Answer:
$31.80
Step-by-step explanation:
The ball will cost 100% of its price plus 6% of its price for a total of 106%.
To use percentages as a factor and multiply, they must be divide by 100, making the multiplication factor version of 106% 1.06.
Multiply the cost of the ball by your multiplication factor:
30 x 1.06 = 31.8
Money is written to two decimal places, making your answer $31.80
8x-2=-9+7x
Add 2 to both sides
8x=-7+7x
Subtract 7x from both sides
x=-7
If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).
Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:
y-(-9)=(-1/2)(x-2)
y+9=(-1/2)x+1
y=(-1/2)x-8
Hope this helps!
This question is incomplete, the missing diagram is uploaded along this answer below;
Answer:
horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
from the image,
We find the volume of the solid obtained by rotating the card around a horizontal line;
Volume of the cylinder V₁ = πr²h
given that; radii = 3 in and height = 5 in
we substitute
V₁ = π × (3)² × 5
V₁ = π × 9 × 5
V₁ = 141.37 in³
Next we find the volume of the solid obtained by rotating the card around a vertical line;
Volume of the cylinder V₂ = πr²h
given that; radii = 5 in and height = 3 in
we substitute
V₂ = π × (5)² × 3
V₂ = π × 25 × 3
V₂ = 235.62 in³
Hence horizontal V₁ ( 141.37 in³ ) is less than vertical V₂ ( 235.62 in³ )
Answer:
See below
Step-by-step explanation:
Given
This inequality covers the interval greater than - 1
Its graph covers the space to the right from the point -1
The vertical line - 1 is a dotted line as - 1 is nor included