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3 years ago

Which of the following is an equivalent representation of 2^-4 ?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

I think it’s c but I’m not 100% sure but pretty sure it’s correct

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Which values are solutions to the inequality below? √x > 25?

dezoksy [38]

Answer:

C and D

Step-by-step explanation:

So basically when u square -5 or +5, u get 25 either way

And since the square root of x is greater than or equal to 25, u can use both of them for answers.

5 0

3 years ago

In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

natka813 [3]

Answer:

$P(t) = 5100e^{0.0039t}$

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that $P(0) = 5100$

$P(t) = 5100e^{rt}$

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that $P(5) = 5200$ .

We use this to find r.

$P(t) = 5100e^{rt}$

$5200 = 5100e^{5r}$

$e^{5r} = \frac{52}{51}$

$\ln{e^{5r}} = \ln{\frac{52}{51}}$

$5r = \ln{\frac{52}{51}}$

$r = \frac{\ln{\frac{52}{51}}}{5}$

$r = 0.0039$

So the equation for the moose population is:

$P(t) = 5100e^{0.0039t}$

5 0

3 years ago

The ratio of oil to vinegar in a salad dressing is 8:5.How much oil must blend with 7 liters of vinegar for that recipe?

sukhopar [10]

Set it up in a proportion.

8 (oil)/5 (salad dressing) = x/7
cross multiply to get 11.2

7 0

3 years ago

Read 2 more answers

The cost of a student ticket to the school play is $7. Write an equation that correctly relates the total cost, c, for a particu

svp [43]

The answer is:

c = 7s

The Independent Variable is: s
The Dependent Variable is: c

8 0

3 years ago

Simplify 3x³(x+2)+2x(x²+3x)

max2010maxim [7]

Answer:

${3x}^{4} + {8x}^{3} + {6x}^{2}$

Step-by-step explanation:

${3x}^{3} (x + 2) + 2x( {x}^{2} + 3x)$

${3x}^{4} + {6x}^{3} + {2x}^{3} + {6x}^{2}$

${3x}^{4} + {8x}^{3} + {6x}^{2}$

<h3>Hope it is helpful...</h3>

8 0

3 years ago