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Drupady [299]
3 years ago
7

Mark wants to calculate the circumference of a circle with a radius of 7 cm.

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0
The answer is about 44
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Step-by-step solution for: (√2+√10)^2
azamat
Note:  √a * √a  = a
           √a * √b  = √ab

(√2 + √10)²  =  (√2 + √10)(√2 + √10)
                    =  √2(√2 + √10) + √10(√2 + √10)
                    =   √2*√2 + √2*√10 + √10*√2 + √10*√10
                    =       2      + √20  + √20 + 10
                    =      (2 + 10) + (√20 + √20)
                    =        12 +  2√20

√20 = √(4 *5) = √4 * √5 = 2√5

                     =        12 +  2√20  = 12 + 2(2√5)
                     = 12 + 4√5
5 0
3 years ago
A student is assessing the correlation between the number of workers in a factory and the number of units produced daily. The ta
lukranit [14]

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

  • Yes there is a strong positive correlation

Part B:

  • The function is <em>y</em> = 5•x + 2

Part C:

  • The slope indicates the number of units produced by each worker daily

  • The y-intercept indicates that two units can be produced without workers.

<h3>How can the existence of a correlation and the best fit function for the data be found?</h3>

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the <em>x </em>and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

  • There is a strong positive correlation between the number of workers, <em>x</em>, and the number of units produced, <em>y</em>.

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the <em>x </em>and y-values is a linear function, which can be found as follows;

Slope of the equation, <em>m </em>= ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

  • y = 5•x + 2

Part C:

The slope of the function is the coefficient of the variable <em>x </em>in the equation, <em>y </em>= m•x + c

  • The slope of the plot, 5, indicates that each worker produces 5 units daily

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

  • The y-intercept of the linear equation, y = 5•x + 2, which is 2, indicates that the initial number of units of products at the factory before workers arrive is 2.

Learn more about finding relationship between variables here:

brainly.com/question/4219149

#SPJ1

7 0
1 year ago
Mei has 8 jars of soup. Each jar contains 300 milliliters of soup. What is the smallest pot mei can use to heat all the soup? a.
NeX [460]

Answer:

Option B. 3 liters

Step-by-step explanation:

First, we shall determine the total volume of soup that Mei have. This is illustrated below:

Mei have 8 jars of soup containing 300mL each. Therefore, she has a total of = 8 x 300mL = 2400mL.

Next, we shall convert 2400mL to litres (L). This can be obtain as follow:

1000mL = 1L

Therefore, 2400mL = 2400/1000 = 2.4L

Mei have 2.4L of soup.

Since the total volume of the soup that Mei have is 2.4L, she will be needing a minimum of 3L pot to heat up all the soup.

3 0
3 years ago
Nine take away three and one-half
DochEvi [55]
5 and 1 half this is the answer my son thought of.
3 0
3 years ago
Read 2 more answers
6. Janet makes scarves to sell at the craft fair. Each scarf requires 2.5 yards of yarn. A. At the fabric store, yarn is sold by
Mariulka [41]

Answer:

610 feet

Step-by-step explanation:

From the question :

1 scarf = 2.5 yards of yarn

84 scarves = x yards

Cross Multiply

1 scarf × x yards = 84 × 2.5 yards

x yards = 210 yards

Hence, 84 scarves require 210 yards

Converting yards to feet

1 yard = 3 feet

210 yards = x feet

x feet × 1 yard = 210 yards × 3 feet

x feet = 210 yards × 3 feet/1 yards

x feet = 610 feet

Hence, if Janet wants to make 84 scarves, she need to buy 610 feet of yarn

6 0
3 years ago
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