An ostrich that is 133 inches tall is 18 inches taller than 5 times the height of a kiwi.

Red blood cells are usually about 8 x 10 meter in diameter. What is that number written in standard notation?

jasenka [17]

Answer: 0.000008

Step-by-step explanation:

So it says 10 to the -6 power...

10*-10*-10*-10*-10*-10*-10

0.000001

Then you multiply that by 8

0.000008

Hope this helps!

8 0

2 years ago

Read 2 more answers

Describe the translation represented by the rule (x, y) → (x + 3, y – 2)?

Veronika [31]

The translation, (x, y) → (x + 3, y – 2), means that the point on the X-axis would move 3, and because it's positive, it would move to the right 3.
Y– 2 means the point on the Y-axis moves 2, and because it is negative 2 it moves down 2

3 0

3 years ago

Read 2 more answers

Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...

Strike441 [17]

Answer:

The 13th term is 81x + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

$\displaystle -3x -1, \, 4x +4, \, 11x + 9 \dots$

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference d. In other words:

$\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}$

Find the common difference by subtracting the first term from the second:

$d = (4x+4) - (-3x - 1)$

Distribute:

$d = (4x + 4) + (3x + 1)$

Combine like terms. Hence:

$d = 7x + 5$

The common difference is (7x + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

$\displaystyle x_n = a + d(n-1)$

Where a is the initial term and d is the common difference.

The initial term is (-3x - 1) and the common difference is (7x + 5). Hence:

$\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)$

To find the 13th term, let n = 13. Hence:

$\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)$

Simplify:

$\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}$

The 13th term is 81x + 59.

3 0

2 years ago

REPOST!!!!!! 20 POINTS!!!!!!

kkurt [141]

Answer:

A

Step-by-step explanation:

according to tangent property

we get

AM=BM
AN=CN
BK=CK

Given that

AM=6
BK=4

Thus our equation is

$\rm \displaystyle 2AM + 2AN + 2BK = 34$

substitute the given values

$\rm \displaystyle 2.6+ 2AN+ 2.4 = 34$

simplify multiplication:

$\rm \displaystyle 12+ 2AN+ 8 = 34$

simplify addition:

$\rm \displaystyle 2AN+ 20= 34$

cancel 20 from both sides:

$\rm \displaystyle 2AN=14$

divide both sides by 2:

$\rm \displaystyle AN=7$

AN=CN

hence,CN=7

therefore our answer is A

6 0

2 years ago

The average cost of tuition, room and board at small private liberal arts colleges is reported to be $8,500 per term, but a fina

Vlada [557]

Answer:

The test statistic for this test is 3.82.

Step-by-step explanation:

The null hypothesis is:

$H_{0} = 8500$

The alternate hypotesis is:

$H_{1} > 8500$

Our test statistic is:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

$X = 8745, \mu = 8500, \sigma = 1200, n = 350$

So

$t = \frac{8745 - 8500}{\frac{1200}{\sqrt{350}}} = 3.82$

The test statistic for this test is 3.82.

5 0

3 years ago