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4 years ago

Answer as a power of 6

Mathematics

1 answer:

Anika [276]4 years ago

6 0

Answer is 2 to the power of 6.
HOPE IT HELPED! :)

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Write a polynomial if least degree with roots 9 and -6

klio [65]

Answer:

x² -3x - 54

Step-by-step explanation:

given roots of a polynomial are 9 and -6

this means that (x-9) and (x+6) are factors of the polynomial.

To get the polynomial with the least degree, simply multiply the two factors to obtain a quadratic expression (degree 2)

(x-9) (x+6)

= x² + 6x -9x -54

= x² -3x - 54

8 0

3 years ago

If a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin(a+b).

frutty [35]

Answer:

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

Step-by-step explanation:

we are given

$sin(a)=\frac{4}{9}$

$sin(b)=\frac{2}{5}$

Firstly, we will draw triangle

we get

$cos(a)=\frac{\sqrt{65} }{9}$

$cos(b)=\frac{\sqrt{21} }{5}$

now, we can sue formula

$sin(a+b)=sin(a)cos(b)+cos(a)sin(b)$

now, we can plug values

$sin(a+b)=\frac{4}{9}\times \frac{\sqrt{21} }{5}+\frac{\sqrt{65} }{9}\times \frac{2}{5}$

now, we can simplify it

$sin(a+b)=\frac{4\sqrt{21}+2\sqrt{65}}{45}$

6 0

3 years ago

What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words pe

mihalych1998 [28]

The probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute is 0.4582.

Given that the population mean, $\mu$ = 90 wpm

The standard deviation of the population , $\sigma$ = 10

Sample size, n = 12

Sample mean, $\bar x$ = 95

The reading rate of students follows the normal distribution.

Let z = $\frac{\bar x - \mu}{\frac{\sigma}{\sqrt n} }$

= $\frac{95 - 90}{\frac{10}{\sqrt 12} }$

= 1.732

Probability that the mean reading exceeds 95 wpm = P( $\bar x$ >95)

= P(z>1.732)

= 1- P(z<1.732)

= 0.4582

[The value 0.4582 found from the area under the normal curve using tables].

Learn more about Normal Distribution at brainly.com/question/27701525

#SPJ4

6 0

2 years ago

A 6th grade student can complete 20 multiplication facts in 1 minute. If he works at the same rate, how long should it take him

Yakvenalex [24]

The key concept you must have to remember is that, the rate is kept constant, as what is specified in the problem. Our basis for the rate is the first situation.

Rate = 20 facts/ 1 min.

Let's equate this to the second situation using x as the time unknown.

20/1 = 35/x
Solving for x,
<em>x = 1.75 minutes</em>

3 0

3 years ago

Suppose the population of deer in a state is 1,500 and is growing 2% per year. Predict the population in 4 years

Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

2% of 1500 is 30 deep per year so do 30 deep per year x 4. Then add that

Your answer is 1620 deer in four years

6 0

3 years ago

Read 2 more answers