Please help will park brainiest

3230 Kilograms of the soil supplement are required for the entire Vineyard.

Some units that need to be recalled are as follows:

1 km = 1000 m

1 km^2 = 1000000 m^2

1 km^2 = 247 acres

1 kg = 1000 g

Let's tackle the problem now:

A vineyard has 145 acres of Chardonnay grapes.

145 acres = \(\frac{145}{247}\)× 1 km^2

145 acres = 145/247 km^2

145 acres ~ 0.587 km^2

A particular soil supplement requires 5.50 grams for every square meter of vineyard

1m^2 → 5.50 gram

1 km^2 = 10^6 →5.50 x 10^6 gram

1 km^2 →5.50 x 10^6 x 10^-3 kg

1 km^2 →5.50 x 10^3 kg

145 acres = 145/247 km^2 →145/247 x 5.50 x 10^3 kg

145 acres → 797500/247 kg

145 acres → 3230 kg

It required 797500/247 kg ~ 3230 kg of the soil supplement for the entire Vineyard.

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As per the median, the set of data that fulfilling Marjane's requirement is 24, 25, 25, 25, 26, 26 (option c).

In statistics, data is a collection of numbers or values that represent a particular phenomenon. One way to measure central tendency, or the typical or representative value of the data, is through the median and the mode.

The median is the middle value when the data is arranged in numerical order, and the mode is the value that appears most frequently.

The third set of data is 24, 25, 25, 25, 26, 26.

The median is the middle value, which is also (25+25)/2 = 25.

The mode is the value that appears most frequently, which is 25.

Therefore, the mode and median are the same, fulfilling Marjane's requirement.

Therefore, the correct option is (c).

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Answer:

3.61cm^2

Step-by-step explanation:

1.9 * 1.9 = 3.61

If the random variable Y follows a normal distribution with a mean of 4 and a variance of 16, then the distribution of Y for a sample size of n=400 is also a normal distribution with the same mean but a reduced variance.

The distribution of Y is a normal distribution, also known as a Gaussian distribution or a bell curve. It is characterized by its mean (μ) and variance   (\(\sigma ^2\)). In this case, Y~(4,16) implies that Y follows a normal distribution with a mean (μ) of 4 and a variance (\(\sigma ^2\)) of 16.

When we consider a sample of size n=400, the distribution of the sample mean (Y-bar) is also approximately normal. The mean of the sample mean (Y-bar) will still be 4, as it is an unbiased estimator of the population mean. However, the variance of the sample mean (Y-bar) is reduced by a factor of 1/n compared to the population variance. In this case, the variance of the sample mean would be 16/400 = 0.04.

Therefore, if we consider a sample of size n=400 from the population distribution Y~(4,16), the distribution of the sample mean would follow a normal distribution with a mean of 4 and a variance of 0.04.

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We want to know the mistake is doing Andrew when he tries to draw a copy of ∆ABC using the vector v.

We see that the vector v is directed 3 units to the right, and 3 units down.

For translating the triangle ABC with the vector v, we should make the translation with every point of the triangle.

This means that you move the point A 3 units down and 3 units to the right, but Andrew just moved it 2 units down, and 3 units to the left. Also, we have:

0. The point B was moved two units down and four units to the right.

1. The point C was moved three units down, and three units to the right

Thus, Andrew didn't move correctly the points A and B.

Answer:

Step-by-step explanation:

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Answer:

The Answer is 4. it is two times larger.

Step-by-step explanation:

The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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The total time she spends playing soccer in a year is 104 hours, which is calculated using the concept of fraction and arithmetic operations.

What is a fraction?

Any numerical number which does not represent the entire quantity is called a fraction. It depicts a part or portion of something. It is generally written in the form of numerator by denominator.

Calculation of the total time Yolanda spends playing soccer

Given that Yolanda plays soccer for 8 ⅔ hours in a month

Firstly, convert the hours in mixed fraction to improper fraction i.e. 8 ⅔ = (8 × 3 + 2) / 3

= 26 / 3

Now, we need to calculate the no. of hours she played in a year, which is done by multiplying the obtained improper fraction with 12

i.e. (26 / 3) × 12

= 104 hours

Hence, Yolanda spends 104 hours a year playing soccer.

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The exact probability cannot be determined without additional information such as the average daily sales rate.

To find the probability of selling more than 250 gallons, we need to find the cumulative distribution function (CDF) of the number of gallons sold, which is the probability of selling a certain amount or less. Since the amount sold follows a Poisson distribution with an average of 200 gallons, the CDF can be calculated using the Poisson cumulative distribution function formula:

P(X <= x) = e^(-μ) * (μ^x) / x!

Where μ is the average number of gallons sold and x is the amount sold. To find the probability of selling more than 250 gallons, we subtract the CDF for 250 gallons or less from 1. This gives us the probability of selling more than 250 gallons.

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Step-by-step explanation:

To calculate the interest earned, we can use the formula:

Interest = Principal x Rate x Time

where Principal is the amount invested, Rate is the interest rate, and Time is the time period in years.

In this case, the Principal is $2000, the Rate is 3%, and the Time is 2 years.

So,

Interest = $2000 x 0.03 x 2 = $120

Therefore, the interest earned is $120.

To find the total value of the account after 2 years, we can add the interest earned to the principal:

Total value = Principal + Interest = $2000 + $120 = $2120

Therefore, the total value of the account after 2 years is $2120.

The dimensions that yield the box with the largest volume are 5√2 inches by 5√2 inches by 5√2 inches.

To maximize the volume of the box, we need to determine the dimensions that will use up all 100 square inches of material while maximizing the volume of the box. Let the length, width, and height of the box be denoted by x, y, and z, respectively.

From the given information, we know that the surface area of the box is 2(xy + xz + yz) = 100, which simplifies to xy + xz + yz = 50.

The volume of the box is V = xyz, so we need to find the maximum value of V subject to the constraint xy + xz + yz = 50.

We can use Lagrange multipliers to solve this optimization problem. Let

f(x, y, z) = xyz

g(x, y, z) = xy + xz + yz - 50

The Lagrangian function is

L(x, y, z, λ) = f(x, y, z) - λg(x, y, z) = xyz - λ(xy + xz + yz - 50)

Taking partial derivatives with respect to x, y, z, and λ and setting them equal to zero, we get the following system of equations:

yz - λ(y + z) = 0

xz - λ(x + z) = 0

xy - λ(x + y) = 0

xy + xz + yz - 50 = 0

Solving this system of equations yields

x = y = z = 5√2

Therefore, the dimensions that yield the box with the largest volume are 5√2 inches by 5√2 inches by 5√2 inches.

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Answer:  The surface area of the object is approximately 0.0166 square meters.

Step-by-step explanation:

The heat absorption rate is given by the formula:

Q = εσA(T^4 - T0^4)

where Q is the heat absorption rate, ε is the emissivity, σ is the Stefan-Boltzmann constant (5.67 x 10^-8 W/(m^2 K^4)), A is the surface area of the object, T is the temperature of the object, and T0 is the temperature of the surroundings.

For A, we have:A = Q / (εσ(T^4 - T0^4))

Plugging in the values, we get:

A = 1.23 / (0.688 * 5.67E-8 * (354^4 - 294^4))A ≈ 0.0166 m^2

Therefore, the surface area of the object is approximately 0.0166 square meters.

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Answer:

35% I had the same question on a test yesterday...YEAH hehe hope this helps!

Answer:

35%

Step-by-step explanation:

Answer:

f(x) = 12x³ + 11x² - 43x + 21

Step-by-step explanation:

given the product of factors

(4x - 3)(3x² + 5x - 7)

multiply each term in the second factor by each term in the first factor, that is

4x(3x² + 5x - 7) - 3 (3x² + 5x - 7) ← distribute parenthesis

= 12x³ + 20x² - 28x - 9x² - 15x + 21 ← collect like terms

= 12x³ + 11x² - 43x + 21

then the polynomial is

f(x) = 12x³ + 11x² - 43x + 21

The expression for dw/dt is \(e^(^t^-^1^)\)- (ln t + 1)cos(t ln t).

To find dw/dt, we need to use the chain rule of differentiation and differentiate each term with respect to t.

First, we can substitute the given expressions for x, y, and z into the expression for w:

w = z - sin(xy) = \(e^(^t^-^1^)\) - sin(t ln t)

Now we can differentiate w with respect to t using the chain rule:

dw/dt = d/dt(\(e^(^t^-^1^)\)) - d/dt(sin(t ln t))

To find d/dt(\(e^(^t^-^1^)\)), we can use the chain rule:

d/dt(\(e^(^t^-^1^)\)) = d/dt(\(e^u\)) where u = t-1

= d/dt(u) * d/du(\(e^u\)) = 1 *\(e^(^t^-^1^)\) = \(e^(^t^-^1^)\)

To find d/dt(sin(t ln t)), we can also use the chain rule:

d/dt(sin(t ln t)) = d/dt(sin(u)) where u = t ln t

= d/dt(u) * d/du(sin(u)) = (ln t + 1) * cos(t ln t)

Putting it all together, we have:

dw/dt = \(e^(^t^-^1^)\) - (ln t + 1)cos(t ln t)

Therefore, the expression for dw/dt is \(e^(^t^-^1^)\) - (ln t + 1)cos(t ln t).

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The relationship between the angle of depression and the distance between the dock and anchor is θ = cos⁻¹(172/q)

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle of depression and q the distance between the end of the dock and the anchor, hence:

cosθ = 172 / q

θ = cos⁻¹(172/q)

when q = 205 m, θ = cos⁻¹(172/205) = 33⁰

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Answer:

asd

Step-by-step explanation:

Answer:

a) The vertex will be at (-2, -1), and the parabola will look like a smiley face. 5 points on the parabola would be: (3, 24), (-3, 0), (2, 15), (-1, 0) and (1, 8).

b) The focus will be at (-2, 0), the directrix will be at y = -2, and the axis of symmetry will be at x = -2.

Step-by-step explanation:

a) The vertex (-2, -1) can be found by first setting the parentheses (x+2) equal to zero and solving to get the x value -2, then setting x equal to zero and solving to get the y value of -1.  

The parabola will be pointing up on both ends because the equation for it is positive (given 1 multiplied by parentheses) and it has a degree of 2.

The xy table to find the points would look like this:

x       |         y

3       |      24

-3       |        0

2       |       15

-1        |        0

1        |        8

b) The focus is one unit above the vertex, so the y value increases by 1. The directrix is a line 1 unit below the vertex, so its y value is 1 less than the vertex's. The axis of symmetry is the same as the x value of the vertex with infinite y values.

Answer:

8,748

Step-by-step explanation:

f(x) = \(12(3)^{x}\)

f(6) = \(12(3)^{6}\) = 12 × 9³ = 12 × 729 = 8,748

The given pair of events are independent when your first coin flip results in heads. and your second coin flip results in heads.

Events that occur independently of any other events are referred to as independent events. if we flip a coin in the air and get the head, we will then flip the coin again, but this time we will get the tail. The occurrence of both events is unrelated in either instance. Tossing the coin the first time does not affect the outcome of the second toss.

Note that the events are not mutually exclusive as it is possible that both the first and the second toss are headed.

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Answer:

\((-\frac{3}{4})^1^0\)

Step-by-step explanation:

\(((-\frac{3}{4} )^5)^2\)

==> simplify using the power of a power rule

\((-\frac{3}{4})^1^0\)

Power of a power rule

\((x^a)^b=x^a^*^b\)

explanation of rule : multiply the two powers and keep the base the same

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

\(x^2-4x-8=0\)

Comparing \(ax^2+bx+c=0\)

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

\(x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}\)

(The numbers you need to fill in the blanks are in bracket)

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

Step-by-step explanation:

The relation between intercepted arcs and angles at crossing chords can be used to find the angles of interest. That relation tells you the angle where the chords cross is half the sum of the intercepted arcs.

The arcs intercepted by the chords making angle 1 are given as 53° and 47°. Half their sum is the measure of angle 1:

  ∠1 = (53° +47°)/2 = 100°/2

  ∠1 = 50°

Angles 1 and 2 form a linear pair, so angle 2 is the supplement of angle 1.

  ∠2 = 180° -∠1 = 180° -50°

  ∠2 = 130°

Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.

The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.

By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:

m∠1 = ½(53 + 47)

m∠1 = ½(100)

m∠1 = 50°.

Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:

m∠1 + m∠2 = 180°

m∠2 = 180 - m∠1

m∠2 = 180 - 50

m∠2 = 130°.

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The resulting (f+g)(x) for the functions f(x)=14x²+8x+12 and g(x)=9x+4 is D. 14x²+17x+16.

To find (f+g)(x), we need to add the two functions, f(x) and g(x), together. Since f(x) is given as 14x²+8x+12 and g(x) is given as 9x+4, we simply add the like terms.

Adding f(x) and g(x) together gives us (14x²+8x+12) + (9x+4) = 14x²+17x+16.

Therefore, the answer is (f+g)(x) = 14x²+17x+16 (Option D).

This method of adding functions involves adding the coefficients of like terms together. We can use this method to add any two functions with the same variables and exponents, which results in the combined function.

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For the 6th point, the answer is PR because this is the formula from the Pitagoras theorem, PT and RT are the hicks, so PR is the hypotenuse.

For the 7th point, the answer is QR because this is the formula from the Pitagoras theorem, QT and RT are the hicks, so QR is the hypotenuse.

Answer:

32

Step-by-step explanation:

3x + 20 + 2x = 180 (angles lying on the same side of the transversal are supplementary)

=> 5x + 20 = 180

=> 5x = 180 - 20

=> 5x = 160

=> x =160/5 (by transposing)

=> x = 32

Hope you understood!!

The value of x in the given figure is 32 .

Here,

Both 2x and 3x + 20 degrees are on same side of transversal (l) .

So the both are supplementary angles.

So,

3x + 20 + 2x = 180 (angles lying on the same side of the transversal are supplementary)

So,

=> 5x + 20 = 180

=> 5x = 180 - 20

=> 5x = 160

=> x =160/5 (by transposing)

=> x = 32

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The correct answer is d. 0.37.

To find the probability that the person's highest level of education is an undergraduate degree, we need to consider both the cases where they take and do not take supplements. We can calculate this by adding the probabilities for these two scenarios:

Probability = P(Undergraduate Degree & Takes Supplements) + P(Undergraduate Degree & Does Not Take Supplements)

Probability = 0.09 + 0.28

Probability = 0.37

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PLEASE GIVE BRAINLIEST!

I hope this helped :)

Answer:

y = -5x - 2

Step-by-step explanation:

Two lines are parallel if they have the same slope. The given line has a slope of -5, so the line we want to find will also have a slope of -5.

Using the point-slope formula:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point, we have:

y - (-32) = -5(x - 6)

Simplifying:y + 32 = -5x + 30y = -5x - 2

Therefore, the equation of the line that passes through the point

(6, -32) and is parallel to the line y = -5x - 3 is y = -5x - 2.

Answer:

Step-by-step explanation:

when trying to find the parallel line the slope is the same.

-32 = -36 + b

+36   +36

4 = b

and now you have the equation of the parallel line which is y = -5x + 4

The range of the function is :

The correct option is (B) {-8, -3, 5, 7}.

We are given to find the range of the function shown in the figure.

We know that the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

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QR = 4 unit

Let us find RS, which is the length of the rectangle . Therefore