Indicate whether the function represents an exponential growth or decay.

Indicate Whether The Function Represents An Exponential Growth Or Decay.

Answers

Answer 1

Answer:

1) decay

2) growth

3) growth

Step-by-step explanation:

A generic exponential function can be written as:

f(x) = A*(r)^x

Where:

A is the initial amount of something.

r is the rate of growth.

x is the variable, usually, represents time.

if r > 1, we have an exponential growth.

if r < 1, we have an exponential decay.

1) f(x) = (3/4)^x

in this case we have:

A = 1

r = (3/4) = 0.75

Clearly, r < 1.

Then this is an exponential decay.

2) f(x) = (1/6)*4^x

In this case we have:

A = (1/6)

r = 4

Here we have r > 1.

Then this is an exponential growth.

3) f(x) = (1/4)*(5/2)^x

in this case we have:

A = 1/4

r = 5/2 = 2.5

here we have r > 1, then this is an exponential growth.


Related Questions

x minus 32? i need answer ASAP

Answers

Answer:

x-32

Step-by-step explanation:

Answer:

X-32 :)

Explanation:

Put together an expression.

Which number line represents the solution of 5X < 30

Answers

Answer:

Step-by-step explanation:

Answer:

BRO, where are the number lines, can't help you if you dont put the number lines

Here is a weather thermometer. Three of the numbers have been left off.
What numbers go in the boxes?

Answers

Answer:

Step-by-step explanation:

If n = 5, which of the following is not equivalent to 24?​

Answers

Answer:

there is no picture?

Step-by-step explanation:

which statement is true?​

Answers

Which statement is true will the the first one

What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.

What is the answer rounded to the nearest tenth?

Answers

Answer:

W = 882 N

Step-by-step explanation:

Given that,

The weight of a person, W = 90 kg

The value of acceleration due to gravity, g = 9.8 m/s²

We need to find the weight of the person on Earth. The formula for the weight of an object is given by :

W = mg

Substitute all the values,

W = 90 kg × 9.8 m/s²

W = 882 N

So, the weight of the person is equal to 882 N.

Where is 5/4 on a number line

Answers

Answer:

1/4 of a space after 1.

Hope that helps!

Step-by-step explanation:

1/4 or 0.25 spaces after 1

HELLLLPPPPPPPPPP ASAP

Answers

.....................7 x 5 = 35

Answer:

5km

35 divided by 7 is 5

What geometric
constructions can have a
perpendicular bisector?

Answers

Answer:

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (left figure). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

A shipment of tile cost $64,500.
Each tile costs 15 dollars.
How many pieces of tile are in the shipment?


A.430
B.1,290
C.4,300
D.8,600

Answers

Answer:

The answer is C. 4,300

Answer explanation :

Answer: C. 4,300

Steps:

64,500 / 15 = 4,300

Check:

15 * 4,300 = 64,500

64,500 = 64,500 ✅

I would appreciate the brainliest if this was helpful and correct! :)

what is the next number in sequence -2, 10 -50, 250

Answers

Answer:

2×5=10

10×5=50

50×5=250

250×5=1250

your next Number = -1250

hope It helps

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

5x^2+ 15x – 140 = 0
Solve for x

Answers

Answer:

x = 4, -7

Step-by-step explanation:

1) Factor out the common term 5.

[tex]5( {x}^{2} + 3x - 28) = 0[/tex]

2) Factor x² + 3x - 28.

[tex]5(x - 4)(x + 7) = 0[/tex]

3) Solve for x.

x = 4, -7

Therefor, the answer is x = 4, -7.

Answer:

x = 4, -7

Step-by-step explanation:

1. Solve the equation using the quadratic formula

The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]

in which A, B, and C are numbers (or coefficients), as follows:

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

2. Determine the quadratic equation’s coefficients A, B, and C

The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:

A = 5

B = 15

C = -140

3. Plug these coefficients into the quadratic formula

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

Calculate the expression inside the parentheses.

Simplify exponents and square roots.

[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]

Perform any multiplication or division, from left to right.

[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{10}[/tex]

to get the result:

[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]

4. Simplify square root

Simplify 3025 by finding its prime factors.

                    3025

                   /         \

                 /             \

             5                  605

              /                    \

            /                        \

          5                          "121"

           /                            \

         /                                \

        11                                11

The prime factorization of 3025 is 5² • 11²

Write the prime factors.

[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11

Group the prime factors into pairs and rewrite in exponent form.

√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]

Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.

[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11

5 • 11 = 55

5. Solve the equation for x

x = [tex]\frac{-15+55}{10}[/tex]

The ± means two answers are possible:

x = 4

or

x = - 7

Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?

Answers

Answer:

36:64

Step-by-step explanation:

its simple just divde 36

Express the given statement in the form of expression.

​5 subtracted from three times any number.

Answers

5-3(x)
Five minutes three is spare time, yet the “times any number” simply means to assign the unknown the variable of “x”.

ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)

Answers

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

Misha needs 1.75 yards of green fabric per costume. He will make 13 costumes.
Misha needs____
yards of green fabric in all.

For the blank spaces above the options are 7.4, 14.75, 21, 22.75.

(Btw it’s not 7.4 I already tried that and it was wrong)

Answers

Answer:

22.75 is the correct answer

Answer:

wrong question sorry!

Step-by-step explanation:

Please help on this question

Answers

The perimeter would be 48 feet

Help I don't understand this question at all

Answers

Answer:

(6)(5)(4) = 120

Step-by-step explanation:

For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have

6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Here is another way to picture it:

In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F

1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite

2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite

3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite

As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!

Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly

Answers

Answer:

From least to greatest it is:

3.441, 4 4/9, 89/20, 4.93

. A pilot is flying over a straight highway. He determines the angles of depression to two mileposts to be 32° and 56°, as shown in the figure. The pilot is flying at an altitude of 25,000 ft. Find the distance between point A and point B. Round your answer to the nearest thousandth. [32 56° A B​

Answers

Answer:

Step-by-step explanation:

tan(90-32)=25000/B and tan(90-56)=25000/A

B=25000/(tan(58)) and A=25000/(tan(34))

B-A=25000/(tan58-tan34)=27003ft

The distance between point A and point B is 23195 ft.

What is the Angle of Depression ?

For an object below the level, the angle created by the line of sight and the horizontal plane is called the Angle of Depression.

It is given that

A pilot is flying over a straight highway.

the angles of depression to two mileposts to be 32° and 56°, as shown in the figure

The pilot is flying at an altitude of 25,000 ft.

Tan [tex]\rm \theta[/tex] = Height / (Distance of the point and the plane horizontally )

Tan 32 = 25 /x

x = 25000 / tan 32

x = 40064 ft

tan 56 = 25/x

x = 25000/tan 56

x = 16869 ft

the distance between point A and point B is 23195 ft.

To know more about Angle of Depression

https://brainly.com/question/13514202

#SPJ2

Can anyone help with this question pleasee

Answers

Answer:

[tex] y = 1 [/tex]

Step-by-step explanation:

Given:

[tex] a^{3y - 5} = \frac{1}{a^2} [/tex]

Apply the negative exponent rule

[tex] a^{3y - 5} = a^{-2} [/tex]

The bases will cancel each other

[tex] 3y - 5 = -2 [/tex]

[tex] 3y - 5 + 5 = -2 + 5 [/tex]

[tex] 3y = 3 [/tex]

[tex] \frac{3y}{3} = \frac{3}{3} [/tex]

[tex] y = 1 [/tex]

Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
3 tons 600 ounces =
ounces

Answers

Answer:

3+78=81

Step-by-step explanation:

2+2

Find the length of the arc and area of the shaded region. Round the answer to two decimal places. (Use Pi = 3.14) SHOW WORK!

Answers

Answer:

i just want some friends

Step-by-step explanation:

Find the area of the regular polygon

Answers

Answer:

12

Step-by-step explanation:

There are 6 sides of the polygon, therefore since each corner is "2m", 2 x 6 = 12 making it the whole area.

*12 is basically the same as 360 since it's a polygon*

A box contains orange balls and green balls. the number of green balls is 10 more than 2 times the number of orange balls. if there are 64 balls all together, then how many green balls and how many orange balls are there in the box​

Answers

Answer:

52 green, 15 orange-Please mark brainliest hope this helped!

Step-by-step explanation:

g + o = 67   g = green, o = orange, x = total

g = 3o + 7

use substitution: (3o + 7) + o = 67

solve for o:

4o + 7 = 67

4o = 60

o = 60/4 = 15

solve for g:

g + 15 = 67

g = 52

A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long

Answers

Answer:

18 and 90

Step-by-step explanation:

If we express in units,

Long piece has 5 units

Short piece has 1 unit

total 6 units

108/6 = 18 inch

which is the length of 1 unit

short = 18 * 1

long = 18 *5

I got 30 will someone double check me please.

Answers

That’s the correct answer

Answer:

yeah its 30

hdkqksbdkwlqmvwksl

Been stuck on this for a while

Answers

Answer:

volume = 502.4 cm³

Step-by-step explanation:

volume = 4²π(10) = 160π = 502.4 cm³

Please select the best answer from the choices provided​

Answers

Answer:

its 60

Step-by-step explanation:

go0gle

there are 144 microscopes in boxes at a school. each box has 24 microscopes which equation could be used to find b, the number of boxes of microscopes at this school

A. 24+144= b
B. 144-b= 24
C. B divided by 24= 144
D. 24 x b= 144

Answers

D ...................
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