Answer:
All you have to do is scale up the coordinates of the plane by the factor. Multiply the values of each coodinate by the scale factor.
Step-by-step explanation:
Answer:
$647.99
Step-by-step explanation:
Divide the tax rate (9.750%) by 100 to get a decimal rate of 0.09750.
Add 1 to the decimal rate to get 1.09750.
Divide that tax-included price ($647.99) by 1.09750 price to get a pretax price of $590.42.
Subtract the pretax price from $647.99 to get the sales tax amount of $57.57.
Answer:
a) 
b) y = 289.815
Step-by-step explanation:
We are given the following information:
The estimate regression equation for a model involving two independent variables and 10 observations follows:
where 
are the two independent variable and y is the dependent variable.
a) The regression line is of the form:
Comparing, we get,
These are the coefficients of respectively, and helps us to know the the significance of the independent variable in predicting the independent variable.
b) We have to estimate y when
Given that <span>cos a = 3/5 and it is in the first quadrant :
then:
a=arccos 3/5
but
cot </span>θ=1/tan θ
thus to evaluate our vale we shall obtain the value for height since
adjacent=3
hypotenuse=5
thus
using Pythagorean theorem:
c²=a²+b²
hence
5²=3²+b²
b²=25-9=16
b=4
thus
tan θ=opposite/adjacent
tan a=4/3
thus
cot a=1/(4/3)=3/4
Answer:
32, 64, 128
Step-by-step explanation:
Let us start by looking at the geometric progression. A geometric progression multiplies each number by a <u>constant</u>, which we can name <u>r</u>, to get the next term. Let us find this constant:
16÷8=2
8÷4=2
Both expressions confirm that our r, the constant, is indeed 2.
To find the next few terms, we simply multiply by r:
1. 16r=16×2=32
2. 32r=32×2= 64
3. 64r= 64×2 = 128
<em>I hope this helps! Please let me know if you have any further questions :)</em>
