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Sergeeva-Olga [200]
3 years ago
10

The table shows the number of days required to perform a given number of chores. The number of days varies directly with the num

ber of chores. What is the constant of variation?

Mathematics
1 answer:
poizon [28]3 years ago
4 0

Answer:

THE CONSTANT OF VARIATION IS 1/2 or 0.5

Step-by-step explanation:

Here, we want to calculate the variation constant.

From the question, we are told that number of days varies directly as the number of chores

Mathematically, that would be;

y = kx

where k is the constant of proportionality

To get the value of k, we simply divide the value of y at a point by the value of x at that point

Mathematically;

1 = 2k

which is same as

5 = 10k

Thus, the value of k would be 5/10 = 1/2 or 0.5

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noname [10]

Answer:

<u>(0, - 6)</u>

Step-by-step explanation:

<u>Midpoint Formula</u>

  • M = (x₁ + x₂ / 2, y₁ + y₂ / 2)

<u>Solving</u>

  • M = (-3 + 3 / 2, -7 - 5 / 2)
  • M = (0, -12/2)
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6 0
2 years ago
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Help please I'm need help with number 4, 5 , and 6
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4= 121 5= 49 6= 169 hope this helps
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3 years ago
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Use the estimate in the text based on the Prime Number Theorem to give approximate values of the following. (a) The number of pr
ozzi

Answer:

a)148.47

b)148.34

Step-by-step explanation:

Let π(x) be the prime-counting function that gives the number of primes less than or equal to x, for any real number x. For example, π(7) = 4 because there are four prime numbers (2, 3, 5, 7) less than or equal to 7.

We can see that π(7)=π(10) because there are four prime numbers (2,3,5,7) less than or equal to 10.

A good aproximation for π(x) is x / log x, where log x is the natural logarithm of x.

a)The number of primes between 1 and 1030.

1030/log(1030)=148.47

b) The number of primes between 1 and 1029.

1029/log(1029)=148.34

 Extra: π(1029)=π(1030) because 1030 is not a prime.

5 0
3 years ago
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on this DVD in dollars and cents?
Aleonysh [2.5K]

Answer:

3.50 is the right answer

Step-by-step explanation:

4 0
3 years ago
A box of oat cereal cost $3.90 for 15 oz.A box of rice cereal cost $3.30 for 11 oz which box of cereal costs less per ounce use
mariarad [96]

Answer:

A box of oat cereal cost lees than a box of rice cereal cost per ounce.

Step-by-step explanation:

Given:

15 oz of oat cereal cost = $3.90

11 oz of rice cereal cost = $3.30

We need to find the which box of cereal cost less per ounce.

Solution.

First we will find cost of 1 oz of oat cereal.

Now we know that;

15 oz of oat cereal cost = $3.90

1 oz of oat cereal cost = cost of 1 oz of oat cereal.

By Using Unitary method we get;

cost of 1 oz of oat cereal = \frac{3.90}{15} = \$0.26

Now we will find cost of 1 oz of rice cereal.

Now we know that;

11 oz of rice cereal cost = $3.30

1 oz of rice cereal cost = cost of 1 oz of rice cereal.

By Using Unitary method we get;

cost of 1 oz of rice cereal = \frac{3.30}{11} = \$0.3

Now from above we can see that cost of 1 oz of oat cereal is $0.26 and cost of 1 oz of rice cereal is $0.3.

Hence we say that, A box of oat cereal cost lees than a box of rice cereal cost per ounce.

8 0
3 years ago
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