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hjlf
2 years ago
9

Derivative of (4e)^x

Mathematics
1 answer:
love history [14]2 years ago
6 0

we are given the expression (4e) ^x and is asked to derive the expression. we distribute first the equations resulting to 4^x e^x = y. using the rule of products,
y = 4^x e^xy' =  4^x ln 4 e^x + 4^x e^x
The final answer is y' =  4^x ln 4 e^x + 4^x e^x
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MAVERICK [17]
6 inches of yarn make 1 bracelet.

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1 foot = 12 inches
5 feet = 12 * 5 inches = 60 inches

6 inches of yarn make 1 bracelet
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6/1 = 60/x

Cross multiply

6x = 60

x = 10

60 inches yarn make 10 bracelets.
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Which expression is equivalent to -11 - (-7)?
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∆ABC is an isosceles triangle. The length of CB is 12 feet 4 inches and the congruent sides are
son4ous [18]

Answer:

Answer for 2nd is option c, for 3rd is option d, for 4th is option e

Step-by-step explanation:

As we know 1 ft.=12 in.

  1. In ΔABC

   ∴ The congruent sides are AB and AC respectively

  • CB =12 ft. 4 in.=148 in.
  • AB=\frac{3}{4}CB =111 in. =9 ft. 3 in.
  • AC=\frac{3}{4}CB =111 in. =9 ft. 3 in.

    ∵  <em>Perimeter of ΔABC</em> =AB+AC+CB

                                        =9 ft. 3 in. + 9 ft. 3 in. +12 ft. 4 in.

                                        =30 ft. 10 in.

    2. In ΔDEF

    ∴ The congruent sides are DE and DF respectively

  • DE =  6 ft. 3 in. =75 in.
  • DF =  6 ft. 3 in. =75 in.
  • Let the length of FE is equal to x
  • 0.75FE =DE =DF
  • 0.75x = 6 ft. 3 in. =75 in.
  • x =100 in. =8 ft. 4 in.

   ∵ <em>Perimeter of ΔDEF</em> =DE+DF+FE

                                        = 6 ft. 3 in. +6 ft. 3 in. +8 ft. 4 in.

                                        = 20 ft. 10 in.

    3. In ΔJKL

    ∴ The congruent sides are JL and KL respectively

  • JK = x+3
  • KL =4x-17
  • JL  =6x-45
  • JL≅KL
  • 4x-17 =6x-45  . . . . . . . . . . . . . . . . . . . . . . . (1)
  • Subracting 4x from both sides from eq 1
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  • Adding 45 on both the sides
  • 28 =2x
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  • JK = 14+3 =17
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  • JL = 6×14-45 =39

   ∵ <em>The dimensions of the ΔJKL are 39,39 and 17.</em>

6 0
3 years ago
What is the width of a rectangle with an area of 5/8 in2 and length of 10 inches?
monitta
Area=l*w
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I don’t understand what you’re trying to find! I think it cut off. If you were talking abt the multiplication it makes 52.3
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