write each decimal as a fraction or mixed number 0.45

Given the trigonometry equation expressed as;

We are to simplify for the value(s) of 'x"

Recall from trigonometry identity that:

Substitute the result into the original equation to have:

Solve for the value of "x"

The general solution to the given trigonometry function is:

Step-by-step explanation:

\(180 - 130 = 50\)

Triangle JKL is right. Triangle XYZ is acute.

To classify a triangle you need to know the measure of each angle.

For triangle JKL, if we measure the angles, we can see that angle JKL is 90 degrees, which makes it a right triangle.

For triangle XYZ, if we measure the angles, we can see that all angles are less than 90 degrees, which makes it an acute triangle.

Triangle JKL is a right triangle and triangle XYZ is an acute triangle.

Triangle JKL is right. Triangle XYZ is acute.

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Answer: b and a

Step-by-step explanation:

Answer:

\(\sqrt{169}=13\)

\(13-5=8\)

The integration of the equation \(32 rx - x - 5 dx = +2 o (\)A) 条 10 - +30m: 及 25 21 (B) can be done as follows:

\(∫(32rx - x - 5)dx = 2(A)条10- + 30m: 及 25 21(B)\)

To integrate the equation, we use the power rule of integration, which states that ∫x^n dx = (x^(n+1))/(n+1), where n is any real number except -1.

Applying the power rule, we integrate each term of the equation separately:

\(∫32rx dx = 16r(x^2)/2 = 16rx^2\)

∫x dx = (x^2)/2

∫5 dx = 5x

Now we substitute the integrated terms back into the original equation:

\(16rx^2 - (x^2)/2 - 5x = 2(A)条10- + 30m: 及 25 21(B)\)

The resulting equation is the integration of the given equation.

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Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

Answer:

the answer is D :)

Step-by-step explanation:

A) The amount of material used to make the box, A, is equal to 8x^2 + 40/x, where x is the length of a side of the square base.

B) For a base measuring 1 foot by 1 foot, A = 48 square feet.

C) For a base measuring 2 feet by 2 feet, A = 56 square feet.

D) The graph of A = A(x) is a quadratic function with a minimum value. The value of x for which A is smallest can be determined by finding the vertex of the quadratic function.

A) To find the amount of material used, A, we need to consider the surface area of the box. The box has six faces, and since it is closed, all faces need to be accounted for. The four vertical faces form a rectangular prism with dimensions x by x by h, where h is the height of the box.

The area of each face is x * h, and since there are four of them, the total area is 4 * x * h = 4xh. The top face is a square with side length x, and the bottom face is also a square with side length x. Therefore, the total surface area of the box is A = 4xh + 2x^2.

Given that the volume of the box is 10 cubic feet, we have the equation x^2 * h = 10. Solving for h, we get h = 10/x^2. Substituting this back into the surface area equation, we have A = 4x(10/x^2) + 2x^2 = 40/x + 2x^2 = 8x^2 + 40/x.

B) For a base measuring 1 foot by 1 foot, we substitute x = 1 into the equation for A: A = 8(1)^2 + 40/1 = 8 + 40 = 48 square feet.

C) For a base measuring 2 feet by 2 feet, we substitute x = 2 into the equation for A: A = 8(2)^2 + 40/2 = 32 + 20 = 52 square feet.

D) To find the value of x for which A is smallest, we need to find the vertex of the quadratic function A(x) = 8x^2 + 40/x. The vertex of a quadratic function of the form ax^2 + bx + c is given by x = -b/2a. In this case, a = 8 and b = 40, so the x-coordinate of the vertex is x = -40/(2*8) = -5/4.

However, since the side length of the square base cannot be negative, we discard this solution.

Therefore, the value of x for which A is smallest is the positive root of the quadratic function, which is x = √(40/8) = √5.

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6/50 fraction of all people in the company are women under age of 30 In a company where the ratio of men to women i 3:2.

In a company the ratio of men to women  3:2

30% of the women are under the age of 30.

suppose there are 500 people in the company

then 300 are men and 200 are women

30% of 200 = 200*30/100= 60 women are under 30

60/500= 6/50 women are under 30

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Answer:

40

Step-by-step explanation:

Answer:

-21

It is explained as in the file attached above.

Hope It Helps.

Answer:

-21

Step-by-step explanation:

-5p² - 8p

Let p = -3

Evaluate the expression

-5 ( -3) ^2 - 8(-3)

-5 ( 9) +24

-45 + 24

-21

Answer:

d'accord est-ce moi ou pas la même chose que j'ai fait

Answer:

29.33333... feet per second

Step-by-step explanation:

20×5280=105600 Because 1 mi=5280ft, you multiply 20 by 5280

105600÷60=1760  You divide 105600 by 60 because there are 60 minutes in an hour

1760 ÷ 60  You divide it by 60 again because there are 60 seconds in a minute

Your answer is 29.33333...

As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.

Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.

What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.

The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula

.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.

When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.

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Answer:

Step-by-step explanation:

Difference = New temperature - original temperature

                  = -12 - (18)

                 = - 30

New temperature is 30° less than the original temperature

Answer:

60 Gallons in 1/2 hour. So we can convert that to 240 quarts. it says 2 so we divide that by two. 240/2=120

Step-by-step explanation:

Hope this helps!

Answer:

(1,3)

Step-by-step explanation:

since they are open circles they will not have brackets instead they will have parentheses.

one answer for this number line (graph) is (1,3)

Answer:

6/25

Step-by-step explanation:

24% is just 24/100, then simplify.

Answer:

6/25

Step-by-step explanation:

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

Herein we have a situation where two people have different ages, Fatimah has an age such that she is 3 years younger than Nadia. Let be x and y variables that respesent the ages of Fatimah and Nadia, respectively. In summary, the word problem can be reduced into the following algebraic expression:

y - x = 3 (Expression that represents age difference between Fatimah and Nadia)

x + 3 = y, where x, y > 0 and y > x. (1)

The algebraic formula that represents the situation of the age difference between Fatimah and Nadia is x + 3 = y, where x, y > 0 and y > x.

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Answer:

1 Kobocoin = 2.344999 Nigerian Naira (NGN)

Step-by-step explanation:

Answer: 28

Step-by-step explanation:

Answer:

5:36

Step-by-step explanation:

12 inches = 1 foot, so 6 feet = 72 inches

10:72, reduces to 5:36

Whenever possible, research should be designed so that the data can be anlyzed using option (a) statistics

-This includes both parametric tests (which assume that the data is normally distributed and meet certain assumptions) and non-parametric tests (which do not make these assumptions and are useful for non-normal data). SPSS is a software program commonly used for statistical analysis, but it is not necessary for conducting statistical analyses.

a. statistics

Research should be designed so that the data can be analyzed using statistics. Statistics provide a set of methods and tools for analyzing and interpreting data, which can help researchers draw meaningful conclusions from their findings. Statistical analysis can be used to identify patterns, trends, and relationships in data, as well as to test hypothesis and make predictions.

Depending on the research question, data type, and sample size, different types of statistical tests may be appropriate. Both parametric and non-parametric tests can be used to analyze data, depending on the assumptions made about the underlying distribution of the data and the level of measurement of the variables. SPSS is a statistical software program that can be used to perform statistical analysis, but it is not necessary for designing research studies or analyzing data.

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Answer:

e

Step-by-step explanation:

The quadratic function that has x-intercepts at x = 3, and x = -5 that

passes through the point (1, -12) is f(x) = x² + 2·x - 15.

The intercepts of the graph of the quadratic function are x = 3 and x = -5

The point through which graph passes is (1, -12)

Required:

The equation of the quadratic function.

Solution:

Given that the intercepts are x = 3, and x = -5, we have;

x = 3, and x = -5 are the zeros of the quadratic function, which gives;

Factors of the quadratic function are; (x - 3) and (x + 5)

From which we have;

(x - 3) × (x + 5) = x² + 2·x - 15 is a factor of the quadratic function

When x = 1, we have;

1² + 2 × 1 - 15 = -12

Therefore, the point (1, -12) is a point on the quadratic function x² + 2·x -

15 that has intercepts at x = 3, and x = -5

The equation of the quadratic function is therefore;

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To evaluate the iterated integral ∭W fdV, where f(x, y, z) = xz + y^2 + z^2 and W is the bottom half of a sphere with radius 6, we can use spherical coordinates. The integral can be expressed as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, and the limits of integration need to be determined based on the geometry of the region.

In spherical coordinates, the integral ∭W fdV can be written as ∫AB ∫CD ∫EF ρ^2 sin(ϕ) f(ρ, ϕ, θ) dρ dϕ dθ, where ρ represents the radial distance, ϕ represents the polar angle, and θ represents the azimuthal angle.

Since W is the bottom half of a sphere with radius 6, the limits of integration need to be determined accordingly. The radius, ρ, varies from 0 to 6, as it represents the distance from the origin to the surface of the sphere. The polar angle, ϕ, ranges from 0 to π/2, as we are considering the bottom half of the sphere. The azimuthal angle, θ, can span the full range of 0 to 2π.

To evaluate the integral, we substitute the function f(ρ, ϕ, θ) = ρz + y^2 + z^2 into the integral expression and calculate the iterated integral ∫AB ∫CD ∫EF ρ^2 sin(ϕ) (ρz + y^2 + z^2) dρ dϕ dθ using the determined limits of integration. The resulting value will be the evaluation of the integral.

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This pseudocode outlines the basic steps for implementing the discretized PID controller in a digitized environment.

Here's the pseudocode for implementing the discretized PID controller in a digitized environment:

```

Read input signal

Initialize controller outputs

While loop until process is stopped:

   Calculate error = setpoint - process variable

   Calculate PID outputs using PID formula

   Compute new control output using PID outputs and discretized controller

   Apply control output to the process

End while loop

```

In this pseudocode, you first read the input signal and initialize the controller outputs. Then, in a loop that continues until the process is stopped, you calculate the error by subtracting the setpoint from the process variable.

Next, you calculate the PID outputs using the PID formula. After that, you compute the new control output by combining the PID outputs with the discretized controller. Finally, you apply the control output to the process. The loop continues until the process is stopped.

This pseudocode outlines the basic steps for implementing the discretized PID controller in a digitized environment.

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Answer:

282.74in

Step-by-step explanation:

As per the combination method, there are 15 different ways are possible for this situation.

Combination method:

Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.

Given,

Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.

Here we know that that the value of

Total number of students = 6

Best student = 1

Runner - up = 1

So, as per the NCR formula, the value of n = 6 and the value of r = 2

Then the possible combinations are calculated as,

=> ⁶C₂ = 6! / 2!(6 - 2)!

=> ⁶C₂ = 6!/2!4!

=>⁶C₂ = 15

Therefore, the resulting number of ways is 15.

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