We have been given that Khalil has 13.5 M of lanyard. He needs to cut the lanyards into pieces that are 90 cm long. We are asked to find the number of full-length pieces of a lanyard will Khalil be able to cut.
First of all, we will convert 13.5 meter into cm.
1 meter = 100 cm
13.5 meters = 13.5*100 = 1350 cm.
Now we will divide 1350 by 90 to find number of pieces of lanyard that can be cut from 1350 cm.


Therefore, Khalil will be able to cut 15 full-length pieces of a lanyard.
Given:
Area of a circle, A=50.265 sq. units.
Radius of circle, r = 4 units.
To find:
The value of π to the nearest thousandth.
Solution:
Formula for area of a circle is



Now, using
expression, we can find the value of π.




Approximate the value to the nearest thousandth (three digits after decimal).

Therefore, the approximated value of π is 3.142.
Linear regression line y=2.1x+130 predicts sales based on the money spent on advertising.
Linear regression represents the relationship between two variables. the value of y depends on the value of x.
x represents the dollars spent in advertising and y represents the company sales in dollars.
We need to find out sales y when $150 spends on advertising.
Plug in 150 for x and find out y
y = 2.1 x + 130
y = 2.1 (150) + 130
y= 445
The company expects $445 in sales
Answer:
The answer to your question is the first option
Step-by-step explanation:
64
Process
1.- Find the prime factors of 64
64 2
32 2
16 2
8 2
4 2
2 2
1
64 = 2⁶
2.- Express 64 as a fractional exponent
64
3.- Simplify
64
64
64![^{1/4} = 2\sqrt[4]{2^{2}}](https://tex.z-dn.net/?f=%5E%7B1%2F4%7D%20%3D%202%5Csqrt%5B4%5D%7B2%5E%7B2%7D%7D)
4.- Result
64