if every 500 points is 00.5 how many points will it take to get 5.00?

The exponential function that models the population of tiger gar in the lake is given as follows:

\(y = 322.63(1.25)^x\)

An exponential function has the definition presented as follows:

\(y = ab^x\)

In which the parameters are given as follows:

Considering x as the number of years since 2016, the points are given as follows:

(0, 322), (1, 399), (2, 507), (3, 618), (4, 785), (5, 957).

Inserting these points into an exponential regression calculator, the equation is given as follows:

\(y = 322.63(1.25)^x\)

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Answer:7%

Step-by-step explanation:the store is rapidly selling laptops

1. The probability that no laptops will be sold next week is very low, as the store has an average of 3 laptops sold per week. This probability can be calculated using the Poisson distribution, which is a probability distribution used to model the number of times an event occurs within a given time period. The probability of no events occurring within a given time period is given by the formula:P(x=0) = e^(-lambda)

Where lambda is the average number of events per time period. In this case, the probability that no laptops will be sold next week is:

P(x=0) = e^(-3) = 0.0498

2. The probability that a laptop will be sold next week can also be calculated using the Poisson distribution. The probability of at least one event occurring within a given time period is given by the formula:

P(x>=1) = 1 - P(x=0) = 1 - e^(-lambda)

In this case, the probability that a laptop will be sold next week is:

P(x>=1) = 1 - e^(-3) = 0.9502

3. The probability that only one laptop will be sold tomorrow (Tuesday) can be calculated using the Poisson distribution. The probability of x events occurring within a given time period is given by the formula:

P(x) = (lambda^x * e^(-lambda)) / x!

Where lambda is the average number of events per time period and x is the number of events being considered. In this case, the probability that only one laptop will be sold tomorrow is:

P(x=1) = (3^1 * e^(-3)) / 1! = 3 * e^(-3) = 0.224

Note that this probability assumes that the store sells laptops at a constant rate throughout the week, and does not take into account any variations in demand or other factors that may affect the number of laptops sold on a given day.

a) The algebraic fraction \(\frac{{x + 2}}{{(x - 1)^2}}\) is proper. b) The algebraic fraction \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\) can be expressed as \(-\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

Let's solve each part step by step and determine whether the fraction is proper or improper, and then express it accordingly.

a) \(\frac{{x + 2}}{{(x - 1)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 1 (linear term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is less than the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

\(\frac{{x + 2}}{{(x - 1)^2}} = \frac{A}{{x - 1}} + \frac{B}{{(x - 1)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 1)^2)\) to eliminate the denominators:

  (x + 2) = A(x - 1) + B.

Expand the equation and collect like terms:

  x + 2 = Ax - A + B.

Equate the coefficients of like terms:

  Coefficient of x: 1 = A.

  Constant term: 2 = -A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = 1.

Substituting A = 1 into the constant term equation: 2 = -1 + B, we find B = 3.

Therefore, the partial fraction decomposition is:

  \(\frac{{x + 2}}{{(x - 1)^2}} = \frac{1}{{x - 1}} + \frac{3}{{(x - 1)^2}}\).

b) \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}}\):

Step 1: Determine the degree of the numerator and the denominator:

  - Degree of the numerator = 2 (quadratic term)

  - Degree of the denominator = 2 (quadratic term)

Since the degree of the numerator is equal to the degree of the denominator, the fraction is proper.

Step 2: Express the proper fraction in partial fractions:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = \frac{A}{{x - 4}} + \frac{B}{{(x - 4)^2}}\).

Step 3: Find the values of A and B:

Multiply both sides of the equation by \(((x - 4)^2)\) to eliminate the denominators:

  (4x^2 - 31x + 59) = A(x - 4) + B.

Expand the equation and collect like terms:

  4x^2 - 31x + 59 = Ax - 4A + B.

Equate the coefficients of like terms:

Coefficient of \(x^2\): 4 = 0 (No \(x^2\) term on the right side).

Coefficient of x: -31 = A.

Constant term: 59 = -4A + B.

Solve the system of equations to find the values of A and B:

From the coefficient of x, A = -31.

Substituting A = -31 into the constant term equation: 59 = 4(31) + B, we find B = -25.

Therefore, the partial fraction decomposition is:

  \(\frac{{4x^2 - 31x + 59}}{{(x - 4)^2}} = -\frac{{31}}{{x - 4}} - \frac{{25}}{{(x - 4)^2}}\).

The above steps provide the solution for each part, including determining if the fraction is proper or improper and expressing it in partial fractions.

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Answer:

a. x = 6000 - 200p

b. E(p) = p / (p - 30)

c. E(15) = -1

d. %change in Δ  = -20p/30-p

Step-by-step explanation:

P + 0.005x = 30

a. P + 0.005x = 30

  -P                   -P

         0.005x = 30 - p

We divide both side by 0.005

0.005x = 30 - p

0.005      0.005

x = 30 - p / 0.005    -----> x = 6000 - 200p

b. E (b) = b/x * dx/dp

x = 6000 - 200p

dx/dp = -200

E(p) = p/x (-200)

E(p) = p / 6000 - 200p * (-200)

E(p) = p / 200(30-p) * (-200)

Cross through by the 200

E(p) = p / (30 - p)

E(p) = p / (p - 30)

c. E(p) = p / (p - 30)

E(15) = 15 / (15-30)

E(15) = 15 / -15

E(15) = -1

This implies that if price increases 1 units, then demand goes down by 1 unit.

d. dx/dp = -200

Δx = dy/dp Δp = (-200) 20p/100

Δx/x = -40/x = -40P / 6000 - 200p

%change in Δ = Δx/x * 100 = -40p/60 - 2p

%change in Δ  = -20p/30-p

Answer: A 2,2

Step-by-step explanation: 1 - 1 something

Explanation:

The given expression:

7+9j=8j

collect like terms:

7 = 8j - 9j

7 = -1j

7 = -j

Divide through by -1

-j/-1 = 7/-1

Note: the division of opposite signs give negative number while the division of same sign gives positive number

j = -7

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer:

53.  

Step-by-step explanation:

Answer:

Explanations:

Given the formula expressed as:

We are to make the variable "h" the subject of the formula as shown;

Step 1: Multiply both sides by 3:

Step 2: Swap sides

Step 3: Divide both sides by s^2

Hence the expression for calculating the variable "h" from the formula is expressed as:

The expected value of the game is -1/2.

This means that, on average, the player can expect to lose 1/2 dollar per game in the long run.

To find the expected value of the game, we need to calculate the probability of each outcome and multiply it by its associated value, then sum up the results.

In a standard deck of playing cards, there are 26 red cards (13 hearts and 13 diamonds) and 26 black cards (13 clubs and 13 spades).

Since drawing a card is a random event, the probability of drawing a red card is the number of favorable outcomes (red cards) divided by the total number of possible outcomes (52 cards).

Probability of drawing a red card:

P(Red) = Number of red cards / Total number of cards = 26/52 = 1/2

Now, let's calculate the expected value:

Expected Value = (Probability of winning) × (Value of winning) + (Probability of losing) × (Value of losing)

In this game, if the player wins, they gain 1 dollar, and if they lose, they lose 2 dollars.

Expected Value = (1/2) × (+1) + (1/2) × (-2) = 1/2 - 2/2 = -1/2

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Answer:

12-4r

Step-by-step explanation:

4r<12 because r<3 so you flip it.

Answer:

a number p, 14 - p

Step-by-step explanation:

Answer:

B:<

Step-by-step explanation:

You can solve this question with fractions. The way I did it was by changing both equations into fractions like this: 6÷7=6/1x1/7=6/7 and     7÷8=7/1x1/8=7/8. Since they don't have a common denomintor and you still dont know which fraction is bigger/smaller, we are going to find a common denominator which is 56. After converting both fractions, (6/7=48/56 and 7/8=49/56)  Now you can see that 7/8 is bigger than 6/7, which shows that 6÷7<7÷8.

The equation of the line is y = (3/2)x - 1/2.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).

Now,

The equation of a line.

y = mx + c

The line passes through points (3, 4) and (5, 7).

m = (7 - 4) / (5 - 3)

m = 3/2

Slope = 3/2 _____(1)

Now,

(3, 4) = (x, y)

4 = 3/2 x 3 + c

4 = 9/2 + c

c = 4 - 9/2

c = (8 - 9) / 2

c = -1/2

y-intercept = -1/2 ____(2)

Now,

y = mx + c

From (1) and (2),

y = (3/2)x - 1/2

Thus,

The equation of the line is y = (3/2)x - 1/2.

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The complete question.

Find the equation of a line that [passes through the point (2, 4), and (5, 7).

To describe the transfer we will review what the points of the blue and red triangle are.

Blue triangle

I = (-2, 8)

I' = (4, 4)

First, we will determine the x-axis translation

6 units right

Now let's calculate the y-axis transfer

4 units down

The answer would be 6 units right and 4 units down​

Answer:  0 is the answer

if my answer is correct mark as brainliest

Rewrite the fractions as improper fractions:

2 1/4 = 9/4

1 4/5 = 9/5

Rewrite the fractions to have a common denominator:

9/4 = 45/20

9/5 = 36/20

The sum is adding the two together:

45/20 + 36/20 = 81/20

Rewrite as a mixed number:

81/20 = 4 1/20

Product is multiplication:

For multiplying you can use different denominators so you can use the first improper fractions:

9/4 x 9/5 = (9x9)/(4x5) 81/20

Rewrite as a mixed number: 4 1/20

Now subtract to find the difference: 4 1/20 - 4 1/20 = 0

The difference = 0

A relative maximum is a highest point in that little area.  Think of it as a top to a mountain in a mountain range.  It's a peak, but it might not be the tallest peak.

A relative minimum is the lowest point in that little area.  Think of it as a the bottom of a valley in some area.  It's possibly one of many valleys, so might not be the deepest valley.

When we talk about where these things happen, we describe them based on their x-values.  They happen at the x-value of that peak or valley.

There's a little peak on the left side and the x-value of that peak is x = -1.2.

There's a little valley on the right side and the x-value of that valley is x = 1.2.

The answer is A.

Answer:

59 or I’m wrong

Step-by-step explanation:

Answer:

x=20.7

Step-by-step explanation:

using cosine...

cos 34=adjacent/hypotenuse

cos 34=x/25

Cross multiply

x=cos 34 ×25

x=20.72593931

x≈20.7(to the nearest tenth)

Answer:

y

a= ——

(r + 1 )t

Step-by-step explanation:

divide both sides

Answer:

0.01296

Step-by-step explanation:

I looked it up on this website: https://www.symbolab.com/solver/simplify-calculator/simplify%206%5E%7B-1%7D.6%5E%7B5%7D?or=input

That's the link to the solution, it shows you the steps, and you can look up other simplify questions there. It used to help me a lot.

To multiply powers with the same base, add their exponents. Add −1 and 5 to get 4.

6⁴

To calculate a power, multiply the base as indicated by its exponent. So:

Therefore the number 6 will be multiplied 4 times,

1296 ===> Answer

Answer:

F

Step-by-step explanation:

Answer: Because \(\frac{\pi }{3} =\frac{180\°}{3} =60\°\), therefore \(\frac{\pi }{3} =60\°\).

The graph of the function y = 5|x - 4| is added as an attachment

From the question, we have the following parameters that can be used in our computation:

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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Answer:

UH

Step-by-step explanation:

25

Step-by-step explanation:

The formula for the surface area of a rectangular prism is SA = 2(lw) + 2(wh) + 2(lh), where l is the length, w is the width, and h is the height.

Given:

l = 2.8 yards

w = 1.19 yards

h = 6 yards

Plugging in the values:

SA = 2(2.8 * 1.19) + 2(1.19 * 6) + 2(2.8 * 6)

Simplifying and converting units to square yards:

SA = 2(3.32) + 2(7.14) + 2(16.8)

SA = 6.64 + 14.28 + 33.6

SA = 54.52 square yards.

The surface area of the rectangular prism is 54.52 square yards.

x + 23 = -22

x = ?

x = -22 - 23

x = - ( 22 + 23 )

x = -45

x = -45 ✔️

Answer:

x - 23 = -22

x= -45

Step-by-step explanation:

x - 23 = -22

x = -22 - 23

x = -(22+23)

x = -45

Answer:

50

Step-by-step explanation:

Add up all the numbers

Answer:

This is because the diameter of the smaller circle is 12pi/pi which is 12, and the diameter of the bigger one is 18pi/pi which is 18. 12 + 6 = 18, so the diameter increases by 6.

Step-by-step explanation:

brinliest pls

Answer:

6

Step-by-step explanation: