4000+600+7 standard form

Work Shown:

A = pi*r^2

A = 3.14 * 10^2

A = 3.14 * 100

A = 314 square inches

This value is approximate since pi = 3.14 is approximate.

The area of the circle is :

Work:

To calculate the circle's area, I will use the formula

\(\sf{C=\pi r^2}\)

Diagram:

\(\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 10\ inches}\end{picture}\)

Plug in the values :

      \(\begin{gathered}\sf{A=3.14\times10^2}\\\\\sf{A=3.14\times100}\\\\\boxed{\boxed{\bf{A=314\:in^2}}}\end{gathered}\)

The gas used by Abby while travelling in her pizza delivery route is 1/4.

As per the given question here we have to implement the basic principles of subtraction along with application of LCM.

The total amount of gas that Abby had in her car = 11/12

After coming to pizzeria the amount of gas left in her tank = 3/4

Here, we have to perform Subtraction to find out the amount of gas used for travelling. Therefore,

= 11/12 - 3/4

performing the LCM, we get

= 11 - 9/12

= 3/12 => 1/4

The gas used by Abby while travelling in her pizza delivery route is 1/4.

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Recall that the interior angles of a triangle add up to 180 degrees, then:

Now, recall that a right angle measures 90 degrees.

Then we can set the following equation:

Adding like terms we get:

Subtracting 105 degrees from the above equation we get:

Answer:

Answer:

52

Step-by-step explanation:

i just looked up 65% of 80

Answer:

26.83

Step-by-step explanation:

H=1.2L + 27.8

60=1.2x+27.8

minus 27.8 from both sides

32.2=1.2x

divide both sides by 1.2

x=26.83

Answer:

11/20

Step-by-step explanation:

To be able to find the fraction of the cake that Jake ate if you know that he ate 55% of it, you have to turn the 55% into a fraction. To do this, first you have to divide the percent by 100:

55/100

Then, you have to simplify the fraction. In this case, you can do it by dividing by 5:

11/20

According to this, the fraction of the cake that Jake ate is 11/20.

Hey there! :)

Answer:

g(x) = (x + 9)²

Step-by-step explanation:

If we look at the graph g(x), we can see that its vertex is at (-9, 0).

Recall the transformation form of a parabola is f(x) = ±a(b(x-h))+k where (h , k) are the coordinates of the vertex. In this instance it is (-9, 0), therefore:

g(x) = (x + 9)²

Answer:

Option C 5a+(2b + 3c)

Answer:

B

Step-by-step explanation:

In this case, we use variables to represent the the cost of the big and the smaller boxes. Let x be the selling price of the big boxes while y be the selling price of the bigger boxes.

The total selling price of the smaller boxes is 20x. The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300

Hence in equation form, all the information above can be represented as:

20x + 12y = 1,300

Answer:

what is the question??

Answer:

12 and 4

Step-by-step explanation:

We could set up two equations with the given information.

Let a be the larger number, and b be the smaller number.

4b - 4 = a (Four subtracted from four times the smaller is equal to the larger number.)

2a = 6b (Twice the larger number equals six times the smaller number.)

With the 1st equation, we could substitute a = 4b - 4 into the second equation.

We get

2(4b-4) = 6b

8b - 8 = 6b

2b = 8

b = 4

Substituting back into the first equation,

a = 4(4) - 4 = 12

Therefore the two numbers are 12 and 4.

the answer is four and twelve

Answer:

6/7

Step-by-step explanation:

We want the numerical ratio

   green apple trees          18

  ------------------------------ = --------    which reduces to 6/7 (answer)

     red apple trees             21

The percentage of races in will his finishing time is between 64.5 and 65.5 seconds is 68%.

According to the empirical rule, also known as the 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95%, and 99.7% the values lies within one, two, or three standard deviations of the mean of the distribution.

\(\rm P(\mu - \sigma \ \ < X < \mu + \sigma) \ \approx 68\%\\\\P(\mu - 2\sigma < X < \mu + 2\sigma) \approx 95\%\\\\P(\mu - 3\sigma < X < \mu + 3\sigma) \approx 99.7\%\)

where we had were mean of the distribution of X is μ and the standard deviation from the mean of the distribution of X is σ (assuming X is normally distributed).

When Kiran runs the 400 meters dash, his finishing times are normally distributed with a mean of 65 seconds and a standard deviation of 0.5 seconds.

Then by the formula, we have

\(\rm P (65-0.5 < X < 65+0.5) = P(64.5 < X < 65.5) \approx 68\%\)

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Answer:

10y + 16

Step-by-step explanation:

Given

2y + 9 + 8y + 7 ← collect like terms

= (2y + 8y) + (9 + 7)

= 10y + 16

The probability of being dealt a flush is 0.038, or 3.8%.

This is calculated by taking the number of possible flushes (5,108), dividing it by the total number of possible poker hands (2,598,960), and then multiplying by 100 to get a percentage.

To calculate this, you first need to know how many possible flushes there are. There are 4 suits in a standard 52 card deck, so there are

4x4x4x4x4 = 1,024 possible flushes.

However, since a flush can consist of 5 cards of the same rank, you need to multiply this by the number of possible ranks, which is 13. This gives you 1,024 x 13 = 13,312 possible flushes.

Now, to calculate the probability, you need to divide the number of possible flushes by the total number of possible poker hands. Since there are 52 cards in the deck, and you have 5 cards in a poker hand, the total number of possible poker hands is:

52x51x50x49x48 / (5x4x3x2x1) = 2,598,960.

Therefore, the probability of being dealt a flush is 13,312 / 2,598,960 = 0.038, or 3.8%.

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Answer:

A triangle without any congruent sides or angles is called a scalene triangle. When two triangles are congruent it means that they have the same size and shape.

Step-by-step explanation:

A triangle having no side congruent is called​ is called Scalene triangle.

We have a triangle having no side congruent.

We have to identify the name of this triangle.

A triangle is a plane figure with three straight sides and three angles.

According to question, we have -

A triangle with no side congruent. If all the three sides of a triangle are of same length then it is called congruent triangle. It is also called Equilateral triangle. Similarly, a triangle with none of its sides equal or congruent is called a Scalene triangle.

Hence, a triangle having no side congruent is called​ is called Scalene triangle.

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To draw a normal curve for the distribution of sunflower heights, first draw a horizontal line across the center of your paper to represent the mean height of 64 inches. Then, draw a bell-shaped curve above and below the line to represent the distribution of heights. The curve should be symmetrical around the mean.

To label the horizontal axis, start by marking the mean at 64 inches. Then, use the standard deviation of 3.5 inches to mark the points that are one, two, and three standard deviations from the mean. This means that the first point will be at 64 - 3.5 = 60.5 inches, the second point will be at 64 - 3.52 = 57 inches, and the third point will be at 64 - 3.53 = 53.5 inches.

To determine the number of sunflowers that will be taller than 71 inches, we can use the normal distribution to calculate the probability that a sunflower will be taller than 71 inches. Because the distribution is symmetrical around the mean, this probability will be the same as the probability that a sunflower will be shorter than 71 inches. We can then multiply this probability by the total number of sunflowers in the field to get the approximate number of sunflowers that will be taller than 71 inches.

To calculate the probability that a sunflower will be shorter than 71 inches, we need to know the z-score corresponding to 71 inches. The z-score is the number of standard deviations that a given value is from the mean. To calculate the z-score, we can use the formula z = (x - mean)/standard deviation, where x is the value we are interested in (71 inches), mean is the mean of the distribution (64 inches), and standard deviation is the standard deviation of the distribution (3.5 inches). Plugging these values into the formula, we get z = (71 - 64)/3.5 = 2.

We can use this z-score to look up the probability of a value being shorter than 71 inches in a standard normal table. A standard normal table is a table that shows the probabilities for different values of the standard normal distribution, which is a normal distribution with a mean of 0 and a standard deviation of 1. Because our distribution has a different mean and standard deviation, we need to convert our z-score to a standard normal value using the formula z_std = (z - mean)/standard deviation. Plugging in the values from our distribution, we get z_std = (2 - 64)/3.5 = -18.3. Looking up this value in a standard normal table, we find that the probability of a value being shorter than -18.3 is 0.00003.

We can use this probability to approximate the number of sunflowers that will be taller than 71 inches by multiplying the probability by the total number of sunflowers in the field. In this case, we have approximately 0.00003 * 3000 = 0.9 sunflowers that will be taller than 71 inches. This is a very small number, so it is likely that there will be no sunflowers in the field that are taller than 71 inches.

Answer:

\(\huge\boxed{\tt{ No.}}\)

Step-by-step explanation:

DVD player = $ 49.95

DVD Holder = $ 19.95

Personal Stereo = $ 21.95

Sum of Prices = $ 49.95 + $ 19.95 + $ 21.95 = $ 91.85

Ellan has $ 90 which is less than $ 91.85 which means that Ellan does not have enough to buy all three items.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

it is complementary angles.

hope it helps

Answer:

The angles are complementary angles.

The equation that has no real solution is 12x + 12 = 3(4x + 5), the correct option is (d).

To determine whether an equation has real solutions, we need to solve it and check whether the solutions are real numbers or not.

-5x - 25 - 5x + 25 = 0 simplifies to -10x = 0, which has the solution x = 0. This is a real number solution.

7x + 21 = 21 simplifies to 7x = 0, which has the solution x = 0. This is a real number solution.

12x + 15 = 12x - 15 simplifies to 15 = -15, which is false. This equation has no solution, but it doesn't have any variables left to solve for, so it's not an option for our answer.

12x + 12 = 3(4x + 5) simplifies to 12x + 12 = 12x + 15, which simplifies further to 12 = 15. This is false, which means the equation has no solutions. Therefore, this is the equation that has no real solution, the correct option is (d).

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The complete question is:

Select each equation that has no real solution

a. -5x- 25 - 5x + 25

b. 7x + 21 = 21

c. 12x + 15 = 12x - 15

d. 12x + 12 = 3(4x + 5)

The total would be 25 + (0.06 x 350) = $51. So my friend's charge for last month will be $51.

My friend's charge for last month will be calculated by adding the monthly customer fee of $25 and the minutes spent price of 0.06 for the 350 minutes spent. The total would be 25 + (0.06 x 350) = $51. So my friend's charge for last month will be $51.

Monthly customer fee = $25

Price per minute = $0.06

Total minutes spent = 350

Total cost = $25 + (0.06 x 350)

Total cost = $25 + 21

Total cost = $51

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Answer:

your answer is 11

Step-by-step explanation:

The general solution of the differential equation y''(x) + y(x) = sec(x) tan(x) is y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x); here c₁ and c₂ are constants.

To solve the differential equation y''(x) + y(x) = sec(x) tan(x) using variation of parameters, we first need to find the solutions to the homogeneous equation y''(x) + y(x) = 0.

The auxiliary equation for the homogeneous equation is r² + 1 = 0, which has complex roots r = ±i.

The corresponding solutions to the homogeneous equation are y₁(x) = cos(x) and y₂(x) = sin(x).

Next, we need to find the particular solution using the method of variation of parameters. Let's assume the particular solution has the form y_p(x) = u(x)cos(x) + v(x)sin(x).

Now, we need to find u(x) and v(x) by substituting this form into the original differential equation and solving for u'(x) and v'(x).

Differentiating y_p(x), we get y_p'(x) = u'(x)cos(x) - u(x)sin(x) + v'(x)sin(x) + v(x)cos(x).

Taking the second derivative, y_p''(x) = -u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x).

Substituting these derivatives into the original differential equation, we have:

(-u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x)) + (u(x)cos(x) + v(x)sin(x)) = sec(x)tan(x).

Simplifying, we get:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x).

To find u'(x) and v'(x), we solve the following system of equations:

u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x),

u(x)cos(x) + v(x)sin(x) = 0.

We can solve this system using various methods such as substitution or elimination.

Solving the system, we find:

u'(x) = sin(x)sec(x),

v'(x) = -cos(x)sec(x).

Integrating these expressions, we obtain:

u(x) = -ln|sec(x) + tan(x)| + C₁,

v(x) = -ln|sec(x) + tan(x)| + C₂.

Finally, the particular solution is given by:

y_p(x) = (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

The general solution to the differential equation is the sum of the homogeneous and particular solutions:

y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).

Here, c₁ and c₂ are constants.

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Answer:

24%

Step-by-step explanation:

we subtract to see how much it increased

62-50=12

Now divide 12 by 50 to get percent

12/50

0.24

0.24x100

24%

Hopes this helps please mark brainliest

The fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

Diffusiοn is the prοcess by which particles οf a substance mοve frοm an area οf high cοncentratiοn tο an area οf lοwer cοncentratiοn, resulting in a net mοvement οf particles dοwn their cοncentratiοn gradient.

This οccurs due tο the randοm mοtiοn οf individual particles, which leads tο a tendency fοr particles tο spread οut and becοme evenly distributed οver time.

Answer tο Questiοn 9:

The relatiοnship between average displacement squared (R²) and time (t) is linear.

Answer tο Questiοn 10:

The variable 'R2' in the diffusiοn equatiοn cοrrespοnds tο 'y' in the trendline equatiοn, and the variable 't' in the diffusiοn equatiοn cοrrespοnds tο 'x' in the trendline equatiοn.

Answer tο Questiοn 11:

We can sοlve fοr the diffusiοn cοnstant 'D' in terms οf the slοpe 'm' and a cοnstant 'c' by equating the diffusiοn equatiοn and the trendline equatiοn.

The diffusiοn equatiοn: R2 = 4Dt

The trendline equatiοn: y = mx + b

Substituting the cοrrespοnding variables, we get:

R2 = y, D = cοnstant, t = x, m = slοpe, b = cοnstant

Sο, we have:

R2 = 4Dt

y = mx + b

Equating the twο equatiοns, we get:

y = 4Dx + 0 (since b = 0)

Cοmparing this with the trendline equatiοn y = mx + b, we can see that:

m = 4D

Therefοre, we can sοlve fοr 'D' as:

D = m/4

Answer tο Questiοn 12:

Given the trendline equatiοn y = 1.24x + 5.63, we can see that the slοpe 'm' is 1.24.

Using the fοrmula D = m/4, we can calculate the diffusiοn cοnstant 'D' as:

D = 1.24/4 = 0.31

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Answer:

x=18

Step-by-step explanation:

add 2y to both sides 5x=2y+88

subtract 88 from both sides 2y=5x-88

substitute 2y in the second equation for 5x-88

3x+10x-176=58

add like terms 13x-176=58

add 176 both sides

13x=234

x=18

Answer:

( 18, -6.5 )

Step-by-step explanation:

First choose which method you plan on using: Substitution or Elimation. I chose elimination based off preference.  

How to solve using Elimination:

5x -2y = 88  (multiply every number in this equation by two)

3x+4y=58

10x -4y = 176

3x+4y=58      (combine these two equations)

13x = 234  (isolate x by dividing by 13 on both sides)

x = 18         (this is your value for x)

3(18) +4y=58   (plug in for x)

54+4y=28        (solve)

4y = -26            (subtract 54 from both sides)

y = -6.5             (this is y)

write answer in (x, y) format

( 18, -6.5 )

Answer:

For the value of hypotenuse can be irrational, sum of squares of other two legs might be imperfect square number.

Step-by-step explanation:

We all know, the Pythagorean theorem can be stated as follows:

The sum of squares of two legs of a right angled triangle is equal to the square of the hypotenuse.

i.e.

\(a^2+b^2=c^2\)

Where, \(c\) is the hypotenuse and \(a, b\) are the two other legs of the right angled triangle.

Given that:

\(a\) and \(b\) are rational numbers.

To find:

Situation for which \(c\) is irrational.

Square of a rational number is always rational.

So, \(a^{2} , b^{2}\) both will be rational.

And sum of squares of two rational numbers will also be rational.

Therefore, \(a^2+b^2\) will also be rational.

and

\(c = \sqrt{a^2+b^2}\)

For the value of \(c\) can be irrational, sum of squares of other two legs might be imperfect square number.

Answer:

30 is your answer

Step-by-step explanation:

32x + 1 = 92x - 1

+1+1=92x-32x

2=60x

x=60÷2

x=30

Answer: Today function

Step-by-step explanation:

Answer:

x^3 + 4x^2 - 7x - 10

Step-by-step explanation:

To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.