help pls please hmmmm​

The 14C:12C ratio can be used to date fossils that are up to approximately 50,000 years old. This is because the half-life of carbon-14 (14C) is about 5,730 years, which limits its effective dating range.

In summary, the 14C:12C ratio is used to date fossils that are up to approximately 50,000 years old due to the half-life of carbon-14 (14C).

Carbon-14 is a radioactive isotope of carbon that is formed in the upper atmosphere through the interaction of cosmic rays with nitrogen-14. It is incorporated into the carbon cycle and taken up by living organisms through photosynthesis or consumption of other organisms. While an organism is alive, the 14C:12C ratio remains relatively constant. However, once the organism dies, it no longer takes in carbon-14, and the 14C atoms in its remains undergo radioactive decay. By measuring the 14C:12C ratio in a fossil sample and comparing it to the 14C:12C ratio in the atmosphere at the time of death, scientists can estimate the age of the fossil. However, the effectiveness of carbon-14 dating diminishes as the age of the sample exceeds around 50,000 years, as the amount of remaining carbon-14 becomes too small to accurately measure.

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Answer:

x = - 90

Step-by-step explanation:

Given

10x + 60 = 9x - 30 ( subtract 9x from both sides )

x + 60 = - 30 ( subtract 60 from both sides )

x = - 90

The expected number of rolls until all faces have appeared in some order in six consecutive rolls is 1 / [1 - (5/6)^6].

To find the probability that all faces have appeared in some order in six consecutive rolls of a 6-sided die, we can use the principle of inclusion-exclusion.

Let's calculate the probability of the complement event first, which is the probability that at least one face is missing from the sequence in six consecutive rolls.

In the first roll, there are 6 possibilities for the face that appears. In the second roll, there are 5 possibilities remaining, and so on. Therefore, the probability of missing a face in one roll is (5/6).

Since we want to find the probability of missing a face in six consecutive rolls, we multiply the probabilities together: (5/6)^6.

Now, to find the probability of all faces appearing in some order in six consecutive rolls, we can subtract the probability of the complement event from 1.

Probability = 1 - (5/6)^6.

For the expected number of rolls until such a sequence appears, we can use the concept of geometric distribution. The expected number of rolls for a geometric distribution is equal to 1 divided by the probability of success.

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Therefore, the probability that all four trees selected are apple trees is 0.0038, which can be expressed as a decimal rounded to four decimal places.

To find the probability that all four trees selected are apple trees, we need to use the formula for probability:
P(event) = number of favorable outcomes / total number of possible outcomes
In this case, we want to find the probability of selecting four apple trees out of a total of 100 trees. We know that there are 62 apple trees out of 100, so we can use this information to calculate the probability.
First, we need to calculate the number of favorable outcomes, which is the number of ways we can select four apple trees out of 62:
62C4 = (62! / 4!(62-4)!)

= 62 x 61 x 60 x 59 / (4 x 3 x 2 x 1)

= 14,776,920
Next, we need to calculate the total number of possible outcomes, which is the number of ways we can select any four trees out of 100:
100C4 = (100! / 4!(100-4)!)

= 100 x 99 x 98 x 97 / (4 x 3 x 2 x 1)

= 3,921,225
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
P(event) = 14,776,920 / 3,921,225 = 0.0038
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Answer:

10: -11n^5

12: 6k^2 -6k+7

Step-by-step explanation:

Ok so what your gonna do is add or subtract the ones with the same exponent.

so -15+4= -11 since they are both n^5 you can add them so your answer is:

-11n^2

now you have 8k^2-k-5k+7-2k. so you are gonna rearrange them so the same exponents are together.(keep the sign in front in front, if no sign it is positive)

8k^2-2k^2-5k-k+7

add like exponents

6k^2-6k+7

In a metes-and-bounds description, directions are typically given as a bearing, which is the angle measured clockwise from north.

So, if a direction is given as "north 10 degrees east," it means that the direction is 10 degrees to the east of due north.

To determine the opposite direction, we need to find the bearing that is 180 degrees opposite to "north 10 degrees east." To do this, we subtract 10 from 180, giving us a bearing of "south 170 degrees east."

In other words, the opposite direction of "north 10 degrees east" is "south 170 degrees east."

Metes-and-bounds descriptions are commonly used in real estate to describe the boundaries of a property. These descriptions rely on a series of directions and distances to outline the boundaries. Accurately understanding the directions in these descriptions is important in order to avoid boundary disputes or errors in land surveys.

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Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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The recursive sequence that produces the sequence 4, -6, 4 is:

4, -6, 4, -6, 4, ...

A function that refers back to itself is referred to as a recursive sequence. Here are a few recursive sequence examples. Because f (x) defines itself using f, f (x) = f (x 1) + 2 is an illustration of a recursive sequence.

To generate the sequence 4, -6, 4 using a recursive sequence, we can use the following formula:

\(a_n = a_{n-1} + (-1)^{n+1} * 10\)

where \(a_n\) is the nth term of the sequence.

Using this formula, we get:

\(a_1 = 4\\a_2 = 4 + (-1)^{2+1} * 10 = -6\\a_3 = -6 + (-1)^{3+1} * 10 = 4\)

Therefore, the recursive sequence that produces the sequence 4, -6, 4 is:

4, -6, 4, -6, 4, ...

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Answer:

1) X = 10 Therefore, 10 + 2 + 10 = 22.

2) B = 2 Therefore, 15 = 8(2) - 5 + 2(2)

3) B = -0.9 Therefore, -10 + 4(3(-0.9) + 10) = 19.

Answer:

8 and 2/8

Step-by-step explanation:

3 and 2/8 times 2 is 6 and 4/8 then u subtract that from 14 and 6/8

Answer:

1 is 18, and 2 is 36 brainliest

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

(a) The initial speed of the projectile - 28.2m/s

(b)The total time interval the projectile was in flight - 4.07s.

a) When a projectile is launched with speed \(v_{i}\) at an angle above the horizontal, the initial velocity components are \(v_{xi}\) = \(v_{i}\) cos\(θ\) and                  \(v_{yi}\)= \(v_{i}\) sin\(θ\) . Neglecting air resistance, the vertical velocity when the projectile returns to the level from which it was launched (in this case, the ground) will be \(v_{y} = - v_{yi}\) .

From this information, the total time of flight is found  \(v_{yf} = v_{yi} + a_{y}\) to be

         \(t_{total} = \frac{v_{yf} - v_{yi} }{a_{y}}\)   = \(\frac{-v_{yi} - v_{yi} }{-g}}\)  = \(\frac{2v_{yi} }{g}\)

         \(t_{total} = \frac{2v_{i}sinθ }{g}\)

Since the velocity of a projectile with no air resistance is constant, the horizontal distance it will travel in this time is given by

R = \(v_{xi} t_{total} = (v_{i} cosθ_{i}) \frac{2v_{i}sinθ }{g}\)  =  \(\frac{v^{2}_{i}}{g}( 2sinθ_{i} cosθ_{i} )\) = \(\frac{v^{2} _{i} (sin2θ_{i} ) }{g}\)

Thus, if the projectile is to have a range of R=81.1m when launched at an angle of \(θ_{i}\)=45.0°, the required initial speed is

\(v_{i} = \sqrt{\frac{81.1 * 9.80}{sin90} }\) = 28.2 m/s

Therefore, the initial speed of the projectile - 28.2m/s

b) With \(v_{i}\)=28.2m/s and \(θ_{i}\) = 45.0°, the total time of flight (as found

above) will be

        \(t_{total} = \frac{2v_{i}sinθ }{g}\)  = \(\frac{2(28.2 m/s) sin45}{9.80m/s^{2}}\) = 4.07s

∴The total time interval the projectile was in flight - was 4.07s.

c) Note that at \(θ_{i}\) =45.0° that sin(2\(θ_{i}\)) will decrease as \(θ_{i}\) is increased above this optimum launch angle. Thus, if the range is to be kept constant while the launch angle is increased above 45.0°, we see from \(v_{i}\) = \(\sqrt{\frac{Rg}{sin2θ_{i}} }\)that the required initial velocity will increase.

Observe that for \(θ_{i}\) <90°, the function sin\(θ_{i}\) increases as \(θ_{i}\) it increased. Thus, increasing the launch angle above 45.0° while keeping the range constant means that both \(v_{i}\) sins will increase. Considering the expression  \(t_{total}\) given above, we see that the total time of flight will increase.

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The correct question is :

The record distance in the sport of throwing cowpats is 81.1m. This record toss was set by Steve Urner of the United States in 1981. Assuming the initial launch angle was 45° and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the total time interval the projectile was in flight. (c) How would the answers change if the range were the same but the launch angle was greater than 45°? Explain.

Answer:

the answer is c

Step-by-step explanation:

2/5=.4

4/8=.8

.4 is smaller than .8

Answer:

C

Step-by-step explanation:

2/5= 0.4

1/10= 0.1

4/5= 0.8

The solution set is x > 12/7 or x > 1.71 (rounded to two decimal places).

The correct answer is:

b. x > 1.71 (rounded to two decimal places).

To solve the inequality 14x + 8| > 16, we can break it down into two cases: one where the expression inside the absolute value is positive and one where it is negative.

Case 1: 8| > 16 (when the expression inside the absolute value is positive)

Solving this inequality, we have:

8 > 16

This is not true, so there are no solutions in this case.

Case 2: -8| > 16 (when the expression inside the absolute value is negative)

To solve this inequality, we need to flip the inequality sign when multiplying or dividing by a negative number:

-8 > 16

This is true, so we can proceed to solve for x:

14x - 8 > 16

14x > 24

x > 24/14

x > 12/7

Therefore, the solution set is x > 12/7 or x > 1.71 (rounded to two decimal places).

The correct answer is:

b. x > 1.71 (rounded to two decimal places).

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Answer:

With the amount of fuel she has, she can drive 120 km which will take 2 hours.

Step-by-step explanation:

You need to figure out which information is necessary for this problem and which is not.

The fuel tank has 20 L.

The car drives 6 km per L.

20 L * 6 km/L = 120 km

She can drive 120 km with the amount of fuel she has.

She is driving at 60 km/h.

speed = distance/time

time * speed = distance

time = distance/speed

time = (120 km)/(60 km/h) = 2 hours

Answer: With the amount of fuel she has, she can drive 120 km which will take 2 hours.

Answer: C

Step-by-step explanation:

Supplementary angles add up to 180

x + 83 = 180

x= 97

Answer:

1=15.7

2:31.4

3:12.5

Step-by-step explanation:

1=5×3.14=15.71

2:5×2=10×3.14=31.42

3:39.25÷3.14=12.5

hope this helps

Answer:

1 is 15.7, 2 is 31.4, 3 is 12.5

Step-by-step explanation:

1.C=πd

C=π×5

C=5π

Circumference = 15.7

2.C=2πr

C=2×π×5

C=10π

Circumference = 31.4

3. diameter=Cπ

d=39.25π

d=39.25/3.14

Diameter = 12.5

Hope this helped.

75% of the beads are green in color.

percentage, a relative value indicating hundredth parts of any quantity.

Given that Chase ordered a set of beads

He received 4,000 beads in all.

3,000 of the beads were green.

We need to find the  percentage of the beads were green of 4000.

x/100×4000=3000

40x=3000

Divide both sides by 40

x=75%

Hence, 75% of the beads are green in color.

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The surface area of the figure is equal to 872 in².

In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:

SA = 2(WH + LW + LH)

Where:

By substituting the given parameters into the formula for the surface area of a rectangular prism, we have the following;

SA = 2(17 × 8 + 17 × 12 + 8 × 12)

SA = 2(136 + 204 + 96)

SA = 2(436)

SA = 872 in².

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Answer:

y = -15x - 3.04

Step-by-step explanation:

1) First place down what you are given.

Y = a(x - p) (x - q)

2) Then Substitute.

a = -16

p = -0.12

q = 1.12

y = (-16)(x - (-0.12))(x - (1.12)

3) Do order of operations (PEMDAS)

y = (-16)(x + 0.12)(x - 1.12)

Now distribute

y = − 16 x  −  1.92 + (x - 1.12)

y = -16x - 1.92 + x - 1.12

y = -16x + x - 1.92 - 1.12

y = -15x - 3.04

4)

You answer is:

y = -15x - 3.04

Answer:

this was 3 minutes ago... you still need the answer?

Step-by-step explanation:

The image of (4, -4) after dilation by a scale of 5 is (20, -20).

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape. A dilation should either stretch or shrink the original shape. This transformation is expressed by the term “scale factor.”

if a shape is dilated, it is either decreased in size or enlarged in size so for a scale factor of 5, it means enlargement

so multiplying the coordinates by 5 it becomes (20, -20)

In conclusion, the coordinates after dilation are (20, -20)

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Answer:

NO solution

this is absolute value meaning whatever is in the signs l    l   will come out to a positive. THis cant posibly equal a negative

Step-by-step explanation:

Answer:

122

Step-by-step explanation:

i think cause they would be parallel

Answer:

an american football field measures 100 yards long between the endzones,and is 53 1/3 yards wide.is the length of the diagonal across this field more or less than 120 yards . what is the value rounded to the nearest tenth of a yard

Step-by-step explanation:

To solve, you need to use Pythagorean Theorum

a^2+b^2=c^2

100^2+53.33^2 = c^2

10,000+2844.0889=c^2

12844.1=c^2

square root

= 113 1/3 yards

So it is less than 120 yards

The measurement of ∠STU is 20°.

Define Angle

When two rays are connected at their endpoints, they form an angle in geometry. We refer to these rays as the angle's sides or arms.

Components of an Angle

An angle is composed of the arms and the vertex as its two basic components:

Given, ∠STU = \((\frac {1}{4} x+8)\)°

∠UTV = x+2°

Given, that the line TV bisects ∠STU,

∠STV = ∠UTV

Substitute their values,

\((\frac {1}{4} x+8)\)° = x+2°

Calculating,

\(\frac{1}{4}x-x\) = 2-8

\(-\frac{3}{4}x\) = -6

x = \(-6*(-\frac{4}{3})\)

x = 8

So, we know that:

∠STU = ∠STV + ∠UTV

          =  \((\frac {1}{4} x+8)\)° +( x+2°)

          =  \((\frac {5}{4} x+10)\)

Now, substitute the value of x,

∠STU =  \((\frac {5}{4} )*8\)°+10°

          = 10° + 10°

          = 20°

Therefore, the measure of ∠STU is 20°.

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Step-by-step explanation:

A

let's bring everything on the right hand side back under the square root :

8² = 64

(x³)² = x⁶

so, we get

sqrt(448x^c) = sqrt(64×7×x⁶×x) = sqrt(448×x⁷)

therefore, c = 7

B

similar to A let's bring everything on the right side under the cubic root :

4³ = 64

(x)³ = x³

cubic root(576x^d) = cubic root(64×9×x³×x²) =

= cubic root(576×x⁵)

therefore, d = 5

Answer:

2 5 x8

Step-by-step explanation:

i cant write it how it's supposed to be but u get it am sure its just 2 then 5 on top then just x8

sorry if i confused u hoped this helped..!!<3

To show that λâ1 is an eigenvalue of aâ1, we need to show that there exists a nonzero vector y such that aâ1y = λâ1y.
Let's use the hint and suppose that a nonzero vector x satisfies ax = λx. Then we can multiply both sides of this equation by aâ1 on the left to get:
aâ1(ax) = aâ1(λx)
x = aâ1(λx)
λâ1x = aâ1x
So if we let y = x, we have aâ1y = aâ1x = λâ1x = λâ1y. And since we started with a nonzero x, we know that y is also nonzero.
Therefore, we have shown that λâ1 is an eigenvalue of aâ1, as required.

To show that λ^(-1) is an eigenvalue of A^(-1), we will use the hint provided. Suppose a nonzero vector x satisfies Ax = λx, where λ is an eigenvalue of the invertible matrix A.

Since A is invertible, A^(-1) exists. Now, we can multiply both sides of Ax = λx by A^(-1) on the left:
A^(-1)(Ax) = A^(-1)(λx)

Using the associative property of matrix multiplication, we have:
(A^(-1)A)x = λ(A^(-1)x)

As A^(-1)A is the identity matrix I, the equation becomes:

Ix = λ(A^(-1)x)

Since Ix = x, we have:

x = λ(A^(-1)x)

Now, we want to find the eigenvalue of A^(-1). To do this, we'll divide both sides of the equation by λ:

x/λ = A^(-1)x

Since x is a nonzero vector, we can rewrite the equation as:

A^(-1)x = λ^(-1)x

Here, we see that λ^(-1) is indeed an eigenvalue of A^(-1), as it satisfies the eigenvalue equation A^(-1)x = λ^(-1)x for the nonzero vector x.

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