AAAAAAAH GUYS GUYS GUYS GUYS MY POP IT BROOOOKE TOT WHAT DO I DO!!???!?!?!?!??!?

Answer:

715.1153

Step-by-step explanation:

write

seven hundred fifteen = 715

and

one thousand one hundred fifty- three = 1,153

ten-thousandths  = 1/10,000 = 0.000 1

 together = 0.1153

as a decimal number

So when added together

the number is

715.115 3

Answer:

715.1153

Step-by-step explanation:

The Logarithmic function is a mathematical operation that is used to determine the logarithm of a number.

The logarithm of a number x is the exponent to which a fixed number, the base, must be raised to produce x. The most common bases used are 10 and e. The formula for determining the logarithm of a number x base d is: log base d of x = (log base d of x)/(log base d of b).

For example, if we want to calculate the log base 10 of a number x, we would use the formula: log base 10 of x = (log base 10 of x)/(log base 10 of b). We can calculate the log base 10 of a number x by taking the logarithm of x and dividing it by the logarithm of the base, 10. The result will be the log base 10 of x.

For example, if we want to calculate the log base 10 of 25, we would calculate the logarithm of 25 and divide it by the logarithm of 10. The calculation would be: log base 10 of 25 = (log base 10 of 25)/(log base 10 of 10) = (1.3979)/(1) = 1.3979. This means that the log base 10 of 25 is 1.3979.

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\(2(6k^{2} +k+4)\)

By applying The Power Rule for Derivatives, it concluded that the value of dQ/dx is 4250\(x^{\frac{3}{2} }\)

The Power Rule for Derivatives is a method of differentiation that is used when a mathematical expression with an exponent needs to be differentiated. The rule is:

d(xⁿ) / dx = n(x)ⁿ⁻¹

It is given that the monthly output of a certain product is defined by the function:

Q(x) = 1700\(x^{\frac{5}{2} }\)

where x denotes the capital investment in millions of dollars.

Now we want to determine the derivative of the giving function:

d(xⁿ) / dx = n(x)ⁿ⁻¹

dQ / dx   = d (1700\(x^{\frac{5}{2} }\))

              = \(\frac{5}{2} (1700x)^{\frac{5}{2}-1 }\)

              = 4250\(x^{\frac{3}{2} }\)

Thus, the value of dQ/dx is 4250\(x^{\frac{3}{2} }\)

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It will take 27 minutes for all the kids to have gone home

The given parameters are:

9 kids every 3 minutes

This can be represented as

9 kids = 3 minutes

Let the time spent by 81 kids be x

So, we have the following equation

81 kids = x

Rewrite the parameters as

9 kids = 3 minutes

81 kids = x

Cross multiply in the above equation

So, we have:

9 * x = 3* 81

Divide both sides by 9

x = 3 * 9

Evaluate

x = 27

Hence, it will take 27 minutes for all the kids to have gone home

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Answer:

99/34 i believe

Step-by-step explanation:

a)   The velocity of the object at t = 10.0 s is 645.9 m/s.

b)    The object is at rest at t = -0.87 s and t = 0.62 s.

c)    The acceleration of the object at t = 0.50 s is 7.20 m/s^2.

A. To find the velocity of the object at t = 10.0 s, we need to take the derivative of the position function with respect to time:

v(t) = 3At^2 + 2Bt + C

Plugging in the given constants, we get:

v(10.0) = 3(2.10)(10.0)^2 + 2(1.00)(10.0) - 4.10

v(10.0) = 630.0 + 20.0 - 4.10

v(10.0) = 645.9 m/s

Therefore, the velocity of the object at t = 10.0 s is 645.9 m/s.

B. The object is at rest when its velocity is zero. So, we need to find the value(s) of t that make v(t) = 0. Using the same velocity function from part (A), we can set it equal to zero and solve for t:

3At^2 + 2Bt + C = 0

Plugging in the given constants, we get a quadratic equation:

6.30t^2 + 2.00t - 4.10 = 0

Using the quadratic formula, we can solve for t:

t = (-2.00 ± sqrt(2.00^2 - 4(6.30)(-4.10))) / (2(6.30))

t = (-2.00 ± sqrt(104.80)) / 12.60

t = (-2.00 ± 10.24) / 12.60

t = -0.87 s or 0.62 s

Therefore, the object is at rest at t = -0.87 s and t = 0.62 s.

C. To find the acceleration of the object at t = 0.50 s, we need to take the derivative of the velocity function with respect to time:

a(t) = 6At + 2B

Plugging in the given constants, we get:

a(0.50) = 6(2.10)(0.50) + 2(1.00)

a(0.50) = 7.20 m/s^2

Therefore, the acceleration of the object at t = 0.50 s is 7.20 m/s^2.

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The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

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The probability that at least one of the calculators is defective is approximately 0.522.

First, we need to find the probability that none of the calculators are defective.

The probability that the first calculator selected is not defective is 39/52. The probability that the second calculator selected is also not defective is 38/51. The probability that the third calculator selected is not defective is 37/50. And finally, the probability that the fourth calculator selected is also not defective is 36/49.

So, the probability that all four calculators are not defective is:

(39/52) * (38/51) * (37/50) * (36/49) ≈ 0.478

Therefore, the probability that at least one of the calculators is defective is:

1 - 0.478 ≈ 0.522

So, the probability that at least one of the calculators is defective is approximately 0.522.

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To find the probability of exceeding 720, we subtract this value from 1:

Probability = 1 - 0.0668 = 0.9332.

What is Z-score?

The Z-score, also known as the standard score, is a measure of how many standard deviations an individual data point is from the mean of a distribution. It is calculated by subtracting the mean from the data point and dividing the result by the standard deviation. The Z-score allows for the comparison of data points from different distributions and helps determine the relative position of a data point within a distribution.

To solve this problem, we'll use the properties of the mean and standard deviation of a random variable. Let's go through each part step by step:

a. Expected total amount of tips:

The expected value of a random variable is equal to the mean. Since each tip is given independently, the expected total amount of tips is simply the product of the mean and the number of tips:

Expected total amount = Mean * Number of tips = 7.5 * 100 = 750 dollars.

b. Standard deviation for the total amount of tips:

When the random variables are independent, the standard deviation of their sum is the square root of the sum of their variances. Since each tip has a standard deviation of 2 dollars, the standard deviation for the total amount of tips is:

Standard deviation = Square root of (Variance * Number of tips)

Variance = Standard deviation squared = 2^2 = 4

Standard deviation = Square root of (4 * 100) = Square root of 400 = 20 dollars.

c. Probability that the total amount of tips exceeds 720 dollars:

To find this probability, we need to standardize the total amount using the mean and standard deviation, and then find the area under the standard normal distribution curve. Let's calculate the z-score first:

Z = (X - Mean) / Standard deviation

Z = (720 - 750) / 20 = -30 / 20 = -1.5

Using a standard normal distribution table or a calculator, we can find the area to the left of -1.5 (since we want the probability of exceeding 720). This area is approximately 0.0668.

To find the probability of exceeding 720, we subtract this value from 1:

Probability = 1 - 0.0668 = 0.9332.

d. The approximate probability that the total amount of tips exceeds 720 dollars is 0.933.

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The instantaneous rate of change of a function let it be f(x) is given by it's first Derivative i.e f'(x) and at a particular point like x = a , it's given by f'(a) . But let's recall a basic formula first :

So , now here ;

\({:\implies \quad \sf f(x)=-4x^{2}+2x}\)

Differentiating both sides w.r.t.x ;

\({:\implies \quad \sf f^{\prime}(x)=-4\dfrac{d}{dx}(x^2)+2\dfrac{dx}{dx}}\)

\({:\implies \quad \sf f^{\prime}(x)=-4\cdot 2 \cdot x+2}\)

\({:\implies \quad \sf f^{\prime}(x)=-8x+2}\)

Now , at x = 3 ;

\({:\implies \quad \sf f^{\prime}(3)=-8(3)+2}\)

\({:\implies \quad \sf f^{\prime}(3)=-24+2}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(3)=-22}}}\)

Hence , the required answer is -22

The triangles are not similar. Option E

Similar triangles are those triangles that may not be of the same size but a related in the sense of the proportionality in the following ways;

Looking at the two triangles as shown, we can see that they are not related in any of the ways by which we define proportionality of two triangles as such, the triangles are not similar. Option E

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Answer:

-1=(5+x)/6

mulitply both sides by 6

-6=5+x

subtract both sides by 5

-11=x

Answer:

The answer to this question is x= 51/4

The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:

2) Divide 25 by 462.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.

The total number of people is given as follows:

58 + 164 + 215 + 25 = 462.

Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:

25/462.

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Answer:

65

Step-by-step explanation:

A trapezoid means that the lines are parallel, meaning that angle K + angle J = 180. So angle J = 180 = 115 = 65

The radius of convergence is the distance from the center of a power series to the nearest point where the series converges, determined using the Ratio Test. The interval of convergence is the range of values for which the series converges, including any endpoints where it converges.

The radius of convergence of a power series is the distance from its center to the nearest point where the series converges.

To determine the radius of convergence, we can use the Ratio Test.

Step 1: Apply the Ratio Test by taking the limit as n approaches infinity of the absolute value of the ratio of consecutive terms.

Step 2: Simplify the expression and evaluate the limit.

Step 3: If the limit is less than 1, the series converges absolutely, and the radius of convergence is the reciprocal of the limit. If the limit is greater than 1, the series diverges. If the limit is equal to 1, further tests are required to determine convergence or divergence.

The interval of convergence can be found by testing the convergence of the series at the endpoints of the interval obtained from the Ratio Test. If the series converges at one or both endpoints, the interval of convergence includes those endpoints. If the series diverges at one or both endpoints, the interval of convergence does not include those endpoints.

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a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

\(a^2+2ab+b^2\)

Step-by-step explanation:

If we have \((a+b)^2\) we can calculate this as:

\((a+b)*(a+b)\)

So, applying distribution property, we get:

\((a+b)*(a+b)=a*a+a*b+b*a+b*b\)

Where:

\(a*a=a^{2}\)

 \(b*b=b^2\)

\(a*b=b*a=ab\)

so:

\((a+b)*(a+b)=a^2-ab+ab+b^2\\(a+b)*(a+b)=a^2+2ab+b^2\)

Answer:

              y + 3= 3(x - 6)        ←    point-slope form

             y = 3x - 21           ←    slope-intercept form

             3x - y = 21         ←    standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 3x + 1   ⇒    m₁ = 3    ⇒    m₂ = 3

(6, -3)    ⇒    x₁ = 6,  y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18              {subtact 3 from both sides}

y = 3x - 21        ←    slope-intercept form

-3x + y = -21                 {multiply both sides by (-1)}

3x - y = 21         ←    standard form

(a) The center of the sphere is in the first octant and is tangent to the xz-plane and to the yz-plane. This means that the center of the sphere is at a point of the form (a,b,5) where a,b≥0. The distance from the origin to the center of the sphere is  \(\sqrt{43}\), so we have \(x^{2} +x^{2} +(5-0)^{2} =43\) This gives us \(a^{2} +b^{2} =38\)

The radius of the sphere is the distance from the center of the sphere to the point where the sphere touches the xz-plane. This distance is equal to the length of the hypotenuse of a right triangle with legs of length a and b. Therefore, the radius of the sphere is \(\sqrt{a^{2}+ b^{2} } =\sqrt{38}\)

The equation of the sphere is \((x-a)^{2}+ (y-b)^{2}+ (z-5)^{2} =38\)

(b) The point where the sphere touches the xz-plane is (a,0,5). The distance between the origin and this point is \(\sqrt{a} ^{2}+\sqrt(5-0)^{2} =\sqrt{a^{2} +25}\)

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Answer:

A) 5  3/10

B) 785 3/20

Step-by-step explanation:

Hope this helps <3

you find a common denominator and then simplify all fractions to that common denominator. then, you add them up!

2 1/5 + 3 1/10

5 can fit into 10 twice so it becomes...

2 2/10 + 3 1/10 which equals

5 3/10

472 2/5 + 312 3/4

5 times 4 is 20

472 8/20 + 312 15/20

there is a remainder of 3 for the fractions so you put it over 20.

785 3/20

\(4 - 2(x - 3) = 24 \\ \)

\(⇒4 - 2x + 6 = 24 \)

\(⇒ - 2x = 24 - 6 - 4\)

\(⇒ - 2x = 14\)

\(⇒x = \frac{14}{ - 2} \)

\(⇒x = - 7\)

Hence, Answer is -7.

Answer:

- 7

Step-by-step explanation:

Step 1:

4 - 2 ( x - 3 ) = 24      Equation

Step 2:

4 - 2x + 6 = 24           Multiply

Step 3:

- 2x + 10 = 24       Combine Like Terms

Step 4:

- 2x = 14           Subtract 10 on both sides

Step 5:

x = 14 ÷ - 2       Divide

Answer:

x = - 7

Hope This Helps :)

Answer:

Giant Candy Bar: 2$

Small Bags of Jawbreakers: .50$

Step-by-step explanation:

First you make out the equations, with the variables of c for giant candy bars and j for the small bags of jaw breakers.

First equation we make is 6c+2j=13

The second equation is 4c+6j=11.

You can then make one of the equations a negative and equal to the other. What I mean is we can use the elimination method. So I choose to do -18c+-6j=-39 (Multiplied by -3) so we can eliminate the 2 6js and get 4c=11 and -18c=-39. You then add the remaining equations together to get -14c=-28, so     c=2. Using that we can then chose an equation to substitute c with. Ill choose the first one, so you get 6(2)+2j=13. 12+2j=13; 2j=1. By simplifying, you get the jawbreakers as .50 dollars.

Step 1. When two variables are related, for example, x and y, there will be a constant of proportionality between the x-values and the y-values, this constant of proportionality ''k'' is represented in the general formula for proportionality:

Step 2. In this case, we are relating two variables: f and s, through the following equation:

If we compare this with the equation from step 1, we can see that 1/7 represents the constant of proportionality:

Answer: The constant of proportionality is 1/7

Answer:

x=136 degrees

Step-by-step explanation:

A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.

I hope this solution was helpful. Happy mathing!

There are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

There are 12 different outfits that can be put together using 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

How to solve the problem:

To find out the number of different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes, we will simply multiply the number of options for each category together.

Number of options for pants = 3

Number of options for shirts = 2

Number of options for shoes = 2

Number of different outfits that can be put together

= 3 × 2 × 2

= 12

Therefore, there are 12 different outfits that can be put together using the given 3 different pairs of pants, 2 shirts, and 2 pairs of shoes.

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Answer: The amount deducted for Social Security and Medicare for Cleveland Woods for the month of August would be $1,585.30 ($126,000 x 0.01239).

Step-by-step explanation: