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adoni [48]
3 years ago
13

Simplify.

iddle" class="latex-formula">
Mathematics
1 answer:
zvonat [6]3 years ago
3 0
The answer is 6.6
hope this helps :)
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R varies directly as s. Find r when s=10 and k=4
nadezda [96]

Step-by-step explanation:

Since, r varies directly as s

\therefore \: r \:  \:  \alpha \:  \: s \\  \therefore \: r  = k s..(1) \:  \\ (k =  \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \:  in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r  =40}}

5 0
3 years ago
Read 2 more answers
What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?
anygoal [31]
Answer:

k = 2/-3

Step-by-step explanation:

y = kx

Point: (-3, 2)

2 = k(-3)

k = 2/-3

k = -0.6
5 0
3 years ago
?? ihow to solve this problem
postnew [5]

In the given formula :

r = rate = 4.5% = 0.045

t = time = 7 years

P = principal = #3,700


e is an arbitrary number used in mathematics, which is approximately 2.7183


Replace the letters with the given information:

A = 3700e^0.045(7)

A = $5,069.96


The answer is C

4 0
3 years ago
A sphere with radius 16 m is cut by a plane that is 9 m below its center. what is the best approximation of the area of the circ
alexdok [17]
The complete question in the attached figure

we know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²

<span>let's assume that the center of the sphere is at the origin
</span>so
(h,k,l)-------> (0,0,0)
for r=16 m
(x-h)²+(y-k)²+(z-l)²=r²-------->  (x)²+(y)²+(z)²=16²

for z=9 m
(x)²+(y)²+(9)²=16²--------> (x)²+(y)²=256-81--------> (x)²+(y)²=175
the radius of the circle is r=√175 m
so the area of the circle A=pi*r²-----> A=pi*175-----> A=549.5 m²

the answer is 
the area of the circle is 549.5 m²

6 0
4 years ago
Find the equation of a line with slope 1/2 through the point (10,12)
mihalych1998 [28]

Answer:

x-2y+14=0

Step-by-step explanation:

Slope \:( m) =\frac{1}{2}

(x_1 \:y_1) =(10, \:12)

Equation of line in point slope form is given as:

y-y_1 =m(x-x_1)

Plugging the values of m and (x_1 \:y_1), we find:

y-12=\frac{1}{2} (x-10)

2y-24=x-10

0=x-10-2y+24

x-2y+14=0

This is the required equation of line.

5 0
3 years ago
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