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Inessa05 [86]
3 years ago
6

An insect population triples every 4 months. If the population started out with 24 insects, how many

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

After 16 months there will be a population of 1,944 insects.

Step-by-step explanation:

Since an insect population triples every 4 months, if the population started out with 24 insects, to determine how many insects would there be in 16 months, the following calculation must be performed:

X = 24 x 3 ^ (16/4)

X = 24 x 3 ^ 4

X = 1,944

Thus, after 16 months there will be a population of 1,944 insects.

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mash [69]

Pretty sure its 0.2917, not sure tho,

4 0
3 years ago
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Can someone walk me through this?
____ [38]

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

5 0
3 years ago
Use the diagram below to solve. The m∠ 1 = 29x + 12 and the m∠ 5 = 15x - 8. All lines that appear parallel are parallel.
Kamila [148]

Answer:

Equation: (29x + 12)° + (15x - 8)° = 180°

x = 4

m∠ 5 = 52°

Step-by-step explanation:

Given:

m∠ 1 = 29x + 12,

m∠ 5 = 15x - 8

Since all lines that appear are parallel, therefore, opposite angles of the quadrilateral are congruent.

Therefore, m<1 = m<4 = 29x + 12

m<4 + m<5 = 180° (linear pair)

(29x + 12) + (15x - 8) = 180° (substitution)

The equation above is what we would use in solving for x. Let's solve for x:

29x + 12 + 15x - 8 = 180

Collect like terms

44x + 4 = 180

Subtract 4 from both sides

44x = 180 - 4

44x = 176

Divide both sides by 44

x = 176/44

x = 4

m∠ 5 = 15x - 8

Plug in the value of x

m∠ 5 = 15(4) - 8 = 60 - 8

m∠ 5 = 52°

7 0
3 years ago
A sphere has a volume of 457.3 in^3. What is the radius of the sphere?
Ne4ueva [31]

Answer:

\large\boxed{R\approx4.78\ in}

Step-by-step explanation:

The formula of a volume of a sphere:

V=\dfrac{4}{3}\pi R^3

R - radius

We have the volume V = 457.3 in³. Substitute:

\dfrac{4}{3}\pi R^3=457.3\qquad\text{multiply both sides by 3}\\\\4\pi R^3=1371.9\qquad\text{divide both sides by 4}\\\\\pi R^3=342.975\qquad\text{divide both sides by}\ \pi\\\\R^3=\dfrac{342.975}{\pi}\qquad/\pi\approx3.14/\\\\R^3\approx\dfrac{342.975}{3.14}\\\\R^3\approx109.2277\to R\approx\sqrt{109.2277}\\\\R\approx4.78\ in

4 0
4 years ago
Kevin says it will take him less than 1 hour to do homework and play soccer is he correct? Explain.
babunello [35]

Answer:

I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.

Step-by-step explanation:

3 0
3 years ago
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