All categories

3 years ago

Which number is larger, 2 x 10^-3 or 3 x 10^-2? Explain.

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

7 0

Answer:

Step-by-step explanation:

$2 \times 10^{-3}=\frac{2}{10^3}=\frac{2}{1000}=0.002\\3 \times 10^{-2}=\frac{3}{10^2}=\frac{3}{100}=0.03=0.030\\0.030>0.002\\so~3 \times 10^{-2} ~is~larger~than~the~other.$

You might be interested in

Ming throws a stone off a bridge into a river below.

AURORKA [14]

Answer:

1 seconds after being thrown, the stone reaches its max height

Step-by-step explanation:

The parabolic (quadratic) equation is:

$h(x)=-5(x-1)^2+45$

Lets expand this in the form $ax^2+bx+c$ , so we have:

$h(x)=-5(x-1)^2+45\\h(x)=-5(x^2-2x+1)+45\\h(x)=-5x^2+10x-5+45\\h(x)=-5x^2+10x+40$

We can say the values of a,b, and c, now to be:

a = -5

b = 10

c = 40

The number of seconds at which the max would occur is given by the point, x, at:

$x=-\frac{b}{2a}$

We know a and b, let's find the seconds, x,

$x=-\frac{b}{2a}=-\frac{10}{2(-5)}=-\frac{10}{-10}=--1=1$

Hence,

1 seconds after being thrown, the stone reach its max height

6 0

3 years ago

Read 2 more answers

Answer and show work. 1.) 9 - t = 3 (t -5) 2.) 5 (5y + 1) =10y - 25

AlladinOne [14]

Answer:

1. 6

2. 2

Step-by-step explanation:

1. 9-t=3(t-5)

9-t=3t-15

+t +t

9=4t-15

+15 +15

24=4t

4 4

6=t

2.5(5y+1)=10y-25

25y+5=10y-25

+25 +25

25y+30=10y

-25 -25

30=-15y

15 15

2=y

6 0

3 years ago

What two numbers multiply to -126 and add up to -65

Airida [17]

Xy = -126
x + y = -65

$xy = -126$
$\frac{xy}{x} = \frac{-126}{x}$
$y = \frac{-126}{x}$

$x + y = -65$
$x + \frac{-126}{x} = -65$
$\frac{x^{2}}{x} + \frac{-126}{x} = -65$
$\frac{x^{2} - 126}{x} = -65$
$-65x = x^{2} - 126$
$0 = x^{2} + 65x - 126$
$x = \frac{-(65) \+ \sqrt{(65)^{2} - 4(1)(-126)}}{2(1)}$
$x = \frac{-65 \± \sqrt{4225 + 504}}{2}$
$x = \frac{-65 \± \sqrt{4729}}{2}$
$x = \frac{-65 \± 68.8}{2}$
$x = \frac{-65 + 68.8}{2}$ $or$ $x = \frac{-65 - 68.8}{2}$
$x = \frac{3.8}{2}$ $or$ $x = \frac{-133.8}{2}$
$x = 1.9$ $or$ $x = -66.9$

x + y = -65
  1.9 + y = -65
- 1.9   - 1.9
y = -66.9
  (x, y) = (1.9, -66.9)

or

  x + y = -65
  -66.9 + y = -65
+ 66.9 + 66.9
y = 1.9
  (x, y) = (-66.9, 1.9)

The two numbers that add up to -65 and can multiply to -126 are the numbers -66.9 and 1.9.

3 0

3 years ago

Which is a name for the angle shown? Select two answers

alexandr402 [8]

Answer:

I'm not sure how to answer is but i think its called < CDE or < EDC or it is an acute angle.

Step-by-step explanation:

7 0

3 years ago

Sophia wants to solve for the side length of b. Which equation could Sophia use to solve for the side length of b, given the

Afina-wow [57]

Answer:

b² = a² + c² - 2ac cos B

Step-by-step explanation:

The cosine rule can be use when you are given three sides of a triangle and ask to find any angle or when you are given two sides and a included angles(the angle between the two sides given) and ask to find the length of a side.

The equation Sophia can use to solve for the side length(b) of a triangle when given two length and the included angle can be expressed below. Sophia was given two sides and an included angle and was asked to find a side length b.

For sides a, b and c the cosine rule can be represented below

a² = b² + c² - 2bc cos A

b² = a² + c² - 2ac cos B

c² = a² + b² - 2ab cos C

The equation required base on your question is

b² = a² + c² - 2ac cos B

3 0

3 years ago