According to the U.S. Geological Survey, there are over 300,000,000 cubic miles of water on the planet. How this number represented in scientific notation
0 3 x 108
0 3 x 10°
30 x 108
0 30 x 10

Answer:

i just wanted to say god bless yall and im sry for not answerinng the question

Step-by-step explanation:

Answer:

2.52 units

Step-by-step explanation:

2pi(0.8) x (6.3/2pi) = 2.52

portion of the circumference (2pi(r)) times the intercepted arc.

The arc length of the circle is A = 5.0 units

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

To find the length of the arc intercepted by an angle of 6.3 radians in a circle with a radius of 0.8, we can use the formula:

Arc Length = (angle in radians) * (radius)

In this case, the angle is given as 6.3 radians and the radius is 0.8.

Arc Length = 6.3 * 0.8

Arc Length ≈ 5.04

The length of the arc is approximately 5.0 units

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Answer:

C. Add 9.6, then divide by 3.2.

Step-by-step explanation:

\(3.2x−9.6=38.4\)

\(3.2x=38.4+9.6\)

\(3.2x=48\)

\(x = 15\)

a) A horizontal pattern may be seen in the data. It indicates that throughout time, statistics have moved erratically around the average value.

b) MSE is relatively low when alpha is 0.9.

A time series is a statistical or visual representation of points over a period of time that happen in a particular order. Investors who trade in stocks, commodities, or other financial market items can benefit greatly from time series.

Following is a time series. (Image is attached)

The information is organized horizontally. It indicates that throughout time, there is a random movement of data around the average value.

b.) To get the alpha value leading to a lower MSE, the forecast value for months 2 and 3 must be determined.

Second-month forecasted value:

= αY1 + (1 − α) × forecast value of first month

= 0.2 × 7.35 + 0.8 × 7.35

= 7.35

Values predicted during the third month

=αY2 + (1 − α) × forecast value of second month

= 0.2 × 7.40 + 0.8 × 7.35

= 7.36

MSE calculation with alpha = 0.2 (Table is attached as an image)

MSE = (n∑t = k + 1) et² / n − k

= 0.15374651 / (10 − 1)

= 0.017

Where,

MSE = Mean squared error

n = Number of periods in time series

k = Number of periods at the beginning of the time series

et = Forecast period for t

MSE calculation with alpha = 0.9 (Table is attached in the image section)

MSE = (n∑t = k + 1) et² / n − k

= 0.007654524 / (12 − 3)

= 0.009

The MSE is low when the alpha is 0.9.

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Hey there!

“Factor completely 2n + 13n + 15”

2n + 13n + 15

COMBINE your LIKE TERMS

(2n + 13n) + (15)

2n + 13n = 15n

15 = 15

Answer: 15n + 15

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

15(n + 1)

Step-by-step explanation:

Given

2n + 13n + 15 ← collect like terms

= 15n + 15 ← factor out 15 from each term

= 15(n + 1) ← in factored form

Answer:

Step-by-step explanation:

18.

slope of line y=2x-5 is 2

slope of line ⊥ to y=2x-5 is

m=-1/2

eq. of reqd. line through (10,6) with slope -1/2 is

y-6=-1/2(x-10)

multiply by 2

2y-12=-x+10

2y+x=10+12

2y+x=22

2y=-x+22

y=-1/2x+11

19.

slope of line y=12x+5,m=12

eq. of line through (5,2) with slope 12 is

y-2=12(x-5)

y-2=12x-60

y=12x-60+2

y=12x-58

compare with y=mx+b

b=-58

The required length of y representing the length of the cut piece from each corner of triangle to form regular octagon is equal to 2√2cm.

Let us consider the length of the side of the square card be x

Cut the corners of the triangle of length y cm.

Then as triangles at the corner are right angled triangle.

Using Pythagoras theorem we have,

Each side of the regular octagon is same as hypotenuse .

Hypotenuse = √y² + y²

⇒Hypotenuse = y√2

Length of each of regular octagon = y√2

Perimeter of the octagon = 8y√2

⇒8y√2 = 32

⇒ y = 4/√2

⇒ y = 2√2cm.

Therefore, the length of y with the given perimeter of the regular octagon is equal to 2√2cm.

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The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

When the two sides and an angle of a  triangle is known, then the area of the triangle can be found out with the following formula.

\(A=ab\sin\left(\dfrac{C}{2}\right)\)

Here, a,b are the adjacent sides and C is the angle made between them.

The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.

The angle made between them has the measure of 31 degrees. Put the values in the above formula as,

\(A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2\)

Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.

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Answer: A, 10.3

Step-by-step explanation: edge 2022

Answer:

No

Step-by-step explanation:

Ratios are usually written as A:C::B:D, A matches to B as C matches to D

So the ratio 4:3::9:12, you multiply 4 by 2.25 to get 9,

but if you multiply 3 by 2.25, you get 6.75, which is not 12

-Chetan K

When graphing an exponential function, a T-chart is commonly used to determine the values. The correct answer is option A.

The T-chart employs positive real numbers since this is the most typical form of exponential function.

Exponential functions are utilized to represent processes that increase or decrease exponentially, as well as to model phenomena in many different disciplines, including science, economics, and engineering.

The exponential function can be represented by the following equation:

\(y=a^x\), where a is the base, x is the exponent, and y is the outcome.

When a is a positive number greater than one, the function is called exponential growth, while when a is a fraction between 0 and 1, the function is called exponential decay.

The T-chart is used to determine the values to use in the graph and connect the dots as required. Positive real numbers are used as the values in the T-chart in order to effectively graph the exponential function.

Therefore, the correct answer is option A.

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Answer:

It is about 1.89 hours

Step-by-step explanation:

Answer:

6 + 30

Step-by-step explanation:

6(1+5)

6 + 30

= 36

The most precise name for ABCD with vertices A(−5, 2), B(−3, 6), C(6, 6), and D(4, 2) is quadrilateral.

The given quadrilateral ABCD can be classified as a trapezoid. By definition, a trapezoid is a quadrilateral with at least one pair of parallel sides. In this case, sides AB and CD are parallel, which satisfies the definition of a trapezoid.

Furthermore, based on the given coordinates of the vertices, we can see that sides AC and BD are equal in length. An isosceles trapezoid is a special case of a trapezoid in which the non-parallel sides are congruent. Therefore, quadrilateral ABCD can also be classified as an isosceles trapezoid.

To summarize, the most precise name for quadrilateral ABCD is a trapezoid, and more specifically, an isosceles trapezoid.

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Answer:

parallelogram

Step-by-step explanation:

Answer:

Employee benefits are nonsalary compensation granted by an employer.

Step-by-step explanation:

These are other "perks" from your employer, like health/dental/life insurance, stock in the company, discount programs (for example cell phone service discounts), 401K matching, etc.

Point D is 1/n of the way from point C to point E. To find the coordinates of point D, we need to determine the fraction of the distance from C to E that D represents.

Given that n = 5, D is 1/5 of the way from C to E.
To find the coordinates of D, we can use the following formula:
x D = x C + (1/n) * (x E - x C)
y D = y C + (1/n) * (y E - y C)
Plugging in the values, we have:
x D = -2.5 + (1/5) * (5 - (-2.5))
y D = 1.25 + (1/5) * (15 - 1.25)
Simplifying the equations:
x D = -2.5 + (1/5) * 7.5
y D = 1.25 + (1/5) * 13.75
Calculating:
x D = -2.5 + 1.5 = -1
y D = 1.25 + 2.75 = 4
Therefore, the coordinates of point D when n = 5 are (-1, 4).
The coordinates of point D when n = 5 are (-1, 4).
To find the coordinates of point D, which is 1/n of the way from point C to point E, we use the formula xD = xC + (1/n) * (x E - x C) and y D = y C + (1/n) * (y E - y C).
In this case, n = 5. The x-coordinate of point C is -2.5, and the x-coordinate of point E is 5. Plugging these values into the formula, we have:
x D = -2.5 + (1/5) * (5 - (-2.5))
Simplifying, we get:
x D = -2.5 + (1/5) * 7.5
Calculating, we find:
x D = -2.5 + 1.5
x D = -1
Similarly, the y-coordinate of point C is 1.25, and the y-coordinate of point E is 15. Plugging these values into the formula, we have:
y D = 1.25 + (1/5) * (15 - 1.25)
Simplifying, we get:
y D = 1.25 + (1/5) * 13.75
Calculating, we find:
y D = 1.25 + 2.75
y D = 4
Therefore, the coordinates of point D when n = 5 are (-1, 4).
When n = 5, the coordinates of point D, which is 1/5 of the way from point C to point E, are (-1, 4).

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Step-by-step explanation:

5a- rounding to nearest 10th 9.683 = 9.7

rounding to nearest 10th 9.572 = 9.6 both times are not same so false

5b rounding to near est whole no

9.683 and 9.572 become 10. both are same. true.

5c he is faster in 2009 true

Answer:

338

365.58

427.68

712.12

Step-by-step explanation:

for annually compounding interest

PV(1+i)^n

for one year

325(1.04)

338

for 3 years

325(1.04)^3

365.58

For 7 years

325(1.04)^7

427.68

for 20 years

325(1.04)^20

712.12

Therefore, the Taylor polynomials are: T2(x) = 30 - 30(x - π/2)^2, T3(x) = 30 - 30(x - π/2)^2 - 15(x - π/2)^3.

To calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 30 sin(x) with a = π/2, we need to find the values of the function and its derivatives at the center.

First, let's find the values at x = π/2:

f(π/2) = 30 sin(π/2) = 30 * 1 = 30

f'(π/2) = 30 cos(π/2) = 30 * 0 = 0

f''(π/2) = -30 sin(π/2) = -30 * 1 = -30

Now, let's calculate the Taylor polynomials:

T2(x) represents the second-degree Taylor polynomial centered at x = π/2:

T2(x) = f(π/2) + f'(π/2)(x - π/2) + f''(π/2)(x - π/2)^2

Substituting the values:

T2(x) = 30 + 0(x - π/2) + (-30)(x - π/2)^2

T2(x) = 30 - 30(x - π/2)^2

T3(x) represents the third-degree Taylor polynomial centered at x = π/2:

T3(x) = T2(x) + f'''(π/2)(x - π/2)^3 / 3!

To find f'''(π/2), we take the derivative of f''(x):

f'''(x) = d/dx (-30 sin(x)) = -30 cos(x)

Substituting the values:

T3(x) = T2(x) + f'''(π/2)(x - π/2)^3 / 3!

T3(x) = 30 - 30(x - π/2)^2 - (30/2)(x - π/2)^3

T3(x) = 30 - 30(x - π/2)^2 - 15(x - π/2)^3

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Answer:

\( {r}^{2} + \: 2\)

Step-by-step explanation:

Let the no. be r . It's square will be r^2 .

When r^2 is added with 2 , then it's sum is r^2 + 2

Answer:

$11.10

Step-by-step explanation:

Answer:

Step-by-step explanation:

18.50 x 3

Answer:

41, 51 and 52

Step-by-step explanation:

65% of 80 = 52

65 x 80  / 100  = 52

82% of 50 = 41

82 x 50  / 100  = 41

170% of 30 = 51

170 x 30  / 100  = 51

Answer: 82% of 50 (least) 170% of 30 (middle) 65% of 80 (greatest)

Step-by-step explanation:

All you need to do is put in the percentages of the number that it is of. Hope this is the answer your looking for.  

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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The triangle RSY is congruent to triangle TSX which is triangle RSY ≅ triangle TSX as side SX ≅ side SY and side XR ≅ side YT.

First, let us understand the SAS congruency theorem:

This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to the corresponding 2 sides and one angle of another triangle, then they are both congruent.

We are given:

SR and ST are straight lines.

side SX ≅ side SY

side XR ≅ side YT

So,

side SR ≅ side ST

In triangle RSY and triangle TSX;

side SR ≅ side ST (above proved)

∠RSY ≅ ∠TSX (Common)

side SY ≅ side SX (Given)

So, triangle RSY ≅ triangle TSX by SAS congruency theorem.

Thus, the triangle RSY is congruent to triangle TSX which is triangle RSY ≅ triangle TSX as side SX ≅ side SY and side XR ≅ side YT.

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Hi there!

\(\large\boxed{AB = 32.60 in}\)

Find the length of AB by finding the length of its base:

We can use sine to solve for the length of the Hypotenuse of the triangle located in the base:

sin  = O / H

sin 50° = 24 / H

h * sin 50° = 24 ----> h = 24 / (sin 50°)

h ≈ 31.33 in

Use the Pythagorean Theorem to solve for the length of the diagonal since we have solved for the base of the triangle:

c² = a² + b²

c² = 31.33² + 9²

c² = 1062.57

c ≈ 32.60 in

AB = 32.60 in

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Perimeter of circle find by following equation :

\(P = 2 \times (\pi) \times (radius)\)

Semicircle is half of circle , thus :

\(P = \frac{1}{2} \times (2) \times (\pi) \times (11) \\ \)

\(P = 11\pi\)

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Answer:

56.54

Step-by-step explanation:

R=11cm

circumference=2pieR

2*22/7*11

44/7*11

69.08

circumference/2

69.08/2

34.54

diameter

11*2

22

perimeter= 34.54+22

56.54

Answer: 86 86/91 or 7912/91

Work: So you multiply 3/4x by what is in the parenthesis like this: 3/4x*5/6-3/4x*4/23. and you get 5/8x-3/23x=43. And then you simplify to get 91/184x=43 then u multiply both sides by 184 to get rid of the fraction. and you get 91x=7912. then you divide both sides by 91 and you get x=7912/91 or 86 86/91

Answer:

The final answer is \(7x +7\) .

Step-by-step explanation:

-Solve equation:

\(5x + 7 + 2x\)

-Combine like terms:

\(5x + 7 + 2x\)

\(7x +7\)

-Result:

\(7x +7\)

Answer:

-.7x^9

Step-by-step explanation:

The solution of the expression 49x¹⁸ will be 7x⁹.

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

The radical sign, which may be read as either the nth root of x or x radical n, expresses the root of a number. The vinculum, or horizontal line that encircles the number, and the radicand, or number beneath it, are both technical terms.

The given expression is 49x¹⁸. The value of the expression will be solved as:-

E = √( 49x¹⁸)

E = √ (7² x x¹⁸ )

E = 7x⁹

Therefore, the square root will be equal to 7x⁹.

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