3 years ago

Y varies inversely with x: If y = 10 while x = 3, find y when x = 6.

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

8 0

Answer:

y= 5

Step-by-step explanation:

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What is the second term of the expand the binomial above. (8v + s)5

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(8v + s)5 (multiply 5 into the parentheses)

(8v × 5) + (s × 5)

40v + 5s

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3 years ago

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If it starts out at -10 degrees, what will the temperature be if it rises 30 degrees?

Bond [772]

add 30 to -10:

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Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m

ch4aika [34]

Answer:

$\ln x+\frac{1}{3}\ln (x^2+1)$

Step-by-step explanation:

Consider the given expression is

$\ln (x\sqrt[3]{x^2+1})$

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$\ln (x(x^2+1)^{\frac{1}{3}})$ $[\because \sqrt[n]{x}=x^{\frac{1}{n}}]$

Using the properties of logarithm we get

$\ln x+\ln (x^2+1)^{\frac{1}{3}}$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln x+\frac{1}{3}\ln (x^2+1)$ $[\because \ln (a^b)=b\ln a]$

Therefore, the simplified form of the given expression is $\ln x+\frac{1}{3}\ln (x^2+1)$ .

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3 years ago

Convert 15 g to kilograms

Mama L [17]

15 grams is equal to 0.015 kilograms

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3 years ago

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig

Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

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3 years ago