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3 years ago

Please help me with this!!!!!!!!!!

Mathematics

1 answer:

Nat2105 [25]3 years ago

4 0

It's the bottom one. Miko found the incorrect and checked her work using multipication incorrectly.

This is because the correct way to solve this would to use (5/1) * (3/5) = (15/5) then simplify it to 3/1 or simply 3.

Dividing fractions is simply flipping the second fraction and then multiplying across

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Can someone help me in #66

VladimirAG [237]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\ \quad \\
% Logarithm of rationals
log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
$

$\bf log_4\left( \cfrac{\sqrt{x^5y^7}}{zw^4} \right)\implies log_4(\sqrt{x^5y^7})-log_4(zw^4)
\\\\\\
log_4\left[(x^5y^7)^{^\frac{1}{2}}\right]-log_4(zw^4)\implies 
\cfrac{1}{2}log_4\left[(x^5y^7)\right]-log_4(zw^4)
\\\\\\
\cfrac{1}{2}\left[ log_4(x^5)+log_4(y^7) \right] -[log_4(z)+log_4(w^4)]
\\\\\\
\cfrac{1}{2}log_4(x^5)+\cfrac{1}{2}log_4(y^7)-[log_4(z)+log_4(w^4)]$

$\bf \cfrac{1}{2}\cdot 5log_4(x)+\cfrac{1}{2}\cdot 7log_4(y)-log_4(z)-4log_4(w)
\\\\\\
\cfrac{5}{2}log_4(x)+\cfrac{7}{2}log_4(y)-log_4(z)-4log_4(w)$

6 0

3 years ago

Mike thought of a number. He added to it to two other numbers. One of these numbers was 12 less than his number, the other was 1

Inessa [10]

Answer:

number 1 + number 2 + number 3 = 15

Number 1 = x + 12

Number 2 = x - 12

Number 3 = x

(x + 12) + (x - 12) + x = 15

x + 12 + x - 12 + x = 15

x + x + x +12 -12 = 15

3x = 15

x = 15/3 = 5

Check:

Number 1 = 17

Number 2 = 5 -12 = -7

Number = 5

number 1 + number 2 + number 3 = 15

17 + (-7) + 5 = 15

10 + 5 = 15

15 = 15

Answer is 5

Step-by-step explanation:

5 0

3 years ago

-3x-3y=3 and y=5x-17

Vesna [10]

The answer for this question is "y = -5/3 and x = 8/3"

5 0

3 years ago

Y=6x/5 +27 find y-intercept and slope

mixas84 [53]

Answer:

General equation of a line is given by y = mx +c, where m is the gradient /slope, c is the intercept. To find for the intercept on y- axis, put x = 0.
$y = \frac{6(0)}{5 } + 27 \\ y = \frac{0}{5} + 27 \\ y = 27 \\ therefore \: the \: intercept \: on \: y \: is \: 27 \\$
By comparison,
$y = mx + \: c \\ y = \frac{6}{5} x \: +27 \\ m = \frac{6}{5 \: } \: \\ hence \: slope \: is \: \frac{6}{5}$

5 0

3 years ago

Researchers wanted to see which species of lizard (A, B, or C) is most likely to survive a bacterial infection. So they infected

Slav-nsk [51]

Answer:

A) attached below

B) 0.61

C) 0.47

Step-by-step explanation:

Given data:

Total number of lizards infected = 38

Of the 15 species B lizards 40% survived

For specie C one more survived than died

Out of the 24 lizards that died 1/3 were species A

A) contingency table

attached below

B) Determine the proportion of these lizards in this study that were either specie A or Specie B

P ( A or B ) = ( 8 + 15 ) / 38 = 0.605 ≈ 0.61

C) determine the probability that specie C lizard did not study

P ( not surviving | C ) = 7 / 15 = 0.466 ≈ 0.47

7 0

3 years ago