The <u><em>correct answer</em></u> is:
0.6 + 0.02 + 0.004
Explanation:
To write a number in expanded form, we use place value. In this number, 6 is in the tenths place; that makes its value 6(0.1) = 0.6.
2 is in the hundredths place; that makes its value 2(0.01) = 0.02.
4 is in the thousandths place; that makes its value 4(0.001) = 0.004.
Together, we get a sum of 0.6+0.02+0.004.
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.
The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
h = √((15 in)² - (10 in)²) = √115 in
The volume of the conical part of the figure is then
V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³
The volume of the hemispherical part of the figure is given by
V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³
Then the total volume of the figure is
V = (volume of conical part) + (volume of hemispherical part)
V = (100π√115)/3 in³ + 2000π/3 in³
V = (100π/3)(20 + √115) in³
V ≈ 3217.39 in³
Answer:
The 32nd term of Arithmetic sequence is -174
Step-by-step explanation:
Given: 
We are given two term of the Arithmetic sequence.
Formula:

For 

For 

Using two equation solve for a and d



We need to find 32nd term




Hence, The 32nd term of Arithmetic sequence is -174
Answer:
<em>D</em>
Step-by-step explanation:
Question:On Saturdays. Eve earns $14. per hour for yard work and charges an extra amount for supplies/gas money to get there. Look at the table. Choose the linear function f Eve can use to determine her pay, where x is in hours and f(x) is her pay in dollars.
Answer: <em>The answer would be D because she gets payed $14 and hour so you would plug the hours she work into the letter x</em><em>.</em>
Answer:
-4
Step-by-step explanation:
The function is linear; therefore, the slope of the line joining any two points is the same.
We take any two points from the table and compute the slope or rise/ run between them— let is take points (-4, -2) and (-2, -10).
The slope
of the line joining the points is

The slope of the function is -4.