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Aliun [14]
3 years ago
5

PLEASE HELPPP Which is the graph of f(x) = 4 (1/2)^x ?

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

I also posted this answer on your previous question

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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
In the above figure (not drawn to scale), Find ∠AEC.
n200080 [17]

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

m\angle AEC=\frac{110^o+40^o}{2}

m\angle AEC=\frac{150^o}{2}

m\angle AEC=75^o

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.

7 0
3 years ago
Read 2 more answers
A developer was buying land. He bought 4 acres at $1,863 per acre. He then spilt the land he purchased into 9 lots. How much sho
Tpy6a [65]

Answer:

$1862 ÷9=$207(each lot)

$207 ×4=$828

5 0
3 years ago
Statements :
3241004551 [841]

Answer:

"e^x is irrational for every nonzero integer x"

Step-by-step explanation:

The original statement is

"e^x is rational for some nonzero integer x."

The negation is technically:

"It is NOT true that e^x is rational for some nonzero integer x."

So it's expressing that it's false that e^x can be rational for some nonzero integer x.

This just means that e^x is always irrational when x is a nonzero integer.

Which can be worded as

"e^x is irrational for every nonzero integer x"

4 0
3 years ago
Write 2/5 and 1/3 as equivalent fractions using a common denominator
Len [333]
I believe the answer is 11/15 .
5 0
3 years ago
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