Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base = 
= 
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base = 
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead = 
= 
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
125 divides into both 625 and 1000. Divide each by 125 to get 5/8.
The equation that represent the graph is y = (1/2)eˣ , Option B is the correct answer.
<h3>What is an Exponential Function ?</h3>
An exponential function is what is denoted as y = eˣ
The graph has to be studied and the equation has to be determined.
To determine we will consider x = 0 for all the equation ,. which will give the y intercept , which is below 1 so Option C and D are stroked out.
Now we plot the graph for equation A and B
It can be easily understood from the graph that at x =0 , y = 0.5
Therefore , the equation that represent the graph is
y = (1/2)eˣ
Option B is the correct answer.
To know more about Exponential Function
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Answer:
False
Step-by-step explanation:
Answer:
The table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
Step-by-step explanation:
We need to fill the table using the rule:
To find y multiply x by 4 and then subtract 3.
Writing rule in mathematical form:
y=4x-3
Now for completing the table we need to put x=1,2 and 3 and find values of y
So, the table is:
x y
1 1
2 5
3 9
The graph B shows the relationship y=4x-3
