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Margaret [11]
3 years ago
6

Use the graph of y=e^x to evaluate the expression e^-1.5

Mathematics
2 answers:
AnnyKZ [126]3 years ago
7 0

Answer:

0.25

Step-by-step explanation:

Locate the x value -1.5 along the x-axis. It has a matching output or y value on the curve. Draw a vertical line at x = -1.5. Where the line and curve intersect it the output value. Here it estimates as 0.25.

kramer3 years ago
5 0

Answer:

0.223 is the answer

Step-by-step explanation:

Here first we draw the graph of y =y =e^x

and in order to find the value of e^{-1.5}

we draw a line x =-1.5

and the point where this line x =-1.5 intersects with given

graph is the required value

which is y =0.223 at  x =-1.5

Below is the graph given

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LAN tosses a bone up In the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
Veseljchak [2.6K]

Answer:

The rate of change is 12ft/s

Step-by-step explanation:

Given

h(t) = -16t^2 + 20t

Required

Rate of change from when she jumps till 1/2s

The time she jumps is represented as: t = 0

So, calculate h(0)

h(t) = -16t^2 + 20t

h(0) = -16 * 0^2 + 20 * 0 = 0

At t = 1/2

h(t) = -16t^2 + 20t

h(1/2) = -16 * 1/2^2 + 20 * 1/2 = 6

Rate of change is calculated as:

Rate = \frac{f(b) - f(a)}{b - a}

In this case:

Rate = \frac{h(b) - h(a)}{b - a}

Where

(a,b) = (0,1/2)

So, we have:

Rate = \frac{h(b) - h(a)}{b - a}

Rate = \frac{h(1/2) - h(0)}{1/2 - 0}

Rate = \frac{6 - 0}{1/2 - 0}

Rate = \frac{6}{1/2}

Rate =12

<em>The rate of change is 12ft/s</em>

3 0
3 years ago
A, B, and C are collinear, and B is between A and C. The ratio of AB to AC is 4:5. If A is at (-3,7) and B is at (1,-5), what ar
Kitty [74]

Answer:

Step-by-step explanation:

AB:AC=4:5

AB:BC=4:5-4 OR 4:1

So B divides AC in the ratio 4:1

7 0
3 years ago
What three-dimensional shape is a basketball
Andrej [43]

Answer:

A sphere

Step-by-step explanation:

A sphere is a round three dimensional object with no sharp corners or vertexes.  Since a basketball fits this criteria, it is a sphere.

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4 years ago
Your team is in change of the CPM games
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Answer:

Ano po yung sasagutan dan?

di ko po kasi alam thank you

8 0
3 years ago
The left and right page numbers of an open book are two consecutive integers whose sum is 347. Find these page numbers.
azamat

Let the first page = x

The second page would be x + 1

Add them together to equal 347

X + x + 1 = 347

Combine like terms:

2x + 1 = 347

Subtract 1 from both sides

2x = 346

Divide both sides by 2:

X = 173

The smaller page number is 173

The larger page number is 174

7 0
3 years ago
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