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Maru [420]
2 years ago
6

Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last

Mathematics
1 answer:
lana [24]2 years ago
5 0

Answer:

0.0625 Days

Step-by-step explanation:

For 1 day Erin uses 1 3/8

1 day consumption is 11/8

11/2 bags of oranges would take

11/2 divided by 11/8

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Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0).
aliya0001 [1]

Answer:

The closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

Step-by-step explanation:

Let B(x, y, z) denote a point on the cone.

Therefore, the distance between the points (6, 2, 0) and B(x, y, z) is;

d = √[(x - 6)² + (y - 2)² + (z - 0)²]

d = √[(x - 6)² + (y - 2)² + z²]

Since we are given that z² = x² + y², we now have;

d = √[(x - 6)² + (y - 2)² + x² + y²]

Taking the square of both sides gives;

d² = [(x - 6)² + (y - 2)² + x² + y²]

x² is an increasing function. Thus, minimizing d is also the same as to minimize f (x, y) = d²

Thus, f' = 0. So;

df/dx = 2(x - 6) + 2x = 0

2x - 12 + 2x = 0

4x = 12

x = 12/4

x = 3

Similarly,

df/dy = 2(y - 2) + 2y = 0

2y - 4 + 2y = 0

4y - 4 = 0

4y = 4

y = 4/4

y = 1

Now,from earlier;

z² = x² + y²

Thus;

z = ±√(3² + 1²)

z = ±√10

Thus, the closest points on the cone are;

(6, 2, -√10) and (6, 2, √10)

7 0
3 years ago
Cone A has a radius of 2 inches and a height of 3 inches. In cone B, the height is the same, but the radius is doubled. Calculat
Sophie [7]
Formula: pi* r^2* h/3
Cone A= 12.57
Cone B= 50.27
6 0
3 years ago
Which equations support the fact that rational numbers are closed under addition?
PtichkaEL [24]

i think the answer is the second choice √9+√9=2√9

<em>Hoped this helped!</em>

3 0
2 years ago
4p + 1 &gt; −7 or 6p + 3 &lt; 33?
aleksandr82 [10.1K]
P>-2 or p < 5 is your answer 
4 0
3 years ago
Please help me and others that will stumble on this problem.
lutik1710 [3]

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

5 0
2 years ago
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