For this exponential function what is the output value (y) when the input value (x) is 0?

If y = A sin(x) + B cos(x), then

y' = A cos(x) - B sin(x)

y'' = -A sin(x) - B cos(x)

Substitute these into the ODE:

4y'' + y' + 5y = 2 cos(x)

4 (-A sin(x) - B cos(x)) + (A cos(x) - B sin(x)) + 5(A sin(x) + B cos(x)) = 2 cos(x)

(-4A - B + 5A) sin(x) + (-4B + A + 5B) cos(x) = 2 cos(x)

(A - B) sin(x) + (A + B) cos(x) = 2 cos(x)

Then

A - B = 0

A + B = 2

Adding these equation gives

(A - B) + (A + B) = 0 + 2

2A = 2

A = 1   →   B = 1

Answer:

she would be spening over a thousand dollars

Step-by-step explanation:

Asnwer:

10,920$

Step-by-step explanation:

So if 3.00$ is for one pack and she wants 7 packs then it would be 21$.

But if we also multiply it by 52 weeks then that would be 1,092$.

Then if she's buying that for 10 years then we multiply 10 x 1,092$ which would equal 10,920$

(I'm not completely sure if I did the math right but I'm 90% sure I did because that's what the question is asking.)

Answer:

x = 15/27

Step-by-step explanation:

3(2x + 7x - 5)

Distribute the 3

6x + 21x - 15

Combine like terms

27x - 15 = 0

27x = 15

x = 15/27

Answer:

27x - 15 is your expression

Step-by-step explanation:

3 x 2x = 6x and 3 x 7x = 21x so 21x + 6x = 27x and 3 x 5 = 15 so 27x - 15 is your expression

Answer:

195.6

Step-by-step explanation:

area of base= 1/2 * 8 * 6.9 = 27.6

area of lateral face= 1/2 * 8 * 14 = 56

total surface area = 27.6 + 56 + 56 + 56 = 195.6

[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]

There as we can get rid of the y-term by adding both equations.

[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

First Equation

[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Second Equation

[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]

Answer:

the answer is, {x,y} ={2,1}

Step-by-step explanation:

1) 4x - 3y = 5     2) x + 2y = 4   3) 4•(-2y+4) - 3y = 5     4) - 11y = -11                         5) 11y = 11   y = 1    6)   x = -2y+4 y = 1    7)   x = -2(1)+4 = 2 = {x,y} = {2,1} !!!

Answer: y-9x+3

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/12 = 0.25

3/8 = 0.375 este es mayor

Okaayyy

Set B has the greater mode

Answer:

42

Step-by-step explanation:

20 + 60 ÷ 5 + (9-4)2

Use PEMDAS to solve this equation, so first solve what is in the parentheses

20 + 60 ÷ 5 + (5)2

Since there are no exponents, next solve the multiplication

20 + 60 ÷ 5 + 10

Next is division

20 + 12 + 10

Finally, addition

42

Answer:

4

Step-by-step explanation:

combine like terms 15r-6r=9

9=36

divide both sides by 9

=4

Answer:Mark

Step-by-step explanation:Diva

Answer:

Samantha and Candice

Step-by-step explanation:

In the question it says a scale factor of 3 which means you have to multiply all sides by 3 and when I multiply all sides by 3 ; Samantha and Candice were the correct match.

Answer:

5x^2-2x+4

Step-by-step explanation:

Subtract the x square, x, and numbers

Answer:

Answer:

9 plus ten is 19

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Actually its 19 but with extreme measures its 21

Answer:

[tex]\huge\boxed{\boxed{\mathcal{C)x=13.25}}}[/tex]

Step-by-step explanation:

[tex] step - 1 : define[/tex]

[tex]\text{according to the question}[/tex]

[tex] \sf5x - 22 = x + 31[/tex]

[tex] step - 2 : solve[/tex]

If MO bisects <LMN then m<LMN=2m<LMO

[tex]\\ \sf\longmapsto 5x-22=2(x+31)[/tex]

[tex]\\ \sf\longmapsto 5x-22=2x+62[/tex]

[tex]\\ \sf\longmapsto 5x-2x=62+22[/tex]

[tex]\\ \sf\longmapsto 3x=84[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{84}{3}[/tex]

[tex]\\ \sf\longmapsto x=28[/tex]

Answer:

372 miles

Step-by-step explanation:

brainliest please

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

Answer:

3.

Step-by-step explanation:

Divide the day price by the week and round down.

You get like 3.45, so 3.

hope this helps :)

Step-by-step explanation:

Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work

Answer:

first one is -6 and +6

Step-by-step explanation:

Answer: x-1/8y^2=0

Hope this helps any !

Answer:

6

Step-by-step explanation:

The absolute value of -2 is 2 because that is it's distance from 0 on a number line.

Then do the math. 2 + 4 = 6

Answer: 6X HOPE THIS HELPS!

| − 2 | + | 4 |

|-2|+|4|

∣−2∣+∣4∣

Solve

1

Find the absolute value

| − 2  + | 4 |

2 +| 4 | 2

Find the absolute value  

Add the numbers

Solution

6

Step-by-step explanation:

Answer:

You need to first multiply the area of the whole square then multiply the little squares and subtract, the small square too

Step-by-step explanation:

ok?

Answer:

how can you love someone when you dont know them?????

Step-by-step explanation:

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]

[tex]x = 25\,mangoes[/tex]

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]

[tex]x = 33.333\,mangoes[/tex]

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]

[tex]x = 41.667\,mangoes[/tex]

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]

[tex]x = 50\,mangoes[/tex]

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

Answer:

I think that the answer is m= -5/4

Answer:

a) The warmest temperature will be the one where the value of the temperature is the largest, in the table we can see that the largest temperature is 3°C on Saturday.

Then the largest temperature was on Saturday, and it was 3°C

b) Which temperature was the coldest?

Now we need to look at the smallest temperature (or the largest negative temperature). In the table we can see that the smallest temperature is -6°C on Friday.

Then the smallest temperature is -6°C.

c) On Thursday the temperature was -1°C

On Saturday the temperature was 3°C

The difference between the temperatures is:

-1°C - (3°C) = -4°C

This means that Thursday was -4°C colder than on Saturday.

d) On Sunday, the temperature was 5°C lower than on Saturday.

On Saturday the temperature was 3°C, then the temperature on Sunday is:

T = 3°C - 5°C = -2°C

The temperature on Sunday is -3°C.

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280