For the function f(x) = -log(x) + 4, as x →∞, y→ _____.A.0B.None of TheseC.-∞D.∞E.4

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

a. The  slope of the curve at the point (4,16)   is approximately 1.165, and at the point (16,4)  is approximately -0.496.

b. The   curve has a horizontal tangent line at the points(0,0) and (3,27).

c. The   curve has a vertical tangent lineat the points (0,0) and (65/2, (65/2)³).

a. To find the   slope of the curve given by the equation x³ + y³ - 65xy = 0 at the points (4,16) and (16,4),we can differentiate the equation implicitly with respect to x and solve for dy/dx.

Differentiating the equation with respect to x, we have  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the slope at a specific point, substitute the x and y coordinates into the equation and solve for dy/dx.

For the point (4,16)  -

3(4)² + 3(16)²(dy/dx) - 65(16) - 65(4)(dy/dx) = 0

48 + 768(dy/dx) - 1040 - 260(dy/dx) = 0

508(dy/dx) = 592

(dy/dx) = 592/508

(dy/dx) ≈ 1.165

For the point (16,4)  -

3(16)² + 3(4)²(dy/dx) - 65(4) - 65(16)(dy/dx) = 0

768 + 48(dy/dx) - 260 - 1040(dy/dx) = 0

(-992)(dy/dx) = 492

(dy/dx) = 492/(-992)

(dy/dx) ≈ -0.496

Thus, the slope of the   curve at the point (4,16) isapproximately 1.165, and at the point (16,4) is approximately -0.496.

b. To find the point where the curve has   a horizontal tangent line, we need to find the x-coordinate(s)where dy/dx equals zero.

This means   the slope is zero and the tangent line is horizontal.

From the derivative we obtained earlier  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

Setting dy/dx equal to zero  -

3x² - 65y = 0

Substituting y = x³/65 into the equation  -

3x² - 65(x³/65) = 0

3x² - x³ = 0

Factoring out an x²  -

x²(3 - x) = 0

This equation has two solutions  -  x = 0 and x = 3.

hence, the curve has a horizontal   tangent line at the points(0,0) and (3,27).

c. To find the point where the curve has a vertical tangent line, we need to find the x-coordinate(s)   where the derivative is undefinedor approaches infinity.

From the derivative  -

3x² + 3y²(dy/dx) - 65y - 65x(dy/dx) = 0

To find the vertical tangent line, dy/dx should be undefined or infinite. This occurs when the denominator of dy/dx is zero.

Setting the denominator equal to zero:  -

65x = 65y

x = y

Substituting this condition back into the original equation  -

x³ + x³ - 65x² = 0

2x³ - 65x² = 0

x²(2x - 65) = 0

This equation has two solutions  - x = 0 and x = 65/2.

Therefore, the curve has a vertical tangent line   at the points (0,0)

and(65/2, (65/2)³).

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0.3221469052

I hope its right

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)

Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.

Uniform acceleration towards the positive direction:

In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.

Uniform acceleration towards the negative direction:

Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.

The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.

Uniform deceleration towards the positive direction:

In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.

The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.

Uniform deceleration towards the negative direction:

Here, the object's velocity decreases in the negative direction, opposing its initial direction.

The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.

In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.

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Answer: 3/8

Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.

For the value the functions F(x)=G(x) is here no solution.

In mathematics, function is an expression that defines a relationship between one independent variable and another dependent variable.

Given that F(x)= abs(3x+2)-6 =| 3x+2|-6

                 G(x)= 3x-5

for F(x)=G(x)

  |3x+2|-6=3x-5

  3x+2-6=3x-5

    3x-4=3x-5

Hence no solution.

The graph is given below.

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For the value the functions F(x)=G(x) is here no solution.

In mathematics, function is an expression that defines a relationship between one independent variable and another dependent variable.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

This means that a function f will map an object x to exactly one other object f if the object x is present in the set of inputs (referred to as the domain) (x) among the range of potential outcomes (called the codomain).

Given that F(x)= abs(3x+2)-6 =| 3x+2|-6

                G(x)= 3x-5

for F(x)=G(x)

 |3x+2|-6=3x-5

 3x+2-6=3x-5

   3x-4=3x-5

Hence no solution.

The graph is given below.

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Answer:

Order of Operations.

Step-by-step explanation:

If we include -7 in the parenthesis, the exponent acts the negative as well. Therefore:

(-7)²= 49.

However, when squaring without the parenthesis, it will give us a negative number because:

The order of operations, or PEMDAS, states that exponents come before multiplication. Therefore, when doing '-7²', you would first need to square the '7', giving us:

-7² = -49

However, within parenthesis, everything inside will be squared.

The bearing from the phone to the transmitter is approximately 31 degrees to the east of the north direction.

To determine the bearing from the phone to the transmitter, we can use trigonometry.

The bearing is typically measured clockwise from the north direction.

Given that the transmitter is 13 km west and 21 km south of the phone, we can form a right triangle with the phone as the vertex angle.

The side opposite to the vertex angle represents the north-south direction, and the side adjacent to the vertex angle represents the east-west direction.

Using the tangent function, we can calculate the angle:

tangent(angle) = (opposite side) / (adjacent side)

tangent(angle) = 21 km / 13 km

Taking the inverse tangent (arctan) of both sides, we find:

angle = arctan(21 km / 13 km)

Evaluating this using a calculator, we find the angle to be approximately 58.57 degrees.

However, since the bearing is measured clockwise from the north, we need to subtract this angle from 90 degrees (which represents the north direction) to obtain the bearing:

bearing = 90 degrees - 58.57 degrees

Calculating this, we find the bearing to be approximately 31.43 degrees.

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We can be 90% confident that the interval [76.4, 79.3] contains the true mean monthly percentage of on-time departures. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.

To find the 90% confidence interval, we first need to calculate the margin of error. To calculate this, we need to use the standard error, which is calculated by dividing the standard deviation by the square root of the sample size. The standard deviation for the given data is 2.2 and the sample size is 72 (6 years × 12 months). So, the standard error is calculated as 2.2/√72 = 0.44. The margin of error is then calculated by multiplying the standard error by the critical value for 90% confidence, which is 1.645. The margin of error is therefore 0.44 × 1.645 = 0.72. The confidence interval is then calculated by adding and subtracting the margin of error from the sample mean. The sample mean is 77.8, so the 90% confidence interval is 77.8 ± 0.72, or [76.4, 79.3]. This means that we are highly confident that the true mean monthly percentage of on-time departures lies within this interval.

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Answer:

All you do is subtract 5 from 7 which is to.-.

Step-by-step explanation:

Hope that helps:)

The solution is Option B.

The value of the equation is x = 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

x + 5 = 7   be equation (1)

On simplifying the equation , we get

Subtracting 5 on both sides of the equation , we get

x = 7 - 5

x = 2

Therefore , the value of x is 2

Hence , the equation is x = 2

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The transformation given to the parent function f(x)=sin(x) given the graph of the equation g(x)=sin(3x)-4 will be C. The graph is horizontally compressed by a factor of 1/3 and shifts up 4 units.

The parent function f(x) = sin(x) has been transformed by replacing x with 3x in the argument of the sine function.

This results in a horizontal compression of the graph by a factor of 1/3. In addition, the graph of g(x) = sin(3x) is shifted upward 4 units, as indicated by the subtraction of 4 from the value of the sine function.

The correct option is C.

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Answer:

BM: y = (2/3) x + 16/3 with segment length of 2.77

Step-by-step explanation:

AC formula: m = (6-0)/(0-4) = -3/2

(y-0)/(x-4) = -3/2       y = (-3/2)x + 6   ... (1)

BM slope: BM⊥ AC   m = 2/3

BM formula: (y-4) / (x- -2) = (y-4) / (x+2) = 2/3

y-4 = 2/3 x + 4/3

y = (2/3) x + 16/3   ... (2)    -2≤x≤0.31

intercept of AC and BM (M) from (1) and (2): (-3/2)x + 6 = (2/3) x + 16/3

(13/6) x = 2/3      x = (2/3) / (13/6) = 4/13 ≈ 0.31

y = (2/3) (4/13) + (16/3) = (8/39) + (208/39) = 216/39 = 72/13 ≈ 5.54

M (4/13 , 72/13) or (0.31 , 5.54)

segment BM = √(4/13 - -2)² + (72/13 - 4)² = √1300/169 = 2.77

Answer:

\(x < -3\text{ or }x > 3\)

Step-by-step explanation:

\(|1-2x|-4 > 1\\|1-2x| > 5\\\\1-2x > 5\\-2x > 6\\x < -3\\\\1-2x < -5\\-2x < -6\\x > 3\)

Answer: its the Laurel girl :)

Step-by-step explanation: I got it right.

Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We have a statement:

Who is most likely to get a good credit card rate based on their credit-to-debt ratio?

As we know,

Credit-to-debt ratio = Credit card balance ÷ Credit limit

A. Darius has a credit limit of $6,000 and a balance of $1,200.

Credit-to-debt ratio = 1200/6000 = 0.2 or 20%

B. Laurel has a credit limit of $5,000 and a balance of $500.

Credit-to-debt ratio = 500/5000 = 0.1 or 10%

C. Lenore has a credit limit of $10,000 and a balance of $3,500.

Credit-to-debt ratio = 3500/10000 = 0.5 or 35%

D. August has a credit limit of $2,000 and a balance of $300.

Credit-to-debt ratio =  0.15 or 15%

As we can see Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate.

Thus, Laurel has a less credit-to-debt ratio compared to others so Laurel is most likely to get a good credit card rate option (B) is correct.

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Answer:

p=6 Q=5 R=6

Step-by-step explanation:

Answer:

Answer:

p=6 Q=5 R=6

Step-by-step explanation:

Step-by-step explanation:                                  

Answer:

Inductive conclusion has been proved to be correct.

Step-by-step explanation:

From the question, we have seen that 3 + 5 = 8

3 and 5 are odd numbers while 8 is an even number.

Which means that the sum of both odd numbers gave and even number.

In the second case, we see that;

13 + 5 = 18

Again,13 and 5 are both odd numbers while 18 is an even number.

Now, Inductive Reasoning is a reasoning that is based on patterns one has observed which would be used to derive a general conclusion. In this question, the pattern observed is that the sum of odd numbers in both cases are equal to an even number.

Thus, we will arrive at a conjecture which is the general conclusion that the sum of 2 odd number is equal to an even number.

Because cultural anthropologists are studying culture as it is and not as it would like it to be, anthropologists are concerned with actual behavior as opposed to ideal behavior.

A given group's social behavior, customs, achievements, and values are collectively referred to as its culture. It is the only thing that unites everyone in a society, regardless of country, social class, ethnicity, or religion. These things can be both material and immaterial, such as the importance of family or the customary dishes of a culture.

Anthropologists are unable to gather data with accuracy when people idealize their actions in front of them. Their entire study may be in jeopardy if they use false data.

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Answer:

-9x^2 - 16

Step-by-step explanation:

h(g(x)) = 3(-3x^2-5) - 1

= (-9x^2-15) - 1

Answer:

$450.

Step-by-step explanation:

62% = 0.62.

Let yesterday's price be $x, then.

0.62x = 279

x = 279 / 0.62

= $450.

Step-by-step explanation:

3500 × 10/100

rs. 350 is the discount

and to find the amnt the customer should pay subtract 350 from 3500

which is,

3150 Rupees

The probability that in a given race, her finishing time will be between 75 and 78 seconds, using the normal distribution, is of:

0.4772 = 47.72%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the finishing times are given as follows:

\(\mu = 75, \sigma = 1.5\)

The probability that in a given race, her finishing time will be between 75 and 78 seconds, is the p-value of Z when X = 78 subtracted by the p-value of Z when X = 75, hence:

X = 78:

Z = (78 - 75)/1.5

Z = 2

Z = 2 has a p-value of 0.9772.

X = 75:

Z = (75 - 75)/1.5

Z = 0

Z = 0 has a p-value of 0.5.

0.9772 - 0.5 = 0.4772 = 47.72%.

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The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:$31,500

Step-by-step explanation:

To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.

The formula to calculate simple interest is:

Interest = (Loan Amount) x (Interest Rate) x (Loan Length)

Let's plug in the values given:

Loan Amount = $25,000

Interest Rate = 6.5% (or 0.065 as a decimal)

Loan Length = 4 years

Interest = $25,000 x 0.065 x 4 = $6,500

Now, let's calculate the total amount Mario will pay:

Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500

Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.

Answer: 600000

Step-by-step explanation: just multiply it man

Answer:

least to greatest: -5 and 1

Step-by-step explanation:

they represent the zeroes of the function and are sorted from least to greatest

Answer:

-16

Step-by-step explanation:

3^2-7(3)-4