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gtnhenbr
14 hours ago
7

A local population of 720,000 fish is decreasing at a rate of 0.75% per quarter. How many

Mathematics
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The names of nine boys and six girls from your class are put into a hat. What is the probability that the first two names chosen
Leona [12618]

Answer:

2

Step-by-step explanation:

3 0
1 month ago
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Which shows the following expression after the negative exponents have been eliminated?
AnnZ [12381]

Response:

a^2b^2

Detailed explanation:

Considering the given algebraic expression:

\dfrac{a^3b^{-2}}{ab^{-4}}, a\neq 0, b\neq 0

The task is to remove the negative exponents and derive the new expression.

Applying the Negative Exponent Rule: x^{-y}=\dfrac{1}{x^y}

Utilizing the Division Law for Exponents: \dfrac{t^x}{t^y}=t^{x-y}

Consequently:

\dfrac{a^3b^{-2}}{ab^{-4}} = a^{3-1}\cdot b^{-2-(-4)}\\$Simplifying\\a^{3-1}\cdot b^{-2-(-4)}=a^2b^{-2+4}\\=a^2b^2\\Therefore:\\\dfrac{a^3b^{-2}}{ab^{-4}}=a^2b^2

7 0
2 months ago
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Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°
Leona [12618]

Given:

In triangle GHJ, the angles measure ∠G = 110°, ∠J = 40°, and ∠H = 30°.

To find:

The response to finish the provided statements.

Solution:

Based on the relationship between angles and sides in a triangle, the largest angle corresponds to the longest opposite side while the smallest angle corresponds to the shortest side.

We know that ∠G = 110°, ∠J = 40°, and ∠H = 30°.

Here, it is clear that ∠G is greater than both ∠J and ∠H, confirming that it is the largest angle.

Since angle G is the largest, side JH is the longest.

Clearly,

110° > 40° > 30°.

Thus, ∠G > ∠J > ∠H

Following the triangle's side and angle relationship leads to the conclusion:

JH > GH > GJ

The arrangement of side lengths from the longest to the shortest is JH, GH, and GJ.

8 0
2 months ago
A 2-column table has 8 rows. The first column is labeled Statements with entries angle A B C is right angle, Line segment D B bi
AnnZ [12381]

Response:

A. Given

B. Measure of ABC=90

C. Angle addition Postulate

D. Two times the value of angle CBD equals 90

Step-by-step breakdown:

3 0
3 months ago
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