Top right would be rhombus
Answer:
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
Step-by-step explanation:
P.S - The exact question is -
Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.
Sidney’s Grades Phil’s Grades
Mean 82 78
Mean Absolute Deviation 3.28 3.96
To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?
Proof -
Given that Mean of Sidney Grades = 82
Mean of Phil's Grades = 78
So,
The difference of two means = 82 - 78 = 4
Also,
Given, Mean Absolute Deviation of Sydney = 3.28
Now,
The ratio of the difference of the two means to Sidney's mean absolute deviation =
= 1.2195
Newton's Law of Cooling
Tf=Ts+(Ti-Ts)e^(-kt) where Tf is temp at time t, Ts is temp of surroundings, Ti is temp of object/fluid. So we need to find k first.
200=68+(210-68)e^(-10k)
132=142e^(-10k)
132/142=e^(-10k)
ln(132/142)=-10k
k=-ln(132/142)/10
k≈0.0073 so
T(t)=68+142e^(-0.0073t) so how long until it reaches 180°?
180=68+142e^(-0.0073t)
112=142e^(-0.0073t)
112/142=e^(-0.0073t)
ln(112/142)=-0.0073t
t= -ln(112/142)/(0.0073)
t≈32.51 minutes
Answer:
The simplest radical form is
⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
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<em><u>Examples:</u></em>
1. Simplify 
factorize 8 using prime numbers
8 = 2 × 2 × 2, then 
Take two of 2 out the root, then 
2. Simplify 
factorize 18 using prime numbers
18 = 2 × 3 × 3, then 
Take the two 3 out the root, then 
Let us simplify 
∵ 45 = 3 × 3 × 5
∴ 
→ Take the two 3 out by one 3
∴ 
→ Multiply the numbers out the root
∴ 
∴ The simplest radical form is 
Answer:
Option C will be the answer.