Ask question

Ask question

All categories

2 years ago

7

Which list is in order from least to greatest? 1.94 x 10 1.25x 10.6x109.8.1 x 10 O 1.25x 10-2 194 106x10 8.1 x 10 O 1.25x 10-2

, 1.94 x 10.8.1 x 10^. 8x 10 1.94 x 104, 1.25x 10-2.8.1 x 10*. 6x 10*

1 answer:

pickupchik [31]2 years ago

5 0

Answer:

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

Step-by-step explanation:

Given

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

$(b)\ 1.94 * 10 ^{-5},\ \ 6 * 10^4, \ \ 8.1 *10^{4},\ \ 1.25 *10 ^{-2}$

$(c)\ 1.94 * 10 ^{-5}, \ \ 8.1 *10^{4},\ \ 6 * 10^4,\ \ 1.25 *10 ^{-2}$

$(d)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2}, \ \ 8.1 *10^{4},\ \ 6 * 10^4$

Required

Which list is in ascending order

To do this, we analyze each of the options 1 after the other.

$(a)\ 1.94 * 10 ^{-5},\ \ 1.25 *10 ^{-2},\ \ 6 *10 ^{4},\ \ 8.1 *10^{4}$

Convert each list item to decimal

$1.94 * 10 ^-5 = 0.0000194$

$1.25 *10 ^-2 = 0.0125$

$6 *10^{4} = 60000$

$8.1 *10^{4} = 81000$

The list is in ascending order because:

$0.0000194 < 0.0125 < 60000 < 81000$

<em>No need to test other options</em>

You might be interested in

Dimas [21]

Answer:

the angle that has the same measure as /2 is A

8 0

1 year ago

Read 2 more answers

Rosa wrote a pattern using the rule subtract 7 the first two number in her pattern were 83 and 76

KIM [24]

83, 76, 69, 62, 55, 48, 41, 34

3 0

2 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st

Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___ and tan(θ) =___.

Answer:

$Sin\theta = \frac{-15}{17}$

$Tan\theta = \frac{15}{8}$

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

$cos(\theta) = \frac{Adj}{Hyp}$

Where Adj and Hyp represent Adjacent and Hypotenuse

$cos(\theta) = \frac{-8}{17}$

By comparison

$Adj = -8\ and\ Hyp = 17$

Using Pythagoras

$Hyp^2 = Adj^2 + Opp^2$

By Substitution

$17^2 = (-8)^2 + Opp^2$

$289 = 64 + Opp^2$

Subtract 64 from both sides

$289 - 64 = 64 - 64 + Opp^2$

$225 = Opp^2$

Take square roots of both sides

$\sqrt{225} = \sqrt{Opp^2}$

$\sqrt{225} = Opp$

$15 = Opp$

$Opp = 15$

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

$Opp = -15$

From trigonometry

$Sin\theta = \frac{Opp}{Hyp}$

$Sin\theta = \frac{-15}{17}$

Also from trigonometry

$Tan\theta = Sin\theta / Cos\theta$

$Tan\theta = \frac{-15}{17} / \frac{-8}{17}$

$Tan\theta = \frac{-15}{17} * \frac{-17}{8}$

$Tan\theta = \frac{-15 * -17}{17 * 8}$

$Tan\theta = \frac{15 * 17}{17 * 8}$

$Tan\theta = \frac{15}{8}$

5 0

2 years ago

Please help meeeeeeeeeeeee

RUDIKE [14]

Answer:

The pumpkin gained 33 pounds each week.

Step-by-step explanation:

8 0

2 years ago

Line segment AB is divided by point C in the ratio of 3:2. Point A is at (-4, -3) and point C is at (0.2, 1.2). Find the coordin

RideAnS [48]

Answer: okay i found it. it should be on the picture.

Step-by-step explanation:

4 0

2 years ago