A machine makes a box in 1 3/10 secs. How many boxes can the machine make in a hour? Please show work

The options you provided are unclear to me, so I will respond in general terms: to determine if a point (ordered pair) lies on a line, you need to substitute the x-value from that pair into the line's equation and check if the resulting y-value matches the y-value of the ordered pair. For example, if your line is y = 4/3x + 1/3, we can check if (0, 0) and (2, 3) fit this line. We find that y = 4/3·0 + 1/3 gives us 1/3, which does not equal 0, indicating (0, 0) is not on the line. For (2, 3), substituting yields y = 4/3·2 + 1/3 = 3, meaning (2, 3) is on the line.

Answer: Ana should produce more fudge, and Leo should produce more toffee.

Step-by-step explanation:

Comparative advantage defined: A person or country has a comparative advantage producing a good if their opportunity cost for it is lower than someone else's.

In this case, Ana and Leo will both benefit if they focus on the product for which they have the lower opportunity cost.

(a) Ana’s production possibilities:

If she spends all her time making fudge: 3 pounds; or toffee: 2 pounds.

Opportunity cost of 1 pound fudge = 2/3 = 0.66 pounds toffee

Opportunity cost of 1 pound toffee = 3/2 = 1.5 pounds fudge

(b) Leo’s production opportunities:

All time making fudge: 4 pounds; or toffee: 5 pounds.

Opportunity cost of 1 pound fudge = 5/4 = 1.25 pounds toffee

Opportunity cost of 1 pound toffee = 4/5 = 0.8 pounds fudge

Since Ana’s opportunity cost for fudge is lower than Leo’s, she should specialize in fudge production.

Conversely, Leo has a lower opportunity cost for toffee, so he should focus on producing toffee.

Answer:

The value equals 1

Step-by-step explanation:

Consider the expression

Recall that

For two complementary angles A and B (where A+B=90°),

the identity is

cos(A) = sin(B)

Here, 26° and 64° are complementary angles, so

Substituting values,

From this, we find

By substitution,

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

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⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)

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220: goodnight, mark me brainliest Explanation: Let M symbolize the count of people who drank milk, while T denotes those who consumed tea. Let x indicate the number who had both milk and tea. Consequently, the count of individuals who drank only milk is represented by n(M ∩ T') = 620 - x, and those who drank only tea is n(M' ∩ T) = 350 - x. Since 800 individuals took part, we have: 620 - x + (350 - x) + x + 50 = 800, simplifying to 1020 - x = 800. Therefore, x = 220. Thus, 220 individuals consumed both beverages.