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Minchanka [31]
3 years ago
14

How do I solve pic rel? Online calculators keep saying the result is -1 but they don't show any steps which is confusing

Mathematics
1 answer:
larisa86 [58]3 years ago
6 0

Answer:

-1

Step-by-step explanation:

\sqrt{9 - 4 \sqrt{2} }  - 2 \sqrt{2}  \\  \\  =  \sqrt{8 + 1 - 4 \sqrt{2} }  - 2 \sqrt{2}  \\  \\  =  \sqrt{8 - 4 \sqrt{2}  + 1}  - 2 \sqrt{2}  \\  \\  =  \sqrt{ {(2 \sqrt{2}) }^{2}  - 2 \times 2 \sqrt{2} \times 1 +  {1}^{2}  }  - 2 \sqrt{2}  \\  \\  =  \sqrt{( {2 \sqrt{2}  - 1)}^{2} }  - 2 \sqrt{2}  \\  \\ (2 \sqrt{2}  - 1) - 2 \sqrt{2}  \\  \\  = 2 \sqrt{2}  - 1 - 2 \sqrt{2}  \\  \\  =  - 1

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Mark got 20% raise for his salary. If this salary was $1800 what is the new salary
elena-14-01-66 [18.8K]
Salutations!

Mark got 20% raise for his salary. If this salary was $1800 what is the new salary?

So lets solve this!

Mark got 20% "raise" for his salary. It clearly indicates that it is percentage of increase, so therefore, after solving out all the sum, we would be adding up 1800 to get the total of the new salary.

Lets form this into statements ----

Percentage increase = 20%

Mark's old salary = $1800

Mark's new salary = 20 × 1800/100

Cancel out the zeros to make it more logical ----

20 × 18/1

= 360.

Now, we need to add 1800 and 360 to get Mark's new salary

1800 + 360 = $2160.

Mark's new salary is $2160.

Hope I helped :D


7 0
3 years ago
What would have to be done to put 3x (2x - 7) =9 in standard form? Group of answer choices
Artemon [7]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
The shape is a rectangle, will you please help me find the angle measures of 1,2 and 3?
Ulleksa [173]

Answer:

  ∠1 = ∠3 = 54°; ∠2 = 36°

Step-by-step explanation:

Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.

∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.

8 0
3 years ago
The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
2. Lindsay, who is the youngest member of the softball team at King's Fork High School, is 7
Andrei [34K]
Lindsay’s age = 7 - 1/3n
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3 years ago
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