Add. 4 7/12 + 2 3/4 + 7 5/12

3.1x10^8 - 3.38x10^7 scientific notation

Lilit [14]

Answer: 2.762 * 10⁸

Step-by-step explanation:

3.1 * 10⁸ - 3.38 * 10⁷

= (3.1 * 10⁸) - (3.38 * 10⁷)

= (3.1 * 10⁸) - (0.338 * 10⁸)

= 2.762 * 10⁸

Hope this helps

6 0

2 years ago

The World Health Organization analyzed generic drugs in 45 countries. It collected 3,575 samples. The sample proportion that tes

Oksi-84 [34.3K]

Answer:

People's health benefits from the drug is very low.

Step-by-step explanation:

From the question, the generic drugs from the population proportion has 1% placebo effect which is very low. This means that the beneficial health outcome resulting from people ’s anticipation that an intervention will help from the generic drug is very low.

4 0

2 years ago

Part 1: Use the information provided to write the vertex form equation of each parabola.

Alex787 [66]

Answer: $\bold{1.\quad y=-\dfrac{1}{2}(x-9)^2+10}$

2. x = (y - 1)² + 4

$\bold{3.\quad x=\dfrac{1}{2}(y-2)^2+7}$

Step-by-step explanation:

Notes: The vertex form of a parabola is y = a(x - h)² + k or x = a(y - k)² + h

(h, k) is the vertex
p is the distance from the vertex to the focus

$\bullet\quad a=\dfrac{1}{4p}$

1)

$\text{Vertex}=(9, 10)\qquad \text{Focus}=\bigg(9,\dfrac{19}{2}\bigg)\\\\\text{Given}:(h, k)=(9, 10)\\\\\\p=focus-vertex=\dfrac{19}{2}-\dfrac{20}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}\\$

Now input a = -1/2 and (h, k) = (9, 10) into the equation y = a(x - h)² + k

$\bold{y=-\dfrac{1}{2}(x-9)^2+10}$

*****************************************************************************************

2)

$\text{Vertex}=(4, 1)\qquad \text{Focus}=\bigg(\dfrac{17}{4},1\bigg)\\\\\text{Given}:(h, k)=(4, 1)\\\\\\p=focus-vertex=\dfrac{17}{4}-\dfrac{16}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1\\$

Now input a = 1 and (h, k) = (4, 1) into the equation x = a(y - k)² + h

x = 1(y - 1)² + 4 → x = (y - 1)² + 4

*****************************************************************************************

3)

$\text{Vertex}=(7, 2)\qquad \text{Focus}=\bigg(\dfrac{15}{2},2\bigg)\\\\\text{Given}:(h, k)=(7, 2)\\\\\\p=focus-vertex=\dfrac{15}{2}-\dfrac{14}{2}=\dfrac{1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{2})}=\dfrac{1}{2}$

Now input a = 1/2 and (h, k) = (7, 2) into the equation x = a(y - k)² + h

$\bold{x=\dfrac{1}{2}(y-2)^2+7}$

6 0

2 years ago

An election ballot asks his voters to select five City commissioners from a group of 14 candidates and how many ways can this be

kompoz [17]

The answer is
N = 15C4 = 1365 ways

5 0

2 years ago

What is (x2 – 3x - 10) = (x + 2)? A. x-5 B. x+2 C. x-1 D. -5x-10

tamaranim1 [39]

Answer:

x=6

Step-by-step explanation:

(x^2 – 3x - 10) = (x + 2)

Factor the term on the left

(x-5) (x+2) =x+2

Divide each side by x+2

x-5 = 1

Add 5 to each side

x-5+5 =1+5

x=6

5 0

2 years ago