The variables x and y are directly proportional, and y = 2when x = 3. What is the value of y when x = 9 ?

Answers

Answer 1

Answer: y=8 sorry if I'm wrong but if x=3 and y=2 then y must =8

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Simplify the following: a) ((w^-5)/(w^-9))^1/2
b) (m^6)^-2/3
c) (3x^-4y^5)/((2x^3y^-7))^-2

Answers

a. $((w^(-5))/(w^(-9) ))^{ (1)/(2) } \n ( (w^(9) )/(w^(5) ))^{ (1)/(2) } \n (w^(9-5))^{ (1)/(2) } \n (w^(4))^{ (1)/(2) } \n \sqrt{w^(4) } \n w^(2)$
b. $(m^(6))^{ (-2)/(3) } \n ((1)/(m^(6) ))^{(2)/(3) } \n \frac{ \sqrt[3]{1^(2) } }{ \sqrt[3]{m^(6) }^(2) } \n \frac{ \sqrt[3]{1} }{m^(2*2) } \n (1)/(m^(4) )$
Hope this helps!

Problem A
$((w^(-5))/(w^(-9)))^{{(1)/(2)}$ = $((w^(9))/(w^(5)))^{{(1)/(2)}$ = $(w^(4))^{{(1)/(2)}$ = $\sqrt[2]{w^(4)}$ = $w^(2)$

Problem B
$(m^(6))^{-(2)/(3)}$ = $\frac{1}{(m^(6))^{(2)/(3)}}$ = $\frac{1}{\sqrt[3]{(m^(6))^(2)}}$ = $\frac{1}{\sqrt[3]{m^(12)}}$ = $(1)/(m^(4))$

Problem C
$((3x^(-4)y^(5))/(2x^(3)y^(-7)))^(-2)$ = $((3y^(12))/(2x^(7)))^(-2)$ = $((3y^(12))^(-2))/((2x^(7))^(-2))$ = $((2x^(7))^(2))/((3y^(12))^(2-))$ = $(4x^(14))/(9y^(24))$

jamie has 8/10 of a candy bar leftover .He wants to split it into 1/3 pieces How many 1/3 pieces can he make

Answers

see if this helps u: brainly.com/question/2093945 I hope this helps.

There are 35 students in Zacks class.Out of the 35,16 prefer chocolate ice cream to vanilla (46%),while 9 prefer vanilla to chocolate (26%).What does this mean?

Answers

D) 46% of the students like chocolate ice cream better than they like vanilla ice cream.

If you prefer something or someone over another, then that normally means you like it better than the other.

D) is the correct answer because in this description it doesn't say that any of the students dislike a type of ice cream, just that they don't prefer it.

Henry is four times older than James. Next year, Henry will be three times older than James will be. How old are Henry and James now?
a. James is 3 years old; Henry is 4 years old.
b. Henry is 4 years old; James is 3 years old.
c. James is 2 years old; Henry is 8 years old.
d. James is 8 years old; Henry is 8 years old.

Answers

The answer would be C. James is 2, Henry is 8.
This year, Henry is 4 times older than James. (2×4=8)
Next year, Henry will be 3 times older than James. (3×3=9)

Solve, log.5^4+log4^.5

Answers

First, let's expand the logarithms.
$log _(5) 4+log_(4)5 = (log4)/(log5)+(log5)/(log4)$
This because $log_(y)x$ is equivalent to $(logx)/(logy)$
From there, you need to use a calculator to find the exact numerical value.
$(log4)/(log5)+(log5)/(log4) = 2.02231716359$

Solve each question for X , y=-9+x^2

Answers

so basically you want to isolate only one of the variable on one side so
y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
$√(y+9)=x$

x= $√(y+9)$

y = -9 + x^2
y + 9 = -9 + 9 + x^2
y + 9 = x^2
√y+9 = √x^2
√y+9 = x
x = √y+9

√ is the square root symbol

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