In 2000, the number of people infected by a virus was P. Due to a new vaccine, the number of infected people has decreased by 11% each year since 2000? Find the formula for P = f(n), the number of infected people n years after 2000.

Answer:

Priyah = 15

Amirah = 19

Shirley = 13

Step-by-step explanation:

Let A represents Amirah, P Priyah and S, Shirley.

So, we have:

[tex]A = 4 + P[/tex] --- 4 years older

[tex]S = P - 2[/tex] --- 2 years younger

[tex]A + P + S = 47[/tex]

Required

Find their ages

Substitute 4 + P for A and P - 2 for S in [tex]A + P + S = 47[/tex]

[tex]4 + P + P + P - 2 = 47[/tex]

[tex]4 + 3P - 2 = 47[/tex]

Collect Like Terms

[tex]3P = 47 - 4+ 2[/tex]

[tex]3P = 45[/tex]

Divide both sides by 3

[tex]P = \frac{45}{3}[/tex]

[tex]P = 15[/tex]

Substitute 15 for P in [tex]A = 4 + P[/tex] and [tex]S = P - 2[/tex]

[tex]A = 4 + 15[/tex]

[tex]A = 19[/tex]

[tex]S = 15 - 2[/tex]

[tex]S = 13[/tex]

Answer:

The correct answer is: Option D) 5

Step-by-step explanation:

Given equation is:

[tex]3(x + 2) + x = 2x + 16[/tex]

In order to find that which values of x makes the equation true, we have to put each value of x in the equation. When both sides of equations will be equal, that value of x will be true for the equation.

Putting x = 2

[tex]3(2 + 2) + 2 = 2(2) + 16\\3(4)+2 = 4+16\\12+2 = 20\\14 \neq 20[/tex]

Putting x = 3

[tex]3(3 + 2) + 3 = 2(3) + 16\\3(5)+3 = 6+16\\17+3 = 22\\20 \neq 22[/tex]

Putting x=4

[tex]3(4+2)+4 = 2(4)+16\\3(6)+4 = 8+16\\18+4 = 24\\22 \neq 24[/tex]

Putting x = 5

[tex]3(5+2)+5 = 2(5)+16\\3(7)+5 = 10+16\\21+5 = 26\\26 = 26[/tex]

The equation is true for x = 5

Hence,

The correct answer is: Option D) 5

Answer:

B. .60

Step-by-step explanation:

With reference angle A

perpendicular (p) = 6

hypotenuse (h) = 10

Then

Sin A

= p/h

= 6 / 10

= 0.6

Answer:

Option B

Step-by-step explanation:

We know that

[tex] \sin( \alpha ) = \frac{side \: opposite \: to \: \alpha }{hypotenuse \: of \: triangle} [/tex]

where [tex] \ alpha [/tex] is an angle of a triangle.

In the triangle given above , [tex] \ alpha = angle A [/tex]. So,

[tex] \sin(a) = \frac{6}{10} = 0.60[/tex]

Answer:

Its the first choice. Width:9 Length:13

Step-by-step explanation:

If the length is 4 meter more than the width than that means whatever the width is you must add 4 to it, in this case the width is 9 so add 4 to it which equals 13. If the length matches your answer it is the correct choice.

The area of a rectangle is the product of its dimensions. The dimension of the rectangle is: [tex]Length = 13m[/tex] and [tex]Width = 9m[/tex]

Given that:

[tex]L =4 + W[/tex]

[tex]Area = 117[/tex]

The area of a rectangle is:

[tex]Area = L \times W[/tex]

So, we have:

[tex]L \times W= 117[/tex]

Substitute [tex]L =4 + W[/tex]

[tex](4 + W) \times W = 117[/tex]

Expand

[tex]4W + W^2 = 117[/tex]

Rewrite as:

[tex]W^2 + 4W- 117 = 0[/tex]

Expand

[tex]W^2 + 13W - 9W - 117 = 0[/tex]

Factorize

[tex]W(W + 13) - 9(W + 13) = 0[/tex]

Factor out W + 13

[tex](W - 9)(W + 13) = 0[/tex]

Solve for W

[tex]W = 9[/tex] or [tex]W = -13[/tex]

The dimension cannot be negative.

So:

[tex]W = 9[/tex]

Recall that:

[tex]L =4 + W[/tex]

[tex]L = 4 + 9[/tex]

[tex]L = 13[/tex]

So, the dimension of the rectangle is:

[tex]Length = 13m[/tex]

[tex]Width = 9m[/tex]

Read more about areas at:

https://brainly.com/question/15218510

Answer:

i hoped i helped if i didnt sry

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

4.22

Answer:

The number of feet of fencing that he needs will be equal to the perimeter of the circular patio.

We know that the perimeter of a circle of radius R is equal to:

P = 2*pi*R

where pi = 3.14

Then if the radius of the patio is 70ft, the perimeter of the patio will be:

P = 2*3.14*70ft = 439.6 ft

Then he needs 439.6 ft of fencing to enclose the patio.

9514 1404 393

Answer:

  11 1/9%

Step-by-step explanation:

1/9 × 100% = (100/9)% = (11 1/9)%

Answer:

[tex]\pi \\ \\ \\ \\ \\ \\ \\ \\ \\ [/tex]

Answer:

9 feet

Step-by-step explanation:

Hi there!

[tex]\large\boxed{(3) \text{ } 4x^{3} - x^{2} + 3x + 13}[/tex]

Given:

A = 6x³ - x² + 4x + 8

B = 2x³ + x - 5

Find A - B by subtracting the two equations. Subtract like-terms:

6x³ - x² + 4x + 8 - (2x³ + x - 5)

Simplify:

6x³ - x² + 4x + 8 - 2x³ - x + 5 =

4x³ - x² + 3x + 13. The correct choice is 3.

Answer:

z = 22

Step-by-step explanation:

Since this is a rhombus, we know that parallel sides are equal in length and that the angles should add to 360 degrees. The opposing angles, therefore, are also equal in size. So, you can find the answer by setting the two angles to each other.

3z = z + 44

2z = 44

z = 22

Answer:

z=22

Step-by-step explanation:

3z = z + 44

3z - z = 2z

2z = 44

z = 22

Answer:

$1.60

Step-by-step explanation:

So, to find the persent of a number, we need to make the percent a decimal.

So, 20% is equal to 0.2

Then, we need to multiply 0.2*8

       8.0

*      0.2

________

       1.6

So, our answer is 1 dollar and 60 cents!

Answer:

$1.60 (shorter answer)

Answer:

D

Step-by-step explanDation:

Answer:

b<−10

Step-by-step explanation:

Answer:

b<-10

Step-by-step explanation:

Inequality: -b-2>8

Step 1: Add 2 to both sides

-b-2+2>8+2

-b>10

Step 2: Divide both sides by -1

-b > 10

_      _

-1     -1

b<-10

Hope this helps you!!!!

Answer:

1 pack of butter, and 360 grams flour.

Step-by-step explanation:

it just mental math, and i kinda forget how i even got the answer, but its 1 because she only needs 240 grams. and also 360 flour.

Answer:

I'll give you the correct answer:

a) You need to times 60 by 3: 60*3. This will get you 180g, which gets your first mark.
Next, you must times 180 by 4: 180*4. This gets you 720g, and there's your final answer + the last marks.

b) (i) 420g

 (ii) 2 packs, because there is 240 g in one pack so you times it by two.

Hope this helps!

Answer:

F.

A.

Step-by-step explanation:

hope this helps you

Answer:

9 miles

Step-by-step explanation:

Answer:

the percentage of 60/80 is 75

Answer:

Hi! The correct answer is $75 for 20 hours.

Step-by-step explanation:

Answer:

A = 1/2 l*w

So the answer is 4.

Answer:

area=1/2(bh)

area=1/2(2 times 4)

area=1/2(8)

area=4

:)

Answer:

245 times in 1.75 minutes.

Step-by-step explanation:

Hope this helps!!!

Can I have brainliest???

Answer:

10 jerseys :)))