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3 years ago

What is a symmetry? In math terms

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Symmetry is when an image or being is halved into two, and both sides are the exact same to each other.

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The gross income of Ginger Hughes is $215 per week. Her deductions are: $15.16, FICA tax; $29.33, income tax; 2% state tax; 1% c

Anika [276]

215 - 44.49 (I added the two deductions mentally) = 170.51

I see the percentages 2%, 1% and 3% add up to 6%
So we want 6% of 215 or .06 x 215 = $12.90

$170.51 - 12.90 = $157.61 net income.

6 0

3 years ago

5,10,20... write an explicit and recursive equ

Lesechka [4]

Answer:

if you are wanting one based on the numbers 5, 10, 20, the next numbers would be 40, 80, 160 and so one, all you do is multiply the number by 2

Step-by-step explanation:

8 0

3 years ago

Which expression is equivalent to ^5 square root 13^3

joja [24]

Answer:

$\sqrt[5]{13^3} = 13^{\frac{3}{5}}$

Step-by-step explanation:

5 0

3 years ago

Element X decays radioactively with a half-life of eight minutes. If there are 800 g of element X, how long, to the nearest 10th

Harman [31]

Answer: 41.5 min

Step-by-step explanation:

This problem can be solved with the Radioactive Half Life Formula:

$A=A_{o}.2^{\frac{-t}{h}}$ (1)

Where:

$A=22 g$ is the final amount of the radioactive element

$A_{o}=800 g$ is the initial amount of the radioactive element

$t$ is the time elapsed

$h=8 min$ is the half life of the radioactive element

So, we need to substitute the given values and find $t$ from (1):

$22 g=(800 g) 2^{\frac{-t}{8 min}}$ (2)

$\frac{22 g}{800 g}=2^{\frac{-t}{8 min}}$ (3)

$\frac{11}{400}=2^{\frac{-t}{8 min}}$ (4)

Applying natural logarithm in both sides:

$ln(\frac{11}{400})=ln(2^{\frac{-t}{8 min}})$ (5)

$-3.593=-\frac{t}{8 min}ln(2)$ (6)

Clearing $t$ :

$t=41.46 min \approx 41.5 min$ This is the time elapsed

7 0

3 years ago

The amount of resistance, y, in a circuit varies inversely to the current, x, in the circuit. When 10 ohms of resistance are use

saveliy_v [14]

Let k be a constant of proportionality. We can use the given information to write two equations:
24 = k/5 and 12 = k/10.
Solving for k gives k = 120 in both cases.
Let R be the unknown resistance when the current is 15 amperes:
15 = 120/R.
R = 120/15
R = 8 ohms.

5 0

3 years ago