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Aloiza [94]
3 years ago
7

-5(3e - 2) < - 2(6e + 7)

Mathematics
2 answers:
krok68 [10]3 years ago
8 0
This is false, -5(3e-2) is not less than -2(6e+7) 
valina [46]3 years ago
3 0
Not sure and this is a hard problem for me to calculate

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The sum of a number, n, and 8 is multiplied by -4, and the result is 12. What is the number?
Finger [1]

Answer: -11

Step-by-step explanation:

(n+8)* -4= 12

   -8          -8

n* -4= 12

   /-4   /-4

n= -11

3 0
3 years ago
What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??
vivado [14]
Successive terms have a common factor of -\dfrac23, which means the nth partial sum of the series can be written as

S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}
S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}

\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)

\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)
\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)
S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)

As n\to\infty, the geometric term vanishes, leaving you with

S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5
7 0
3 years ago
the equation I=prt solves for the amount of simple interest a bank account receives after a certain period of time. I stands for
Dominik [7]

Answer:

The percentage rate is 4.5%.

Step-by-step explanation:

The given formula for simple interest is I=prt where I=simple interest, p=principle, r = percentage rate and t=time.  In the problem, we are told that after six years (t=6), $7000 (p=7000) earns $1890 (I=1890).  We can then substitute in the values for three of our variable to get the following:  1890 = (7000)(6)r.  Multiplying 7000x6 = 42000 giving us 1890 = 42000r.  Using inverse operations, we divide both sides of the equation by 42000 to get 0.045 = r.  Since r = percentage rate, we need to multiply our decimal by 100 to find the percentage.  0.045 x 100 = 4.5%.

5 0
3 years ago
The scale model of a rectangular patio will be enlarged by a scale factor of 2.5 to create the actual patio. The actual patio wi
cricket20 [7]

Step-by-step explanation:

Below is an attachment containing the solution.

7 0
4 years ago
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3. A copy machine makes 60 copies per minute. A second
Brums [2.3K]

Answer:

E

Step-by-step explanation:

6 x 480 + 8 x 60 = 960..........

8 0
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