The equation that models the population of bats is 326,000 x (1.014)^X = Y, so the correct answer is A.
<h3><u>Equations</u></h3>
Given that a scientist is studying wildlife, and she estimates the population of bats in her state to be 326,000, and she predicts the population to grow at an average annual rate of 1.4%, to create an equation that models the population of bats, Y , after X years, the following calculation must be made:
- 326,000 x (1+ 1.4/100)^X = Y
- 326,000 x (1 + 0.014)^X = Y
- 326,000 x (1.014)^X = Y
Thus, in 3 years, the equation would operate as follows:
- 326,000 x 1.014^3 = Y
- 326,000 x 1.0425 = Y
- 339,884.58 = Y
Learn more about equations in brainly.com/question/2263981
+ 15 = 64 Subtract 15 from both sides
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= 49 Find the square root of both sides to cancel out the </span>
x + 5 = 7 Subtract 5 from both sides
x = 2<span>
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Find the reciprocal of the second fraction: -9/4, and multiply it instead of dividing.
2/3 x -9/4 = -18/12. By reducing it’ll be -3/2, or -1 1/2 in mixed form.
ΔBAC ≅ ΔDAC by ASA congruency
Step-by-step explanation:
Congruency of any triangle can be proved by either of these four criteria. These include
SSS, SAS, ASA, AAS where S= sides and A= Angles
In the given figure ΔBAC & ΔDAC
Since the line, AC is a common angular bisector of ∠BAC and ∠DAC
∴ ∠BAC = ∠DAC ∵ AC is an angular bisector and bisects the ∠BAD into two halves
∠BCA=∠DCA ∵AC is an angular bisector and bisects the ∠DCB into two halves
AC=AC ∵Common side
∴ ΔBAC ≅ ΔDAC ⇒by Angle-Side-Angle (ASA) congruency criterion
Answer:
y=5x-13
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=5(x-2)
y+3=5(x-2)
y=5x-10-3
y=5x-13
