20 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!

pls convert each one

convert into scientific notation
12,300,000
0.000123
12.300
1,230,000
0.00123

Answer:

Step-by-step explanation:

From the question, we are informed that Michael and Tyler both ran a half marathon and that Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 97 minutes and 49 seconds.

First, we should know that 60 minutes makes 1 hour, therefore we need to change Tyler's time taken to finish the marathon appropriately. Since Tyler finished in 97 minutes and 49 seconds, this will be converted to 97 minutes equals 1 hour 37 minutes. Therefore, Tyler used 1 hour, 37 minutes and 49 seconds.

Since Michael finished in 1 hour, 42 minutes and 13 seconds while Tyler finished in 1 hour, 37 minutes and 49 seconds. We can see that Tyler is faster than Michael.

To know how much faster Tyler was, we subtract Tyler's time from Michael's. This will be:

= (1 hour, 42 minutes 13 seconds) - (1 hour, 37 minutes, 49 seconds)

= 4 minutes, 24 seconds.

Tyler was faster by 4 minutes, 24 seconds.

The limit of the ratio test for the series ∑[infinity] to n=1 10^n÷n! is infinity (∞).

The ratio test is used to determine the convergence or divergence of a series. It involves taking the limit of the absolute value of ratio of consecutive terms. If the limit is less than 1, the series converges. If the limit is greater than 1 or infinity (∞), the series diverges. If the limit is exactly 1, the test will be inconclusive.

In this case, we have f(n) = ∣(10^n+1)÷(10^n)∣ = ∣10∣ = 10. The limit of f(n) as n approaches infinity is 10.

Since the limit of f(n) is greater than 1, the series fails the ratio test. This means that the series ∑[infinity] to n=1 10^n÷n! diverges. The ratio test suggests that the series does not have a finite sum and continues indefinitely.

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Answer:

64 km/hr

Step-by-step explanation:

The number of freshmen that are students is 738

Let y represent the number of students that are freshmen

The freshmen class is made up of 480 female students

This number represents 65% of the freshmen class

Therefore the total number of students that are freshmen can be calculated as follows

y × 65/100= 480

65y/100= 480

Cross multiply both sides

65y= 480 × 100

65y= 48000

y= 48000/65

y= 738.4

≅ 738

Hence 738 students are freshmen

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We have proved that the West Texas Triangle formed is an isosceles triangle.

The approximate coordinates of three locations is given.

We have to prove that the West Texas Triangle is an isosceles triangle.

What is a triangle ?

A triangle is a 3-sided shape. There are three sides and three angles in every triangle, some of which may be the same.

As per the question ;

The West Texas Triangle is an isosceles triangle.

1st location has coordinates (31.9°N , 102.3°W)

2nd location has coordinates (32.7°N , 99.3°W)

3rd location has coordinates (31.4°N , 100.5°W)

Let's represent 1st location as A , 2nd location as B and 3rd as C.

Let's check it.

Using the distance formula ;

AB = √ [ (32.7 - 31.9) ² + (102.3 - 99.3)²]

AB = √ (0.8² + 3²)

AB = √9.64

AB = 3.10

Similarly ;

BC = √ (1.3² + 1.2²)

BC = √3.13

BC = 1.8

And

AC = √(0.5² + 1.8²)

AC = 1.8

The two sides are of equal length , so , we can conclude that this is an isosceles triangle.

Thus , the West Texas Triangle formed is an isosceles triangle.

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Answer:

\(\frac{27y^6}{8x^{12}}\)

Step-by-step explanation:

1) Use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3x^{-5+2}{y^3}}{2z^0yx}) ^3\)

2) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3\times\frac{1}{x^3} y^3}{2x^0yx} )^3\)

3) Use Rule of Zero: \(x^0=1\).

\((\frac{\frac{3y^3}{x^3} }{2\times1\times yx} )^3\)

4) use Product Rule: \(x^ax^b=x^{a+b}\).

\((\frac{3y^3}{2x^{3+1}y} )^3\)

5) Use Quotient Rule: \(\frac{x^a}{x^b} =x^{a-b}\).

\((\frac{3y^{3-1}x^{-4}}{2} )^3\)

6) Use Negative Power Rule: \(x^{-a}=\frac{1}{x^a}\).

\((\frac{3y^2\times\frac{1}{x^4} }{2} )^3\)

7) Use Division Distributive Property: \((\frac{x}{y} )^a=\frac{x^a}{y^a}\).

\(\frac{(3y^2)^3}{2x^4}\)

8) Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{(3^3(y^2)^3}{(2x^4)^3}\)

9) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{(2x^4)^3}\)

10)  Use Multiplication Distributive Property:  \((xy)^a=x^ay^a\).

\(\frac{26y^6}{(2^3)(x^4)^3}\)

11) Use Power Rule: \((x^a)^b=x^{ab}\).

\(\frac{27y^6}{8x^12}\)

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Answer:

\(\displaystyle \frac{27y^{6}}{8x^{12}}\)

Step-by-step explanation:

\(\displaystyle \biggr(\frac{3x^{-5}y^3x^2}{2z^0yx}\biggr)^3\\\\=\biggr(\frac{3x^{-5}y^2x}{2}\biggr)^3\\\\=\frac{(3x^{-5}y^2x)^3}{2^3}\\\\=\frac{3^3x^{-5*3}y^{2*3}x^3}{8}\\\\=\frac{27x^{-15}y^{6}x^3}{8}\\\\=\frac{27y^{6}x^3}{8x^{15}}\\\\=\frac{27y^{6}}{8x^{12}}\)

Notes:

1) Make sure when raising a variable with an exponent to an exponent that the exponents get multiplied

2) Variables with negative exponents in the numerator become positive and go in the denominator (like with \(x^{-15}\))

3) When raising a fraction to an exponent, it applies to BOTH the numerator and denominator

Hope this helped!

Answer:

The y-intercept of line A is 6 and the y-intercept of line B is 6. Basically y-intercept is the y variable and in this case 6 is the y variable (0, 6). This means that line A and line B are the same. Not sure what options you have in the end but they are the same. Hope this helps, thank you :) !!

The following statements can be concluded if ∠ABC and ∠CBD are a linear pair:

B. ∠ABC and ∠CBD are supplementary.

D. ∠ABC and ∠CBD are adjacent angles.

In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two adjacent angles would be equal to 180° when two parallel lines are cut through by a transversal.

According to the linear pair theorem, ∠ABC and ∠CBD are supplementary angles because BDC forms a line segment. Therefore, we have the following:

∠ABC + ∠CBD = 180° (supplementary angles)

m∠ABC ≅ m∠CBD (adjacent angles)

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The equation is represented as follows:

p^2 + 2pq + q^2 = 1

The Hardy-Weinberg equation is a mathematical formula used in genetics to predict the frequency of genetic traits in a population. The equation is named after the scientists G. H. Hardy and W. Weinberg, who independently developed it in 1908 and 1909, respectively.

The equation states that the frequency of a genetic trait in a population will remain constant over time as long as certain conditions are met. These conditions are:

No mutations occur in the gene responsible for the trait

There is no natural selection for or against the trait

There is random mating within the population

The population size is large

The Hardy-Weinberg equation can be used to calculate the frequency of the dominant and recessive alleles (versions of a gene) in a population, and the probability of different genotypes (the combination of alleles an individual has) and phenotypes (the physical expression of the trait) within that population.

Where p is the frequency of the dominant allele, q is the frequency of the recessive allele, and p^2 represents the proportion of homozygous dominant individuals, 2pq represents the proportion of heterozygous individuals and q^2 represents the proportion of homozygous recessive individuals.

The Hardy-Weinberg equation is a useful tool for understanding how genetic traits are inherited and how they change over time. It is widely used in population genetics, evolutionary biology and medical genetics.

It is also important to notice that the Hardy-Weinberg equilibrium is a theoretical concept that is rarely met in real populations due to the existence of genetic drift, migration, mutation, nonrandom mating and natural selection.

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Representative fraction is a form of scale that can be used to change the size of an object to form an image. The required length is 32 inches.

A scale is a fraction of numbers that can be used to either increase or decrease the size of a given object. It is majorly referred to as representative fraction in scale drawing.

Representative fraction = \(\frac{length on drawing}{original length}\)

In the given question, we have;

12 inches = 1 feet

x inches = 30 feet

So that:

x = 30 x 12 inches

  = 360 inches

representative fraction = \(\frac{2 inches}{360 inches}\)

                             = 5.56 x \(10^{-3}\)

Thus, given that the length of the Alamo Mission is 480 feet long. Then:

480 feet = 480 x 12 inches

              = 5760 inches

So that,

the required length in inches = 5760 x 5.56 x \(10^{-3}\)

                                             = 32 inches

Therefore the expected length of the Alamo Mission is 32 inches.

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Answer: $1.06

Step-by-step explanation:  424x0.25=106 so that your answer.

The answer is B. anticipatory socialization. Aman's anticipation and excitement about his new role as a computer scientist indicate his engagement in anticipatory socialization.

Anticipatory socialization refers to the process through which individuals learn and internalize the values, norms, and behaviors associated with a future role or status they aspire to have. In this case, Aman's graduation from college and his upcoming job as a computer scientist represent a transition to a new role.

As he looks forward to this new position, he is likely engaging in activities such as researching the company, learning about the responsibilities of a computer scientist, and acquiring the necessary skills to excel in his job. By doing so, Aman is preparing himself and adjusting his attitudes and behaviors to fit the expectations of his future role, which characterizes anticipatory socialization.

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The complete question is:

Aman is graduating from college and looking forward to his new role in his job as a computer scientist for a large firm. This is an example of

A.the imagination stage

B.anticipatory socialization.

C.the game stage.

D.looking-glass self

Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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Answer:

234

Step-by-step explanation:

Answer:

234

Step-by-step explanation:

Use LONG division

Answer:

  x = 3

Step-by-step explanation:

You want the equation of the line through points (3, -3) and (3, -6).

The two points have the same x-value, indicating the line through them is a vertical line. That will have an equation of the form x = c.

The x-value of the given points is 3, so the equation is ...

  x = 3

__

Additional comment

We note that the answer box is pre-filled with "y =". There is no "y =" equation that will go through these points. The slope is undefined, so the slope-intercept form of the equation cannot be used.

Answer:

Step-by-step explanation:

Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of completing a level worth 24,500 points, earning a bonus of 3,610 points, and then incurring a penalty of 6,780 points.

Let's describe a sequence of events that might have led to Leila earning a score of 3 x (24,500 + 3,610) - 6,780.

Leila starts the game with a base score of 0.

She completes a challenging level that rewards her with 24,500 points.

Encouraged by her success, Leila proceeds to achieve a bonus by collecting special items or reaching a hidden area, which grants her an additional 3,610 points.

At this point, Leila's total score becomes (0 + 24,500 + 3,610) = 28,110 points.

However, the game also incorporates penalties for mistakes or time limitations.

Leila makes some errors or runs out of time, resulting in a deduction of 6,780 points from her current score.

The deduction is applied to her previous total, giving her a final score of (28,110 - 6,780) = 21,330 points.

In summary, Leila's score of 3 x (24,500 + 3,610) - 6,780 could be the result of her initial achievements, followed by some setbacks or penalties that affected her final score.

The specific actions and events leading to this score may vary depending on the gameplay mechanics and rules of the game.

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Answer:

-41

Step-by-step explanation:

Answer:

Step-by-step explanation:

Oohh yeah

Answer:

944 cm²

Step-by-step explanation:

get the area of each side: 12*10+10*16+12*16= 472

2 sets of each side: 944

Answer:

The equation of the line is:

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given

now substituting b = -12 and m = 3/2 in the slope-intercept form of line equation

\(y = mx+b\)

\(y\:=\:\frac{3}{2}x\:+\:\left(-12\right)\)

\(y\:=\:\frac{3}{2}x\:-12\)

Therefore, the equation of the line is:

Answer:

the equation is y= 3x - 1

Step-by-step explanation:

to find the intersection with x just substitute 0 to Y.

0=3x-1

3x=1

x=1/3

The value of x-intercept of the graph whose equation is y + 1 = x³ is,

⇒ 1

We have to given that;

The equation is,

⇒ y + 1 = x³

Now, For x - intercepts;

Put y = 0 in above equation,

⇒ y + 1 = x³

⇒ 0 + 1 = x³

⇒ 1 = x³

⇒ x = ∛1

⇒ x = 1

Thus, The value of x-intercept of the graph whose equation is y + 1 = x³ is,

⇒ 1

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The halfway or the midpoint between Lin's home and the library is given by the coordinates M ( 2 , 4 ).

Given data ,

Let A ( x₁ , y₁ ) be the first point

Let B ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

A ( -1 , 6 ) and B ( 5 , 2 )

a = ( -1 + 5 )/2

b = ( 6 + 2 ) / 2

So , the midpoint is represented by

a = 4/2 = 2

b = 8/2 = 4

The midpoint between Lin's home and the library is M ( 2 , 4 )

Hence , the halfway between Lin's home and the library is given by the coordinates M ( 2 , 4 ).

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It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

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The graph will cross the x-axis if the multiplicity of the real root is odd.

What is polynomial?

In arithmetic, a polynomial is an expression consisting of indeterminates and coefficients, that involves solely the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

Main body:

For polynomials, the graph will cross the x-axis if the multiplicity of the real root is odd, and just touch the x-axis if the multiplicity of the real root is even. (The multiplicity of the root is the number of times it occurs as a root)

(a) y=(x+1)^2(x-2) The graph crosses at x=2 (multiplicity 1) but touches at x=-1 (mulitplicity 2)

(b) y=(x-4)^3(x-1)^2 The graph crosses at x=4 (multiplicity 3) but touches at x=1 (m=2)

(c) y=(x-3)^2(x+4)^4 The graph touches at x=3 and x=-4 as the multiplicities are both even.

The graphs: (a) black, (b) red, (c) green

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Answer:

C. Infinite Solutions

Step-by-step explanation:

In order to solve this we fist have to simplify the equation so we do the following:

\(\frac{1}{7}(63n -77) = -11 + 9n\\\\(\frac{1}{7})(7)(63n - 77) = (7)(-11 + 9n) \\\\63n - 77 = -77 + 63n\\63n - 77 = 63n - 77\)

From here we know that any value of n is the solution of this equation so the answer is option C.

Answer: the equivalent number ratio is 40:24 and 5:3 ???

Step-by-step explanation:

Divide 24 by 3 to get 8 then do 5 times 8 to get 40 to prove your answer witch I have you can simply the ratio

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