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4 years ago

When looking at the net of a cylinder, what is the relationship between the height of the rectangle and the cylinder?

Mathematics

1 answer:

Nastasia [14]4 years ago

6 0

Volume of a cylinder = πr²h

where,

r is the radius of the cylinder

h is the height of the cylinder

Area of the rectangle = length X breadth

We can consider that a rectangle if rotated will form a cylinder.

In that case, the breath of the rectangle will become the diameter of the cylinder and the length will become the height of the cylinder.

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Given an exponential function for compounding interest, A(x) = P(.95)x, what is the rate of change?

statuscvo [17]

Answer:

Option 3

The rate of change is -5%

Step-by-step explanation:

Given : An exponential function for compounding interest, $A(x) = P(.95)^x$

To find : What is the rate of change?

Solution :

The general form of an exponential function is:

$f(x) = a(1+r)^x$

Where, a is the initial amount,

(1+r) is the rate of change,

r is the growth or decay factor

We have given, $A(x) = P(.95)^x$

Rate of change is

$1+r=0.95$

$r=0.95-1$

$r=-0.05$

Convert to percent,

$r=-0.05\times 100=-5\%$

Therefore, Option 3 is correct.

4 0

3 years ago

Read 2 more answers

For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the pr

Monica [59]

Answer: Probability of randomly selecting a member who likes to cook or likes to sew = 58%

Step-by-step explanation:

Since we have given that

Probability of a randomly selecting a member who likes to cook=P(C) = 42%

Probability of a randomly selecting a member who likes to sew =P(S)= 23%

Probability of a randomly selecting a member who likes to both cook and sew

$P(C\cap S)=7\%$

As we know the "Probability rules " :

$P(C\cup S)=P(C)+P(S)-P(S\cap C)\\\\P(C\cup S)=42+23-7\\\\P(C\cup S)=58$

So, Probability of randomly selecting a member who likes to cook or likes to sew = 58%

5 0

3 years ago

Write a recursive formula for

algol13

9514 1404 393

Answer:

a[1] = 3
a[n] = a[n-1] -7

Step-by-step explanation:

A recursive formula consists of two parts:

initialization (rule for the first term(s))
rule for the next term

When we look at the differences between terms in the sequence 3, -4, -11, ..., we find that they are constant at -7. That is each term can be found from the previous one by subtracting 7. This is our recursive rule. The first term is obviously 3, so the recursive formula is ...

a[1] = 3

a[n] = a[n-1] -7

5 0

3 years ago

Distance between (-10,9) and (-5,2)

jonny [76]

Answer:

8.60 units (3 s.f.)

Step-by-step explanation:

The distance between 2 points is given by the formula:

$\sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} }$

Thus using the above formula,

Distance between (-10, 9) and (-5, 2)

$= \sqrt{ {(9 - 2)}^{2} + {( - 10 + 5)}^{2} } \\ = \sqrt{ {7}^{2} + ( - 5)^{2} } \\ = \sqrt{74} \\ = 8.60 \: units \: (3 \: s.f.)$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28%20%20%7B81%7D%5E%7B%20%5Cfrac%7B1%7D%7B4%7D%20%7D%20%29%5E%7B4%7D%20" id="TexFormula1" tit

Sveta_85 [38]

If you're asking how to simplify, then this is how you do it.

when a power meets another power but in brackets, then you have to multiply the powers. ¼ × 4 would be 1. i simplified 81 to 3⁴.

7 0

3 years ago