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lilavasa [31]
4 years ago
9

A pond is initially stocked with 1000 catfish, and the fish population is then sampled each month to estimate its size. It is de

termined to be increasing at a rate of 1.5% each month. What is the projected population after one year?Which function represents exponential decay?
Mathematics
1 answer:
Marina86 [1]4 years ago
7 0

Answer:

A year is 12 months long. 1.5 percent each month would total 18 percent in a year. 18 percent of 1000 is 180. The final number of fish is 1180

Step-by-step explanation:

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A farm had an area of 35 mi 2 . the farm is 7 miles wide. how long is th farm?
Akimi4 [234]
Answer is 35/7=5
The width is 5 miles long
5 0
3 years ago
Aidan wants to run 10 miles. So far he has run 3/5 of those 10 miles. how many miles has aidan run​
dedylja [7]

Answer:

6 miles

Step-by-step explanation:

3 0
4 years ago
Read 2 more answers
F(x)=x^2-3x+18 how many distinct real number zeros does f have?
vampirchik [111]

Answer:

None of the distinct real number zeros the function have.

Step-by-step explanation:

Considering the function

f(x)=x^2-3x+18

The zeroes of a function are those values that touches the x-axis. In order to find those values we must

Set  f(x) = 0 in order to find those values

0=x^2-3x+18

\mathrm{Switch\:sides}

x^2-3x+18=0

\mathrm{Solve\:with\:the\:quadratic\:formula}

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-3,\:c=18:\quad x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{-\left(-3\right)+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

As

3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}=3+\sqrt{63}i

so

x=\frac{3+\sqrt{63}i}{2\cdot \:1}

x=\frac{3+3\sqrt{7}i}{2}

x=\frac{3}{2}+\frac{3\sqrt{7}}{2}i

Similarly,

x=\frac{-\left(-3\right)-\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}:\quad \frac{3}{2}-i\frac{3\sqrt{7}}{2}

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{3}{2}+i\frac{3\sqrt{7}}{2},\:x=\frac{3}{2}-i\frac{3\sqrt{7}}{2}

BUT, NONE OF THEM ARE REAL NUMBER ZEROS.

Therefore, none of the distinct real number zeros the function have.

5 0
4 years ago
Which of the following statements must be true about the diagram? Check all that apply.
Ray Of Light [21]

Answer:

x + y = w

w > x

w > y

Step-by-step explanation:

x and y are interior angles of a triangle.

w is the exterior angle ( opposite to angles x and y ) of a triangle.

There is a formula that exterior angle of a triangle is equal to sum of two interior angles of a triangle.

So,

x + y = w

If x + y = w,

Then,

w > x

w > y

6 0
2 years ago
What is the value of 2x + y2 − xy for x = 1 and y = 4? A. 14 B. 2 C. 6 D. 22
ratelena [41]
The correct answer is C.

8 0
4 years ago
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