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2 years ago

Which number is written in scientific notation? 7.8 x 10−5 0.84 x 106 3.4 x 1002 −5 x 10−12

Mathematics

2 answers:

Tpy6a [65]2 years ago

6 0

7.8x10-5 is the answer

olchik [2.2K]2 years ago

3 0

Hello there,

First off what is scientific notation?

Scientific Notation is the way that scientist handle very large or very small numbers..
for example, instead of writing 0.0000000056 we write 5.6x10 (exponent -9)

So, now we got that out the way lets look up here at the choices....

I would say that 7.8x10 (exponent -5) would be the answer! :)

I hoped this helped!!!! :)))

God bless you.

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◆ Quadratic Equations ◆ Please help !

Mila [183]

I'm sure there's an easier way of solving it than the way I did, but I'm not sure what it could be. Never dealt with a problem like this before.

Anyway, I just plugged in and tested. Chose random values for a, b, c, and d, which follow the rule 0 < a < b < c < d:

a = 1
b = 2
c = 3
d = 4

$\sf ax^2+(1-a(b+c))x+abc-d)$

$\sf 1x^2+(1-1(2+3))x+(1)(2)(3)-(4))$

Simplify into standard form:

$\sf x^2+(1-1(5))x+6-4$

$\sf x^2+(1-5)x+2$

$\sf x^2-4x+2$

Use the quadratic formula to solve:

$\sf x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

For functions in the form of $\sf ax^2+bx+c$ . So in this case:

a = 1
b = -4
c = 2

Plug them in:

$\sf x=\dfrac{4\pm\sqrt{(-4)^2-4(1)(2)}}{2(1)}$

Solve for 'x':

$\sf x=\dfrac{4\pm\sqrt{16-8}}{2}$

$\sf x=\dfrac{4\pm\sqrt{8}}{2}$

$\sf x\approx\dfrac{4\pm 2.83}{2}$

$\sf x\approx 0.59,3.41$

So the answer would be A.

3 0

3 years ago

The base diameter and the height of a cone are both equal to x units. Which v expression represents the volume of the cone, in c

vesna_86 [32]

Answer:

1/12piX^3

Step-by-step explanation:

5 0

2 years ago

Find each rate and unit rate. A. 420 miles in 7 hours. B 360 customers in 30 days. C 40 meters in 16 sec. part d $7.96 for 5 pou

shtirl [24]

a. 60 miles/1 hour because 420/7

b. 12 customers/1 day because 360/30

c. 2.5 meters/1 sec because 40/16

d. $1.59/1 lb because 7.96/5

3 0

3 years ago

Read 2 more answers

Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.

Rufina [12.5K]

Answer: k = -1 +/- √769

Step-by-step explanation:

48x - ky = 11

-48x -48x

-ky = -48x + 11

$\frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}$

$y =\frac{48x}{k} - \frac{11}{k}$

Slope: $\frac{48}{k}$

*************************************************************************

(k + 2)x + 16y = -19

- (k + 2)x -(k + 2)x

16y = -(k + 2)x - 19

$\frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}$

$y = -\frac{(k + 2)x}{16} - \frac{19}{16}$

Slope: $-\frac{(k + 2)}{16}$

**********************************************************************************

$\frac{48}{k}$ and $-\frac{(k + 2)}{16}$ are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.

$-\frac{(k + 2)}{16}$ * $\frac{k}{48}$ = -1

$\frac{(k + 2)k}{16(48)}$ = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769

5 0

3 years ago

PLEASE HELP FAST!!

sertanlavr [38]

Answer:

104

Step-by-step explanation:

15 x 14= 210 divide by 2

105

180 - 105 = 75

15 + 14 + 75 = 104

5 0

2 years ago