I need an answer ASAP

At the end of week 3, plant 1 is 0.6 inches taller than plant 2.

For plant 1, the height (in inches) equation as a function of the number of weeks is:

\(h_1(w) = 2.5 + \frac{4}{10}*w\)

The height for w = 3 is:

\(h_1(3) = 2.5 + \frac{4}{10}*3 = 3.7\)

So the height at the end of week 3 is 3.7 inches.

For plant 2 the equation is:

\(h_2(w) = 2.5 + \frac{1}{5}*w\)

The height for w = 3.

\(h_2(3) = 2.5 + \frac{1}{5}*3 = 3.1\)

So the height at the end of week 3 is 3.1 inches.

The difference is:

3.7 in - 3.1 in = 0.6 in

At the end of week 3, plant 1 is 0.6 inches taller than plant 2.

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To determine the maximum number of 2/0 AWG THW aluminum compact conductors permitted in a 2½-inch PVC conduit, Schedule 80, we need to consult the applicable electrical code or standards.

The number of conductors allowed in a conduit is typically governed by factors such as fill capacity and heat dissipation.

The specific requirements may vary depending on the jurisdiction and the electrical code being followed. It is recommended to consult the local electrical code or a qualified electrician to ensure compliance with the regulations in your area.

They will be able to provide the precise guidelines and restrictions for conductor fill capacity based on the conduit size, type, and the specific application.

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In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.

The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.

We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.

Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.

Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000

We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)

Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0

Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.

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Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Answer:

Independent

Step-by-step explanation:

Answer: A function is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.

Answer: Heyaa!

The Answer is 2x+2

Step-by-step explanation:

Simplify the expression.

hopefully this helps you !

- Matthew ~

answer is in the attachment hope it helps you ^_^

Answer:

To put the expression in the standard form for a polynomial we need to multiply the two terms. To multiply these two terms you multiply each individual term in the left parenthesis by each individual term in the right parenthesis.

Step-by-step explanation:

Answer:

always :)

Step-by-step explanation:

got it right

Solution

Two dice total sample space is 36

Getting equal numbers on both 6

Probability is

Now, The probability of getting equal numbers on both

Answer:

955

Step-by-step explanation:

8 squared = 64

x 3 X 5 = 960

-5

= 955

These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth

The aspect of Earth's orbital relationship to the Sun that varies with a periodicity of both 400 Ka and 100 Ka is the eccentricity of Earth's orbit. The eccentricity refers to the shape of Earth's orbit around the Sun, which is not a perfect circle, but an ellipse. The eccentricity of Earth's orbit changes over time due to gravitational interactions with other planets, particularly Jupiter and Saturn. When Earth's orbit is more elliptical, its distance from the Sun varies more throughout the year, leading to variations in climate and the amount of solar radiation received on Earth's surface. The periodicity of 400 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the amount of solar radiation received at different latitudes and the distribution of ice ages. The periodicity of 100 Ka corresponds to a cycle of variations in Earth's eccentricity that affects the intensity of the seasons and the distribution of glacial periods. These cycles are known as the eccentricity cycles, and they are one of the factors that contribute to the long-term climate variations on Earth.

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The standard error of the sample proportion is approximately 0.0306.

To calculate the standard error of a sample proportion, we use the formula:

Standard Error = sqrt((p * (1 - p)) / n)

where:

p is the proportion (expressed as a decimal)

n is the sample size

In this case, the proportion of people strongly opposed to the state lottery is 25%, which can be expressed as 0.25. The sample size is 200.

Plugging in these values into the formula:

Standard Error = sqrt((0.25 * (1 - 0.25)) / 200)

Calculating the standard error:

Standard Error = sqrt((0.25 * 0.75) / 200)

= sqrt(0.1875 / 200)

= sqrt(0.0009375)

= 0.0306 (approximately)

Therefore, the standard error of the sample proportion is approximately 0.0306.

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Answer:

52

Step-by-step explanation:

100% - 10.3% = 89.7%

89.7% of 58 is 52

Answer:

52

Step-by-step explanation:

We know that 10.3% is equal to 0.103. We multiply \(58\cdot0.103=5.974\).

58-5.974=52.026. You can't have 0.026 of a person, so it is just 52.

The interest earned on the given amount after 15 years is $3395.

What is simple interest?

A loan or deposit's principal amount serves as the foundation for simple interest. Compound interest, on the other hand, is calculated based on both the initial principal and the interest that is added to it each period. Simple interest is simpler to compute than compound interest because it is just applied to the principal of a loan or deposit.

Here, we have

Given: A student's parents invested $7,000 in a college savings account that pays 4.85% annual simple interest. No additional deposits or withdrawals will be made.

P = $7,000, R = 4.85%, and T = 10 years

Using the above formula for simple interest, we get:

I = PRT/100

I = (7,000×4.85×10)/100

I = 3395

Thus, the interest earned on the given amount after 15 years is $3395.

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x+57=90 (sum of complementry angle)

x=90-57

x=33

x+y=90 (sum of complementry angle)

33+y=90

y=90-33

y=57

Answer:

3/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

( 3m + 2) (4m-3)

Answer:

Step-by-step explanation:

simplify = 1 /3

 (4x - 3) -  ((1/3 • (9x - 18)) -  5)  = 0

3.1     Pull out like factors :

  9x - 18  =   9 • (x - 2)  

 (4x - 3) -  (3 • (x - 2) -  5)  = 0  

 x + 8  = 0  

5.1      Solve  :    x+8 = 0  

Subtract  8  from both sides of the equation :  

                     x = -8 Ans

Answer:

Step-by-step explanation:

Yes this is Proportional

Answer:

good luck bro lol

Step-by-step explanation:

Answer:

2. is right i think

4. is true i think hope this helps!

Step-by-step explanation:

i think

The researcher wants to determine if the number of calories burned during an hour is the same for running and walking. To conduct this investigation, the researcher would measure continuous scale data.

Continuous scale data is quantitative data that can take any numerical value within a certain range.

In this case, the researcher would measure the number of calories burned, which is a continuous variable that can have various values within a specific range (e.g., 0, 100, 200, etc.).

By measuring the calories burned for both running and walking, the researcher can compare and analyze the numerical data to determine if there is a significant difference between the two activities.

It is important to note that the type of statistical analysis required to evaluate the data would depend on the specific research design and the number of groups involved.

If the researcher is comparing only two groups (running and walking), an independent t-test may be appropriate.

On the other hand, if there are more than two groups or additional factors being considered, an analysis of variance (ANOVA) might be more suitable.

The choice of statistical analysis method would depend on the specific research question and study design.

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Note that the the equation of the second line is y - 2 = (-1)(x - 0). The system of equations has no solutions, since the lines do not intersect.

One way to approach this problem is to find the slope of the line that passes through (0, -3) and (2, 0), which is:

slope = (0 - (-3))/(2 - 0) = 3/2

Then, we can use point-slope form to write the equation of this line:

y - (-3) = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x - 3

Now, we need to find a line that goes through (0, 2) and has a different slope than the first line. One way to do this is to choose a point that is not on the first line, say (1, 1), and use it to find the slope of the second line:

slope = (2 - 1)/(0 - 1) = -1

Then, we can use point-slope form again to write the equation of the second line:

y - 2 = (-1)(x - 0)

Simplifying, we get:

y = -x + 2

Now, we have two equations:

y = (3/2)x - 3

y = -x + 2

We can solve for the point of intersection by setting these two equations equal to each other:

(3/2)x - 3 = -x + 2

Simplifying and solving for x, we get:

x = 8/5

Substituting back into either equation, we get:

y = (3/2)(8/5) - 3 = -3/5

Therefore, the system of equations has no solutions, since the lines do not intersect.

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Answer:

C.1/cd4

Step-by-step explanation:

cd.d.d.d (d 4times)

-------------------------

c.c.d.d.d.d.d.d.d.d (c 2 times and d 8 times)

simplify

1/cd4

Answer: yes

Step-by-step explanation:

Answer:

(-8/6, 0) is the answer

first is the absicca and the second is the ordinate

For the given equation x⁸ + y⁸ + z⁵ = 6xyz, the value of partial derivatives are ∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz) and ∂z/∂y = (6xz) / (8y⁷ - 6xy)

To find the partial derivatives ∂z/∂x and ∂z/∂y for the equation x⁸ + y⁸ + z⁵ = 6xyz, we need to differentiate the equation with respect to x and y while treating y and z as constants.

Taking the partial derivative with respect to x (∂z/∂x), we differentiate each term separately:

8x⁷ + 0 + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Simplifying the equation, we get:

8x⁷ + 5z⁴ (∂z/∂x) = 6yz + 6xz(∂z/∂x)

Now, let's take the partial derivative with respect to y (∂z/∂y):

0 + 8y⁷ + 0 (∂z/∂y) = 6xz + 6xy(∂z/∂y)

Simplifying further:

8y⁷ (∂z/∂y) = 6xz + 6xy(∂z/∂y)

To find the values of ∂z/∂x and ∂z/∂y, we need to isolate the partial derivatives:

∂z/∂x = (6yz - 8x⁷) / (5z⁴ - 6xz)

∂z/∂y = (6xz) / (8y⁷ - 6xy)

These equations give the partial derivatives of z with respect to x and y for the given equation x⁸ + y⁸ + z⁵ = 6xyz.

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Answer:

I hope it's helpful for you

Step-by-step explanation:

pls mark brainliest

Applying the sine ratio, the value of x is calculated as: x = 6.

The sine ratio is part of the trigonometric ratios that is used to solve a right triangle, which is expressed as:

sin ∅ = opposite side length / hypotenuse length

Given the following:

Apply the sine ratio to find the value of x:

sin 45 = 6√2/x

Multiply both sides by x

sin 45 × x = 6√2

Divide both sides by sin 45:

sin 45 × x / sin 45 = 6√2/sin 45

x = 6√2 / √2/2

x = 6√2 × 2/√2

x = 12/2

x = 6

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