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Volgvan
3 years ago
6

Water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Answer: 4.5

Step-by-step explanation:

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X is less than -7 on a graph
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6 0
3 years ago
Jacklynn wondered how much of the moon covers if half of the moon is shaded. She learned in Science Class that the moon has radi
Lesechka [4]

Answer:

6.3 × 10⁶ square miles

Step-by-step explanation:

We are given,

The radius of the moon is approximately 1000 miles.

We know that the moon resembles a sphere and also,

Area of sphere = 4\pi r^{2}, where r is the radius.

Now, the area of the moon = 4\pi 1000^{2} = 1.26 × 10⁷ square miles

Since, only the half of the area is clear to view.

So, the area left to view = \frac{1.26\times 10^7}{2} = 6.3 × 10⁶ square miles.

Hence, the area of the moon in view is 6.3 × 10⁶ square miles.

8 0
4 years ago
Full working out please ^^ for the first question , ty
sp2606 [1]

Answer:

E

Step-by-step explanation:

Given

y = 2x² - kx + 3

with a = 2, b = - k and c = 3

Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is

b² - 4ac = 0, that is

(- k)² - (4 × 2 × 3) = 0

k² - 24 = 0 ( add 24 to both sides )

k² = 24 ( take the square root of both sides )

k = ± \sqrt{24} = ± 2\sqrt{6}

k = 2\sqrt{6} or k = - 2\sqrt{6} → E

7 0
3 years ago
Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the p
Romashka-Z-Leto [24]
1. First, you must find the constant of variation (k). The problem indicates that t<span>he base of each triangle varies inversely with the height. So, this can be represented as below:
</span>
 B=k/H

 B is the base of the triangle (B=10).
 H is the height of the triangle (H=6).
 k is the constant of variation.

 2. When you clear "k", you obtain:

 B=k/H
 k=BxH
 k=10x6
 k=60

 3. Now, you have:

 B=60/H

 4. You can give any value to "H" and you will obtain the base of the second triangle.

 5. If H=12, then:

 B=60/H
 B=60/12
 B=5

 6. Therefore, <span>the possible base and height of a second triangle is:
</span>
 B=5
 H=12
5 0
3 years ago
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