Answer:
2,3,5,6
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
exponent to log: 
= c ---> logₐc = b
ie. question 6
log ₁₀(3x+1) = 2 -----> 
that will get you through questions 1 to 3, 5 to 6, and 8
in question 4, all you have to do is know that 2^2 = 4 and 2^3 = 8, by setting the bases equal, you can manipulate the exponents to get 2x+8 = 3x-3
for questions 7 and 9,
remember that:
logₐc + logₐd = logₐ(cd)
logₐc - logₐd = logₐ(
)
remember change of base is 
, this will be useful if you need your calculator since calculators only have base 10 and maybe if your calculator is good enough natural base e
Yes because they are equal values
Answer:
The cup can hold 497.17 in³ of liquid.
Step-by-step explanation:
The shape of the glass can be divided in two figures, the first one is a cilinder with radius 5 in and height 3 in, while the second is a half sphere with radius 5 in. Therefore in order to calculate the volume of liquid the glass can hold we need to calculate the volume of each of these and sum them.
Vcilinder = pi*r²*h = 3.14*5²*3 = 235.5 in³
Vhalfsphere = (2*pi*r³)/3 = (2*3.14*5³)/3 = 261.67 in³
Vcup = Vcilinder + Vhalfsphere = 235.5 + 261.67 = 497.17 in³
The cup can hold 497.17 in³ of liquid.
X = 8
18+90 = 108
180-108=72
72/9=8
