y = c1 cos(3x) + c2 sin(3x) is a two-parameter family of solutions of the second-order DE y'' + 9y = 0. If possible, find a solution of the differential equation that satisfies the given side conditions. The conditions specified at two different points are called boundary conditions. (If not possible, enter IMPOSSIBLE.)

Answer:

h = S - pie r ^2

Step-by-step explanation:

A on edge

The equation equivalent to : S = pi r squared h is -

           h = StartFraction uppercase S over pi r squared EndFunction

We have - S = pi r squared h

We have to find which equation is same as S = pi r squared h

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is -

                                                            [tex]\pi r^{2}h[/tex]

which is same as -

                                                     pi r squared h

when written in word format.

Let Suppose -

                                                         [tex]S=\pi r^{2} h[/tex]

which can be written in terms of height [tex]h[/tex] as -

                                                          [tex]h=\frac{S}{\pi r^{2} }[/tex]

Now, if we write the above equation in word format, we get -

          h = StartFraction uppercase S over pi r squared EndFunction

Therefore, the equation equivalent to pi r squared h is -

         h = StartFraction uppercase S over pi r squared EndFunction

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Answer:

Step-by-step explanation:

If we let r and g represent the costs of a ribeye steak dinner and grilled salmon dinner, respectively, the sales figures give rise to two equations.

  17r +15g = 553.74

  22r +5g = 582.65

If we multiply the second equation by 3 and subtract the first, we have ...

  3(22r +5g) -(17r +15g) = 3(582.65) -(553.74)

  49r = 1194.21

  r = 1194.21/49 ≈ 24.37

  g = (553.74 -17r)/15 ≈ 9.30

The steak dinner costs $24.37; the salmon dinner costs $9.30.

_____

Check

17(24.37) +15(9.30) = 553.79 . . . not 553.74

22(24.37) +5(9.30) = 582.64 . . . not 582.65

There is no exact solution to this problem.

Answer:

R=cost of rib-eye dinner; S=cost of salmon dinner

24R+10S=$580.66

10S=$580.66-24R

20S=$1161.32-48R Use this to substitute for 20S below

17R+20S=$590.81 . Substitute for 20S.

17R+($1161.32-48R)=$590.81

-31R=-$570.51

R=$18.40

ANSWER 1: Rib-eye dinner costs $18.40.

Step-by-step explanation:

24R+10S=$580.66

24($18.40)+10S=$580.66

$441.60+10S=$580.66 441.69

10S=$139.06

S=$13.91

ANSWER 2: A salmon dinner costs $13.91.

CHECK:

17R+20S=$590.81

17($18.40)+20($13.91)=$590.81

Answer:

tax = 5.12

Step-by-step explanation:

given:

tax rate = 8.25 = 8.25/100 = .0825

meal cost = $62

find:

what is the amount of sales tax they had to pay

tax = $62 x 0.0825

tax = 5.12

Answer:

yes

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

Step 1: Distribute 1st equation

3x + 3x + 3y

Step 2: Combine like terms

6x + 3y

Step 3: Distribute 2nd equation

3x + 3x + 3y

Step 4: Combine like terms

6x + 3y

We see here that 6x + 3y = 6x + 3y. Therefore, they are equivalent.

Answer:

Pointillism

Step-by-step explanation:

Answer:

D because thee are 5 even numbers

The probability of the spinner stopping on an even number will be equal to 5/10.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

The total number on the spinner is 10

The total even number on the spinner is 5.

The probability of the spinner stopping on an even number = 5/10

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Answer:a) it will cost him $4.13 rounded

B)about 36

C)$ 0.19 (rounded) per potato

The Peters will cost to buy 22 potatoes is$4.13 , Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Given that

8 potatoes cost $1.50

8 potatoes ⇔ $1.50

1 potato ⇔ $(1.50/8)

a) →

22 potatoes will cost 22 ×  $(1.50/8) = $4.13

b) →

8 potatoes ⇔ $1.50

$1 ⇔ 5.33 photos

By multiply 7

$7 ⇔ 37.33

Si Fernando can buy 37 potatoes.

c) →

1 potato ⇔ $(1.50/8)

1 potato ⇔ $0.1875

Hence "The Peters will cost to buy 22 potatoes is $4.13, Fernando can buy 37 potatoes for $7 and the unit cost per potato is  $0.1875".

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Answer:

x=2

Step-by-step explanation:

subtract 3 from both sides

5-3=2

x=2

Answer:

x=2

Step-by-step explanation:

Move all terms not containing  

x

to the right side of the equation.

Answer:

C

Step-by-step explanation:

3 divided by 2 = 1 and 1/2

Answer:

981/100

Step-by-step explanation

step: 9.81= 9.81/1

step 2 multiply both too and bottom by 10

9.81/1 = (9.81*100)/(1*100)= 981/100

thus 981/100 is also equal to 9 81/100

Answer:

A:150

B: 360 if all before are wrong

Answer:

A 150

Step-by-step explanation:

B- 360 if all before are wrong

Answer:

it will be 1 not -15 or -1 because thats in the left

Answer:

30

Step-by-step explanation:

He took 5 pieces.

His children took 5 * 5 pieces = 25

The total is 5 + 25 = 30.

Answer:

cosA = 5/13

cosB = 12/13

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 10/26

cosB = 24/26

Answer: angle ITU = 145 degrees

===============================================

Explanation:

Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

20+12x+1 = 13x+9

12x+21 = 13x+9

21-9 = 13x-12x

12 = x

x = 12

Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

----------

As a side note,

angle STU = 13x+9 = 13(12)+9 = 165 degrees

This is confirmed with

(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

Answer:

less than

Step-by-step explanation:

2 tens = 20

3 tenths = .3

1 thousandth = .001

put it together = 20.301

20.301 < 20.31

less than

Answer: I think the coefficient is -x

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression. Or in other words, the number being multiplied with the variable. For example, the 4 in 4x.

The expression is -x-10. If we go back to the definition, the coefficient combined to the variable is -1.

A variable like the 'x' in this expression can also be written as 1x.

So the answer is -1.

Hope it helps!

Answer:

[tex]8+24j[/tex]

Step-by-step explanation:

[tex]4(2+6j)[/tex]

Apply the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]

Thus,

[tex]4* \:2+4* \:6j[/tex]

[tex]8+24j[/tex]

Answer:

24j + 8

Step-by-step explanation:

multiply 2 and 6j with 4

Answer:

8 lbs 5 oz

Step-by-step explanation:

When you add 3 lbs, 2 lbs, and 2 lbs you get 7 lbs.

There are 16 oz in a lb. When you add the number of oz you get 21 oz which is the same as 1 lb and 5 oz.

you then add 7 lbs to 1 lb and 5 oz and get 8 lbs and 5 oz.

Answer:

1

Step-by-step explanation:

The number is

1 x 5 = 5

5 + 1 = 6

Answer:

The number is 1

Step-by-step explanation:

5x + 1 = 6

6 minus 1 = 5

1 minus 1 = 0

5x = 5

x = 1  

hopefully this helps you :)

pls mark me brainlest ;)

Answer: x < -4

ervrdbtyunbyjthdrggvghbdxfgchvj

Answer:

x>-4

Step-by-step explanation:

-5-3x>2(10+2x) +3

-5-3x>20+4x+3

-5-3x>4x+23

-5>7x+23

-28>7x

-4>x

Answer:

2h30m

Step-by-step explanation:

Assuming they each do half, Julie would take 1 hour and John would take 1 hour 30 minutes, and combined would therefore be 2h30m.

Answer:

60

x^3

Step-by-step explanation:

3x^-4 (8x + 12x)

apply exponential rule:

= 3 * 1/x^4 *(8x + 12x)

add similar elements

= 3 * 20 * (1/x^4) x

multiply fractions:

= 1 * 3 * 20x

        x^4

simplify:

= 60x

    x^4

finally = 60

             x^3

Collect like terms

3x^-4×(8x+12x)

=3x^-4 * 20x

=60x^-3

=60 * 1/x^3

[tex] \frac{60}{ x {}^{3} } [/tex]

Answer:

171

Step-by-step explanation:

I divided 340 first and got 170 for each page number then I had 3 left over.

I added 1 to 170 and got 171 the I added the left over 2 to the other 170 and got 172.

So the first page number should be 171 :)

I hope this helped you understand :)

The number of page that comes first is 171.

It is given that in a book two pages that face each other have sum of 343 of their page numbers.

We have to find out what will be the number of page that comes first.

What will be the value of x , if x + (x + 2 ) = 18 ?

The value of x will be equal to ; 2x + 2 = 18 or 2x = 16 or x = 16 ÷ 2 or x = 8.

As per the question ,

In a book sum of two pages that face each other = 343

Let's assume that the page which comes first will be have page number x.

So,

x + (x + 1) = 343

2x + 1 = 343

2x = 342

x = 342 ÷ 2

x = 171

The other page will have number :

= x + 1

= 171 + 1

= 172

Thus , the number of page that comes first is 171.

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Answer:

she must sell 31 aprons

The number of aprons Joni must she sell next month if she wants to earn at least $1,000 is 31.

In order to determine the number of aprons that Joni should sell in order to make at least $1000 next month, we would dived the total amount Joni hopes to make by the unit cost of an apron.

Number of aprons to sell = Amount Joni hopes to earn / unit cost of an apron.

$1000 / $32.50 = 30.77

Rounding off to the nearest whole number, the number of aprons that Joni should sell is 31.

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Answer:

6000

Step-by-step explanation:

If it is one hundredth than multiply by 100 to get 6000