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PilotLPTM [1.2K]
4 years ago
14

A population of ground squirrels has an annual per capita birth rate of 0.06 and an annual per capita death rate of 0.02. calcul

ate an estimate of the number of individuals added to (or lost from) a population of 1,000 individuals in one year.
a. 120 individuals added

b. 40 individuals added

c. 20 individuals added

d. 400 individuals added

e. 20 individuals lost
Mathematics
1 answer:
HACTEHA [7]4 years ago
6 0

.06 of 1,000 =60 added

.02 of 1,000= 20 lost

Answer is 40 added, letter b

Hope you get it?

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Write a quadratic equation given the roots -1/3 and 5, show your work
Travka [436]

\boxed{(x - a)(x - b) = 0}

The equation above is the intercept form. Both a-term and b-term are the roots of equation.

x =  -  \frac{1}{3}  \\ x = 5

These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.

(x +  \frac{1}{3} )(x -  5) = 0

Here we can convert the expression x+1/3 to this.

x +  \frac{1}{3}  = 0 \\  3x + 1 = 0

Rewrite the equation.

(3x + 1)(x - 5) = 0

Simplify by multiplying both expressions.

3 {x}^{2}  - 15x + x - 5 = 0 \\ 3 {x}^{2}  - 14x  - 5 = 0

<u>Answer</u><u> </u><u>Check</u>

Substitute the given roots in the equation.

3 {(5)}^{2}  - 14(5)  - 5 = 0 \\ 75 - 70 - 5 = 0 \\ 75 - 75 = 0 \\ 0 = 0

3( -  \frac{1}{3} )^{2}  - 14( -  \frac{1}{3}) - 5 = 0 \\ 3( \frac{1}{9} ) +  \frac{14}{3}  - 5 = 0 \\  \frac{1}{3}  +  \frac{14}{3}  -  \frac{15}{3}  = 0 \\  \frac{15}{3}  -  \frac{15}{3}  = 0 \\ 0 = 0

The equation is true for both roots.

<u>Answer</u>

\large \boxed {3 {x}^{2}  - 14x - 5 = 0}

8 0
3 years ago
What is the image of (8,-6) after a reflection over the line y = x?
wlad13 [49]

Answer:

Step-by-step explanation:

Interchange x and y:  (-6, 8) is the image of (8, -6) after a reflection over y = x.

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AleksAgata [21]

Answer:

x=146 degrees

Step-by-step explanation:

A supplementary angle is the conrisponding angle that adds to the other angle so it is 180. So 180-34= 146

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3 years ago
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Aaron is growing two plants. At the last measurement,the first plant was 6.53 inches tall and the second was 2.7 inches tall.
AlekseyPX
Just subtract the two numbers and the answer is 3.83 inches
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What is it’s measure and what kind of angle is formed here? Basically what the question asks dhdjdkdk
777dan777 [17]

right

Answer:

90°

Step-by-step explanation:

Type of angle foremd= right

Measure = 40° + 50° = 90°

Type of angle foremd= right

Measure = 40° + 50° = 90°

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