Complete the sequence
0.428. 0.447, 0.466,

The bearing of how far east of point G is point H is 51.68 m

Bearing is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass. It is used to describe a particular direction in which an object is traveling.

How to determine this

When point G and point H are 58 m apart

Point H is at a bearing of 63 degrees

i.e At point H = 63°

To calculate how far east of point G is to point H

When North to East is 90°

So, 90° - 63°

= 27°

x meter away from point H to the East

= cos 27° * 58 m

= 0.9114 * 58 m

= 52.86 m

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StartFraction 90 over 7 EndFraction divided by 1 and three-fourths is equal to StartFraction 360}{49 EndFraction.

To divide StartFraction 90 over 7 EndFraction by 1 and three-fourths, we need to convert the mixed number 1 and three-fourths to an improper fraction.

1 and three-fourths can be written as:

1 + 3/4 = 4/4 + 3/4 = 7/4

Now, we can rewrite the division expression as a multiplication of the dividend by the reciprocal of the divisor:

StartFraction 90 over 7 EndFraction ÷ 1 and three-fourths = StartFraction 90}{7 EndFraction × StartFraction 4}{7 EndFraction

Simplifying the expression, we get:

StartFraction 90 over 7 EndFraction ÷ 1 and three-fourths = StartFraction 90}{7 EndFraction × StartFraction 4}{7 EndFraction

= StartFraction 90 × 4}{7 × 7 EndFraction

= StartFraction 360}{49 EndFraction

Therefore, StartFraction 90 over 7 EndFraction divided by 1 and three-fourths is equal to StartFraction 360}{49 EndFraction.

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X = 6

because 8 - 2 = 6

Answer:

.2 Cm

Step-by-step explanation:

The interpretation of the coefficient 5 in the area is that the length is 5 times the width

The area is given as:

Area = 5x^2

The area of a rectangle is

Area = Length * Width

So, we have:

Length * Width = 5x^2

Express 5x^2 as products

Length * Width = 5x * x

By comparison, we have:

Length = 5x

Width = x

This means that the interpretation of the coefficient 5 in the area is that the length is 5 times the width

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Answer:

p∧q

Step-by-step explanation:

A conjunction is a compound statement formed by joining two statements with a mathematical "and"

We are using logic and the mathematical and is "∧"

p∧q  means p and q

Answer:

0.100

Step-by-step explanation:

Could be possible.

The number between 0.25 and 0.125 is 0.2.

A number system is a system of representing numbers, including integers, rational numbers, real numbers, and complex numbers, using a set of symbols and rules for manipulating those symbols.

Different number systems use different symbols and rules for representing and manipulating numbers.

To see why we can convert both 0.25 and 0.125 to fractions with a common denominator of 1000:

0.25 = 250/1000

0.125 = 125/1000

Now we can see that 0.2 (or 200/1000) is between the two numbers:

125/1000 < 200/1000 < 250/1000

In decimal form, 0.2 is between 0.25 and 0.125.

The number between 0.25 and 0.125 is 0.2.

To see why we can convert both 0.25 and 0.125 to fractions with a common denominator of 1000:

0.25 = 250/1000

0.125 = 125/1000

Now we can see that 0.2 (or 200/1000) is between the two numbers:

125/1000 < 200/1000 < 250/1000

In decimal form, 0.2 is between 0.25 and 0.125.

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Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

P.E.M.D.A.S. stands for parentheses, exponents, multiplication, division, addition, and subtraction

so first do the parentheses (3+7) = 10   which leaves 10×6+4  then since their is no exponents do multiplication which is 10×6=60  which leaves 60+4 finally since their is no division do addition 60+4=64

We need to integrate the function

y = 2x - x² with respect to x, from x = 0 to x = 2.

The graph of the function intersects the x-axis at x = 0 and x = 2.

So,

Area of region R = ∫[0,2] (2x - x²) dx

= [x² - (1/3)x³] from 0 to 2

= [2² - (1/3)(2)³] - [0² - (1/3)(0)³]

= 4/3

Now, let's find the equation of the line y = cx. Since the line passes through the origin (0,0), we have y = cx.

To find the value of c that divides the region R into two equal subregions, we need to find the value of x where the

area under the curve y = 2x - x² is equal to the area under the line y = cx.

∫[0,a] (2x - x²) dx = ∫[0,a] cx dx

[2x²/2 - x³/3] from 0 to a = [c/2 x²] from 0 to a

2a²/2 - a³/3 = c/2 a²

We multiply both sides by 6, we get:

12a² - 2a³ = 3ac

2a² - (1/3)a³ = (1/2)ac

2a - (1/3)a² = (1/2)c

c = (4a - (2/3)a²)/2

We know that the area under the line is equal to the area under the curve up to the point of intersection, we have:

∫[0,a] (2x - x²) dx = ∫[0,a] (cx) dx - ∫[a,2] (2x - x²) dx

2a²/2 - a³/3 = c/2 a² - 2a² + (8/3)a³ - 4a + (4/3)a²

10a³/3 - 7a² + 4a = 0

a = 0, 1.4105, -0.6172

The only value of a that is within the range 0 to 2 is a = 1.4105. Substituting this value into the equation for c, we get:

c = (4a - (2/3)a²)/2 = 1.636

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Answer:

$6.50

Step-by-step explanation:

You just have to subtract the 2 so you get $6.50 which is how much he needs to earn

Answer:

$6.5

Step-by-step explanation:

all you have to do is find the difference between the two values

15.75-9.25=6.5

Answer: The equations are y = 4x-3  and y= 3x -1

Step-by-step explanation:

So lets say both equations will have positive slopes. Using that, we can input any slope  and solve for the y intercept using the coordinates.We will use the formula, y=mx + b  where m is the slope and b is the y-intercept

Let's say the slope is 3.

5 = 3(2) + b

5= 6 + b

-6  -6  

b= -1  

We can now come up with the equation, y= 3x -1  

We need to find another equation that will intersect with it at the point (2,5)

For lines to intersect, they need to have different slopes and different y-intercepts.

We need to come up with a new slope, the slope of the second equation could be 4. Now using the formula, use the coordinates so solve for the y intercept.

5= 4(2) + b

5 = 8 + b

-8   -8

b = -3

The equation will be   y = 4x -3  

We now have the equations y=4x -3   and  y = 3x -1  

To find that their solution is (2,5)  substitute one of the y-values into the other and solve for x then solve for y.  

4x -3 = 3x -1

    +3        +3

4x = 3x + +2

-3x   -3x

1x = 2

x = 2  

We know now that the value of x is true because the value of x is 2.Input it into one of the equations and solve for y.

y = 4(2) - 3

y = 8-3

y = 5

The solution is indeed (2,5) .

Answer: $13.10

Step-by-step explanation: 4 small packages, 4*2.50 is $10. Add one large  package which is $3.10 and you'll have your answer, it costs $13.10.

Answer:

It will cost him $13.10 to send 4 small packages and 1 large package.

Step-by-step explanation:

1. Cost of sending 4 small packages = 4 * $2.5 = 4 * $2.50 = $10

2. Cost of sending 1 large package = 1 * 3.1 = $3.1

Total cost of sending 4 small and 1 large packages = $10 + $3.10 = $13.10

The equation of the line in the given form Ax + By = C is 3x + 4y = 40

The given parameters from the question are given as

Point = (8, 4)

Slope = -3/4

Start by representing the equation in the slope intercept form

This is calculated as

y = m(x - X) + Y

Where

m, Slope = -3/4

(X, Y), Point = (8, 4)

So, we have

y = -3/4(x - 8) + 4

Multiply through by 4

4y = -3(x - 8) + 16

Evaluate the like terms

4y = -3x + 24 + 16

This gives

3x + 4y = 24 + 16

Evaluate

3x + 4y = 40

Hence, the equation is 3x + 4y = 40

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Answer:

For the parallel one the gradient will stay the same, so you just need to work out the y-intercept

3=(-12)-6+c

3=12+c

c=-9

equation for parallel line y=-6x-9

Then for perpendicular the gradient is the reciprocal

so you substitute again

3=1/6(-2)+c

3=-1/3+c

c=10/3

the equation for perpendicular is y=1/6x+10/3

Answer:

0.15

Step-by-step explanation:

The total amount of shirts not sold is 225 shirts. The percent of shirts not sold is 225 divided by the total number of t shirts which is 1500. 225/1500 is 0.15. So 0.15 percent of the shirts were not sold.

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This set of formal English contains all strings that start with `10` and have additional `10`s in them, as well as the empty string.

The given regular expression is `(10)+( ∪ )`.

To describe this set in formal English, we can break it down into smaller parts and describe each part separately.Let's first look at the expression `(10)+`. This expression means that the sequence `10` should be repeated one or more times. This means that the set described by `(10)+` will contain all strings that start with `10` and have additional `10`s in them. For example, the following strings will be in this set:```
10
1010
101010
```Now let's look at the other part of the regular expression, which is `∪`.

This symbol represents the union of two sets. Since there are no sets mentioned before or after this symbol, we can assume that it represents the empty set. Therefore, the set described by `( ∪ )` is the empty set.Now we can put both parts together and describe the set described by the entire regular expression `(10)+( ∪ )`.

Therefore, we can describe this set in formal English as follows:This set contains all strings that start with `10` and have additional `10`s in them, as well as the empty string.

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Answer:

a = 1/4

Step-by-step explanation:

To solve for a, you need to isolate it by dividing both sides by 28.

7/28 = 1/4

a = 1/4

Check your answer by plugging x = 1/4 back into the equation.

28(1/4) = 7

7 = 7

Your answer is correct.

Hope this helps!

Using the theories of Application of derivative,we got that  59.11221inches³/sec  is rate of volume changing when the radius is 2.3 inches.

We are given rate of change of radius (dr/dt)=0.6inches

We know very well that volume of sphere is given by (4/3)πr³

where r is the radius of the sphere.

Now, differentiating the volume with respect to radius, we get

=>dV/dr=4πr²

=>dV/dt=(dv/dr)·(dr/dt)

=>dV/dt=4πr².(dr/dt)

We are given that dr/dt=0.6inches/sec

So, dV/dt=4πr²·(0.6)

Now, putting values of r=2.3

 dV/dt=4π(2.3)²×(0.6)

=>dV/dt=4×3.14×2.3×2.3×0.6

=>dV/dt=59.11221inches³/sec

Hence, if we suppose suppose that the radius is expanding at a rate of 0.6 inches per second, the volume is changing at the rate of 59.11221inches³/sec when the radius is 2.3 inches.

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The statement "there exists a function f such that f(x) < 0, f'(x) > 0, and f''(x) < 0 for all x" is True.

1. f(x) < 0: This means the function is always negative.
2. f'(x) > 0: This means the function is always increasing.
3. f''(x) < 0: This means the function is always concave down.

A function that satisfies all these conditions is f(x) = -e^x.

1. For all x, f(x) = -e^x is always negative because e^x is always positive and the negative sign in front makes it negative.
2. The first derivative of f(x) is f'(x) = -e^x, which is always positive because e^x is always positive and the negative sign cancels out.
3. The second derivative of f(x) is f''(x) = e^x, which is always negative because e^x is always positive.

Therefore, the statement is true.

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Answer:

Step-by-step explanation:

Como quito el ingles

Answer:

Step-by-step explanation:

Given:

N₀ = 298 pages

N = 20 pages

You can apply the formula:

Number of days

D = [N₀ / N] + 1 = [298 / 20 ] + 1 =

= [14.9] + 1 = 14 + 1 = 15 day,

where the square brackets are the integer part of the number

If a book has 298 pages, and I read 20 pages a day, then it will take 15 days to read the entire book.

Total pages in the book= 298

Total pages that I daily read= 20

Then it will take 15 days to read the entire book.

The formula for this problem:

The solution to this type of problem can be figured out with the help of unitary method.

20 pages of a book can be read in = 1 day

1 page of a book can be read in = 1/20 days

298 pages of a book can be read in = 1/20×298 days = 14.9 days

But days cannot be 14.9, so it will be 15 days which is the nearest value of 14.9.

15 days it will take to read the entire book.

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In linear equation, the noble is $ 120 and the douglas is $200 are  the cost per tree for each type.

What in mathematics is a linear equation?

n= noble fir trees

d= douglas fir trees

5n + 3d = $420

12n + 9d = $1,080

multiply the second equation by 3

36n + 18d = 3,240

now divide the equation by 18

2n + d = 180

-2n        -2n

d = 180 - 2n

Now put that equation in the first as d

5n + 3(180 -2n) = 420

5n + 540- 6n = 420

     - 540         -540

1n = 120

n = 120

Now put n into the second equation( none changed one) to find d

12(120) + 9d = 3240

1440 + 9d = 3240

-1440        -1440

9d = 1800

÷9    ÷9

d= 200

so the noble is $ 120

and the douglas is $200

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The complete question is -

A student government organization is selling Christmas trees as a fundraiser. On Friday, they sold 5 noble fir trees and 3 douglas fir trees for a total of $420. On Saturday, 12 noble fir trees and 9 douglas fir trees were sold for a total of $1,080. What is the cost per tree for each type?

Answer:

379.94

Step-by-step explanation:

A = πr²

A = 3.14(11 in.)²

A = 3.14(121 in²)

A = 379.94 in.²

Answer:

The decay rate of the medication is approximately \(0.116\,\frac{1}{h}\).

Step-by-step explanation:

If we know that amount of medication decays exponentially, this amount is represented by the following expression:

\(n(t) = n_{o}\cdot e^{-\lambda\cdot t}\) (1)

Where:

\(n_{o}\) - Initial amount of medication.

\(n(t)\) - Current amount of medication.

\(t\) - Time, measured in hours.

\(\lambda\) - Decay rate, measured in \(\frac{1}{h}\).

In addition, the decay rate is determined by the following formula:

\(\lambda = \frac{\ln 2}{t_{1/2}}\) (2)

If we know that \(t_{1/2} = 6\,h\), then the decay rate is:

\(\lambda = \frac{\ln 2}{6\,h}\)

\(\lambda \approx 0.116\,\frac{1}{h}\)

The decay rate of the medication is approximately \(0.116\,\frac{1}{h}\).

Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

Answer:

0.2643

Step-by-step explanation:

Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives Summary: When a fair die is tossed 200 times, the probability of obtaining at most 30 fives is 0.2643.