140%of 138.6 is what

The formula for slope is,

The value of the expression is 1/(9x)^2

From the question, we have the following parameters that can be used in our computation:

(-9x)^-2

We can write the expression without negative exponents by using a fraction with a positive exponent:

(-9x)^-2 = 1/(-9x)^2

And without parentheses, this expression becomes:

1/(9x)^2

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The temperature of the room we get by using Newton’s Law of Cooling is 75 degrees.

Given that the temperature of the soup was initially 120 degrees. Its temperature was 105 degrees after 10 minutes. It reached a temperature of 95 degrees after an additional ten minutes.

We need to estimate the temperature of the room.

According to the Newton's law of cooling temperature T(t) after time t is given by:

\(\mathrm{T(t) = T_s + (T_0 - T_s)e^{kt}}\)

Where,

\(\mathrm{T_0}\) = initial temperature [120 degree]

\(\mathrm{T_s}\) = surrounding temperature

k = constant

Plugging the values;

\(105 = \mathrm{T_s + (120 - T_s)e^{10k}}}\)

\(\mathrm{e^{10k}} = \mathrm{\frac{105 - T_s}{120 - T_s} }\)

Similarly,

\(95 = \mathrm{T_s + (105 - T_s)e^{10k}}}\)

\(\mathrm{e^{10k}} = \mathrm{\frac{95 - T_s}{105 - T_s} }\)

Equating the equations,

\(\mathrm{\frac{95 - T_s}{105 - T_s} } = \mathrm{\frac{105 - T_s}{120 - T_s} }\)

Solving the equations,

\(\mathrm{\frac{225-2T_s}{-15} } = \mathrm{\frac{200-2T_s}{-10} }\)

Multiplying by -30,

\(\mathrm{2(225-2T_s)} = \mathrm{2(200-2T_s)}\)

\(\mathrm{2T_s = 150}\)

\(\mathrm{T_s = 75}\)

Hence the temperature of the room was 75 degrees.

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Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4 groups of 4, or 4x4=16.

16 in eight groups, or 16/8 is 2.

The value of x is equal to 0.8603 units.

In order to determine the adjacent side (value of x), we would apply the law of tangent because the given side lengths represent the opposite side and angles of a right-angled triangle.

tan(θ) = Opp/Adj

Where:

Based on the information provided in the image, we can logically deduce the following parameters:

Adj = x units.

Opp = 8.3 units.

By substituting the parameters into the tangent ratio formula, we have the following;

Tan16 = 8.3/x

x = 3tan16

x = 0.8603 units.

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The value of k is 1/4.

According to the statement

we have given

The equation of parabola is y=k−x2

And tangent to the line of equation is y = x

and we have to find the value of K.

So, let y=k−x2  -(1)

and let  y = x  -(2)

(2) is the tangent to the (1) then

therefore they cut at

y=k−x2  -(1)

y = x  -(2)

so, put (2) in the (1) then

x = k- (x)^2

(x)^2 + x = k

The above written equation has one real number then for this D =0

so, (x)^2 + x - k = 0

-1 -1*4*k = 0

-1 - 4k = 0

-4k = 1

The value of k is -1/4.

So, The value of k is 1/4.

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Answer:

17+3 = 20

Step-by-step explanation:

Answer:

17+3 = 20

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

54 minutes

Answer:

54 minutes

Step-by-step explanation:

20+ 40 = 60

40+ 14 = 54 minutes

You flew for 54 minutes.

Answer:

D. Zero hopefully it helps :)

160 bc the real answer is 16 but rounded to nearest 100 that's it

Answer:

40b

Step-by-step explanation:

40b-56+56

40b

hope this helps

Answer:0

Step-by-step explanation: I had used my Scientific calculator

Answer:

x=31

Step-by-step explanation:

If the lines are parallel then the angle that is the same corner has the same degrees. If all the lines are parallel then 140=4x+16

140-16=4x

124=4x

124÷4=x

31=x

Answer:

Here we have the equation:

y = 4*x^2 - 4*x - 1

And we should have the graph (you can see it below this answer)

Now we want to find the solutions of:

4*x^2 - 4*x - 1 = 0

These solutions will be the two values of x at which the graph of our function intersects the line y = 0, that is the x-axis.

Then we need to find the two values of x at which our graph intersects the x-axis.

In the graph, we can estimate the solutions as:

x = -0.2

x = 1.2

To find the exact solutions we can use the Bhaskara's equation, and we will find that the solutions are given by:

Then the two solutions are:

x = (4 + 5.66)/8 = 11.2075

x = (4 - 5.66)/8 = -0.2075

Step-by-step explanation:

An appropriate statement of the null hypothesis, H₀ is that: A. The proportion of contaminated wrist-watches from medical personnel is the same as the proportion of contaminated wrist-watches from security guards, i.e., H0: p = 46.6%.

In Mathematics, a null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (Ha) and it asserts that two (2) possibilities are the same.

For an experiment to test the contamination of medical personnel wrist-watches at a New York hospital, the appropriate null hypothesis and alternative hypothesis would be given by this mathematical expression:

H₀: p = 10.

Ha: p < 10.

In this context, we can logically that the proportion of contaminated wrist-watches would be the same for both sample proportion i.e., H₀: p = 46.6%.

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Answer:

The number of pounds of food harvested by each employee is proportional to the number of hours worked

Step-by-step explanation:

The point that is not a point on the circle is (0, 2)

Option A is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The equation of a circle is given by (x - h)² + (y - k)² = r²

Where (h, k) is the center of the circle and r is the radius of the circle.

Now,

(h, k) = (-2, 1)

r = 2

The equation of the circle.

(x - h)² + (y - k)² = r²

(x + 2)² + (y - 1)² = 4

Check whether the points satisfy the equation of the circle.

(0, 2)

(0 + 2)² + (2 - 1)² = 4

4 + 1 = 4

5 = 4

Not possible.

(-2, -1)

(x + 2)² + (y - 1)² = 4

(-2 + 2)² + (-1 - 1)² = 4

0 + (-2)² = 4

4 = 4

This is true.

(-4, 1)

(x + 2)² + (y - 1)² = 4

(-4 + 2)² + (1 - 1)² = 4

-2² + 0 = 4

4 = 4

This is true.

(-2, 3)

(x + 2)² + (y - 1)² = 4

(-2 + 2)² + (3 - 1)² = 4

0 + 2² = 4

4 = 4

This is true.

Thus,

(0, 2) is not a point on the circle.

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The rate at which the water level is rising when the water level is 6 cm is approximately 2.67 cm/s. if an inverted pyramid is filled with water at a constant rate of 55 cubic centimeters per second, the top of pyramid is in square shape with length of 8 cm and height of 14 cm.

Let's call this rate "r".

Volume of pyramid = (1/3) * base area * height

Since the pyramid has a square base, the base area is given by

Base area = (side length)^2

Substituting the given values

Base area = (8 cm)^2 = 64 cm^2

Height = 14 cm

V = (1/3) * 64 cm^2 * 14 cm = 298.67 cm^3

We know that the water is being added to the pyramid at a constant rate of 55 cm^3/s. Therefore, the rate at which the volume is increasing is

dV/dt = 55 cm^3/s

We also know that the volume of water in the pyramid at any given time is given by

V_water = (1/3) * base area * h_water

where h_water is the height of the water at that time.

To find the rate at which the water level is rising (r), we need to find dh_water/dt. We can do this by taking the derivative of both sides of the equation for V_water with respect to time

dV_water/dt = (1/3) * base area * dh_water/dt

Substituting the known values

dV_water/dt = (1/3) * (8 cm)^2 * dh_water/dt

dV_water/dt = (64/3) cm^2 * dh_water/dt

dh_water/dt = 3 * dV_water/dt / 64

dh_water/dt = 3 * 55 cm^3/s / 64 = 2.67 cm/s

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In conclusion, we find evidence of significant differences in hardness measurements between the four types of tips, based on the one-way ANOVA. The LSD method can be used to investigate specific differences between pairs of means.

The residuals appear to be randomly distributed and normally distributed, indicating that the assumptions of the ANOVA are reasonable.

To determine if there is a difference in hardness measurements between the tips, we can conduct a one-way ANOVA with the null hypothesis that the mean hardness measurements are equal for all four tips and the alternative hypothesis that at least one mean is different.

We can use Fisher's LSD method to investigate specific differences between the tips. The LSD method tests for significant differences between any pair of means using the formula:

LSD = tα(ν) × SE

where tα(ν) is the critical value of the t-distribution with α level of significance and (n-1) degrees of freedom, and SE is the standard error of the means, which is calculated as:

SE = √(MSE/n)

where MSE is the mean square error from the ANOVA and n is the sample size for each group.

First, we can perform the one-way ANOVA using software or a calculator. The results show that the F-statistic is significant at the 0.05 level with p-value < 0.05, which indicates that we reject the null hypothesis and conclude that there is at least one significant difference between the means.

Next, we can calculate the LSD for α = 0.05 and degrees of freedom (n-1) = 12 using the formula above. We obtain:

LSD = 2.179 × √(2.695/4) = 1.31

The LSD value indicates that if the difference between any two means is greater than 1.31, we can conclude with 95% confidence that the two means are significantly different.

To analyze the residuals, we can plot the residuals versus the fitted values and check for patterns or non-constant variance. We can also perform a normal probability plot of the residuals to check for normality.

The residual plot shows no clear patterns or trends, and the points appear to be randomly scattered around zero. The normal probability plot shows that the residuals follow a roughly straight line, indicating that they are approximately normally distributed.

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In order to reflect a point over the y-axis, we just need to change the signal of its x-coordinate.

So for the point (3, 7), the reflection over the y-axis would be (-3, 7).

Therefore we have:

Blank 1: -3

Blank 2: 7

Answer:

2:7

Step-by-step explanation:

There are 4 boys and 14 total students (# of boys + # of girls). Therefore, the ration that compares boys to total number of students is 4:14 which is 2:7 in simplest form.

Hope this helps :)

Step-by-step explanation:

61 and 67 are the prime numbers between 60 and 70

There is a 38.51% probability that a randomly chosen applicant will score between 550 and 650 which is derived through standard normal distribution method.

It is given to us that the scores of the applicants for graduate school are normally distributed with -

Mean(μ) = 560

and, Standard deviation (σ) = 90

We have to find out the probability of a randomly chosen applicant will score between 550 and 650.

We have to use the standard normal distribution method in order to find out the required probability.

According to standard normal distribution curve method,

Z = (X-μ)/σ

=> Z = (550-560)/90 and, Z = (650-560)/90

=> Z = -0.11 and Z = 1.00

The probability will be with respect to the corresponding z-tables which is equal to = (0.3413+0.0438)

= 0.3851

Thus, the probability of a randomly chosen applicant will score between 550 and 650 is 0.3851 or 38.51%.

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Answer:

answer is B

Step-by-step explanation:

Answer:

it really is B.5x2y5z

Step-by-step explanation:

got it right on edge

Answer:

(-2, 4)

Step-by-step explanation:

If you look at the quadrants on the graph, you could see that quadrant I holds only positive values (+, +). For quadrant II, it would hold (-, +) values. For quadrant III, it would hold (+, -) values. Lastly quadrant IV would hold (-, -) values.

So to answer the question, only (-2, 4) would be correct.

I also attached a graph of all the quadrants for you, just to understand the where all the positive and negative values are on the graph when it comes to quadrants.

Hope this helped!

-Bob Ross

Answer: B, C, D, & E

The standard deviation of the given population is 7.72.

What is population?

All of the components of the data set are included in the population, as are parameters like mean and standard deviation that can be used to measure the population. The term "population" denotes the complete group of individuals, things, events, etc.

Given data,

                   53, 36, 36, 44, 31

We know that,

Standard deviation of a population is given by :

= √ [ ∑ ( X - ц )²/N

Where, X = each data point

            ц = mean of data of population

            N = No. of data points in population = 5

We need mean,

So, mean of data of population = (53 + 36 +36 +44 + 31)/5

                                                    = 40.

So, By applying formula :

SD = √ [ ∑ ( X - ц )²/N ]

      = √1 / 5 [ (40-53)² + (40-36)² + (40-36)² + (40-44)² + (40-31)²

      = √ ( 169 + 16 + 16 + 16 + 81 )/5

      = √298/5

      =7.72.

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a) Using the slope-intercept equation, after 4 years of working at the new company, Nachelle's salary will be $73,000 per annum.

b) After t years of working at the new company, Nachelle's salary will be $57,000 + $4,000(t).

The slope-intercept equation is in the form of y = mx + b.

The slope intercept describes the equation of a straight line, where m is the slope of the line, y and x are the y and x coordinates, and b is its y-intercept.

Initial starting salary per year = $57,000

Annual raise in salary = $4,000

Period = 4 years

Salary after 4 years = $73,000 [$57,000 + $4,000(4)]

Salary after t years = $57,000 + $4,000(t)

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ok                                                         its 11 sqrt 6                                    

because if sqrt 6 is x, and 5x +6x=11x

so its 11 sqrt 6