Given the ordered pairs (-3,-2) and (4,-2), what is the horizontal distance between
the points?

The derivatives of the functions are

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

(a) e⁴ˣ + 2sin(x)

(b) ln(6 + sin(3u))

The derivative of the first functions can be calculated using the first principle which states that

if f(x) = axⁿ, then f'(x) = naxⁿ⁻¹

Using the above as a guide, we have the following:

(a) e⁴ˣ + 2sin(x) = 4e⁴ˣ + 2cos(x)

For the second, we use trigonometry rules

So, we have

(b) ln(6 + sin(3u)) = 3cos(3u)/(sin(3u) + 6)

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The value of x in the triangle using the cosine rule is 22.1 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

c² = a² + b² - 2ab cos C

Where a, b, c are the sides and C is the angle opposite side c.

Using cosine rule:

8² = 14² + 19² - 2(14)(19) * cos(x)

cos(x) = 0.9267

x = 22.1°

The value of x in the triangle using the cosine rule is 22.1 degrees.

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Using the law of Cosines, the value of x to the nearest tenth is 77.8

From the question, we are to determine the value of x

Using the law of Cosines

c² = a² + b² - 2ab cos C

c is the unknown side length  

a and b are the given side lengths

and C is the included angle

From the given information,

a = 63

b = 62

C = 142°

Then,

x² = 63² + 61² -2×63×61 cos 142°

x² = 3969 + 3721 -7686(-0.788)

x² = 7690 + 6056.568

x² = 13746.569

x = √13746.569

x = 77.8

Hence, the value of x to the nearest tenth is 77.8

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Cases are on display OA 619,200 cubic inches.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.
To calculate the number of cubic inches needed for 360 cases of 12-ounce cans of soft drink, we need to multiply the number of cases (360) by the volume of each case. The volume of each case can be calculated by multiplying its length (16 inches), width (10.75 inches) and height (5 inches):

Volume = 16.00 inches x 10.75 inches x 5.00 inches = 828 cubic inches

Therefore, 360 cases of 12-ounce cans of soft drink require (360 x 828) = 619,200 cubic inches.

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To find the percent of happy people, we just have to divide the number of happy participants by the total number of them.

Then, we multiply it by 10 to express it as a percentage.

Answer:24

Step-by-step explanation:

simplify 1 * x to x

x/2=12

multiply both sides by 2

x=12 * 2

simplify 12 * 2 to24

x=24

No, these two events cannot be disjoint. Disjoint events, also known as mutually exclusive events, are events that cannot occur simultaneously.

In other words, if events A and B are disjoint, it means that the occurrence of one event excludes the possibility of the other event occurring.

However, in this case, we are given that P(A) > 0 and P(B) > 0. This means that both events A and B have non-zero probabilities of occurring. Since both events have a positive probability, they cannot be disjoint because there is a possibility of their intersection, where both events occur simultaneously.

Disjoint events would have the property that P(A ∩ B) = 0, indicating that their intersection is an empty set. But given that P(A) > 0 and P(B) > 0, it implies that there is some non-zero probability for the events A and B to occur together, making them not disjoint.

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Step-by-step explanation:

homework is like extra practice about what u had previously learned about that day

(i) The weak solution u of the given variational problem with the boundary condition is represented and explained. The interface jump of u' at x = 0 is discussed.

(ii) An approximate solution using {1, 2,...,09} in the 1-D example is found.

(i) To represent the weak solution u of the given variational problem with the boundary condition u(-1) = 0 and u(1) = 0, we consider the function space H¹(N). The weak formulation of the problem involves finding a function u that satisfies the equation -∇·(o(x)∇u(x)) = ƒ in N and the boundary condition u(-1) = 0, u(1) = 0, while minimizing the energy functional ∫[² u²(x) + 3[²² ³[₁ u²(x)¢¹(x)] dx over the space H¹(N).

The interface jump of u' at x = 0 refers to the change in the derivative of u across the point x = 0. This jump can be explained by considering the properties of the solution u and the behavior of the differential equation at the interface.

(ii) To find an approximate solution using {1, 2,...,09} in the 1-D example, we need more information about the specific numerical scheme or method described in the lecture note. Without knowing the details of the method, it is not possible to provide an accurate approximation using {1, 2,...,09}.

It is important to have a specific numerical algorithm or scheme to generate an approximate solution. Depending on the method used, such as finite difference, finite element, or spectral methods, the specific steps and calculations may differ. Without this information, it is not possible to provide a meaningful approximation using {1, 2,...,09} in this context.

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Answer:

Step-by-step explanation:

I'm assuming you're looking for the age of the mammal hide, since there's no question here, but there's also nothing else to solve for. Remember a few things before we move on. First, if we are not told the initial amount with which we start, we have to assume that it's 100%. Second, remember that natural log and e are inverses of each other so they eliminate each other in application. Now to set up the problem. It looks like this:

\(71=100e^{-.0001t}\) and begin by dividing both sides by 100 to get

\(.71=e^{-.0001t}\) and take the natural log of both sides. The other important thing to remember about the rules for logs and natural logs is that when you take the natural log of something, you are "allowed" to move the exponent down out front, which is why we do this. We cannot currently solve for t when it's stuck up there where it is right now. Taking the natural log allows us to bring that exponent down AND eliminate both the natural log and the e at the same time:

ln(.71) = -.0001t and we divide to solve for t:

\(\frac{ln(.71)}{-.0001}=t\) and

\(\frac{-.3424903089}{-.0001}=t\) so

t = 3424.9 years, or rounded, 3425 years.

Answer:

B

Step-by-step explanation:

original--15+10=25

sale--15+10*50%=20

25-20=5

5/25=1/5=20%

Answer:

25

Step-by-step explanation:

5²=25

Answer:

25

Step-by-step explanation:

it is like 5 times 5

The claim that there is not much difference between qualitative and quantitative data is incorrect.

Qualitative and quantitative data are two distinct types of data that serve different purposes and have different characteristics.

Qualitative data refers to non-numerical information that is typically obtained through observations, interviews, or surveys. It provides insights into opinions, attitudes, behaviors, and subjective experiences. Qualitative data is often descriptive in nature, expressed in words, narratives, or themes. It allows researchers to explore complex phenomena, understand contextual factors, and capture the richness of human experiences. Examples of qualitative data include interview transcripts, field notes, and open-ended survey responses.

On the other hand, quantitative data is numerical in nature and involves the collection and analysis of measurable variables. It focuses on quantities, statistical analysis, and mathematical modeling. Quantitative data allows researchers to quantify relationships, make predictions, and conduct statistical tests. It is often collected through surveys, experiments, or structured observations. Examples of quantitative data include numerical measurements, survey responses on a Likert scale, and statistical values such as means and standard deviations.

In conclusion, qualitative and quantitative data are distinct in their characteristics, purpose, and analytical approaches. The claim that there is not much difference between them is incorrect.

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Answer:

Step-by-step explanation:

Statements                           Reasons

∠BAC ≅ ∠ DCA                      Given

AM ≅ CM                               Given

∠BCA ≅ ∠DAC                      Isosceles triangle property

AC ≅ CA                                Reflexive property

ΔACB ≅ ΔCAD                        Angle Side Angle Congruent  (ASA)

Hence, proved.

The ordered pair that is a solution for the inequality 2x + 3y < 12 and

3x - 2y ≥ 18 is

The solution is sought by substituting to each of the pair to the equation and comparing the answers

for  D. (4,-9)

2 * 4 + 3 * -9 < 12

-19 < 12   correct

3x - 2y ≥ 18

3 * 4 - 2 * -9 ≥ 18

30  ≥ 18 correct

This proves that option D is the correct option

trying for A. (5,0)

2 * 5 + 3 * 5 < 12

25 < 12   incorrect

3x - 2y ≥ 18

3 * 5 - 2 * 0 ≥ 18

15  ≥ 18 incorrect

trying for B. (3,-1)

2 * 3 + 3 * -1 < 12

3 < 12   correct

3x - 2y ≥ 18

3 * 3 - 2 * -1 ≥ 18

11  ≥ 18 incorrect

When any part is incorrect the pair is not a solution

trying for C. (-1,3)

2 * -1 + 3 * 3 < 12

7 < 12   correct

3x - 2y ≥ 18

3 * -1 - 2 * 3 ≥ 18

-9  ≥ 18 incorrect

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Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

A. 7w + 60 = 5w + 120; w = 30

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

The mean is 6

The variance is 4/3

The standard deviation is approximately 1.15.

How we Calculate the mean?
The mean (μ) of a uniformly distributed random variable is the average of the endpoints of the interval. So, in this case:
μ = (4 + 8) / 2 = 12 / 2 = 6

How we Calculate the variance?
The variance (σ²) of a uniformly distributed random variable is given by the formula:
σ² = (b - a)² / 12
where a and b are the endpoints of the interval. In this case:
σ² = (8 - 4)² / 12 = 4² / 12 = 16 / 12 = 4 / 3

How we Calculate the standard deviation?
The standard deviation (σ) is the square root of the variance. So, in this case:
σ = √(4 / 3) ≈ 1.15

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Answer:

Step-by-step explanation:

The area of the quadrilateral is a sum of areas of two triangles with base of 8 m and hight of 2 m.

A = 2×0.5×8×2 = 16 m²

Answer:

154.1 approximately

Step-by-step explanation:

If the 27% of a number is 57 (let x represent the 73%)

Then to find the 73% we use the following equation

57/x = 27/73 cross multiply expressions

4161 = 27x divide both sides by 27

154.1 = x

Answer: D

Step-by-step explanation:

Answer:

The walkway is approximately 34.64 feet long

Step-by-step explanation:

The length of the sides of the equilateral triangle shaped the city garden = 40 feet

The path of the walkway = From the midpoint of a side to the opposite vertex

Therefore, we have;

Let x, represent the length of the walkway

We have that the x, a side of the equilateral triangle, and half the side of the location of the gate, forms a right triangle, with a side of the equilateral triangle representing the hypotenuse side

Therefore, we have;

40² = x² + (40/2)²

40² = x² + 20²

x² = 40² - 20² = 1200

x = √1200 = 20·√3

The length of the walkway = x = 20·√3 ≈ 34.64 feet.

Answer:

\((2x + 3y^{2}) (2x + 3y^{2} )^{2}\)

Step-by-step explanation:

\(a^{3} + b^{3} = (a + b) (a^{2} - ab + b^{2})\) where a = 2x and b = \(3y^{2}\)

Answer:

The answer is 9

Step-by-step explanation:

Because both 116 and the equation are the same angle, we can just solve thr eqution to equal 116. And substituting x with 9 will get us to 116 degreez

Answer:

8x1 4* 28 × +8 = 28x + 12

8x^1 + 4 times 28 + 8

Add common Factors which are 8x and 28x added they equals 36x and 4 and 8 which equals 12 so now we got 28x + 12 and that is the answer

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(a) The Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable.  (b)the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable (c) the function is differentiable (d)  if h(z) is differentiable at z = 2.

a) For the function f(z) = 3z² + 5z + i - 1, we can compute the partial derivatives with respect to x and y, denoted by u(x, y) and v(x, y), respectively. If the Cauchy-Riemann equations are satisfied, i.e., ∂u/∂x = ∂v/∂y and ∂u/∂y = -∂v/∂x, then the function is differentiable. We can further determine f'(z) by finding the derivative of f(z) with respect to z.

b) For the function g(z) = z + 1 / (2z + 1), we follow the same process of computing the partial derivatives u(x, y) and v(x, y) and check if the Cauchy-Riemann equations are satisfied. If they are satisfied, the function is differentiable, and we can find g'(z) by taking the derivative of g(z) with respect to z.

c) For the function F(z) = z / (z + i), we apply the Cauchy-Riemann equations and check if they hold. If they do, the function is differentiable, and we can calculate F'(z) by finding the derivative of F(z) with respect to z.

d) For the function h(z) = z² - 4z + 2, we are given a specific value of z, namely z = 2. To determine if h(z) is differentiable at z = 2, we need to evaluate the derivative at that point, which is h'(2).

By applying the Cauchy-Riemann equations and calculating the derivatives accordingly, we can determine the differentiability and find the derivatives (if they exist) for each of the given functions.

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Answer:

((I do not have the answers for one, two, or four))

3.)

•What do you know?

-It’s about 425 miles from San Jose to Los Angeles and 320 miles from San Jose to Santa Barbara.

•What do you want to find out?

-How many miles it is from Santa Barbara to Los Angeles.

•What kind of answer do you expect?

-If using variable, I expect that I will get the number of miles from one city to the other.

5.)

425 = 320 + X

6.)

425 = 320 + X

Subtract 320 from both sides.

7.)

X = 105

From Santa Barbra to Los Angeles it is 105 miles.

8.)

320 + 105 = 425