A function is defined by f(x)= x/4. What is f(-8)?
- 2
- -1/2
- 1/2
- 2

Answer:

29.9 is the answer for that question

Answer:

the original number would have been 29.9

Step-by-step explanation:

13.9+16=29.9

The solution to the coupled differential equations dx/dt= 2.x1 +x2 is x1 = t^2 + 2t and x2 = t^2, We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

To solve this set of differential equations, we can use the method of separation of variables. This method involves separating the variables in each equation so that they can be solved independently. In this case, we can separate the variables as follows: dx/(2.x1 +x2) = dt

We can then integrate both sides of the equation to get the following: ln(2.x1 +x2) = t + c

where c is an arbitrary constant. We can then exponentiate both sides of the equation to get the following 2.x1 +x2 = e^t.e^c

We can then substitute the initial conditions into this equation to get the following 2.x1 +x2 = e^t.1

where x1(0) = 0 and x2(0) = 0. This gives us the following solution for x1 and x2 x1 = t^2 + 2t and x2 = t^2

Here are some additional explanations:

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Answer:

Discriminant = 120

Number of x intercepts = 2

=========================================================

Explanation:

The equation is of the form ax^2+bx+c with:

a = -7

b = 8

c = 2

The discriminant is

d = b^2 - 4ac

d = 8^2 - 4(-7)(2)

d = 64 + 56

d = 120

The discriminant is positive, meaning there are 2 different x intercepts.

If d = 0, then we'd have only one x intercept.

If d < 0, then there wouldn't be any x intercepts.

Answer:

Step-by-step explanation:

26829 times 890

is 23877810

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

Answer:

B. 16/25

Step-by-step explanation:

6

10

+

4

100

=  

6 × 10

10 × 10

+

4

100

=  

60

100

+

4

100

=  

60 + 4

100

=  

64

100

=  

64 ÷ 4

100 ÷ 4

=  

16

25

Answer:

\(\huge\boxed{\sf \frac{16}{25} }\)

Step-by-step explanation:

\(\displaystyle \frac{6}{10} +\frac{4}{100}\)

To equalize the denominator, we will have to multiply the fraction 6/10 by 10.

\(\displaystyle =\frac{6 \times 10}{10 \times 10} +\frac{4}{100} \\\\\ =\frac{60}{100} +\frac{4}{100}\)

Now, that the denominator is equal, we can add both the fractions.

\(\displaystyle= \frac{60+4}{100} \\\\=\frac{64}{100}\)

Divide both numerator and denominator by 2.

\(\displaystyle = \frac{64 \div 2}{100 \div 2} \\\\= \frac{32}{50}\)

Divide again.

\(\displaystyle= \frac{32 \div 2}{50 \div 2} \\\\= \frac{16}{25} \\\\\rule[225]{225}{2}\)

Answer:

\(y=45+60x\)

Step-by-step explanation:

Step one:

given data

The  charge is $45 to install the cable box and $60 for each month of service

Required

The linear expression for the situation.

Step two:

let the number of months be x and let the total charges be y

Hence the expression for the total charges is

\(y=45+60x\)

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

64 * 8 = 256

The summary of the ruler placement postulate is: A direct relationship exists between the set of points on the line and the collection of real numbers, where each point is matched to a single real number and   The magnitude of the gap between two points is equal to the absolute value of the subtraction of the two associated values.

The ruler placement postulate states that if two points are given, it is possible to measure the distance between them by taking the point of reference as zero. This means that any point can be chosen as an origin, and the distance between the two points can be calculated by measuring the number of units between them. This postulate also applies to curves, and the distance between two points on a curve can be measured by taking a point of reference as zero and measuring the number of units between them. This postulate is essential in the measurement of distances between points and curves in geometry.

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Therefore, the 97.5th percentile of a normal distribution with mean 0 and standard deviation 1 is 1.96.

The 97.5th percentile represents the value below which 97.5% of the data falls. In a normal distribution with mean 0 and standard deviation 1, the 97.5th percentile corresponds to a z-score of 1.96.

A z-score represents the number of standard deviations a data point is from the mean. In this case, a z-score of 1.96 means that the value corresponding to the 97.5th percentile is 1.96 standard deviations above the mean.

Using a standard normal distribution table or calculator, we can find that the area under the curve to the left of a z-score of 1.96 is 0.975. This means that 97.5% of the data falls below a z-score of 1.96.

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To find the gradient of the function \(F(x, y) = 3x + 5y^2 + 3\) at the point (4, 1), we need to calculate the partial derivatives with respect to x and y.

The gradient of a function is a vector that points in the direction of the steepest increase of the function at a given point. It is represented as a vector with its components being the partial derivatives of the function.

First, let's find the partial derivative with respect to x (denoted as ∂F/∂x):

∂F/∂x = 3

Next, let's find the partial derivative with respect to y (denoted as ∂F/∂y):

∂F/∂y = 10y

At the point (4, 1), we can substitute the values into the partial derivatives:

∂F/∂x = 3

∂F/∂y = 10(1) = 10

Therefore, the gradient of the function F(x, y) at the point (4, 1) is represented by the vector (3, 10).

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Answer:

15

Step-by-step explanation:

-6y-5

Substitute 1/2 for y.

-6y-5

-6(1/2)-5

-3(-5)

15

Answer:

42 meters

Step-by-step explanation:

The length of the factory floor will be 42 meters. This is found by multiplying the length of 0.3 meters by the scale factor of 140, which yields 42 meters.

Answer:

42 meters

Step-by-step explanation:

its correct :)

Answer:

KL = 3

Step-by-step explanation:

Point K is on line segment \overline{JL} JL .

Given:

JL=4x

JK=2x+3

KL=x

Determine the numerical length of KL .

Note that:

J-------K-------L

JK + KL = JL

Step 1

We solve for x

JL = JK + KL

4x = 2x + 3 + x

4x = 3x + 3

Collect like terms

4x - 3x = 3

x = 3

Step 2

We solve for KL

KL = x

x = 3

Hence,

KL = 3

Answer:

3

Step-by-step explanation:

It's correct

\( - \frac{4}{5} \div 2 = - \frac{4}{5} \times \frac{1}{2} = - \frac{2 }{5} \\ \)

So the second one is the correct answer.

Answer:

- 2/5

Step-by-step explanation:

divide

add - sign

hope this helps

Answer:

To reflect a triangle across the y-axis, you need to negate the x-coordinate of each vertex.

The original triangle with vertices (1, 3), (2, 5), and (4, 3) will be reflected across the y-axis to become a new triangle with the following vertices: (-1, 3), (-2, 5), and (-4, 3).

Keep in mind that a reflection across the y-axis means that the object is flipped along the y-axis. Therefore, the x-coordinate of each vertex is multiplied by -1, which flips the object horizontally.

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer: The correct answer is D. This is because 3 times 5 equals 15. 2 times 12 is 24. 24 plus 15 equals 39. Therefor, the first equation checks out. Now lets move on to the next equation. Remeber. x is equal to 5 and y is equal to 12. 5 times 5 equals 25. 25 minus y, or 12, equals 13. The correct answer is D (5, 12.)

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As a manager, it is important to make loan authorization decisions based on financial facts and objective analysis rather than personal biases or gut feelings.

As a responsible manager, it is essential to make loan authorization decisions based on objective criteria rather than personal biases or gut feelings. In the case where you disagree with your subordinate's recommendation to provide a loan to a customer intending to invest in a restaurant, it is important to evaluate the customer's financial facts such as their credit history, business plan, financial projections, and ability to generate sufficient revenue to repay the loan. Personal opinions about the viability of restaurants as investments should not be the sole basis for denial.

Similarly, if your subordinate recommends a loan for a medical operation, your decision should be based on the customer's financial stability, business plan, potential profitability, and risk management strategies.

When evaluating a loan application, it is crucial to focus on financial facts rather than personal opinions about family members. Assess the customer's creditworthiness, financial history, business plan, and repayment capacity to make an informed decision.

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Answer:

52

Step-by-step explanation:

answer = fifty two

x = 52

Answer:

X+90+90+128=360(total sum of quadrilateral)

X+180+128=360

X+308=360

X=360-308

X=52

The upper bound of the 90% confidence interval for the recovery time is approximately 23.696 days.

It takes more than approximately 21.257 minutes to find a parking space 90% of the time.

To find the probability that it will take more than 11 days to recover from the surgical procedure, we need to calculate the area under the normal distribution curve to the right of 11 days.

Mean (μ) = 7 days

Standard deviation (σ) = 7.92 days

We can standardize the value of 11 days using the z-score formula:

z = (x - μ) / σ

z = (11 - 7) / 7.92

z = 0.506

Using a standard normal distribution table or a calculator, we can find the probability corresponding to the z-score of 0.506. The probability is approximately 0.3051.

Therefore, the probability that it will take more than 11 days to recover is approximately 0.3051 or 30.51%.

Question 8:

To find the upper bound of the 90% confidence interval for the number of days needed to recover from the surgical procedure, we need to calculate the z-score corresponding to the desired confidence level and then find the corresponding value using the standard deviation.

Given:

Mean (μ) = 20 days

Standard deviation (σ) = 2.24 days

For a 90% confidence interval, the z-score corresponding to the upper tail probability of 0.10 (1 - 0.90) is approximately 1.645.

Using the formula for the upper bound of the confidence interval:

Upper bound = μ + (z * σ)

Upper bound = 20 + (1.645 * 2.24)

Upper bound ≈ 23.696

Therefore, the upper bound of the 90% confidence interval for the recovery time is approximately 23.696 days.

Question 9:

To find the time it takes more than 90% of the time to find a parking space, we need to calculate the z-score corresponding to the desired upper tail probability and then find the corresponding value using the standard deviation.

Mean (μ) = 15 minutes

Standard deviation (σ) = 4.89 minutes

For a probability of 90%, the upper tail probability is 1 - 0.90 = 0.10.

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to the upper tail probability of 0.10, which is approximately 1.282.

Using the formula for the upper bound:

Upper bound = μ + (z * σ)

Upper bound = 15 + (1.282 * 4.89)

Upper bound ≈ 21.257

Therefore, it takes more than approximately 21.257 minutes to find a parking space 90% of the time.

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The value of x from the given expression is 1

If the point M is on the line LN, then the equivalent addition postulate is expressed as;

LM+MN = LN

Given the following

LN=9,

MN =4x

LM=5x

Substitute

5x + 4x = 9

9x = 9

x =9/9

x = 1

Hence the value of x from the given expression is 1

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The value of the additional data point is  \($19.17$\).

Let us first find the mean of the given data:

\(Mean = \frac{\sum_{i=1}^{n} x_i}{n}=\frac{39 + 45 + 43 + 42 + 44}{5}= 42.6\)

Now let's find the value of the additional data point. Let the value of the additional data point be x. Therefore, the new sum of data is

\($(39+45+43+42+44+x)$\).

Total numbers of data are 6 (five given in the set and one additional data point).So, the mean of the resulting data set is given by:

\(32.083 = \frac{(39+45+43+42+44+x)}{6}\)

Multiplying both sides of the equation by 6 we get:

\(6 \times 32.083 = (39+45+43+42+44+x)\)

We have the value of \($39+45+43+42+44$\) which is \($213$\).

Therefore, substituting all the values, we get:

\(193.83 + x = 213\)

On subtracting \($193.83$\) from both sides, we get the value of

\(x. x = 213 - 193.83 = 19.17\)

Therefore, the value of the additional data point is \($19.17$\)

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The limit of f(f(x)) as x approaches 0 does not exist.

When we evaluate f(f(x)), we substitute f(x) into f(x). However, the given function f(x) is not provided, as there is an error in the equation. Therefore, we cannot determine the specific value of f(f(x)). As a result, the limit of f(f(x)) as x approaches 0 does not exist since we don't have enough information about the function f(x).

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Answer:

1) Property of rhombus

2) Property of rectangle

Answer:

4.5

Step-by-step explanation:

The interior angles of the second triangle will be 50°, 55°, and 75° respectively.

What are similar triangles?

If the corresponding angles and sides of two triangles are congruent, then the two triangles are said to be similar.

In other words, similar triangles have the same shape but may differ in size.

Given, a triangle has interior angles of 50°, 55°, and 75° with side lengths of 3.1 m, 3.2 m, and 4.0 m.

And, a second triangle has side lengths of 10.3 m, 10.5 m, and 12.0 m.

The corresponding sides of both triangles are 3.1 m, 3.2 m, and 4.0 m with  10.3 m, 10.5 m, and 12.0 m respectively.

Then, the angles of both triangles are also corresponding to each other.

So we get, the interior angles of the second triangle will be 50°, 55°, and 75° respectively.

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The resulting expression with respect to x ∫[0 to 6] (8/(3(1 + e))) * [(x + e)^(3/2) - x^(3/2)] dx.

The average value of the function f(x, y) = 4ey √(x+ey) over the rectangle r = [0, 6] ⨯ [0, 1] can be determined by evaluating the double integral of f(x, y) over the given region and dividing it by the area of the rectangle.

To find the average value, we start by calculating the double integral:

∬[r] f(x, y) dA

Where dA represents the differential area element.

Since the region r is a rectangle defined by [0, 6] ⨯ [0, 1], we can set up the double integral as follows:

∫[0 to 6] ∫[0 to 1] f(x, y) dy dx

Now, let's compute the inner integral with respect to y:

∫[0 to 6] 4e^y √(x + ey) dy

To evaluate this integral, we can use the u-substitution method. Let u = x + ey, then du = (1 + e) dy. The bounds of integration for y become u(x, 0) = x and u(x, 1) = x + e.

Substituting the values, the inner integral becomes:

∫[0 to 6] (4/(1 + e)) √u du

= (4/(1 + e)) ∫[x to x + e] √u du

Next, we evaluate this integral with respect to u:

(4/(1 + e)) * (2/3) * u^(3/2) | [x to x + e]

= (8/(3(1 + e))) * [(x + e)^(3/2) - x^(3/2)]

Now, we integrate the resulting expression with respect to x:

∫[0 to 6] (8/(3(1 + e))) * [(x + e)^(3/2) - x^(3/2)] dx

Evaluating this integral will give us the average value of the function over the given rectangle. However, due to the complexity of the calculations involved, providing an exact numerical result within the specified word limit is not feasible. I recommend using numerical methods or software to evaluate the integral and obtain the final average value.

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Answer:

2/3.

Step-by-step explanation:

Total number of possible outcomes on one spin = 9.

Total of non multiples of 3:

1, 2, 4, 5,7 and 8

= 6

Answer is 6/9 = 2/3.

Answer:

B. 2/3

Step-by-step explanation:

Probability is written like a fraction where on the bottom you have ALL the possibilities. There's 9 numbers on the spinner, so there's a total of 9 different ways for it to land.

9 ways total. That goes on the bottom of the fraction.

On top of the fraction you put however many number of ways the event in question can happen. That goes on top.

A multiple of three is 3, 6, 9. There are 3 ways the spinner can land on a multiple of three. So there are 6 ways to land on NOT a multiple of three (1, 2, 4, 5, 7, 8) 6 ways, so 6 goes on top.

6/9 is the answer. But always simplify fractions first, like you do.

6/9 simplifies to 2/3

The answer is

B. 2/3

Let's isolate y first

\(\\ \rm\Rrightarrow 12x-6y=-36\)

\(\\ \rm\Rrightarrow 6y=12x+36\)

\(\\ \rm\Rrightarrow y=\dfrac{12}{6}x+\dfrac{36}{6}\)

\(\\ \rm\Rrightarrow y=2x+6\)

Compare to y=mx+b