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3 years ago

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Mathematics

1 answer:

dexar [7]3 years ago

8 0

Answer:

$9^{-7}, 9^{-2}$

Step-by-step explanation:

$\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}$

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

$(9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}$

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klemol [59]

I think is the correct answer

3 0

3 years ago

What is the slope of the line y=3

LenaWriter [7]

The slope intercept form of the line is:

y=mx+b, where m=slope and b=y-intercept

In this case y is equal to a constant, which is also the y-intercept and is of the form:

y=k

Note that there is no mx part to that line, so for all values of x, y=3. And the only value for m that would make mx=0 is for m=0

Since m=0, there is a slope of zero. This is just a horizontal line.

7 0

3 years ago

Cos B =<br>tan B =<br>sin B =

Oduvanchick [21]

The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).

Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse

Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse

Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.

The acronym to remember this is SOHCAHTOA

SOH | CAH | TOA

SOH means sin(x) = opposite/hypotenuse

CAH means cos(x) = adjacent/hypotenuse

TOA means tan(x)= opposite/adjacent

cosB = length of adjacent side/length of hypotenuse = 7/25

tanB = length of opposite/length of adjacent = 24/7

sinB = length of opposite/length of hypotenuse = 24/25

8 0

3 years ago

The number of siblings an individual has varies from student to student. The distribution of the number of siblings is strongly

ivanzaharov [21]

Answer:

(e) the mean number of siblings for a large number of students has a distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

By the Central Limit Theorem

The sampling distributions with a large number of students(at least 30) will be approximately normal, so the correct answer is given by option e.

7 0

3 years ago

The slope-intercept form of a linear equation is y=my+b, where x and y are coordinates of an ordered pair, m is the slope of the

harkovskaia [24]

Answer:

m=(y-b)/x

Step-by-step explanation:

In this equation if we want to find an equivalent equation for any of the letters what we need is to left that letter in one side and all the others letters in the other side

At the begining whe have y=mx+b and we need the m alone in one side

y-b=mx

(y-b)/x=m

7 0

3 years ago