Answer:
A)
Decay
B)
Initial value is 5.
C)
The decay factor is 0.75.
D)
75%
Step-by-step explanation:
An exponential function is given by:
[tex]f(x)=a(r)^x[/tex]
Where a is the initial value and r is the rate.
We have the function:
[tex]y=5(1/4)^x[/tex]
So, a = 5 and r = 1/4.
A)
Remember the guidelines:
It is exponential growth if r > 1. And it is exponential decay if r < 1. (And r must be positive.)Our rate is 1/4 or 0.25.
It is less than 1, so our function is exponential decay.
B)
The initial value is the value in front of our rate.
So, our initial value in this case is 5.
C)
The decay factor will be 1 - r, where r is our rate.
Since our rate is 0.25, our decay factor is 1 - 0.25 = 0.75.
So, we are decaying by a factor of 0.75.
D)
To convert a decimal to a percent, we move the decimal dot two places to the rght and add a percent sign.
So, 0.75 will be 75.0 % or smply 75%.
It is a 75% decay.
help meeeeeeeeeeeeeeeeeeeeee
Answer:
B
Step-by-step explanation:
I need help can you?
Answer:
Step-by-step explanation:
Statements Reasons
1). m∠QPS = m∠TPV 1). Given
2). m∠QPS = m∠1 + m∠3 2). Angle addition postulate
m∠TPV = m∠2 + m∠4
3). m∠1 + m∠3 = m∠2 + m∠4 3). Given
4). m∠1 = m∠2 4). Given
5). m∠1 + m∠3 = m∠2 + m∠4 5). Subtraction property
m∠3 = m∠4
How long is `50\%` of a 24 hour day
Answer:
12 hours
Step-by-step explanation:
50/100 x 24 = 12
Answer:
it would be 12 hours.
Step-by-step explanation:
24/2=12
Carlos has 38 apples. He puts 8 apples into each bag. If he fills as many bags as possible, How many apples are left
A .6
B. 5
C 2
D 4
Answer:
the answer is A 6 apples
Step-by-step explanation: you want to divide 38 by 8 if you do that you get 4 bags with 6 apples left
Answer: Carlos can fill 4 bags and have 6 left over
Step-by-step explanation:
The first step is to divide 38 by 8.
38 ÷ 8 = 4 with 6 left over.
That means that Carlos will be able to fill 4 bags and have 6 left over.
The answer is A, 6. Hope this helps, and good luck!
5% of a number is 31 1% of the same number is 6.2
Work out 13% of the number.
Answer:
80.6
Step-by-step explanation:
1%-> 6.2
13%-> 6.2x13=80.6
You roll a 6-sided die.
What is P(not odd)?
Write your answer as a percentage.
Answer:
[tex]\boxed{\textsf{ Hence the percentage probability of getting a not odd is \textbf{ 50\% }.}}[/tex]
Step-by-step explanation:
Given that we roll a 6 sided dice . We need to find the probability that the outcome is not a odd number . So , when we roll a dice then the possible outcomes are ,
[tex]\sf\implies Sample\ space = \{ 1,2,3,4,5,6 \}[/tex]
And the total number of possible outcomes is 6 . That is ,
[tex]\sf\implies n(Sample \ space )= 6 [/tex]
Now the total number of non odd numbers that is even numbers is 3 ( 2 , 4 & 6) .
[tex]\sf\implies n(Outcomes_{(even)})= 3 [/tex]
Now , lets use the formula of Probability that is ,
Probability :-
[tex]\qquad\boxed{\boxed{\sf P = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes }}}[/tex]
Now put on the respective values :-
[tex]\sf\implies P( getting\ a \ not \ odd ) = \dfrac{Total \ number \ of \ favourable\ outcomes }{Total \ number \ of \ possible\ outcomes } \\\\\sf\implies P( getting\ a \ not \ odd ) =\dfrac{3}{6} \\\\\sf\implies \boxed{\sf P( getting\ a \ not \ odd ) = \dfrac{1}{2} }[/tex]
[tex]\rule{200}2[/tex]
Expressing the probability as percentage :-
[tex]\sf\implies \% \ of \ getting \ non \ odd = Probability \times 100 \\\\\sf\implies \% \ of \ getting \ non \ odd = \dfrac{1}{2}\times 100 \\\\\sf\implies \boxed{\pink{\frak{ \% \ of \ getting \ non \ odd = 50\%}}}[/tex]
The picture says it all ty! <3
Answer:
only Katie is right
Step-by-step explanation:
first, find the nth rule using the equation n = a + (n - 1)d
a = first term (here, it's 22)
n = the position of a term
d = the constant difference between each term (here, it's -5 since each term reduces by 5)
put these in and then simplify:
n = a + (n - 1)d
n = 22 + (n - 1)(-5)
n = 22 - 5n + 5
n = -5n + 27
this can be rewritten as n = 27 - 5n, which means therefore that only Katie is right. hope this helps!
Answer: Only Katie
Reason: Only Katie is correct!
Factor, 15x - X-2????????
Answer:
13x
Step-by-step explanation:
hope this helps
PLS HELP!!! I WILL GIVE THE BRAINLIEST!!!
Answer:
area of trapezoid==1/2 h(d1+d2)=7.5/2(10+(5+2×3+5))=97.5in²
area of semi circle=1/2 πr²=1/2 ×3.14×3²=14.13in²
area of shaded region=97.5-14.13=83.37in²
Answer:
outside shape = (10x7.5)+(2)(0.5)(7.5x3) = 97.5 in^2
circular cutout = (3.14)(3^2)(0.5) = 14.1 in^2
97.5-14.1 = 83.4 in^2
Find the value of x in the acute scalene triangle that has the angles 114° and 37°
The equation y=9.50 +0.4 represents the line of best fit for the distance in feet) that Marcella traveled over time
(in seconds) based on several races she ran.
Based on this equation what is Marcella's average speed in feet per seconds?
Enter the answer as the correct value without units.
marking brainlist
Answer:
9.9 feet per second
Step-by-step explanation:
y=9.5+0.4
y=9.9
Marcella's average speed in feet per seconds is,
⇒ y = 9.54 feet
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The equation which represents the line of best fit for the distance in feet) that Marcella traveled over time (in seconds) based on several races she ran is,
⇒ y = 9.50x + 0.4
Hence, Marcella's average speed in feet per seconds is,
y = 9.50x + 0.4
Put x = 1;
y = 9.50 × 1 + 0.4
y = 9.50 + 0.4
y = 9.54 feet
Thus, Marcella's average speed in feet per seconds is,
⇒ y = 9.54 feet
Learn more about the function visit:
https://brainly.com/question/11624077
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Please Help. Im stuck on this question and i cant figure it out
Answer:
Where is it?
Step-by-step explanation:
Where is the question exactly?
Jinny is selling bracelets for $4.00. So far, she has earned $296.00. She needs to earn more than $472.00 in order to meet her goal. How many more bracelets, x, does she need to sell in order to reach her goal? Select the inequality that includes the fewest number of bracelets that she can sell and still reach her goal.
PLZ help me and anyone who can help me will get 15 points
Answer:
the answer is 43
Step-by-step explanation:
4 = 3s joe biden
Which values of m make 1/4 m > 3 true ?
Answer:
m > 12
Step-by-step explanation:
I) Find what m is in 1/4m = 3:
1/4m = 3
Divide by 1/4:
m = 12
II) Make an inequality:
m > 12
whats 100 + 100 ?????
Answer:
200
Step-by-step explanation:
Have a great day! :)
Answer:
200
Step-by-step explanation:
When you add 100 and 100 together, the sum will be 200.
14 and 15, please. I don’t really understand.
Answer:
14) 9.2 15) 12.9
Step-by-step explanation:
14) cos(52) = x/15
x = 15cos(52)
x = 9.2349
x = 9.2
15) cos(22) = 12/x
x = 12/cos(22)
x = 12.9424
x = 12.9
PLZ HELP ITS DUE TODAY
9514 1404 393
Answer:
x = {-0.44, 1.69}
Step-by-step explanation:
Multiply by the denominator to eliminate the fraction.
3 = x(4x -5)
4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form
Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-5)\pm\sqrt{(-5)^2-4(4)(-3)}}{2(4)}\\\\x=\dfrac{5\pm\sqrt{73}}{8}\approx \{-0.443, 1.693\}[/tex]
Solutions rounded to hundredths are ...
x = -0.44
x = 1.69
_____
A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form
f(x) = 0
3/(4x -5) -x = 0
The data in the table represent a linear relationship.
Step-by-step explanation:
y=mx +b
b= 5
12.5= 10m+5
10m = 7.5
m= 0.75
y=0.75x +5
..........
at x= 20 , y= 20
at y= 27.5 , x= 30
at x= 40 , y= 35
in a class full of men and women, 4/7 of the class are women. What is the ratio of men to women in it's smplest form?
Answer:
3/4 is the ratio of men to women in the simplest form.
Given z = 1 – i, which letter represents z3?
A
B
C
D
Answer:
A
Step-by-step explanation:
I just took the quiz
Iota is an imaginary unit number that is denoted by i and the value of iota is [tex]i=\sqrt{-1}[/tex]
Letter A represent [tex]z^{3}[/tex]
Given that, z = 1 - i
Now finding [tex]z^{3}[/tex] ,
[tex]z^{3}=(1-i)(1-i)(1-i)\\\\=(1+i^{2-2i} )(1-i)\\\\=1+i^{2}-3i-i^{3}+2i^{2}\\\\=1-1-3i+i-2\\\\=-2-2i[/tex]
In given diagram, it is observed that Point A is [tex]-2-2i[/tex].
Learn more:
https://brainly.com/question/12375854
How would you write this as an expression?
A number is no more than 8
Answer choices
≤
≥
<
>
=
What is the interest rate of the account? What is the balance after 10 years?
Interest rate:
%
Balance after 10 years: $
Answer:
can you please provide more context?
Step-by-step explanation:
Answer
43
Step-by-step explanation:
so first 6544-x233
then 45 x 1 thats your answer
what is the solution to 3x2+7x−20=0
Answer:
Your answer is -4
Hope that this is helpful. Tap the crown button, Like & Follow me
Answer:
x = 5/3
x = -4
-Evaluate the exponent
-Multiply the numbers
-Add the numbers
-Evaluate the square root
-Multiply the numbers
Simplify 4.5+ 3.1(2x + y) + 1.2y.
Answer:
see image
Step-by-step explanation:
Answer:
6.2x+4.3y+4.5
Step-by-step explanation:
30-60-90 right triangles
Answer:
i think it is either 31 or 15.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
pythagoras theorem.
a squared plus b squared equals hypotenuse squared
a=7
b=24
49+576=625
square root is 25
that's your answer. c=25.
What is the equation of the line that passes through point (-1,4) and is perpendicular to the following equation? y= -1/2x - 4
Answer:
y=2x-4
Step-by-step explanation:
To find an equation perpendicular to another one, you must find the negative inverse of the slope.
In this case, -1/2 has an inverse of -2, but because we're finding the negative inverse, the two negatives cancel out and we get 2, the slope of our perpendicular equation, which crosses the initial equation, making a right angle.
Pleaseee I need help quickkk
To go to the park, It costs $4 plus $3 per child. Which equation shows this situation
where x represents the number of children
Answer:
y = 3x + 4
Step-by-step explanation:
Because $4 is your base pay, it is your y-intercept. And because it is $3 per child, then that is your slope. "x" represents how many objects/people/etc. there could be.
I'm sorry please help.
Solve the following system of equations.
x-3y=17
x+7y=-23
x=
y=
Answer:
-4y=40
y=-10
x-3(-10)=17
x-30=17
x=17+30
x=47
Step-by-step explanation:
Answer:
x= 5
y= -4
Step-by-step explanation:
x= 17+3y so you substitute what you got for x in so
17 +3y +7y = -23
10y=-40
y=-4 now you put -4 in for y in the first equation
x = 17 + (3 times -4)
x = 17 - 12
x=5