The value of [-10] is? A.11 B.-10 C.-9

Mathematics

1 answer:

Tresset [83]3 years ago

3 0

Answer:

B = -10

Step-by-step explanation:

the answer is B = - 10

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Suppose there is a 3.1 temperature drop for every thousand feet that an airplane climbs

SSSSS [86.1K]

Answer:

34.1 degrees

Step-by-step explanation:

given that the temperature drops 3.1 degrees for every thousand feet of elevation.

for an altitude of 11,000 feet (i.e 11 x 1000 feet), the temperature (compared to ground level) would drop,

= 3.1 deg / 1000-foot x 11,000 feet

= 34.1 degrees

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4 years ago

The population of a local species of bees can be found using an infinite geometric series where a1=860 and the common ratio is 1

erma4kov [3.2K]

$a_1=860$
$a_2=\dfrac{a_1}5$
$a_3=\dfrac{a_2}5=\dfrac{a_1}{5^2}$
$\vdots$
$a_n=\dfrac{a_{n-1}}5=\dfrac{a_{n-2}}{5^2}=\cdots=\dfrac{a_1}{5^{n-1}}$

The $k$ th partial sum is

$\displaystyle S_k=\sum_{n=1}^ka_n=\sum_{n=1}^k\frac{a_1}{5^{n-1}}$
$S_k=a_1\left(1+\dfrac15+\dfrac1{5^2}+\cdots+\dfrac1{5^{k-2}}+\dfrac1{5^{k-1}}$
$\dfrac15S_k=a_1\left(\dfrac15+\dfrac1{5^2}+\dfrac1{5^3}+\cdots+\dfrac1{5^{k-1}}+\dfrac1{5^k}\right)$

$\implies S_k-\dfrac15S_k=a_1\left(1-\dfrac1{5^k}\right)$
$\dfrac45 S_k=860\left(1-\dfrac1{5^k}\right)$
$S_k=1075-\dfrac{1075}{5^k}$

As $k\to\infty$ , we're left with

$\displaystyle\sum_{n=1}^\infty a_n=\lim_{k\to\infty}\left(1075-\frac{1075}{5^k}\right)=1075$

which is the upper limit to the population of the bees.

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3 years ago

What is the remainder to x^3+4x^2+x-6 divided by (x-1)

serg [7]

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