Recent studies show that the number of​ three-legged frogs in a particular area is increasing due to exposure to chemical pollutants. The first set of data reported in 2000 estimates a population of 5000​ three-legged frogs. Statistics show an annual increase of​ 15%. Let denote the number of​ three-legged frogs projected to inhabit this area in the year 2000N. How many​ three-legged frogs are projected to inhabit this area by​ 2009? Round to the nearest whole number

Answer:

0.5 kg/week

Step-by-step explanation:

rate of change = (change in weight)/(change in time)

rate of change = (8.4 kg - 2.4 kg)/(18 weeks - 6 weeks)

rate of change = 6 kg / 12 weeks

rate of change = 0.5 kg/week

Answer:

121

Step-by-step explanation:

10(3)^2-7(3)+10=121

Brillianst please!!!

The correct number in the box is,

         x           - 7

  x     x²         -7x

+ 5     5x         - 35

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (x + 5) (x - 7)

Now, We can simplify as;

         x           - 7

  x     x²         -7x

+ 5     5x         - 35

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Answer:

Step-by-step explanation:

Grouped as following:

Answer:

A unitary system of government is a single-unit system in which the central government has supreme power. A unitary government allows for decisions to start at the national level and then flow into local communities with the end goal being an equal distribution of power. France and South Africa are modern examples of unitary governments.

Answer:d

Step-by-step explanation:

d

Answer:

Step-by-step explanation:

Distributive property of multiplication over addition:

a(b + c) = (a*b) + (a*c)

Answer:

( x - 5 )^2 + ( y +4 )^2 = 9

Step-by-step explanation:

( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius

Brainliest maybe?

the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

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Answer:

Your answer is 58

Step-by-step explanation:

This is true because complementary means both angles add to 90 degrees. So if you know one is 32 then you subtract 90-32 which will give you 58 (angle B).

Answer: 58

Step-by-step explanation: Complementary means adds up to 90 degrees. So you would just do 90 minus 32 and get 58.

I may be wrong- I don't know for sure. I am a little rustly on this.

Answer:

0.09 or 9%

Step-by-step explanation:

I = Prt

Given:

I = 1890

P = 7000

t = 3

Work:

I = Prt

r = I/(Pt)

r = 1890/(7000 x 3)

r = 1890/21000

r = 0.09

the distance from point P = (3, -2) to the line passing through points A = (3, -5) and B = (4, 5) is 3 / √101.

To find the distance from point P = (3, -2) to the line passing through points A = (3, -5) and B = (4, 5), we can use the formula for the distance between a point and a line.

The formula for the distance between a point (x₁, y₁) and a line Ax + By + C = 0 is given by:

distance = |Ax₁ + By₁ + C| / √(A² + B²)

First, let's find the equation of the line passing through points A and B.

The slope of the line can be found using the formula:

m = (y₂ - y₁) / (x₂ - x₁)

m = (5 - (-5)) / (4 - 3) = 10

Since the line passes through point A (3, -5), the equation of the line can be found using the point-slope form:

y - y₁ = m(x - x₁)

y - (-5) = 10(x - 3)

y + 5 = 10x - 30

10x - y - 35 = 0

Now we have the equation of the line in the form Ax + By + C = 0, where A = 10, B = -1, and C = -35.

Substituting the coordinates of point P (3, -2) into the formula, we can calculate the distance:

distance = |10(3) + (-1)(-2) + (-35)| / √(10² + (-1)²)

distance = |30 + 2 - 35| / √(100 + 1)

distance = |-3| / √101

distance = 3 / √101

Therefore, the distance from point P = (3, -2) to the line passing through points A = (3, -5) and B = (4, 5) is 3 / √101.

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The frequentist approach assumes the probability of a given outcome is fixed across trials, while the Bayesian approach allows for updating the probability based on new data and can take into account prior assumptions.

(a) A frequentist would say that the probability of landing heads in one trial is p=15/20, or 75%. This is because the frequentist approach assumes that the probability of a given outcome remains the same across trials, and so the observed probability is the same as the true probability.

(b) A Bayesian would say that the probability of landing heads in one trial is p = 15/20, but it is also an estimate, or “posterior probability”, of the true probability, given the data. This approach allows for updating the probability based on new data, which could lead to a different posterior probability.

(c) The strengths of the frequentist approach are that it is well-defined and easy to use. It also does not require any prior assumptions about the underlying probabilities. The weakness is that it does not allow for learning from new data, and the probability of a given outcome is the same for all trials. The strengths of the Bayesian approach are that it allows for updating the probability based on new data and can take into account prior assumptions about the underlying probability. The weakness is that it can be more difficult to use, as it requires more complex models and more computations.

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Answer:

1cm is equal to 0.01m which is how they got 87cm to .87m

Step-by-step explanation:

To find the depth of the cylinder tank, we first need to calculate the radius of its base. The diameter of the base is given as 14m, so the radius (r) is half of that, which is 7m.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height (depth) of the cylinder.

We are given that the capacity (volume) of the tank is 3080cm³. However, the diameter of the base is given in meters, so we need to convert the volume to cubic meters.

1 cubic meter (m³) is equal to 1,000,000 cubic centimeters (cm³).

So, the volume of the tank in cubic meters is 3080cm³ / 1,000,000 = 0.00308m³.

Now, we can rearrange the volume formula to solve for the height (h):

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Answer:

I believe it should be 5.882%

Step-by-step explanation:

This is how i got tought to do it

85-80=5

5/85=0.05882

0.05882 times 100=5.882%

and that's your answer hope you get it right.

Answer:

slope: -2

y intercept: 3

Step-by-step explanation:

Answer:

14.75 + 18.75x ≤ 425

Step-by-step explanation:

Total amount they have is $425

Parking for the entire group = $14.75

If x is the number of persons in the group, the cost of x tickets at $18.75 per head
= 18.75x

The total cost incurred
= Parking Cost + Ticket Cost

= 14.75 + 18.75x

This has to be less than equal to 425

So the inequality is

14.75 + 18.75x ≤ 425

i cannot make out the given answer choices clearly, it appears the constant 425 is on the left side in each answer choice - choose the one which is closest to the given answer

The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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Answer:

5m

Step-by-step explanation:

1.25m multiply by 4 sides equals 5m

The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters.

Perimeter is the addition of an external measure of sides it will always positive.

Perimeter of square = side + side + side + side

Given a table in form of a square,

Side of square = 1.25 m

The external measure of side = length of ant walk

1.25 + 1.25 + 1.25 +1.25 = Length of ant walkt

Length of ant walk = 5 meters.

Hence "The length of which ant walk will be the same as the perimeter of the square thus it will be 5 meters".

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Answer:

x=6

Step-by-step explanation:

\(\frac{9}{3} =\frac{6}{2}\)      

Let's denote the radius of the cone as 'r' and the height as 'h'.

The formula for the volume of a cone is:

V = (1/3) * π * r^2 * h

And the formula for the circumference of the base of a cone is:

C = 2 * π * r

We know that the volume of the cone is 33π/3, so:

(1/3) * π * r^2 * h = 33π/3

Simplifying this equation, we get:

π * r^2 * h = 99π

r^2 * h = 99

We also know that the circumference of the base of the cone is 6π, so:

2 * π * r = 6π

Simplifying this equation, we get:

r = 3

Now we can substitute this value of 'r' into the equation we obtained earlier:

r^2 * h = 99

3^2 * h = 99

h = 11

Therefore, the height of the cone is 11 units.

Answer:

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Step-by-step explanation:

System of Equations

Let's call

x = pounds of trail mix 5% raisins

y = pounds of trail mix 20% raisins

The distributor wants to make 1,000 pounds of trail mix, thus:

x + y = 1,000     [1]

The mix must be 8% raisings as a combination of x and y, thus:

5x + 20y = 8*1,000 = 8,000

Dividing by 5:

x + 4y = 1,600     [2]

Subtracting [2] and [1]:

4y - y = 1,600 - 1,000

Operating:

3y = 600

y = 200

From [1]

x = 1,000 - y = 1,000 - 200

x = 800

He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins

Answer:

5% raisin mix: 800 lbs

20% raisin mix: 200 lbs

Step-by-step explanation:

Let number of 5% be x; and number of 20% be a.

x + y = 1000

5% · x + 20% · y = 8% of 1000 pounds

0.05x + 0.2y = 80

x = 1000 - y

0.05(1000 - y) + 0.2y = 80

50 - 0.05y + 0.2y = 80

0.15y = 30

y = 200

x = 1000 - y

x = 1000 - 200

x = 800

Answer:

The length of one of the legs is a 18

Step-by-step explanation:

Here, we want to find the length of one of the legs

Since it’s an isosceles triangle, the length of two sides are equal.

what this mean is that;

x + 10 = 4x - 14

4x -x = 14 + 10

3x = 24

x = 24/3

x = 8

The length of the leg will be x + 10 = 8 + 10 = 18

Answer:

The nearest gumdrop required will be 30.

Step-by-step explanation:

We will find the circumference of the cake which has 12 inches diameter

Radius = diameter / 2 = 12 / 2 = 6 inches

C = 2 x 3.14 x radius

C = 2 x 3.14 x 6 = 37.68 inches

The gum drop dia = 1.25 inches

The total gum drops required to cover 37.68 inches = 37.68 / 1.25 = 30.144

The nearest gumdrop required will be 30.

Answer:

5

if you wrote the second term in mixed fraction!

or,

7/2 , if you wrote it as a product.

Answer:

5

Step-by-step explanation:

The approximate total candy consumption of the town from 2003 to 2007 was [estimated value] thousand pounds of candy.

To estimate the total candy consumption from 2003 to 2007, we need to calculate the area under the curve of the graph for that time period. The graph represents the average candy consumption in thousands of pounds per year.

To calculate the area, we divide the time period into intervals of width 1 year and approximate the height of each interval by using the value of the function at the left endpoint of the interval. By summing up the areas of all the rectangles formed by these intervals, we can estimate the total candy consumption.

However, without the specific values or the graph itself, it is not possible to provide an exact estimated value. The instructions suggest using a printed graph to draw rectangles and calculate the area manually, but without the graph, it is not possible to provide a precise answer.

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The p-value can be calculated to test the null hypothesis that the average running time of HP laptops is 120 minutes against the alternative hypothesis that it is not equal to 120 minutes.

The p-value for testing the hypothesis that the average time for the HP laptops is not equal to 120 minutes can be calculated using a t-test. Given a sample mean of 122 minutes, a sample size of 60, a null hypothesis mean of 120 minutes, and a standard deviation of 25 minutes, we can calculate the t-value and find the corresponding p-value.

To calculate the t-value, we use the formula: t = (sample mean - null hypothesis mean) / (sample standard deviation / sqrt(sample size))

Plugging in the values, we get: t = (122 - 120) / (25 / sqrt(60))

Calculating the t-value, we find t ≈ 0.894

To find the p-value associated with this t-value, we can refer to a t-distribution table or use statistical software. The p-value represents the probability of observing a t-value as extreme as the one obtained, assuming the null hypothesis is true.

Since the p-value (0.757) is greater than the commonly used significance level of 0.05, we fail to reject the null hypothesis. This suggests that there is not enough evidence to conclude that the average running time of HP laptops is significantly different from 120 minutes.

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The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

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Answer:

Step-by-step explanation:

In the question we are given ,

And , we have to find the height of cylinder .

We know that ,

\(

\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow\)

Our solution starts from here :

\( \longmapsto \: \pi \: r {}^{2} h = 225\pi\)

Step 1 : Cancelling π with π :

\( \longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}\)

Step 2 : Substituting value of radius which is 5 cm in the formula :

\( \longmapsto \: (5) {}^{2} \times h = 225\)

\( \longmapsto \: 25h = 225\)

Step 3 : Transposing 25 to right hand side :

\( \longmapsto \: h = \frac{225}{25} \)

Step 4 : Cancelling 225 by 25 :

\( \longmapsto \: \red{\boxed{h = 9 \: cm}}\)

Answer:

V = π*r^2*h/3

the formula not sure which answer represent that

117.29 ft^3

Step-by-step explanation: