A dolphin jumps out of the water with an initial velocity of 20 feet per
second (assume its starting height is O feet). Use the vertical motion
model, h = - 16t2 + vt +8, where v is the initial velocity in feet per
second and s is the height in feet, to calculate the amount of time the
dolphin is in the air before it hits the water again. Round your answer
to the nearest tenth if necessary.
Time in air: seconds

64.77% of a given amount remains after 900 years.

To determine the percentage of radioactive radium remaining after 900 years, we'll use the half-life formula:

Final Amount = Initial Amount * \(1/2^{(time elapsed / half-life)}\)

In this case, the half-life is 1599 years and the time elapsed is 900 years. We want to find the percentage remaining, so let's assume the initial amount is 100%.

Final Amount = 100 * \((1/2)^{(900 / 1599)}\)

Now, we'll calculate the exponent:

Exponent = 900 / 1599 ≈ 0.5635

Then, we'll compute the final amount:

Final Amount ≈ 100 * \((1/2)^{0.5635}\) ≈ 100 * 0.6477 ≈ 64.77%

After 900 years, approximately 64.77% of the initial radioactive radium remains. This percentage was found using the half-life formula, which accounts for the exponential decay of radioactive substances over time.

The formula shows how the remaining amount of a substance decreases as time progresses based on its half-life, which is the time it takes for half of the substance to decay. In this scenario, radium's half-life of 1599 years and the 900-year time frame were used to determine that roughly 64.77% of the initial radium remains.

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The possible values of x as required to be determined in the task content are; ±½.

It follows from the task content that the possible values of x are to be determined from the given task content.

The given equation can be written algebraically as;

√(8x) • √(10x) • √(3x) • √(15x) = 15

√3600x² = 15

60x² = 15

x² = 15 / 60

x² = 1/4.

x = ± ½.

Ultimately, the possible values of x as required in the task content are; +½ and -½.

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The correct option is the third option, which states that 80 percent is being used as a hypothesis.

A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

In the given problem, Jim and Pam conducted an experiment to find out whether temperature affects learning.

20 rats were trained to press a lever in an operant chamber to obtain food pellets.

Jim and Pam estimated that 80 percent of all rats trained on this task in 70 degrees Fahrenheit temperature would emit more than one response per second.

Based on the information provided, 80 percent is being used as a hypothesis or predicted value that Jim and Pam had before conducting the experiment. Therefore, the correct option is the third option, which states that 80 percent is being used as a hypothesis. A hypothesis is a tentative assumption that is made to test a prediction. A hypothesis can be confirmed or refuted based on the results of an experiment.

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To determine the percentage of a number in relation to another, you divide the first number by the second number and multiply by 100. This formula can be used in various scenarios, such as calculating discounts, proportions, or ratios.

1. First, divide the number you want to find the percentage of by the number you want to compare it to.
  For example, let's say you want to find out what percentage 25 is of 100. You would divide 25 by 100, resulting in 0.25.

2. Next, multiply the result from step 1 by 100 to get the percentage.
  Using our previous example, you would multiply 0.25 by 100, giving you 25%.

Therefore, 25 is 25% of 100.

Here's another example to help solidify the concept:

Suppose you want to find out what percentage 60 is of 200.

1. Divide 60 by 200, which equals 0.3.

2. Multiply 0.3 by 100, resulting in 30%.

Hence, 60 is 30% of 200.

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Answer: The answer is 130 Degrees

Step-by-step explanation:

A line chart is a type of graph used to show the relationship between two variables.

It is used for plotting data points that are connected by a straight line. The two variables can be either continuous or categorical. The line chart is useful for visualizing the relationship between the two variables and how they change over time. Line charts can be used to display data over a period of time, such as stock prices, or to compare different categories of data.

A pyramid chart is a type of graph used to compare different groups of data. It is usually used to show the relative sizes of different categories within a data set. The pyramid chart is generally preferred over the column chart because it is easier to compare the relative sizes of the different categories.

Pie charts are a type of graph used to show the relative size of different categories in a data set. They are useful for visualizing the proportions of the different categories. Pie charts can generally be used instead of bar charts, but they are not as useful for comparing the relative sizes of different categories or for displaying data over a period of time.

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According to the given data we have the following:

3√45 -4 √225 + √200 - √50

Then to simplify we would have to make the following:

[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]

=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

=3√5 - 5√5 + 10√2 - 5√2

=√5(3 - 5) + √2(10 - 5)

=(-2√5) + 5√2

Answer:

shouldn't it be all the same answer since it looks like a equilateral triangle

Answer:

enjoy it .................

Answer:

Translates up 1 and to the left 2

Step-by-step explanation:

I'm not completely sure if this is right but I hope it helps :/

Answer:

7% they wont be picked and 6% they will

Answer:

-2,-2

Step-by-step explanation:

if you plug the numbers in you get:

(2*-2)+-2≤−4

so that's -4+-2≤−4

which equals -6≤−4

and as always, the bigger the negative number, the less value it has

Answer:

b

Step-by-step explanation:

it might be wrong

The proportion of the committee that is left-handed is 4/15, which is equivalent to 0.267 when rounded to three decimal places.

A proportion is a way of expressing the relationship between two quantities. It is often written as a fraction, where the numerator represents the quantity of interest, and the denominator represents the total quantity.

In this case, we are interested in the proportion of left-handed senators, so the numerator will be the number of left-handed senators, which is 4. The denominator will be the total number of senators in the committee, which is 15. Therefore, the proportion of left-handed senators can be written as:

4/15

This fraction can also be expressed as a decimal by dividing the numerator (4) by the denominator (15) using a calculator or long division. When rounded to three decimal places, the decimal equivalent of the fraction is:

0.267

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Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

The robot moves in the positive direction along a straight line so that after t minutes its distance is s=6t^4 feet from the origin. (a) Find the average velocity of the robot over intervals 2, 4. We have the following data: Initial time, t₁ = 2 min.

Final time, t₂ = 4 min.The distance from the origin is given by s = 6t^4Therefore, s₁ = s(2) = 6(2^4) = 6(16) = 96 feet s₂ = s(4) = 6(4^4) = 6(256) = 1536 feet

We can find the average velocity of the robot over the interval 2, 4 as follows: Average velocity = (s₂ - s₁) / (t₂ - t₁)Average velocity = (1536 - 96) / (4 - 2)Average velocity = 1440 / 2Average velocity = 720 feet per minute(b) Find the instantaneous velocity at t=2.To find the instantaneous velocity at t = 2 min, we need to take the derivative of the distance function with respect to time. We have the distance function as:s = 6t^4 Taking derivative of s with respect to t gives the velocity function:v = ds / dt Therefore,v = 24t³At t = 2, the instantaneous velocity is:v(2) = 24(2)³v(2) = 24(8)v(2) = 192 feet per minute Therefore, the instantaneous velocity at t = 2 min is 192 feet per minute.

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The simplification of one over x raised to the negative sixth power gives (x)^1/6

What are fractional indices?

Fractional indices are powers of a term that are fractions. Two fractions are equivalent to each other if after simplification either of two fractions is equal to the other one

To simplify one over x raised to the negative sixth power:

one over x raised to the negative sixth power is (1/x)^-1/6

Since 1/x = x⁻¹

(1/x)^-1/6 = (x⁻¹)^-1/6      (Since -1 × -1/6 = 1/6)

             = (x)^1/6

Therefore, one over x raised to the negative sixth power simplifies to (x)^1/6

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Answer:

75 grams

Step-by-step explanation:

1/2 cm = 25 grams

(1 1/2) /( 1/2) = 3 times as much

1 1/2 cm = 3 x 25 75 grams

The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

According to the statement

we have given that the df total = 29 and df within = 27. And we have to find the value of the df between.

So, For this purpose, we know that the

Analysis of variance (ANOVA) is an analysis tool used in statistics that splits an observed aggregate variability found inside a data set into two parts.

So, Df between values are the values between the value of dftotal and dfwithin.

Here df total = 29 and df within = 27

So, df between = df total - df within

Substitute the values in it then

df between = df total - df within

df between = 29 - 27

df between = 2.

So, The value of dfbetween in the analysis of variances is 2. Thus option D is correct option.

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Answer:

59.04

Step-by-step explanation:

If you were to make a right triangle, 15 would be the altitude (height), and 9 would be the base. You need the angle of elevation which is going the angle of the hypotenuse going upwards. (Bottom Left/Right Corner.) From that angle you need to solve for arctan (Used for solving the measure of angle.) Simply plug into your calculator arctan(15/9) to get the answer.

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

The optimal values of these parameters are:

a. β₁ = 0

b. β₂ = 0

The linear regression y = β1 + β2x + e, assuming that the sum of squared errors (SSE) takes the following form:

SSE = 382 + 681 + 382 + 18β1β2

Derive the partial derivatives of SSE with respect to β1 and β2 and solve the optimal values of these parameters.

Given that SSE = 382 + 681 + 382 + 18β1β2 ∂SSE/∂β1 = 0 ∂SSE/∂β2 = 0

Now, we need to find the partial derivative of SSE with respect to β1.

∂SSE/∂β1 = 0 + 0 + 0 + 18β2 ⇒ 18β2 = 0 ⇒ β2 = 0

Therefore, we obtain the optimal value of β2 as 0.

Now, we need to find the partial derivative of SSE with respect to β2. ∂SSE/∂β2 = 0 + 0 + 0 + 18β1 ⇒ 18β1 = 0 ⇒ β1 = 0

Therefore, we obtain the optimal value of β1 as 0. Hence, the partial derivative of SSE with respect to β1 is 18β2 and the partial derivative of SSE with respect to β2 is 18β1.

Thus, the optimal values of β1 and β2 are 0 and 0, respectively.

Therefore, the answers are: a. β₁ = 0 b. β₂ = 0

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Answer:

Step-by-step explanation:The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle. Example: In the triangle shown, tan(A)=68 or 34 and tan(B)=86 or 43 .

Given two sides

if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root: a = √(c² - b²)

if leg b is unknown, then. b = √(c² - a²)

for hypotenuse c missing, the formula is. c = √(a² + b²)

Answer:

it’s 3/4

Step-by-step explanation:

it’s right for khan (trigonometric ratios in right triangles)

The equation, which represents a circle that is concentric with the circle shown and has a radius twice as large of that circle, is (x-4)²+(y-6)²=16.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

On a coordinate plane, a circle has a center (4, 6) and has a radius of 2 units.

The equation of another circle which is concentric with the circle has to be found out. Two circles are concentric if they have the same center.

Thus, the center of this circle is also (4,6). Now, this circle has a radius that is twice as large. Thus, the radius of this circle is,

\(r=2\times2\\r=4\)

The equation of this circle with center (4,6) and radius 4 is,

\((x-4)^2+(y-6)^2=(4)^2\\(x-4)^2+(y-6)^2=16\)

Thus, the equation, which represents a circle that is concentric with the circle shown and has a radius twice as large as that circle, is (x-4)²+(y-6)²=16.

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Answer: (x – 4)2 + (y – 6)2 = 16

Step-by-step explanation: i took the test n got it correct :)

$105

15*3=45

12*5=60

60+45=105

(12*5)+(15*3)=105

Can i get brainliest

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

At a hardware store, DVDs are at a bargain. A few DVDs cost $15.00 each and some expenses $12.00 each. Bart bought 8 DVDs and spent a sum of $105.00.

Let 'x' be the number of $15 DVDs and 'y' be the number of $12 DVDs. Then the equations are given as,

x + y = 8                     ...1

15x + 12y = 105         ...2

From equations 1 and 2, then we have

15x + 12(8 - x) = 105

15x + 96 - 12x = 105

3x = 9

x = 3

Then the value of y is given as,

y = 8 - 3

y = 5

The number of $15 DVDs and $12 DVDs at an electronics store will be 3 and 5, respectively.

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1. Let's review the information provided to us to answer the question correctly:

Cost of the pizza = $ 0.10 * π * r², where r = radius of the pizza in inches

2. What does the constant 0.10 in the function represent?

Let's recall the formula of the area of a circle, in this case, the area of the pizza:

Area = π * r², therefore the constant 0.10 that is multiplying the area of the pizza, is the cost of the pizza in dollars per square inch and the total cost is the result of the multiplication of the area by 0.10. 18.30 inches

Answer: 220

Step-by-step explanation: