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Vera_Pavlovna [14]

2 years ago

6

Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and 60% regularly consume at lea

st one of these two products

1 answer:

Ad libitum [116K]2 years ago

8 0

Please type the question to your problem

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The ratio of enlisted men to officers in a division is 25 to 1.

9966 [12]

The answer is 40.

1000/25 will give you the new ratio

Simple way of thinking about it

25 enlisted men = 1 officer
1000enlisted men = X officer

Cross multiply (25 by X officer and the 1 officer by the 1000)

25x = 1000

X= 40.

7 0

3 years ago

What does 64. 75 inch height mean?

Likurg_2 [28]

64.75 inch height means you are 5.3958333 feet tall

6 0

2 years ago

Read 2 more answers

MaryAnne has 90 quilt squares. She plans to use 32 of them to make a quilt. What percent of her quilt square stock is she using?

Gemiola [76]

Percentage = ( number used / total number) x 100

32/90 = 0.3555

0.3555 x 100 = 35.56%

Rounded to nearest tenth = 35.6%

4 0

2 years ago

Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another

stealth61 [152]

Let $F(x,y,z)=f(x,y)-z$ . The tangent plane to $f(x,y)$ at (1, 2, -6) has equation

$\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0$

We have

$\nabla F(x,y,z)=(-4x,-6y,-1)\implies\nabla F(1,2,-6)=(-4,-12,-1)$

Then the tangent plane has equation

$(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22$

Let $g(x,y)=4-x^2-y^2$ , and $G(x,y,z)=g(x,y)-z$ . The tangent plane to $S$ at a point $(a,b,c)$ is

$\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0$

We have

$\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)$

so that this plane has equation

$(-2a,-2b,-1)\cdot(x-a,y-b,z-c)=0\implies2ax+2by+z=2a^2+2b^2+c$

In order for this plane to be parallel to the previous plane, we need to have

$\begin{cases}2a=4\\2b=12\end{cases}\implies a=2,b=6\implies g(a,b)=c=-36$

so the point we're looking for is (2, 6, -36).

6 0

3 years ago

Find the measurements of <CAH and <EAG what is the value of x

kirza4 [7]

Answer:

x = 14

Step-by-step explanation:

4x + x + 90 = 160

5x + 90 = 160

- 90 -90

<u>5x</u> = <u>70</u>

5 5

x = 14

Hope this helps!

6 0

3 years ago