The phrase “six less than twice y” can be represented by the algebraic expression.
2y – 6
2y + 6
6 2y

Answer:

24

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

240 / 60 = 4

The account's interest rate for deposit $1,198.00 into an account 7.00 years from today and worth $1,639.00 after 12 years from today, is equals to the 6.47%.

Future value (FV) is defined as the value of a current value at a future date based on an assumed rate of growth. Formula is written as FV = P× (1 + i)ⁿ

where, FV --> future value

P --> present value or principal

i --> interest rate

n --> number of periods (in years )

We have, present value = $1,198.00

future value, FV = $1,639.00

number of time periods, n = 12 years - 7 years = 5 years

We have to calculate the account's interest rate. Substutes the known values in above formula, we get,

$1,639.00 = $1,198.00( 1 + i)⁵

=> 1639/1198 = (1+i)⁵

=> 1.368124 = (1 + i) ⁵

=> (1.368124)⅕ = 1 + i

=> 1.064693 = 1 + i

=> i = 1.064693 - 1

=> i = 0.064693 ~ 6.47%

Hence, the required interest rate is 6.47%.

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Answer:

84,3 ° Sureste

Step-by-step explanation:

El diagrama vectorial que tipifica la pregunta se muestra en la imagen adjunta.

La dirección del avión es la dirección de la velocidad resultante.

Si esta dirección es θ

θ = tan ^ -1 (400/40)

θ = 84,3 ° Sureste

Answer:

0.86016949152

Step-by-step explanation:

This is the answer because 29 divided by 59 is 0.49152542372 and 42 divided by 24 is 1.75 and 0.49152542372 multiplied by 1.75 is 0.86016949152

Answer:

Step-by-step explanation:

Given lines

The lines are same as both have same slope and y-intercept.

Correct statement is following:

Answer:

C. They are lines that lie exactly on top of one another because they have the same slope and the same y-intercep

Step-by-step explanation:

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

The mean will be increased by 2, and the standard deviation will remain the same (option D).

The first step is to determine the initial mean and standard deviation of the data.

Mean is the average of a set of numbers.

Mean = sum of numbers / total number in the data

(2 + 3 +3 + 5 + 5 + 6) / 6

24 / 6 = 4

Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.

Standard deviation of the initial data = √[{(2 - 4)² + (3 -4)² + (3 - 4)² + (5 - 4)² + (5 - 4)² + (6 - 4)²} / 6] = 1.414

Now, determine the mean and the standard deviation of the new data

New data : (2 + 2 =4)

3 + 2 = 5

3 + 2 = 5

5 + 2 = 7

5 + 2 = 7

6 + 2 = 8

Mean = (4 + 5 + 5 + 7 + 7 + 8) / 6 = 6

Standard deviation = √[{(4 - 6)² + (5 - 6)²+ (5 - 6)² + (7 - 6)² + (7 - 6)² + (8 - 6)²} / 6] = 1.41

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Answer:

8x^2 - 15y^2 + xy

( ^ used for exponent)

Step-by-step explanation:

FOIL (4x+5) (2x-3y)  + 3xy

(8x^2 - 12xy + 10xy - 15y^2)  +3xy

Combine like terms

(8x^2 - 15y^2 - 2xy)  + 3xy

8x^2 - 15y^2 + xy

Answer:

WOAH CALM DOWN JAMAL

Step-by-step explanation:

Answer:

y < x-2 and y > x+1

Step-by-step explanation:

My forecast is that you will either enter the next market or, more likely, keep your existing position. These are the theories we have.

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Answer:

the surface area of the given cylinder is 66π square feet.

Step-by-step explanation:

Given:

Base radius (r) = 3 ft

Height (h) = 8 ft

To calculate the lateral surface area of the cylinder, we use the formula:

Lateral Surface Area = 2πrh

Lateral Surface Area = 2 * π * 3 ft * 8 ft

Lateral Surface Area = 48π ft²

The base of the cylinder is a circle, and its area can be calculated using the formula:

Base Area = πr²

Base Area = π * (3 ft)²

Base Area = 9π ft²

Since the cylinder has two bases, we multiply the base area by 2 to get the total area of the bases.

Total Base Area = 2 * 9π ft²

Total Base Area = 18π ft²

To find the total surface area of the cylinder, we add the lateral surface area and the total base area:

Total Surface Area = Lateral Surface Area + Total Base Area

Total Surface Area = 48π ft² + 18π ft²

Total Surface Area = 66π ft²

Answer: 66π ft squared

Step-by-step explanation:

to find the lateral surface area of the cylinder.
Since the equation for the lateral surface area of a cylinder is 2πrh.
When we input the given base radius of 3ft and the height of 8ft, we get the equation of LSA = 2π (3) (8) =  48π feet squared or about 150.796447372 feet squared.

to find the Total Surface Area of a cylinder with a base radius of 3ft and a height of 8ft, we would use the equation TSA = 2πrh + 2πr^2.
After plugging in our base radius and our height, we are left with the equation TSA = 2π (3) (8) + 2π(3)^2 which after solving, gives us the solution of  66π feet squared or about 207.345115137 feet squared.

Answer:

That is a quadratic equation in which

a = 1

b = 6

c = 3

The quadratic formula is:

x = [-b +- sqr root (b^2 -4*a*c)] / 2*a

x = [-6 +- sqr root (36 -4 * 1 * 3)] / 2

x1 = [-6 + sqr root (24)] / 2

x2 = [-6 - sqr root (24)] / 2

Step-by-step explanation:

To determine the convergence or divergence of a series, we need to analyze the behavior of its terms. In this case, the series consists of a sequence of numbers: 12, 34, 18, 316, 132, 364, and so on.

Looking at the terms of the series, we can observe that there is no clear pattern or trend in their values. The terms do not approach a specific value as we go further into the series. Instead, the terms seem to be randomly increasing and decreasing.

A convergent series is one where the terms approach a specific value as the number of terms increases, while a divergent series is one where the terms do not approach a specific value.

Since the terms in the given series do not exhibit any clear pattern or convergence, and there is no specific value that the terms are approaching, we can conclude that the series is divergent.

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In 100 million years, the seafloor spreading zone will create 10 million square kilometers of new surface area.


The seafloor spreading zone creates 1 centimeter of new crust over its entire 1000 kilometers length every year. To calculate the surface area created, we need to multiply the length of the zone by the amount of new crust created each year.

First, we convert the length from kilometers to centimeters: 1000 kilometers = 100,000,000 centimeters.
Then, we multiply the length by the amount of new crust created each year: 100,000,000 cm * 1 cm = 100,000,000 square centimeters.

Finally, we convert square centimeters to square kilometers: 100,000,000 cm^2 = 10,000 km^2. Therefore, in 100 million years, the seafloor spreading zone will create 10,000 square kilometers of new surface area.

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To begin, let's define some of the terms mentioned in the question. A random variable (RV) is a variable whose possible values are outcomes of a random phenomenon.

A non-negative RV is a random variable that can only take non-negative values (i.e. values greater than or equal to zero).

A variable is a quantity or factor that can vary in value.

Now, let's look at the problem at hand.

We are given that G is an uniform random variable on [-t,t]. This means that the probability distribution of G is uniform over the interval [-t,t].

We are also given that X is a non-negative RV that is independent of G. This means that the probability distribution of X is not affected by the values of G.

Finally, we are asked to show that for any t >= 0, it holds:

(smoothing Markov)

To prove this, we can use the definition of conditional probability.

P(X > x | G = g) = P(X > x, G = g) / P(G = g)

By independence, we know that P(X > x, G = g) = P(X > x) * P(G = g).

Since G is a uniform RV, we know that P(G = g) = 1 / (2t) for any g in [-t,t].

So, we can simplify the equation as:

P(X > x | G = g) = P(X > x) * (2t)

Now, we can use the law of total probability to find P(X > x), which is the probability that X is greater than x:

P(X > x) = ∫ P(X > x | G = g) * P(G = g) dg

where the integral is taken over the interval [-t,t].

Substituting in the equation we derived earlier, we get:

P(X > x) = ∫ P(X > x) * (2t) * 1/(2t) dg

Simplifying, we get:

P(X > x) = 2 * ∫ P(X > x) dg

Now, we can use the definition of expected value to find E(X):

E(X) = ∫ x * f(x) dx

where f(x) is the probability density function of X.

Using the same logic as before, we can find the probability that X is greater than or equal to t:

P(X >= t) = 2 * ∫ P(X >= t) dg

Substituting this into the original equation, we get:

(smoothing Markov)

Therefore, we have shown that for any non-negative RV X which is independent of G and for any t >= 0, it holds that:

(smoothing Markov)

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Proportion of bottles with volumes less than 1,015 ml, we can use the concept of standard deviation and the properties of the normal distribution.

In this case, we have a normally distributed population of bottle volumes with a mean of 1,007 ml and a standard deviation of 6 ml. We want to find the proportion of bottles that have volumes less than 1,015 ml.

The first step is to calculate the z-score, which measures how many standard deviations a value is from the mean. We can use the formula:

z = (x - μ) / σ

where x is the value we are interested in (1,015 ml), μ is the mean (1,007 ml), and σ is the standard deviation (6 ml).

Substituting the values into the formula, we get:

z = (1,015 - 1,007) / 6

Simplifying the equation:

z = 8 / 6

z ≈ 1.33

Next, we need to find the proportion of bottles with volumes less than 1,015 ml. We can use a standard normal distribution table or a calculator to find the corresponding cumulative probability for a z-score of 1.33.

Looking up the value in the table or using a calculator, we find that the cumulative probability for a z-score of 1.33 is approximately 0.9088.

This means that approximately 90.88% of the bottles have volumes less than 1,015 ml.

The correct answer is not 0.6293, but approximately 0.9088 or 90.88%.

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5 + -6m + mX,

If you like, I can explain a bit more!

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6\)

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(\boxed{\text{Solving for 'm'...}}\\\\y-5=m(x-6)\\------------\\\rightarrow m(x-6) = y-5\\\\\rightarrow \frac{m(x-6)=y-5}{(x-6)}; x\neq 6\\\\\rightarrow \boxed{m= \frac{y-5}{x-6}}; \text{ } x\neq 6\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The principal amount (P) using the continuous compound interest formula for  A= $7,600; r = 6.29%; t = 10 years is approximately $4,265.43.

To find the principal amount (P) using the continuous compound interest formula, we can use the following formula:

A = P\(e^{rt}\),

where:

A is the future amount or final balance,

P is the principal amount or initial balance,

e is the mathematical constant approximately equal to 2.71828,

r is the interest rate per period, and

t is the time in periods.

In this case, we have:

A = $7,600,

r = 6.29% (expressed as a decimal, 0.0629), and

t = 10 years.

We can rearrange the formula to solve for P:

P = A / \(e^{rt}\)

Substituting the given values:

P = $7,600 / \(e^{(0.0629 * 10)}\).

Using a calculator, we find:

P ≈ $4,265.43 (rounded to two decimal places).

Therefore, the principal amount (P) is approximately $4,265.43.

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Answer:

Your Perimiter is 42

Step-by-step explanation:

Distance from 7,5 to -7,5 is 14

Distance from -7,5 to -7,-2 is 7

Then we double both those numbers as it is a rectangle

2l + 2w = Per...

28 + 14 = 42

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Answer:

5√2

btw there is line on top of 2

Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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Answer:

yes 1/6 is a rational number.

The exact value of the slope of the secant line connecting (-4, f(-4)) and (1, f(1)) is m = -3, and the value of c in (-4, 1) according to the Mean Value Theorem is c = -3/2.

The function is f(x) =\(x^2\) - 52 - 3, so:
f(-4) = \((-4)^2\) - 52 - 3 = 16 - 52 - 3 = -39
f(1) = \((1)^2\) - 52 - 3 = 1 - 52 - 3 = -54

The points are (-4, -39) and (1, -54). To find the slope m, use the formula:
m = (f(1) - f(-4))/(1 - (-4)) = (-54 - (-39))/(1 - (-4)) = (-15)/(5) = -3

Now, let's use the Mean Value Theorem to find all values of c in (-4, 1) so that m = f'(c). First, we need to find the derivative of f(x):
f'(x) = 2x

According to the Mean Value Theorem, m = f'(c), so:
-3 = 2c

Now solve for c:
c = -3/2

Since -3/2 is in the interval (-4, 1), there is one value of c, which is:
c = -3/2

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Answer:

60m/s is correct so I hope that helps

Answer:

x, y) → (1.5x, 1.5y)

Step-by-step explanation:

The given series can be written as:

sum = sin(2π) = 0

The sum of the infinite series is 0.

To find the sum of the infinite series 1 - (2π/2!)^2/1 + (2π/4!)^2/1 - (2π/6!)^2/1 + ⋯ + (2π)^(2n)/(2n+1)!*(-1)^n + ⋯, we can use the concept of the Taylor series expansion of a function.

The given series resembles the expansion of the sine function, sin(x), where x = 2π. The Taylor series expansion of sin(x) is:

sin(x) = x - x^3/3! + x^5/5! - x^7/7! + ⋯ + (-1)^n * x^(2n+1)/(2n+1)! + ⋯

Comparing the given series with the expansion of sin(x), we can see that the terms are similar, except for the factor of (-1)^n.

Therefore, the given series can be written as:

sum = sin(2π) = 0

The sum of the infinite series is 0.

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Answer:

X=-4

Step-by-step explanation:

5x-10x=22-2

-5x=20

x=-4

Answer:

C

Step-by-step explanation:

If you look at the constant terms for each of them, ABD is 18, and only C is 14