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katrin2010 [14]
2 years ago
7

Petsmart's marketing team finds in their most recent report that they sell 45 guinea pigs a

Mathematics
1 answer:
Stels [109]2 years ago
6 0

Answer:

p(x)=x3-3x2+4x+50 and g(x)=x-3

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Plutonium-240 decays according to the function L where o
PIT_PIT [208]

Answer:

\boxed{\textbf{1700 yr}}

Step-by-step explanation:

-\dfrac{\text{d}L}{\text{d}t} = kL\\\\\dfrac{dL}{L}=-kdt\\\\\ln L = -kt + C\\\text{At t = 0, L = L$_{0}$, so C = $\ln L_{0}$}\\\ln L = -kt + \ln L_{0}\\\ln L_{0} - \ln L = kt\\\\\ln \dfrac{L_{0}}{L} =kt

Data:

L₀ = 24 g

L = 20 g

k = 0.000 11 yr⁻¹

Calculation:

\ln \dfrac{24}{20} =0.000 11t\\\\\ln 1.2 = 0.000 11t\\\\0.1823 = 0.000 11t\\\\t = \dfrac{0.1823}{0.000 11} = \textbf{1700 yr}\\\\\text{It will take } \boxed{\textbf{1700 yr}}\text{ for the polonium to decay to 20 g}

8 0
3 years ago
A printing company charges $42 plus $0.05 per page. Another company just charges $0.08 per page. How many pages are in an order
Nookie1986 [14]
There should be 1,400 pages in an order that costs the same for both companies.

Let x be the unknown number of pages.

1st Company = 42 + 0.05x
2nd Company = 0.08x

0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages

To check

0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112

7 0
3 years ago
On January 1st, the high temperature was 81 °F in kona, hawaii. the low temperatures was 29 °F in Barrow, Alaska. What was the d
Elena L [17]

Answer:

52 Degrees

Step-by-step explanation:

Subtract 29 (lower number) from 81 (higher number). This will often give you the difference (52) between the two measurements.

7 0
3 years ago
What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?
Serhud [2]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

4 0
3 years ago
A salesperson had 240,000 dollars in sales last year, which is 60% of the sales she had this year. Which equation could be used
8_murik_8 [283]
Answer is B indeed!!!
7 0
3 years ago
Read 2 more answers
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