement, there will be:

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considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.

B. Not a good idea; There are frequently differential costs to errors. One error may have larger consequences than another, so a percent of correct classifications would not account for these varying costs.

C. Not a good idea; We are frequently predicting classification in which the probability of each group is quite different, simply guessing the majority category will frequently result in an excellent overall classification rate.

D. Not a good idea; The division's models always result in a 95% accuracy rate. Using the total accurate classification rate would result in all models appearing equal when they are not.

The total accurate classification rate, which measures the percent of all cases properly classified, may not be a good idea as the sole metric to evaluate the division's models. This is because:

B. There are frequently differential costs to errors. Different types of errors may have varying consequences, and a simple percent of correct classifications does not account for these varying costs.

C. Predicting classifications where the probability of each group is significantly different can lead to excellent overall classification rates by simply guessing the majority category, which may not truly reflect the model's performance.

D. If the division's models consistently produce a high accuracy rate (e.g., 95%), using the total accurate classification rate alone would make all models appear equal, even though they may have different levels of performance or predictive abilities.

In summary, considering additional factors such as the costs of errors, the distribution of probabilities, and distinguishing between models with high accuracy rates can provide a more comprehensive evaluation of the division's models.

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Answer:

What is the question?

Step-by-step explanation:

Answer:

35% chance

Step-by-step explanation:

At this rate 15 more minutes the girls can exchange texts before they are charged extra.

Given that,
Katrina and Becca exchanged 270 text messages in 45 minutes. An equal number of texts was sent each minute. The girls can send 90 more text messages before they are charged additional fees.

Here,
Total message sent = 270
in time = 45 minutes
Rate = 270 / 45 = 6 messages per minute
Time for the exchange of 90 messages = 90 / 6 = 15 minutes

Thus, At this rate 15 more minutes the girls can exchange texts before they are charged extra.

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Answer: To find the probability of Janice making her next free throw, you can use the proportion of successful free throw shots out of the total number of free throw shots attempted so far.

First, we need to find the number of free throws made by Janice so far:

80% success rate * 15 free throws attempted = 12 free throws made

Then we add the number of free throws made today:

12 + 3 = 15

Then we add the number of free throws attempted today:

15 + 5 = 20

So the probability of Janice making her next free throw is:

15 free throws made / 20 free throws attempted = 75%

So, the probability that Janice will make her next free throw is 75%.

It's worth noting that this answer is based on the assumption that her success rate will remain the same and doesn't take into account any other variable or change in her performance.

Step-by-step explanation:

Answer: =−0.889

Step-by-step explanation:

math

Based on the passage you provided, it seems like you are being asked to apply principles of logic and construct a truth table based on the premises and conclusion presented in the passage. To accomplish this, you need to follow the three steps outlined:

Step 1: Break the premises into several statements (usually denoted by p, q, r, etc.)

From the passage, we can identify the following statements:

- Statement 1: Water is fundamental for life and the environment.

- Statement 2: Water crisis is one of the most important challenges of the 21st century.

- Statement 3: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- Statement 4: If all public services collaborate to address the water scarcity problem, then the governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- Statement 5: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- Statement 6: Therefore, there is no efficient collaboration among various public sectors to address the water shortage problem.

Step 2: Express the premises and conclusion symbolically.

Using the statements identified above, we can symbolically represent them as follows:

- p: Water is fundamental for life and the environment.

- q: Water crisis is one of the most important challenges of the 21st century.

- r: Ensuring that we use water more wisely, more productively, and less profligately will be one of the defining challenges of this century.

- s: All public services collaborate to address the water scarcity problem.

- t: Governments will be able to provide a planning framework to manage water usage and boost awareness of the water crisis.

- u: There is a lack of planning frameworks or there are not enough campaigns to raise awareness of the water crisis.

- v: There is no efficient collaboration among various public sectors to address the water shortage problem.

Step 3: Construct a truth table.

To construct a truth table, assign truth values (T or F) to each statement and evaluate the truth value of the conclusion based on the truth values of the premises

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Answer:

3 digits

Step-by-step explanation:

Hopefully that helps.

Answer:

3 digits

Step-by-step explanation:

Using a calculator, we find √14641 = 121, which has 3 digits.