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gtnhenbr [62]
2 years ago
15

The number of fish in a lake is growing exponentially. The table shows the values, in thousands, after different numbers or year

s
since the population was first measured.

Mathematics
1 answer:
Nana76 [90]2 years ago
4 0

Answer: 15

Step-by-step explanation: in 2 years its population grows by 30 so you divide that by 2 and you get 15.

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A jar contains 5 red marbles, 10 blue marbles, 1 white marble, 6 black marbles, and 3 yellow marbles. Determine the probability
Oliga [24]

Answer:

so if we make a pie chart

there's 25 marbles

it'll be 1/25 or 4% chance

a red marble is 5/ 25 or a 20% chance

say if you replace the white on the chances of you getting red will be 24% or 6/25 chance of getting red

5 0
3 years ago
Which expression is equivalent to<br> 3(2x+ 5), no matter what value is substituted in for x
Viktor [21]

Answer:

6x+15

Step-by-step explanation:

5 0
3 years ago
Priya has a piece of string 5/6 yard long. She cuts 3/5 of the piece of string for a craft. What is the length of the string lef
Solnce55 [7]

Total length of the string = \frac{5}{6} yard

Length of string used for craft = \frac{3}{5} of total length of string

= \frac{3}{5} of \frac{5}{6}

= \frac{3}{5} \times \frac{5}{6}

= \frac{3}{6} yard

Length of the string left after use = Total length of the string - Length of string used for craft

Length of the string left after use = \frac{5}{6}-\frac{3}{6}

=\frac{2}{6}

Reducing it to the lowest term, we get

=\frac{1}{3} yard

Therefore, the length of string left is \frac{1}{3} yard.

3 0
2 years ago
Read 2 more answers
Use the order pairs to write a function rule. Give the tule in slope-intercept form.
topjm [15]

to get the equation of any straight line, we simply need two points off of it, so hmmm let's use say (-1 , -1.25) and (8 , -3.5)

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-1.25})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3.5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3.5}-\stackrel{y1}{(-1.25)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-1)}}}\implies \cfrac{-3.5+1.25}{8+1}\implies \cfrac{-2.25}{9}\implies -\cfrac{~~ \frac{225}{100}~~}{\frac{9}{1}} \\\\\\ -\cfrac{225}{100}\cdot \cfrac{1}{9}\implies -\cfrac{9}{4}\cdot \cfrac{1}{9}\implies -\cfrac{1}{4}

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1.25)}=\stackrel{m}{-\cfrac{1}{4}}(x-\stackrel{x_1}{(-1)}) \\\\\\ y+1.25=-\cfrac{1}{4}(x+1)\implies y+\cfrac{5}{4}=-\cfrac{1}{4}x-\cfrac{1}{4} \\\\\\ y=-\cfrac{1}{4}x-\cfrac{1}{4}-\cfrac{5}{4}\implies y=-\cfrac{1}{4}x-\cfrac{6}{4}\implies y=-\cfrac{1}{4}x-\cfrac{3}{2}

3 0
2 years ago
Show the region which satisfies simultaneously the inequalities 2x+3y≤8, x-2y≥-3, x≥0, y≥0
Verizon [17]
The first thing you should do is graph the following lines
 2x + 3y = 8
 x-2y = -3
 x = 0
 y = 0
 After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
 2x + 3y≤8, x-2y≥-3, x≥0, y≥0
 The resulting region is the region "R" shown in the attached graph.

8 0
3 years ago
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