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goldenfox [79]
3 years ago
11

I need to know how to solve this

Mathematics
2 answers:
Greeley [361]3 years ago
8 0
Vertical angles are congruent, so
107=3x-4
3x=111
x=111/3=37°
nydimaria [60]3 years ago
4 0
Answer: 37°

Explanation:

3x - 4 = 107
3x = 111
x = 37
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Find the Taylor series for f(x)=sin(x) centered at c=π/2.sin(x)=∑ n=0 [infinity]On what interval is the expansion valid? Give yo
agasfer [191]

Answer:

sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...

Step-by-step explanation:

given that f(x) = sin x

we have to find the Taylor series for that

f(x) = sin x   : f( = 1\\f'(x) = cos x :(f'\frac{\pi}{2})=0\\f"(x) = -sinx :f" (\frac{\pi}{2}) =-1\\f^4 (x) = -cosx : f^4 (\frac{\pi}{2}) =0

and so on.

i.e. 2nd, 4th, 6th terms would be 0

and also 1st, 5th, 9th terms would be positive for f value and 3rd, 9th,... would be negative

Using the above we can write Taylor series as

f(x) = f(a)+\frac{f'(a)}{1!} (x-\frac{\pi}{2}) +...+f^n(a) /n! (x- \frac{\pi}{2})^n+...

sinx =1-\frac{1}{2} (x-\frac{\pi}{2} )^2+\frac{1}{24} (x-\frac{\pi}{2} )^4-\frac{1}{720} (x-\frac{\pi}{2} )^6+\frac{1}{40320} (x-\frac{\pi}{2} )^8+...

This is valid for all real values of x.

x ∈(-\infty, infty)

3 0
3 years ago
The employees of a hardware store ordered lunch from a local delicatessen. The lunch consisted of 4 turkey sandwiches and 7 orde
AleksandrR [38]

Answer:

Charges of Turkey is $6.25

Charges of French Fries is $1.90

Step-by-step explanation:

Given

Represent Turkeys with T and French Fries with F;

4T + 7F = 38.3

5T + 5F = 40.75

Required

Determine the values of T and F

5T + 5F = 40.75

Divide through by 5

T + F = 8.15

Make F the subject

F = 8.15 - T

Substitute 8.15 - T for F in the first equation

4T + 7F = 38.3

4T + 7(8.15 - T) = 38.30

4T + 57.05 - 7T = 38.30

Collect Like Terms

4T  - 7T = 38.30 - 57.05

-3T = -18.75

Solve for T

T = -18.75/-3

T = 6.25

Recall that:

F = 8.15 - T

F = 8.15 - 6.25

F = 1.90

6 0
3 years ago
Please help and show work :) ​
Mila [183]

Answer:

MK = 14

Step-by-step explanation:

MK = ML + LK , substitute values

4x - 2 = 8 + x + 2

4x - 2 = x + 10 ( subtract x from both sides )

3x - 2 = 10 ( add 2 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Thus

MK  = 4x - 2 = 4(4) - 2 = 16 - 2 = 14

8 0
3 years ago
In complete sentences explain how you would factor the numeric expression 34 + 12 + 20.
Anestetic [448]

Answer:

We are asked to determine the correct factorization of the given trinomial which is 5x² - 5x -100. The solution to this problem is shown below:

5x² - 5x - 100 let the problem equal to zero such as:

5x² - 5x - 100 = 0 , factor out 5 from the given trinomial

5(x²-x-20) = 0

5 (x-5)(x+4) = 0

The correct factor is 5(x-5)(x+4).

Step-by-step explanation:

3 0
3 years ago
A reporter wants to know the percent of people who want more parks to be built. He surveys 50 people at random at a local park.
stepan [7]

option C is the best option

7 0
4 years ago
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