What is the volume, in cubic feet, of the right rectangular
prism shown by the net? Show your work.

i think it’s upside down turn your phone or something pls

D.

It's an upside-down ln(x) function that's been shifted 3 units to the left.

The total number of possible lock combination using the 40 possible numbers for making lock of 3 numbers is equal to 64,000.

Possible number used for lock combination are 40.

Range is 0 - 39.

Total number chosen for lock combination is equal to 3.

Since there are 40 possible numbers to choose from for each of the three positions on the combination lock.

The total number of possible combinations is equal to ,

40 x 40 x 40

= 40^3

= 64,000

Therefore, there are 64,000 possible lock combinations when choosing 3 numbers out of 40 possible numbers, assuming repeated numbers are allowed.

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There are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

The multiplication principle states that if there are m ways to perform one task and n ways to perform another task, then there are m x n ways to perform both tasks together.

To find the number of ways to choose 3 men from the 12 men, we can use the formula for combination, which is: ⁿCᵣ = n! / (r! (n-r)!).

where n is the total number of men and r is the number of men chosen

so, the number of ways to choose 3 men from the 12 men = ¹²C₃ = 1.

Similarly, we evaluate the number of ways to choose 2 women from the 8 women

as = ⁸C₂ = 14

Now, using the multiplication principle, we can find the total number of ways 3 men and 2 women be chosen if they are equally considered.

220 x 14 = 3080

Therefore, there are 3080 ways 3 men and 2 women can be chosen if they are equally considered, using the multiplication principle of counting

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Answer:

A, B, F

- The radius of the circle is 3 units

- The center of the circle lies on the x-axis

- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9

Step-by-step explanation:

The first option is correct because the standard equation of the circle is:

\((x - 1)^{2} + {y}^{2} = 9\)

making the radius equal to 3.

The center is at (-1,0), therefore it lies on the x-axis.

And lastly, the last option is correct because both options have the radius of 3.

Answer:

3.5in^2

Step-by-step explanation:

Quadratic formula using Lin's theory.

Answer:

use the quadratic formula

Step-by-step explanation:

Answer:

Perimeter: 2(2x - 7) + 2(3*2 + 4x)

Step-by-step explanation:

Area: (2x - 7) * (3*2 + 4x)

         (2x - 7) * (6 + 4x)

                 8x-42

Perimeter: 2(2x - 7) + 2(3*2 + 4x)

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

Perimeter is the sum of length of the sides used to made the given figure.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

WE need to find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.

Area = (2x - 7) * (3*2 + 4x)

Area = (2x - 7) * (6 + 4x)

Area =  8x - 42

The Perimeter: of the rectangular garden that has a width of 4x−6 and a length of 2x+4 is 2(2x - 7) + 2(3*2 + 4x).

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Investment X earns the greater amount of interest over a period of 2 years.

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = PRT

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

Let's consider that Ian invests in X, then:

Principle amount, P = $6,000
Time, T = 2 Years

Rate of Interest, R = 4.5% at simple Interest = 0.045

The interest earned is:

Interest = PRT = $6,000 × 0.045 × 2 = $540

Now, consider that Ian invests in Y, then:

Principle amount, P = $6,000
Time, n = 2 Years

Rate of Interest, R = 4% at Compound Interest = 0.04

The interest earned is:

Interest = P(1+R)ⁿ - P

            = $6,000(1+0.04)² - $6,000

            = $489.6

Since $540>$489.6, therefore, Investment X earns the greater amount of interest over a period of 2 years.

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Answer:

Step-by-step explanation: y= x -2 i hope this helps

The air speed of the plane to cover 360 miles against the wind and with the wind in the given time is equal to 200 miles per hour.

Let 'x' be the speed of the plane fly in still air.

And 'y' be the speed of the wind.

Speed against the wind = x - y

Speed with the wind = x + y

Total distance covered by plane = 360 miles

Time taken against the wind = 2 hours 15 minutes

                                               = 2 ( 1/4 ) hours

                                               = 9 / 4 hours

Time taken with the wind = 1 hour 30 minutes

                                          = 1 ( 1/2 ) hours

                                          = 3 /2 hours

Speed = distance / time

Against the wind :

x - y = 360 / (9 /4 )

⇒x - y = 160___(1)

With the wind:

x + y = 360 / (3 /2)

⇒x + y = 240 ___(2)

Add (1) and (2) we get,

2x = 400

⇒ x= 200miles per hour

⇒y = 40 miles per hour

Therefore, the air speed of the plane as per given condition is equal to 200miles per hour.

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Answer:

Joanie is correct. Each second sweater is sold at 40% off. If you divide this by 2 each sweater is sold by 20% off.

Joanie buys 4 sweaters and saves 20% total.

Drop downs:

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

Answer:

The length will be 13 feet.

Step-by-step explanation:

Let the width be represented by w.

Based on the information given, the length will be:

= (2 × w) - 3

= 2w - 3

Therefore, the perimeter will be:

2(w) + 2(2w - 3) = 42

2w + 4w - 6 = 42

6w = 42 + 6

6w = 48

w = 48/6

w = 8

Therefore, the length will be:

L = 2w - 3

L = 2(8) - 3

L = 16 - 3

L = 13 feet

The length is 13 feet.

since a year is 12 months thus six months is 6/12 of a year, now let's assume a year is 365 days.

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1000\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases}\)

\(A = 1000\left(1+\frac{0.045}{365}\right)^{365\cdot \frac{1}{2}} \implies A = 1000\left( \frac{73009}{73000} \right)^{182.5} \\\\\\ A\approx 1022.75\hspace{5em}\underset{ \textit{earned interest} }{\stackrel{ 1022.75~~ - ~~1000 }{\approx \text{\LARGE 22.75}}}\)

Answer:

Technically, it already works because you have $16.15

Step-by-step explanation:

a. Category A: 56%, Category B: 18%, Category C: 26%

b. Category A is the most common, Category B is the least common, and Category C falls in between in terms of occurrence.

a. To compute the percentage of values in each category, we need to calculate the proportion of each category relative to the total number of occurrences.

Total Frequency = 28 + 9 + 13 = 50

Percentage of Category A: (Frequency of A / Total Frequency) × 100 = (28 / 50) × 100 = 56%

Percentage of Category B: (Frequency of B / Total Frequency) × 100 = (9 / 50) × 100 = 18%

Percentage of Category C: (Frequency of C / Total Frequency) × 100 = (13 / 50) × 100 = 26%

b. Based on the computed percentages, we can make the following conclusions concerning the categories:

- Category A has the highest percentage (56%), indicating that it occurs most frequently among the three categories.

- Category B has the lowest percentage (18%), indicating that it occurs least frequently among the three categories.

- Category C has a moderate percentage (26%), indicating a moderate occurrence compared to Categories A and B.

Therefore, we can conclude that Category A is the most common, Category B is the least common, and Category C falls in between in terms of occurrence.

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Answer:

Step-by-step explanation:

-5 - 2(3x - 4) = 3(x - 4) + 6

-5 - 6x + 8 = 3x - 12 + 6

-6x + 3 = 3x - 6

3 = 9x - 6

9 = 9x

1 = x

Answer: x =1

Step-by-step explanation:

-5-2(3x-4) = 3(x-4) +6   Apply the distributive property to break it down.

-5-6x+8 = 3x -12 +6   Combine like terms

-6x + 3 = 3x - 6        Add 6x to both sides

+6x         +6x

3 = 9x  -6       Add 6 to both sides

+6        +6

9=9x             Divide both sides by 9

x= 1

The circumference of the circular test track is 3.3 km. When a car travels around the track from the southernmost point to the northernmost point, it covers the entire circumference of the track.

To calculate the distance traveled by the car, we can use the formula: distance = circumference.

In this case, the distance traveled by the car is equal to the circumference of the track, which is 3.3 km.

So, when the car completes one full lap around the track, it will have traveled a distance of 3.3 km.

If the car completes multiple laps around the track, the total distance traveled will depend on the number of laps. For example:

- If the car completes 2 laps, the total distance traveled will be 2 times the circumference, which is 2 * 3.3 km = 6.6 km.
- If the car completes 3 laps, the total distance traveled will be 3 times the circumference, which is 3 * 3.3 km = 9.9 km.

Therefore, the distance traveled by the car around the circular test track depends on the number of laps completed.

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Answer:

C

Step-by-step explanation:

We'll have to use trigonometry for this.

First, note that in right triangle ABC, if we look from the perspective of angle A, the opposite side is x, the adjacent side is y, and the hypotenuse is 18.

In order to find x, then, we must use sine, which is opposite/hypotenuse. So:

sin(A) = sin(60) = opposite/hypotenuse = x/18

sin(60) is equal to (√3)/2, so multiplying both sides by 18 gives:

[(√3)/2] * 18 = 9√3

Already, we can tell that the answer is likely C, but let's find y to make sure.

We will use cosine to find y because cos = adjacent/hypotenuse.

cos(A) = cos(60) = adjacent/hypotenuse = y/18

cos(60) = 0.5, so multiplying both sides by 18 gives:

0.5 * 18 = 9

So, y = 9.

Thus, C is our answer.

~ an aesthetics lover

Answer:

C

Step-by-step explanation:

Using the cosine/ sine ratio in the right triangle and the exact values

cos30° = \(\frac{\sqrt{3} }{2}\) and sin30° = \(\frac{1}{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{BC}{AC}\) = \(\frac{x}{18}\) = \(\frac{\sqrt{3} }{2}\) ( cross- multiply )

2x = 18\(\sqrt{3}\) ( divide both sides by 2 )

x = 9\(\sqrt{3}\)

----------------------------------------------------------

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{y}{18}\) = \(\frac{1}{2}\) ( cross- multiply )

2y = 18 ( divide both sides by 2 )

y = 9

Thus

x = 9\(\sqrt{3}\) and y = 9 → C

Cartlon's score is 4.5434.

Given that,

Carlton has a z-score 1.74 on the achievement test.

From the z-table we get the value 0.959.

We know the formula for standard deviation,

z = (x - μ) / σ

where x = score, σ = standard deviation, μ =  mean

Now z-score corresponding to 98th percentile is 2.06

substituting the values in the above equations,

2.06 = (x - 0.959) / 1.74

i.e. x - 0.959 = 2.06 * 1.74

                    x = 3.5844 + 0.959

                    x = 4.5434

Therefore carlton's score is 4.5434.

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we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

To compute n, we can use the formula:
n = ((zα/2)^2 * 2p*(1-p*)) / (ε^2)
Where zα/2 is the z-score associated with a confidence level of 1-α, p* is the probability of success for a binomial distribution, and ε is the margin of error.
Since we are given that the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 is at least 0.80, we can set α = 0.20 to find the corresponding z-score of 1.28.
Using p* = 1/2 as an upper bound for both P1 and P2, we can calculate the margin of error as:
ε = zα/2 * sqrt((p*(1-p*)) / n)
Plugging in the values, we get:
0.05 = 1.28 * sqrt((0.25) / n)
Solving for n, we get:
n = 501.76
Therefore, we would need a sample size of at least 502 for the approximate probability of the random interval (Y1/n - Y2/n) ‡ 0.05 covering pi - p2 to be at least 0.80.

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Answer:

The number is 40.

Step-by-step explanation:

Step 1: Assume your variables

Consider the 'number' to be \(x\).

Step 2: Create an equation(s)

The information in the question states that the difference between \(\frac{2}{5}\) of \(x\) and \(9\), is \(7\).

Representing this mathematically gives us:

\((\frac{2}{5}\times x) -9=7\)

Step 3: Solve the equation

The equation we have is:

\((\frac{2}{5}\times x) -9=7\)

So, let's solve it:

\((\frac{2}{5}\times x) -9=7\\\\\text{Add 9 to both sides:}\\(\frac{2}{5}\times x) -9+9=7+9\\\\\text{Simplify:}\\(\frac{2}{5}\times x)=16\\\\\text{Multiply by}~\frac{5}{2}~\text{on both sides:}\\\frac{5}{2}\times\frac{2}{5}\times x=16\times \frac{5}{2}\\\\\text{Simplify:}\\1\times x=\frac{80}{2}\\\\\text{Calculate:}\\x=40\)

Answer:

See Explanation

Step-by-step explanation:

\( \because \angle 1 \) and \( \angle 2 \) are complementary.

\( \therefore m\angle 1+m\angle 2=90\degree... (1)\)

\( \because \angle 2 \) and \( \angle 3 \) are complementary.

\( \therefore m\angle 2+m\angle 3=90\degree... (2)\)

From equations (1) & (2), we find:

\( m\angle 1+m\angle 2=m\angle 2+m\angle 3

\)

\( m\angle 1+m\angle 2-m\angle 2=m\angle 3

\)

\( m\angle 1=m\angle 3\)

Thus proved.

Answer:

Step-by-step explanation:

This problem can be solved using a technique called the Pigeonhole Principle. The Pigeonhole Principle states that if n+1 or more objects are placed into n pigeonholes, then at least one pigeonhole will contain two or more objects.

In this problem, we have 1600 delegates divided into 16000 committees of 80 persons each. We can think of each delegate as an object and each committee as a pigeonhole. Since 1600 delegates are placed into 16000 pigeonholes, we know that by the Pigeonhole Principle, at least one pigeonhole will contain two or more delegates.

In other words, there must be at least one committee that has at least two delegates in common with another committee. We can prove that there will be at least four common members by assuming the worse scenario where each committee is formed by different people, and noting that there are more delegates than the number of committees, so it's impossible that all committees have different members, and therefore there will be at least four common members.

Therefore, it is possible to find two committees having at least four common members.

Answer:

C

Step-by-step explanation:

All the other answers are changing direction at some point so the sign of velocity is changing. The only one that is not changing is C, so C is correct.

Answer: A circle

Step-by-step explanation: a circle

Step-by-step explanation:

the (A) formula is preferable to use and is the correct one

Answer:

18

Step-by-step explanation:

From the above question,

We have the Algebraic expression

(5x - 4)° + 94° = 180°

5x - 4° + 94° = 180°

5x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18

Answer:

18

Step-by-step explanation:

Step-by-step explanation:

Two straightener angle are ∠1 and ∠2 , and also a number of straightener angle is 180°. We can make the equation into :

∠1 + ∠2 = 180°

KNOWN ∠2 = 115°

Prove that ∠1 = 65°

Using the equation before, to find ∠1

∠1 + ∠2 = 180°

∠1 +115° = 180°

∠1 = 180° - 115°

∠1 = 65° Proved