on february 13, a jewelry store sells an engagement ring with a sales price of $10,000 to a nervous young man, who pays in cash. the sale is subject to a 9.75 percent sales tax.

According to the question,

Given data in the question.

If the genome contained 20,000 genes, the average length of DNA per gene will be 40,000 base pairs.

What is the average length of DNA per gene?

Only 2.5% of the human genome is protein-coding. Introns make up the remaining 97.5%. The male nuclear diploid genome is 6.27 Giga base pairs (G b p), 205.00 cm (cm) long, and 6.41 picograms in weight (p g). Female measurements are 6.37 G b p, 208.23 cm, and 6.51 p g

For a 25% mammalian genome with 20,000 genes, the total number of base pairs, which is the length of DNA per gene, will be approximately double the payment of genes contained in the genome, in this case 40,000.

The average length of DNA per gene, assuming 20,000 genes in the genome, is 40,000 base pairs.

How long does DNA typically be per gene?

Only 2.5% of the human genome codes for proteins. The remaining 97.5% is made up of introns. The size and weight of the male nuclear diploid genome are 6.27 Giga base pairs (G  bp), 205.00 centimetres (cm), and 6.41 picograms (p g). 6.37 G   bp, 208.23 cm, and 6.51 p g are the female measurements.

The total number of base pairs, which is 20,000 for a 25% mammalian genome with 20,000 genes,

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The average length of DNA per gene would be 40,000 base pairs if the genome had 20,000 genes.

The human genome only codes for proteins in 2.5% of it. The remaining 97.5% are introns. The male nuclear diploid genome measures 205.00 centimeters (cm), is 6.27 Gigabase pairs (Gbp), and weighs 6.41 picograms (pg). 208.23 cm, 6.51 pg, and 6.37 Gbp are the female measurements.

Although there may be some hereditary component to math aptitude, this probably only accounts for a small portion of it. Even in the current study, genetics alone could only account for 20% of math prowess. According to Libertus, "this leaves more than 80% of the variety in children's math aptitude unexplained."

The overall number of base pairs, which is the length of DNA per gene, will be roughly twice the number of genes present in the genome, in this example 40,000, for a 25% mammalian genome with 20,000 genes.

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The rule about splitting infinitives is avoid using a word between TO and the verb if at all possible. The correct quote is "To go boldly where no one has gone before."

In the given question, we have to explain the rule about splitting infinitives and how we rewrite the quote based on this rule

The given quote is

"To boldly go where no one has gone before."

Splitting infinitives is prohibited according to grammar rules. Avoid using a word between TO and the verb if at all possible. Split infinitives are improper grammatically, therefore avoid using them.

So, in order to change this quote, you should:

"To go boldly where no one has gone before."

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The right question is:

What is the rule about splitting infinitives? How would you rewrite the quote above based on this rule?

read this quote that comes from a popular television and movie franchise:

"To boldly go where no one has gone before."

The values of x and y of the corresponding sides of the congruent triangles  are;

y = 3.8

x = 4.6

There are 5 main congruence postulates pertaining to congruent triangles and they are;

SSS - Side Side Side congruence postulate

SAS - Side Angle Side congruence postulate

ASA - Angle Side Angle congruence postulate

AAS - Angle Angle Side congruence postulate

HL - Hypotenuse Leg Congruence Postulate

Now, we are given the three sides of both triangles that are said to be congruent and this means that the three corresponding sides are congruent. Thus;

AB = DE;

10 = 3x - y    ------(1)

Similarly;

BC = EF

18.8 = 6y - 4   -----(2)

Add 4 to both sides in equation 2 to get;

22.8 = 6y

y = 22.8/6

y = 3.8

Thus;

10 = 3x - 3.8

3x = 13.8

x = 13.8/3

x = 4.6

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The expression equivalent to 12m(m-3n) using distributive property is 12m² - 36mn.

An expression is combination of variables, numbers and operators.

The given expression is  12m(m-3n) .

Twelve m times m minus three times n.

12m(m-3n).

12m is to multiplied to m minus three n.

12m²-35mn.

Twelve m square minus thirty five times of m and n.

Hence, 12m²-35mn is the expression equivalent to 12m(m-3n) .

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Answer: 2005 pounds

Step-by-step explanation:

1 ton is 2000 pounds

Answer:

2,005 pounds

Step-by-step explanation:

Hope it helps!

The answer is weak negative correlation.

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Answer:

What is even the question?

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

27/3 + 12

The amount of money that Monica needs to deposit  each month in order to save up $10,000 in 5 years is; $91017.17865

The formula for compound interest is;

A = P (1 + r/n)^(nt)

where;

A is the total amount of money in the account after the interest has been compounded.

P is the initial deposit.

r is the interest rate.

n is the number of times the interest is compounded in a year

t is the number of years the money is deposited.

We are told that Monica would like to save up $10,000. Thus;

The initial deposit = $10,000.

The interest rate = 2.05%.

The number of times the interest is compounded per year; n = 12 (because the interest is compounded monthly),

The number of years the money is deposited; t = 5.

Plugging these values into the compound interest formula, we get:

A = 10000 (1 + (0.0205 / 12))^(12 * 5)

A = 10000 (1.001708333)^60

A = 10000 (1.101717865)

A = $101017.17865

Thus, the total amount of money in the account after 5 years will be $101017.17865.

Since Monica wants to save up $10,000, we can subtract this amount from the total amount in the account to find out how much she needs to deposit each month in order to reach her goal:

101017.17865 - 10000 = 91017.17865

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From the  arrangement given, it can be concluded that-

Frank is between Chuck and Bob

What is arrangement?

The way of putting up a particular thing in order for a particular purpose or activity is called arrangement.

From the seating arrangement given,

Andy is on the end: but Eliot isn't

Andy  ___  ___ ___ ___ ___

Eliot is not on the end and Eliot and Doug have three people between them

Andy Elliot ___ ___ ___ Doug

Chuck sits next to Eliot, but not next to Bob

Andy Elliot Chuck ___ Bob Doug

Only Frank is left

Andy Elliot Chuck Frank Bob Doug

So Frank is between Chuck and Bob

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The value of l such that the rectangle and trapezium have the same area will be 18 feet.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

The perimeter of the rectangle = 2( length + width).

As per the given,

Area of rectangle = area of a trapezoid

9 x l = (1/2)(24 + 12)9

9l = 162

l = 18 feet

Hence "The amount of l that must be present for the rectangle and trapezium to share the same area is 18 feet.".

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Answer:

∠1 = 47°

Step-by-step explanation:

angles in a triangle add up to 180°

∠1 + 63 + 70 = 180

∠1 + 133 = 180

∠1 = 180 - 133

∠1 = 47°

Answer: -7/4

Step-by-step explanation: see attached

Answer:

-29

Step-by-step explanation:

you add both decimals together you get -.2x=5.8 you divide both sides by -.2x and you get x=-29

The transformation equivalent to the reflection across the line q = -1, followed by the reflection across the line p = 2, [tex]r_p \circ r_q[/tex] is a translation of 6 units to the right.

A reflection transformation is one in which the points of the image are mirrored across the line of reflection.

The coordinate of a point (x, y) following a reflection about the y-axis is the point (-x, y)

The line x = -1 is parallel to the y-axis, therefore, only the x-coordinate of the preimage point (x, y) will change following the reflection across the line, q, [tex]r_q[/tex], x = -1

The relative x-coordinate of a point (x, y) to the line x = -1 is x + 1

Therefore, the image of the point (x, y) following the reflection across the line x = -1 and relative to the line is the point (-(x + 1), y) = ((-x - 1), y)

Relative to the x-axis, the point ((-1 - x), y) is (-1 + (-1 - x), y) = (-2 - x, y)

The coordinate of a point (x, y) relative to the line x = 2 is (x - 2, y)

Therefore, the coordinate of the point ((-2 - x), y) relative to the line x = 2 is ((-2 - x) - 2, y) = ((-4 - x), y)

The image of the point ((-4 - x), y) following a reflection across the line x = 2, [tex]r_p[/tex], is (-(-4 - x), y) = ((4 + x), y)

Relative to the y-axis, the coordinate of the image point ((4 + x), y) is ((2 + (4 + x)), y)

((2 + (4 + x)), y) = ((6 + x), y)

The translation equivalent to the transformation, [tex]r_p \circ r_q[/tex] is a translation of 6 units to the right

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Yes, one can use more than one infinitives in the same sentence. For example : I have to wash my hand to keep myself clean.

Reason for the given statement:

To use two or more infinitives in the same sentence:

Therefore, it is perfectively alright to use more than one infinitives in the same sentence.

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Answer: x ≤ -1

Step-by-step explanation:

8 ≤ -4x+4

4x+8 ≤4

4x ≤-4

x ≤ -1

Answer:

Step-by-step explanation:

first open the bracket by multiplying -4 through

8 ≤ -4x + 4

then group like terms and unlike terms  

therefore; 8 - 1 ≤ -4x or -4x ≤ 8-4

-4x ≤ 7 then divide both side by -4

so, ⇒ x ≤ -4/4

x≤-1

The system of equations to model Monica's and Shanna's savings is y = 10x + 50 for Monica and y = 15x + 100 for Shanna.

To model Monica's savings and Shanna's savings using a system of equations, we can use the variables x and y, where x represents the number of weeks and y represents the savings.

Let's start by defining the equation for Monica's savings. We'll use the equation y = mx + b, where m represents the savings per week and b represents the initial savings.

Next, let's define the equation for Shanna's savings. We'll use the same equation, y = mx + b, but with different values for m and b.

For example, let's say Monica saves $10 per week and initially has $50 in savings. The equation for Monica's savings would be y = 10x + 50.

Now, let's say Shanna saves $15 per week and initially has $100 in savings. The equation for Shanna's savings would be y = 15x + 100.

So, the system of equations to model Monica's and Shanna's savings would be:
Monica: y = 10x + 50
Shanna: y = 15x + 100

By using this system of equations, we can determine Monica's and Shanna's savings at any given number of weeks, x. Simply substitute the value of x into the equations and solve for y.

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The equations that represent the pattern are:

P = 3n

P = 2n + 1

Options A and C are the correct answer.

An equation is a mathematical statement of two expressions connected by an equal sign.

Example:

2x = 5 is an equation.

We have,

P = 3 when n = 1.

a) P = 3n

P = 3 x 1 = 3

b) P = n + 3

P = 1 + 3 = 4

c) P = 2n + 1

P = 2x 1 + 1 = 2 + 1 = 3

d) P = 3 - n

P = 3 - 1 = 2

We see that,

P = 3n and P = 2n + 1 gives P = 3 when n = 1.

Thus,

P = 3n and P = 2n + 1 gives P = 3 when n = 1.

Options A and C are the correct answer.

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Since, the mean of distribution of data is 3.56 then the median is also 3.56 because the distribution is symmetric.

Symmetric Distribution:

A symmetric distribution is when the values ​​of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other.

In graphical form, a symmetric distribution is displayed as a normal distribution (that is, a bell curve). Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve. A symmetric distribution can be contrasted with an asymmetric distribution.

Relation between Median and Mean

A distribution always has a median and a mode, but not always a mean. Consider the Cauchy distribution. No average exists. Modes are always present, but may not be unique. This means that you can get a distribution that is not unimodal (that is, multimodal).

So, if we have a symmetric distribution with a mean and the distribution is unimodal, we can say:

                          Mean = Median = Mode

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The range and the vertex is   4 ≤ y < [infinity] and  (5, 4).

To find the vertex, we can take the derivative of the function and set it equal to 0:

y' = |x − 5|' = 0

=> x − 5 = 0

=>  x = 5

Then, we can plug x = 5 into the original equation to find the y-value at the vertex:  

y = |x − 5| = |5 − 5| = |0| = 0

So, the vertex of y = |x − 5| is (5, 4).

To find the range, we need to consider the range of the absolute value function. The range of the absolute value function is:

−[infinity] < y < [infinity]. So, the range of y = |x − 5| is also −[infinity] < y < [infinity] (or 4 ≤ y < [infinity]).

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We can solve the given linear equations using graphing and substitution method. Substitution is more accurate, since it provides an exact answer.(x,y)=(1.5,4.5) is the answer for the given linear equation.

As Math Planet correctly notes, to solve a system of linear equations by graphing, we simply graph both equations in the same coordinate plane and locate the intersection of the two lines. Substitution-Based Graphing of Linear Equations. By substituting values for x, we may obtain the appropriate y values and display the points on a line with the equation y = ax + b. (x, y). Two points must be produced by replacement in order to create a line between them.

x + y = 6 → y = 6 − x

5x − y = 3

⇒5x − (6 − x) = 3

⇒5x + x − 6 = 3

⇒6x = 9

⇒x = 1.5

⇒1.5 + y = 6

⇒y = 4.5

(x,y)=(1.5,4.5)

We can solve the given linear equations using graphing and substitution method. Substitution is more accurate, since it provides an exact answer.(x,y)=(1.5,4.5) is the answer for the given linear equation.

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Answer:

Step-by-step explanation:

A......

The range of the given function y = 3 | x - 1 | +3 for the domain 0 ≤ x ≤ 3 will be [3,9].

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

The given function has been drawn below.

The minimum value of the function in interval 0 ≤ x ≤ 3 is 3 while the maximum value is 9.

The range will be [3,9].

Hence "For the domain 0 x 3, the provided function, y = 3 | x - 1 | +3, will have a range of [3,9].".

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A function in the variable w giving the cost C is 81.77 dollars.

Volume is a unit of measurement for the area occupied in three dimensions. It is widely quantified and measured using SI-derived units, alternative imperial units, or US standard units (such as the gallon, quart, cubic inch). Volume and length (cubed) have a similar meaning.

First, volume was calculated using naturally occurring vessels with a similar shape, and then using standardized containers.

Surface area of an open lid container is:

A=2×sides+Base

So,

A=2(lh+wh)+lw

Cost of the base is $5 per square meter and the cost of the sides is $3 per square meter.

Now, the cost function is:

C=3×2(lh+wh)+5×lw

C=6(lh+wh)+51w

Here, the length is twice the width then,

l=2w

C=6(2wh+wh)+5×2w²

C=6(3wh)+10w²

C=18wh+10w²

And we know that the volume is,

V= lwh

2w²h=10

h=5/w²

C=18wh+10w²

C=18w×(5/w²)+10w²

C=(90/w)+w²

C'=(-90/w²)+20w

0=(-90/w)+20w

20w=(90/w²)

20w³=90

w³=45

w=1.65

C=(90/1.65)+10×1.65²

C=81.77

Therefore, a function in the variable w giving the cost C is 81.77 dollars.

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Answer:a=pi*r^2

Step-by-step explanation:

area=pi*radius squared

The inverse functions required from the given table of values are;

f⁻¹(1) = 1/3

f⁻¹(12) = 1/13

f⁻¹(7) = 1/9

An inverse function also called an anti function is defined as a function, that can reverse into another function. This simply means that, if any function “f” takes x to y then, the we can say that the inverse of the function “f” will take y to x. If the function is denoted by 'f' it means that the inverse function is denoted by f⁻¹(x)

For example, we have the function;

y = 2x + 3, the inverse would be;

f⁻¹(y) = (x - 3)/2

Thus, from the given table;

f⁻¹(1) = 1/3

f⁻¹(12) = 1/13

f⁻¹(7) = 1/9

Thus, we conclude that the inverse functions of f⁻¹(1), f⁻¹(12) and f⁻¹(7) are respectively 1/3, 1/13 and 1/9.

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