5x+12-8x=-24 steps by step please

0.7 is greater than 0.07, as the decimal place value indicates. 7.52 is greater than 3 based on the decimal value comparison.

The comparison between 0.7 and 0.07 is reasonable. It is evident that 0.7 is greater than 0.07. The decimal point indicates the place value, and in this case, the difference in the tenths place (0.7) and hundredths place (0.07) clearly shows that 0.7 is a larger value.

On the other hand, the comparison between 3 and 7.52 is not reasonable. It is incorrect to claim that 3 is greater than 7.52. In the decimal system, the whole numbers are on the left side of the decimal point and the decimal fractions are on the right side. When comparing numbers, we start with the whole number part and move to the right, comparing each decimal place one by one. In this case, the digit 7 in 7.52 is greater than 3, and the decimal places further reinforce that 7.52 is a larger value than 3.

In summary, the comparison between 0.7 and 0.07 is reasonable as it aligns with the principles of decimal place value. However, the comparison between 3 and 7.52 is not reasonable, as 7.52 is greater than 3.

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Answer:

No Solution

Step-by-step explanation:

It's false there's no solution

Answer:

2350

Step-by-step explanation:

Answer:

2350

Step-by-step explanation:

You just add both of the apple and cranberry juice together then subtract by 1900.

Answer:

Example: Suppose you give $100 to a bank which pays you 10% compound interest at the end of every year. After one year you will have $100 + 10% = $110, and after two years you will have $110 + 10% = $121.

compound interest image

Problem:

If you deposit $4500 into an account paying 7% annual interest compounded semi anualy , how much money will be in the account after 9 years?

Result:

The amount is $8358.7 and the interest is $3858.7.

Explanation:

STEP 1: To find amount we use formula:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

In this example we have

After plugging the given information we have

STEP 2: To find interest we use formula , since 8358.7  P =  we have:

3858.7

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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Answer: Angles 2 and 3 are vertical angles

Step-by-step explanation:

Vertical angles are angles that are not adjacent, and are made by the same 2 lines.

The 95% confidence interval to estimate the average weekly donation per member is approximately $47.42 to $53.38.

To calculate the 95% confidence interval for the average weekly donation per member, we can use the following formula:

Confidence interval = Sample mean ± (Critical value) × (Population standard deviation / √(Sample size))

First, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is relatively large (n > 30), we can use the Z-distribution. The critical value for a 95% confidence level is approximately 1.96.

Next, we can substitute the given values into the formula:

Sample mean = $50.40

Population standard deviation = $12.30

Sample size = 65

Using these values, we can calculate the confidence interval:

Confidence interval = $50.40 ± (1.96) × ($12.30 / √(65))

Calculating the value inside the parentheses:

($12.30 / √(65)) ≈ $1.52

Substituting this value into the formula:

Confidence interval = $50.40 ± (1.96) × $1.52

Calculating the values outside the parentheses:

$1.96 × $1.52 ≈ $2.98

Substituting this value into the formula:

Confidence interval ≈ $50.40 ± $2.98

Therefore, the 95% confidence interval is $47.42 to $53.38.

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Answer: x = 10 and the angles are both corresponding angles

Step-by-step explanation: it is what it is

Corresponding angles are equal

Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

Answer:

hope this helps you pls give me brainless.

Answer:

2.861

Step-by-step explanation:

What is the value of the t score for a 99% confidence interval if we take a sample of size20? Thus, the t-score for a 99% confidence interval for sample size 20 is 2.861.

The profitability index for Project A is 1.10, for Project B is 0.95, and for Project C is 1.05. The NPV for Project A is $10,000, for Project B is -$5,000, and for Project C is $5,000.

In order to calculate the profitability index for each project, we divide the present value of the cash inflows by the initial investment. The present value is determined by discounting the future cash flows at the relevant discount rate of 10 percent per year. The project with a profitability index greater than 1 is considered favorable.

For Project A:

The cash flows are projected as follows: -$10,000 (initial investment), $5,000 (Year 1), $5,000 (Year 2), and $5,000 (Year 3). To calculate the present value of the cash inflows, we discount each cash flow using the discount rate.

The present value of the cash inflows is $13,636.36. The profitability index is then calculated by dividing the present value of the cash inflows by the initial investment: $13,636.36 / $10,000 = 1.36 (rounded to 2 decimal places).

For Project B:

The cash flows are projected as follows: -$10,000 (initial investment), -$5,000 (Year 1), $2,500 (Year 2), and $7,500 (Year 3). We discount each cash flow using the discount rate to calculate the present value of the cash inflows, which amounts to $8,636.36.

The profitability index is $8,636.36 / $10,000 = 0.86 (rounded to 2 decimal places).

For Project C:

The cash flows are projected as follows: -$10,000 (initial investment), $2,500 (Year 1), $2,500 (Year 2), $10,000 (Year 3). The present value of the cash inflows, after discounting at the rate of 10 percent per year, is $13,636.36. The profitability index is $13,636.36 / $10,000 = 1.36 (rounded to 2 decimal places).

To calculate the NPV for each project, we subtract the initial investment from the present value of the cash inflows. A positive NPV indicates that the project is expected to generate positive returns.

For Project A, the NPV is $13,636.36 - $10,000 = $3,636.36 (rounded to 2 decimal places).

For Project B, the NPV is $8,636.36 - $10,000 = -$1,363.64 (rounded to 2 decimal places).

For Project C, the NPV is $13,636.36 - $10,000 = $3,636.36 (rounded to 2 decimal places).

In summary, the profitability index for Project A is 1.10, for Project B is 0.95, and for Project C is 1.05. The NPV for Project A is $3,636.36, for Project B is -$1,363.64, and for Project C is $3,636.36.

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The polar equation r = 1 + 2cos(θ) represents a cardioid, a heart-shaped curve.

To sketch the graph of the equation r = 1 + 2cos(θ) in Cartesian coordinates, we can substitute r with x and θ with y. This gives us the equation x = 1 + 2cos(y). By choosing values for y and calculating the corresponding x values, we can plot points to form the graph.

The resulting graph will show a cardioid shape, resembling a heart with a cusp at the origin. The cosine term causes the curve to oscillate symmetrically between a minimum of 1 and a maximum of 3 in the x-direction.

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Answer:

Step-by-step explanation:

y = 2.5  sin \(\frac{2}{3}\) x  

a = 2.5

b = \(\frac{2}{3}\)

Answer:

Week 4

Step-by-step explanation:

Week 1 : 4*1.2 = 4.8kg Impossible

Week 2 : 1*2.3 = 2.3kg Impossible

Week 3 : .8*6 = 4.8kg Impossible

Week 4 : 1.9*3 = 5.7kg Possible..

Time fishing : DOESN'T MATTER AT ALL

Answer:

The correct option is;

A. Car B was 10 miles east of car A

Step-by-step explanation:

The given parameters are;

The speed of car A = 45 miles per hour

The direction of car A = East

The distance of car B from Johnstown after 2 hours = 100 miles east

The direction of Car B = East

The distance of car B from Johnstown is given on the graph

Therefore, the initial distance of car A from Johnstown when car A began driving is given as follows;

The initial distance, east, of car A from Johnstown = 100 - 2 × 45 = 10

∴ The initial distance, east, of car A from Johnstown = 10 miles

From the graph, the initial distance, east, of car B from Johnstown = 20 miles

Therefore, car B was 10 miles east of car A

Answer:

Car B was 10 miles east of car A

Step-by-step explanation:

The slope of the tangent line to the given polar curve at the specified point is √3.

What is polar equation?

Cartesian coordinates, which may be found by moving across an x-axis and up and down the y-axis in a rectangular pattern, are complemented by polar coordinates. Polar coordinates are written as (r,) as opposed to the (x, y) used for Cartesian coordinates.

A point's location in polar coordinates is determined by its r from the origin and the angle θ (measured in radians) between the line leading to the point and the x-axis.

As given,

For the polar equation r = 4 sin θ, we have

x = r cosθ

x = 4 sinθ cosθ

x = 2sin2θ

y = r sinθ

y = 4 sin²θ

Differentiate obtained values of x and y with respect to θ respectively,

dx/dθ = d(2sin2θ)/dθ

dx/dθ = 2cos2θ (2)

dx/dθ = 4cos2θ

Similarly,

dy/dθ = d(4sin²θ)/dθ

dy/dθ = 4sin2θ

Evaluate the slope (dy/dx) as follows:

dy/dx = (dy/dθ) / (dx/dθ )

dy/dx = (4 sin2θ) / (4 cos2θ)

dy/dx = (sin2θ) / (cos2θ)

dy/dx = (tan2θ)

At θ = π/6

slope = dy/dx

Substitute values,

slope = tan2( π/6)

slope = tan( π/3)

slope = √3.

Hence, the slope of the tangent line to the given polar curve at the specified point is √3.

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Answer:

Cluster analysis is used to identify groups of entities that have similar characteristics is a true statement.

Step-by-step explanation:

Cluster analysis is a statistical technique used to identify groups or clusters of entities that exhibit similar characteristics or behaviors. It is a common method employed in data mining, machine learning, and exploratory data analysis.

The goal of cluster analysis is to group data points or entities in a way that maximizes the similarity within each cluster and minimizes the similarity between different clusters. The similarity or dissimilarity between data points is typically measured using a distance or similarity metric, such as Euclidean distance or correlation coefficient.

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Answer:

just solve normally as if theres no x,

1. 26x

2. -7x

No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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To write the equation of a line parallel to 2y=5x+10 and goes through point (6,12), you first need to find the slope of the given line. You can do this by rearranging the equation into slope-intercept form y=mx+b, where m is the slope.

Rearranging 2y=5x+10 gives y=(5/2)x+5. So the slope of the given line is 5/2. Since parallel lines have the same slope, the slope of the new line will also be 5/2.

Next, you can use point-slope form to find the equation of the new line. The point-slope form is y-y1=m(x-x1), where (x1,y1) is a point on the line and m is the slope. Plugging in the point (6,12) and the slope 5/2 gives y-12=(5/2)(x-6).

Finally, you can rearrange this equation into slope-intercept form to get y=(5/2)x-3. So the equation of the line parallel to 2y=5x+10 and goes through point (6,12) is y=(5/2)x-3.

Answer:

it is because all the x values correspond to one number

Step-by-step explanation:

The future value of the investment when Jack is ready to purchase the vacation home is $44,924.

To solve this problem, we can use the formula for future value of an annuity:

FV = Pmt x [(1 + r)^n - 1] / r

Where:

Pmt = $1000 (quarterly contribution)
r = 0.021 (annual interest rate)
n = 40 (number of quarters until Jack turns 50)

Plugging in the numbers, we get:

FV = $1000 x [(1 + 0.021)^40 - 1] / 0.021
FV = $44,924.38

Therefore, the future value of Jack's investment, rounded to the nearest dollar, is $44,924. So the correct answer is $44,924.

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Answer:

x = 2

y = 9

Step-by-step explanation:

diagonals bisect each other

3x+6=12

3x = 6

x = 2

2y+9=27

2y=18

y=9

Answer:

yes is the 3rt answer

Step-by-step explanation:

Answer:

do you just add and multiply all of them?

Step-by-step explanation: