If A=-5, then 2a=-10

The  functions  graphed is y = x²+3 at x<4 y = x+4  x≥4 , Option B is the correct answer.

A function is a mathematical statement used to correlate the value of two variables.

The function given in the image consists of piece wise function

The first part is a parabola and the second is a straight line function

The dot is filled at point 4 for the straight line while the parabola is showing that the point is not included therefore

y = x²+3 at x<4

y = x+4  x≥4

Therefore Option B is the correct answer.

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ANSWER:

Quadrant ll

________________________________

________________________________HOPE IT HELPS

Answer:

18

Step-by-step explanation:

The maximum number of software  packages Conor can buy is 15.43 .

Using this formula

Maximum number=Cash at hand/[Price+(Price× Sales tax)]

Where:

Cash at hand=$200

Price=$12

Sales tax=8%

Let plug in the formula

Maximum number=$200/[12+(12×8%)]

Maximum number=$200/(12+$0.96)

Maximum number=$200/12.96

Maximum number=15.43

Inconclusion the maximum number of software  packages Conor can buy is 15.43 .

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Answer:

Denoting 2 desired numbers: x and y, then:

x + y = 17

2x = 3y + 4

<=>

x = 17 - y

2*(17 - y) = 3y + 4

<=>

x = 17 - y

34 - 2y = 3y + 4

<=>

x = 17 - y

5y = 30

<=>

y = 6

x = 17 - 6 = 11

Hope this helps!

:)

When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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DI is generally considered to provide the highest level of control to investing firms compared to other modes of entry.

The mode of entry that offers the highest level of control to the investing firms is d. FDI (Foreign Direct Investment).

Foreign Direct Investment refers to when a company establishes operations or invests in a foreign country with the intention of gaining control and ownership over the assets and operations of the foreign entity. With FDI, the investing firm has the highest level of control as they have direct ownership and decision-making authority over the foreign operations. They can control strategic decisions, management, and have the ability to transfer technology, resources, and knowledge to the foreign entity.

In contrast, the other modes of entry mentioned have varying levels of control:

a. Contractual Agreements: This involves entering into contractual agreements such as licensing, franchising, or distribution agreements. While some control can be exercised through these agreements, the level of control is typically lower compared to FDI.

b. Joint Venture: In a joint venture, two or more firms collaborate and share ownership, control, and risks in a new entity. The level of control depends on the terms of the joint venture agreement and the ownership structure. While some control is shared, it may not offer the same level of control as FDI.

c. Equity Participation: Equity participation refers to acquiring a minority or majority stake in a foreign company without gaining full control. The level of control depends on the percentage of equity acquired and the governance structure of the company. While equity participation provides some level of control, it may not offer the same degree of control as FDI.

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To calculate the number of feet of fencing Melissa needs to enclose a square area of 5652 square feet, we need to determine the length of the sides of the square.

Since a square has four equal sides, we can find the length of one side by taking the square root of the area. In this case, the square root of 5652 is approximately 75.16 feet.

To calculate the total length of fencing needed, we multiply the length of one side by 4 (as there are four sides in a square). Therefore, Melissa would need approximately 300.64 feet of fencing (75.16 feet x 4) to enclose the square area of 5652 square feet.

It's important to note that this calculation assumes a perfect square shape with no irregularities or additional considerations such as gates or overlapping sections. Additionally, it's always a good idea to add a little extra footage to account for any errors or contingencies during installation.

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Given:

The volume of the cubic prism is 45 cubic inches.

Let the side length = x

So,

Taking the cubic root of 45

So, the answer will be the side length = 3.557 inches

Answer:

y = -7 and x = -3

Step-by-step explanation:

Substitute x for y + 4 in the first equation and solve for y

4(y+4) - 2y = 2

4y + 16 - 2y = 2

16 + 2y = 2

2y = -14

y = -7

Then in order to find x, substitute y for -7 in the second equation

x = -7 + 4

x = -3

Answer:

x= -3, y= -7

Step-by-step explanation:

substitute x=y+4 in the first equation

4 (y+4) -2y =2 distribute

4y+16-2y=2 subtract both sides by 16

4y-2y=2-16 combine like terms

2y= -14 divide both sides by 2

y=-7

x=y+4 substitute y=-7

x= -7+4

x= -3

The sum of the interior angle of the triangle is 180°. Then the value of the variable x will be 12°.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The angles of the triangle are given below.

(8x - 1)°, (3x + 4)°, and (3x + 9)°

We know that the sum of the interior angle of the triangle is 180°. Then the equation will be

(8x - 1)° + (3x + 4)° + (3x + 9)° = 180°

14x + 12 = 180°

14x = 168°

x = 12°

The value of the variable x will be 12°.

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Answer:

The median is 17 and the mode is 19

Step-by-step explanation:

Generally, a quotient of polynomials is decomposed into at least two partial fractions.

Any valid quotient of polynomials may be broken down into its component parts. When the degree of the numerator is lower than the degree of the denominator, a function is considered to be properly rational. Expressing a valid rational function as the sum of smaller fractions with certain denominators is the first step in breaking it down into partial fractions.

This decomposition can be helpful in a variety of mathematical situations, such as when solving equations involving rational functions or integrals. The denominator's factors determine the partial fractions' form. In particular, the rational function may be broken down into partial fractions with denominators matching to those factors if the denominator of the correct rational function can be factored into linear and/or quadratic irreducible components.

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The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

40.81125m²

Step-by-step explanation:

Hello!

Step 1: Rectangle

We can find the area of the rectangle by multiplying the base by the height.

Step 2: Area small semicircles

If we add the two semicircles, we can see that it's actually 1 whole circle.

So we can simply find the area of the whole circle.

radius = 1/2 * diameter

Step 3: Large semicircle

Now for the last part, the large semi-circle at the top.

Since it's half a circle, we can manipulate the formula by finding half of it.

Step 4: Total Area

Total area = 10m² + 3.14m² + 9.8125m²

                 = 40.81125m²

The correct answer is (c) between 0 and infinity. This can be answered by the concept from F statistic.

The F statistic, which is used in ANOVA (Analysis of Variance), is calculated as the ratio of the variance between groups to the variance within groups. Since variance is always a positive value (it measures the spread or dispersion of data), the F statistic will always be greater than or equal to 0.

Furthermore, the F statistic follows an F-distribution, which is a continuous probability distribution that ranges from 0 to infinity. The F-distribution has a skewed shape, with most of the values clustered towards 0 and decreasing as the values get larger. This means that the F statistic can take on values anywhere between 0 and infinity, but it cannot be negative.

Therefore, when conducting an ANOVA, FDATA will always fall within the range of 0 to infinity.

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Answer: To get from the original equation 12x+3=21x-15 to 4x+1=7x-5, Anika likely subtracted 9x from both sides of the equation.

This is because 12x - 9x = 3x and 21x - 9x = 12x, which simplifies the equation to 3x + 3 = 12x - 15.

Then, Anika likely subtracted 3 from both sides to get 3x = -18, which simplifies to x = -6.

Step-by-step explanation:

Answer:

r = 19 ft

Step-by-step explanation:

Circumference, C is given as 119.32 ft

Circumference of a circle is given by the formula, 2πr

This means that,

C = 2πr, we're told to assume that π = 3.14

So therefore,

119.32 = 2 * 3.14 * r

r = 119.32 / 6.28

r = 19 ft

The specific solution of the state space equation can be expressed as [Q] = 0.3 * cos(t) + 0.3i * sin(t) + 0.3 * cos(3t) - 0.3i * sin(3t) using Euler's representation of the complex exponential.

The given specific solution of the state space equation is expressed as [Q] = 0.3 * e^(it) - 0.3 * e^(-3it), where [Q] represents the solution and t represents time. In this equation, Euler's representation of the complex exponential is utilized, which states that e^(it) can be represented as cos(t) + isin(t), where i is the imaginary unit. Similarly, e^(-3it) can be expressed as cos(-3t) + isin(-3t).

By substituting these representations into the equation, we obtain [Q] = 0.3 * (cos(t) + isin(t)) - 0.3 * (cos(-3t) + isin(-3t)). Simplifying this expression further yields [Q] = 0.3 * cos(t) + 0.3i * sin(t) + 0.3 * cos(3t) - 0.3i * sin(3t). Hence, the solution is expressed in terms of sines and cosines using Euler's representation of the complex exponential.

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Answer:

The answer is -1.5

Step-by-step explanation:

Hope that helps.

Answer:

Step-by-step explanation:

-3/4 + (-3/4) remove parentheses

-3/4- 3/4 calculate the difference

-3/2 or - 1 1/2 or -1.5

One machine can produce 600,000 nails in one hour.

Finding the total number of nails produced by the three machines in a minute and dividing that number by three to obtain the number of nails produced by a single machine in a minute are the first two steps in the solution to this problem.

The number of nails produced by a single machine in an hour can then be calculated by multiplying that number by 60.

Now, we add up the total number of nails produced during :

(15 + 16 + 45 + 48 + 55 + 59 + 3) / 7 = 30

To find the number of nails produced by one machine in one hour, we multiply by 60: 10,000 x 60 = 600,000

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Answer:

its positive

Step-by-step explanation:

because the line going upward

Answer:

positive

Step-by-step explanation:

Answer:

the answer is 5^2

Step-by-step explanation:

The given statement is false becasue If the p-value of the coefficient of an X variable in a regression is 0.001, then it suggests that there is significant evidence that the coefficient is different from 0 in the population regression line.

A p-value is a value that represents the probability of obtaining the observed results of a statistical hypothesis test. The p-value is used as an alternative to rejection point to give the smallest level of significance at which the null hypothesis would be rejected. It can be used to test hypotheses in statistics.

If the p-value is less than the significance level (α), then the null hypothesis is rejected. However, if the p-value is greater than the significance level (α), then the null hypothesis is not rejected. Therefore, we reject the null hypothesis if the p-value is less than or equal to the level of significance.

So, if the p-value of the coefficient of an X variable in a regression is 0.001, it suggests that the coefficient is statistically significant and different from 0 in the population regression line. Hence, the statement "it is reasonable to say that the coefficient of the X variable is 0 in the population regression line" is false.

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a. Hence in first case, if the distribution is normal, Probability is 0.0077 that the sample mean hardness for a random sample of 16 pins is at least 51

b. In second, Probability is 0 that the sample mean hardness for a random sample of 44 pins is at least 51.

The mean is one of the measures of central tendency used in statistics. The average of the specified collection of numbers is what is referred to as mean. It indicates the data set's values that are distributed equally. The three most popular methods for determining central tendency are the mean, median, and mode.

To find the mean, tally up all the values listed on a datasheet, then divide that total by the total number of values. When all the values are organized in ascending order, the median is the value that falls in the middle of the data. The number in the list that is repeated a maximum number of times is the mode.

a)

Y ~ N ( µ = 50 and σ = 1.6 )

P ( Y > 51 ) = 1 - P ( Y < 51 )

Standardizing the  value

Z = ( Y - µ ) /( σ / √(n))

Z = ( 51 - 50 ) /( 1.6 / √ ( 15 ) )

Z = 2.4206

P (  ( Y - µ ) /( σ / √ (n)) > ( 51 - 50 ) /( 1.6 / √(15) )

P ( Z > 2.42 )

P ( Y > 51 )  = 1 - P( Z < 2.42 )

P ( Y  > 51 )  = 1 - 0.9923  ( from the Z table)

P ( Y   > 51 )  = 0.0077

b)

P ( Y > 51 )  =1 - P ( Y < 51 )

Standardizing the  value

Z = ( Y - µ ) /( σ / √(n))

Z = ( 51 - 50 ) /( 1.6 / √ ( 43 ) )

Z = 4.1

P (  ( Y - µ ) /( σ / √ (n)) > ( 51 - 50 ) / ( 1.6 / √(43) )

P ( Z > 4.1 )

P ( Y > 51 )  =1 - P ( Z < 4.1 )

P ( Y > 51 )  = 1 - 1

P ( Y > 51 )  = 0

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The acceleration function for the particle is a(t) = -6 m/s², which indicates a constant acceleration of -6 m/s².

Hi! To find the acceleration function of the particle, we need to first find its velocity function by taking the first derivative of the position function s(t) with respect to time t. Then, we find the acceleration function by taking the first derivative of the velocity function with respect to time t.

The given position function is s(t) = -3t^2 - 4t + 1.

First derivative (velocity function) v(t) = ds/dt = -6t - 4.

Now, we find the acceleration function by taking the derivative of v(t) with respect to time t:

a(t) = dv/dt = -6.

So, the acceleration function for the particle is a(t) = -6 m/s², which indicates a constant acceleration of -6 m/s².

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Answer:

2x+105=-3x+130

Answer:

SA=2πrh+2πr2=2·π·12·3+2·π·122≈282.7cm2

The restaurant delivery service cover the area 113.04 miles².

What is Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A fast-food restaurant offers delivery service anywhere within a 6-miles radius.

Now,

The area cover by delivery service = πr²

Here, r = 6 miles

Thus, The area cover by delivery service = πr²

                                                                 = 3.14 x 6²

                                                                 = 3.14 x 36

                                                                 = 113.04 miles²

Therefore, The restaurant delivery service cover the area 113.04 miles².

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The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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slope = 1

perpendicular slope = -1

y - y1 =m(x - x1)

y +4 = -1(x - 1)

y = -x + 1 - 4

y = -x - 3