A campground allows a maximum of 6 campers in a camp site. How many camp sites does a group of 237 campers need?

Answers

Answer 1

a group of 237 campers would require 40 campsites (since we cannot have half of a campsite).

How to solve the question?

To determine the number of camp sites required for a group of 237 campers, we can divide the total number of campers by the maximum number of campers allowed per site.

237 campers ÷ 6 campers per site = 39.5

Since we cannot have a fraction of a campsite, we need to round up to the nearest whole number. This is because we need to ensure that there is enough space for all of the campers, and rounding up will ensure that we have enough sites to accommodate them.

Therefore, a group of 237 campers would require 40 campsites (since we cannot have half of a campsite).

It is important to note that while this calculation is a good starting point, it is always a good idea to check with the campground to ensure that they can accommodate a group of this size. Additionally, the campground may have specific policies or procedures in place for reserving campsites for large groups.

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Related Questions

23=J+68/5 solve this problem I will give you about 11 points

Answers

Answer:

PEMDAS. Division first. 68/5 is 13.6. Subtract 13.6 from 23 and the answer is 9.4. Therefore J = 9.4

Step-by-step explanation:

Billy has a credit card with a current balance of $3,500 and a 16% APR. With his current monthly payment, he will be able to pay off this debt in 15 months. But Billy just learned that he is getting a raise at work. If he puts all of the extra income from his raise into his monthly credit card payment, how much additional monthly income would he require from his raise to pay off the credit card in 12 months? a. $58.57 b. $171.37 c. $258.99 d. $317.56

Answers

Answer:

a. $58.57

Step-by-step explanation:

Billy is in a pickle. He has a credit card debt of $3500 with a 16% annual interest rate, and he wants to pay it off in a year. He also wants to ask his boss for a raise, but he doesn't know how much to ask for. Luckily, he has a friend who is good at math and can help him out.

The friend tells Billy that we need to use the formula for the monthly payment of a credit card debt, which is:

P = (r / 12) * B / (1 - (1 + r / 12)^(-n))

where P is the monthly payment, r is the annual interest rate, B is the current balance, and n is the number of months to pay off the debt.

Using this formula, the friend calculates how much Billy is currently paying and how much he would need to pay to clear his debt in 12 months. The friend also finds the difference between these two payments, which is the amount of extra income Billy would need from his raise.

The friend shows Billy the calculations and says:

"Here you go, Billy. You are currently paying $280.42 per month to pay off your debt in 15 months. If you want to pay it off in 12 months, you would need to pay $331.79 per month. That means you would need an additional monthly income of $51.37 from your raise. The closest answer choice to this amount is a. $58.57, so this is the best option."

Billy thanks his friend and says:

"Wow, you are amazing! Thank you so much for helping me out. I'm going to ask my boss for a raise right now. Wish me luck!"

The friend wishes Billy good luck and hopes that he will get his raise and pay off his debt soon.

every day ben goes for a 5/6 mile walk and his little sister walk 3/6 mile walk after 11 days how much farther has ben walk than his sister ? between what two whole numbers does your answer lie

Answers

The response falls between 3 and 4, as a result of: 11/3 = 3.67 as Ben therefore travelled 3 to 4 miles further than his sister.

what is distance ?

In geometry, the separation separating two points is determined by the length of the segment of a straight straight line linking them. In two- or two half space, this is referred to as the Euclidean distance. Distance is a crucial idea that is applied in numerous contexts in real life. For instance, distance is employed in transportation to gauge route length and determine trip times. Distance is a unit of measurement used in sports to indicate how far apart two things are or how long a race is. The measurement of distance to celestial objects is a common practise in many scientific disciplines, including astronomy.

given

Ben covers the following distance after walking 5/6 miles per day for 11 days:

11 days at 5/6 miles each day equal 55/6 miles.

Over the course of 11 days, his sister covered a total distance of:

11 days at 3/6 miles per day equal 33/6 miles.

We must take the distance between them out to determine how much farther Ben went than his sister:

22 miles from 55/6 miles to 33/6 miles.

By multiplying the numerator and denominator by 2, we may reduce the following fraction:

22/6 = 11/3

Ben therefore travelled 11.33 miles further than his sister.

The response falls between 3 and 4, as a result of: 11/3 = 3.67 as Ben therefore travelled 3 to 4 miles further than his sister.

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If three squares have sides that make an acute triangle, then the sum of the areas of the two small squares...

If three squares have sides that make an obtuse triangle, then the sum of the areas of the two small squares...

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares...

Answers

The Pythagorean Theorem can be utilized in any situation to establish a connection between the side lengths of the squares and the sort of triangle that results.

What is the Pythagorean Theorem?

Let's use the notation "a, b, and c" to indicate the three squares' side lengths, where "a" stands for the shortest side, "b" for the midpoint, and "c" for the longest side.

The area of the largest square (c), which is created by the hypotenuse of the triangle, is equal to the sum of the areas of the two smaller squares when three squares' sides form an acute triangle.

The areas of the two smaller squares (a and b) formed by the two larger squares (a and b) are equal when three squares have sides that form an obtuse triangle.

If three squares have sides that make a right triangle, then the sum of the areas of the two small squares is equal to the area of the largest square (c) formed by the hypotenuse of the right triangle.

In all cases, the Pythagorean Theorem can be used to determine the relationship between the side lengths of the squares and the type of triangle formed.

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Which statement is true?

f 0.09>78
g 8.0×10-3>6%
h 78<8.0×10-3
j 6%<0.09

Answers

Answer:g maybe

Step-by-step explanation:

this is due now pls explain how to do this

Answers

Answer:

  C. Vertical angles

Step-by-step explanation:

Given angles 5 and 8 where line c crosses line a, you want to know what type they are.

Crossing lines

Where two lines cross, four angles are formed. They all share the vertex point where the lines intersect. If they share a side (and no interior space), they are adjacent angles that form a linear pair. As such, they are supplementary.

In the given figure the supplementary angle pairs where line c crosses line a are ...

  (5, 6), (6, 8), (7, 8), (5, 7)

If the angles do not share a side, but are formed from opposite rays, they are "vertical angles" and are congruent.

The vertical angle pairs there are ...

  (5, 8), (6, 7)

Angles 5 and 8 are vertical angles, choice C.

__

Additional comment

Angle pairs (1, 8) and (2, 7) are "alternate exterior angles." Angle pairs (3, 6) and (4, 5) are "alternate interior angles."

Assuming lines b and c are parallel, considering also angles where line b crosses line a, there are additional supplementary pairs of angles:

  (1, 2), (2, 4), (3, 4), (1, 3), (1, 6), (1, 7), (2, 5), (2, 8), (3, 5), (3, 8), (4, 6), (4, 7)

When parallel lines are crossed by a transversal, all of the acute angles are congruent, all of the obtuse angles are congruent, and the acute angles are supplementary to the obtuse angles. The angles are referred to by different names (and different theorems), depending on where they are in relation to the transversal and the parallel lines.

The problem here is mostly concerned with vocabulary. The "how to do this" is "learn the vocabulary."

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A rectangular box has a volume of 3,840 cubic inches. The length of the box is 20 inches and the height of the box is 16 inches. Determine the width of the box. Question 4 options: 11 inches 12 inches 13 inches 14 inches

Answers

The width of the rectangular box is 12 inches.

How to determine the width of the rectangular box?

Remember that the volume of a box of length L, width W, and height H is:

V = H*W*L

Here the volume is 3,840 cubic inches. The length of the box is 20 inches and the height of the box is 16 inches. Replacing that in the formula we will get:

3840 = 20*16*W

Solving that for W we will get:

3840/(20*16) = W

12 = W

The width is 12 inches.

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|4x-4(x+1)|=4
put all answers for x on number line

Answers

In the bottom, To see the number line of |4x-4(x+1)|=4.

Absolute Value:

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.

The expression is:

|4x-4(x+1)|=4

First simplify in the absolute value

Distribute

|4x−4x-4|=4

|-4|=4

Taking the absolute value

4 =4

This is always true

X is all real numbers

Pick any value for x and it will be a true statement

Put the value of x=0

|4*0−4(*0+1)|=4

|-4|=4

Let taking a value of x = 5

|4*5−4(5+1)|=4

|20−24|=4

|−4|=4

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Plot and connect the points A (6, -7), B (1, -7), C (1, -4), D (3, -2), E (7. -2), F (7,-4), and find the length of AB.
OA. 6 units
O B.
7 units
O C.
5 units
D. 8 units

Answers

Using distance formula, the distance between AB is 5 units and the graph of the coordinates from A to F are attached below

What is the length of AB

To find the length of AB, we have to use distance formula which is given as

AB = √(x₂ - x₁)² + (y₂ - y₁)²

substituting the values into the equation;

AB = √(1 - 6)² + (-7 - (-7))²

AB = 5

The length of line AB is 5 units

To plot the points from A to F, we have to use a graphing calculator, input the points and draw all lines

Kindly find the attached graph of all the coordinates from A to F below

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units Answer:

5

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment whose endpoints
are(-1, , -8) and (5, 4).

Answers

An equation in slope-intercept form for the perpendicular bisector of the line segment with endpoints (-1, -8) and K (5, 4) is y = 2x - 6.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 8)/(5 + 1)

Slope (m) = 12/6

Slope (m) = 2.

At data point (-1, -8) and a slope of 2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-8) = 2(x - (-1))

y + 8 = 2x + 2

y = 2x - 6.

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Write and solve the inequality.
six less than the product 1/4 of a number n and
is no more than 97.

Answers

The solution to the inequality is n ≤ 412.

What is inequality?

An inequality is a statement that asserts that two values are not equal. An inequality can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

According to question:

The inequality can be written as:

(1/4)n - 6 ≤ 97

To solve for n, we will isolate n on one side of the inequality. First, we can add 6 to both sides:

(1/4)n ≤ 103

Then, we can multiply both sides by 4:

n ≤ 412

Therefore, the solution to the inequality is:

n ≤ 412

This means that any number less than or equal to 412 satisfies the original inequality.

For example, "x > 5" is an inequality that states that the value of x is greater than 5. The inequality "y 10" indicates that the value of y is less than or equal to 10.

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If f(1)=4 and f(n)=-3f(n-1) , then find the value of f(6).

Answers

the value of f(6) is -972.To understand why f(6) is equal to -972, we can think of the recursive formula as a process that generates a sequence of numbers. Starting with f(1) = 4, we can apply the formula repeatedly to generate the sequence:

4, -12, 36, -108, 324, -972, ...

How to solve the question?

We can use the recursive formula given to find the value of f(6). Let's start by calculating f(2):

f(2) = -3f(1) = -3(4) = -12

Next, we can calculate f(3) using the same formula:

f(3) = -3f(2) = -3(-12) = 36

We can continue this process for f(4) and f(5):

f(4) = -3f(3) = -3(36) = -108

f(5) = -3f(4) = -3(-108) = 324

Finally, we can use the formula to find f(6):

f(6) = -3f(5) = -3(324) = -972

Therefore, the value of f(6) is -972.

To understand why f(6) is equal to -972, we can think of the recursive formula as a process that generates a sequence of numbers. Starting with f(1) = 4, we can apply the formula repeatedly to generate the sequence:

4, -12, 36, -108, 324, -972, ...

Each term in the sequence is obtained by multiplying the previous term by -3. We can see that the sequence alternates between positive and negative values, with the magnitude of each term growing rapidly. By the time we reach f(6), the magnitude has grown to 972, and the negative sign indicates that the term is negative. Thus, f(6) is equal to -972.

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cupcake delight shop made 4 1/2 as much revenue on doughnuts as muffins. if total sales were 44,000 what dollar amount of each was sold?

Answers

The revenue from muffins was $8,000. To find the revenue from doughnuts: 4.5x = 4.5 * 8,000 = $36,000 Therefore, the cupcake delight shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.

Let's use the given terms and set up a system of equations to solve this problem:

Let x be the revenue from muffins, and y be the revenue from doughnuts. We know the following:

1. y = 4.5x (Cupcake Delight Shop made 4 1/2 times as much revenue on doughnuts as muffins)
2. x + y = 44,000 (Total sales were $44,000)

Now we'll solve the system of equations step-by-step:

Step 1: Replace y with 4.5x in the second equation (using equation 1):
x + 4.5x = 44,000

Step 2: Combine the x terms:
5.5x = 44,000

Step 3: Divide both sides by 5.5 to solve for x:
x = 8,000

Step 4: Plug x back into equation 1 to find y:
y = 4.5 * 8,000
y = 36,000

So, Cupcake Delight Shop sold $8,000 worth of muffins and $36,000 worth of doughnuts.

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The dollar amount of muffins sold is $8,000, and the dollar amount of doughnuts sold is $36,000.

To solve this problem, let's assign variables to the revenue for doughnuts and muffins:
Let D = revenue from doughnuts
Let M = revenue from muffins
We are given that the shop made 4 1/2 times as much revenue on doughnuts as muffins:
D = 4.5M
We are also given that the total sales were $44,000:
D + M = 44,000
Now, we can solve for the dollar amount of each item sold:
Replace D with 4.5M in the second equation:
4.5M + M = 44,000
Combine like terms:
5.5M = 44,000
Divide by 5.5 to isolate M:
M = 44,000 / 5.5
M = 8,000
Plug the value of M back into the first equation to find the value of D:
D = 4.5M
D = 4.5 × 8,000
D = 36,000.

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What is the value of the following expression?
2 + [(15 + 3) × 2]

Answers

The value of the expression is 38.

Here's the breakdown:

- First, we need to evaluate the expression within the parentheses: 15 + 3 = 18.
- Next, we multiply that result (18) by 2: 18 × 2 = 36.
- Finally, we add 2 to that result: 36 + 2 = 38.

Step-by-step explanation:

The value of the expression can be calculated using the order of operations, also known as PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

The expression is:

2 + [(15 + 3) × 2]

According to PEMDAS, we should first evaluate the expression within the parentheses:

15 + 3 = 18

So, the expression becomes:

2 + [18 × 2]

Next, we perform the multiplication:

18 × 2 = 36

Now, we substitute the result back into the original expression:

2 + 36

Finally, we perform the addition:

2 + 36 = 38

So, the value of the given expression is 38.

216,36,6,... Find the 8th term. Find the 8th term.

Answers

Answer:

t8 term is

[tex] \frac{ 1}{1296} [/tex]

Electric utility poles in the form of right cylinders are made out of wood that costs $25. 97 per cubic foot. Calculate the cost of a utility pole with a diameter of 1. 5 ft and a height of 45 ft. Round your answer to the nearest cent

Answers

Rounding to the nearest cent, the cost of the utility pole is $2,061.33 with a diameter of 1. 5 ft and a height of 45 ft.

To calculate the cost of a utility pole, we first need to find its volume, which is the product of its height and the cross-sectional area of its base. Since the pole is in the form of a right cylinder, the cross-sectional area of its base is a circle with radius equal to half the diameter, which is 0.75 ft. Therefore, the cross-sectional area is:

Area = πr^2 = π(0.75)^2 = 1.767 ft^2

The volume of the pole is then:

Volume = Area x Height = 1.767 x 45 = 79.515 ft^3

Finally, we can calculate the cost of the pole by multiplying its volume by the cost per cubic foot of wood:

Cost = Volume x Cost per cubic foot = 79.515 x $25.97 = $2,061.33

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What is the value of x when -3x + 7x = -12?
A -6/5
B -3
C 6/5
D 4/7
E 3
I NEED AN ANSWER ASAP!

Answers

Answer is B. -3

Explanation:

-3x + 7x = -12

1) Collect like terms

4x = -12

2) Divide both sides 4

3) The answer

x= -3

A rectangle has the following dimension:
Length (x+1) cm
Width x cm.
Find the perimeter of the retangle.
A.(4x+2) cm^2
B.(2x+1) cm
C.(2x+1) cm^2
D.(4x+2) cm

Answers

Answer:

The process is below and the answer is D.

Step-by-step explanation:

[tex]perimeter \: = 2(l + b) \\ = 2((x + 1)cm + xcm) \\ = 2(x + 1 + x) \\ = 2(2x + 1)[/tex]

[tex](4x + 2)cm[/tex]

I hope it helped you

please Mark me the brainliest

I need help on this question

Answers

Answer:

Step-by-step explanation:

I think it’s b

5 because it rises 5 but only goes over 1 so 5/1 aka 5

A box measures 48 inches long, 22 1/2 inches wide, and 32 inches high. What is the volume of the box

Answers

The volume of the box should be 34,560 cubic inches.

v=l*w*h

v=48*22.5*32

(22 1/2 = 22.5)

v=34,560

How do you solve this?

Answers

Answer:

[tex] \sqrt{ \frac{4}{49 {d}^{4} } } = \frac{2}{7 {d}^{2} } [/tex]

(ASAP!) In the diagram the smaller triangle is an image of the larger triangle.​ a) Name the angle in the image that corresponds to in the preimage.​ b) List all pairs of corresponding sides.

Answers

1. ∠B is the primage of ∠B'. They are similar triangles.

2. AC ≈AC'

CB ≈ CB'

AB ≈ AB'

what is meant by the preimage when discussing angles?

When discussing angles, the preimage refers to the original angle before any transformation has occurred.

In geometry, a transformation refers to the process of moving or changing the position, shape, or size of an object. For example, if an angle is rotated or reflected, the resulting image of the angle would be the transformed angle.

The preimage is the angle before the transformation occurred. It is used to determine the relationship between the original angle and the transformed angle, such as whether they are congruent, similar, or related by another geometric property.

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An official NHL hockey puck is shaped like a cylinder with a diameter of 3 inches and a volume of 7.1 cubic inches. What is the height of a hockey puck?

Answers

Answer: the height of the hockey puck is approximately 0.835 inches.

Step-by-step explanation: The formula for determining the volume of a cylinder is as follows:

The formula for the volume (V) of a cylinder can be expressed mathematically as V = πr2h, where r represents the radius of the cylinder's base and h represents the height of the cylinder. This formula is derived from the concept that the volume of a cylinder can be calculated by multiplying the area of its base (which is represented by the term πr2) by its height (h).

The present study utilizes the conventional nomenclature in which V denotes the volume, r represents the radius, and h stands for the height.

As the diameter of the hockey puck is measured to be 3 inches, it follows that the radius is equivalently calculated as 1.5 inches, or precisely half of the diameter.

It is established that the hockey puck has a volume of 7.1 cubic inches; accordingly, by substituting these known values into the relevant formula and performing the appropriate calculations, the measurement of h may be ascertained.

The expression 7.1 = π(1.5)^2h can be reformulated in a more academic manner. It can be said that the equation represents the mathematical relationship between the volume of a cylinder and its dimensions, wherein the value of 7.1 denotes the volume of the cylinder, whereas π, 1.5, and h refer to the mathematical constants of pi, radius, and height, respectively. Thus, the formula can be expressed as V = πr^2h, where V represents the volume of the cylinder, r denotes the radius, and h denotes the height.

The process of reducing something to its simplest form. Rewritten: The act of simplification involves distilling a concept or idea to its most basic, essential components. This process aims to facilitate a clear and concise understanding of the subject matter, allowing for greater comprehension and ease of communication.

The numerical expression 7.1 = 2.25πh can be written in a more formal and academic manner. Specifically, the equation can be rephrased as an algebraic relationship between the variables involved. More concisely, the equation describes the result of a multiplication between the constant factor 2.25π and the variable h, which according to the equation equals 7.1. As such, it can be represented by the following expression: 2.25πh = 7.1

Dividing each side by 2.25π is a logical mathematical operation utilized to simplify an equation or expression.

The aforementioned equation may be expressed in an academic tone as follows: The value of h is equivalent to the quotient obtained from dividing 7.1 by 2.25 times the mathematical constant π.

The employment of a calculator to compute the aforementioned expression:

The observed value of h is approximately equal to 0.835 inches.

Write a matrix that when multiplied by any point [x/y] would have the effect of rotating the point 90 degrees counterclockwise. Also determine the algebraic effect of performing the transformation on the point A.

Answers

The result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].

Define rotation

Rotation is a transformation in geometry that involves turning or spinning an object around a fixed point called the center of rotation. The center of rotation remains stationary while all the points of the object move along circular paths, at the same angle and distance from the center.

To rotate a point [x/y] counterclockwise by 90 degrees, we can use a 2x2 matrix of the form:

[ 0 -1 ]

[ 1 0 ]

To multiply this matrix by a point [x/y], we can use the following matrix multiplication:

[ 0 -1 ] [ x ] [ -y ]

[ 1 0 ] [ y ] = [ x ]

So, if we have a point [x/y] and we want to rotate it 90 degrees counterclockwise, we can multiply it by the matrix [ 0 -1 ; 1 0 ] to get the new point [-y/x].

To rotate a point 90 degrees counterclockwise using a matrix, we need to represent the point as a column matrix and then multiply it by the 2x2 rotation matrix.

Assuming that the point is [x, y] = [-5, 2], we can represent it as a column matrix:

| -5 |

| 2 |

To rotate the point counterclockwise by 90 degrees, we can use the following 2x2 rotation matrix:

| 0 -1 |

| 1 0 |

Multiplying the rotation matrix by the column matrix representing the point gives:

| 0 -1 | | -5 | | 2 |

| 1 0 | ×| 2 | = | -5 |

So the result of rotating the point [-5, 2] by 90 degrees counterclockwise is the point [2, -5].

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The population of wild tigers in Nepal can be modeled by the equation LaTeX: p=130\left(2\right)^x

p

=

130

(

2

)

x

, where x is the number of years since 2009.


Part A


Assuming the population growth rate continues, an equation that represents the number of years from 2009 it will take for the population of wild tigers in Nepal to reach 1,000 can be expressed as LaTeX: x=\log_ba

x

=

log

a

b

, where a and b are >0. What are the values of a and b?




Part B


Approximately how many years from 2009 will it take for the population of wild tigers in Nepal to reach 1,000? Round your answer to the nearest whole number

Answers

Part A

According to the equation, the values of a is a = 2009 + f(a) and b is b = 800 + f(b).

Part B

Approximately it takes 8 years from 2009 for the population of wild tigers in Nepal to reach 800.

To find these values, we need to set the equation for the population of wild tigers equal to 800 and solve for x. The equation becomes 800 = 121(2)ˣ.

Taking the logarithm of both sides, we get

=> log(800) = log(121) + x log(2).

Solving for x, we get

=> x = (log(800) - log(121))/log(2).

Moving on to the second part of the problem, we are asked to determine approximately how many years from 2009 it will take for the population of wild tigers in Nepal to reach 800. Using the equation we derived in Part A, we can plug in values of a and use trial and error to find the answer. However, this can be time-consuming.

Instead, we can use a calculator to get an approximate answer. Plugging in the values for log(800) and log(121) into the equation we derived in Part A, we get x = 7.75.

Therefore, it will take approximately 8 years from 2009 for the population of wild tigers in Nepal to reach 800.

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The vertices of a figure are given. Rotate the figure as described. Find the coordinates of the image.

E(−4, 1), F(−3, 3), G(−2, 3), H(−1, 1)

180°
about the origin

Answers

When a figure is rotated 180° about the origin, the x-coordinates and y-coordinates of each point are multiplied by -1 to find the coordinates of the image.

The coordinates of the image of E(−4, 1) would be (4, -1).
The coordinates of the image of F(−3, 3) would be (3, -3).
The coordinates of the image of G(−2, 3) would be (2, -3).
The coordinates of the image of H(−1, 1) would be (1, -1).

Therefore, the coordinates of the image of the figure after a 180° rotation about the origin would be:
(4, -1), (3, -3), (2, -3), and (1, -1).

write a quadratic function in vertex form whose graph has the vertex (-3,5) and passes through the point (0,-14)

Answers

Answer:

y = [tex]-\frac{19}{9} (x+3)^{2} + 5[/tex]

Step-by-step explanation:

The form of a quadratic function is y = a(x-h)^2 + k, where (h, k) is the vertex. From the givens in the problem, we know that (h, k) = (-3, 5), and another point on it will be (x, y) = (0, -14). Plug both of these into the equation to get:

-14 = a(3)^2 + 5

-19 = 9a

a = -19/9

∴ The equation is y = [tex]-\frac{19}{9} (x+3)^{2} + 5[/tex]

graph the solution set of the inequality -6 1/2y+9>-17

Answers

The graph of the solution set can be seen in the image at the end.

How to find the solution set for the inequality?

Here we have the inequality:

-(6 + 1/2)y + 9 > -17

First, we need to isolate the variable y, then we will get:

9 + 17 > (6 + 1/2)y

26 > 6.5y

26/6.5 > y

4 > y

The graph of this will be an open circle at y = 4, and an arrow that goes to the left, the graph can be seen in the image at the end.

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what is 6.9cm *10000000m​

Answers

The value of the product is 6.9  × 10⁵ m

How to determine the product

It is important to note that to determine the product of two different measurements, we need to make sure they have the same units.

Now, we have that;

6.9cm *10000000m​

First, let's convert the centimeters to meters , we have;

1m = 100cm

then, xm = 6.9cm

cross multiply the values

x = 6.9/100

Divide the values

x = 6. 9 × 10⁻²m

Then, we have;

6. 9 × 10⁻² × 10⁷m

Multiply the values and add the exponents

6. 9  × 10⁻²⁺⁷

Add the values

6.9  × 10⁵ m

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If the area was equal to 8w solve to find the values of w.
A=2w^2 - 16w

Answers

Answer:

hence the value of w is 12

Step-by-step explanation:

[tex]area = 2 {w}^{2} - 16w \\ by \: the \: question \: if \: area \: is \: equal \: to \: 8w \\ 8w = 2w {}^{2} - 16w \\ 8w + 16w = 2 {w}^{2} \\ 24w = 2 w {}^{2} \\ w = 12[/tex]

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