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2 years ago

The graph shows your distance from home on a day trip to an apple farm which is 125

Mathematics

1 answer:

GalinKa [24]2 years ago

6 0

Answer:

It took you 3 hours to reach the apple farm.

Step-by-step explanation:

You might be interested in

Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

2 years ago

According to a statistical journal, the average lengths of a newborn is 19.6 inches with a standard deviation of 1.2 inches. Th

avanturin [10]

Answer:

9.18%

Step-by-step explanation:

First, find the z-score.

z = (x − μ) / σ

z = (18 − 19.6) / 1.2

z = -1.33

Use a chart or calculator to find the probability:

P(Z < z) = 0.0918

3 0

3 years ago

PLZ HELP ASAP I'LL GIVE BRAINLY sketch the solution set to the system of inequalities shown below

earnstyle [38]

Answer:

hi! you can use desmos graphing calculator to help you graph these- just look it up and plug the equation in. its nice for future use as well.

Step-by-step explanation:

and no , (5,10) isn't a solution to the equation because it falls under x≥2 but not under y<x+3. Hope this helps !

6 0

3 years ago

A town has a population of 2000 and grows at 4.5% every year. What will be the

goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

$F=P(1+r)^t$

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

we can plug the numbers into the formula and solve for F:

$F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4$

rounded to the nearest whole number, the population after 13 years would be 3544

3 0

3 years ago

Read 2 more answers

A large adult kangaroo can have a mass of 90,000 grams. How many kilograms is it. (1g =1,000g)

liubo4ka [24]

$1kg=1,000g!!!\\\\therefore\ 1g=\frac{1}{1,000}kg=0.001kg\\--------------------\\90,000g=90,000\cdot0.001kg=\boxed{90kg}\\\\Answer:\boxed{\boxed{90,000g=90kg}}$

3 0

3 years ago

Read 2 more answers