Yeah the answer is number 5
Answer:
The linear function is y = 44 + 24x
The rate of change of the linear function is 44.
Step-by-step explanation:
Hannah already had 44 photos in her camera so this is the initial value of the linear function.
She took 24 photos each day for 6 days. Which means she took:
24 x 6 = 144 photos in those 6 days.
We multiplied 24 with the number of days she took the photos so, considering 'x' as the number of days we can write '24x' to represent the number of photos she took. the linear function can be represented as:
y = 44 + 24x
To find out the rate of change, we need to differentiate this equation. So,
The rate of change of the linear function is 44.
Try this solution:
1. Given: α:4x-y+2z=-4 and β:x+y-4z=3.
if vector n₁⊥α and n₂⊥β, then required cosine is:
where n₁*n₂=4*1+(-1)*1+2*(-4) and |n₁|*|n₂|=√(4²+1²+2²)*√(1²+1²+4²).
2. Using the formula of cosine:
answer: ≈0.2572
To identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
In a research study, there are typically two main variables that direct the scientific enquiry. They are:
- Dependent Variable, and
- Independent Variable
The independent variable causes a change in the dependent variable, i.e. the dependent variable receives the <em>effect</em>, the independent variable is the <em>cause </em>of the change.
It is very easy to identify the dependent variable in any testable hypothesis once you are able to pick out which variable is causing a change in the other.
For example, let's say the topic of a research is: <em>The Impact of Sunlight on Germination Rate of Seedlings.</em>
Here, <em>Sunlight </em>is the independent variable affecting <em>Germination Rate</em>.
The dependent variable here would be: <u><em>Germination Rate.</em></u>
Therefore, to identify the dependent variable in the testable, look out for the variable that is affected by the other. The variable that changes as a result of another variable is the dependent variable.
Learn more here:
brainly.com/question/24657192
Answer:
Igloos, Cones (such as ice cream cone), triangles ( such as roofs seen from one ... The tiles need to tessellate to cover an area without leaving any gaps .
Step-by-step explanation:
Any form of tiling involves polygons. The tiles need to tessellate to cover an area without leaving any gaps. This is directly connected to the angle properties of polygons.
Architects include polygons with every plan of a house - rooms usually have 90° corners, but not always. Rooms on a plan are polygons.
The cost of building any structure depends on the lengths of the walls and the size of the angles - all properties of polygons.
If a single free-standing room is to be built, the greatest ratio between the area and the perimeter is in a circle.
The smallest ratio between the area and the perimeter is found in a triangle. The best ratio in tessellating polygons is in a hexagon.
As soon as the cost of doing something one way as compared to another, it becomes a real life issue.
We are surrounded by polygons all the time.
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