6. A rock outcrop was found to have 89.00% of its parent U-238 isotope remaining. Approximate the age of the outcrop. The half-life of U-238 is 4.5 billion years old. 12 million years 757 million years 1.2 billion years 37 million years​

3827

hope it helps...!!!

The value of x in this case is going to be 24.61 degrees.

To find the value of x, we can use the fact that the sum of the interior angles of a hexagon is equal to 180(n-2) degrees, where n is the number of sides of the polygon.

So, the sum of the interior angles of the hexagon = 180(6-2) = 540 degrees

Given that the interior angles measure 2x 3x 4x 2x 3x and 97 degrees.

2x + 3x + 4x + 2x + 3x + 97 = 540

18x + 97 = 540

18x = 443

x = 443/18

x = 24.61 degrees

So, the value of x is 24.61 degrees

An hexagon is a polygon with six sides and six angles. It is a two-dimensional shape that can be classified as both a regular or an irregular hexagon. A regular hexagon has all sides and angles congruent, while an irregular hexagon has sides and angles of different lengths and measures. Hexagons can be found in many natural forms such as in honeycomb, crystals and also in man-made structures like in tiles, flooring, and in some parts of the machinery.

Learn more about Polygons here.

https://brainly.com/question/24464711

#SPJ1

Answer:

28.05$

Step-by-step explanation:

The game got a discount of 15%.
New price is   (30$) ( 0.85 )  =  25.5$   (since the discount is 15% you only pay for the 85% of the original price)

Then an increase of 10%. this is:
New price:   25.5$ (1.10) = 28.05

New price is 28$ with 5 cents

The standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

What do you mean by standard deviation?

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The standard deviation of the difference in the weights of the two oranges is equal to the square root of the sum of the squares of the standard deviations of the two oranges. This is because the weights of the two oranges are independent random variables.

Therefore, the standard deviation of the difference in the weights of the two oranges is equal to sqrt(1.2^2 + 1.2^2) = 1.7 ounces.

To know more about standard deviation
https://brainly.com/question/24298037
#SPJ1

I believe it's 14.17/D

Answer:

14.2

Step-by-step explanation:

Since your rounding to nearest hundredth you look at the second one

.17 rounds to 2

So you get 14.2

Hope that helps dude

Quadrilaterals are plane shapes with four sides. Thus, the required answers are:

a) The first shape is a right trapezoid.

b) The second shape is a parallelogram.

The given properties are that of a quadrilateral, thus both shape is a quadrilateral. A quadrilateral is a family of shapes that have four straight sides. Examples include squares, rhombus, kites, etc.

A. Given that the shape has one right angle and parallel sides. Then considering the given properties, the most likely shape is a right trapezoid.

A right trapezoid is a type of trapezium that has one right angle, and a pair of parallel sides. Thus the shape here is a right trapezoid.

Other shapes could be ruled out by comparing their properties with the properties of the shape given in the question.

B. The properties of the required shape as given are: it has two pairs of congruent opposite sides, and 2 pairs of opposite parallel sides. Thus the most likely shape required here is a parallelogram. A parallelogram is a shape with parallel and congruent opposite sides, and no right angle.

Other shapes could be ruled out by comparing their properties with the properties of the shape given in the question.

For more clarification on properties of quadrilaterals, visit: https://brainly.com/question/8406234

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are required.

The period of a pendulum is obtained as 0.27 s.

The period refers of a pendulum is the time that is taken to complete a cycle. We know that a cycle is the movement of the pendulum from one end to another. The pendulum  a device that we use to demonstrate simple harmonic motion. It shows the movement of an object from a give side to the other.

As we can see in the image, the formula that we can use to be able to obtain the period of any given pendulum that is moving from one side to the other could completely be given as;

T = √L/g

T = period of the pendulum

L = length of the pendulum

g = acceleration due to gravity

We can see that the length of the  pendulum is 0.7 m

T = √ 0.7 m/9.8 m/s^2

T = 0.27 s

Learn more about period of a pendulum:https://brainly.com/question/14759840

#SPJ1

Step-by-step explanation:

Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.

So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.

20 hours:165 dollars or 20:165

20 x 2= 40 and 165x2=330

So if Monique worked 40 hours she would earn $330.

Answer:

$60

Step-by-step explanation:

H = $4 charm, $40 bracelet

Y = $10 charm, $10 bracelet

H -

$4 x 5 charms = $20

plus bracelet

$20 + $40 = $60

Y -

$10 x 5 charms = $50

plus bracelet

$50 + $10 = $50

Answer:
Lines are
Cost = 10x + 10

Cost = 4x + 40

Solution is (5, 60) when both costs are the same

Step-by-step explanation:

Let x be the number of charms on the bracelet

We will represent the cost of the bracelet with charms for purchasing from Yardley as $Y
Since it costs a fixed amount of $10 for the bracelet and $10 per charm
Y = 10x + 10

Let us represent the cost of the bracelet with charms for purchasing from Hardin as $H
Since it costs a fixed amount of $40 for the bracelet and $4per charm
H= 4x + 40

Therefore the two equations for this situation are

Y = 10x + 10     [1]

H = 4x + 40     [2]

To graph this , take two values for x in each equation, find the corresponding cost  . That will give you two points;. Draw a line through these two points for each equation

For Y = 10x + 10  
Choose x = 0 to get Y = 10. Y= 10(0) + 10 = 10
Thus point(0, 10) is one point

Choose another value for x, say x = 3: Y = 10(3) + 10 = 30 + 10 = 40
The other point is (3, 40)

Draw a straight line through these two points

For H = 4x + 40:

x = 0 ==> 4(0) + 40 ==> (0, 40) as one point
x = 10 ==> 4(10) + 40= 80 ==>  (4, 80) is another point

Draw a straight line thru these two points

The point of intersection of these two lines from the graph is (5, 60)

This represents the number of charms from both places where the cost is the same

We can solve this mathematically as follows
Set [1] = [2]

10x + 10 = 4x + 40
10x - 4x = 40 - 10

6x = 30

x = 5

Substituting x = 5 in any of the equations will give the cost
Y(5) = 10(5) + 10 = 60

H(5) = 4(5) + 40 = 60

The rental car is getting approximately 37.56 miles per gallon.

To convert kilometers per liter (km/l) to miles per gallon (mpg), you can use the following conversion factor:

1 km/l ≈ 2.82475 mpg

Therefore, if your rental car is getting 13.3 km/l of gasoline, the equivalent value in miles per gallon would be:

13.3 km/l x 2.82475 mpg ≈ 37.56 mpg

So, your rental car is getting approximately 37.56 miles per gallon.

Learn more about conversion factor click;

https://brainly.com/question/30567263

#SPJ1

SEE ATTACHED IMAGE BELOW

The answer is 368

The shaded area in the image is 86.1 square inches.

Remember that for a circle of diameter D, the area is given by:

A = pi*(D/2)²

Where pi = 3.14, and here we have half-circles, so we need to add a factor 0.5

The area of the shaded figure, the area of the shaded figure will be the area of the half circle with diameter of 17in minus the area of the half circle with a diameter of 8.5 in, so the area is:

area = 0.5*3.14*(17in/2)² - 0.5*3.14*(8.5in/2)² = 86.1 in²

Learn more about area:

https://brainly.com/question/24487155

#SPJ1

Answer:

x = -2, y = -1, z = 1

Step-by-step explanation:

From (3), z = 2x + 5

From (2) y = (x - 2)/4

Sub them into (1):

5x - 6*(x - 2)/4 + 3(2x + 5) = -1

5x - 3x/2 + 3 + 6x + 15 = -1

19x/2 = -19

x/2 = -1

x = -2

y = (x - 2)/4 = (-2-2)/4 = -1

z = 2x + 5 = 2(-2) + 5 = 1

The equation that is equivalent to 8x - 6y = 12 is: B. y = 4x/3 - 2.

Equations that are equivalent to each other have the same value when evaluated or simplified.

Given the equation, 8x - 6y = 12, to determine which of the given equations in the options is equivalent to, rewrite the equation in slope-intercept form, as y = mx + b.

8x - 6y = 12

Subtract 8x from both sides of the equation

8x - 8x - 6y = -8x + 12

-6y = -8x + 12

Divide both sides of the equation by -6

-6y/-6 = -8x/-6 + 12/-6

y = 4x/3 + (-2)

y = 4x/3 - 2

Therefore, the equation that is equivalent to 8x - 6y = 12 is: B. y = 4x/3 - 2.

Learn more about equivalent equations on:

https://brainly.com/question/2972832

#SPJ1

Answer:

6 GB

Step-by-step explanation:

First find the rate per day. You can do that by dividing 4GB by 20 days.

4/20 = 1/5 = 0.2GB per day

Then, just multiply 30 days by the rate of 0.2GB/day.

30 x 0.2 = 6

In triangle ABC

a) The value of x = 29⁰

b) The angle c equal to 93⁰

A triangle is a closed plane figure that is formed by connecting three line segments, also known as sides, at their endpoints. The three endpoints, or vertices, where the sides of the triangle meet are not collinear. Triangles are important in mathematics and geometry because they are the simplest polygon that can exist in two-dimensional space.

In a triangle, the sum of all interior angles is always 180 degrees. Therefore, we can use this fact to find the value of x and angle c.

We know that:

angle a = 35⁰

angle b = 52⁰

angle c = 3(x+2)⁰

Using the fact that the sum of all interior angles in a triangle is 180 degrees, we can write:

angle a + angle b + angle c = 180

Substituting the values we know, we get:

35 + 52 + 3(x+2) = 180

Simplifying the equation, we get:

87 + 3x + 6 = 180

3x + 93 = 180

3x = 87

x = 29

Therefore, x = 29⁰

To find angle c, we can substitute the value of x into the equation we were given for angle c:

angle c = 3(x+2)

angle c = 3(29+2)

angle c = 3(31)

angle c = 93

Therefore, angle c is equal to 93⁰.

To know more about interior angles visit:

brainly.com/question/12834063

#SPJ1

Answer:

A. x=32 and x=o

YOUR WELCOME

Answer: A. x = 32 and x = 0

Explanation: Solve using the quadratic formula

Learn more: https://brainly.com/question/17177510

Answer:

  1/10

Step-by-step explanation:

There are 5 numbers in the range that are multiples of 10: 10, 20, 30, 40, 50. The probability of choosing one of those at random from the set of 50 numbers is ...

  5/50 = 1/10

Answer:

The company charged $500 for its services,and Mia gives the movers a 16% tip. Now, we can add the tip amount to the cost of the service to find the total amount Mia paid: Total amount = Cost of service + Tip amount = $500 + $80 = $580

Step-by-step explanation:

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

For more such questions on probability visit:

https://brainly.com/question/251701

#SPJ8

Answer:

c=a2+b2=102+172≈19.72308

Step-by-step explanation:

a calculator bro its easy

Answer:

7x-6

Step-by-step explanation:

You add the wo numbers that have the same variable which is 3x and 4x giving you a positive 7x.You do the same for -8 and 2 giving you a negative 6.My brain is hurting,but I hope its right.

The maximum amount of time that the draining can continue is 40/6 = 6.67 minutes (rounded to two decimal places).

To write a formula for the amount of water left in the tub, we need to understand how the water is being drained. Since we are given the rate of draining,

we can use that information to come up with the formula.The rate of draining is 6 gallons per minute, so we can represent the amount of water left in the tub as:

40 - 6tWhere t is the time in minutes. The amount of water in the tub decreases as time goes on, so we need to subtract the amount that is drained (6t) from the initial amount (40) to get the amount of water left.

In order to calculate the amount of water left after a certain amount of time, we can plug that time into the formula.

For example, if we want to know how much water is left after 10 minutes of draining, we can substitute t = 10 into the formula:40 - 6(10) = 40 - 60 = -20

This result doesn't make sense because we can't have a negative amount of water in the tub. This means that the formula is only valid for times when there is still water left in the tub. After that time, all the water will be drained.

To learn more about : amount

https://brainly.com/question/24644930

#SPJ8

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

Read more about Trigonometric ratios at: https://brainly.com/question/13276558

#SPJ1

Alvin owns a farm with 3 cows, 20 chickens, and 12 ducks. The number of people to find the average cost to pay for their settlements is RM3500.

Generally, To find the average cost to pay for Alvin and Tom's settlement, you will need to add together the total income for both Alvin and Tom and then divide that number by the number of people (in this case, two).

First, let's calculate Tom's weekly income. If Tom earns RM900 a day and there are 7 days in a week, then Tom's weekly income is 900 * 7 = RM6300.

Then, we can add together Alvin's income of RM700 and Tom's income of RM6300 to get the total income for both farmers: 700 + 6300 = RM7000.

Finally, we can divide the total income by the number of people to find the average cost to pay for their settlements:

7000 / 2 = RM3500.

So the average cost to pay for Alvin and Tom's settlement is RM3500.

Read more about average cost

https://brainly.com/question/29306232

#SPJ1

The rational function graphed in this problem is defined as follows:

y = -2(x - 1)/(x² - x - 2).

The vertical asymptotes of the rational function for this problem are given as follows:

x = -1 and x = 2.

Hence the denominator of the function is given as follows:

(x + 1)(x - 2) = x² - x - 2.

The intercept of the function is given as follows:

x = 1.

Hence the numerator of the function is given as follows:

a(x - 1)

In which a is the leading coefficient.

Hence:

y = a(x - 1)/(x² - x - 2).

When x = 0, y = -1, hence the leading coefficient a is obtained as follows:

-1 = a/2

a = -2.

Thus the function is given as follows:

y = -2(x - 1)/(x² - x - 2).

More can be learned about rational functions at brainly.com/question/1851758

#SPJ1