Answer:
(d) 944 mm³
Step-by-step explanation:
The volume of a prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the distance between bases.
__
<h3>base area</h3>
Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...
A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²
The area of the rectangle is the product of its length and width.
A = LW = (9 mm)(6 mm) = 54 mm²
So, the total base area is ...
31.809 mm² +54 mm² = 85.809 mm²
<h3>prism volume</h3>
The prism volume is this area multiplied by the length of the figure:
V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³
The volume of the figure is about 944 mm³.
Answer:
1st problem: b) 
2nd problem: c) 
Step-by-step explanation:
1st problem:
The formula/equation you want to use is:
where
t=number of years
A=amount he will owe in t years
P=principal (initial amount)
r=rate
n=number of times the interest is compounded per year t.
We are given:
P=2500
r=12%=.12
n=12 (since there are 12 months in a year and the interest is being compounded per month)
Time to clean up the inside of the ( ).
----------------------------------------------------
2nd Problem:
Compounded continuously problems use base as e.
P is still the principal
r is still the rate
t is still the number of years
A is still the amount.
You are given:
P=2500
r=12%=.12
Let's plug that information in:
.
The number of days for both Companies to have the same total amount is
6.4 days
<h3>Word Problem leading to Algebraic expression</h3>
Given Data
- Let the total payment be y
- Let the number of days be x
Company A
y = 57x+ 32 -----------------1
Company B
y = 62x + 0-----------------2
Equating 1 and 2 we have
57x+ 32 = 62x+ 0
Solving for x we have
62x-57x = 32
5x = 32
Divide both sides by 5
x = 32/5
x = 6.4 days
Learn more about word problem here:
brainly.com/question/13818690
Answer:
<em>The prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>
Step-by-step explanation:
<em>A</em><em>. the prediction interval is narrower than the confidence interval.</em>
the prediction interval is always wider than the confidence interval.
<em>B</em><em>. the prediction interval provides an interval estimation for the expected value of y while the confidence interval does it for a particular value of y.</em>
False
<em>C</em><em>. the prediction interval provides an interval estimation for a particular value of y while the confidence interval does it for the expected value of y. </em>
<em>True</em>
<em>D.</em><em> the confidence interval is wider than the prediction interval.</em>
the prediction interval is wider
We know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units
volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³
the answer is
<span>442368</span>
