How do you write 2.8 × 10^5 in standard form?

Answer:

0.6

Step-by-step explanation:

\(\sqrt{0.36}=\sqrt{\frac{36}{100}}=\frac{6}{10}=0.6\)

Answer:

Hey!

\(\sqrt{0.36}\) is otherwise written as 0.6!

Other ways... \(\sqrt{\frac{36}{100} }\) = \(\frac{6}{10}\) = 0.6

Step-by-step explanation:

There's a way without using a calculator...

IGNORE the 0. and just do \(\sqrt{36}\) = 6 THEN add on the 0.

OR to be safe just use the calculator!!

I HOPE THIS HELPS!!

Answer:

around 67 years

Step-by-step explanation:

hope this helps :)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Choice D is correct

Every point on circle is equidistant from the point at its centre and that fixed distance = radius of that circle.

Answer: D

Step-by-step explanation:

1 in.=1488 milesx5=7440 miles.

Area= pi x r^2

=pi x (7440)^2 or option D.

Hope this helps :)

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

Is 03.841

Step-by-step explanation:

To find the critical value needed to test the claim that the sentence is independent of the plea, we need to perform a chi-square test of independence. The critical value is based on the significance level (α) and the degrees of freedom.

In this case, the given significance level is 0.05. Since the table represents a 2x2 contingency table (two categories for plea and two categories for sentence), the degrees of freedom (df) can be calculated as (number of rows - 1) * (number of columns - 1) = (2 - 1) * (2 - 1) = 1.

To find the critical value at a significance level of 0.05 with 1 degree of freedom, we consult a chi-square distribution table or use statistical software.

The critical value for a chi-square test with 1 degree of freedom and a significance level of 0.05 is approximately 3.841.

Therefore, the correct answer is 03.841.

Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements

Answer:

D) none of the above

Step-by-step explanation:

16+20+30+30=96

96/4 =24

This illustrates the rule of large numbers, according to which the sample mean approaches the population mean as the sample size rises.

The likelihood or chance of an occurrence occurring is measured by probability. It is expressed as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty of the occurrence. Additionally, probabilities can be stated as percentages, with 0% denoting an improbable event and 100% denoting a specific event. By dividing the number of favourable outcomes by the total number of potential outcomes, the probability of an occurrence is determined.

given

Since there are six potential outcomes and only one of them is a 5, the theoretical probability of rolling a 5 on a fair die is 1/6.

Mya's experimental chance of rolling a 5 after 100 trials is 25/100, which can be expressed as 1/4. Her experimental probability after 200 attempts is 30/200, which can be expressed as 3/20.

This implies that the experimental probability moves closer to the theoretical probability as the number of trials rises.

In other words, Mya's experimental findings get closer to the anticipated theoretical probability the more times she rolls the die.

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The complete question is :-   Communicate and Justify Mya rolls a fair die and counts the number of times she rolls a 5. She rolls a 5 on 25 of the first 100 trials. She rolls a 5 on 30 of the first 200 trials. Compare the experimental probability to the theoretical probability after 100 trials and 200 trials. What do you notice? Explain.

The answer is:

↬ f(x + 2) = 2x + 11

Work/explanation:

To evaluate the function, plug in x + 2 for x:

\(\boxed{\large\begin{gathered}\sf{f(x)=2x+7}\\\\\bf{distribute}\\sf{f(x+2)=2(x+2)+7}\\\\\bf{simplify}\\\sf{f(x+2)=2x+4+7}\\\\\sf{f(x+2)=2x+11}\end{gathered}}\)

Answer:

Step-by-step explanation:

b = 10

Substitute b in every equation below and compare the results

A. 2(b + 4) = 16

B.  2(b + 2) = 40

C. 3(b - 2) = 24

D. 2(8 + b) = 42

E. 3(b - 4) = 20

Answer:

C. 3(b - 2) = 24..

Answer: u=7

Given:

- Distribute 3(u-3):

- Combine like terms:

- Divide both sides by -3:

Therefore, u=7.

The profit function given the cost function as 45x + 300 and revenue function as 85x - 0.5x² is - 0.5x² + 40x + 300

Profit = Revenue - Cost

= 85x - 0.5x² - 45x + 300

= - 0.5x² + 85x - 45x + 300

= - 0.5x² + 40x + 300

Therefore, the profit function is - 0.5x² + 40x + 300

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Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer:

Length (L) = 72 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Period (T) = 9.42 s

Pi (π) = 3.14

Length (L) =?

The length of the pendulum can be obtained as follow:

T = 2π √(L/32)

9.42 = (2 × 3.14) √(L/32)

9.42 = 6.28 √(L/32)

Divide both side by 6.28

√(L/32) = 9.42 / 6.28

Take the square of both side

L/32 = (9.42 / 6.28)²

Cross multiply

L = 32 × (9.42 / 6.28)²

L = 72 feet

Thus, the Lenght is 72 feet

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

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Answer:

Step-by-step explanation:

There are two restrictions on x:  First, x must be less than -4; second, x must be greater than 5.  Both of these inequalities have an infinite number of solutions, so overall this set of restrictions has an infinite number of solutions.

Answer:

wed need to see an attatchment of the dot displays to give you an answer friend

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

In order to create equilibrium, add a comma after a conjunction. We drove to the beach but turned around since there was no more space in the parking lot. The placement of a comma after a conjunction as opposed to before is one of the most frequent mistakes with commas: Nancy always found time despite having a busy schedule to visit the gym.

explanation :

If any of these seven coordinating conjunctions—and, but, for, or, nor, so, yet—are used to unite independent sentences, you should use commas to separate them.

Place commas after the preceding opening (a) sentences, (b) phrases, or (c) words.

"After first" will be the one comma that is lacking in this sentence. Imani and Jack, the two best runners, came in first and second, so that is the perfect phrase.

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Answer:

B)  (-6,5)

Step-by-step explanation:

Quadrant I:  (+,+)

Quadrant II: (-,+)

Quadrant III: (-,-)

Quadrant IV: (+,-)

Considering the given proportion, the value of \(\frac{a}{a - b}\) is:

C) 2

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The proportion between a and b is given by:

a/b = 2.

Then:

a = 2b.

The expression is:

\(\frac{a}{a - b} = \frac{2b}{2b - b} = \frac{2b}{b} = 2\)

Hence option C is correct.

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True. Summarizing allows you to focus on the important information by finding the introduction, topic sentence and conclusion.

Summarizing is a technique that helps to distill the main points of a text by identifying the introduction, topic sentence, and conclusion. It involves condensing the information to focus on the most important aspects and omitting unnecessary details.

This process enables the reader to grasp the core message of the text quickly and efficiently.

By summarizing, one can communicate the key ideas in a concise and clear manner, making it easier for others to understand and engage with the information presented.

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The duration during which the height of the ball is increasing is from 1 second to 2.4 seconds.

To determine the duration during which the height of the ball is increasing, we need to analyze the given data points.

At 0.5 seconds, the height is 27 units.

At 1 second, the height is 31 units.

At 2.4 seconds, the height is 2 units.

We can observe that the height is decreasing between 0.5 seconds and 1 second because the height decreases from 27 to 31. This indicates that the ball is descending during that time interval.

However, between 1 second and 2.4 seconds, the height is increasing because the height goes from 31 to 2 units. This implies that the ball is ascending during that time interval.

Therefore, the duration during which the height of the ball is increasing is from 1 second to 2.4 seconds.

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Step-by-step explanation:

hope you have a great day

The value of x will be;

⇒ x = 13.9

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now,

Since, We know that;

The sine rule is;

⇒ sin A / a = sin B / b = sin C / c

By given figure, we get;

⇒ sin 83°  / x = sin 68° / 13

⇒ sin 83° × 13 / sin 68° = x

⇒ x = 0.99 × 13 / 0.92

⇒ x = 13.9

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On the second computer, the size of the issue instance that can be solved in 5 minutes is √(48400) = 220.

Assuming n as the problem instance size:

For O(n) complexity, the size of the problem instance that can be solved in 5 minutes on a computer 16 times faster than the first one would be:

5 * 16 = 80 minutes for the first computer to solve instance size n

80 / 5 = 16 is the factor by which the second computer is faster

220¹⁶ = 2240 is the size of the problem instance that can be solved in 5 minutes on the second computer.

For O(log₂n) complexity, we can use the formula 5 * 2¹⁶ = 327680 minutes as the time taken for the first computer to solve the problem instance of size 2²⁰.

327680 / 5 = 65536 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is 2²⁰ / 65536 = 32.

For O(2ⁿ) complexity, we can solve for n using the formula 5 * 2²⁰ = 5242880 minutes as the time taken for the first computer to solve the problem instance of size 2²⁰.

5242880 / 5 = 1048576 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is log₂(1048576) = 20.

For O(n²) complexity, we can use the formula 5 * 220² = 242000 minutes as the time taken for the first computer to solve the problem instance of size 220.

242000 / 5 = 48400 is the factor by which the second computer is faster.

Therefore, the size of the problem instance that can be solved in 5 minutes on the second computer is √(48400) = 220.

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