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3 years ago

Given the function rule f(x) = x^2 - 5x + 1, what is the output of f(-3)?

1 answer:

4 0

f(x) = x² - 5x + 1

f(-3) = (-3)² - 5(-3) + 1

f(-3) = 25

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Answer: f(-3) = 25 (Answer C)
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There are 3 feet in a yard. If a shoe measures to be 1 ft. What fraction of a yard is that?

Alexus [3.1K]

1/3
because a foot is a third of a yard and a yard is 3 feet.

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3 years ago

Read 2 more answers

Recall that m(t) = (1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500g sample of phosphorus-32 decays

katrin2010 [14]

The question is incomplete, here is the complete question:

Recall that m(t) = m.(1/2)^t/h for radioactive decay, where h is the half-life. Suppose that a 500 g sample of phosphorus-32 decays to 356 g over 7 days. Calculate the half life of the sample.

Answer: The half life of the sample of phosphorus-32 is $14.28days^{-1}$

Step-by-step explanation:

The equation used to calculate the half life of the sample is given as:

$m(t)=m_o(1/2)^{t/h}$

where,

m(t) = amount of sample after time 't' = 356 g

$m_o$ = initial amount of the sample = 500 g

t = time period = 7 days

h = half life of the sample = ?

Putting values in above equation, we get:

$356=500\times (\frac{1}{2})^{7/h}\\\\h=14.28days^{-1}$

Hence, the half life of the sample of phosphorus-32 is $14.28days^{-1}$

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3 years ago

How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m?

DochEvi [55]

$\displaystyle\\
\bold{A= b \times h} \\ \\ 
\bold {\Longrightarrow~~~ b = \frac{A}{h} = \frac{100}{5} =}~ \boxed{\bold{20~m }}$

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2 years ago

Ewen has 48 whistle tiles and 16 blue tiles the cost of each white tile was £2 and the cost of each blue tile was £4 Work out th

AnnZ [28]

Answer:

3:2

Step-by-step explanation:

Ewen has 48 white tiles and 16 blue tiles

The cost of each white tile was £2

The cost of each blue tile was £4

Therefore the total cost of 48 white tiles is

= 48×2

= £96

The total cost of 16 blue tiles is

= 16×4

= £64

The ratio of the total cost of the white tiles and blue tile can be calculated by dividing the cost of both tiles by their greatest common factor

The greatest common factor of £96 and £64 is 32

96/32 = 3

64/32= 2

Ratio= 3:2

Hence the ratio of the total cost of the white tiles to the blue tiles is 3:2

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3 years ago

Nine friends are going to share 5 pounds of ice pop sticks equally. What fraction does each friend get?

gavmur [86]

D divide 5 from 9 to get d

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3 years ago