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A number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10².

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may also be referred to as standard form, scientific form, or standard index form.

Always set the base to 10. The exponent must be an integer that is non-zero, therefore it can either be positive or negative. The coefficient's absolute value is more than or equal to 1, but it must be less than 10.

It should be noted that the number that can be expressed in scientific notation will be (2 × 10³) × 4 × 10². This will be:

= (2 × 10³) × (4 × 10²)

= 8 × 10^5.

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The X can be placed on the line at either 23 or -3 on the axis.

Describe line.

A line, according to Euclid, is the distance between two points and can stretch forever in either direction.

Given:

WX=10

W is now at -13.

Right now, we are unsure of whether W or X comes first.

Taking two cases

Case 1:

W comes first before

X is at

=10-(-13)

=23

Case 2:

X came first before

X is at

=10+(-13)

= -3

Therefore, X can be placed at either at 23 or -3 on the axis respectively

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Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation

Juan has just completed a 15 kilometer race in 20 minutes.  What was his average speed in kilometers per hour?

Solution

First, 15 kilometers is a distance, so

       d  =  15

Next, we are given 20 minutes and we are asked to present the speed in kilometers per hour rather than kilometers per minute.  We need to convert 20 minutes to hours.  Since there are 60 minutes per hour, we divide by 60 to find out how many hours it took

t  =  20 minutes / 60 minutes per hour =  1/3 hours

Now we can use the d=rt equation:

15  =  (r)(1/3)

If we multiply both sides

(3)(5)  =  (r)(1/3)(3)  or  r  =  45

Juan's average speed was 45 kilometers per hour.

The most appropriate choice for percentage will be given by-

14 categories can be carried

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Total area of selling space = \(2500 ft^2\)

Percentage of space used for isles = \(30\) %

Area of space used for isles = \(\frac{30}{100} \times 2500\)

                                               = \(750 ft^2\)

Area of space left = \(2500 - 750\)

                              = \(1750 ft^2\)

Area of space reserved for each category =  \(125 ft^2\)

No of categories = \(\frac{1750}{125}\)

                            = \(14\)

14 categories can be carried

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Answer:

£8489.66

Step-by-step explanation:

100% × 2% = 102%

102% = 1.02

£8000 × \(1.02^{3}\) = 8489.664

= £8489.66

Answer:

4

Step-by-step explanation:

if you take -6 and subtract it by 2 it equals -4

The complete factorization of the polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

A polynomial is an expression consisting of coefficients and variables forming an equation.

Given the polynomial:

x³ + 2x² -x - 2

Factorizing:

= (x + 2)(x² - 1)

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

The polynomial x³ + 2x² -x - 2 is equal to (x + 2)(x + 1)(x - 1)

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The correct inequality that describes the problem is 4x ≥ 40. Thus, the correct answer is A.

The answer is A because Ms. Wells is ordering 4 large cheese pizzas, and she expects to spend at least $40 on the pizzas. The inequality 4x ≥ 40 represents the total cost of the pizzas, which is 4 times the cost of each pizza (4x) and should be greater than or equal to $40. This inequality tells us that the total cost of the pizzas is at least $40, which is what Ms. Wells expects.

Option B, 4x > 40x, is incorrect because it doesn't make sense mathematically. The right side of the inequality is 40x, which is not related to the problem, and it also doesn't make sense that each pizza will cost 40 dollars.

Option C, 4x ≤ 40, is incorrect because it represents the total cost of the pizzas as less than or equal to $40, which doesn't match with Ms. Wells' expectation that she expects to spend at least $40 on the pizzas.

This question should be provided with answer choices, which are:

The correct answer is A.

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Sigma factors are necessary in the initiation phase of transcription. This phase requires a complex called RNA polymerase to locate the DNA's start site and begin the synthesis of a new RNA strand.

RNA polymerase recognizes promoters, which are DNA sequences adjacent to the transcription start sites that define the start site for RNA synthesis. Sigma factors are subunits of RNA polymerase that help it recognize promoters.Sigma factors regulate the initiation of RNA synthesis by RNA polymerase.

The sigma factor is a DNA-binding protein that recognizes specific promoter sequences and recruits RNA polymerase to the DNA molecule at the appropriate location. When the sigma factor binds to a promoter, RNA polymerase becomes anchored and initiates transcription. There are several sigma factors, each of which recognizes a different promoter sequence.

They are required for transcription of different sets of genes in response to environmental cues or other cellular stimuli.It is worth noting that the promoter sequence that sigma factors bind to can vary in terms of its similarity to the consensus sequence recognized by the sigma factor.

Sigma factors can also recognize alternative promoter sequences that bind to the RNA polymerase core enzyme with lower affinity than the consensus sequence. In general, a promoter with a perfect match to the consensus sequence is more effective than one with a non-perfect match in initiating transcription.

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The shape of the sampling distribution is attached below

What is standard deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

The mean of the sampling distribution of the sample means is the mean of the population from which the scores were sampled.

The standard error of the mean is the standard deviation of the sampling distribution of the sample mean.

A Z-score indicates the number of standard deviations an element is deviated from the mean.

Using Central limit theorem,

If (n >30) is sufficiently large then the sampling distribution of sample mean follows a normal distribution with mean µx = µ

and standard error

σx = σ / √n

The formula for mean of the sample mean is,

µx = µ

The formula for standard deviation of the sample mean is,

σx = σ / √n

µ = 10.05

σ = 3

n = 64

∴The  value or mean of the sample mean is,

µx = µ

     = 10.05

The standard deviation of the sample mean is,

σx = σ / √n

    = 3 / √64

    = 0.375

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To find the lateral area of a pentagonal pyramid, you need to calculate the sum of the areas of the five triangular faces that make up the sides of the pyramid.

The formula for the lateral area of any pyramid is given by L = (1/2)Pl, where P represents the perimeter of the base and l represents the slant height of each triangular face.

In the case of a pentagonal pyramid, the base is a pentagon, which means it has five sides. To calculate the perimeter of the base, you can add the lengths of all five sides. Once you have the perimeter, you need to find the slant height, which is the distance from the apex (top) of the pyramid to the midpoint of any side of the base triangle.

Once you have the perimeter and slant height, you can substitute these values into the formula L = (1/2)Pl to calculate the lateral area of the pentagonal pyramid.

It's important to note that the lateral area only considers the surface area of the sides of the pyramid, excluding the base. If you want to find the total surface area, you need to add the area of the base as well.

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Answer: 45

Step-by-step explanation:

I had the same problem it's 45. 45 is the maximum or greatest data in the box plot.

Answer:

C. (5, -3)

Step-by-step explanation:

Ordered pair just means the coordinate or the point at which both of the graphs intersect. On the x-axis, this is at point 5, and on the y-axis, this is at point -3. Since an ordered pair is in the form (x, y), the answer is therefore C.

The solution to the set of graphical equations are P ( 5 , -3 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = -x + 2

y = x - 8

On simplifying , we get

-x + 2 = x - 8

Adding x on both sides , we get

2x - 8 = 2

Adding 8 on both sides , we get

2x = 10

Divide by 2 on both sides , we get

x = 5

So , the value of x = 5 and y = -3

Hence , the solution is the point of intersection of lines on the graph which is P ( 5 , -3 )

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Answer:

I think the second one!

Step-by-step explanation:

Answer:

e=2

Step-by-step explanation:

14e-7-3=6+6e

14e-10=6+6e

14e-6e=6+10

8e=16

e=2

Therefore , the solution of the given problem of triangle comes out to be angle x has a magnitude of 101°.

A triangle is a polygon since it possesses two or so additional components beyond that. It is plainly rectangular in form. A and B are the only two of either a triangle's three edges that can distinguish it from a typical triangle. When bounds are still not precisely collinear, Euclidean geometry yields a single region rather than a cube. Three edges and three angles are what make a triangle.

Here,

Because a triangle's angles sum up to 180 degrees, we can determine the size of angle x by deducting the other two angles from 180 degrees:

=> x = 180° - 35° - 44°

=> x = 101°

As a result, angle x has a magnitude of 101°.

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Answer:

Below

Step-by-step explanation:

100 * 170/200

= 170/2

= 85%.

In linear equation, 4  is the maximum whole number of gigabytes of data he can use while staying within his budget.

What are a definition and an example of a linear equation?

Let the number of gigabyte so f data she can use while staying within her budget then,

we can write the cost equation as following

 4x + 66.50 ) ≤ 85

   85 - 66.50 ≤ 4x

   18.5 ≤ 4x

   x ≤ 18.5/4

   x ≤ 4. 625

   Xmax =  4

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The equation of the quadratic function is OB. y=x²-2x+1.
To determine which equation matches the given quadratic function, let's compare each option with the function:

Given function: y = -x² + 2x - 1

Option A: y = -x² + 2x - 1
Comparing this with the given function, we can see that they are identical.

Option B: y = x² - 2x + 1
This does not match the given function since the coefficient of x² is positive here, but it is negative in the given function.

Option C: y = x² + 9x - 18
This does not match the given function since the coefficients of both x² and x are different.

Option D: y = x² - 9x + 18
This does not match the given function since the coefficient of x² is positive here, but it is negative in the given function.

Based on the comparison, the correct answer is:

Option A: y = -x² + 2x - 1

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Answer:

undefined

Step-by-step explanation:

Since the x value is the same, it looks like the slope is undefined.

Answer:  The slope is undefined

Step-by-step explanation:

Find the difference in the y coordinates and divide it by the difference in the x coordinates

y coordinates : 5 - 8 = -3  

x coordinates: -10 -(-10) = 0  

slope:  -3/0 = 0  

The height of the trapezoidal glass window is \(3\frac{1}{2}\) inches.

What is a trapezoid?

A trapezoid is a four-sided flat shape with straight sides that has two parallel sides.

We can use the formula for the area of a trapezoid to solve for the height of the window:

Area = (base1 + base2) / 2 * height

Substituting the given values, we get:

\(12\frac{1}{4} = (4 \frac{1}{2} + 2 \frac{1}{2} )\) * height

First, let's simplify the bases:

\(12\frac{1}{4}\) = 7 / 2 * height

Now we can solve for the height by dividing both sides by 7/2:

height = 2 * \(12\frac{1}{4}\) / 7

height = 2 * 49 / 28

height = 98 / 28

height = \(3\frac{1}{2}\) inches

Therefore, the height of the trapezoidal glass window is \(3\frac{1}{2}\) inches.

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If \(2^{X}=3^{Y}=6^{Z}\) then \(\frac{1}{X}+\frac{1}{Y}\) is equal to \(\frac{1}{Z}\)

What is an exponent?

⇒An exponent refers to the number of times a number is multiplied by itself.

Multiplication of exponents

⇒ It is also known as the law on indices. For multiplication with the same base, we add the powers.

For the same base  \(a^{m} \times a^{n}=a^{m+n}\)

For the different base and same power  \(a^{m} \times b^{m} = (a\times b)^{m}\)

Calculation:

⇒ We have been given that \(2^{X}=3^{Y}=6^{Z}\) and by this relation, we have to prove that: \(\frac{1}{X}+\frac{1}{Y}\)= \(\frac{1}{Y}\)

⇒ \(2^{X}=3^{Y}=6^{Z}\)

\(2^{X}=6^{Z}\)

\((2)^{X}=(2 \times3)^{Z}\)

\(2^{X}=3^{Z}\times 2^{Z}\)

By taking power of Y both sides

⇒ \((2^{X})^{Y} =(2^{Z})^{Y} \times(3^{Z})^{Y}\)

\((2^{X})^{Y} =(2^{Z})^{Y} \times(3^{Y})^{Z}\)

\((2^{X})^{Y} =(2^{Z})^{Y} \times(2^{X})^{Z}\)

\(2^{XY} =2^Z^Y \times2^X^Z\)

XY=ZY+XZ

On dividing by 1/XYZ into both sides we will get

⇒ \(\frac{1}{Z}=\frac{1}{X}+\frac{1}{Y}\)

Hence, it is now proved that if \(2^{X}=3^{Y}=6^{Z}\) then\(\frac{1}{X}+\frac{1}{Y}\) is equal to \(\frac{1}{Z}\)

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C

The mistake the arrangers made is in the second inequality. They considered the number of caps to be bought should be at least 5 times greater than the number of blouses, not the other way around. The correct inequality should be C

The correct answer is D) The first inequality should be s + h ≤ 1800.

The organizers made an error in the first inequality. The given inequality 10s + 8h ≤ 1800 represents the total cost of buying shirts (10s) and hats (8h) should be less than or equal to $1800. However, this does not take into account the fact that the organizers want to buy at least 5 times as many shirts as hats, as indicated by the second inequality h ≥ 5s.

The correct way to represent this constraint is by using the equation s + h ≤ 1800, which ensures that the total number of shirts and hats purchased does not exceed $1800 in cost. This is because the organizers want to make sure that the total cost of shirts and hats combined does not exceed the budget of $1800.

Answer:

2 3/5

Step-by-step explanation:

1/5÷1/3

and solve

1×3

5/1

=3/5

Therefore:

1/5÷1/3=3/5

Answer:

x=6

Step-by-step explanation:

-2x+15=7

-2x=7-15

-2x=-8

x=-8/-2

x=6

Answer:

-2x+15=7

-15 -15

-2x = -8

_ _

-2 -2

answer is x=4

Answer:

6250

Step-by-step explanation:

Hope the answer is correct.

Answer:Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = = 3. Thus, the equation describing this direct variation is y = 3x.

Step-by-step explanation:The constant of variation means the relationship between variables does not change. When we want to identify the constant of variation for an equation, it is helpful to refer to one of the following formulas: xy = k (inverse variation) or y/x = k (direct variation), where k is the constant of variation.