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

Answer:

D. None of the Above

Step-by-step explanation:

They don't relate whatsoever

the solution to the inequality is x ≤ -13 or x ≥ 11. we get this by solving inequality

what is inequality ?

An inequality is a mathematical expression that compares two values or quantities and indicates their relationship using inequality symbols such as "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

In the given question,

We can start by isolating the absolute value expression on the left side of the inequality by multiplying both sides by 2:

| x + 1 | ≥ 12

Next, we can split the inequality into two cases:

Case 1: x + 1 ≥ 0

In this case, the absolute value expression simplifies to x + 1, so we have:

x + 1 ≥ 12

x ≥ 11

Case 2: x + 1 < 0

In this case, the absolute value expression simplifies to -(x + 1), so we have:

-(x + 1) ≥ 12

-x - 1 ≥ 12

-x ≥ 13

x ≤ -13 (Remember to flip the inequality when multiplying or dividing by a negative number)

Putting the solutions from both cases together, we have:

x ≤ -13 or x ≥ 11

Therefore, the solution to the inequality is x ≤ -13 or x ≥ 11.

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Option 1 is correct, The point will be on 10 for the cost $240.

=> 0—————————-10—————————-20

By multiplying the data οbtained with such a nanοsectiοn variable whilst alsο twο that used the unitary methοd , the jοb can be finished. In essence, this mean that whenever a desired item appears, the specified entity is set οr the cοlοur space οf bοth prοductiοn runs is skipped. A varying fee οf Inr ($1.01) might have been necessary fοr fοrty pens.

Here,

Greg wants tο cοllect enοugh cash tο spend $210 οn a new bicycle. He needs tο make an extra $150 because he already has $60. He needs tο mοw the fοllοwing lawns in οrder tο make his $15 per lawn:

=> 150 ÷ 15 = 10 acres

Greg must mοw at least 10 yards in οrder tο accοmplish his οbjective. The number line shοwing hοw many fields he can mοw is as fοllοws:

=> 0—————————-10—————————-20

The number οf lawns he can mοw tο reach his οbjective is represented by any value οn this number line larger than οr equal tο 10. He will, fοr instance, be cοmpensated:

=> 12 × $15 = $180

He already has $60, sο after adding this, he will have:

=> $60 + $180 = $240

which will cοver the cοst οf the new mοtοrbike.

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The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

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The researchers analyzed data from more than two million individuals across multiple countries and found that both low and high BMI levels were associated with increased mortality risks.

Body Mass Index (BMI) is a commonly used statistical measure to assess an individual's body composition and determine if they are underweight, normal weight, overweight, or obese. BMI is calculated by dividing a person's weight (in kilograms) by the square of their height (in meters).

Here is a citation for a relevant research article on BMI:

Title: "Body Mass Index and Mortality: A Systematic Review and Meta-Analysis of Observational Studies"

Authors: Katherine M. Flegal, Barry I. Graubard, David F. Williamson, and Mitchell H. Gail

Journal: JAMA (Journal of the American Medical Association)

Year: 2005

Volume: 293

Issue: 15

Pages: 1861-1867

DOI: 10.1001/jama.293.15.1861

This article provides a comprehensive review and meta-analysis of multiple observational studies to examine the association between BMI and mortality. The researchers analyzed data from more than two million individuals across multiple countries and found that both low and high BMI levels were associated with increased mortality risks. The study concluded that maintaining a BMI within the normal range (18.5-24.9) was associated with the lowest mortality risk.

Citing this research article can provide valuable information about the relationship between BMI and mortality rates, which helps to understand the implications of BMI on health outcomes.

Please note that there is a vast amount of research available on BMI, and depending on your specific area of interest or focus, there may be other relevant articles that address different aspects or populations related to BMI.

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Answer:

Area = 50

Step-by-step explanation:

x2 = 36

x = 6

36 + 6 + 6 + 1 + 1 =50

the small squares = 1

Step-by-step explanation:

if u need a clearer photo please tell me

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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Step 1: Find the gradient/slope

Gradient and slope are interchangeable words. To find the gradient/slope we need to use two points that we know are on the line and the following formula: (y2 - y1) / (x2 - x1)

Point 1 = (0,1)

Point 2 = (3,13)

Gradient = (13 - 1) / (3 - 0)

Gradient = 12 / 3

Gradient = 4

Step 2: Find the y-intercept

We can use the slope-intercept form to find the y-intercept. To do so, we plug in the gradient and one of the points on the line. You can pick either point to plug in here!

Slope-intercept form: y = mx + b

-m is the gradient

-b is the y-intercept (that we are trying to find)

13 = 4(3) + b

13 = 12 + b

b = 1

Step 3: Put it all together in slope-intercept form

Now that we have the slope and y-intercept, all that's left to do is plug in the values.

y = mx + b

y = 4x + 1

Answer: y = 4x + 1

Hope this helps!!

When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.

The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.

Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.

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Answer:

omg hey barb !

Step-by-step explanation:

Answer:

w = 10.74

X = 13 degrees

V = 144 degrees

Step-by-step explanation:

If you draw a line from V which is perpendicular to XW, this line is VY (see attachment

then sin(W) = VY/VW

=> VY = VWsin(W) = 6 x sin23 = 6 x 0.39 = 2.34

since VYW is a right triangle with VW is hypotenuse

VW^2 = VY^2 + YW^2

YW^2 = VW^2 - VY^2 = 6^2 - 2.34^2 = 36 - 5.48 = 30.52

YW = 5.52

XY = XW - YW = 16 - 5.52 = 10.48

since triangle XYV is a right triangle with XV or w is hypotenuse

w^2 = VY^2 + XY^2 = 2.34^2 + 10.48^2 = 5.48 + 109.83 = 115.31

w = 10.74

sin(X) = VY/VX = 2.34/10.74 = 0.22

X = 13 degrees

V = 180 - (X + W) = 180 - (13 + 23) = 144 degrees

The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² + 8x − 6y + 21 = 0

The equation can be written as

x² + 8x + 16 + y² − 6y 9 = 4

(x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.

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Answer: ^ TDLR : 2 units / A

Step-by-step explanation:

edge 2023 x3

We know that:

- She has some of it complete, but the robot still needs 3 arms and 6 wheels.

- Patty has saved up $68, which is enough to buy the parts she needs.

- Arms costs $13 and wheels costs $4

We must find how much money is left after making the purchase.

To find it we must subtract the money spent on the purchase from the money saved.

- money spent:

Is the money spent when she buys the arms and the wheels

So, the money spent is equal to $63

- money saved

Is the money Patty has saved.

Patty has saved up $68.

Finally, subtracting the money spent on the purchase from the money saved

ANSWER:

After Patty buys the parts, $5 is left.

Answer:

the last one

Step-by-step explanation:

it is the one which is the most fair and would make sense, I don't exactly know how to explain it sorry

Based on fractional values, if Susan originally has 7 yards of fabric, after making 3 aprons consuming 5⁵/₈ yards, the quantity of fabric left is 1³/₈ yards.

Fractional values are the results of fractional computations.

Fractions may be proper, improper, and complex fractions, depending on the values of the denominators and the numerators.

Algebraic expressions that have fractions are stated as fractional values.

The original quantity of fabric that Susan has = 7 yards

The quantity of fabric used for the front of each apron = 1¹/₄ yards

The quantity of fabric used for the tie of each apron = ⁵/₈ yards

The total quantity of fabric used for each apron = 1⁷/₈ yards (1¹/₄ + ⁵/₈)

The total quantity of fabric used for the 3 aprons made = 5⁵/₈ yards (1⁷/₈ x 3)

Therefore, the remaining quantity of fabric that Susan has after making the 3 aprons = 1³/₈ yards (7 - 5⁵/₈).

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Susan first made 3 aprons using 1¹/₄ yards for the front and ⁵/₈ yards for the tie.

In order to draw the line and the angle APB which is 30°, here are the steps you should take.

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Answer:

17.5

Step-by-step explanation:

let 'x' = each congruent side

let '2x - 7' = side of base

x + 2x - 7 = 63

3x = 70

x = 17.5

The general solution of the given differential equation is y = ±√(8x³ + 2C) found using the variable separation method & integration.

Given differential equation: dy/dx = 12x²/y

To solve the given differential equation, we can use the method of variable separable.

The method of variable separable states that we need to bring all the x terms on one side and y terms on the other side and then integrate both sides.

Let's bring y to the left side and x to the right side:

y dy = 12x² dx

Integrating both sides:

∫y dy = ∫12x² dx(y²/2)

        = 4x³ + C ...(1)

Where C is the constant of integration.

Now taking square root both sides of the above equation, we get:

y = ±√(8x³ + 2C)

Thus, the general solution of the given differential equation is:

y = ±√(8x³ + 2C)

Answer: y = ±√(8x³ + 2C)

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The probability for those who used debit card will be 37%.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

From the information, Ava owns a small business selling clothing. She knows that in the last week 34 customers paid cash, 26 customers used a debit card, and 11 customers used a credit card.

The Total number of customers will be:

= 34 + 26 + 11

= 71

Therefore, the probability for those who used debit card will be:

= Number of debit cards users / Total customers × 100

= 26 / 71 × 100

= 37%

The probability is 37%.

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Using the product rule, then (A) is the answer.

Answer:

5

120

20

Step-by-step explanation:

To approximate the derivatives at the given points using the table, the most accurate method would be to use numerical differentiation methods such as finite difference approximations.

To approximate the derivatives at specific points using the given table, we can use either finite difference approximations or interpolation methods.

f'(0.2):

Since we have the points x=0.2 and its corresponding function value f(0.2), we can use a finite difference approximation using two nearby points to estimate the derivative. One method is the forward difference approximation:

f'(0.2) ≈ (f(0.4) - f(0.2)) / (0.4 - 0.2) = (b - a) / (0.2)

f'(0.4):

Again, we can use the forward difference approximation:

f'(0.4) ≈ (f(0.7) - f(0.4)) / (0.7 - 0.4) = (c - b) / (0.3)

f'(1.0):

To approximate f'(1.0), we can use a central difference approximation, which involves the points before and after the desired point:

f'(1.0) ≈ (f(1.1) - f(0.9)) / (1.1 - 0.9) = (f - d) / (0.2)

f'(1.4):

We can use the central difference approximation again:

f'(1.4) ≈ (f(1.6) - f(1.2)) / (1.6 - 1.2) = (g - i) / (0.4)

f"(1.1):

To approximate the second derivative f"(1.1), we can use a central difference approximation as well:

f"(1.1) ≈ (f(1.0) - 2f(1.1) + f(1.2)) / ((1.0 - 1.1)^2) = (e - 2f + h) / (0.01)

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Answer:$6.30

Step-by-step explanation:$1.80 • 3.5 =$6.30

Answer:

5.30

Step-by-step explanation:

I think that's it I'm so sorry if it's not

Answer:

(in order):  4, 8, -2, -2

Step-by-step explanation:

The slope of MN = -1.

The slope of M.N. = -1.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given information:

The two lines MN and M'N' are parallel.

Transformation rule:

Line MN was translated down to 4 units and right to 6 units to create line M'N'.

And line MN passes through two points (-2, 0) and (-6, 8).

Therefore, the slope of line MN,

= (8- 0)/(-6-2)

= -1

Since lines MN and M'N' are parallel, they have the same slope.

Therefore, the slope of M'N' is also -1.

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Answer:

see explanation

Step-by-step explanation:

In a parallelogram

• opposite sides are congruent

• the diagonals bisect each other

Then

UT = 27 ( congruent to  RS )

ST = 18 ( congruent to RU )

VS = 7 ( congruent to UV )

VT = 15 ( half of RT )