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2 years ago

3y + x = 12 What is the value of x when y = 3?

Mathematics

1 answer:

Andre45 [30]2 years ago

6 0

Step-by-step explanation:

3y + x = 12

When y = 3, we have 3(3) + x = 12.

=> 9 + x = 12, x = 3.

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The perimeter of a square is 32cm. what is the lenght of each side

pshichka [43]

Answer:

Step-by-step explanation:

For a square, P = 4s, where s is the length of one side.

Thus, 32 cm = 4s, and s = 8 cm

8 0

3 years ago

If only half as much milk is used each day, after how many days will more milk need to be purchased?

nordsb [41]

If you are using half as much milk every day, you'll never run out because you'll just keep using half as much. You still won't run out with the coffee shop problem or the refrigerator problem.

6 0

3 years ago

Read 2 more answers

If the figure is rotated 270° counterclockwise about the origin, what is the length of segment N′P′?

kap26 [50]

Answer:

Option (2)

Step-by-step explanation:

Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.

NP = N'P'

Coordinates of N → (5, 9)

Coordinates of P → (7, 9)

Formula of distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By this formula length of NP = $\sqrt{(7-5)^2+(9-9)^2}$

= 2 units

Therefore, Option (2) will be the correct option.

7 0

2 years ago

PLEASE HELP!!! WILL MARK BRAINIEST IF CORRECT!

kvv77 [185]

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

7 0

3 years ago

The projected population of a certain ethnic group(in millions) can be approximated by p(t)equals=39.07 left parenthesis 1.021

user100 [1]

Answer:

a) p(10) ≈ 48.10
b) about 1.00 million/year

Step-by-step explanation:

a) Use t=10 in the given formula and do the arithmetic.

39.07×1.021^10 ≈ 48.0951 ≈ 48.10 . . . millions

b) The derivative of p(t) is ...

p'(t) = p(t)·ln(1.021) ≈ 0.8120·1.021^t

p'(10) ≈ 0.99954 ≈ 1.00 . . . . millions per year

5 0

3 years ago