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aniked [119]
3 years ago
13

-1.023 + 5.6 (show how you got the answer)

Mathematics
2 answers:
Rom4ik [11]3 years ago
4 0

Answer:

-1.023 + 5.6 = 4.58

Step-by-step explanation:

1. Drop the 3 in -1.023, becoming -1.02

2. Add 0 at the end of 5.6, becoming 5.60

3. Here is the problem you now solve:

   -1.02 + 5.60. You can simply type this into your calculator. I hope this helped.

vaieri [72.5K]3 years ago
3 0

Answer:

the answer is 4.57 is the right answer

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must a function that is decreasing over a given interval always be negative over that same interval explain
kolbaska11 [484]

check the picture below.


notice, a function that is decreasing, namely  have a negative slope, doesn't have to be negative.

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3 years ago
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Which is the correct use of the distributive property?
sergiy2304 [10]

Answer:

42+18=6(7+3)

Step-by-step explanation:

6x7=42 and 6x3=18

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Explain how to model the division of -20 by -5 on a number line.
Elina [12.6K]
So you label -20 on the number line. Then you split it into -5 and count much space is in between the <em>'split'.</em>
4 0
3 years ago
In a G.P the difference between the 1st and 5th term is 150, and the difference between the
liubo4ka [24]

Answer:

Either \displaystyle \frac{-1522}{\sqrt{41}} (approximately -238) or \displaystyle \frac{1522}{\sqrt{41}} (approximately 238.)

Step-by-step explanation:

Let a denote the first term of this geometric series, and let r denote the common ratio of this geometric series.

The first five terms of this series would be:

  • a,
  • a\cdot r,
  • a \cdot r^2,
  • a \cdot r^3,
  • a \cdot r^4.

First equation:

a\, r^4 - a = 150.

Second equation:

a\, r^3 - a\, r = 48.

Rewrite and simplify the first equation.

\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}.

Therefore, the first equation becomes:

a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150..

Similarly, rewrite and simplify the second equation:

\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}.

Therefore, the second equation becomes:

a\, r\, \left(r^2 - 1\right) = 48.

Take the quotient between these two equations:

\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}.

Simplify and solve for r:

\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}.

8\, r^2 - 25\, r + 8 = 0.

Either \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16} or \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}.

Assume that \displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}.

Similarly, assume that \displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}. Substitute back to either of the two original equations to show that \displaystyle a = \frac{497\, \sqrt{41}}{41} - 75.

Calculate the sum of the first five terms:

\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}.

4 0
3 years ago
It costs $4.25 to buy 3/4 lb of sour belts.
Klio2033 [76]

Answer:

  • None of the above.

Step-by-step explanation:

<u>Given equation:</u>

  • 4.25 * 3.5

<u>The cost of 3.5 lb of sour belts:</u>

  • $14.875.

<u>Simplify:</u>

  • 14 7/8
6 0
2 years ago
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