Can someone help Find the value of f(-8)​?

The mean number of tomatoes for the Ultra Boy tomato plant is calculated by adding up all the quantities and dividing by the total number of plants, which is 10 in this case. So, the mean is (32+46+51+43+42+56+28+41+39+53)/10 = 43.1 tomatoes per plant.

To find the median number of tomatoes, we need to first arrange the quantities in numerical order: 28, 32, 39, 41, 42, 43, 46, 51, 53, 56. The median is the middle number in this list, which is 43.

Therefore, the median number of tomatoes for the Ultra Boy tomato plant is 43.

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The formula for the area of a regular pentagon is:

A = (1/2)Pa

where A is the area of the pentagon, P is the perimeter of the pentagon, and a is the apothem (the distance from the center of the pentagon to the midpoint of a side).

If the apothem of the pentagon is 3√2, then we need to know the perimeter of the pentagon in order to calculate its area.

Unfortunately, the apothem alone is not enough information to determine the perimeter of a pentagon. However, if we assume that the pentagon is regular, then we know that all of its sides and angles are equal, and we can use the following formula to find its perimeter:

P = 5s

where P is the perimeter and s is the length of a side.

To find the length of a side, we can use the fact that the apothem is perpendicular to a side and bisects it. This means that the triangle formed by the apothem, half a side, and the center of the pentagon is a right triangle. The hypotenuse of this triangle is the length of a side, and the legs are half a side and the apothem:

s/2 = 3√2

s = 6√2

Now we can use the equation for the perimeter of a pentagon:

P = 5s = 5(6√2) = 30√2

Finally, we can use the formula for the area of a regular pentagon:

A = (1/2)Pa = (1/2)(30√2)(3√2) = 45

Therefore, the area of the pentagon is 45 square units, assuming that it is a regular pentagon with an apothem of 3√2.

Answer:

10000

Step-by-step explanation:

Do 10x10x10x10 in a calculator

Answer: 10^4= 10,000

Step-by-step explanation:

10^4= 10*10*10*10= 10,000

The equations that best represent the situation are 5x + 5y = 1152 and y = 4x - 2.

Here's an explanation of why:

Given equations:

X = 4y - 2 ...(1)

y = 4x - 2 ...(2)

x + y = 1152 ...(3)

We can rewrite equation (1) to solve for y:

y = (X + 2) / 4

Substituting this value of y into equation (2), we get:

(X + 2) / 4 = 4x - 2

Simplifying this equation, we have:

X + 2 = 16x - 8

X - 16x = -10

-15x = -10

x = 2/15

Now, substitute this value of x into equation (3):

2/15 + y = 1152

Isolating y, we have:

y = 1152 - 2/15

y = 1150/15

Therefore, the equations that best represent the situation are:

5x + 5y = 1152

y = 4x - 2

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The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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an equation of the tangent line to the graph at the point (4, -14) is y = (-13/4)x - 1.

To find y'(4), we use implicit differentiation as follows:

Differentiate both sides of the given equation with respect to x:

d/dx[3x^2 + 3x + xy] = d/dx[4]

6x + 3 + y + xy' = 0 ... (1)

Substitute x = 4 and y = -14 (given):

6(4) + 3 - 14 + 4y' = 0

24 + 4y' = 11

4y' = -13

y' = -13/4

Therefore, y'(4) = -13/4.

To find the equation of the tangent line to the graph at the point (4, -14), we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Substituting m = y'(4) = -13/4 and (x1, y1) = (4, -14), we get:

y - (-14) = (-13/4)(x - 4)

y + 14 = (-13/4)x + 13

y = (-13/4)x - 1

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The range of hours Troy and Ronnie spent at play rehearsal is 4 hours and 6 hours respectively.

Ronnie had greater range of hours spent at rehearsal.

Troy = 6, 4, 8, 5, 10, and 9 hours at play rehearsal

Ronnie = 4, 6, 3, 7, 7, and 3 hours at play rehearsal.

Range of a data set refers to the difference between highest and lowest data set.

Range of hours Troy spent at play rehearsal = (10 - 4) hours

= 6 hours

Range of hours Ronnie spent at play rehearsal = (7 - 3) hours

= 4 hours

Therefore, the person with the greater range of hours spent at rehearsal is Troy.

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Answer: the correct answer is number one

Step-by-step explanation:

Answer:

c.

Step-by-step explanation:

the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

The claim and the null hypothesis are the same when the claim being made is that there is no significant difference or relationship between variables or that there is no effect or impact of a particular factor. In other words, the claim asserts that the null hypothesis is true.

For example, if the null hypothesis (H₀) states that there is no difference between the means of two groups, the corresponding claim would be that the means are indeed equal. Similarly, if the null hypothesis states that there is no correlation between two variables, the claim would be that there is indeed no significant correlation.

In such cases, the claim aligns with the null hypothesis, as both assert the absence of an effect, difference, or relationship between variables.

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Answer:

3

Step-by-step explanation:

3 is the A value.

The remaining angles of triangle are A = 40.8° ,B = 60.6° , C = 78.6°

To determine the remaining angles of a triangle with sides a = 6, b = 8, and c = 9, we can use the Law of Cosines and the Law of Sines.

The Law of Cosines states that for any triangle with sides a, b, and c and angles A, B, and C, respectively:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

Using the given side lengths, we can calculate the value of cos(C):

\(c^2 = 6^2 + 8^2 - 2(6)(8)cos(C)\)

81 = 36 + 64 - 96cos(C)

81 = 100 - 96cos(C)

96cos(C) = 100 - 81

96*cos(C) = 19

cos(C) = 19/96

Using the inverse cosine function (cos^(-1)), we can find the measure of angle C:

C = \(cos^{-1}(19/96)\) = 78.6°

To find the measure of angle A, we can use the Law of Sines:

sin(A)/a = sin(C)/c

sin(A) = (asin(C))/c

sin(A) = (6sin(C))/9

Using the calculated value of angle C and substituting the side lengths, we can find sin(A):

sin(A) = \((6*sin(cos^{-1}(19/96)))/9\) = 40.8°

Finally, the measure of angle B can be determined by subtracting the measures of angles A and C from 180 degrees:

B = 180 - A - C = 60.6°

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Answer:

add up the exponents of each term, and then select the highest sum.

Step-by-step explanation:

To make inferences about a population based on a sample, the chance of Pablo being included in the sample must be greater than 0% and less than 0.05%.

In statistical inference, it is important to have a representative sample from a population in order to draw conclusions about the entire population. In this scenario, if the chance of Dawn being included in the sample is 0.05%, it means that Dawn is a rare occurrence in the population.

To ensure that the sample is representative and allows for meaningful inferences, the chance of Pablo being included in the sample should also be greater than 0% but less than 0.05%. This means that Pablo should have a probability of being selected that falls within the same range as Dawn.

By having both Dawn and Pablo included in the sample, it increases the likelihood of capturing the variability and characteristics of the population. This allows for a more accurate representation and the ability to make reliable inferences about the entire population.

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Answer:

x^3-2x^2-21x+12

Step-by-step explanation:

use foil method

Answer:

x³ - 2x² - 21x + 12

Step-by-step explanation:

Step 1: Write expression

(x + 4)(x² - 6x + 3)

Step 2: Distribute each term

x³ - 6x² + 3x

4x² - 24x + 12

Step 3: Combine

x³ - 6x² + 3x + 4x² - 24x + 12

Step 4: Combine like terms

x³ - 2x² - 21x + 12

Answer:

I would say the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Measure of an inscribed angle intercepted by an arc is half of the measure of the arc.

From the picture attached,

m(∠A) = \(\frac{1}{2}m(\text{arc BD})\)

           = \(\frac{1}{2}[m(\text{BC})+m(\text{CD}]\)

           = \(\frac{1}{2}[55^{\circ}+145^{\circ}]\)

           = 100°

m(∠C) = \(\frac{1}{2}[(360^{\circ})-m(\text{arc BCD})]\)

           = \(\frac{1}{2}(360^{\circ}-200^{\circ})\)

           = 80°

m(∠B) + m(∠D) = 180° [ABCD is cyclic quadrilateral]

115° + m(∠D) = 180°

m(∠D) = 65°

m(arc AC) = 2[m(∠D)]

m(arc AB) + m(arc BC) = 2(65°) [Since, m(arc AC) = m(arc AB) + m(arc BC)]

m(arc AB) + 55° = 130°

m(arc AB) = 75°

m(arc ADC) = 2(m∠B)

m(arc AD) + m(arc DC) = 2(115°)

m(arc AD) + 145° = 230°

m(arc AD) = 85°

The angle relationships that is supplementary is angle 1 and angle 5.

Supplementary angles are those angles that sum up to 180 degrees.

In other words, supplementary angles refer to the pair of angles that always sum up to 180°.

Alternate exterior angles are congruent to each other.

Therefore, ∠1 and ∠4 are not supplementary angles.

Hence,

m∠4 =m∠1

m∠4 = 85°

Consecutive interior angles are supplementary. That is they sum up to 180 degrees.

m∠1 = 43°

m∠5 = 180 - 43

m∠5 = 137°

Therefore, ∠1 and ∠5 are supplementary angles.

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Answer:

y = -1/2x + 7

Step-by-step explanation:

The slope is -1/2.

The y intercept is 7.

Plugging them into the format for the equation we have:

y = mx + b

(m = slope and b = y intercept)

y = -1/2x + 7

Answer:

Step-by-step explanation:

opposite sides are congruent

so  a + 19 = 33

a + 19 - 19 = 33 - 19

a = 14

consecutive angles are supplementary - they equal 180°

4r + 2r = 180

6r = 180

6r/6 = 180/6

r = 30

opposite angles are congruent

so 2r = z

if r = 30

2(30) = z

60 = z

Answer:

1.5gallons

Step-by-step explanation:

Here,

no. of bottles(a) : 12

no. of cups (b) :a*2

=12*2

=24

Now,

No. of gallons. :24/16

:1.5gallons

.·.A cartoon contains 1.5 gallons of lemon tea.

Mercury is used to measure high temperatures and alcohol has a lower freezing point that mercury.

The freezing point of any substance, describe the transition of liquid into solid.

The freezing point of water is \(0\) °C or \(32\) °F.

At zero-degree water molecules are moving very slowly, and formation of solid begins i.e. Ice.

When salt or sugar is combined that is mixed with water or ice and it is evenly distributed, the freezing point is lowered.

Lowering of freezing point allows the street ice to melt at lower temperatures, it prevent the accumulation of dangerous, slippery ice.

Alcohol is used to measure the lower temperatures.

Mercury boils at \(357\) degree Celsius where as alcohol boils at \(78\) degree Celsius.

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The value of the missing angles of the quadrilateral are:

a = 110°

b = 70°

c = 20°

Theorem sum of angles in a triangle states that they sum up to 180 degrees. Thus:

d = 180 - (78 + 32)

d = 70°

Similarly:

e = 180 - (78 + 32 + 18)

e = 20°

Sum of angles on a straight line is 180 degrees. Thus:

a = 180 - 70

a = 110°

We can see that e + b will be equal to 90 degrees because of the definition of right angles. Thus:

b = 90° - 20°

b = 70°

From sum of angles in a triangle as 180° is:

c = 180 - (90 + 70)

c = 20°

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The first pair of numbers is a decimal number and a large whole number. The second pair is a large whole number and decimal number. The third pair is a smaller whole number and the same decimal as the second pair.

The first pair of numbers is 4.24 and 3150. This means that 4.24 is a decimal number and 3150 is a large whole number. In order to understand this pair of numbers, it is important to know how to read decimal numbers. A decimal number is written with a decimal point that separates the whole number part from the fractional part. The number 4.24 is read as "four and twenty-four hundredths", which means that 4.24 is 4 whole numbers and 24 hundredths. The second pair of numbers is 345 and 4.240. This is a large whole number and another decimal number. In this pair, 345 is the large whole number and 4.240 is the decimal number. To read 4.240, first read the whole number part (4) and then the fractional part (240). This means that 4.240 is read as "four and two hundred and forty thousandths". The third pair of numbers is 45 and 4.240. This is a smaller whole number and the same decimal as the second pair. To read 4.240 in this pair, it is the same as reading it in the second pair. This means that 4.240 is read as "four and two hundred and forty thousandths".

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Answer:

306m

Step-by-step explanation:

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there are better explainations there :)

you're looking for the perimeter, so you need to add all the sides. that's 55+55+98+98, which is 306.

Answer:

D

Step-by-step explanation:

The theoretical probability of an event is the likelihood of that event occurring. Knowing the theoretical probability of an event can help people make informed decisions in their lives.

It is calculated by dividing the number of desired outcomes by the total number of possible outcomes. For example, if a wheel is spun once, the probability of getting the number zero is 1/8. This is calculated by dividing the number of desired outcomes (1) by the total number of possible outcomes (8). Mathematically, this can be written as: P(zero) = 1/8.In this equation, P stands for probability and zero is the desired outcome. The probability of getting the number zero is 1/8, or 12.5%. This means that there is a 12.5% chance of getting the number zero when spinning the wheel once. Theoretical probability is an important concept in mathematics and is used in many different applications. It is used to calculate the odds of winning in games of chance, the likelihood of a certain outcome in an experiment, and the expected value of investments. Knowing the theoretical probability of an event can help people make informed decisions in their lives.

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Answer:

180

Step-by-step explanation:

Answer: 180 is the correct answer. Hope this helps!!!!

Step-by-step explanation: