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frutty [35]
3 years ago
15

Please someone help me! ASAP

Mathematics
1 answer:
Anarel [89]3 years ago
8 0

Answer:

103

Step-by-step explanation:

the line is 180 degree angle also know as a straight angle if you take the 40 and the 33 away from 180 you are left with 103 and that is angle a

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If F(x) = f(x)g(x), where f and g have derivatives of all orders
user100 [1]

a. By the product rule,

F=fg\implies F'=f'g+fg'

\implies F''=(f''g+f'g')+(f'g'+fg'')=f''g+2f'g'+fg''

b. By the same rule,

F'''=(f'''g+f''g')+2(f''g'+f'g'')+(f'g''+fg''')

F'''=f'''g+3f''g'+3f'g''+fg'''

and

F^{(4)}=(f^{(4)}g+f'''g')+3(f'''g'+f''g'')+3(f''g''+f'g''')+(f'g'''+fg^{(4)})

F^{(4)}=f^{(4)}g+4f'''g'+6f''g''+4f'g'''+fg^{(4)}

c. You might recognize the coefficients as those that appear in the expansion of (a+b)^n:

1, 1

1, 2, 1

1, 3, 3, 1

1, 4, 6, 4, 1

and so on; the general pattern (known as the general Leibniz rule) is

F^{(n)}=\displaystyle\sum_{k=0}^n\binom nkf^{(n-k)}g^{(k)}

6 0
3 years ago
Solve for h. -3(3h – 1) ≤ -7h – 5
bezimeni [28]
-3(3h-1)<span>≤-7h-5
-9h+3</span><span>≤-7h-5
-9h+7h</span><span>≤-5-3
-2h</span><span>≤-8
h</span><span><span>≥</span>4
</span>Sign changes because you multiply with negative both sides.
6 0
3 years ago
Which of the following is an example of an ordered pair: * M
prisoha [69]

Answer: B

Step-by-step explanation:

An ordered pair is another way of saying “point” or “coordinate”. Knowing that, we know A and C are expression and equation, respectively. We are left with B and D. We know that B is the correct answer because that is the proper way to write an ordered pair, or coordinate. Therefore, B is the answer.

7 0
3 years ago
Alex is building a rectangle fence around his yard. the total perimeter of the fence is 68 feet and the area of his yard is 240
Alisiya [41]

Let's call the length of the rectangular fence l and the width of the rectangular fence w.


Based on the information in the problem, we can make two equations, based on the formulas for perimeter and area:

A = lw

P = 2l + 2w


Now, let's substitute in the values we are given in the problem:

240 = lw

68 = 2l + 2w


Now, let's solve the system using substitution.

240 = lw \Rightarrow \dfrac{240}{w} = l

  • Solve for l from the first equation

68 = 2\Bigg( \dfrac{240}{w} \Bigg) + 2w

  • Substitute this value into the second equation

68 = \dfrac{480}{w} + 2w

  • Simplify

68w = 480 + 2w^2

  • Multiply both sides of the equation by w

2w^2 - 68w + 480 = 0

  • Subtract 68w from both sides of the equation

(2w - 48)(w - 10) = 0

  • Factor

2w - 48 = 0 and w - 10 = 0

  • Use the Zero Product Property and solve both factors

2w - 48 = 0 \Rightarrow 2w = 48 \Rightarrow w = 24

w - 10 = 0 \Rightarrow w = 10


We are given two possible lengths. However, the funny thing is that both produce the same dimensions: 24 ft by 10 ft:

w = 24 \Rightarrow 240 = l(24) \Rightarrow l = 10

w = 10 \Rightarrow 240 = l(10) \Rightarrow l = 24


Thus, our answer is Choice C, or 10 feet by 24 feet.

4 0
3 years ago
Evaluate: 2(6+4) – 3(5)
zmey [24]

Answer:5

Step-by-step explanation:

Add 6 and 4

2*10-3*5

Multiply 2 by 10

20-3*5

Multiply -3 by 5

20-15

Subtract 15 from 20

5

6 0
3 years ago
Read 2 more answers
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