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3 years ago

Above is a picture of an exponential graph. Is this an example of growth or decay?

Mathematics

2 answers:

11111nata11111 [884]3 years ago

7 0

Answer:

Decay.

Step-by-step explanation:

The reason for, is that growth is pointed up and decay is pointed down.

Naddik [55]3 years ago

5 0

Answer:

Exponential Decay

Step-by-step explanation:

Exponential decay graphs are essentially as follows: as you move along the x-axis to positive infinity, the graph will decrease in y-values.

On the other hand, exponential growth graphs are as follows: as you move along the x-axis to positive infinity, the graph will <em>increase </em>in y-values.

On this graph, we can see that as x moves to infinity, y is very obviously decreasing, so this is exponential decay.

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Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i

Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = $\pi$ $r^{2}$ h

volume of ice cream in the cylindrical tub = $\frac{22}{7}$ x $5^{2}$ x 9

= $\frac{22}{7}$ x 25 x 9

= 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

r = $\frac{2.5}{2}$

= $\frac{5}{4}$ inches

volume of the scoop = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{4} )^{3}$

= $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{64}$

= 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

= 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

= 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

7 0

3 years ago

What is the slope of the line that passes through (-1,3) and (4,6)

WINSTONCH [101]

0.6 would be the slope

5 0

3 years ago

The Harper family drove 510 miles on their vacation. Mr. Harper and Mrs. Harper took turns driving. Mr. Harper drove 4 times as

Korvikt [17]

Mrs. Harper drove 102 miles and Mr. Harper drove 408. Am I right?

6 0

3 years ago

Read 2 more answers

Let y in the form of a + ib, where a and b are real numbers, be the cubic roots of a complex number z 20, where z =2 4+i3. Find

GalinKa [24]

The possible values of a + b are 0.89, 3.01 and -3.9

<h3>How to determine the value of a + b?</h3>

The given parameters are:

y = a + ib

z = 24 + i3

Where:

y = ∛z

Take the cube of both sides

y³ = z

Substitute the values for y and z

(a + ib)³ = 24 + i3

Expand

a³ + 3a²(ib) + 3a(ib)² + (ib)³ = 24 + i3

Further, expand

a³ + i3a²b + i²3ab² + i³b³ = 24 + i3

In complex numbers;

i² = -1 and i³= -i

So, we have:

a³ + i3a²b + (-1)3ab² -ib³ = 24 + i3

Further expand

a³ + i3a²b - 3ab² - ib³ = 24 + i3

By comparing both sides of the equation, we have:

a³ - 3ab² = 24

i3a²b - ib³ = i3

Divide through by i

3a²b - b³ = 3

So, we have:

a³ - 3ab² = 24

3a²b - b³ = 3

Using a graphing tool, we have:

(a,b) = (-1.55, 2.44), (2.89,0.12) and (-1.34,-2.56)

Add these values

a + b = 0.89, 3.01 and -3.9

Hence, the possible values of a + b are 0.89, 3.01 and -3.9