Answer:a
Step-by-step explanation:hhehenndherndur
Hey Katie
4^2x+3 = 1
We need to solve for x
log(4^2x+3) = log (1)
Now take log of
(2x +3) * log (4) = log (1)
2x + 3 = log(1)/log(4)
2x + 3 = 0
2x = 0 - 3
2x = -3
x = -3/2
I hope that's help !
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
In this question we must determine the correct volumes of each paint to obtain a 20 % gloss with paint by means of weighted averages:
(1)
Where:
- Proportion of the paint that is 30 % gloss. 
- Concentration ratio of the paint that is 30 % gloss.
- Concentration ratio of the paint that is 15 % gloss.
- Resulting concentration ratio
If we know that 
, 
and 
, then the proportion of the paint that is 30 % gloss is:
And the quantity of gallons needed of each paint are:
Paint (30 % gloss)
Paint (15 % gloss)
The paint mixer should mix 1.238 gallon paint that is 30 % gloss and 2.512 gallon paint that is 15 % gloss to get 3.75 gallon of paint that is 20 % gloss.
To learn more on weighted averages, we kindly invite to check this question: brainly.com/question/18554478
5x^2+8x+3=0
factor
(5x+3) (x+1)=0
using the zero product property
5x+3 =0 x+1 =0
5x=-3 x=-1
x=-3/5 x=-1
Volume of the cone = 1/3 pi * 3^2 * 4 = 12pi
Volume of the hemisphere = 4/3 pi 3^3 * 1/2 = 18pi
So the volume of the toy = 12pi + 18pi = 30pi = 94.25 cm^3 to nearest hundredth Answer
Surface area of hemisphere = 1/2 * 4 pi 3^2 = 18pi
Lateral Surface area of the cone = pi r l where l = slant height of the cone
Now l= sqrt ( 4^2 + 3^2) = sqrt25 = 5
So lateral S A = 3 * 5 * pi = 15pi
Surface area of the toy = 18pi + 15pi = 33pi = 103.67 cm^2 ( nearest hundredth) Answer
