Answer:
the proportion of people who are sick after two weeks is 33.2%
Step-by-step explanation:
Given the data in the question;
Let there be 100 people in the city;
20% of them are sick( 20/100 × 100) = 20 people
so 80% are fine = ( 100 - 20 ) = 80
after one week, 40% of the people who were sick are still sick
40/100 × 20 = 8%
of the 80% of people who were well, 30% got sick after one week
30/100 × 80 = 24%
so after one week. 8% + 24% = 32% of the people were sick,
hence 68% are fine.
now, after second week 40% of sick and 30% of not sick people previously will be sick
∴ Total people who are sick after two weeks
⇒ 40/100 × 32 + 30/100 × 68
= 12.8 + 20.4
= 33.2
Therefore, the proportion of people who are sick after two weeks is 33.2%
Suppose that the functions g and f are defined as follows.
g(x)=-3+2x^2
f(x)=9-6x
a. Find (g/f)(2)
b. Find all values that are NOT in the domain of g/f
If there is more than one value, separate them with commas.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
[tex]\to g(x)= -3+2x^2 \\\\\to f(x)=9-6x[/tex]
Calculating the value of [tex](\frac{g}{f})(2)[/tex]:
[tex]\to (\frac{g}{f}) (2)= (\frac{g(x)}{f(x)}) \times (2)[/tex]
[tex]=\frac{2x^2-3}{9-6x} \times 2\\\\=\frac{2\cdot 2^2-3}{3(3-2\cdot 2)} \\\\=\frac{2\cdot 4-3}{3(-1)}\\\\ =\frac{8-3}{-3}\\\\ =\frac{5}{-3}\\\\ = - \frac{5}{3}\\\\[/tex]
x=[tex]- \frac{\sqrt{3}}{2}[/tex] and x=[tex]\frac{\sqrt{3}}{2}[/tex] are not in the domain.
Domain: [tex]x \belong (- \infty, -\frac{\sqrt{3}}{2})\cup (- \frac{\sqrt{3}}{2}, \frac{\sqrt{3}}{2} )\cup (\frac{\sqrt{3}}{2}, \infty)[/tex]
explain how to find 27 percent of 16
Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.
4.32
Use the given functions to answer the question. F(x)=x^2
Write an expression that represents the height of a tree that begins at 7 feet and increases by 2 feet
per year. Let t represent the number of years.
(Type integers or decimals.)
Enter your answer in the edit fields and then click Check Answer.
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Answer:
H(t) = 7 + 2t.
Step-by-step explanation:
H(t) means the height at time t:
H(t) = 7 + 2t.
Which number will you read 'two-tenths'?
Answer: two-tenths as a fraction is 2/10, and as a decimal it's 0.2.
Step-by-step explanation: The "0" is the ones place and the "2" is the tenths place. There is a chart below.
express 180 as a percentage of 200
Answer:
90%
Divide 180 by 200, and you get .9. Convert that into. a percentage
How do I show work for this?
Answer:
you don't because its not relivant
Step-by-step explanation:
Answer:
You dont need too. Im assuming this is ALEKS
Step-by-step explanation:
Someone help me on question 10 please!
Answer:
Step-by-step explanation:
500÷9=55.56miles/h (correct to 3 decimal places)
can someone help me with this please?
Answer:
3x+6
Step-by-step explanation:
Distributive property is where youre multiplying the inside numbers by the outside number and it cannot be further simplified
9. If the area of a square is given by the polynomial 4x2 – 36x + 81, then which of the following expressions represents the length of one side of the square?
A 2x - 9
B 2x + 9
C 4x - 18
D 4x + 18
Answer:
it is b
Step-by-step explanation:
What is ( 2 ⅓ * x ) + x?
Answer:
10x/3
Step-by-step explanation:
10x/3.............................
I need help! Please help me!
Answer:
y=20
Step-by-step explanation:
that what i got
What single decimal multiplier would
you use to increase by 17% followed by
a 15% decrease?
Answer:
i think 1.17 and 0.85
Step-by-step explanation:
6(2x - 5) = -(x + 4)
[tex]6(2x - 5) = - (x + 4)[/tex]
[tex]12x - 30 = - x - 4[/tex]
[tex]13x = 26[/tex]
[tex]x = 2[/tex]
Answer:
x = 2
Step-by-step explanation:
Solve for x:
6(2x - 5) = -(x + 4)
Use the distributive property.
12x - 30 = -(x + 4)
12x - 30 = -x - 4
Add x to both sides.
13x - 30 = -4
Add 30 to both sides.
13x = 26
Divide both sides by x.
x = 2
Your final answer would be x = 2
What is the value of x?
x+4/9=3/4
x = ¹¹⁄₃₆ Or 0.30555555555
Explanation:x + ⁴⁄₉ = ¾
Subtract ⁴⁄₉ From Each Sidex + ⁴⁄₉ - ⁴⁄₉ = ¾ - ⁴⁄₉
Simplifyx = ¹¹⁄₃₆ Or 0.30555555555
- PNW
Write an expression for the number of small squares in pattern n
Please properly answer.
Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
In how many different ways can you answer a multiple cholce test that has 5 questions and 3 choices for each answer?
a) 243
b) 125
c) 15
Answer:
243
Step-by-step explanation:
3*3*3*3*3
helppp 30 pionts ............................................................
Answer:
I think these will work 2/4, 14/16, 4/8 if not sorry
Step-by-step explanation:
Answer:
1/2 = 2/4
7/8 = 14/16
1/2 = 5/10
Step-by-step explanation:
i h0pe this is c0rrect-
For each gym membership sold, the gym keeps $42 and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym me
Answer:
Commission of the employee = 16%
Step-by-step explanation:
It is given that:
Amount kept by gym = $42
Amount given to employee = $8
Total fee = 42 + 8 = $50
Commission rate = [tex]\frac{Commission}{Total\ fee}*100[/tex]
Commission rate = [tex]\frac{8}{50}*100[/tex]
Commission rate = 0.16 * 100 = 16%
Therefore,
Commission of the employee = 16%
Answer:
Yeah I'm pretty much just clarification that it's 16% if anyone was wondering ;-; I don't really have much purpose here
I need help finding the area of this shape can you please help
Answer: 139.27
Step-by-step explanation:
So let find the area of the black swuare the length is 10 and the widith is 10, using bxh the area is 100. Now let find the aea of the semi-circle. The area of a fill circle is pi radius squared so a semi circle area will be 1/2( pi radius squared). The radius is 5 so we can calculate 1/2 of 25 pi equal = 39.27. Now let add the areas: 100+39.27=139.27.
which solution matches both equations ?
You are using the equation 4(p – 7) = 44 to determine how many pictures can be saved at one time to the photo stream on your cell phone. Describe the operations in the order that you will perform them to solve the equation.
Answer:
4p-28=44, 4p=44+28, p=72÷4, p=18
The system of x+2y=5 and 3x+6y=k has infinite solutions find the value of k
A. 18
B. 5
C. 15
D. 10
very easy 5th grade math. please look at photo and answer!! giving brainiliest
Answer:
Back Prism: 60
Front Prism: 90
Total Volume: 150
Step-by-step explanation:
1). Solve for n n + 46 = 67
Help helps please help
Answer:
n=21
Step-by-step explanation:
Subtract 46 from both sides.
n+46−46=67−46
n=21
Answer:
n=21
Step-by-step explanation:
46-67=21
21=n
So the answer is 21.
Which two expressions are equivalent
Answer:
A
Step-by-step explanation:
A) the only answer in which the distributive property is used correctly.
A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK
Answer:
720
Step-by-step explanation:
10 times 9 times 8 equals 720
720 ways can the team choose one captain and then two assistants.
We need to find how many ways can the team choose one captain and then two assistants.
What is the formula to find the permutation?The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].
Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]
=10×9×8×7!/7!=720
Therefore, one captain and then two assistants can be chosen in 720 ways.
To learn more about the permutation visit:
https://brainly.com/question/1216161.
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I don't understand the problem can someone help?
Answer:
209
Step-by-step explanation:
we know 6 to the third power is 6 x 6 x 6 which we know equals 216. We know 14 divided by 2 is 7. So, 216 minus 7 is 209. That’s your answer (brainliest please?)
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
c
Step-by-step explanation:
because all the x values in c are different
List two examples of words/phrases that describe the mathematical operation of multiplication.
Answer:
Multiplied, Group Addition
Step-by-step explanation:
Again, all I know of.