PLEASE HURRY

What is the scientific notation for a length of
0.000028 meter?


A. 2.8 x 10^5
B. 0.28 x 10^-4
C. 2.8 x 10^-5
D. 28 x 10^-6

Answer: 766.41m

Step-by-step explanation:

Hi, since the situation forms 2 right triangles (see attachment) we have to apply the Pythagorean Theorem for one triangle.  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the diagonal distance between corners of the field, which is the distance between the posts if they are placed as far apart as possible ) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 616^2 + 456^2  

c^2 = 379,456+207,936  

c^2 =587,392

c = √587,392

c = 766.41m

So, she is within the area serviced by the tower (20 miles)  

Feel free to ask for more if needed or if you did not understand something.  

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

5

Step-by-step explanation:

2/12 goes in 11/12 5 times. 1/12 inch will be left.

Answer: 6/7

Step-by-step explanation:  

Answer:

0.85714285714 rounded to 0.86

Step-by-step explanation:

(-4/7) = -0.57<- rounded up

(-10/7)=-1.43<-rounded up

0.57- -1.43=0.86

To compute the probabilities and sketch the graphs, we can use technology such as a statistical software or a graphing calculator. The steps involved are as follows:

(a) For X ~ N(3.7, 4.55), to find P(3.0 ≤ X ≤ 4.0), we can use the normal distribution function with the given mean and standard deviation. By inputting the values into the software, it will calculate the probability for us. Similarly, for (b) X ~ N(62, 100), to find P(45 ≤ X ≤ 50), and (c) X ~ N(7.6, 12), to find P(8 ≤ X ≤ 9) and P(X ≥ 45), we can follow the same process.

Once the probabilities are computed, we can plot the corresponding graphs to visualize the probability distributions. Each graph will have the X-axis representing the variable X and the Y-axis representing the probability density. The graphs will show the range of X values and the corresponding probabilities within that range.

By utilizing technology, we can efficiently calculate the probabilities and create accurate graphs to visualize the distributions.

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The area of the base of the parcel box is given by the expression A=2x²+8x+6. The dimensions (length and width) are determined from this expression as (2x+2) and (x+3).

In general, the volume of a rectangular box is calculated by the product of the height, width, and length of the box. From the given hint, we can write the volume of the parcel box as a product of the height and the area of the base. This is written as,

\(\begin{aligned}V&=A\times h\\6x^2+24x+18&=A\times 3\\A&=\frac{1}{3}(6x^2+24x+18)\\A&=2x^2+8x+6\end{aligned}\)

The above equation gives the area of the base

Now solving the above quadratic equation to find dimensions, we get,

\(\begin{aligned}A&=2x^2+8x+6\\&=2x^2+6x+2x+6\\&=2x(x+3)+2(x+3)\\&=(2x+2)(x+3)\end{aligned}\)

The dimensions are (2x+2) and (x+3).

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Answer:

x = -5.5

Step-by-step explanation:

-2x - 4 + 2x + 32 - 2x - 21 = 18​

-2x - 4 + 32 - 21 = 18

-2x + 7 = 18

-2x = 11

x = -5.5

So, the answer is x = -5.5

Answer:

Step-by-step explanation:

Sorry, but Ummm the question doesn't make sense

There are 144 ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions.

We have to list the digits {1, 1, 2, 2, 3, 4, 5} so that two identical digits are not in consecutive positions. We can use the knowledge of permutations and combinations to solve this problem. We can start by selecting the positions for the distinct digits, i.e., (3, 4, 5). There are 3 distinct digits, so there are 3! = 6 ways to arrange them.

Once we have placed the distinct digits, we can place the two 1's and two 2's in the remaining positions such that no two identical digits are in consecutive positions. To do this, we can use the following approach:

We can start by placing one of the 1's. There are 4 positions available for the first 1.

We can then place one of the 2's. There are 3 positions available for the first 2.

We can then place the second 1. There are 2 positions available for the second 1.

We can then place the second 2. There are 1 positions available for the second 2.

Therefore, the total number of ways to list the digits {1, 1, 2, 2, 3, 4, 5} such that two identical digits are not in consecutive positions is:

6 (arrangements of distinct digits) x 4 x 3 x 2 x 1 = 144.

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We are given the function to differentiate:

\({\quad \qquad \sf \rightarrow y=x^{e^x}}\)

Do take natural log on both sides, then we will be having

\({:\implies \quad \sf ln(y)=ln(x^{e^{x}})}\)

\({:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}\)

Now, differentiate both sides by using so called chain rule and the product rule

\({:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}\)

\({:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}\)

Hence, Option B) is correct

Product rule of differentiation:

Where, u and v are functions of x

Answer: 0.071

Sig Figs

2

0.071

Decimals

3

0.071

Scientific Notation

7.1 × 10-2

E-Notation

7.1e-2

Words

zero point zero seven

Step-by-step explanation:

The term 0.07164 can be written as 0.072 correct to 2 significant figures is.

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

The given term is 0.07164

In decimal number, the zeros before a non-zero digit are not significant.

In the given term, the zero before digit seven is insignificant,

And after digit 1 the number is 6 which is greater than 5, so it will convert into 6 by round off.

Therefore, the  required figure of 0.07164 correct to 2 significant figures is 0.072.

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Answer:

no solution

Step-by-step explanation:

Given the 2 equations

y = \(\frac{1}{2}\) x + 4 → (1)

- \(\frac{1}{2}\) x + y = - 5 → (2)

Substitute y = \(\frac{1}{2}\) x + 4 into (2)

- \(\frac{1}{2}\) x + \(\frac{1}{2}\) x + 4 = - 5 , that is

4 = - 5 ← not possible

This indicates the system has no solution

Answer:

g ∈ ∅

Step-by-step explanation:

Expand the expression

30 g + 12 = 30  

Cancel out the 30g on both sides

12 = 0

Decide whether the statement is true or false

g ∈ ∅

Answer:

123

Step-by-step explanation:

100 ÷ 5 x 4 + 43

20 x 4 + 43

80 + 43

123

Answer:

135°

Step-by-step explanation:

In a hexagon, sum of all angles = 720

x + x + x + x + 90 + 90 = 720

4x + 180 = 720

4x = 720 - 180

4x = 540

x = 135°

Answer:

21 7/8 square feet

Step-by-step explanation:

To solve the above Question, we have to used the formula of a parallelogram

The formula is given as:

Base × Height

Base = 6 1/4 feet

Height = 3 1/2 feet

Area = 6 1/4 × 3 1/2

Area = 25/4 × 7/2

Area = 175/8

Area = 21 7/8 ft²

Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner

Answer:

you did not attach a paper

Step-by-step explanation:

sorry I wish I could help

1 / (1 - sin^5 x) = [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)
the integral ∫1 to [infinity] e^−5x dx converges to a finite value, the series [infinity]∑n=1 e^−5n also converges.

1. To express the function 1 / (1−sin^5 x) as a series using the geometric series formula, we need to first identify the value of y. In this case, y is sin^5 x. Therefore, we have:

1 / (1−sin^5 x) = 1 / [1 - (sin x)^5]
= 1 / [1 - (sin x)^2 * (sin x)^3]
= 1 / [cos^2 x * (1 - sin^2 x) * (1 + sin^2 x + (sin^2 x)^2)]
= 1 / [cos^2 x * cos^2 x * (1 + sin^2 x + (sin^2 x)^2)]
= 1 / [cos^4 x * (1 + sin^2 x + (sin^4 x)/(sin^2 x))]
= 1 / [cos^4 x * (1 + sin^2 x + sin^2 x * (1 - cos^2 x)/(sin^2 x))]
= 1 / [cos^4 x * (1 + sin^2 x + (1 - cos^2 x)/sin^2 x)]
= 1 / [cos^4 x * (2 - cos^2 x)/sin^2 x]
= sin^2 x / [cos^2 x * (2 - cos^2 x)]

Now, we can substitute y = (sin x)^5 into the geometric series formula:

1 / (1 - y) = [infinity]∑n=0 y^n

to get:

1 / (1 - sin^5 x) = sin^2 x / [cos^2 x * (2 - cos^2 x)]
= [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)

Therefore,

1 / (1 - sin^5 x) = [infinity]∑n=0 [sin^5 x]^n * [cos^2 x * (2 - cos^2 x)]^(-1)

2. To find the value of ∫1 to [infinity] e^−5x dx using the integral test, we need to first verify that the function f(x) = e^−5x is positive, continuous, and decreasing for x ≥ 1. Since f(x) is a continuous, positive, and decreasing function, we can apply the integral test to determine the convergence of the series.

The integral test states that if a series [infinity]∑n=1 a_n converges and a_n is a positive, decreasing function of n, then the corresponding improper integral ∫1 to [infinity] a(x) dx also converges. Similarly, if the improper integral diverges, then the series also diverges.

In this case, we have:

a_n = e^(-5n)

a_n is a decreasing function of n, since e^(-5n) is a decreasing exponential function.

Therefore, we want to find the value of the improper integral:

∫1 to [infinity] e^−5x dx

Using the substitution u = -5x, du = -5dx, and limits of integration u(1) = -5 and u([infinity]) = -∞, we can rewrite the integral as follows:

∫1 to [infinity] e^−5x dx = ∫-5 to -∞ (1/-5) * e^u du
= (1/-5) * [e^u]_-5^-∞
= (1/-5) * [e^(-∞) - e^(-5)]
= (1/-5) * [0 - 1/e^5]
= 1/(5e^5)

Since the integral ∫1 to [infinity] e^−5x dx converges to a finite value, the series [infinity]∑n=1 e^−5n also converges.
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Answer:

17

Step-by-step explanation:

hope it helps

Answer:

The value of the expression when k = 40 is 17.

Step-by-step explanation:

Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.

Answer:

if it's 5 or more, increase the previous digit by one.

0.3317  is the p-value .

What is the P value?

H0 : Mu  =  10.2

H1 : Mu > 10.2

Test statistic

t=0.45          (since n is small)

P value = 0.3317

Hence P is greater than 0.10

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Answer:  the answer is in the pics

Step-by-step explanation:

The solution of the expression ( 7/8+ 3/8x-1/4y+3/4y-1/2 ) is 1 / 2 ( 3 / 4 x +  y + 3/4).

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

The given expression is ( 7/8+ 3/8x-1/4y+3/4y-1/2 ). The given expression will be simplified as below,

E = ( 7/8+ 3/8x-1/4y+3/4y-1/2 )

E = 1 / 2 ( 7 / 4 + 3/4x -1/2y + 3/2y - 1 )

E = 1/2 ( 3/4x +y + 3/4)

Therefore, the solution of the expression will be E = 1/2 ( 3/4x +y + 3/4).

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Answer:

$20.70

Step-by-step explanation:

5 × $3.70 = $18.50 + $2.20 =

$20.70

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

(B) (-1, 2) ordered pair is the best estimate for the solution to the system.

To solve the system {13x + 6y = −30, x − 2y = −4} using a graphing tool, we need to plot the line for each equation and find the point where they intersect.

This point is the solution to the system.

The intersection point appears to be (-1, 2).

Therefore, the best estimate for the solution to the system is the ordered pair (-1, 2).

Therefore, option b. (-1, 2) is the correct option.

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Answer:

  P = 18

Step-by-step explanation:

You want the maximum value of P = 3x +2y given the constraints ...

The four inequalities define a quadrilateral solution region with vertices ...

  (0, 0), (0, 7.333), (2, 6), (3.2, 0)

The value of the objective function P is maximized at (x, y) = (2, 6). Its value there is ...

  P(x, y) = 3·2 +2·6 = 6 +12 = 18

The maximum value of P is 18.

__

Additional comment

When the solution region is the overlapping solution spaces of several inequalities, it can be easier to see the solution region if that region is white, rather than four overlapping colors.

In the attached graph, we reversed each of the inequalities so that the solution space is white, and the shaded regions are excluded from the solution space. The boundary lines are all included.

The blue line is the objective function. It is maximized when the line is as far as possible from the origin. We like to plot this line because its slope tells us that we have located the vertex that maximizes P.

Increasing marginal productivity infers that extra units of capital and labor contribute more to yield, driving productive asset allotment. ∝ and ß < 1 expect reducing returns, adjusting with reality.

To appear that the generation work has to expand the marginal productivity of capital (in case ∝ > 1) and labor (on the off chance that ß > 1), we ought to take fractional subsidiaries with regard to each input calculation. For capital (K), the fractional subsidiary of the generation work is:

\(\dfrac{dy}{dK }= \alpha AK^{(\alpha-1)}L^\beta\)

Since ∝ > 1, (∝ - 1) is positive, which implies that the fractional subordinate \(\dfrac{dy}{dK}\) is positive. This shows that an increment in capital input (K) leads to an increment in yield (y), appearing to expand the marginal efficiency of capital.

Additionally, for labor (L), the fractional subordinate of the generation work is:

\(\dfrac{dy}{dL} = \beta AK^{\alpha}L^{(\beta-1)}\)

Since \(\mathbf{\beta > 1, (\beta-1)}\) it is positive, which implies that the halfway subordinate \(\dfrac{dy}{dL}\) is positive. This demonstrates that an increment in labor input (L) leads to an increment in yield (y), appearing to increase the marginal productivity

The economic importance of increasing marginal productivity is that extra units of capital and labor contribute more to yield as their amounts increment.  This suggests that the more capital and labor a firm employments, the higher the rate of increment in yield. This relationship is vital for deciding the ideal assignment of assets and maximizing generation effectiveness.

In most generation capacities, it is accepted that ∝ and ß are less than 1. This presumption adjusts with experimental perceptions and financial hypotheses.

In case ∝ or ß were more prominent than 1, it would suggest that the marginal efficiency of the respective factor increments without bound as the calculated input increments.

In any case, there are decreasing returns to scale, which suggests that as calculated inputs increment, the Marginal efficiency tends to diminish. Therefore, accepting ∝ and ß are less than 1 permits for more reasonable modeling of generation forms and adjusts with the concept of diminishing marginal returns.

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