what equation results from competing the square and then factoring? x^2+12x=16
a. 36
b. 24
c. 6
d. 12

Answer:

25 lengths

Step-by-step explanation:

1500 metres/60 metres=25

Answer:

25 lengths

Step-by-step explanation:

1500 meters / 60 meters = 25 lengths

Country B has a median wind speed that is higher than country A does.

The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution in statistics and probability theory. It could be considered "the intermediate" value for a set of data.

An ordered data set's median is its middle number. The mean is calculated as the product of all values divided by all possible values.

The entire distance traveled by the object in a specific amount of time is its average speed. A scalar quantity, average speed, exists. The magnitude serves as its representation, and it lacks direction.

The typical wind speeds for two nations have been provided to us.

Country A's median equals the box's second term (1+9.5).

=5.25, which is the box's seventh word.

B's median is equal to (1.2+11)/2.

=6.1, where 9 is the term.

As a result, the median for country B is higher than the median for country A, with a value of 7 for A and 9 for B.

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Ralph Chase should sell a short-term note of $95,000 at 11% interest and a long-term note of $75,000 at 9% interest to receive a total annual interest of $17,200

To find the amount of each note, we need to use a system of equations. Let x be the amount of the short-term note and y be the amount of the long-term note.

We know that the total amount of the notes is $170,000, so:

x + y = 170,000

We also know that the total annual interest paid is $17,200. The interest on the short-term note is 11%, so the annual interest paid on that note is 0.11x. The interest on the long-term note is 9%, so the annual interest paid on that note is 0.09y. Therefore:

0.11x + 0.09y = 17,200

Now we have two equations:

x + y = 170,000

0.11x + 0.09y = 17,200

We can solve for x and y using substitution or elimination. Here's the elimination method:

- Multiply the first equation by 0.09:

0.09x + 0.09y = 15,300

- Subtract this equation from the second equation:

0.02x = 1,900

x = 95,000

- Substitute x = 95,000 into the first equation:

95,000 + y = 170,000

y = 75,000

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Answer:

1kg : 4kg

Step-by-step explanation:

You need to simplify the current equation

5 : 20

Divide both sides by 5

5/5 : 20/5

1 : 4

1kg : 4kg

Hope this helps!

Plz name brainliest if possible!

Answer:

1kg:4g

Step-by-step explanation:

The U.S. government agency dedicated to financing and supporting U.S. exporters and importers is known as the Export-Import Bank of the U.S. (EXIM Bank).

The Export-Import Bank of the U.S. (EXIM Bank) is a federal agency responsible for providing financial assistance to U.S. exporters and importers. Its main objective is to promote American exports and support job creation in the United States.

The EXIM Bank offers various financial products, such as loans, loan guarantees, and export credit insurance, to facilitate international trade and mitigate commercial risks. By assisting U.S. businesses in accessing foreign markets, the EXIM Bank plays a crucial role in boosting American competitiveness in the global economy.

The Export-Import Bank of the U.S. (EXIM Bank) serves as the primary U.S. government agency dedicated to financing and assisting U.S. exporters and importers. Through its financial products and support, the EXIM Bank contributes to the growth of American businesses and the overall strength of the U.S. economy in the global marketplace.

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Answer:

120

Step-by-step explanation:

3 mons = 12 weeks

$20 every 2 weeks, so average $10 / week

so 12*10 = 120

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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Answer:

B

Step-by-step explanation:

The cube of twice a number =

\({2m}^{3}\)

Decreased by 11 =

\( - 11\)

Hence, the cube of twice a number decreased by 11 =

\( {2m}^{3} - 11\)

The cube of twice a number decreased by 11 =2n^3-11

We have given options

We have to determine the correct statement

Let us consider a number n.

Expressions ismathematical statements with a minimum of two terms containing numbers or variables, or both, are connected by an operator in between.

The cube of twice a number =2n^3

Decreased by 11 =2n^3-11

Hence, the cube of twice a number decreased by 11 =2n^3-11

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The total cost of the brackets before tax = $89.70

Height = 9 feet

length = 10 feet

Wall brackets come in 48-in cost $12.95 and 60-in costing $16.95

Distance of brackets from ends = 1 foot

Maximum distance between brackets = 24 inches

The brackets are:

  48/12= 4feet, and 60/12 = 5feet

One of each must be used to cover the height of the shelf.

The length of the shelf is 60 inches

On subtracting 1 foot from each side of the allowance we get, 60-2 = 58-in

Then dividing by 24 we get

58/24 ≈3

The Total cost = (12.95 + 16.95)×3

                        = $89.70

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Answer:

play a game it will help

Step-by-step explanation:

Answer:  Function 1 has the more negative slope at -2 1/3

Step-by-step explanation:

The slope of Function 1 is -(7/3).

We can calculate the slope of Function 2 by taking any two points and calculating a "Rise/Run," or the change in y per a change in x.  I'll pick points (0,-2) and (11,-24):

Rise = (-24 - (-2) = -22

Run = (11 - 0) = 11

Rise/Run, or slope = -22/11 or -2

Function 1 has the more negative slope at -2 1/3.

Answer:

120

Step-by-step explanation:

Split up the boxes to help you achieve the answer.

Answer:

B

There is no friction

Step-by-step explanation:

if the object is stationary , it's not moving, no forces acting on it how can it produces friction ?

The first function is continuous everywhere in the complex plane. The second function is continuous everywhere except at z=0. The third function is continuous everywhere except at z=-2 and z=1.

The function z⁴ - 9z² + iz -2 is continuous everywhere in the complex plane.

The function z + 1/z² + 1 is continuous everywhere in the complex plane except at z = 0.

The function z² + 6x + 5/z² + 3z + 2 is continuous everywhere in the complex plane except at z = -2 and z = -1/3.

The function z⁴ + 1/Z² + 2z + 2 is continuous everywhere in the complex plane except at z = 0.

The function x + iy/x - 1 is continuous on the complex plane excluding the negative x-axis.

The function x + iy/|z| - 1 is continuous everywhere in the complex plane except at z = 0.

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Complete question is in the image attached below

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Using sinusoidal function concepts, it is found that the values are A = 2 and D = 2.

The cosine function, with standard period, is represented by:

\(y = A\cos{x} + D\)

In which:

In this problem, the amplitude is of 4 - 0 = 4, hence:

\(2A = 4\)

\(A = \frac{4}{2}\)

\(A = 2\)

The standard function has range between -2 and 2, in this problem it is between 0 and 4, hence the vertical shift up is of 2 units, that is, D = 2.

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To begin solving a polynomial problem, express it in standard form. When it reaches zero, factor it and then set each variable factor to zero. The answers to the resultant equations are the original solutions. Factoring cannot solve all polynomial problems.

Polynomials are sums of terms of the form where k can be any number and n can be any positive integer. 3x+2x-5, for example, is a polynomial. A primer on polynomials. This video defines words such as degree, standard form, monomial, binomial, and trinomial.

A polynomial may be categorized into four categories based on its degree. There are four types of polynomials: zero polynomial, linear polynomial, quadratic polynomial, and cubic polynomial.

A polynomial function is one that uses only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on. For example, 2x+5 is a polynomial with an exponent of one.

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The probability that the sum of two slips drawn at random without replacement from a hat containing slips numbered 1 to 10 is 5 is (d) 1/30.

To determine the probability, we need to count the number of favorable outcomes (pairs of slips whose sum is 5) and divide it by the total number of possible outcomes (all pairs of slips that can be drawn without replacement).

There are three favorable outcomes: (1, 4), (2, 3), and (3, 2). These pairs add up to 5.

To calculate the total number of possible outcomes, we consider that the first slip can be any of the 10 numbers, and the second slip can be any of the remaining 9 numbers (since we are drawing without replacement). Therefore, there are 10 * 9 = 90 possible outcomes.

The probability is then given by 3 (favorable outcomes) divided by 90 (possible outcomes), which simplifies to 1/30. Therefore, the probability that the sum of the two slips is 5 is 1/30, corresponding to option (d).

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The probability that the sum of the numbers on the two drawn slips is 5, is 2/45.

The subject of this question is probability. We have to find the probability that the sum of two randomly drawn slips is 5. The possible ways of drawing two slips whose sum is 5 are (1,4), (4,1), (2,3) and (3,2). So, there are 4 successful outcomes. The total number of outcomes is 10 choose 2, which is 45. Hence, the probability is the number of successful outcomes divided by the total number of outcomes. Thus the probability that the sum of the numbers on the two drawn slips is 5 equals 4/45 = 2/45. So, the correct answer is (c) 2/45.

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The percent of cans that weigh 860 grams or less is equal to the area under the normal distribution curve from -∞ to -2, which is 0.0026.

The percent of cans that weigh 860 grams or less is 0.0026. This can be calculated using the formula for the z-score of a particular value, which is given by (x-μ)/σ, where x is the value, μ is the mean, and σ is the standard deviation. In this case, the z-score is (860-1000)/50, which equals -2. Therefore, the percent of cans that weigh 860 grams or less is equal to the area under the normal distribution curve from -∞ to -2, which is 0.0026.

The formula for calculating the percentage of cans with a weight of 860 grams or less is P(X ≤ 860) = P(Z ≤ (860 - 1000)/50) = P(Z ≤ -2.4).

To calculate the percentage, we need to use the standard normal table. According to the table, P(Z ≤ -2.4) = 0.0026. This means that 0.0026 or 0.26% of the cans weigh 860 grams or less.

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To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

When you roll a 6-sided cube, numbered 1 to 6, the probability of rolling a 2 is 1:6. This is an example of theorectical probability.

Step-by-step explanation:

The probability of rolling a 2 on a 6-sided dice is  

1

6

The probability of rolling two 2s on two 6-sided die is, by the multiplication principle,  

1

6

×

1

6

=

1

36

Subjective is something that is based on personal opinion, so I think the answer is actually theoretical probability! Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.

Hope this helps, have a good day :)

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The probability of a bulb lasting for between 557 and 561 hours is roughly 0.0382 or 3.82%

Able to utilize the standard ordinary dissemination to discover the likelihood of a bulb enduring for between 557 and 561 hours. To do this, we ought to standardize the values utilizing the equation:

z = (x - μ) / σ

where x is the bulb lifetime we're fascinated by

, μ is the cruel(mean) lifetime,

and σ is the standard deviation.

For 557 hours:

z1 = (557 - 530) / 15 = 1.8

For 561 hours:

z2 = (561 - 530) / 15 = 2.07

Employing a standard ordinary conveyance table or a calculator with a typical dissemination work, we are able to discover the probabilities corresponding to these z-scores:

P(z1 < Z < z2) = P(1.8 < Z < 2.07)

This speaks to the likelihood of a bulb enduring between 557 and 561 hours, where Z could be a standard ordinary variable.

Employing a standard ordinary dispersion table or a calculator, we discover:

P(1.8 < Z < 2.07) ≈ 0.0382

Therefore, the likelihood of a bulb enduring for between 557 and 561 hours is roughly 0.0382 or 3.82% (adjusted to four decimal places). 

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The p-value for the hypothesis test is 0.04. This means that if the null hypothesis is true

To find the p-value, we need to conduct a hypothesis test.

The null hypothesis is that there is no difference in blood pressure before and after taking the medication:

H0: μd = 0

The alternative hypothesis is that there is a difference in blood pressure before and after taking the medication:

Ha: μd ≠ 0

where μd is the population mean difference in blood pressure before and after taking the medication.

We are given that the sample size is n = 36, the sample mean difference is ¯d = 2.4, and the sample standard deviation is s = 4.5.

We can calculate the t-statistic as:

t = (¯d - 0) / (s / sqrt(n)) = (2.4 - 0) / (4.5 / sqrt(36)) = 2.13

Using a t-distribution table with 35 degrees of freedom (df = n - 1), we find that the two-tailed p-value for t = 2.13 is approximately 0.04.

Therefore, the p-value for the hypothesis test is 0.04. This means that if the null hypothesis is true (i.e., if there is really no difference in blood pressure before and after taking the medication), there is a 4% chance of observing a sample mean difference as extreme or more extreme than 2.4. Since this p-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is evidence that the drug affects blood pressure.

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95% confident that the true difference in these proportions is between 0.118 and 0.242.

Assuming that the conditions for inference have been met, we can use the following formula to calculate a 95% confidence interval for the difference between two proportions:

(pD - pI) ± zsqrt((pD(1-pD)/nD) + (pI*(1-pI)/nI))

where pD is the proportion of adults older than 50 who do not support the attack, pI is the proportion of adults aged between 30-50 who do not support the attack, nD is the sample size of adults older than 50, nI is the sample size of adults aged between 30-50, and z* is the critical value from the standard normal distribution corresponding to a 95% confidence level, which is approximately 1.96.

Substituting the given values, we get:

(pD - pI) ± 1.96sqrt((pD(1-pD)/nD) + (pI*(1-pI)/nI))

Plugging in the values from the table, we get:

(0.46 - 0.28) ± 1.96sqrt((0.46(1-0.46)/400) + (0.28*(1-0.28)/600))

= 0.18 ± 0.062

So the 95% confidence interval for the difference between the proportion of adults older than 50 and the adults aged between 30-50, who do not support the attack, is (0.118, 0.242). This means that we are 95% confident that the true difference between these two proportions falls within this interval.

Interpreting this in context, we can say that based on the sample data, there is strong evidence to suggest that a higher proportion of adults older than 50 do not support the attack compared to adults aged between 30-50.

Specifically, we can be 95% confident that the true difference in these proportions is between 0.118 and 0.242.

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Answer:

The equation that relates distance, rate, and time is

       d  =  rt

Step-by-step explanation:

The value of the triple integral is -16.

Triple integral is a mathematical concept used in calculus to calculate the volume of three-dimensional objects. It extends the concept of a single integral to functions of three variables and integrates over a region in three-dimensional space.

The triple integral of a function f(x, y, z) over a region E in three-dimensional space is denoted by:

∭E f(x, y, z) dV

We can set up the triple integral as follows:

∫∫∫ 16y dV

Where the limits of integration are:

0 ≤ x ≤ 2

0 ≤ y ≤ (2- \(x^2\)z)/(2y)

0 ≤ z ≤ 2/\(x^{2y\)

Note that the upper bound of integration for y is not a constant, but depends on both x and z.

Integrating with respect to y first, we get:

∫∫∫ 16y dV = ∫0^2 ∫\(0^(2-x^2z)/(2x)\)∫\(0^(2/x^2y) 16y dz dy dx\)

= ∫\(0^2\) ∫\(0^(2-x^2z)/(2x) 32/x dx dz\)

= ∫\(0^2\) [16(\(2-x^2z)/x^2\)] dz

= ∫\(0^2 (32/x^2 - 16z)\) dz

= 32∫\(0^2 x^-2 dx - 16\)∫\(0^2\)z dz

= 16 - 16(2)

= -16

Therefore, the value of the triple integral is -16.

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The key difference between observational studies and experimental designs is that a well-done observational study does not influence the responses of participants, while experiments do have some sort of treatment condition applied to at least some participants by random assignment.

An observational study is used in fields such as epidemiology, social sciences, psychology, and statistics to draw conclusions from a sample to a population where the independent variable is not under the researcher's control due to ethical concerns or logistical constraints.

Observational studies involve the study of participants who have had no forced change in their circumstances, i.e., no intervention.

Although participants' behavior may change while being observed, the goal of observational studies is to look into the 'natural' state of risk factors, diseases, or outcomes.

Observational studies are those in which researchers examine the impact of a risk factor, diagnostic test, treatment, or other intervention without attempting to change who is or is not exposed to it.

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Answer:

g(f(-1)) = 64

Step-by-step explanation:

First evaluate f(-1).  Since f(x) = x - 7, f(-1) = -1 - 7 = -8.

Next, use this result as the input to g(x):  g(-8) = (-8)^2 = 64