Ms.Koehler is planting A treat to help save the environment. She decided to keep track of the height of the tree over the years. After the first year Ms. Koehler measured the tree to be 8 feet tall. She took note that this was an increase of 3 feet from the previous year. Assuming the tree will continue to grow at this rate I answer the following questions.


Write an equation representing the height of Ms. Koehler’s three overtime, where y represents the height of the tree and x is the number of years since being planted

Answer:

30 degrees

Step-by-step explanation:

(75 degrees x 2) = 150 degrees

180 degrees - 150 degrees = 30 degrees

angle 1 = 30 degrees

find area of 1 small bubble

πr² = π × 5²

= 78.54

total area of 4 small bubble

78.54 × 4 = 314.16

total area of 4 small bubble = area of big bubble

= 314.16

find it's radius

πr² = 314.16

r² = 314.16 ÷ π

r² = 100

r = √100

r = 10

Answer:

AREA OF LARGE BUBBLE=PI×R^2

AREA OF 1 SMALL BUBBLE =PI×r^2

then area of 4 small bubble =(PI×r^2)×4

now,

area of large bubble =area of 4 small bubble

PI×R^2=4×(PI×r^2)

R= 10 cm

Answer:

D. 3x + 1

Step-by-step explanation:

The mean of the given set of data will be 8.3.

Given is the following data -

3, 5, 8, 11, 11, 12

We have -

3, 5, 8, 11, 11, 12

We can calculate the mean as -

m = (3 + 5 + 11 + 8 + 11 + 12)/6

m = 50/6

m = 8.3

Therefore, the mean of the given set of data will be 8.3.

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Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

The values a₁ = = 10 and a₂ = 20 and the recursive formula an Зап-1 - 2ап-2. The first 5 values of the sequence are: 10, 20, 0, -40, -40.

To find the first 5 values of the sequence using the given recursive formula, we can start with the initial values a₁ = 10 and a₂ = 20 and then compute each subsequent term based on the formula.

a₁ = 10 (given)

a₂ = 20 (given)

Now, let's use the recursive formula to find a₃:

a₃ = a₃₋₁ - 2a₃₋₂

   = a₂ - 2a₁

   = 20 - 2(10)

   = 20 - 20

   = 0

Therefore, a₃ = 0.

Using the same process, we can find the remaining terms:

a₄ = a₄₋₁ - 2a₄₋₂

   = a₃ - 2a₂

   = 0 - 2(20)

   = 0 - 40

   = -40

Hence, a₄ = -40.

a₅ = a₅₋₁ - 2a₅₋₂

   = a₄ - 2a₃

   = -40 - 2(0)

   = -40

Therefore, a₅ = -40.

The first 5 values of the sequence are: 10, 20, 0, -40, -40.

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On a circle with a radius of 4 and center at (0, 0), to find the x and y coordinates at an angle of 180 degrees (or π in radian measure), we can use the trigonometric functions.

At 180 degrees, the x-coordinate will be 0, as it lies on the y-axis. The y-coordinate can be found by using the sine function.  Using the equation y = r * sin(θ), where r is the radius and θ is the angle in radians, we can substitute the values. In this case, r is 4 and θ is π (since 180 degrees equals π radians).

Therefore, the x-coordinate is 0 and the y-coordinate is 4 * sin(π) = 0. So, the x-coordinate is 0 and the y-coordinate is also 0.
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The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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The triangles are not similar. Option E

Similar triangles are those triangles that may not be of the same size but a related in the sense of the proportionality in the following ways;

Looking at the two triangles as shown, we can see that they are not related in any of the ways by which we define proportionality of two triangles as such, the triangles are not similar. Option E

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The null hypothesis for this scenario is that the valve performs to the specifications, i.e., the mean pressure produced by the valve is 5.9 lbs/square inch. The alternative hypothesis is that the valve does not perform to the specifications, i.e., the mean pressure produced by the valve is not 5.9 lbs/square inch.

To determine if there is sufficient evidence to reject the null hypothesis, we need to perform a hypothesis test.

Since the sample size is greater than 30 and we know the population standard deviation, we can use a z-test. We can calculate the test statistic as:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Plugging in the given values, we get:

z = (6.1 - 5.9) / (0.9 / sqrt(130)) = 2.33

Using a standard normal distribution table, we find that the probability of getting a z-value of 2.33 or greater is approximately 0.01.

Since this probability is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is sufficient evidence that the valve does not perform to the specifications.

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\(\begin{gathered} {\underline{\boxed{ \rm {\red{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: base \: \times \: height }}}}}\end{gathered}\)

\( \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 9.6 \:in \: \times \: 3.9 \: in\)

\( \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: 37.44 \: {inches}^{2} \)

\( \rm \large \longrightarrow \: Area \: of \: triangle \: = \: \frac{1}{ \cancel2} \: \times \: \cancel{37.44} \: {inches}^{2} \: \: ^{\bf{\red{ 18.72 \: {inches}^{2} }}} \)

\( \rm \large \longrightarrow \: Area \: of \: triangle \: = \: 18.72 \: {inches}^{2} \)

Answer: The answer is B, 62 and a half pieces of paper total.

Answer:

-3x - 6

Step-by-step explanation:

3 × -x = -3x

3 × -2 = -6

-3x - 6 hope this helps

Answer:

Step-by-step explanation:

This is not a syllogism. Hence option B is correct.

A logical structure for a formal argument that includes a major, minor, and conclusion.

This syllogism cannot be concluded without a given statement.

You'll need wrapping paper if you're going to wrap Holly's present. To get wrapping paper, you must visit a store.

Therefore, you will wrap Holly's present if you visit the store. This isn't a syllogism

Hence option B is correct.

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Answer:

This is not a syllogism

Step-by-step explanation:

I took the quiz. :)

Answer:

1 liter I think?

Step-by-step explanation:

I don't know for sure but I am thinking it is 1 liter

Answer:

20 /_<<&&&&^%%^^$^&&//>&^=^^^^

Step-by-step explanation:

^=%&&%^&%

Answer:

$8-$6+$8-$3=$7

hope this helps have a good day or night:)

Work Shown:

4x - 8 = -4

4x = -4+8

4x = 4

x = 4/4

x = 1

To check the answer, we replace x with 1 in the original equation. After simplifying, we should get the same thing on both sides

4x - 8 = -4

4(1) - 8 = -4

4 - 8 = -4

-4 = -4

The answer is confirmed.

true? I believe due to how it starts with positive 4 and is subtracted by -8 this conceding a negative number.

Answer: The two functions are

f(x) = sqrt(64x^2+64)

g(x) = -sqrt(64x^2+64)

Graphing these together forms a hyperbola

To get these two functions, we need to solve for y

y^2 - 64x^2 = 64

y^2 = 64x^2 + 64

y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)

The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)

The value of cosZ in the right angled triangle is 0.28.

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse.

To calculate the values of cosZ, we use the formula below.

Formula:

Where:

From the diagram,

Substitute these values into equation 1

Hence, cosZ is 0.28.

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Answer:

to the left of 0 it goes up negative 1/2 and on the right side of 0 it goes up 1/2 from 0

Step-by-step explanation:

Answer:

a. Describe how the value of each statistic changes when 32 is subtracted from the temperature in degrees Fahrenheit.

a) The mean will change and other quantities remain same.

b) The mean, standard deviation and IQR change.

c) The standard deviation and IQR change.

a. When 32 is subtracted from the temperature in degrees Fahrenheit:

b. When the new values (obtained after subtracting 32) are multiplied by 5/9:

c. To find the value of each statistic when the temperature is measured in degrees Celsius:

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The value of x is 43.2

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

25/40 = 27/x

cross multiply.

25*x = 25x

40*27 = 1080

25x = 1080

divide by 25 both sides.

25/25 = 0

1080/25 = 43.2

x = 43.2

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Step-by-step explanation:

what is so special about 13 ?

the other problems you understand and can do ?

and then you don't understand 13 ?

that is really strange.

anyway, remember, when dividing by a term with exponent we subtract that exponent.

in other words we have

5/2 × x^(-3 - -6) = 5/2 × x^(-3 + 6) = 5/2 × x³ = 5x³/2

In a superconducting plate perpendicular to the x-axis and of thickness δ, the magnetic field inside the plate, B(x), is given by B(x) = Bn * e^(-x/λ), where Bn is the field outside the plate and parallel to it. The penetration depth, λ, determines the rate of decay of the magnetic field inside the plate. In cgs units, the effective magnetization, M(x), is defined as M(x) = B(x)/(4π). In SI units, it is given by M(x) = B(x)/μ₀, where μ₀ is the permeability of free space.

(a) To show that B(x) inside a superconducting plate perpendicular to the x-axis and of thickness δ is given by B(x) = Bn * e^(-x/λ), where Bn is the field outside the plate and parallel to it, we can utilize the penetration equation.

The penetration equation states that the magnetic field inside a superconductor decays exponentially with distance from the surface, and the penetration depth (λ) determines the rate of decay.

Let's consider a coordinate system where x = 0 is at the center of the plate. The field inside the plate, B(x), will depend on the distance from the center (x) and can be expressed as B(x) = Bn * f(x), where f(x) is a function to be determined.

At the center of the plate (x = 0), the field should be equal to the field outside the plate, B(0) = Bn. Therefore, f(0) = 1.

Using the penetration equation, we know that the field decays exponentially as we move away from the surface. This can be represented as f(x) = e^(-x/λ), where λ is the penetration depth.

Hence, the expression for B(x) inside the superconducting plate is B(x) = Bn * e^(-x/λ).

(b) The effective magnetization M(x) in the plate is defined by B(x) = Ba = 4πM(x), where Ba represents the applied magnetic field and M(x) is the magnetization.

In the cgs (centimeter-gram-second) system, the relation is given by B(x) = Ba = 4πM(x).

However, in the SI (International System of Units) system, we replace 4π with μ₀, where μ₀ is the permeability of free space. Therefore, in SI units, the relation becomes B(x) = Ba = μ₀M(x).

This adjustment accounts for the difference in the definition of magnetic field and magnetization between the cgs and SI systems, where μ₀ is a constant that relates the two systems.

In summary, in the cgs system, the effective magnetization is related to the magnetic field by M(x) = B(x)/(4π), while in the SI system, it is given by M(x) = B(x)/μ₀.

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y = 29 - 0.75x (option C)

The initial amount of gallons of diesel fuel = 29 gallons

Rate of consumption of fuel = 0.75 gallons per hour

we write the above information in the form of a liear equation:

y = mx + c

m = rate of consumption of fuel = 0.75 gallons per hour

c = intial amout of diesel fuel = 29

SInce, we are using up the fuel, it means the initial amount will be reducing every hour.

Our rate of consumption will be negative.

The equation becomes:

y = - 0.75x + 29

y = 29 - 0.75x (option C)