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bija089 [108]
3 years ago
5

Find the area. Simplify your answer. 3x 5

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

15x square units

Step-by-step explanation:

3x x 5 =

15x square units

Hope that helps!

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Need help again asap please! Find the sum of the first 30 terms of the sequence below an=3n+2
hoa [83]

S_{30} = 1455

generate a few terms of the sequence using a_{n} = 3n + 2

a_{1} = ( 3 × 1) + 2 = 5

a_{2} = (3 × 2) + 2 = 8

a_{3} = (3 × 3 ) + 2 = 11

a_{4} = (3 × 4 ) + 2 = 14

a_{5} = ( 3 × 5 ) + 2 = 17

the terms are 5, 8, 11, 14, 17

these are the terms of an arithmetic sequence

sum to n terms is calculated using S_{n} = \frac{n}{2} [ 2a + (n-1)d]

where a is the first term and d the common difference

d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and a_{1} = 5

S_{30} = \frac{30}{2} [( 2 × 5) + (29 × 3) ]

= 15( 10 + 87) = 15 × 97 = 1455



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8^x=2<br> 8 to the power of x = 2. Find the value of x.
a_sh-v [17]

Answer:

\huge{ \bold{  \boxed{ \sf{x =  \frac{1}{3} }}}}

☪ First , Let's know about Exponential Equation :

⤿ Let's take an equation : \sf{ {2}^{x}  = 8}.

In this equation , the variable ' x ' is the exponent of the base 2. Such an equation in which variable appears as an exponent of a base is known as exponential equation. The following axioms are useful while solving the exponential equations :

  • If \sf{ {a}^{x}  =  {a}^{b} } , then \sf{x = b}
  • If \sf{ {a}^{x}  = 1} , then \sf{ {a}^{x}  =  {a}^{0} } and x = 0

---------------------------------------------------------------

☯ Now , Let's Solve :

\underline{ \sf{Given \: Exponential \: Equation \: :  {8}^{x}  = 2}}

In this equation , the variable 'x' is the exponent of the base 8 .Write \sf{ {8}^{x} } in exponential form with the base of 2

↦ \sf{ {2}^{3x} = 2}

Write the number 2 in exponential form with the base of 2.

↦ \sf{ {2}^{3x}  =  {2}^{1}}

Since the bases are same , cut 2 on both sides and set the exponents equal.

↦ \sf{ { \cancel{2}} \: ^{3x}  =  { \cancel{2} } \: ^{1} }

↦ \sf{3x = 1}

Divide both sides by 3

↦ \sf{ \frac{3x}{3}  =  \frac{1}{3}}

↦ \boxed{   \bold{ \sf{x =  \frac{1}{3} }}}

And we're done!

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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5 0
3 years ago
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