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lianna [129]
3 years ago
12

A right circular cone of height h and base radius r has total surface area S consisting of its base area plus its side area, lea

ding to the formula: S= π r2 + π r r2+h2 Suppose you start out with a cone of height 8 cm and base radius 6 cm, and you want to change the dimensions in such a way that the total surface area remains the same. Suppose you increase the height by 50/100. In this problem, use tangent line approximation to estimate the new value of r so that the new cone has the same total surface area.
Mathematics
1 answer:
Yuki888 [10]3 years ago
5 0

Answer:

gfgj

Step-by-step explanation:

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Between the years of 1947 and 1956, earthenware jars containing what are known as the Dead Sea Scrolls were found in caves along
lidiya [134]

Answer:

They are right, the time calculated using the exponential decay equation is 1948.6 years.

Step-by-step explanation:

The time can be calculated using the exponential decay equation:

N_{(t)} = N_{0}e^{-\lambda t}     (1)

<u>Where</u>:

N(t): is the quantity of C-14 at time t

N₀: is the initial quantity of C-14

λ: is the decay constant  

The decay constant is:

\lambda = \frac{ln(2)}{t_{1/2}}   (2)    

By entering equation (2) into (1) and solving for t, we have:

t = \frac{t_{1/2}*ln(N_{t}/N_{0})}{ln(2)} = \frac{5730*ln(0.79)}{ln(2)} = 1948.6 y

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.      

I hope it helps you!

8 0
3 years ago
Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
quester [9]

Answer: 18

Step-by-step explanation:

The formula to find the minimum sample size is given by :_

n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation.

z*= critical z-value.

E= Margin of error.

Given : \sigma= 13

E= ± 8

We know that critical value corresponding to 99% confidence level = z*=2.576  [Using z-table]

Then, the required sample size would be :

n=(\dfrac{(2.576)\cdot (13)}{8})^2

\Rightarrow\ n=(4.186)^2

\Rightarrow\ n=17.522596\approx18 [Round to next integer.]

Hence, the required minimum sample size = 18

4 0
3 years ago
A 15 foot building casts a 9 foot shadow. How tall is the building if it casts a 30 foot shadow at the same time?
ladessa [460]
15 : 9 = x : 30
x = 30 * 15 : 9
x = 50
7 0
3 years ago
What is the correct answer for evaluate the expression 12 to 2nd power​
Leya [2.2K]

Answer:

144

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
BRO PLEASE HELP ASAP
KiRa [710]

Answer:

bro i think its 10

Step-by-step explanation:

3 0
3 years ago
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