Please help me lol ......................

Answer:

Cos(a - b) = 0.959

Step-by-step explanation:

We know that:

Sin(a) = 4/5

Such that a is on the first quadrant (between 0° and 90°)

then:

Sin(a) = 4/5

Asin(sin(a)) = Asin(4/5)

a = Asin(4/5) = 53.13°

And:

Cos(b) = 2/5

Then:

Acos(Cos(b)) = Acos(2/5)

b = Acos(2/5) = 36.67°

Then:

Cos(a - b)

where:

a = 53.13° and b = 36.67°

Then:

Cos(a - b) = Cos(53.13° - 36.67°) = 0.959

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Answer:

The answer would be 28

Step-by-step explanation:

You would plug 8 in where k is and 2 where j is

so (8)3 - 4(2) +12

answer is 28

Answer:

Both of them are NOT equivalent.

Step-by-step explanation:

Use the distributive property to see if 5(x - 1) and 5x - 1 were equivalent.

5(x - 1)

= 5x - 5

This tells us 5(x - 1) is not equivalent to 5x - 1.

Answer:

a. Is the answer..

Let's solve for y.

y=−x+3

Answer:

y = −x + 3 = y = −x + 3

Hence f(x) = -x + 3 is equivalent to y = −x + 3

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

Step-by-step explanation:

vertex and focus are horizontally aligned, so parabola is horizontal.

focal length p = distance between focus and vertex = 0.25

focus lies to the left of vertex, so the parabola opens to the left.

x = a(y-k)² + h,

vertex (h,k)

a = -1/(4p)

vertex (-6,5)

h = -6

k = 5

p = 0.25

a = -1/(4·0.25) = -1

x = -(y-5)² - 6

Answer:

False

Step-by-step explanation:

4/2 = 2/1 = 2

And 2 ≠ 1

Hence, 4/2 ≠ 1

Hope it helps :)

Answer:

no .

Step-by-step explanation:

4/2 is equivalent to 2 , if it were 2/2 then it would be yes .

Answer:

I love cookies

Step-by-step explanation:

Answer:

90%

Step-by-step explanation:

1 batch would be the same as 100%

So, 100%-10%=90%

Hope I helped you!!!!!

Answer:

Step-by-step explanation:

30% of 90 = 27

To explain this in a simple way we can check the work

10% of 90 = 9

9 x 3 = 27

Answer:

Step-by-step explanation:

increase ≤ 55-43.5

increase ≤ 11.5

Elanor can increase her speed by 11.5 miles per hour.

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

The value of the expression 3 + 5³ × 5 + 1 will be 629.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.

The sum of three and five to the third power times five plus one will be written mathematically and will be

⇒ 3 + 5³ × 5 + 1

Simplify the expression, then the value of the expression will be

⇒ 3 + 125 × 5 + 1

⇒ 3 + 625 + 1

⇒ 629

The value of the expression 3 + 5³ × 5 + 1 will be 629.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer: 240

Step-by-step explanation:

Suppose in a math class of 22 students, 14 are boys and 8 are girls. ... for a girl you have a 8 out of 22 students chance....for an A you have an additional ... 8/22+4/22 = 12/22 = 6/11. for a boy there is a 14 out of 22 chance of being a boy and an ... 14/22 + 6/22 = 20/22= 10/11 ... How to display latex properly

Answer:

the answer is 0.073

Step-by-step explanation:

0.657/9= 0.073

Answer:

you got it!

Step-by-step explanation:

Answer:

You did do it correct!

For questions 21 and 22 is their a certain way you have to fill in the missing numbers?

I would do...

21. 2 and 5

22. 10 and 10

I am not sure though if there is a correct way to answer those two questions.

Step-by-step explanation:

Answer:

you are right

Step-by-step explanation:

Use the law of law of cos

c^2=a^2+b^2﹣2abcos√angle

(2√13)^2=52=4+36-24cos(a)

cos(a) = -12/24 =  -1/2

a = 120 degrees

so yes, you are right

Answer: Jenny would have to work 5 hours to get $85

Step-by-step explanation:

Jenny makes $17 an hour (221/13 = 17) and 85/17 is 5

it is oxygen no doubt about it

Answer:

Help her around the house.

Step-by-step explanation:

If shes like nice sometimes, then go hug her or give her some water.

Answer:

Step-by-step explanation:

Answer:

8,9,10

Step-by-step explanation:

Answer: 6 2/3 pounds.

Step-by-step explanation:

Answer:

6 2/3 pounds

Step-by-step explanation:

Answer:

the radius is 9 and the diameter is 18