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3 years ago

Can somebody help me please? Thank u! :)

Mathematics

1 answer:

tatuchka [14]3 years ago

6 0

Answer:

1. last choice

2. first choice

Step-by-step explanation:

<h3>First Image</h3>

The reason why it is the last choice because when times keep going as distance also keeps increasing as well. But the last choice says that run at the end of track then turn around and run back. That means there must be a decreasing distance and a maximum value as well.

Therefore the only with max point/vertex is the absolute value which matches the last choice.

<h3>Second Image</h3>

First choice because the car straight forwards without any change. The car runs with a steady speed but the distance will keep changing without any change of distance.

So the answer is first choice.

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Answer:

Prime Factors: A factor which is a prime number and not a composite number is a prime factor. For example, 2, 3 and 5 are the prime factors of 30.

Factors: The numbers which are multiplied to get another number. For example, 3 and 5 are the factors of 15, i.e. 3 × 5 = 15

The list of prime factors from 1 to 100 are;

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97

Step-by-step explanation:

Prime factorisation is a method to find the prime factors of a given number, say a composite number. These factors are nothing but the prime numbers. A prime number is a number which has only two factors, i.e. 1 and the number itself.

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3 years ago

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3 years ago

What is the surface area of a rectangular prism with a length of 16 cm, a width of 8 cm, and a height of 4 cm? (show your work i

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A farmer has 240 acres to plant. He needs to decide how many acres of corn to plant and how many of oats. He can make $40 per ac

Gala2k [10]

Answer:

The acres of each the farmer must plant to obtain the maximum profit is:

160 acres of oat.
80 acres of corn.

Step-by-step explanation:

First, we're gonna take the data of the exercise:

Area: 240 acres.
Profit of the corn: $40/acre
Profit of the oat: $30/acre
Time spent by corn: 2 hour per acre.
Time spent by oat: 1 hour per acre.
Total working time available: 320 hours.

Now, we're gonna suppose that all the area could be planted with corn (the most profitable), in this form, we obtain the highest profit to take this how reference:

Total profit with corn = area * profit of the corn
Total profit with corn = 240 acres * $40/acre
Total profit with corn = $9600

How you can see, $9600 is the highest profit that the farmer can obtain, but, as each acre of corn needs 2 hours, the farmer would need 480 hours of labor to plant all the area with corn, with the 320 hours availables, the farmer just could plant 160 acres of corn, therefore, the real profit would be:

Total profit with corn = 160 * $40
Total profit with corn = $6400

Now, we're gonna make the same exercise but with the oats, to obtain the total profit with this:

Total profit with oat = area * profit of the oat
Total profit with oat = 240 acres * $30/acre
Total profit with oat = $7200

Taking into account the hours of labor availables, the oat gives $800 more profit than the corn, but in that case we'd lose 80 hours of labor that could be used to make a better profit, but, as the oat per hour of labor is more profitable, we're gonna use 2/3 of the area to plant oat and 1/3 to plant corn:

Area used for oat = 240 acres * 2/3
Area used for oat = 160 acres
Area used for corn = 240 acres * 1/3
Area used for corn = 80 acres

How you can see, with 160 acres of oat, the farmer would need 160 hours of labor and, with 80 acres of corn, the farmer would need 160 hours of labor too, by this, we know all the available time will be used, now, we're gonna calculate the profit in each case:

Real profit with oat = used area * profit of the oat
Real profit with oat = 160 acres * $30/acre
Real profit with oat = $4800
Real profit with corn = 80 acres * $40/acre
Real profit with corn = $3200

The total profit to the farmer with this plan is:

Total profit = Corn profit + Oat profit
Total profit = $3200 + $4800
Total profit = $8000

The profit with the given plan is $8000, that is better than the profit only with oat or corn separately and, this is the maximum profit the farmer can make.

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3 years ago