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3 years ago

Determine if p2+14p+49 is a perfect trinomial

Mathematics

1 answer:

shusha [124]3 years ago

4 0

Answer:

Step-by-step explanation:

p² + 14p + 49 = p² + 2 * 7p + 7²

Comparing with a² + 2ab + b²,

a= p and b = 7

So 2ab = 2*p*7 = 14 p

So, p² + 14p + 49 is a perfect trinomial

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Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.2x - 4 = 3-x + 1A. x=2.5B.

Nataly [62]

The equation is:

$2x-4=3^{-x}+1$

Now we can evaluate the posible values of x so:

for x=2.5

$2(2.5)-4=3^{-2.5}+1$

so now we operate:

$\begin{gathered} 5-4=0.06+1 \\ 1=0.06+1 \\ 0\approx0.06 \end{gathered}$

For x=1

$2(1)-4=3^{-1}+1$

Now we operate:

$\begin{gathered} 2-4=0.33+1 \\ -2\ne1.33 \end{gathered}$

for x=2

$\begin{gathered} 2(2)-4=3^{-2}+1 \\ 4-4=0.11+1 \\ 0\ne1.11 \end{gathered}$

and for x=3.25

$\begin{gathered} 2(3.25)-4=3^{-3.25}+1 \\ 6.5-4=0.02+1 \\ 2.5\ne1.02 \end{gathered}$

So the clousest one is the option A

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1 year ago

Does anyone know the answer to this? please help me!!

MrRa [10]

Answer:

336

Step-by-step explanation:

5 0

3 years ago

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The fox population in a certain region has a relative growth rate of 6% per year. It is estimated that the population in 2013 wa

ICE Princess25 [194]

Answer:

Step-by-step explanation:

initial population, n0 = 18000

rate of growth, r = 6% = 6/100 = 0.06

a) The function that models the population t years after 2013 would be

n(t) = 18000e0.06t

b)In 2018, the number of years, t = 2018 - 2013 = 5 years

The population would be

n(t) = 18000e0.06 × 5

n(t) = 18000e0.3

n(t) = 24297

c) n(t) = 24000

Therefore

24000 = 18000e0.06t

24000/18000 = e0.06t

1.33 = e0.06t

Take ln on both sides of the equation, it becomes

0.285 = 0.06t

t = 0.285/0.06

t = 4.75 years

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3 years ago

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agasfer [191]

15: 4.71 ft

16: 62:83 cm

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3 years ago

Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = St

Amiraneli [1.4K]

Answer:

(B)72 fluid ounces

Step-by-step explanation:

To convert cups to fluid ounces, Sari wrote the equivalent ratios.

$\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}$

Let the question mark be represented by x.

We then have:

$\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces$

We conclude that there are 72 fluid ounces in 9 cups.

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3 years ago

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