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Elenna [48]
2 years ago
10

Please help with algebra

Mathematics
1 answer:
gregori [183]2 years ago
6 0

Answer:

54%

Step-by-step explanation:

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Translate the sentence into an inequality. Eight times the sum of a number and 20 is greater than or equal to 25. Use the variab
PtichkaEL [24]

Answer:

8x + 20 ≥ 25

Step-by-step explanation:

Well 8 times the sum of a number "x" plus 20,

So we can write the following,

8x + 20

and that should be greater than or equal to 25

8x + 20 ≥ 25

<em>Thus,</em>

<em>as an inequality it is 8x + 20 ≥ 25.</em>

<em />

<em>Hope this helps :)</em>

3 0
3 years ago
Part 3: Complete the following metric conversions. Make sure to show all work to receive credit! You may
koban [17]

Answer:

13) 2 g

14) 5,000 mL

15) 104,000 m

16) 160 mm

17) 5,600,000 mg

19) 0.25 km

Step-by-step explanation:

13. Convert 2,000 mg to g:

1 mg = 0.001 g

(2,000 mg * 0.001 g) / 1 mg = 2 g

14. Convert 5 L to mL:

1 L  = 1000 mL

(5 L * 1000 mL) / 1 L = 5,000 mL

15. Convert 104 km to m:

1 km = 1000 m

(104 km * 1000 m) / 1 km = 104,000 m

16. Convert 16 cm to mm:

1 cm = 10 mm

(16 cm * 10 mm) / 1 cm = 160 mm

17. Convert 5.6 kg to mg:

1 kg = 1,000,000 mg

(5.6 kg * 1,000,000 mg) / 1 kg = 5,600,000 mg

19) Convert 250 m to km:

1 m = 0.001 km

(250 m * 0.001 km) / 1 m = 0.25 km

6 0
3 years ago
The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

4 0
3 years ago
Read 2 more answers
For f(x)=4x+1 and g(x) = x^2 - 5, find (f+g)(x).
Rus_ich [418]

Answer:

(f + g)(x) = x² + 4x - 4  

Step-by-step explanation:

The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x)                                  <----- Original statement

f(x) + g(x)                                <----- Rewrite

(4x + 1) + (x² - 5)                     <----- Substitute the equations in f(x) and g(x)

4x + x² - 4                              <----- Add 1 and -5

x² + 4x - 4                              <----- Rearrange the terms

3 0
1 year ago
HALPPPP PLEASEEEE 35 POINTSS :D
mars1129 [50]

Answer:

15.70796

Step-by-step explanation:

Hope this helps! I figured it out on a calculator. :)

8 0
3 years ago
Read 2 more answers
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