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olganol [36]
3 years ago
12

A student is solving the system of equations below. In which line is a mistake first made?

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Answer:

line 1

Step-by-step explanation:

because

3x + 2y + z = 11 ➡ z = 11 - 3x - 2y

3x and 2y must change sign when transfer to other sid eof equation

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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600
melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%

Hence, there is 3.994% continuous growth rate per hour.

3 0
3 years ago
HELLPPPPPPPPPPPPP Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, ad
kompoz [17]

Answer:

x = 8 ± 2i\sqrt{2}

Step-by-step explanation:

Given

x² - 16x + 60 = - 12 ( subtract 60 from both sides )

x² - 16x = - 72

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 8)x + 64 = - 72 + 64, thus

(x - 8)² = - 8 ( take the square root of both sides )

x - 8 = ± \sqrt{-8} = ± 2i\sqrt{2} ( add 8 to both sides )

x = 8 ± 2i\sqrt{2}

3 0
3 years ago
Read 2 more answers
(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.
Makovka662 [10]

Answer:

3a. 8t + 12c = 72

3b. t + c = 7

Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

6 0
2 years ago
Help me please fast fast fast
vova2212 [387]

4

You can just put this into a calculator:

1/2^2 = 0.25

3×5-3 = 12

1^3 = 1

0.25 × 12 + 1 = 4

4 0
2 years ago
Read 2 more answers
A family has an annual income of ​$25,200. of​ this, 1/4 is spent for​ food, 1/5 for​ housing, 1/10 for​ clothing, 1/9 for​ savi
Firlakuza [10]
To answer the question, you have to multiply $25,200 by 1/4 (portion allocated/ alloted for the tax -
$25,200 * 1/4 = 25,200/4 (then divide 25,200 by 4)
                       = $6,300
Therefore, the family spent $6,300 for taxes from their annual income of $25,200.
8 0
3 years ago
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