given h (x)=2x+4 find h(-1)

The general solution of the given differential equation are:  [tex]e^{\frac{-x}{3}}[/tex] [A cos(x√ 2/3) + B sin(x√ 2/3) i ]

Now,

Given: 3y'' + 2y' + y = 0

To find: General solution of the given differential equation.

Finding:

=> [tex]3\frac{d^{2}y}{dx^{2}} + 2 \frac{dy}{dx} + y = 0[/tex]

The characteristic equation of this equation is:

=> 3m² + 2m + 1 = 0

=> m = [tex]\frac{(-2)± \sqrt{4 - 4(3)(1)}}{2(3)}[/tex]

=> m = [tex]\frac{(-2)±\sqrt{4-12}}{6}[/tex]

=> m = [tex]\frac{(-2)±2\sqrt{2}i}{6}[/tex]

=> m = [tex]\frac{(-1)±\sqrt{2}i}{3}[/tex] = [tex]\frac{-1}{3}[/tex] ± [tex]\frac{\sqrt{2}}{3}[/tex]

Thus, For a = -1/3 and b = (√2)/3,

General solution of the differential equation => [tex]e^{\frac{-x}{3}}[/tex] [A cos(x√ 2/3) + B sin(x√ 2/3) i ]

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Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

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Paula shovels 3 square feet more than Melinda in 1 minute.

We are given two equations relating the distance covered by each while they shovel. Assuming the x to be representative of Melinda's speed and y to be representative of Paula's speed. Making at least one coefficient same for both the equation.

Equation 1 : 30x + 30y = 450

Equation 2 : 20x + 25y = 345

Dividing equation 1 and equation 2 by 5.

Equation 3 : 6x + 6y = 90

Equation 4 : 4x + 5y = 69

Multiplying equation 3 with 4 and equation 4 with 6.

Equation 5 : 24x + 24y = 360

Equation 6 : 24x + 30y = 414

Subtracting Equation 5 from Equation 6.

  24x + 30y = 414

- 24x + 24y = 360

6y = 54

y = 9

Keep the value of y in equation 3

6x + 6×9 = 90

6x + 54 = 90

6x = 90 - 54

6x = 36

x = 6

So, Melinda's speed is 6 square feet per minute and Paula's speed is 9 square feet per minute.

Difference between speed = 9 - 6

Difference = 3 square feet per minute

Hence, Paula's speed is 3 square feet per minute more than Melinda.

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The complete question is -

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway.

30x + 30y = 45020x + 25y = 345

How much more can Paula shovel in 1 minute than Melinda?

3 square feet per minute

6 square feet per minute

9 square feet per minute

15 square feet per minute

Answer:

A: 3 square feet per minute

Step-by-step explanation:

11/12 - 3/4 = 1/6

1/2 + 4/9 = 17/18

11/12 - 3/4

= 11-9/12

= 2/12

= 1/6

1/2 + 4/9

= 9+8/18

= 17/18

Hence the solution to the expression in it's simplest form is 1/6 and 17/18

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Answer:

1/6and 17/18

Step-by-step explanation:

11/12-3/4

find the l.c.m

11/12-3/4=11-9/12=2/12=1/6

1/2+4/9=9+8/18=17/18

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Answer:

x=1

Step-by-step explanation:

-2(2x-4)=4x

Distributive property.

-4x+8=4x

+4x      +4x

8x=8

/8  /8

x=1

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Answer:

Step-by-step explanation:

Not sure..

The probability that at least one of them has been vaccinated is 0.9552

Probability:

Probability defines the possible occurrence of any particular required event.

Given,

Here we need to find in a large population, 54 % of the people have been vaccinated. if 4 people are randomly selected, what is the probability that at least one of them has been vaccinated.

Here we have to know that,

The situation where at least one out of 4 are vaccinated includes all but one possibility, that which none of the 4 are vaccinated.

The sum of all probabilities must equal 1.

Let Q be probability none of the 4 are vaccinated.

Let P be probability that at least 1 is vaccinated.

Then the probability is calculated as,

P = 1 - Q

Now if 54% are vaccinated, then 46% are not vaccinated.

Thus any given person has a probability of 0.46 of not being vaccinated.

=> Q = (0.46)⁴

=> Q = 0.0448

Then apply the value to the formula,

=> P = 1 - 0.0448

=> P = 0.9552

Therefore, the probability that at least one of them has been vaccinated 0.9552.

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As a result, 3.0 x 10¹ litter of gasoline will be used for a 450-kilometer trip.

The correct option  is B.

In fact, a conversion factor is a number that is utilized to multiply as well as divide one set of units by another.. When converting to an equivalent value, the appropriate conversion factor must be utilized. To convert inches into feet, for example, the suitable conversion value becomes 12 inches equal to 1 foot.

Unit conversion is indeed a multi-step procedure that includes multiplying or dividing by a numerical factor, determining the appropriate number of important digits, and rounding.

The car gets 35 miles for each gallon of gas.

We need to calculate how many liters of petrol will be required for a 450-kilometer trip.

first converting km into miles:

1 km  =0.621371 miles.

So,

450 km = 450 x 0.621371

= 279.61 miles.

Now we know that :

One gallon of gasoline will get you 35 miles.

So for 279.61 miles.

Let x be the number of liters of gasoline required to travel the distance.

So

x = 279.61 / 35

x = 7.98 gallons

Now in litters:

1 gallon = 3.78541litters

So,

7.98 * 3.7854 = 30.24

                       = 3.0 x 10¹ litter

As a result, 3.0 x 10¹ litter of petrol will be used for a 450-kilometer trip.

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I understand that the question you are looking for is:

A car averages 35 miles per gallon of gasoline.  How many liters of gasoline will be needed for a trip of 450 kilometers?  Some conversion factors, which may be helpful are the following:

   1 qt = 0.946 L.

  1 mile = 0.621371 km.  

1000 m = 1 km.

  4 qt = 1 gallon.

  1 ft = 12 inches.  

a. 2.5 x 10¹ L

b. 3.0 x 10¹ L

c. 3.5 x 10¹ L  

d. 4.0 x 10¹ L    

e. 4.5 x 10¹ L  

Answer:

73.39

Step-by-step explanation:

Answer:

73.705

Step-by-step explanation:

73.700

73.705

73.710

Divide 0.01 by 2 and u would get 0.005

Answer:

18.7 units (3 s.f.)

Step-by-step explanation:

The distance between two points is given by the formula below, where [tex](x_1, y_1)[/tex] is the first coordinate and [tex](x_2, y_2)[/tex] is the second coordinate.

[tex]\boxed{{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

Substitute the given points into the formula:

Distance between (0, -5) and (18, -10)

= [tex]\sqrt{[-10 -(-5)]^{2} + (18-0)^{2} }[/tex]

= [tex]\sqrt{(-10+5)^2+18^2}[/tex]

= [tex]\sqrt{(-5)^2+18^2}[/tex]

= [tex]\sqrt{349}[/tex]

= 18.7 units (3 s.f.)

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Answer:

660%

Step-by-step explanation:

6 x 100= 600%

3/5 = 0.6 × 100 = 60%

600% + 60% = 660%

The average acceleration during the time interval 0 seconds to 10 seconds is [tex]\frac{V_{1}-V_{2} }{10}[/tex] unit per second per second.

As per the question statement, we are supposed to find out the average acceleration during the time interval 0 seconds to 10 seconds. But before solving this question we should be aware about what actually average acceleration is.

Average acceleration : [tex]\frac{change in velocity}{total time interval}[/tex]

Here in the question, we are not given information about velocity of the object hence we assume the initial and final velocities of the object to be [tex]V_{1}[/tex] and [tex]V_{2}[/tex] respectively, hence

Change in velocity = [tex]V_{1}-V_{2}[/tex]

Total time interval = [tex](10 - 0)sec=10sec[/tex]

Therefore by definition of average acceleration we get

[tex]A_{avg}[/tex][tex]= \frac{V_{1}-V_{2} }{10}[/tex] unit per sec per second

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No these lengths does not form a right triangle

There is a property of triangles which says that some of two sides of the triangle should be more than the third side of the triangle

So first case 6,30,5

30+6 =36 which is  more than 5

second case 5,30,6

5+30 =35 which is more than 6

third case 5,6,30

5+6 =11 which is not more than 30

as in third case the property is breached because sum of two sides of triangle is not more than third side so the figure cannot be a triangle .

And hence we cannot check whether it is a right angle triangle or not.

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The multiplication of [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

Multiply the decimal numbers to multiply the integers in scientific notation. Add the 10 power exponents after that. In scientific notation, place the new power of 10 with the decimal.

given that [tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

Now, find the answer in scientific notation

[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex]

combine the all the like terms

[tex](2.4 \times 4)( {10}^{14} \times {10}^{7} )[/tex]

According to the exponent same base rule, an exponent will be added if the bases of two exponents are the same.

[tex](9.6) \times ( {10}^{14 + 7)} ) \\ 9.6 \times {10}^{21} [/tex]

Hence,the multiplication of[tex](2.4 \times {10}^{14} ) \times (4 \times {10}^{7} )[/tex] in scientific notation is [tex]9.6 \times {10}^{21} [/tex]

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The type of question is GCF .

The factor of a number is a number that can divide another number perfectly without leaving any remainder.  Highest common factor is the highest factor that is common to two or more numbers

Factors of 8, 16 and 24 = 1, 2, 4, 8,

Highest common factor = 8

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Answer:

The correct answer is B)

Step-by-step explanation:

The values x = 2 and y = 5 make the equation true.

the reason for this is because ordered pairs are in the form (x,y), meaning  for the point (2,5), the number 2 is an x-value and the number 5 is a y-value. so when you put these numbers into the equation, you should get a true statement both sides are equal to one another.

Answer:

Step-by-step explanation: the correct answer is B) x=2 and y=5 make the equation true.

Answer:

42

Step-by-step explanation:

45 divided by 5 is 9.

210 divided by 5 is 42.

Hope It Helps

Sorry If I'm Wrong

Answer:

a. zy = yz

Step-by-step explanation:

Commutative property of multiplication rule:

(a)(b) = (b)(a)

Answer:

6

Step-by-step explanation:

Answer:

6(x+6y)

Step-by-step explanation:

The greatest common factor is 6.

6x+36y=

=6(x+6y)

The expression with the GCF factored out is 6(x+6y)

Hope this helps!

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Answer:

T=48

Step-by-step explanation:

Now since I don’t know the height at the present moment, I’ll just make this ratio (of the tree) be represented as x/36. Which is saying that for every ‘x’ amount of feet, there will be 36 feet of shadow.

so we have 4/3=x/36. If I cross multiply 36 and 4, then divide the product by 3, then ‘x’ will be 48.

Answer:

Answer choice "b. e"

Step-by-step explanation:

The vertex is the starting point of a line, ray, angle etc...

Answer:

100 times bigger this is simple math

Answer:

Step-by-step explanation:

The radians will the hour hand on a clock rotation for 23hr and 6hr is 23/6π and π.

We have to find the radians will the hour hand on a clock rotation for 23hr and 6hr.

One revolution is done by fully around the circle with the radius. After one full rotation, the radius subtends an angle of 2π radians at the circle's center. To illustrate the conversion of 1 radian to degrees, we will use the knowledge that 2π radians = 360 degrees.

2π radians = 360°

Divide the above equation by 2,

⇒ π radians = 180°

Divide the above equation by π,

⇒ 1 radian = 180°/π

⇒ 1 radian = 57.296°

Only 12 hours are represented by one full rotation of the hour hand. A whole rotation equals 360°, or two radians.

11 hours rotation equals to 330°, or 11π/6 radians.

23 hours=12+11

=360°+330° (or) 2π+11π/6

=690° (or) 23π/6

Now, 6 hours=12/2

=360°/2 (or) 2π/2

=180° (or) π.

Therefore, the radians will the hour hand on a clock rotation for 23hr and 6hr is 23/6π and π.

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The total cost of the books will be €3276.

It should be noted the school bought 234 books at €14 each.

Therefore, the total cost of the books will be:

= Price × Total books

= €14 × 234

= €3276

Therefore, the total cost of the books will be €3276.

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Answer: 37.98 (I assume you mean times)

Step-by-step explanation:

Calculator :)

we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.

We are given an expression:

( 2 x + 3 ) / 3 + ( x - 4 )/ 4

We need to simplify it and write it as an equation.

Taking the LCM, we get that:

4( 2 x + 3) + 3 (x - 4) / 12

simplifying brackets, we get that,

8 x + 12 + 3 x - 12 / 12

Combining the like terms, we get that:

8 x + 3 x / 12

11 x / 12

Therefore, we get that the expression ( 2 x + 3 ) / 3 + ( x - 4 ) / 4 can be written as an equation as 11 x / 12.

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Answer:

4 and 3

Step-by-step explanation:

You can create an equation with this. If your first number is y and your second is x, then we know that y is 5 less than 2x. This leads to your equation - y = 2x - 5.

With your equation, you can then figure out your numbers; we know there's a limited number of possibilities - anything 7 or less added to a number can equal 7 so:

7+0=7

6+1=7

5+2=7

4+3=7

3+4=7

2+5=7

1+6=7

0+7=7

From there, plug in one number for x and see if y matches the expected number. For example:

2(7)-5=9, so we know the 7,0 combination cannot be correct. As we go through the list, we find that 4,3 works:

2(4)-5=3

the region of space between the parallel planes x = 0

and x = 5

0 < x < 5

A direction or plane traveling past a specific place is considered to be vertical in astronomy, geography, and other relevant fields and settings if it contains the local gravity direction at that location. On the other hand, if a direction or plane is perpendicular to the vertical direction, it is said to be horizontal. The y-axis in the Cartesian coordinate system is an example of something that can generally be drawn from up to down (or down to up). The word vertical is derived from the late Latin verticalis, which is from the same root as vertex and means "highest point" or more literally the "turning point" such as in a whirlpool.

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Based on the information given, the value of x is 4

A line segment can be defined as the part of a straight line bounded by two distinct end points, and also contains every point on the line that is between its endpoints.

From the information given, we have PQ and RS are on the the same line with points Q and R as the line segments

We have that;

9x - 7 = 29

collect  like terms

9x = 29 + 7

9x = 36

Make 'x' the subject

x = 36/ 9

x  = 4

Thus, the value of x is 4

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