Evaluate the statement “W must be at

A number sentence is shown below:

d1i1m1o1n [39]

Number sentence is simply a sentence, that uses numbers and arithmetic signs.

The context that can be created from the sentence is: How many bits are there, in $32\frac 14$ bytes
The verbal meaning of $32\frac 14 \div \frac 18 = 258$ is: When $32\frac 14$ is divided by $\frac 18$ , the result is $258$

Given

$32\frac 14 \div \frac 18 = 258$

(a) Context or story

A context is as follows:

There are 8 bits in a byte; How many bits are there, in $32\frac 14$ bytes

(b) As a multiplication

$32\frac 14 \div \frac 18 = 258$

Change the division to multiplication as follows:

$32\frac 14 \times \frac 81 = 258$

(c) Verbal explanation how the numbers are related

When $32\frac 14$ is divided by $\frac 18$ , the result is $258$

Read more about number sentence at:

brainly.com/question/17322770

4 0

3 years ago

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9 - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² - (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0

3 years ago

Consider the graph of the equation y = 5. Which statements are true? Check all that apply.

levacccp [35]

Answer:

The graph of y=5 is a horizontal line. The point (-4, 5) lies on the lines.

Step-by-step explanation:

This is horizontal because 5 on the y axis is always going to stay the same. For any x value, the y value is 5. Therefore, (-4, 5) is part of that line.

6 0

3 years ago

WILL GIVE BRAINLIEST TO CORRECT ANSWER(S)

elena55 [62]

Answer:

A: The correlation coefficient is a statistical measure of the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement.

B: he correlation coefficient is a statistical calculation that is used to examine the relationship between two sets of data. The value of the correlation coefficient tells us about the strength and the nature of the relationship. Correlation coefficient values can range between +1.00 to -1.00.

Step-by-step explanation:

Hopefully this helped!!!

7 0

3 years ago

What is the equation of the line, in slope-intercept form, that passes through (3, -1) and (-1,5)?

romanna [79]

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{5 - (-1)}{-1 - 3} = \frac{5 + 1}{-4} = \frac{6}{-4} = \frac{3}{-2} = -1\frac{1}{2}$
y - y₁ = m(x - x₁)
y - (-1) = -1¹/₂(x - 3)
y + 1 = -1¹/₂(x) + 1¹/₂(3)
y + 1 = -1¹/₂x + 4¹/₂
      - 1 - 1
   y = -1¹/₂x + 3¹/₂

4x + y - 2 = 0
      + 2 + 2
       4x + y = 2
4x - 4x + y = -4x + 2
   y = -4x + 2
   y - y₁ = m(x - x₁)
      y - (-3) = -4(x - 4)
       y + 3 = -4(x) + 4(4)
   y + 3 = -4x + 16
       - 3 - 3
   y = -4x + 13

2x - 3y - 5 = 0
       + 5 + 5
2x - 2x - 3y = -2x + 5
   -3y = -2x + 5
      -3    -3
      y = ²/₃x - 1²/₃
   y - (-3) = -1¹/₂(x - 4)
      y + 3 = -1¹/₂(x) + 1¹/₂(4)
      y + 3 = -1¹/₂x + 6
      - 3     - 3
      y = -1¹/₂x + 3

8 0

3 years ago

Read 2 more answers

Evaluate the statement “W must be at –3.”