1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
WITCHER [35]
3 years ago
6

Does anyone know the answer to this? Needed asap

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

t=r/d; t=0.2

Step-by-step explanation:

If d=r/t, then multiple both sides by t, to get td=r, then divide both sides by d, to get t=r/d. So t=8/40 t=0.2

You might be interested in
I dont understand how to do this precalc question
Alexeev081 [22]

Answer:

  • x-intercept:  (-0.1, 0)
  • Horizontal Asymptote: y = -3
  • Exponential <u>growth</u>

(First answer option)

Step-by-step explanation:

<u>General form of an exponential function</u>

y=ab^x+c

where:

  • a is the initial value (y-intercept).
  • b is the base (growth/decay factor) in decimal form:
    If b > 1 then it is an increasing function.
    If 0 < b < 1 then it is a decreasing function.
  • y=c is the horizontal asymptote.
  • x is the independent variable.
  • y is the dependent variable.

Given <u>exponential function</u>:

y=4(10)^x-3

<h3><u>x-intercept</u></h3>

The x-intercept is the point at which the curve crosses the x-axis, so when y = 0.  To find the x-intercept, substitute y = 0 into the given equation and solve for x:

\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}

Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.

<h3><u>Asymptote</u></h3>

An <u>asymptote</u> is a line that the curve gets infinitely close to, but never touches.

The <u>parent function</u> of an <u>exponential function</u> is:

f(x)=b^x

As<em> </em>x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.

Therefore, there is a horizontal asymptote at y = 0.

This means that a function in the form  f(x) = ab^x+c always has a horizontal asymptote at y = c.  

Therefore, the horizontal asymptote of the given function is y = -3.

<h3><u>Exponential Growth and Decay</u></h3>

A graph representing exponential growth will have a curve that shows an <u>increase</u> in y as x increases.

A graph representing exponential decay will have a curve that shows a <u>decrease</u> in y as x increases.

The part of an exponential function that shows the growth/decay factor is the base (b).  

  • If b > 1 then it is an increasing function.
  • If 0 < b < 1 then it is a decreasing function.

The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.

Learn more about exponential functions here:

brainly.com/question/27466089

brainly.com/question/27955470

6 0
1 year ago
I need to know the whole process of this equation
Nat2105 [25]
X=-8/z-2y...
z=2y-8/x...
y=xz/2+4
8 0
3 years ago
Some one please help me fast!!
Pie

Answer:

A) 10^23

Step-by-step explanation:

if bases are the same and you're multiplying then:

keep the base and add the exponents

8 0
2 years ago
PLEASE HELP!!<br><br><br><br><br> Ill take what ever i can get!
Marina86 [1]

the evidence does not support the argument because it addresses the bookmobile than the library itself

7 0
3 years ago
Read 2 more answers
Susan wants to buy a paddle boat for $840. She'll pay 20% down and pay the rest in six monthly installments. What will be the am
koban [17]
136 but there will be remainder
5 0
3 years ago
Other questions:
  • Which of the following is most likely the next step in the series?
    10·2 answers
  • HELP ASAP..GEOMETRY
    6·2 answers
  • Which of the following best describes perpendicular lines?
    11·2 answers
  • If f(x) = 3x + 2, what is f (5)​
    9·1 answer
  • Vladimir buys 1.20 pounds of Skittles, 7.2 pounds of M&amp;Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and t
    8·1 answer
  • Find the value of x in the triangle shown below.
    6·2 answers
  • If joe had 3 coins and lost 1 coin. How many coins does joe have now ?
    6·2 answers
  • Express the product of x+1 and x+8 in standard quadratic form.
    14·2 answers
  • Hello. Ik im going to get a warning for this and it will get reported but, I DO have a question. Do u think my math teacher will
    8·1 answer
  • Help please thanks .
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!