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4 years ago

10 study groups at the library are chosen one person is selected at random from each group

Mathematics

1 answer:

andriy [413]4 years ago

8 0

Looking at another post with the same question, the answer is B, random.

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A large open meadow near your city is shrinking in size because developers have started building new homes there.

valentinak56 [21]

Answer:

$t=-10\log 0.32$

Explanation:

<u>Equation:</u>

$A=1,562.5\times 10^{(-0.1t)}$

This is a decaying exponential function, because the exponent is negative.

Then, the larger the value of t (number of months), the smaller A (the number of hectares).

The factor 1,562.5 is the initial number of hecares, when t = 0.

You must find the value of t when A equals 500, thus solve the equation:

$500=1,562.5\times 10^{(-0.1t)$

Divide both sides by 1,562.5

$\dfrac{500}{1,562.5}=10^{(-0.1t)}$

$0.32=10^{(-0.1t)}$

Take base-10 logarithms on both sides:

$\log 0.32=-0.1t$

$t=-\dfrac{\log 0.32}{0.1}\\\\\\t=-10\log 0.32$

Note that the logarithm of a number decimal number is negative number, thus t will be positive. When you compute that, it is about 4.9 months.

8 0

3 years ago

Which point is on the graph of the function

natulia [17]

Answer:

Step-by-step explanation:

$(x,\ y)\\\\\text{Put thecoordinates of the points to the equation of}\ f(x)\ \text{and check the equality}:\\f(x)=\dfrac{1}{2}(2)^x\\\\(0,\ 1)\to x=0,\ y=1\\L=1\\R=\dfrac{1}{2}(2)^0=\dfrac{1}{2}(1)=\dfrac{1}{2}\\\\L\neq R\\\\(0,\ 2)\to x=0,\ y=2\\L=2\\R=\dfrac{1}{2}\\\\L\neq R\\\\\left(1;\ \dfrac{1}{2}\right)\to x=1,\ y=\dfrac{1}{2}\\L=\dfrac{1}{2}\\R=\dfrac{1}{2}(2)^1=\dfrac{1}{2}(2)=1\\\\L\neq R\\\\(1,\ 1)\to x=1,\ y=1\\L=1\\R=1\\\\L=R$

4 0

3 years ago

1/3 x 1/5 in the simplest form

n200080 [17]

1/15 would be the simplest form 3x5=15

3 0

3 years ago

Read 2 more answers

Shawn has $5 more than Rj and Riley has $10 less than Shawn. If there combined total is $414, how much does

ExtremeBDS [4]

Answer:

Rj has $138$ dollars, Shawn has $143$ dollars, and Riley has $133$ dollars.

Step-by-step explanation:

Let's make the amount of money Rj has $x$ , so Shawn would have $5+x$ dollars, and Riley would have $(5+x)-10$ dollars. Altogether they have $414$ dollars, so you can create an equation.