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3 years ago

Seven hundred twelve thousandths in expanded form

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

(7×100)+(0.001×12) = 700.012

Hope It Helps :]

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Learning goal: to understand the rules for computing dot products. let vectors a=(2,1,−4), b=(−3,0,1), and c=(−1,−1,2). part a -

miv72 [106K]

For this case we have the following vectors:
$a = (2,1, -4)

b = (- 3,0,1)

c = (- 1, -1,2)$
The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
$a.b = (2,1, -4). (- 3,0,1)

a.b = (2) (- 3) + (1) (0) + (-4) (1)

a.b = - 6 + 0 - 4

a.b = - 10$
Answer:
The product point of the vectors a and b is:
$a.b = - 10$

3 0

3 years ago

What is the vertex and intercepts for y=(5x-2)(2x+3)

Sophie [7]

Answer:

vertex = $(-\frac{11}{20} ,-\frac{361}{40} )$

Intercepts for x = $(\frac{2}{5} ,0), (-\frac{2}{5} ,0)$

intercepts for y = (0,-6)

4 0

3 years ago

BRAIN TO CORRECT ANSWER!!

zmey [24]

Answer:

It is B

Step-by-step explanation:

3 0

3 years ago

URGENT HELP PLEASE!

Vaselesa [24]

Answer:

(a) $x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b) $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$ .

(a)

$\sqrt{2}\sin 2x=1$

$\sin 2x=\dfrac{1}{\sqrt{2}}$

$\sin 2x=\dfrac{\pi}{4}$

$2x=\dfrac{\pi}{4},\dfrac{3\pi}{4},\dfrac{9\pi}{4},\dfrac{11\pi}{4}$ $[\because \sin x=\sin y\Rightarrow x=n\pi+(-1)^ny]$

$x=\dfrac{\pi}{8},\dfrac{3\pi}{8},\dfrac{9\pi}{8},\dfrac{11\pi}{8}$

(b)

$\csc^2 x-\csc x-2=0$

$\csc^2 x-2\csc x+\csc x-2=0$

$\csc x(\csc x-2)+1(\csc x-2)=0$

$(\csc x+1)(\csc x-2)=0$

$\csc x=-1\text{ or }\csc x=2$

$\sin x=-1\text{ or }\sin x=\dfrac{1}{2}$ $[\because \sin x=\dfrac{1}{\csc x}]$

$x=\dfrac{3\pi}{2}\text{ or }x=\dfrac{\pi}{6},\dfrac{5\pi}{6}$

Therefore, $x=\dfrac{3\pi}{2},\dfrac{\pi}{6},\dfrac{5\pi}{6}$ .

5 0

3 years ago

Points O, A, B lie on the same line. OA = 12 cm, OB = 9 cm. Find the distance between the midpoints of segments OA and OB if: Po

12345 [234]

Short Answer: 1.5
Givens
OA = 12
OB = 9
O does not lie on AB

Argument
The order that these lines must be in is OBA. O is on your left, B is in the middle and A is on your right.

Mark your distances as follows.
OB = 9
BA = 3

Mark the midpoint of OA = M1
Mark the midpoint of OB = M2

M1 = 12 / 2 = 6 so M1 is 6 units from O
M2 = 9/2 = 4.5

The distance between the two midpoints is 6 - 4.5 = 1.5
Answer M1 - M2 = 1.5 <<<<

Nice problem: Thanks for posting.

7 0

3 years ago

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