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Sholpan [36]
2 years ago
15

There are approximately 3,000 bass in a lake. The population grows at a rate

Mathematics
1 answer:
ivanzaharov [21]2 years ago
8 0

Answer:

p=population

n=number of years

p(n) = 3000 (1.02^{n})

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A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Lady_Fox [76]

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

6 0
3 years ago
The graph of g(x) is a transformation of the graph of f(x)=4x .
Alenkasestr [34]

Answer:

g(x) = 4^x + 1.

Step-by-step explanation:

The graph of f(x) = 4^x  passes through the point (0, 1) because when x = 0, 4*0 = 1. Also when x = 1,  4^x=  4.  So it passes through (1, 4).

For g(x) we have corresponding points (0, 2) and (1, 5).

So we see that g(x) is a similar graph but it has been translated up 1 unit.

7 0
3 years ago
Read 2 more answers
Maris put trim around a mirror that is the shape of a square. Each side is 24 inches long. Maria has 1 foot of trim left. What w
Dahasolnce [82]

Answer:

16.028 yards

Step-by-step explanation:

1 inch=0.0833333 foot

24 inches=0.0833333×24

=1.9999992 foot

The mirror is square shaped and each side is 24 inches

If each 24 inches=1.9999992 foot

Then,

4 sides of 24 inches=1.9999992×24

=47.9999808 foot

Maria has 1 foot of trim left

Total Length of trim when she started=47.9999808+0.0833333

=48.0833141 foot

=16.02777136667 yards

Approximately,

16.028 yards

8 0
3 years ago
What is the equation of the line perpendicular to 3x+y= -8that passes through -3,1? Write your answer in slope-intercept form. S
Gekata [30.6K]

Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is y=\frac{1}{3} x+2

<u>Solution:</u>

Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).

Generic slope intercept form of a line is given by y = mx + c

where m = slope of the line.

Let's first find slope intercept form of 3x + y = -8

3x + y = -8

=> y = -3x - 8

On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3  

And as the line passing through (-3,1) and is  perpendicular to 3x + y = -8, product of slopes of two line will be -1  as lies are perpendicular.

Let required slope = x  

\begin{array}{l}{=x \times-3=-1} \\\\ {=>x=\frac{-1}{-3}=\frac{1}{3}}\end{array}

So we need to find the equation of a line whose slope is \frac{1}{3} and passing through (-3,1)

Equation of line passing through (x_1 , y_1) and having lope of m is given by

\left(y-y_{1}\right)=\mathrm{m}\left(x-x_{1}\right)

\text { In our case } x_{1}=-3 \text { and } y_{1}=1 \text { and } \mathrm{m}=\frac{1}{3}

Substituting the values we get,

\begin{array}{l}{(\mathrm{y}-1)=\frac{1}{3}(\mathrm{x}-(-3))} \\\\ {=>\mathrm{y}-1=\frac{1}{3} \mathrm{x}+1} \\\\ {=>\mathrm{y}=\frac{1}{3} \mathrm{x}+2}\end{array}

Hence the required equation of line is found using slope intercept form

4 0
3 years ago
2. Faith opens a credit card with an APR of 16.50% compounded monthly. How much is charged in interest this month if her
FromTheMoon [43]

Answer:

14.44 (Letter D)

Step-by-step explanation:

The answer is 14.44

Hopefully its correct!!!

8 0
2 years ago
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