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3 years ago

State the necessary value of nn that will make each statement true. 0.0004 × 0.002 = 8 × 10^n

Mathematics

1 answer:

vodka [1.7K]3 years ago

6 0

Answer:

$-7 = n$

Step-by-step explanation:

$0,002 \times 0,0004 = 0,0000008$

$0,0000008 = 8 \times {10}^{-7}$

* You must make sure that you have seven zeros in your decimal.

I am joyous to assist you anytime.

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Question 2. I have another question on my feed. Please help me solve!!!!

Maru [420]

Answer:

A' (11, 4), B' (-10, -6), C' (7, -9)

Step-by-step explanation:

Since you are reflecting over the y-axis, you take the opposite of the x value. So if the x is positive, make it negative. If the x is negative, make it positive. The y coordinate stays the same.

4 0

3 years ago

Factor x^2 + 7x -18 Please help

Anton [14]

$x^2 + 7x -18=\\
x^2-2x+9x-18=\\
x(x-2)+9(x-2)=\\
(x+9)(x-2)$

4 0

4 years ago

Evaluate 6²-7²+8²-9²+..+998²-999²

Llana [10]

Answer:

-499,485.

Step-by-step explanation:

We can transform this to an arithmetic series by working it out in pairs:

6^2 - 7^2 = (6-7)(6+7) = -13

8^2 - 9^2 = (8-9)*8+9) = -17

10^2 - 11^2 = -1 * 21 = -21 and so on

The common difference is -4.

The number of terms in this series is (998 - 6) / 2 + 1

= 992/2 + 1 = 497.

Sum of n terms of an A.S:

= n/2 [2a1 + (n - 1)d

Here a1 = -13, n = 497, d = -4:

Sum = (497/2)[-26 - 4(497-1)]

= 497/2 * -2010

= -499,485.

3 0

3 years ago

Find the vertices of the following functions.<br> Y=4(x-2)(x-3)<br><br> Y=-4(x+2)^2 -5

Natalija [7]

1) 5/2 , -1
2) -2,-5

8 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!!

lapo4ka [179]

Well... the segment FG = 4x + 3, the segment GH = 7x - 12, now, the

segment FH = FG + GH, those two fellows added up, and we know that FG and GH are both equal halves because G is the midpoint.

thus, FG = GH
or

$\bf 4x+3=7x-12\implies 3+12=7x-4x\implies 15=3x
\\\\\\
\cfrac{15}{3}=x\implies \boxed{5=x}\\\\
-------------------------------\\\\
thus\qquad 
\begin{cases}
\overline{FG}=4x+3\\
4(5)+3\\
23\\
------\\
\overline{GH}=7x-12\\
7(5)-12\\
23
\end{cases}\impliedby equal\ halves
\\\\\\
\overline{FH}=23+23\implies \overline{FH}=46\implies 6y-2=46
\\\\\\
6y=46+2\implies y=\cfrac{48}{6}$

and fairly sure, you know how much that is.

7 0

3 years ago