Find the range of the function f(x) = x2 −5x for the domain

As the speed of a ship increases, the time remaining in the journey decreases

This implies that the speed of the ship is inversely proportional to the time

Therefore, this is a negative correlation because the relationship between the speed of the ship and the time remaining is not a direct one

The answer is a negative correlation

Answer:

\(6x^{2}\)-12x-90

Step-by-step explanation:

2x*3x=6x^2

2x*9=18x

3x*-10=-30x

18x-30x=-12x

-10*9=-90

The expression when the provided equation (2x-10)(3x+9) is Express as a trinomial is 3x²-12x-90.

Trinomial is the polynomial equations which consist of three terms (non-zero) and two or more than two variables.

The given expression in the problem is,

\((2x-10)(3x+9)\)

Let the trinomial of this expression is f(x). Solve, it and open the bracket  as,

\(f(x)=(2x-10)(3x+9)\\f(x)=(2x\times3x+2x\times9)-(10\times3x+10\times9)\\f(x)=(6x^2+18x)-(30x+90)\\f(x)=6x^2+18x-30x-90\\f(x)=6x^2-12x-90\)

Thus, the expression when the provided equation (2x-10)(3x+9) is Express as a trinomial is 3x²-12x-90.

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Based on the obtained chi-square value of 10.78 and the critical chi-square value of 3.841, we can conclude that there is a significant association between the two categorical variables being tested, and the null hypothesis is rejected.

A chi-square test is a statistical method used to determine if there is a significant association between two categorical variables.

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Answer:

Based on the given double box-and-whisker plot, we can see that the median growth of Type A corn seedlings is higher than the median growth of Type B corn seedlings. The median for Type A is approximately 5.4 inches, while the median for Type B is approximately 4.8 inches.

We can also compare the interquartile ranges (IQR) of each type of corn seedling. The IQR for Type A ranges from approximately 4.9 inches to 6.0 inches, while the IQR for Type B ranges from approximately 4.3 inches to 5.2 inches. This means that the middle 50% of growth measurements for Type A fall within a narrower range than for Type B, which indicates greater consistency in growth.

Therefore, based on the information provided by the double box-and-whisker plot, Type A corn seedlings appear to grow taller on average and with greater consistency compared to Type B corn seedlings. However, it's important to note that this conclusion is based solely on the limited sample data presented in the plot, and other factors could influence the actual growth rates of these corn seedlings in real life.

Answer:

vv

Step-by-step explanation:

vcsdg bbhhddhhhgfv vghjfdy

Answer:

1) answer is 7

2) answer is 8

Answer:

B. x² + 4

Step-by-step explanation:

(0+/-√-16)2

+/- 4i / 2

+/- 2i

Answer:

B

Step-by-step explanation:

(x + 2i)(x - 2i)

= x² - 2ix + 2ix - (2i)²

= x² - 4i²

= x² -4(-1)

= x² + 4

If h(x) = f(x)g(x) and h'(x) = f(x)g'(x), then f(x) = 1.

Let f and g be differentiable functions such that g(x)>0 for all x and f(0)=1.

We can then write h(x) = f(x)g(x). Taking the derivative of h(x) with respect to x, we get:

h'(x) = f'(x)g(x) + f(x)g'(x)

Since h'(x) is equal to f(x)g'(x), then we can cancel out f(x)g(x) from both sides to get:

f'(x)g(x) = 0

Since g(x) is always greater than 0, this implies f'(x) = 0. This means that f(x) is a constant function. Since f(0) = 1, then f(x) = 1 for all x.

Therefore, if h(x) = f(x)g(x) and h'(x) = f(x)g'(x), then f(x) = 1.

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The  the dimension of the smallest area of the poster is 40 cm by 60 cm

Let the dimensions of the poster be x and y.

So, the area is:

area = xy

The area is given as 2400 cm^2.

So, we have:

xy = 2400

The printed area is represented as:

area = (x - 2(15))(y - 2(10))

area = (x - 30)(y - 20)

Make x the subject in

xy = 2400

x = 2400/y

Substitute 2400/y for x in

area = (2400/y - 30)(y - 20)

Express as:

area = (2400/y - 30)(y - 20)

Expand

area = 2400 - 48000/y - 30y + 600

Differentiate

A' = 48000y⁻² - 30

Set to 0

48000y⁻² - 30 = 0

48000y⁻² = 30

Multiply both sides by y^2

48000 = 30y²

Divide both sides by 30

y² = 1600

Take square roots

y = 40

x = 2400/40

x = 60

Hence, the dimension of the smallest area of the poster is 40 cm by 60 cm

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Answer:

Heeeeey :)

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

Let

x = initial fee

y = fees depending on the amount of data he use

After using 3 GB of data , he owes $30.

After using 5 GB of data , he owes $40.

The equations are

x + 3y = 30 (1)

x + 5y = 40 (2)

Subtract (1) from (2) to eliminate x

5y - 3y = 40 - 30

2y = 10

Divide both sides by 2

y = 10/2

y = $5

Substitute y = 5 into (1)

x + 3y = 30

x + 3(5) = 30

x + 15 = 30

x = 30 - 15

x = $15

Cost per GB of data = $5

To write three radical expressions that simplify to -2x², we can use the concept of raising a number to a fractional exponent.

By using fractional exponents, we can express the square root of a number as a power. Here are three possible radical expressions:
1. (-2x²)^(1/2): This expression represents the square root of -2x². When we raise -2x² to the power of 1/2, it simplifies to √(-2x²), which is equal to ±i√(2x²). Here, i represents the imaginary unit.

2. (-2x²)^(2/4): This expression represents the fourth root of -2x². By raising -2x² to the power of 2/4, we can simplify it as (√(-2x²))^2. This further simplifies to (±i√(2x²))^2, which is equal to -2x².

3. (-2x²)^(3/6): This expression represents the sixth root of -2x². Raising -2x² to the power of 3/6 simplifies it as (∛(-2x²))^3. This can be further simplified to (±∛(2x²))^3, which is again equal to -2x². Three radical expressions that simplify to -2x² are (√(-2x²)), (√(-2x²))^2, and (∛(-2x²))^3. These expressions represent different roots (square root, fourth root, and sixth root) of -2x² and all simplify to -2x².

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Answer:

There is no image or context

Step-by-step explanation:

Sorry, message me back. I am sure I can asnwer your question.

157 = .166 x

157/0.166 = x

945.78313253 = x

157 is 16.6% of 945.78313253, which rounds to 946.

The 157 is approximately 16.6% of 945.78313253012 rounded to the nearest decimal place.

To find the number that 157 is 16.6% of,  set up the following equation:

16.6% = 0.166 (since percentages expressed as decimals)

0.166 × x = 157

To isolate x, we divide both sides of the equation by 0.166:

x = 157 / 0.166

Simplifying the division:

x ≈ 945.78313253012

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Answer:

4/1

Step-by-step explanation:

The slope of the line is y/x or rise/run. The line increases in height (y) by 4, while it only travels (x) 1. The line travels 4y in the time it takes to travel 1x. 4/1 (or just 4)

The solution to the system of equations is x = 8/3 and y = 41/43.

To find the solution for the given system of equations, we can use the method of substitution or elimination. Let's use the method of elimination:

Given equations:

3x + 2y = 22 ---(1)

-x + 15y = 21 ---(2)

To eliminate one variable, we can multiply equation (2) by 3 and equation (1) by -1, then add the resulting equations:

-3x + 45y = 63 ---(3) (multiplying equation (2) by 3)

-3x - 2y = -22 ---(4) (multiplying equation (1) by -1)

Adding equations (3) and (4) eliminates the x variable:

43y = 41

Dividing both sides by 43 gives us:

y = 41/43

Now we can substitute this value of y into either equation (1) or (2). Let's use equation (1):

3x + 2(41/43) = 22

Multiplying both sides by 43 to eliminate the fraction:

129x + 82 = 946

Subtracting 82 from both sides:

129x = 864

Dividing both sides by 129:

x = 864/129

Simplifying:

x = 8/3

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Answer:

39 tons

Step-by-step explanation:

35 + 4 = 39

Answer:

the answer is 36

Step-by-step explanation:

So, in order to round properly, anything under 4 goes down to zero and anything 5 or above goes UP to the nearest zero. it all depends on your desired number that you're rounding to.

EX: 69.436

hundredth place-   69.44

tenths place - 69.4

whole #-   69

hope this makes sense, youll get it eventually, i promise

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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On solving the provided question, we can say that in the triangle If AL = 2, LS = 6,LM =  4, and ST=x+ 2,  as its given, M is the mid point and LM || ST , ST = 4

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.]

in the triangle

If AL = 2, LS = 6,LM =  4, and ST=x+ 2,

as its given, M is the mid point and LM || ST

so LM = ST

4 = (x + 2)

2 = x

ST = 4

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Tyler will have ridden the bus 135 days once school is out for summer.

If Tyler rides the bus home from school 3 days every week, and there are 45 weeks in the school year, we can calculate the total number of bus-riding days by multiplying the number of days per week by the number of weeks:

If Tyler rides the bus home from school 3 days every week and the school year lasts for 45 weeks, the total number of days he will have ridden the bus can be calculated by multiplying the number of days per week (3) by the number of weeks (45). Therefore, Tyler will have ridden the bus for a total of 135 days once school is out for summer.

3 days/week * 45 weeks = 135 days

Therefore, Tyler will have ridden the bus 135 days once school is out for summer.

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Answer:

(2y+3) (3y-7)

hope it helps;)

Answer:

(2y+3)*(3y-7)

Step-by-step explanation:

6y^2+9y-14y-21

3y(2y+3)-7(2y+3)

(2y+3)*(3y-7)

The sample mean is significantly different from 10 at a 0.1 significance level.

The null hypothesis is a statement about the population parameter that we are testing, and the alternative hypothesis is the complement of the null hypothesis. The significance level is the probability of rejecting the null hypothesis when it is true.

In this case, we can use the following null and alternative hypotheses:

Null hypothesis: The population mean is equal to 10.

Alternative hypothesis: The population mean is not equal to 10.

We will use a two-tailed test because the alternative hypothesis is not directional.

We can use the t-test to test the null hypothesis. The t-test statistic is calculated as follows:

t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))

In this case:

\(t = (11 - 10) / (3.2 / \sqrt{10} ) = 1.58\)

We need to find the critical value of t at the 0.1 significance level with 9 degrees of freedom (10 - 1 = 9). We can use a t-table or a statistical software to find this value. The critical value is ±1.833.

Since the calculated t-value of 1.58 is not greater than the critical value of ±1.833, we cannot reject the null hypothesis. We do not have sufficient evidence to conclude that the population mean is different from 10 at the 0.1 significance level.

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Outliers or extreme skewness in the distribution of pumpkin weights would be clear signs that they are not normally distributed.

There are several signs that can indicate the pumpkin weights are not normally distributed based on the farmer's sample of 20 pumpkins with a mean weight of 26 lb.

Skewed Distribution: If the distribution of pumpkin weights is noticeably skewed, it suggests a departure from normality. Positive skewness occurs when the tail of the distribution is stretched towards higher values, indicating a higher number of lighter pumpkins.

Negative skewness is the opposite, with a tail stretched towards lower values, suggesting a higher number of heavier pumpkins.

Outliers: The presence of extreme values that deviate significantly from the majority of the data can be a clear sign of non-normality. If there are a few pumpkins with exceptionally high or low weights compared to the rest, it indicates the presence of outliers and a potential departure from a normal distribution.

Bimodal or Multimodal Distribution: If the pumpkin weights exhibit multiple peaks or modes instead of a single bell-shaped curve, it suggests a non-normal distribution. This could indicate the presence of distinct subpopulations of pumpkins with different weight ranges.

Non-linear Patterns: If there is a distinct non-linear pattern or trend in the data, it deviates from a normal distribution. For example, if there is a systematic increase or decrease in weights as the pumpkin size increases, it suggests a departure from normality.

Departure from the 68-95-99.7 Rule: In a normal distribution, approximately 68% of the data falls within one standard deviation from the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations. If the sample data significantly deviates from these percentages, it indicates a departure from normality.

It is important to note that these signs alone do not definitively prove that the pumpkin weights are not normally distributed. Further statistical tests such as the Shapiro-Wilk test, Anderson-Darling test, or visual inspections of a histogram, Q-Q plot, or kernel density plot can provide more evidence to assess the distributional assumption.

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Answer:

The rate change between these points is 3.

Step-by-step explanation:

Answer:

Rate of Change is 3

Step-by-step explanation:

The rate of change between two points is called the 'slope'.

x1-x2         -6-8          -14

____  =      ____  =   ___  = Divide  = 3

y1-y2      -20 - 22      -42

0.7 is greater than 0.07, as the decimal place value indicates. 7.52 is greater than 3 based on the decimal value comparison.

The comparison between 0.7 and 0.07 is reasonable. It is evident that 0.7 is greater than 0.07. The decimal point indicates the place value, and in this case, the difference in the tenths place (0.7) and hundredths place (0.07) clearly shows that 0.7 is a larger value.

On the other hand, the comparison between 3 and 7.52 is not reasonable. It is incorrect to claim that 3 is greater than 7.52. In the decimal system, the whole numbers are on the left side of the decimal point and the decimal fractions are on the right side. When comparing numbers, we start with the whole number part and move to the right, comparing each decimal place one by one. In this case, the digit 7 in 7.52 is greater than 3, and the decimal places further reinforce that 7.52 is a larger value than 3.

In summary, the comparison between 0.7 and 0.07 is reasonable as it aligns with the principles of decimal place value. However, the comparison between 3 and 7.52 is not reasonable, as 7.52 is greater than 3.

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Answer:

It equals one

Step-by-step explanation: Anything that has the exponent of 0 will always equal one

So, with percentages the easiest way is to multiply the 42200 by 0.11. After that you get (4642.00) < Answer to A  so you add 42200 to 4642 to get the new price. That should bring you to (46842.0) < Answer to B

Answer:

A. 400

Step-by-step explanation:

answer^

432 people rode the roller coaster in the third hour.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

We have,

182 people rode the roller coaster.

307 people rode the roller coaster.

A total of 921 people had ridden the roller coaster.

So, Number of people rode the roller coaster

= 921 - 182 - 307

= 432

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