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Finger [1]
2 years ago
12

what is f" (pi/4) where f (x) = sin x + cos x ?? Show all your work. Write your final answer in simplest radical form.

Mathematics
1 answer:
Lynna [10]2 years ago
3 0

Answer:

-√2

Step-by-step explanation:

f(x) = sinx + cosx

f'(x) = cosx - sinx

f''(x) = -sinx - cosx

f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2

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Please help me with this. Use the combination method of substitution to solve. Please show and explain work. Thanks.
Artemon [7]

Answer:

x = 25.35 (or 2129/84) and y = 4334.04 (or 121353/28)

Step-by-step explanation:

The given equations are set up and ready to go with substitution. Simply just plug in the first equation to the second equation as both are equal to y.

Step 1: Replace y in <em>y = 87x + 2129 </em>with <em>171x</em>

171x = 87x + 2129

Step 2: Subtract 87 x on both sides

84x = 2129

Step 3: Divide both sides by 84 to get x

x = 2129/84 or 25.35 (rounded)

To get y, simply plug in x into one of the 2 original equations. In this case, I will use the first equation:

y = 171 (25.35)

y = 121353/28 or 4334.04 (rounded)

You can check your work by plugging both solutions into the calculator and see if they equal each other. The values for these answers are solely based on the equations, so if you write the <em>equations </em>wrong themselves, then that means you have the values wrong as well.

6 0
3 years ago
How many decimal places are in the product? 0. 053×2. 78.
Genrish500 [490]

Answer:

there are 4 decimal places

Step-by-step explanation:

you must solve the math

4 0
3 years ago
If a solution has 24g of sugar in 130ml of water, what is its concentration?
Jobisdone [24]

Answer: concentration = 15.58%

Step-by-step explanation:

Given: mass of sugar = 24 g = 24 ml   [ ∵ 1 g = 1 ml]

Volume of solution = Quantity of water + quantity of solute

= 130 +24 ml

= 154 ml

Concentration = \dfrac{mass\ of\ solute}{Volume\ of\ solution}\times100

=\dfrac{24}{154}\times 100\\\\\approx15.58\%

Hence, the concentration =15.58%

3 0
2 years ago
HELP 20 PPOINTS
VARVARA [1.3K]
Hᴇʏ! Hope that I can help!
To do this, we need to divide the 70 people by the 2 people per minute.
70/2=35.

Answer: 35 minutes
If you were helped by my answer, remember that I worked really hard on it. Please click the [ ♥ ᴛʜᴀɴᴋs ] button below and give me a rating of ★★★★★ to show your appreciation.
7 0
3 years ago
Read 2 more answers
Angel’s partner, Lisa, owns the remaining portion of the bakery. Write a simplified ratio to represent Angel’s ownership to Lisa
Nady [450]

Answer:

5:3

Step-by-step explanation:

7 0
3 years ago
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