The population of deer on an island is given by P(x) = 100(0.85)^x, where x represents the number of years. Determine the percent rate of change for the population of deer per year

Answer:

Please check explanations

Step-by-step explanation:

Mathematically;

csc 2 theta = 1 / sin 2 theta

Sin 2 theta = sin (theta + theta)

= 2sin theta cos theta

So therefore;

csc 2 theta = 1/2(sin theta cos theta)

= 1/2 * 1/sin theta * 1/ cos theta

1/sin theta = csc theta

1/cos theta = sec theta

Thus;

csc 2 theta = 1/2 * csc theta * sec theta

csc 2 theta = 1/2 sec theta csc theta

Answer:

There are 4 common factors of 30 and 72, that are 1, 2, 3, and 6. Therefore, the greatest common factor of 30 and 72 is 6.

Step-by-step explanation:

84/18=14/3

60/32=15/8

The equivalent expression for the new price of the item is 0.57b. With b be the original price of the item.

The original price of the item is represented by "b". Paul received a coupon for "43 percent" off one item at a clothing store. This means that the new price of the item will be the "original price" minus the discount. The discount is calculated by multiplying the original price by the percentage discount.
So, the discount is:
43 percent of b = 0.43 * b

The new price of the item is the original price minus the discount:
b - 0.43 * b = b - 0.43b

This expression can be simplified by combining the like terms. The like terms in this expression are b and -0.43b.
To combine like terms, we add the coefficients of the like terms:
1b + (-0.43)b = 0.57b

So, the equivalent expression for the new price of the item is:
0.57b

This means that the new price of the item is 57% of the original price. Therefore, the equivalent expression for the new price of the item is 0.57b.

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The derivative of log base b (x) = 1/x * 1/ln(b).

The derivative of log base is a concept in calculus that allows us to find the rate of change of a logarithmic function.

When we take the derivative of a logarithmic function, we are finding the rate at which the output of the function changes with respect to the input. In other words, we are finding the slope of the logarithmic curve at a particular point.

To find the derivative of log base, we use the logarithmic differentiation formula. This formula states that the derivative of the logarithmic function y = logb(x), where b is the base of the logarithm, can be found by dividing the derivative of x by x and then dividing by the natural logarithm of b.

So, the derivative of log base b (x) = 1/x * 1/ln(b).

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The space matrix is a strategic management tool that helps organizations analyze their internal dimensions by plotting their financial strength and competitive advantage on the axes. This analysis enables decision-makers to determine appropriate growth strategies and allocate resources effectively.

The two internal dimensions represented on the axes of the space matrix are technology and market diversity. This is determined by plotting the company's position on each dimension using a scale of one to six, with one being low and six being high. The space matrix then combines these two dimensions with two external dimensions (industry attractiveness and business strength) to create a visual representation of the company's position in the market. In summary, the space matrix assesses a company's competitive position and strategic choices by evaluating these four dimensions in a three-by-three matrix.

Financial Strength (FS): This axis represents the organization's financial position, which can include factors like revenue, profitability, and access to capital. A strong financial position allows a company to invest in new projects and face competition effectively. Competitive Advantage (CA): This axis represents the unique capabilities, resources, or attributes that give an organization an edge over its competitors. These can include aspects like superior products, strong brand recognition, and efficient supply chain management. A sustainable competitive advantage enables a company to maintain or improve its market position.

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Answer:

Step-by-step explanation:

For number 1, It is $52.4

Divide the cost by the number f days to get your constant

for number 2, It is 2

Just format it to y=mx+b

I do not know the answer to the third one

And the fourth one it is true with a 1/25 fraction

Answer:

The answer is E

Step-by-step explanation:

if you find the common numbers you get 45

Answer:

I think it's 42.2 I searched it up

The correct answer is Length of arc XY: 15.03 units.Area of shaded sector XY: 15.73 square units.

To complete the statements, we can use the properties of circles and the given information.

The length of the arc XY, denoted as "s," can be found using the formula:

s = (θ/360) * 2πr

where θ is the central angle in degrees and r is the radius of the circle.

Given that the central angle is 225° and the circumference of the circle is 30 units, we can solve for the radius (r):

Circumference = 2πr

30 = 2πr

r = 30 / (2π) ≈ 4.77 units (rounded to the hundredths place)

Now we can calculate the length of the arc XY:

s = (225/360) * 2π * 4.77 ≈ 15.03 units (rounded to the hundredths place)

Therefore, the length of the arc XY is approximately 15.03 units.

The area of the shaded sector XY, denoted as "A," can be found using the formula:

A = (θ/360) * πr²

Using the same values for θ and r as above, we can calculate the area:

A = (225/360) * π * (4.77)² ≈ 15.73 square units (rounded to the hundredths place)

Therefore, the area of the shaded sector XY is approximately 15.73 square units.

Note: Please double-check the formulas and calculations with the provided information to ensure accuracy.

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The measure of angle x is given as follows:

m < x = 28.3º.

First we obtain the length of the largest side, with the law of cosines, as follows:

x² = 2.6² + 1.8² - 2 x 2.6 x 1.8 x cosine of 108.4 degrees

x² = 12.954475

x = sqrt(12.954475)

x = 3.6 mi.

Then the measure of angle x is obtained using the law of sines, as follows:

sin(x)/1.8 = sin(108.4)/3.6

sin(x) = 1.8 x sine of 108.4 degrees/3.6

sin(x) = 0.474438

x = arcsin(0.474438)

m < x = 28.3º.

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Answer:

39 Minutes

Step-by-step explanation:

Given data

Total time for the car trip= 56minutes

Stoppage time= 17 minutes

Hence the time left for the trip

=Total time- Stoppage time

= 56-17

=39 Minutes

Answer:

Group 2

Step-by-step explanation:

Because in group 2 they have more 46 year old tourists so it is most likely that the random 46 year old belongs to group 2.

Answer:

(a) I'm pretty sure it's $71.75

(b) the total would be $771.75 if i calculated it right...

Answer:

-14x+6

Step-by-step explanation:

first, we distribute the -3.

-3(4x - 2) - 2x=-12x+6-2x

than, we conbide like terms

-12x+6-2x=-14x+6

Answer:

We know that the equation of the circle in standard form is equal to (x-h)² + (y-k)² = r² where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process "completing the square".

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

Answer:

(x-1)(x-2)

x=1, x=2

Step-by-step explanation:

Answer:

y = -1/2x - 2

Step-by-step explanation:

The formula of the slope-intercept is y = mx + b. The m is the slope while y is the y-intercept.

y = -1/2x - 2

To solve the problem we must know about Scientific notations.

The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12.

The number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

Given to us

The above number can be written as 2.21e+21.

As in scientific notations, the number between 1 and 10 can only be represented, therefore, the number can be only 2.21e+21.

Hence, the number of 221,000,000,000,000,000,000 can be represented as 2.21e+21.

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Answer: 60

Step-by-step explanation:

because it is an equilateral triangle the exterior angle and internal angle added together equals 180 just subtract 120 from 180 and you have 60

Answer:

10.53%

Step-by-step explanation:

The first step is to divide 2 by 19 to get the answer in decimal form: 2 / 19 = 0.1053 Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.1053 * 100 = 10.53%

Answer:

11%

Step-by-step explanation:

Divide 2 by 19 and then move the decimal place twice to the right. It should be 10.5 but if rounded it becomes 11 so 11%

Answer:

The height of the drawing should be: 8.5 cm

Step-by-step explanation:

Use the proportion given by the scale in order to find the height "h" that you need to draw:

\(\frac{30}{1} =\frac{255}{h} \\30=\frac{255}{h}\\30\,h=255\\h=\frac{255}{30}\\ h=8.5\,\,cm\)

Answer: 530.93

Step-by-step explanation:

if this is not the answer I am sorry. plz tell me if I am right.

I am working on area of circles.

Answer:

113°

Step-by-step explanation:

53+6+8= 67

180-67=113

Answer:

if the angles are the same then the lines are unable to point towards each other meaning they are parralel

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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In a case whereby Mrs. Carter's famous peanut butter cookies call for 1 cup of peanut butter for every 1 2 of a cup of oil. Today, she wants to make a huge batch with 1 cup of oil the amount of peanut butter she should use can be expressed as  2 cups of peanut butter.

The concept that will be used is simplification. Base on the provided information from the question,

(1/2 cup of oil )= (1 cup of peanut butter)

we can represent (1 cup of oil)  as  (x)

The if we perfor a Cross Multipliplication we have:

(1/2x) =( 1 × 1)

x = (1 × 2/1)

x = 2 cups of peanut butter.

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a. The current sale price for the computer system is given as follows: $618.4.

b. The amount paid by the club members, with the discount, is given as follows: $587.48.

The prices are found applying the proportions, which are the decimal equivalent of the percentages relative to each discount.

The selling price is of:

$773.

The markdown is of 20%, hence the current sale price is 100 - 20 = 80% of the selling price, hence:

0.8 x 773 = $618.4.

Club members get an additional discount, of 5%, meaning that they pay 95% of $618.4, and the amount is obtained as follows:

0.95 x 618.4 = $587.48.

The problem is given by the image presented at the end of the answer.

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Answer:

A=2035.75

V=4033.81

Step-by-step explanation:

Depending on which formula you need you will need to solve for the separate shapes then add the answers together.

Cone: A=pi×r(r+hSquared +rSquared)

V=pi×rSquared×h/3

Cylinder: A=2pi×rh+2pi×rSquared

V=pi×rSquared ×h