basaltic clasts within a conglomerate have been radiometrically dated to 50 million years ago. is this a reliable age for the conglomerate?

Step-by-step explanation:

step 1: how many dolphins

there are 6 sharks

sharks to dolphins is 3 to 5

3 S to 5 D

we can divide 6 (amount of sharks known) by 3, to get what a ratio of 1 is

6 ÷ 3 = 2

so 2 sharks is = 1 part or ratio

now we can times by 5 to get a ratio of 5

5 × 2 = 10

there are 10 Dolphins

Step 2: How many starfish

repeat the steps above but for the ratio 2: 7 where 2 is the Dolfin ratio and there are 10 dolphins

put in questions answer you got

Answer:

35 starfish

Step-by-step explanation:

shark/dolphin  *  dolphin /starfish = shark / starfish

Now. put in the numbers given:

3/5 * 2/7 =      6/35  = shark / starfish    put in '6' for shark (given)

        6/35 = 6/starfish        cross multiply

        6 * starfish = 35* 6

           starfish = 35  

Answer:

x=all real numbers

Step-by-step explanation:

1. distribute: 5(x+6)-2x=3(x+10)

                      5x+30-2x=3x+30

2. combine like terms 3x+30=3x=30

3. these are equal therefore x=all real numbers

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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Answer:

The answer is C          

Answer:

No, a triangle with sides 11, 14, 17 is not a right triangle.

Step-by-step explanation:

If this were a right triangle, the 11 and 14 would be the legs and the 17 would be the hypotenuse AND Pythagorean Theorem would work.

Check it:

a^2 + b^2 = c^2

11^2 + 14^2 =? 17^2

121 + 196 = 289 ?

317 = 289 ? Nope.

Pythagorean thm doesn't work on this triangle, so it is not a right triangle.

Answer:

the second one or B

$0.15+$40.00=$58.00

it is this because the number of mins is .15 cent each min

Answer:

\(\frac{b}{a}\) = - \(\frac{1}{8}\)

Step-by-step explanation:

Given

\(\frac{a+2b}{a-b}\) = \(\frac{2}{3}\) ( cross- multiply )

2(a - b) = 3(a + 2b) ← distribute parenthesis on both sides )

2a - 2b = 3a + 6b ( subtract 3a from both sides )

- a - 2b = 6b ( add 2b to both sides )

- a = 8b ( divide both sides by 8 )

- \(\frac{1}{8}\) a = b ( divide both sides by a )

- \(\frac{1}{8}\) = \(\frac{b}{a}\)

Answer:

-1/8

Step-by-step explanation:

a+2b=2

a-b=3

Solve Simultaneous equations by Formula 1 - Formula 2

2b - (-b) = 2-3

3b = -1

b= -1/3

b= -1/3

so: a - (-1/3) = 3

a = 8/3

b/a=

(8/3) / (-1/3)

= (8/3) * (3/-1)

simplify

=-1/8

Answer:

b=8

Step-by-step explanation:

15+b=23

Subtract 15 both side

15-15+b=23-15

b=8

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

5 hours

Step-by-step explanation:

You can use a simple equation for this problem, speed times time is distance. s * t = x. In this case, the distance, x, is 320 and the speed, s, is 64. We can move the s from the equation around and get t = x/s. So time = 320/64 which is 5 hours.

Answer:

80a^9 + 70a^8

Step-by-step explanation:

Use the distributive property and multiply each term in the expression by 10a7

10a7(8a2 + 7a)

80a9+70a8

Answer: x + 1

Hope this helps :)

Answer:

x+1

Step-by-step explanation:

I hope you have a merry christmas!

Answer:

i dont know

Step-by-step explanation:

i still dont know

Therefore, the value of the sample statistics is used to estimate the value of the population parameter.

What is the sample statistics?

A sample statistic is a numerical descriptive measure of a sample. A statistic is usually derived from measurements of the individuals in the sample. The statistics are a characteristic of a sample data distribution like mean, median, mode, standard deviation and proportions.

So, the value of the sample statistics which is used to determine the value of the population parameter.

Hence, the value of the sample statistics is used to estimate the value of the population parameter.

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Answer:

The answer is negative. Answer choice B

Step-by-step explanation:

Here is the question:

-3^40(5.6/2.1)

According to order of operations, we must do -3^40 first.

Its important to note that -3^40 is different than (-3)^40. In the problem you specified, the ^40 only applies to the 3, not -3. So, first we do 3^40 which is a huge number. And then, we need to add a negative symbol to that huge number. So now we have a massive negative number multiplied by 5.6/2.1, which is obviously positive. Obviously, a negative number multiplied by a positive number is still negative. Therfore, the answer is negative.

I hope my answer helped you :)

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The fraction of the punch that is now sprite is 5/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

Let's assume the amount poured out was equal of both liquids:

Convert them into eighths:

Fruit juice: 4/8

Sprite: 4/8

Now to remove 1/4 total we need to remove 1 of each:

Fruit juice: 3/8

Sprite: 3/8

Now add those two we took off to the Sprite:

Fruit juice: 3/8

Sprite: 5/8

Therefore, the sprite is 5/8.

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The laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.

Triangle Law of Vector Addition

Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.

Parallelogram Law of Vector Addition:

The Parallelogram law states that the sum of the squares of the length of the four sides of a parallelogram is equal to the sum of the squares of the length of the two diagonals.

Given,

Here we need to compare and contrast the law of  parallelogram and triangle methods of adding vectors.

While we looking at the definition of the both law,

We have identified that both are performing the sum operation, but Triangle law is for two vectors when the second vector deviates from the direction of the first vector. Note here that second vector starts after the first vector.

Where as in parallelogram law, the two vectors start from the same initial point in two different directions.

So, the laws of parallelogram and triangle methods of adding vectors is compared and the differences are stated.

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To find the volume of the solid B, we need to integrate the areas of the cross sections perpendicular to the x-axis over the interval of x-values that define the base circle.

The equation of the base circle is x^2 + y^2 = 42. This is a circle with radius sqrt(42).

Each cross section perpendicular to the x-axis is an equilateral triangle. The height of each triangle is equal to the radius of the circle, which is sqrt(42), and the length of each side is also equal to the radius.

The area of an equilateral triangle is given by the formula A = (sqrt(3)/4) * s^2, where s is the length of a side. In this case, s = sqrt(42).

Now we can set up the integral to calculate the volume:

V = ∫[a, b] A(x) dx

where A(x) is the area of the cross section at a given x-value.

Since the base circle is symmetric about the y-axis, we can integrate from -sqrt(42) to sqrt(42) to cover the entire base circle.

V = ∫[-sqrt(42), sqrt(42)] (sqrt(3)/4) * (sqrt(42))^2 dx

Simplifying the expression:

V = (sqrt(3)/4) * 42 * ∫[-sqrt(42), sqrt(42)] dx

V = (sqrt(3)/4) * 42 * [x]∣[-sqrt(42), sqrt(42)]

V = (sqrt(3)/4) * 42 * (sqrt(42) - (-sqrt(42)))

V = (sqrt(3)/4) * 42 * 2sqrt(42)

V = (sqrt(3)/2) * 42 * sqrt(42)

V = (21sqrt(3)) * sqrt(42)

V = 21sqrt(126)

Finally, we can simplify the expression for the volume:

V = 21 * sqrt(9 * 14)

V = 63sqrt(14)

Therefore, the volume of the solid B is 63sqrt(14) cubic units.

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The required equation function j which is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

As we can see in the graph the functions j and f are similar but the graph of j is 2 units left of f. So, function f(x) has a domain of real number greater than equal to zero, while as the function j is 2 units left of f then its equation is given as  \(j(x)= (x+2)^{1/2}\)  where the domain of j is all real numbers greater then or equal to -2.

Thus, the equation of function j is the transformation of \(f(x)= x^{1/2}\) is  \(j(x)= (x+2)^{1/2}\) .

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In the question the graph is missing, a graph has been added on behalf of the incomplete question.

We are given a bell-shaped distribution with a mean of 210 and a standard deviation of 27.

We need to find the interval that contains about 95% of the data values by using the 95% rule.

This rule states that if the data comes from a bell-shaped distribution, then approximately 95% of the data values will lie within 2 standard deviations of the mean.

Therefore, we can use this rule to find the interval as follows:

Lower bound:210 - 2(27) = 156,

Upper bound:210 + 2(27) = 264.

The interval is [156, 264].

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Answer:

2^(n-1)

Step-by-step explanation:

To find the nth term of the sequence 1, 2, 4, 8, 16, 32, 64,..., we can observe that each term is obtained by multiplying the previous term by 2. Therefore, the pattern can be described by the formula:

nth term = 2^(n-1)

In this formula, n represents the position of the term in the sequence.

For example: I

If we want to find the 5th term, we substitute n = 5 into the formula:

5th term = 2^(5-1) = 2^4 = 16

So, the 5th term of the sequence is 16.

The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52

From the question, we are to determine the equation which represents p

From the given information,

Nardia collected triple the number of seashells that Pierre did

If Pierre collected p number of seashells

Then,

Nardia collected 3p number of seashells

Also, from the given information,

They collected 52 seashells in total

That is,

3p + p = 52

Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.

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Answer:

x = 15, y = 4

Step-by-step explanation:

x / 5 = 18 / 6 (side splitter theorem)

6x = 90

x = 15

15 / 5 = 12 / y (side splitter theorem)

15y = 60

y = 4

Answer:

about 342.86

Step-by-step explanation:

300 is only 7/8 the value of the original so you know

7/8x = 300

solve for x

you get 342.86

Answers:

Kinetic Energy Formula: \(KE = \frac{1}{2} mv^2\)

Potential Energy Formula: \(PE=mgh\)

Explanations:

For KE:

Kinetic energy is directly proportional to the mass of the object and to the square of its velocity. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared.

For PE:

In the above equation, m represents the mass of the object, h represents the height of the object and g represents the gravitational field strength (9.8 N/kg on Earth) - sometimes referred to as the acceleration of gravity.

So, the last three digits of m*n is 001.

Let p be the probability that Alfred wins given that he goes first. Then, the probability that Bonnie wins given that she goes first is 1-p. Therefore, the probability that Alfred wins the second game given that Bonnie went first in the first game is 1-p. Similarly, the probability that Alfred wins the third game given that he went first in the second game is p, and so on.

Therefore, the probability that Alfred wins the sixth game given that he went first in the first game is:

p(1-p)(1-p)(p)(p)(p) = p^4 (1-p)^2

Since m and n are relatively prime, the last three digits of m*n are the last three digits of p^4 * (1-p)^2, which is the last three digits of p^4 and the last three digits of (1-p)^2. Since p is the probability of winning given that you go first, it is a number between 0 and 1. Therefore, the last three digits of p^4 and (1-p)^2 are 001, resulting in the last three digits of the final answer being 001.

Therefore, the last three digits of m*n is 001.

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Using greatest common factor (GCF), the greatest possible length of each pipe is 12 dm.

The greatest common factor (GCF) of a set of numbers is defined as the largest common positive integer that divides each number into equal parts with zero remainder.

If a carpenter has 2 pipes which are 60 dm and 72 dm long, respectively and he cuts them into equal lengths, then the greatest possible length of each pipe is the GCF of 60 and 72.

60 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

72 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 24, 36, 72

common factors : 1, 2, 3, 4, 6, 12

GCF = 12

Hence, he should cut the two pipes into 12 dm long.

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Yes, the mean and standard deviation of a sampling distribution can be calculated even if the population is not normal.

However, it is important to note that certain conditions must be met for the sampling distribution to be approximately normal, particularly when the sample size is large due to the Central Limit Theorem.

Assuming the sampling distribution meets the necessary conditions, here's how you can calculate the mean and standard deviation:

Mean of the Sampling Distribution:

The mean of the sampling distribution is equal to the mean of the population. Regardless of the population's distribution, the mean of the sampling distribution will be the same as the mean of the population.

Standard Deviation of the Sampling Distribution:

If the population standard deviation (σ) is known, the standard deviation of the sampling distribution (also known as the standard error) can be calculated using the formula:

Standard Deviation (σ_x(bar)) = σ / √n

where σ_x(bar) represents the standard deviation of the sampling distribution, σ is the population standard deviation, and n is the sample size.

If the population standard deviation (σ) is unknown, you can estimate the standard deviation of the sampling distribution using the sample standard deviation (s). In this case, the formula becomes:

Standard Deviation (s_x(bar)) = s / √n

where s_x(bar) represents the estimated standard deviation of the sampling distribution, s is the sample standard deviation, and n is the sample size.

It is important to keep in mind that these calculations assume that the sampling distribution is approximately normal due to the Central Limit Theorem. If the sample size is small or the population distribution is heavily skewed or has extreme outliers, the sampling distribution may not be approximately normal, and different techniques or approaches may be required to estimate its properties.

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Answer:

  XED is 2

  demand will likely be based on price

Step-by-step explanation:

You want the XED for Coke and Pepsi, given that a decrease in price of Pepsi from $2 to $1.75 per liter causes demand for Coke to fall from 6,000 to 4500 liters.

XED is the abbreviation for "cross-elasticity of demand." It is the ratio of the percentage change in the demand for one good to the percentage change in price for another.

  XED = (∆Q/Q)/(∆P/P)

  XED = ((4500 -6000)/(6000))/((1.75 -2.00)/(2.00)) = (2/6000)(-1500/-0.25)

  XED = 2

The XED is positive for substitute goods, and negative for complementary goods (bought together).

The relatively large positive XED for Coke and Pepsi indicates these brands are nearly interchangeable. Consumers will tend to choose one over the other based on price. Apparently, the price of $1.75 per liter of Pepsi is sufficiently low to cause a switch from Coke.

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The first equation, 3^x = 12, is an exponential equation. To solve for x, we would take the logarithm of both sides with base 3:

x = log3(12)

The second equation, x^3 = 12, is a polynomial equation of degree 3. To solve for x, we would take the cube root of both sides:

x = ∛12

The similarity between these two equations is that both are equations with one variable and are looking for the value of that variable.

The main difference between these two equations is the type of function they represent. The first equation is an exponential function, represented by 3^x, while the second equation is a polynomial function, represented by x^3.

As a result, the methods used to solve these equations are also different. The first equation is solved by taking the logarithm of both sides and the second equation is solved by taking the cube root of both sides.

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