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mel-nik [20]
3 years ago
12

1. Which function represents exponential decay?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}

0 < \frac{1}{7} < 1, thus, the second option represents exponential decay.

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PLEEEEEEASE HELP ME THIS IS VERY LATE WORK
kicyunya [14]
Part A: David wrote 0.003 + 0.0001 instead of <span>0.03 + 0.001 

Part B: T</span>he 1 should be in the thousandths place

Hope this helps, make sure to count each place from right after the decimal which is the tenths place, then hundredths, etc.
5 0
3 years ago
What is the volume of a small cone if:
Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be\alpha.

then sin(\alpha ) = 3/5       (For bigger triangle)

Same cone angle is for smaller one because they are similar.

cos(\alpha ) = 4/5

Now for smaller cone radius be R

3/5 =R/Slant height

Slant height =5/3R

Lateral surface area =\frac{1}{2}R^{2}\beta  [R = slant height]  

Given lateral surface area =60\pi =\frac{1}{2}(\frac{5R}{3} )^{2} \beta   ...................................1

2\pi R=\frac{5R}{3}\beta        ................................................2

\beta=\frac{6\pi }{5}

Put angle beta in equation 1 and find the value of R

R =6 cm

Height =\frac{4R}{3}

Thus volume =\frac{1}{3}\pi6^{2}*8

                     =301.44

4 0
3 years ago
About 1,400,000 people live in a city. The city has a land area of 320 square miles. What is the city's population density (peop
Evgen [1.6K]

Answer:

the population ia 4,375 people per square mile

Step-by-step explanation:

7 0
3 years ago
I NEED HELP PLZ AHHHH
rjkz [21]
With what? I might be able to help
3 0
3 years ago
Simplify the expression (4a^2 +2ab) - (2a^2 -ab + b^2) what is the coefficient of the term b^2
iragen [17]

In the simplified expression, the coefficient of the term b² is -1.

<h3>Order to solve Math Operations</h3>

When you solve any Math Operations, it is necessary to be attentive to the order of the operations.

First, you should solve the operation insides of Parentheses. After that priority is given to Exponents. Thereon,  you can solve multiplication or division operations from left to right. Finally, addition or subtraction  from left to right

See the order below

  •       Parentheses
  •       Exponents
  •       Multiplication or Division from left to right
  •       Addition or Subtraction from left to right

The question gives the expression (4a² +2ab) - (2a² -ab + b²). Therefore, for solving the expression you should follow the order of the math operations.

  • Remove the Parentheses

       4a² +2ab -2a² +ab - b²

  • Add similar terms

       2a²+3ab-b²

Like, there are no more similar terms. Therefore, you can represent the expression (4a² +2ab) - (2a² -ab + b²) by  the expression  2a²+3ab-b².

Learn more about the algebraic expression here:

brainly.com/question/2164351

#SPJ1

7 0
1 year ago
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