list the factors of 12

p  >  −  1

............................................................................................

Answer: D, 100

Step-by-step explanation:

Answer: 100 (D)

Step-by-step explanation:

cuz

The measure of distance x, that is, the distance between a point P and the point of horizon, is equal to 284.372 miles.

In this problem we must determine the distance between a point P located about earth's circumference and the point of horizon, located on earth's circumference. Since the line between these two points is tangent to earth, then, distance x can be found by Pythagorean theorem:

x = √[(3959 mi + 10.2 mi)² - (3959 mi)²]

x = 284.372 mi

The distance x is equal to 284.372 miles.

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The linear equation that passes through the two given points is

3y - 2x = 22

Remember that a linear equation that passes through the points (x₁, y₁) and (x₂, y₂) has a slope:

a = (y₂ - y₁)/(x₂ - x₁)

In this case the points are  (-5,4) and (10,14), then the slope is:

a = (14 - 4)/(10 + 5) = 10/15 = 2/3

Then the line is something like:

y = (2/3)*x + b

To find the value of b, you can replace the values of one of the points there.

14 = (2/3)*10 + b

14 - 20/3 = b

22/3 = b

Then the line is:

y = (2/3)*x + 22/3

3y = 2x + 22

3y - 2x = 22

That is the line that passes through the two points.

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Step-by-step explanation:

1 qt = 2 pts     multiply both sides by two

2 qt = 4 pints

Answer:

(B)

Step-by-step explanation:

it is an undefined

Answer:

1.5 inches

Step-by-step explanation:

Answer

Cos A / Cos B = 1

Explanation

Cos = Adjacent / Hypotenus

Cos A = adjacent / hypotenus

Cos A = 3 / 4.24

Cos B = Adjacent / hypotenus

Cos B = 3 / 4.24

Cos A / Cos B = 3 / 4.24 * 4.24 / 3

Cos A / Cos B = 1

The femur length for someone with height 164cm can be predicted by the nature of the equation of the line.

using the equation of the line in slope format we can get this

Therefore the graph predicts a femur length of 46.4 cm for a height of 164 cm

The equation for the transformed function g(x) is: g(x) = 2.323 (4) raise to the power x-0.872/2

How to solve a function?

If the function f(x) is vertically compressed by a factor of 1/2, the equation for the new function g(x) is given by:

g(x) = a(4) raise to the power x-k/2

where "a" and "k" are constants that need to be determined. To find these constants, we can use the fact that the original function f(x) is equal to g(x) when the compression is applied:

f(x) = g(x)/2

Substituting the expression for g(x) into this equation and simplifying, we get:

4raise to the power x - 6 = a(4)raise to the power x-k/2

To solve for "a" and "k", we need to find two equations involving these variables. One way to do this is to evaluate the expression for f(x) at two different values of x, and then set those equal to the corresponding values of g(x)/2. For example, we can choose x = 0 and x = 1:

f(0) = 4 - 6 = -5

f(1) = 4- 6 = -2

Using the equation g(x)/2 = f(x), we can write:

g(0)/2 = -5

g(1)/2 = -2

Substituting the expression for g(x) into these equations, we get:

a(4) raise to the power -k/2 = -10

a(4) raise to the power 1-k/2 = -4

Taking the ratio of these two equations, we can eliminate the variable "a" and solve for "k":

(4)raise to the power -k/2 / (4)  raise to the power 1-k/2 = -10 / -4

Simplifying this equation, we get:

4.raise to the power(1-k/2) = 5

Taking the logarithm of both sides (with base 4), we get:

1-k/2 = log4(5)

Solving for "k", we get:

k = 2 - 2 log4(5)

Substituting this value of "k" back into one of the equations we derived earlier, we can solve for "a":

a = -10 / (4)   raise to the power  -k/2

Substituting the numerical value of "k", we get:

k = 2 - 2 log4(5) ≈ 0.872

a = -10 / (4) raise ti the power  -k/2 ≈ 2.323

Therefore, the equation for the transformed function g(x) is:

g(x) = 2.323 (4)raise to the power x-0.872/2

or equivalently:

g(x) = 1.1615 (4) raise to the power -x0.872

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Answer:

g(x) = 1/2 (4)^x - 3

Step-by-step explanation:

A vertical compression by a factor of 1/2

means that the entire function f is multiplied by 1/2:

1/2 f (x) = 1/2 (4^x - 6)

= 1/2 (4)^x - 3

1. The transformation is translation 5 units down and 3 units to the left. The transformation rule is  (x, y) → (x - 3, y - 5)

2. The equation of the line passing through A(0, 5) and D(1, 3) is y = -2x + 5.

the y-intercept is (0, 5).

3. The equation of the line passing through points (2,-11) and (3,-14) is y = -3x - 5 and the y-intercept is (0, -5)

4. 7r³-3r²+20r

5. 5a³+a²

2. The slope of the line passing through (0, 5) and (1, 3) is:

m = (3 - 5) / (1 - 0) = -2

We can use the point-slope form of the equation of a line to find the equation of the line passing through (0, 5):

y - 5 = -2(x - 0)

Simplifying, we get:

y - 5 = -2x

y = -2x + 5

The y-intercept is the point when x is zero

y = -2(0) + 5 = 5

3. The slope of the line passing through (2,-11) and (3, -14) is:

m = (-14 - (-11)) / (3 - 2)

= -3

Now, we can use point-slope form of the line with point A(2,-11) and slope m=-3:

y - (-11) = -3(x - 2)

Simplifying the equation:

y + 11 = -3x + 6

Subtracting 11 from both sides, we get:

y = -3x - 5

The y-intercept

y = -3(0) - 5 = -5

4.

(9r³+5r²+11r)+(-2r³+9r-8r²)

9r³-2r³+5r²-8r²+11r+9r

7r³-3r²+20r

5.

(a³-2a²)-(-3a²-4a³)

collecting like terms

(a³-2a²+3a²+4a³)

a³+4a³-2a²+3a²

5a³+a²

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The ratio of EG = 36.

Let's assign variables to the lengths of the line segments:

EF = x

FG = 5x

GH = 3x

We know that EH = EF + FG + GH.

Substituting the given values, we have:

54 = x + 5x + 3x

Combining like terms, we get:

54 = 9x

To isolate x, we divide both sides of the equation by 9:

54/9 = x

Simplifying, we find:

6 = x

EF = 6, FG = 5(6) = 30, and GH = 3(6) = 18.

Since EG is the sum of EF and FG, we can calculate it as follows:

EG = EF + FG = 6 + 30

= 36

EG = 36.

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Answer:

$21 is the correct answer

Answer:

Step-by-step explanation:

First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35

0.35 (40) = 14

35 - 14 = 21

So, the discounted price is now $21.

1.111 liters of water must be added to 5 kilograms of soil.

According to the statement, water percentage is equal to the ratio of water mass divided by the total mass of water and dust and multiplied by 100. Then, the initial and final percentages are defined below:

Initial percentage

y / 5 = 0.12                              (1)

Final percentage

(y + x) / (5 + x) = 0.28             (2)

Then, we need to resolve the resulting system of linear equations:

y = 0.6                  (1)

y + x = 1.4 + 0.28 · x

0.72 · x = 1.4 - y

x = 1.944 - 1.389 · y

x = 1.111

We need to add 1.111 kilograms of water. If the density of a kilogram per liter, the volume required in liters is:

V = (1.111 kg) / (1 kg / L)

V = 1.111 L

1.111 liters of water must be added to 5 kilograms of soil.

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The quotient when 480 is divided by -60 is 8.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

The numbers given are 480 and -60.

Both are in opposite signs, that is one negative and other positive.

So the quotient will be negative.

Now divide 480 by 60.

Since both of the numbers contain 0 at the end, cancel it.

Then it becomes 48 divided by 6.

48 / 6 = 8

Hence the quotient is 8.

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MExact Form:

x

=

±

√

39

+

5

Decimal Form:

x

=

11.24499799

…

,

−

1.24499799

…

the criteria is required to ensure communication competence is The message achieves the intended effect. Option A

Communicative competence is simply described as the ability to achieve communicative goals in an appropriate and socially way.

It is well organized and goal-oriented, this means that it involves the ability to evenly select and apply skills that are appropriate and are also effective in a given context.

The different components of communication competence are;

Hence, the message should  always be effective for the context.

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Answer:

my bad but give me them points

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer: the answer is A

Step-by-step explanation:

The correct answer is C. It is the graph of f(x) translated 11 units to the left.

The correct answer is:

C. It is the graph of f(x) translated 11 units to the left.

When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.

In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.

The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.

Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.

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The measure of an exterior angle is equal to half the difference of the measure of intercepted arcs. For the given extrior angle:

Use the equation above to solve mDB:

Answer:

bobby

Step-by-step explanation:

-6 is a greater number for this problem

Answer:

5

Step-by-step explanation:

slope = (y₂ - y₁) / (x₂ - x₁)

         = (7 - 2) / (4 - 3)

         = 5 / 1

         = 5

The slope of the line passing through the points (3 2) and (4 7) is 5

The formula for calculating the slope of a line passing through the point (3 2) and (4 7) is expressed as:

\(m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{7-2}{4-3}\\m=\frac{5}{1} \\m=5\)

Hence the slope of the line passing through the points (3 2) and (4 7) is 5

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Answer:

148 and 143

147.667 round all of the cent you get 148 dollars

same as the first then you get 143 dollars

Answer:

£0

Step-by-step explanation:

To calculate the outstanding loan balance for each person after 10 years, we can use the following formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the principal (initial loan amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the time in years

For Olivia, we can calculate her outstanding balance after 10 years as follows:

P = £2000

r = 6.5% per year = 0.065

n = 1 (compounded annually)

t = 10 years

A = £2000(1 + 0.065/1)^(1*10) = £3829.71

After paying back £1000, Olivia's outstanding balance would be £2829.71.

For Sadie, we can calculate her outstanding balance after 10 years as follows:

P = £2000

r = 6.5% per year = 0.065

n = 1 (compounded annually)

t = 10 years

A = £2000(1 + 0.065/1)^(1*10) = £3829.71

After paying back £1000, Sadie's outstanding balance would be £2829.71.

To find the difference between Sadie's outstanding balance and Olivia's outstanding balance, we can subtract Olivia's balance from Sadie's balance:

£2829.71 - £2829.71 = £0

Therefore, Sadie does not owe more money than Olivia after 10 years, as both of their outstanding balances are the same at that point in time.

This text describes a scenario where two individuals, Olivia and Sadie, take out a loan of £2000 each at the same time. The loans have a compound interest rate of 6.5% per year. Compound interest is interest calculated on both the initial principal and the accumulated interest from previous periods.

Two years after taking out the loan, Olivia pays back £1000, which reduces her outstanding loan balance to £2000 plus accumulated interest. Three years after taking out the loan, Sadie pays back £1000, which also reduces her outstanding loan balance to £2000 plus accumulated interest.

The question asks how much more money Sadie owes than Olivia 10 years after taking out the loan. To solve this problem, we need to calculate the outstanding loan balance for both Olivia and Sadie after 10 years, using the compound interest formula. We can then subtract Olivia's outstanding balance from Sadie's outstanding balance to find the difference.

It's worth noting that the question specifies that the answer should be given in pounds to the nearest 1p, which means we need to round our final answer to the nearest penny.