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Alika [10]
3 years ago
7

Twice the difference of a number and 9 is 5 Use the variable c for the unknown number.

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

C = 11.5

Step-by-step explanation:

1. (c - 9) 2 = 5

2. 2c - 18 = 5

3. 2c = 23

4. c = 11.5

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3 years ago
Which equation represents a line that has a slope of 1/3 and passes through point -2, one
tensa zangetsu [6.8K]

Answer: y= 1/3 x + 5/3

Step-by-step explanation:

1= 1/3(-2) + b where b is the y intercept

  1=   -2/3 + B

+2/3   +2/3

B = 5/3

so we know the slope and the y- intercept

y= 1/3x + 5/3   check:   1=1/3(-2) +5/3

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8 0
3 years ago
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Please answer correctly! I will mark you as Brainliest!
andrew-mc [135]

Answer:

V = 336 ft3

Step-by-step explanation:

1/2*7*16*6

336

5 0
3 years ago
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The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c
Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 \rm{in^3}

Step-by-step explanation:

The linearization or linear approximation of a function f(x) is given by:

f(x_0+dx) \approx f(x_0) + df(x)|_{x_0} where df is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh

Taking R_0=1.5 inches and h=3 inches and evaluating the partial derivatives we obtain:

V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh

substituting the values and taking dx=0.1 and dh=0.3 inches we have:

V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3}  + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3}  + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}

Therefore the change in volume is estimated to be 17.20 \rm{in^3}

4 0
3 years ago
Each blade on a windmill is in the shape of a triangle with a base of 7 ft and height of 4 ft if there are four blades on the wi
Leto [7]
Area of one blade is
A=(1/2)b*h=(1/2)7*4=28/2=14 
for four blades
14*4=56
8 0
3 years ago
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