Given:
The exponential equations in the options.
To find:
The equation which represents exponential decay.
Solution:
The general exponential equation is
[tex]y=ab^x[/tex]
where, a is initial value and b is growth rate.
If b<1, then it is an equation of exponential decay.
If b>1, then it is an equation of exponential growth.
In option A, b=31>1, i.e., exponential growth.
In option B, b=3.1>1, i.e., exponential growth.
In option C, b=0.13<1, i.e., exponential decay.
In option D, b=1.03>1, i.e., exponential growth.
Only [tex]y=10(0.13)^x[/tex] represents exponential decay.
Therefore, the correct option is C.
help me please. 15 POINTS BRAINLEST ANSWER EVER (y+4)–(y–1)=6y
Answer:
5/6
Step-by-step explanation:
y+4-y+1=6y
5=6y
y=5/6
Solution for (y+4)-(y-1)=6y equation:
Simplifying
(y + 4) + -1(y + -1) = 6y
Reorder the terms:
(4 + y) + -1(y + -1) = 6y
Remove parenthesis around (4 + y)
4 + y + -1(y + -1) = 6y
Reorder the terms:
4 + y + -1(-1 + y) = 6y
4 + y + (-1 * -1 + y * -1) = 6y
4 + y + (1 + -1y) = 6y
Reorder the terms:
4 + 1 + y + -1y = 6y
Combine like terms: 4 + 1 = 5
5 + y + -1y = 6y
Combine like terms: y + -1y = 0
5 + 0 = 6y
5 = 6y
Solving5 = 6y
Solving for variable 'y'.Move all terms containing y to the left, all other terms to the right.
Add '-6y' to each side of the equation.
5 + -6y = 6y + -6y
Combine like terms: 6y + -6y = 0
5 + -6y = 0
Add '-5' to each side of the equation.
5 + -5 + -6y = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -6y = 0 + -5
-6y = 0 + -5
Combine like terms: 0 + -5 = -5
-6y = -5
Divide each side by '-6'.
y = 0.8333333333
Simplifying
y = 0.8333333333
How many cents is equal to $ ¼?
Answer:
25 cents
Step-by-step explanation:
Answer:
25 cents
Step-by-step explanation:
25 cents times 4 is $1
think of quarters
How many 1/6s are in 2/3?
Answer:
four
Step-by-step explanation:
there are 4 1/6s in 2/3. 1/6 times four is 4/6. divide numerator and denominator by two to simplify, and you get 2/3. I hope this is correct :)
The number 1/6 s in the fraction 2/3 are 4.
The given fractions are 1/6 and 2/3.
Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.
Number of 1/6s are in 2/3
= 2/3 ÷ 1/6
= 2/3 × 6/1
= 4
Verification:
1/6 + 1/6 + 1/6 + 1/6
= 4/6
= 2/3
Therefore, the number 1/6 s in the fraction 2/3 are 4.
Learn more about the division of fractions here:
https://brainly.com/question/17205173.
#SPJ6
I really need helpp
Answer:
C
Step-by-step explanation:
Answer: B. Sandwich Town's Dipping Sauce
Step-by-step explanation: Sandwich town has 1/2 more spoonful than Burger Barn so Sandwich Town has a stronger mustard flavor.
Hope this helps! : )
i’m stuck on this question please help me
Answer:
im pretty sure its the 2nd or 3rd one
AN = 16CM; AC = 18CM & CN = (4X -6) CM. Find the value of X
Answer:
x = 6
Step-by-step explanation:
Since <A is congruent to <N, they are both an isosceles base angles. ∆CAN is an isosceles ∆.
Therefore, one of the properties of an isosceles ∆ is that two sides are equal, aside the base of the isosceles. This implies that: CN = AC
AC = 18cm
CN = (4x - 6)cm, therefore, we can generate an equation for solve for x as follows,
4x - 6 = 18 (two sides of an isosceles ∆ are congruent)
Add 6 to each side of the equation.
4x - 6 + 6 = 18 + 6
4x = 24
Divide both sides by 4
4x = 24/4
x = 6
A student has some $1 and $5 bills in his wallet. He has a total of 14 bills that are worth 50$. How many of each type of bill does he have?
Answer:
3.5$
Step-by-step explanation:
Nine 5's and five 1's. Nine five-dollar bills hit $45 dollars, and the remaining $5 can only be paid in 1's to reach 14 bills.
find 6/7 divided 2/9. and put your answer as a reduced fraction.
Answer:
3 6/7
Step-by-step explanation:
divide 6/7 by 2/9 and that equals 3 6/7 and since you cant simplify that the answer stays the same which the answer is 3 6/7
Study these equations:
f(x) = 2x - 4
g(x) = 3x + 1
What is h(x) = f(x)g(x)?
O h(x) = 6x2 – 10x - 4
O h(x) = 6x2 – 12x - 4
O h(x) = 6x2 + 2x - 4
O h(x) = 6x2 + 14x + 4
Answer:
A. h(x) = 6x2 – 10x – 4
Step-by-step explanation:
Got 100% on edge.
The value of h(x) is h(x) = 6x^2 -10x + 4
How to determine the composite function?The functions are given as:
f(x) = 2x - 4
g(x) = 3x + 1
So, we have:
h(x) = f(x)g(x)
This gives
h(x) = (2x - 4) * (3x+ 1)
Evaluate
h(x) = 6x^2 + 2x - 12x - 4
This gives
h(x) = 6x^2 -10x + 4
Hence, the value of h(x) is h(x) = 6x^2 -10x + 4
Read more about composite functions at:
https://brainly.com/question/10687170
#SPJ5
Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximately
inches. Enter only the number.
Answer:
A = 379.94 square inches
Step-by-step explanation:
The area of a circle equation is:
A = pi * r^2
Fill in what you know and solve:
A = 3.14 * 11^2
A = 3.14 * 121
A = 379.94
The area of the circle is 379.94 square inches.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the area of a circle with a radius of 11 inches.
Here, area of a circle is
A=3.14×11²
= 3.14×121
= 379.94 square inches
Therefore, the area of the circle is 379.94 square inches.
Learn more about the area of a circle here:
brainly.com/question/28642423.
#SPJ5
A road map is drawn to the scale of 1 inch equals 20 miles. How far apart in miles are two towns which are 2 1/2 inches apart on the map?
50
Step-by-step explanation:
You set this up with a ratio, 1:20 or 1 equals 20 miles. So i'm multiplying by 20 regardless. Now I have 2 and a half inches or you can say 2.5. Multiply 2.5 (on paper..) and 20 and there you go. 20 times 2 equals 40 and 20 times a half is 10, 40 + 10= 50.
Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000
Answer:
Step-by-step explanation:
i think this is the answer
576.628
Answer:
[tex]\frac{72776}{125}[/tex]
Step-by-step explanation:
500+76+6+1/5+1/125
500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125
62500+9500+750+25+1/125
[tex]\frac{72776}{125}[/tex]
or 582.208
or
[tex]582 \frac{26}{125}[/tex]
At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery
Answer:
9 people
Step-by-step explanation:
9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.
HELP PRECALC DO NOT UNDERSTAND WILL GIVE BRAINLIEST
Answer:
the lower right matrix is the third correct choice
Step-by-step explanation:
Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).
Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.
__
We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.
The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...
[tex]\left[\begin{array}{ccc|c}1&1&1&29000\\1+2&1-3&1-1&1000(29+1)\\0&0.15&0.15&2100\end{array}\right] =\left[\begin{array}{ccc|c}1&1&1&29000\\3&-2&0&30000\\0&0.15&0.15&2100\end{array}\right][/tex]
Already, we see that the second row matches that in the lower right matrix.
The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.
The correct choices here are the two you have selected, and the lower right matrix.
a tree is 5 feet 3 inches tall. how tall is it in inches
Answer:
63 inches
Step-by-step explanation:
Answer:
63 inches
Step-by-step explanation:
12inches = 1 foot.
5x12=60+3=63
which measurement is closest to the area of a circle with a circumference of 24 centimeters
Answer: 144π or 452.389342117
Step-by-step explanation:
24= circumference
c=dπ
c=24π
24/2=12
12=radius
12^2π=area
144π=area
The hole for a footing needs to be 8 ft deep. If it is currently 1 ft 5 inch deep how much deeper does it need to be dug? Give the answer in inches
The telephone company offers two billing plans for local calls. Plan 1 charges $32 per month for unlimited calls and Plan 2 charges $17 per month plus $0.04 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2.
b. Explain the meaning of the answer to part a.
Step-by-step explanation:
Answer in image below press on it
What information can be used to compare linear relationships. Explain why
Step-by-step explanation:
y=mx+b m being the highest point x being the lowest
Answer:
Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
This is the sample response.
how do you convert a fraction to decimal
HELP WILL GIVE BRAINLIEST!!Aiden has $15.00 on his copy card. Each time he uses the card to make a photocopy, $0.06 is deducted from his card. Aiden wants to be sure that there will be at least $5.00 left on his card when he is finished. The inequality below relates x, the number of copies he can make, with his copy card balance.
15 minus 0.06 x greater-than-or-equal-to 5
What is the maximum number of copies Aiden can make?
Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
What is a requirement of adjacent angles?
Answer:
Step-by-step explanation:
Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
537²×15.90²=74²
I know this looks like pythagorean theorem. But how do they teach this to high schooler?
Answer:
It looks like this question is not solvable. So, if this is absolutely correct, write "no solution".
Step-by-step explanation:
Below is the first step to attempt solving the equation.
The little twos at the top of each number are called exponents. This means a number times itself.
So,
537*537=288,369
15.9*15.9=252.81
74*74=5476
Now, take the 288,369*252.81 to get a total of 72,902,566.89 .
Since this answer is (obviously) not equal to the 5476 on the other side, the two are not equal.
Here's how you'd work it out on paper to show it isn't solvable.
(537*537)*(15.9*15.9)= (74*74)
(288,369)*(252.81)= 5476
72,902,566.89 ≠5476
So the answer would be:
Not solvable.
It cost Mila $5.00 to send 125 text messages. What is the cost of sending text messages, in dollars per text?
Answer:
0.04 dollars per text
Step-by-step explanation:
5 dollars divided by 125 texts is equal to 0.04 dollars per text. SO just do 5/125 to get your answer
answer is 0.04 in text
I need help on this question 109^41/109^94
Answer:
[tex]\frac{1}{109^{53}}[/tex]
Step-by-step explanation:
[tex]\frac{109^{41}}{109^{94}}=109^{41-94}=109^{-53}=\frac{1}{109^{53}}[/tex]
Solve
-6y + 4 = |4y + 12|
Answer:
[tex]y = - \frac{4}{5} [/tex]
Height for each toddler at Mrs.orlando daycare
Answer: 1.5
Step-by-step explanation:
To find the quartiles, let's first find the median by sorting the data points from least to greatest.
81
,
82
,
83
,
83
84
,
84
,
84
,
85
81,82,83,83⋮84,84,84,8581, comma, 82, comma, 83, comma, start color gray, 83, end color gray, \varvdots, rectangle, start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
The median is the mean of the two middle numbers.
83
+
84
2
=
167
2
=
83.5
2
83+84
=
2
167
=83.5start fraction, start color gray, 83, end color gray, plus, start color gray, 84, end color gray, divided by, 2, end fraction, equals, start fraction, 167, divided by, 2, end fraction, equals, start color #9d38bd, 83, point, 5, end color #9d38bd
The first quartile is the median of the data points to the left of the median.
81
,
82
,
83
,
83
81,82,83,8381, comma, 82, comma, 83, comma, start color gray, 83, end color gray
Q
1
=
82
+
83
2
=
165
2
=
82.5
Q
1
=
2
82+83
=
2
165
=82.5Q, start subscript, 1, end subscript, equals, start fraction, 82, plus, 83, divided by, 2, end fraction, equals, start fraction, 165, divided by, 2, end fraction, equals, start color #ff00af, 82, point, 5, end color #ff00af
The third quartile is the median of the data points to the right of the median.
84
,
84
,
84
,
85
84,84,84,85start color gray, 84, end color gray, comma, 84, comma, 84, comma, 85
Q
3
=
84
+
84
2
=
168
2
=
84
Q
3
=
2
84+84
=
2
168
=84Q, start subscript, 3, end subscript, equals, start fraction, 84, plus, 84, divided by, 2, end fraction, equals, start fraction, 168, divided by, 2, end fraction, equals, start color #6495ed, 84, end color #6495ed
IQR
=
Q
3
−
Q
1
=
84
−
82.5
=
1.5
IQR
=Q
3
−Q
1
=84−82.5
=1.5
(8x/2)^3 whats the answer??????
Answer:
(8x)^(2/3
Step-by-step explanation:
what is the slope of the line ?
dives from a platform that is 5 meters above water. dive takes her 2.5 below the surface of the water. How far does 's dive take ?
Answer:
7.5 meters
Step-by-step explanation:
Stay safe!!! Stay 6 feet!!
Answer:
its 7.5
i got it right