Answer:
A) 12.5%
B) 50%
C) 50%
Step-by-step explanation:
For A, 7 is one of the 8 possibilities (1/8). 1/8 of 100 is 12.5, so your chance of spinning a 7 is 12.5%
For B, even numbers are 4/8 or 1/2 of your options. 1/2 of 100 is 50, so your chance of spinning an even number is 50%
For C, there are 4 out of 8 numbers that are prime (2,3,5, & 7).
4/8 or 1/2 of 100 is 50, so your chance of spinning a prime number is 50%
hope this helps
Answer:
x=7, -2.
Step-by-step explanation:
x^2-5x=14
x^2-5x-14=0
factor out the trinomial,
(x-7)(x+2)=0
zero property,
x-7=0, x+2=0,
x=0+7=7,
x=0-2=-2
Answer:
g(6) = 71
f(11) = 62
Step-by-step explanation:
Let's solve g(6) first
Plug 6 into x
g(6) = 2(6)^2 - 1
g(6) = 2(36) - 1
g(6) = 72 - 1
g(6) = 71
Now let's solve f(11)
f(11) = 5(11) + 7
f(11) = 55 + 7
f(11) = 62
<em>Thus, out answers are 71 and 62 respectively</em>
Answer:
Step-by-step explanation:
Given that the number of people with Alzheimer's disease in the United States age 65 years and over is projected to be

where N is in millions where year 2010 corresponds to t=0
For 2020, 10 years lapsed hence t= 1
a) 
So 4.78025 million people
b) Growth = N(1)-n(0) =0.08025 million
c) N(4) = 5.084
Average rate of change = (5.084-4.7)/4 =0.096 million per decade
<h3>
The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient. </h3>
Step-by-step explanation:
Let
Number of salmon steak = x
Number of baked eggs =y
and Number of acorn squash =z
Total amount of protein that is provided to the patient =40 x +20 y+3 z
Total amount of carbohydrates that is provided to the patient = 20 x+2y +15z
Total amount of vitamin A that is provided to the patient = x+25 y+ 37z
According to the problem,
40x+20y+3z=126, 20x+2y+15z=82 and x+25y+37z= 101.5
Solving the above equations
we get x= 2.5 ,y= 1 and z=2
So , The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient.