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kolezko [41]
3 years ago
6

SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!

Mathematics
1 answer:
stiv31 [10]3 years ago
6 0

ANSWER

a=-2, b=3

EXPLANATION

The given equation is

(a {x}^{2})( - 6 {x}^{b}  ) = 12 {x}^{5}

Recall that:

{a}^{m}  \times  {a}^{n}  =  {a}^{m + n}

We simplify the left hand side to get:

- 6a {x}^{2 + b}  = 12 {x}^{5}

For this equation to be true, we must have:

-6a=12 and 2+b=5

This implies that,

a=-2 and b=3

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If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

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

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
What is the area of 4 10 20
Gnoma [55]
Just multiply the base times height times width which would give you 800
5 0
3 years ago
The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : \mu=60,000\text{ miles}

Standard deviation : \sigma=1000\text{ miles}

The formula for z-score is given by  : -

z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0
3 years ago
-12.405 as a mixed number in simplest form please
scZoUnD [109]

\\ \ast\sf\longmapsto -12.405

\\ \ast\sf\longmapsto -\dfrac{12405}{1000}

  • Simplify until possible

\\ \ast\sf\longmapsto -\dfrac{2481}{200}

Now

\\ \ast\sf\longmapsto -12\dfrac{81}{200}

7 0
3 years ago
Evaluate (3x-y)/(3(x-y)) if x = 5 and y = 3. *
mel-nik [20]

Answer:

2

Step-by-step explanation:

Write the equation

\frac{3x-y}{3(x-y)}

Add the variables

\frac{3(5)-3}{3(5-3)}

Multiply 3 x 5

\frac{15-3}{3(5-3)}

Subtract the parentheses

\frac{15-3}{3(2)}

Subtract the numerator

\frac{12}{3(2)}

Reduce the fraction with 3

\frac{12}{3(2)} = \frac{4}{2}

Reduce the fraction again with 2

\frac{4}{2} = 2

And there's your answer of 2!

5 0
4 years ago
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