The correct answer would be Choice D.
I assume you mean to have square root signs in the empty spaces between the numbers.
For choice D, you are adding -4 square roots of 6 and 4 square roots of 6. The answer to that is zero. Which is not an irrational number.
Answer:
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
Step-by-step explanation:
Given that a roller coaster ride reach a height of 80 feet.
The height above the ground of the roller coaster is modeled by the function
h(t)=10t²-40t+80
where t is measured in second.
h(t)=10t²-40t+80
Differentiating with respect to t
h'(t)= 10(2t)-40
⇒h'(t)=20t-40
To find the minimum height we set h'(t)=0
∴20t-40=0
⇒20t =40
⇒t=2
The height of the roller coaster minimum when t=2 s.
The minimum height of of the roller coaster is
h(2)= 10(2)²-40.2+80
=40-80+80
=40 feet.
Therefore the car takes 2 s to reach a minimum height from the ground before rising again.
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Step-by-step explanation:
Let x be the number of quarts of 100% fruit juice
Let y be the number of quarts of 20% fruit juice
The equation for amount of quarts is ;
x+y=6
x=6-y-------------------equation 1
The equation for the amount of quarts of fruit juice to get 80% fruit juice will be;
x(100%)+y(20%)=80%------however you need to make 6 quarts so divide first portion of equation by 6
{x(100%)+y(20%) }/6=80%
Multiply both parts of the equations by 6
x(100%)+y(20%)=480% --------------equation 2
Use equation 1 in 2
(6-y)(100%)+y(20%)=480%
600-100y+20y=480
600-80y=480
600-480=80y
120=80y
120/80 =y
1.5=y
Use the value of y in equation 1
x=6-y , x= 6-1.5=4.5
So you have,
1.5 quarts of 20% fruit juice and 4.5 quarts of 100% fruit juice.
Learn More
Mixtures equations;brainly.com/question/11898822
Keywords : quarts,party,bottles,punch
#LearnwithBrainly
