Ol) simplify 3x- 4b - 2a + 56 ​

As per the permutation method, there are 215,160 different ways are available for making the letters with vowel as the starting letter and s as the ending letter.

The term permutation in math is defined as  a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters

Here we need to find the number of combination for the word that start with a vowel and end with an s.

As we all know that there are 26 letters in alphabets.

so that would be all four letter words - four letter words with no vowel.

Then it can be calculated as the total number of four letter words

=> 26P4 or 26C4*4!

Then the number of four letter words without a vowel is calculated as

=> 21P4

Therefore, it can be written as,

=> 26P4 - 21P4

Then the resulting word count is calculated as,

=> (26 x 25 x 24 x 23) - (21 x 20 x 19 x 18)

=> 215160

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An expression that is the product of two factors and is equivalent to -2x-10 is -2(x+5).

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same.

The given expression is -2x-10.

Now, -2(x+5)

The two factors are -2 and x+5

Therefore, an expression that is the product of two factors and is equivalent to -2x-10 is -2(x+5).

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The probability that a customer waits 3 minutes or more in the line is 0.6763 (option a). This means that there is a 67.63% chance that a customer will experience a waiting time.

To calculate this probability, we can use the formula for the M/M/1 queuing system. In this system, the arrival rate follows a Poisson distribution, and the service time follows an exponential distribution. Given an average arrival rate of 11 customers per hour and an average service rate of 14 customers per hour, we can determine the arrival rate (λ) and service rate (μ) as follows: λ = 11 customers/hour and μ = 14 customers/hour.

Using these values, we can calculate the traffic intensity (ρ) as ρ = λ/μ = 11/14 = 0.7857. The traffic intensity represents the utilization of the system, indicating how busy the server is relative to its capacity. In this case, the traffic intensity is less than 1, indicating that the system is stable.

Next, we can use Little's Law, which states that the average number of customers in the system (L) is equal to the average arrival rate (λ) multiplied by the average time spent in the system (W). Since we are interested in the waiting time, we can calculate the average waiting time (Wq) using the formula Wq = L/(λ(1-ρ)).

Plugging in the values, we get Wq = (11/14)/(11(1-0.7857)) = 0.6763. This represents the average waiting time in the system. Finally, to find the probability that a customer waits 3 minutes or more, we need to calculate the probability of the waiting time being greater than or equal to 3 minutes. This can be done using the exponential distribution, which has a parameter equal to the service rate (μ) in this case. Using the formula P(Wq ≥ 3 minutes) = e^(-μWq), we find P(Wq ≥ 3 minutes) = e^(-14 * 0.6763) ≈ 0.6763 (option a).

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Answer:

Step-by-step explanation:

a) The probability that a california adult is an internet user, given that he or she is a college graduate can be represented with the following

P(internet user|college graduate) = P(internet user ∩ college graduate) P(college graduate) = 0.19/26= 0.7307

= 0.73

b) The probability that a randomly chosen internet user is a college graduate?

P(college graduate|internet user) = P(internet user ∩ college graduate) P(internet user) = 0.19/0.31= 0.6129

= 0.61

Answer:

B 100

Step-by-step explanation:

A straight line is measure to 180°. n+80=180

Answer:

option B (100)

Step-by-step explanation:

Answer:

Hi, I can't help you with this sorry ( I suck at maths) but I think we have the same biology work so do you mind maybe helping each other? I would love somebody to talk to and to meet someone so we can work together :) Currently, I am doing an online school and have no friends :( I would really appreciate it if you took your time to contact me!

Thank u <3

(Sorry for taking the points I don't really use mine so if you want I can make a question like 2+2 so I can give you even more points)

Answer:

x=12

Step-by-step explanation:

(x-6)=6

x=12

False. A rectangle is conventionally used in a process flowchart to represent a storage area or queue. Triangles are typically used in flowcharts to represent decision points, where a choice must be made between two or more alternatives.

Rectangles are used to represent activities or operations, while arrows connecting the shapes indicate the flow or direction of the process. The use of standardized shapes in flowcharts helps to make them easily understandable and accessible to a wide range of individuals, regardless of their background or experience with the specific process being depicted.

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Answer:

hope it helps you.....

and I m feeling bad for my handwriting

The proof of the value of the inverse equation f^-1(50) = 3 is below

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

f(x) = 2x^3 - 4

To show that f^-1(50) = 3, we simply show that

f(3) = 50

substitute the known values in the above equation, so, we have the following representation

f(3) = 2 * 3^3 - 4

Evaluate

f(3) = 50

Hence, the proof of the value of the inverse equation is done

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a. The probability  is approximately 0.706.

b. The probability is approximately 0.932.

c. The probability is approximately 0.226.

d. The web traffic exceeds approximately 5.31 million visitors per day.

a. To calculate the probability that the website has fewer than 5 million visitors, we need to find the z-score corresponding to 5 million and use the standard normal distribution table. The z-score is calculated as (5,000,000 - 4,500,000) / 820,000 = 0.6098. Looking up this z-score in the table, we find the probability to be approximately 0.706.

b. To find the probability that the website has 3 million or more visitors, we calculate the z-score for 3 million as (3,000,000 - 4,500,000) / 820,000 = -1.8293. Using the standard normal distribution table, we find the probability to be approximately 0.932 (1 - 0.932 = 0.068 for fewer than 3 million visitors).

c. To calculate the probability that the website has between 3 million and 4 million visitors, we calculate the z-scores for both values: (3,000,000 - 4,500,000) / 820,000 = -1.8293 and (4,000,000 - 4,500,000) / 820,000 = -0.6098. Using the standard normal distribution table, we find the probability between these z-scores to be approximately 0.226.

d. To determine the web traffic amount that requires additional server capacity, we need to find the z-score corresponding to the 85th percentile, which is given by 1 - 0.85 = 0.15. Looking up this z-score in the standard normal distribution table, we find it to be approximately 1.0364.

Solving for the traffic level, we have (1.0364 * 820,000) + 4,500,000 = approximately 5,310,328 visitors per day. Therefore, Smiley's People would need to purchase additional server capacity when the web traffic exceeds approximately 5.31 million visitors per day.

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The discriminants of the given quadratics are as follows: a. Discriminant = -135, indicating no real factors. b. Discriminant = 280, indicating two distinct real factors. c. Discriminant = 161, indicating two distinct real factors. d. Discriminant = -32, indicating no real factors.

The discriminant of a quadratic equation, given by the formula Δ = b² - 4ac, helps determine the nature of the roots or factors of the quadratic equation.

In case (a), the discriminant is negative (-135), indicating that the quadratic equation has no real factors. This means that the equation does not intersect the x-axis and has complex roots. To find the factors, one would need to use the completing the square method to rewrite the equation in a different form.

In cases (b) and (c), the discriminants are positive (280 and 161, respectively), indicating that the quadratic equations have two distinct real factors. This means that the equations intersect the x-axis at two different points. Since the discriminants are positive, the quadratic equations can be factored without needing to use the completing the square method.

In case (d), the discriminant is negative (-32), indicating that the quadratic equation has no real factors. Similar to case (a), the equation does not intersect the x-axis and has complex roots. Completing the square method would be needed to obtain the factors.

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To convert 21.73 m to customary units, we need to use the conversion factors as follows:

meter = 39.37 inches1

inch = 2.54

cm1 foot

= 12 inches

We have:

21.7.

3 m

= 21.73 x 39.37 inches (since 1 mete

r = 39.37 inches)

= 856.301 inches

= 71 feet 4.3 inches (since 1 foot = 12 inches)

The smallest tick mark on

1" = 1' 0"

architect’s scale is 1/16 inch.

This means that there are 16 tick marks in an inch. A fractional ruler was used for scale measurements of a line on the 1/4" = 1'-0" scale. The two ends of the line correspond to 6 2.7/4" and 9 6/8". To get the length of the line in inches, we need to convert the two ends to inches, then subtract them to get the length as follows:

\(6 2.7/4" \\= 6 x 12 + 2.7\\ = 74.7"  (since 1 foot\\ = 12 inches)\\9 6/8" = 9 x 12 + 6 \\= 114" (since 1 foo\\t = 12 inches)\)

Length of the line = 114 - 74.7 = 39.3 inches (rounded off to one decimal place)

Multiplying 3/5 by

\(17/13\\ gives:\\3/5 x 17/13\\= (3 x 17)/(5 x 13)\\= 51/65\)

This is already in its lowest form.

Therefore, the answer is:51/65 (an improper fraction)

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The length of its diagonal in terms of r and​ s is √r² + s²

In order to get the length of the diagonal of a triangle, we will use the Pythagoras theorem:

Pythagoras theorem states that the sum of the square of the diagonal is equal to the sum of the square of the other two sides.

Given the following

Length = r feet

width = s feet

The diagonal "l" will be expressed as;

l² = r² + s²

Take the square root of both sides

√l² = √r² + s²

l = √r² + s²

Hence the length of its diagonal in terms of r and​ s is √r² + s²

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Answer:

90

Step-by-step explanation:

3/2(60) = 90

The requried number of eggs for 60 dozen cookies is given as 90 eggs.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
Let the number of cookies(dz) be y and the number of eggs be x,
y ∝ x,
y = kx
y/x = k
k = 3/2
k = 1.5

Now,
y = 1.5x
y = 60
60 = 1.5x
x = 90

Thus, the requried number of eggs for 60 dozen cookies is given as 90 eggs.

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13) The scientific notation is        1.4354125 * 10⁸. 14) The scientific notation is        1.4354125 * 10⁻¹. 15) The scientific notation is 22366.0992. 16) The scientific notation is 1.55 * 10¹⁰.

Let's solve the given expressions and write the answers in scientific notation:

13) \((6.125*10^3) * (2.345*10^4)\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^4) = 14.354125 * 10^(3 + 4) = 14.354125 * 10^7 = 1.4354125 * 10^8\)

\(= 1.4354125 * 10^8\)

14) \((6.1258*10^3) * (2.345*10^{-4})\)

To multiply the numbers in scientific notation, we multiply the coefficients and add the exponents:

\((6.125 * 2.345) * (10^3 * 10^{-4}) = 14.354125 * 10^{3 - 4} = 14.354125 * 10^{-1} = 1.43541258* 10^{-1}\)

\(= 1.4354125 * 10^{-1}\)

15) \(3700.13 * (6.04*10^4)\)

To multiply a decimal number and a number in scientific notation, we simply multiply the decimal by the coefficient of the scientific notation:

3700.13 × 6.04 = 22366.0992

Since the answer does not need to be expressed in scientific notation, the result is 22366.0992.

= 22366.0992

16) \((6.2*10^4) / (0.4*10^{-5})\)

To divide numbers in scientific notation, we divide the coefficients and subtract the exponents:

\((6.2 / 0.4) * (10^4 / 10^{-5}) \\= 15.5 * 10^{4 - (-5}) \\= 15.5 * 10^9 \\= 1.55 * 10^{10}\\= 1.55 * 10^{10}\)

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Answer:

\(\frac{16y^6}{x^2}\)

Step-by-step explanation:

\((\frac{4xy^3}{x^2})^2 = \frac{16x^2y^6}{x^2}\)

\(\frac{x^2}{x^2}\) cancels out leaving you with \(\frac{16y^6}{x^2}\)

Hope this helps!

Answer:

Step-by-step explanation:

haga la pregunta de nuevo, pero escríbala

Answer:

1. let x is the width

then

length = 2x

premiter = 2*( 2x+x) =  96

2. 3x = 24

3. let number is x

2/3 * x = 72

4. let two numbers are x, x+1

x + x +1 = 29

5.let number is x

then

4x+8 = 54

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

The statement "(dbl num, 2)" does not correctly represent rounding the value of "dbl num" to two decimal places. The correct notation for rounding a number to two decimal places is typically represented as "round(dbl num, 2)" or "dbl num rounded to 2 decimal places."

:)

As a result, the right triangle's hypotenuse measures about 43.3 units in length.

The Pythagorean theorem, which asserts that the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides, can be used to determine the length of the hypotenuse of a right triangle.

In this instance, we are aware of the right triangle's one angle's value of 55 degrees and the base's length of 27 units. The sine function, which links the ratio of the height to the hypotenuse to the sine of the angle, can be used in trigonometry to get the length of the other side (the height):

height/hypotenuse equals sin(55)

We can find the hypotenuse by rearranging this equation:

Height / sin is the hypotenuse (55)

When we enter this height expression into the first equation, we obtain:

(Base) / cos = hypotenuse (55)

By entering the specified values, we obtain:

Hypotenuse = 27/Cos(55), which is 43.3

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It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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Answer:

3^2

Step-by-step explanation: When the bases of two exponents are the same (in this case, they are both 3), and they are being multiplied, then their powers will be added together. -4 plus 6 is 2, so the new exponent will be 3^2.

Answer:

Step-by-step explanation:

parrelograpm (b*H)

40cm^2

Area of semi circle 1/2(pi)r^2

1/2(pi)(5)^2

39.26990

total?

40+39.26990=79.26990

Using these traces, we can sketch the surface as an ellipsoid in three dimensions centered at the origin, with semi-major axis of length 6 along the z-axis, semi-major axis of length 3 along the y-axis, and semi-major axis of length 2 along the x-axis.

To sketch the surface 9x^2 + 4y^2 + z^2 = 36 using traces, we can fix values of x, y, and z and plot the resulting curves. When we fix x = 0, we get 4y^2 + z^2 = 36, which is an ellipse in the yz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 3 along the y-axis.

When we fix y = 0, we get 9x^2 + z^2 = 36, which is also an ellipse in the xz-plane centered at the origin with semi-major axis of length 6 along the z-axis and semi-minor axis of length 2 along the x-axis. When we fix z = 0, we get 9x^2 + 4y^2 = 36, which is a horizontal ellipse in the xy-plane centered at the origin with semi-major axis of length 2 along the x-axis and semi-minor axis of length 3 along the y-axis.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 30000\\ P=\textit{original amount deposited}\dotfill & \$20000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years \end{cases} \\\\\\ 30000 = 20000[1+(0.09)(t)] \implies \cfrac{30000}{20000}=1+0.09t\implies \cfrac{3}{2}=1+0.09t \\\\\\ \cfrac{3}{2}-1=0.09t\implies \cfrac{1}{2}=0.09t\implies \cfrac{1}{2(0.09)}=t\implies 5.6\approx t\)

Answer: C, the table.

Step-by-step explanation:

       In a function, there can only be one output (y) per input (x), but you can have multiple inputs (x) per one output (y).

       Using this logic, we see that the answer is;

                 C

This is a 3rd degree polynomial, its important aspects are:

*It has 3 roots, which are:

*Its domain is: