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Mama L [17]
2 years ago
11

The volume of a cube with side length x is V(x)=x^3. The volume of a cylinder with radius x and height 0.5x is shown in the grap

h. When x=1, which volume is greater?
​

Mathematics
1 answer:
abruzzese [7]2 years ago
5 0

Answer:

  the cylinder volume is greater

Step-by-step explanation:

The volume of a cube with x=1 is ...

  V(1) = 1^3 = 1

The graph shows y ≈ 1.5 for x=1. Since 1.5 > 1, the volume of the cylinder is greater.

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Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metre
ANEK [815]

Answer:

1 : 9.75 * 10⁷

Step-by-step explanation:

To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.

3 0
2 years ago
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our curre
Lorico [155]
1. multiply 250 by 10% (250 * .1= 25)
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261. 
4. 261 is your final answer
6 0
2 years ago
A jet flying at 123 m/s banks to make a horizontal circular turn. The radius of the turn is 3810 m, and the mass of the jet is 2
aev [14]

Answer:

The magnitude of the necessary lifting force is 7.95N

Step-by-step explanation:

Force = mv^2/r

mass (m) = 2.00105kg, velocity (v) = 123m/s, radius (r) = 3810m

Force = 2.00105×123^2/3810 = 30273.89/3810 = 7.95N

7 0
2 years ago
The volumes of two similar figures are 343 mm3 and 512 mm3. If the surface area of the larger figure is 192 mm2, what is the sur
Kobotan [32]
In geometry, similar figures are those whose ratios of the  corresponding sides are equal and the corresponding  angles are congruent. In relation to the volume, we determine first the cube roots of the given and find the ratio as shown below.
 
                         s1 / s2 = cube root of (512/343)
                                    = 8/7
The square of this ratio is the ratio of the areas of the figure. If we let x be the area of the smaller figure then, 
                      (8/7)^2 = 192 mm²/ x
The value of x from the equation is 147 mm². 

The area therefore of the smaller figure is 147 mm².
3 0
2 years ago
Read 2 more answers
Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to
shusha [124]

Answer:

Option C is the correct option.

Step-by-step explanation:

Considering the triangle ABC, the slope of the line CA is given by \frac{AB}{BC} = \frac{6 - 3}{-3 - (- 1)}

Again, considering the triangle CDE, the slope of the line EC is given by

\frac{CD}{DE} = \frac{3 - (- 3)}{- 1 - 3 }

Since CA and EC represents the same straight line so, we can write

\frac{6 - 3}{-3 - (- 1)} = \frac{3 - (- 3)}{- 1 - 3 }

Therefore, option C is the correct option. (Answer)

8 0
2 years ago
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