zero point three divided by zero point 9

Answer:

You have to multiply the input 3 times to get the output.

The missing number in the median set is 6.

We are given that;

Median set=18

Now,

To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.

For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.

Therefore, by median the answer will be 6.

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The answer is: The first graphic representation.

We are given a quadratic equation, meaning that it could be two possible solutions for the exercise, however, we are talking about time, so we have to consider only the obtained positive values.

Let's make the equation equal to 0 in order to find the values of "t"

\(h(t) = -16.1t^2 + 150\)

\(0=-16.1t^2+150\)

\(16.1t^2=150\)

\(t^2=\frac{150}{16.1} =9.32\)

\(t=+-\sqrt{9.32} =+-3.05\)

\(t1=3.05\)

\(t2=-305\)

So, discarding the negative value, we can use the possitive value to find the correct graphic representation.

To find the correct graphic representation we must take into consideration the following:

- We must remember that the sign of the coefficient of the quadratic term (t^2) will define if the parabola opens downward or upward.

From the given quadratic (or parabola) equation we have:

\(a=-1\)

\(b=0\)

\(c=150\)

So, since the coefficient of the quadratic term is negative, the parabola opens downward.

- Since we are looking for a graphic that represents the change in height over time, we need to look for a graphic that shows only positive values for the x-axis (time)

- We are looking for a parabola which y-axis intercept is equal to 150.

Therefore, the graphic representation of the quadratic function that models a ball's height over time is the first graphic representation.

Have a nice day!

Answer:

g(-2)= 5*(-2) + 1

= -10+1

= -9

Answer:

g(-2) = -9

Step-by-step explanation:

g(x)=5x+1,

Let x = -2

g(-2) = 5(-2) +1

        = -10 +1

         = -9

Answer:

x = 6

Step-by-step explanation:

2(5) - 4

-> 10 - 4

-> 6

-> x = 6

An explicit formula for aₙ, the nth term of the arithmetic sequence is aₙ = 19 - 6(n - 1).

Mathematically, the nth term of an arithmetic sequence can be calculated by using this mathematical expression:

aₙ = a₁ + (n - 1)d

Where:

From the information provided, we have the following parameters:

First term, a₁ = 19

Second term, a₂ = 13

Next, we would determine the common difference as follows:

Common difference, d = a₂ - a₁

Common difference, d = 13 - 19

Common difference, d = -6

Substituting the parameters into the mathematical expression, we have;

aₙ = 19 + (n - 1)(-6)

aₙ = 19 - 6(n - 1).

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The money rate of interest that lenders pay for borrowed funds minus the real rate of interest equals the relationship between these different interest rates.

Subtracting the real rate of interest from the money rate of interest gives us the inflation component, which is then added to the real rate of interest to arrive at the nominal rate of interest.

The money rate of interest that lenders pay for borrowed funds minus the real rate of interest equals the nominal rate of interest. This is because the nominal rate of interest reflects both the money rate of interest and the inflation rate.

The real rate of interest, on the other hand, reflects the true return on investment after accounting for inflation.

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We can find the x-value corresponding to a given f(x) by rearranging the equation and taking the square root of both sides.

At first, we will rearrange the equation to get the x-value in terms of f(x). After rearranging, the equation becomes x2 = (f(x) (x2 + 0.09))/100.

Then, we will take the square root of both sides of the equation to get the x-value in terms of f(x) alone. After taking the square root, the equation becomes x = √((f(x) (x2 + 0.09))/100).

Finally, we will substitute the values of f(x) in the equation to get the corresponding x-value. For example, if f(x) = 50, then x = √((50 (x2 + 0.09))/100). Solving this equation, we get x = 0.49.

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The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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The sum of first square number and the first cube number would be 2.

What is the cube of a number?

A cube of a number is the number multiplied by itself three times. For example, the cube of 2 is 2 x 2 x 2 = 8. It can also be represented mathematically by raising the number to the power of 3, such as x^3 where x is the number you want to find the cube of.

The first square number is 1^2 = 1 and the first cube number is 1^3 = 1. Therefore, the sum of the first square number and the first cube number is 1 + 1 = 2.

Hence, the sum of first square number and the first cube number would be 2.

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Answer:

The length of the side DE is approximately 541.3 feet long.

Step-by-step explanation:

There is a trigonometry law called the law of sines, which states the sine of an angle divided by its opposite side is equivalent to the sine of all the other angles in that right triangle divided by its corresponding opposite side. You can use this law to help you solve for x. By applying the law of sines, you'll get that \(\frac{sin(90^{o})}{x} =\frac{sin(10^{o})}{94}\) ⇒ \(\frac{x}{sin(90^{o})} =\frac{94}{sin(10^{o})}\) ⇒ \(x = \frac{94*sin(90^{o})}{sin(10^o)}\) ⇒ \(x=541.3ft.\)

The surface area of the triangular prism with given dimensions in the figure is equal to 144 square centimeters.

Surface area of the triangular prism

= Area of the two triangles + Area of the three rectangular faces

In triangles,

3, 4, 5 are Pythagorean triplets.

It is a right angled triangle.

Area of triangle

= ( 1/2) × base × height

= ( 1/2) × 4 × 3

= 6 cm²

Area of two triangles = 2 × 6

                                   = 12 cm²

Area of rectangle = length × width

Rectangle 1 ,

length = 11 cm , width = 5cm

Rectangle 2 ,

length = 11 cm , width = 4cm

Rectangle 3 ,

length = 11 cm , width = 3cm

Area of three rectangles = ( 3 + 4+ 5 ) × 11

                                         = 132 cm²

Surface area of the triangular prism = 12 + 132

                                                            = 144 square centimeters

Therefore, the surface area of the triangular prism is equal to 144 square centimeters.

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Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

Answer:

It is equal to \(5m-15\).

Step-by-step explanation:

Multiply:

\(5*m=5m\\5*(-3)=-15\\5(m-3)=5m-15\)

The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

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To compare mean head circumferences between the two groups, perform a hypothesis test using the independent samples t-test.

The independent samples t-test is appropriate when comparing the means of two independent groups. In this case, the two groups are the babies exposed to marijuana during pregnancy and the babies not exposed to marijuana.

Here are the steps for performing the independent samples t-test:

Null Hypothesis (H₀): The mean head circumferences of the two groups are equal.

Alternative Hypothesis (Hₐ): The mean head circumferences of the two groups are different.

Calculate the t-statistic:

Compute the difference in sample means: (mean of group not exposed) - (mean of group exposed)

Calculate the standard error of the difference in means using the formula:

standard error =  \(\sqrt{s_{1} ^{2}/n_{1}+s_{2}/n_{2} }\))

where s₁ and s₂ are the standard deviations of the two groups, and n₁ and n₂ are the sample sizes.

Calculate the t-statistic using the formula:

t = (mean difference - hypothesized difference) / standard error

Determine the degrees of freedom (df). For independent samples t-test, the degrees of freedom can be calculated as:

df = n₁ + n₂ - 2

where n₁ and n₂ are the sample sizes of the two groups.

Determine the critical value or p-value. Using the calculated t-statistic and degrees of freedom, you can look up the critical value from a t-distribution table or use statistical software to calculate the p-value.

Compare the obtained t-value with the critical value or p-value:

If the obtained t-value is greater than the critical value (or if the p-value is less than the significance level, often 0.05), reject the null hypothesis and conclude that there is a significant difference in the mean head circumferences between the two groups.

If the obtained t-value is less than the critical value (or if the p-value is greater than the significance level), fail to reject the null hypothesis and conclude that there is not enough evidence to suggest a significant difference in the mean head circumferences.

Remember, you have been given a confidence interval for the difference in mean circumferences. This can be used to inform your hypothesis test by checking if the hypothesized difference of 0 falls within the confidence interval.

By following these steps, you can perform an independent samples t-test to compare the mean head circumferences between the two groups and determine if there is a significant difference.

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Answer:

It is 11.49

Step-by-step explanation:

12.39 - 11.94= 0.45

11.04 + 0.45= 11.49

Answer:

1080 times

Step-by-step explanation:

72*15=1080

It will beat 1080 times

Answer:

1080

Step-by-step explanation:

72 beats per minute times 15 minutes = 1,080 beats in 15 minutes.

Answer:

1,880 people will fit in 94 ft by 50 ft

Step-by-step explanation:

We can estimate this using the area

For 5 ft by 5ft ; 10 people can fit in an area of 5 * 5 = 25 ft^2

In an area of 94 ft by 50 ft, the number of people that can fit will be;

let’s start with the area

Area = 94 * 50 = 4,700 square feet

10 people will fit in 25 square feet

x people in 4,700 square feet

25 * x = 10 * 4700

25x = 47,000

x = 47000/25

x = 1,880 people

Answer:21.46 is her profit

Step-by-step explanation:

Answer:

Clearly this figure is delusional loser bs

D = 93º

E = 43.5º

F = 43.5º

DF = 40

DE = 40

EF = 58

Step-by-step explanation:

Assuming angles F and E are the same angle, then:

8x - 24 = 40

8x = 40 + 24

8x = 64

x = 8

6x + 10 =

6 * 8 + 10 =

48 + 10 =

58

Cut the triangle in half:

58 / 2 = 29

sin x = 29 / 40 = 0.725 =~ 46.5º

D = 46.5 * 2

D = 93º

180 - 93 = 87º

87 / 2 = 43.5º

Answer:

d - 2

Step-by-step explanation:

saying it out loud helps :)

Answer:

ab hehehe hende ko Alam hahahah

Hence, the area of the square \(AB\)  is \(5\)

What is the area of square?

The area of a square is equal to

(side) × (side) square units.

Here given that,

Square \(ABCD\) is drawn on the coordinate plane (not shown) with vertex \(A(-4,-2)\) and the midpoint of side \(AB\) at \(B(-1.-6).\)

Given ertices are \(A(-4,-2)\) and \(B(-1.-6).\)

So,

\(AB=\sqrt{(-1+4)^2+(-6+2)^2}\\AB=\sqrt{(3)^2+(-4)^2}\\AB=\sqrt{9+16}\\AB=\sqrt{25}\\AB=5\)

Hence, the area of the square \(AB\)  is \(5\).

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Answer:

Formulas for a rectangular prism:

Volume of Rectangular Prism: V = lwh.

Surface Area of Rectangular Prism: S = 2(lw + lh + wh)

Space Diagonal of Rectangular Prism: (similar to the distance between 2 points) d = √(l2 + w2 + h2)

Step-by-step explanation:

Hope it helps :))))

A T distribution table is a statistical table that provides critical values for the Student's t-distribution. It is used in hypothesis testing to determine the significance of a difference between the sample mean and the population mean.

The T distribution table is used when the sample size is small (typically less than 30) and the population standard deviation is unknown. The Student's t-distribution is a probability distribution that is used to estimate the population mean when the sample size is small and the population standard deviation is unknown. It is a bell-shaped curve that approaches a normal distribution as the sample size increases.

The shape of the T distribution is determined by a parameter called the degrees of freedom (df), which is equal to the sample size minus 1. The critical values for the T distribution are used to determine the probability of obtaining a sample mean that is significantly different from the population mean.

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Answer:

False

Step-by-step explanation:

Hope this helped

In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.

However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.

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