What is the age (in millions of years) of the basalt (unit m) if 0. 5 half-lives of 40k/40ar have elapsed, and the half life of 40k/40ar is 1. 3 billion years? (sig figs apply; scientific notation 10^9)

Answer:

7 and a half minutes. have a good one.

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

Answer:

1553/1250 its already in its simplified form

Round to nearest tenth is 0.9 in percentage .

What does the % mean?

24×3.5% = 0.84

so round to nearest tenth is 0.9.

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Answer:the cycle repeats every 2pi radians

Step-by-step explanation:

Answer:

The statement which does not describe the tangent function is A. The cycle repeats every 2pi radians.

Step-by-step explanation:

The tangent function is the ratio of the length of the opposite side to that of the adjacent side. It is also described  as the ratio of sine and cos .

If we analyses the tan function graph we will happened to find that it repeats itself after every π radian .

So, its cycle cannot repeat every 2pi radians.

Therefore,  The statement which says that The cycle repeats every 2pi radians does not describe the tangent function.

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The derivative of the given function using forward finite difference O(h) is approximately 0.61036.

To find the derivative of the function f(x) = e^xsinx at x = 0.5 using forward finite difference O(h), we can use the following formula:

f'(x) ≈ (f(x + h) - f(x)) / h

Given that h = 0.25, we can substitute the values into the formula:

f'(0.5) ≈ (f(0.5 + 0.25) - f(0.5)) / 0.25

Next, we need to evaluate the function at the given values:

\(f(0.5) = e^(^0^.^5^)sin(0.5)\)

f(0.5 + 0.25) = e^(0.75)sin(0.75)

Now we can substitute these values into the formula:

f'(0.5) ≈ \((e^(^0^.^7^5^)sin(0.75)\) - \(e^(^0^.^5^)sin(0.5)\)) / 0.25

Using a calculator or numerical methods, we can evaluate this expression and obtain the approximate value of the derivative as 0.61036.

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Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

Step-by-step explanation:

0.9(17) -2.7(3) =

15.3-8.1

=7.2

Answer:

27

Step-by-step explanation:

19√2 = 26.8701

2 sig figs is the ones place and one decimal place after (tenths place) in this problem.

Only way to find your answer is to plug 19√2 into your calc.

Answer:

27

Step-by-step explanation:

19√2

√361 × √2

√722

√722 is close to √729.

√729 = 27

19√2 ≈ 26.870058

Rounded to two significant numbers is 27.

The required value of x is 125° for the given pentagon.

The external angle of a pentagon is formed by extending one of its sides, and it is supplementary to the adjacent interior angle of the pentagon.

According to the given figure,

We have been given that a pentagon, which has five sides is shown.

As we know that the sum of the external angles of any polygon is always 360 degrees.

So, x° + 40° + 65° + 60° + 70° = 360°

x° + 235° = 360°

x° = 360° - 235°

Apply the subtraction operation, and we get

x = 125°

Therefore, the required value of x is 125°.

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The formula to solve for height(h) is given as, if the volume of the cylinder is, V = π r² h, is h = V /  π r².

An object's volume is a measurement of the amount of space it occupies in three dimensions. This indicates that an elephant's volume is more than a mosquito's volume.

Given:

V = π r² h

Here, r is the radius of the cylinder, V is the volume, and h is the height of the cylinder. The value of π is 3.14.

Take the remaining term of the right side to the left as shown below,

V /  π r²  = h

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Answer:

It's D. 5

Step-by-step explanation:

A^2 + B^2 = C^2

The third length of the right triangle is 5 units. Then the correct option is D.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

We have

P = a

B = 12

H = 13

Then

13² = a² + 12²

169 = a² + 144

  a² = 169 – 144

  a² = 25

    a = 5

Then the correct option is D.

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Answer:

-5

Step-by-step explanation:

For a given x value a function can have only one y value.

-5 cannot have both 15 and 20 as the y value

To find the equation of the tangent line to the graph of the given function at the point (1, 6), we need to determine the slope of the tangent line at that point.

We can find the slope by taking the derivative of the function and evaluating it at x = 1.

First, let's find the derivative of the function y = -4x^3 + 7x^2 - 9x + 12. Taking the derivative of each term, we get:

dy/dx = -12x^2 + 14x - 9

Now, substitute x = 1 into the derivative to find the slope at the point (1, 6):

m = -12(1)^2 + 14(1) - 9 = -7

The slope of the tangent line is -7. Now we can use the point-slope form of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

Substituting the values (x1, y1) = (1, 6) and m = -7, we get:

y - 6 = -7(x - 1)

Simplifying the equation gives:

y - 6 = -7x + 7

Finally, rearranging the equation to the slope-intercept form gives:

y = -7x + 13

Therefore, the equation of the tangent line to the graph of the function at the point (1, 6) is y = -7x + 13.

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Answer: Hello! I'm Suga, Here is your answer.....

0.2 Meters

Step-by-step explanation:

Hope this helps your question! Anneyong!

xoxoAgustD

For John to turn a profit each year, he needs to sell at least 61 dollhouses.

The break-even threshold is reached when overall costs and total revenues are equal, leaving your small firm with no net benefit or loss. In other words, you've achieved the point in production where the revenue from a product equals the cost of manufacture.

Given that, John makes and sells doll houses. If he has a cost of $2,000 per year plus a cost of $27 per dollhouse and he sells the dollhouse at the cost of 60$.

at break-even point

Total cost  = total revenue

Let x be the number of dollhouses sold to reach the break-even point.

Thus, 2000 + 27x = 60x

x = 60.60

Therefore, John has to sell at least 61 dollhouses to make a profit each year.

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The length of the line segment is approximately 12.04 units. This formula calculates the distance between two points, (x1, y1) and (x2, y2), on the line segment. The formula is as follows: d = √((x2 - x1)^2 + (y2 - y1)^2)

The length of a line segment in a two-dimensional x-y coordinate plane can be found using the distance formula. This formula calculates the distance between two points, (x1, y1) and (x2, y2), on the line segment. The formula is as follows:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the line segment extends from the point (2, 8) to the point (12, 2). By plugging these values into the formula, we find that:

d = √((12 - 2)^2 + (2 - 8)^2) = √(100 + 36) = √136 = 12.04

So, the length of the line segment is approximately 12.04 units. This formula is useful for finding the distance between any two points in a two-dimensional plane and can be used in various fields such as geometry, physics, and engineering. The formula is based on the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

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Complete question:

What is the length of the line segment in the first quadrant of an x-y coordinate plane that extends from (2, 8) to (12, 2)?

Answer:

its D 136

Step-by-step explanation:

khan

The correct answer is A. True

A linear equation represents a line in the xy-plane. In the form of y = mx + b, where m is the slope and b is the y-intercept, a linear equation defines a straight line relationship between x and y. Each x value corresponds to a unique y value on the line.

By plotting the points that satisfy the equation, a line can be formed. The slope determines the steepness or direction of the line, while the y-intercept represents the point where the line intersects the y-axis.

Therefore, a linear equation does determine a line in the xy-plane.

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True. A linear equation determines a line in the xy-plane.

A linear equation is an equation that describes a straight line in the xy-plane. It is an equation of the form y = mx + b, where m represents the slope of the line and b represents the y-intercept. The slope-intercept form of a linear equation is commonly used to graph lines.

The equation y = mx + b shows that for every value of x, there is a corresponding value of y that lies on the line. The slope, m, determines the steepness of the line, while the y-intercept, b, represents the point where the line crosses the y-axis.

Therefore, it is true that a linear equation determines a line in the xy-plane.

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Answer:

yes

Step-by-step explanation:

when I add 65+72 and the answer gave me and I find the square root of that number

The Latin square that is balanced for residual effects is Latin Square 1.

To determine whether a Latin square is balanced for residual effects, we need to check if the order effects and carryover effects are equal across all rows and columns.

In Latin Square 1:

Order effects: Each treatment appears once in each row and column. Therefore, there are no order effects.

Carryover effects: Each treatment follows every other treatment once in each row and column. Therefore, there are no carryover effects.

Since there are no order or carryover effects in Latin Square 1, it is balanced for residual effects.

In Latin Square 2:

Order effects: Treatment A appears twice in row 1, while treatment D appears twice in row 2. Therefore, there are order effects.

Carryover effects: Treatment C follows treatment A twice in row 3, but only once in row 2. Therefore, there are carryover effects.

Since there are order and carryover effects in Latin Square 2, it is not balanced for residual effects.

Therefore, the Latin square that is balanced for residual effects is Latin Square 1.

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The value of the expression \(4\frac{1}{10}\times-4\times\frac{5}{12}\) is \(-6\frac{5}{6}\).

A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.

The given, expression is \(4\frac{1}{10}\times-4\times\frac{5}{12}\).

= (41/10) × (- 4) × (5/12).

= (41×-4×5)/(10×12).

= (-820/120).

= - 82/12.

= - 41/6.

= \(-6\frac{5}{6}\).

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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The quadratic equation can be written as:

y =x^2 - 6x + 13

We can see that this is the table for a quadratic equation, there we can see that we have the vertex at (3, -4), then if the leading coefficient is a, we can write the equation in the vertex form as:

y = a*(x - 3)^2 - 4

Now, also notice that the function passes through (0, 5), then:

5 = a*(0 - 3)^2 - 4

5 = 9a - 4

9 = 9a

1 = a

The qudratic is:

y = (x - 3)^2 - 4

Expanding it we get:

y = x^2 - 6x + 9 + 4

y =x^2 - 6x + 13

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9514 1404 393

Answer:

Step-by-step explanation:

Maybe you want to know the number of each kind of animal.

__

We can write two equations in the two unknowns.

  p + c = 14 . . . . . . number of animals

  4p +2c = 44 . . .  number of legs

Dividing the second equation by 2, it becomes ...

  2p +c = 22

Then subtracting the first equation gives ...

  (2p +c) -(p +c) = (22) -(14)

  p = 8

  8 +c = 14

  c = 6

The farmhouse shelters 8 pigs and 6 chickens.

Answer:

x/1 is the same as x

Step-by-step explanation:

Yeah, if the 95% cοnfidence intervals fοr twο measured values οverlap, we may basically infer that the twο values agree. Therefοre, All three values agree.

Mathematicians, particularly statisticians, use a variety οf means. Every mean serves tο cοndense a certain set οf facts, frequently tο help grasp the general significance οf a particular data set.

If the established value falls within the 95% cοnfidence interval, which is a range οf 2x arοund the measured mean (where x is the standard uncertainty), the measured value is said tο agree with the estimated οr expected value.

This is accurate because predicted values agree with measured values if they fall within a 95% cοnfidence interval. The range οf 2x is used tο measure the cοnfidence interval.

Yeah, if the 95% cοnfidence intervals fοr twο measured values οverlap, we may basically infer that the twο values agree. The twο measured values agree with the expected value if the 95% cοnfidence intervals οverlap.

Thus, all three values agree.

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The value of x is in the solution set of the inequality 9(2x + 1) < 9x – 18 is -4.

Inequality is defined as relationship between non-equal numbers or expressions. The solution set of an inequality is the set of values that satisfies the given inequality.

To determine the solution set of the given inequality, isolate the variable to one side and simplify.

9(2x + 1) < 9x - 18

18x + 9 < 9x - 18

18x - 9x < -18 - 9

9x < -27

x < -3

x = (-∞, -3)

Hence, the solution set of the given inequality is the set of numbers less than -3. Among the given choices, only -4 is less than -3. Therefore, the value of x is -4.

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Answer: -4

Step-by-step explanation: edge2020

Answer:

14

Step-by-step explanation:

First fond 40% of 20

20×40/100 = 8

So now there is a total of 20+8 =28

At the store you spend exactly half

28×50/100 =14

So now you are left with 28-14 =14

Answer:

95 square meters

Step-by-step explanation:

I am answering this question assuming 19 is the base because it is the longest side on the triangle. (there is no picture provided)

The formula for area of triangle is base * height * 1/2

So 19 * 10 *1/2 is 95.

The step of data storytelling that describes showing the story of the data to highlight the meaning behind the numbers is "Visuals". The correct answer is option (d).

Visuals are an important aspect of data storytelling because they can help to convey complex information in a simple and easy-to-understand way. Visuals can include graphs, charts, diagrams, and other types of visual aids that appeal to the sight and are used for effect or illustration.

By using visuals, a data analyst can help their audience to better understand the story that the data is telling and to see the patterns and trends that might not be presently alleged from the raw numbers alone.

Hence, the correct answer is option (d).

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The complete question is as follows:

A data analyst wants to tell a story with data. As a second step, they focus on showing the story of the data to highlight the meaning behind the numbers. which step of data storytelling does this describe?

a. Primary message

b. Engagement

c. Narrative

d. Visuals