Using an exponential function, it is found that f(5.5) = 19.8.
What is an exponential function?An exponential function is a function in which the growth rate is a percentage, modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.f(3.5) = 25 means that:
[tex]ab^{3.5} = 25[/tex]
[tex]a = \frac{25}{b^{3.5}}[/tex]
f(8.5) = 14 means that:
[tex]ab^{8.5} = 14[/tex]
Hence:
[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]
[tex]25b^5 = 14[/tex]
[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]
[tex]b = 0.89[/tex]
[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]
Hence, the function is given by:
[tex]y = 37.59(0.89)^x[/tex]
Then, when x = 5.5:
[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
Step-by-step explanation:
19.83
Daniel had 1,868 in his bank account before he left for North Carolina. He wrote a check for $710 to pay his monthly truck payment. He also wrote a check for $224.89 to Farm Bureau Insurance Company for his truck insurance. When he got home from North Carolina he deposited his paycheck in the amount of $4,020.67. What was the balance in his bank account after he deposited his paycheck?
Answer:
4,953.78 dollars. I think
Explain how to solve the equation
.
b – 7 = 12
Answer:
b=19
Step-by-step explanation:
Given:
b-7=12
Adding 7 to both sides
b-7+7=12+7
b=19
Answer:
b = 19
Step-by-step explanation:
The easiest way to solve equations like this is to do something referred to as "undoing in reverse order." Now, to undo subtraction, you have to add.
b - 7 = 12
b - 7 (+ 7) = 12 (+7)
b = 19
Therefore, the answer is 19.
A math book is 2.9 dm wide.
How many millimeters wide is the book? (1 dm = 100 mm)
Enter your answer in the box.
Answer:
290mm
Step-by-step explanation:
Conversion. 2.9dm x (100mm/1dm)=290 mm
A human hair has an average diameter of about 0.000017 meter. Write this measurement in scientific notation.
Answer:
1.7 x 10-5
Hope This Helps!
someone help me please!
i need the slope to this
(1,6) and (3,8)=
List the following fractions in order from least to greatest ½ ¾ 3/8 5/8 5/16 7/16 9/16 and 11/16
Answer:
3/8,5/8,9/16,7/16,11/16,5/16,3/4,1/2
Step-by-step explanation:
what is 346924632968/33656
Answer:
Your answer is 10307957.956 :)
Step-by-step explanation:
346924632968/33656 = 10307957.956
have an amazing day!!
Please rate and mark brainliest!!
The correct answer: is 10307957.956:).
Look for Relationships Does this system have one solution, no solutions,
or infinitely many solutions?
Write another system of equations with the
same number of solutions that uses the first equation only.
12x + 51y = 156
-8x - 34y = -104
simultaneous equations
Find the slope of the line passing through the points (-4, -4) and (2, 5)
Answer: The slope is 3/2
Step-by-step explanation:
To find the slope, you need to find the difference between the y coordinates and divide it by the difference in the x coordinates.
The y coordinates are -4 and 5
The x coordinates are -4 and 2
-4 -5 = - 9
-4 - 2 = -6
-9/-6 = 3/2
whats the sum to 4/6 4/6
In the given problem, the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex] is [tex]\frac{4}{3}[/tex].
The sum is the result of adding two or more numbers or terms. In other words, it is the process of bringing two or more numbers together to produce a new result or total. The symbol for the sum is "+".
The sum can be performed on any kind of number, including whole numbers, integers, rational numbers, real numbers, and complex numbers. The rules for addition are the same for all types of numbers.
To find the sum of [tex]\frac{4}{6}[/tex] and [tex]\frac{4}{6}[/tex],
[tex]\frac{4}{6}[/tex] + [tex]\frac{4}{6}[/tex] = 2 [tex]\times \ \frac{4}{6}[/tex]
= [tex]\frac{4}{3}[/tex].
So, [tex]\frac{4}{6}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{4}{3}[/tex].
Learn more about Sum here:
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PLEASE ANSWER QUICK. LOTS OF POINTS
By graphing the system of constraints, find the values of x and y that maximize the objective function.
2=
1=
x+y=<8
maximize for P=3x+2y
A) (2, 1)
B) (6, 2)
C) (2, 5)
D) (3, 5)
Answer:
c is the answer I'm sure
Find the upper bound for the following lengths:
b) 43.18 cm correct to 2 decimal places.
Answer:
43.185
Step-by-step explanation:
43.185.is the upper bound of 43.18 which is corrected to 2 decimal places.
What is upper bond?An element greater than or equal to all the elements in a given set
We need to find the upper bound of 43.18 cm correct to 2 decimal places
2 decimal place = 0.01
0.01 ÷ 2 = 0.005
So now add 43.18 and 0.005.
43.18 + 0.005 = 43.185.
Therefore 43.185.is the upper bound of 43.18 correct to 2 decimal places.
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A carousel has a radius of 20 feet. The carousel makes 8 complete revolutions. How many feet does a person on the carousel travel during these 8 revolutions
The number of feet a person on the carousel travels in 8 revolutions is 1004.80 feet
What is the circumference of a circle?The circumference of a circle is the distance round the circle. It is the perimeter of the circle.
circumference of a circle = 2πr
2 x 20 x 3.14 = 125.60 feet
Number of revolutions = 8 x 125.60 feet = 1004.80 feet
To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152
Use the algebra tiles to model x – 3. Then complete the statements. The variable is represented by Subtracting three is represented by. The tiles represent an unknown number.
The complete statements are as follows;
The variable is represented by one orange x tiles.
Subtract three is represented by three blue - tiles.
The tiles represent subtraction 3 from an unknown number.
What are algerbra tiles?Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -3.
The complete statements are as follows;
The variable is represented by one orange x tiles.
Subtract three is represented by three blue - tiles.
The tiles represent subtraction 3 from an unknown number.
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
Answer:
Use the algebra tiles to model x – 3.
Then complete the statements.
The variable is represented by
✔ one orange x tile
Subtracting three is represented by
✔ three blue – tiles
.
The tiles represent
✔ subtracting 3 from
an unknown number.
Step-by-step explanation:
What is the rate of change for this table?
Answer: 3
Step-by-step explanation: rate of change is y/x and the y/x is 6/2 which equals 3/1 or 3.
Which statement about a right triangle is NOT true
The hypotenuse is the longest side of the triangle.The square of the hypotenuse is equal to the sum of the squares of the other two lengths.
The sum of the length of the two legs is equal to the length of the hypotenuse.
The hypotenuse is always opposite the largest angle of the triangle.
Answer:
The sum of the length of the two legs is equal to the length of the hypotenuse.
A box is 1/5 inch taller than it is wide
Please help!! :) Thank you!
Let's complete the square
f(x) = x^2 + 6x + 8
y = x^2 + 6x + 8
y-8 = x^2 + 6x
y-8+9 = x^2+6x+9 .... see note below
y+1 = (x+3)^2
y = (x+3)^2-1
note: I added 9 to both sides due to taking half of the 6, and then squaring that result.
We'll restrict x such that [tex]x \ge -3[/tex] to ensure that this function is one-to-one.
Now we need to swap x and y, and solve for y to get the inverse
y = (x+3)^2 - 1
x = (y+3)^2 - 1
x+1 = (y+3)^2
(y+3)^2 = x+1
y+3 = sqrt(x+1)
y = sqrt(x+1)-3
g(x) = sqrt(x+1)-3 is the inverse
The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.
Without using a calculator, fill in the blanks with two consecutive integers to complete the in equality
Answer:
[tex]\sqrt{16} < \sqrt{17} < \sqrt{18}[/tex]
Step-by-step explanation:
Answer:
[tex]4 < \sqrt{17} < 5[/tex]
Step-by-step explanation:
Mumble. The square root is something called "monotonic", which means that [tex]a > b \Leftrightarrow \sqrt a > \sqrt b[/tex]
A neat trick to solve this will be: go back from 17 till you find a perfect square, then add 1 to it:
In our case it's easy to do it, since the number before 17 is a perfect square already ([tex]16=4^2[/tex]), so we can pick it as the lower bound, and then add 1 to the base to find the next one ([tex]4+1= 5)[/tex]
Pi is the number of times a circle’s diameter will fit around its.
Answer: yes
Step-by-step explanation: pi is 3.14(on and on)
Work out the size of an interior angle of a regular polygon with 24 sides.
Answer:
165°
Step-by-step explanation:
First, we need to find the sum of all the interior angles in the 24-sided polygon.
The equation for that is: 180 (n-2)
[n represents the number of sides]
180 (24-2)
180 (22)
3960
Then to find the measure of a single interior angle, just divide 24 from 3960.
3960 ÷ 24 = 165
Helpppppp meeeeeee pleaseeeeee !!!!
Answer:
which number?
can you tell us please
Victoria's favorite cookie recipe uses 170170170 grams of butter for every 250250250 grams of flour. Victoria's daughter made cookies using 340340340 grams of butter for every 400400400 grams of flour. What will Victoria think of her daughter's cookies? Choose 1 answer: Choose 1 answer: (Choice A) A They have too much butter. (Choice B) B They don't have enough butter. (Choice C) C They have the right amount of butter.
Answer:
(Choice A) A They have too much butter.
Step-by-step explanation:
Victoria's favorite cookie recipe
Grams of butter : grams of flour
= 170 : 250
= 170 / 250
= 17 / 25
Victoria's daughter made cookie
Grams of butter : grams of flour
= 340 : 400
= 340 / 400
= 34 / 40
= 17 / 20
(Choice A) A They have too much butter
Victoria will think her daughter's cookies have too much butter
Answer:
a
Step-by-step explanation:
Solve for X
13
6
2x – 18
U
4x - 29
PLEASE HELP!
Answer:
x = 15
Step-by-step explanation:
SV = ST + TU + UV , substitute values
4x - 29 = 13 + 6 + 2x - 18 , that is
4x - 29 = 2x + 1 ( subtract 2x from both sides )
2x - 29 = 1 ( add 29 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
The points S, T, U, and V are collinear points. Then the value of the variable x will be 15.
What are collinear points?If the points are in a line, then the points are collinear points.
Let A, B, C, and D are collinear point. Then the condition of the collinear will be
AB + BC + CD = AD
The line segment SV is given.
And the point T and U lies on the line segment SV.
The length of ST is 13, the length of TU is 6, the length of UV is 2x - 18, and the length of SV is 4x - 29.
It is clear that the points S, T, U, and V are collinear points.
ST + TU + UV = SV
13 + 6 + 2x - 18 = 4x - 29
2x + 1 = 4x - 29
2x = 30
x = 15
The value of the variable x will be 15.
More about the collinear points link is given below.
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What is the total length, in inches, of the longest piece and shortest piece of ribbon?
Help?!
Answer:
Step-by-step explanation:
12x3+14[tex]\frac{2}{4}[/tex]x2+14[tex]\frac{3}{4}[/tex]
total length would be 79.75 inches
the longest length of rope would be the farthest right one, or 14.75
and the shortest one would be the 3 pieces of 12 inches.
i hate how the intervals are set up for this problem lol.
please rate and mark as brianlest.
Please! I need help! ASAP!
2 solutions (2 intersection points)
and the solutions
(4 ; 5) and (0 ; - 3)
Tammy made 12 paper cranes in 3 days. Find the unit rate. Please provide a tape diagram
Answer:
To find the unit rate, we must find how many cranes Tammy made in one day.
12 (cranes) 4 cranes
_________ = ________, he makes 4 cranes per day.
3 days 1 day
Tape diagram provided;
The set of ordered pairs
below has a linear relationship
between x and y. Which one of the
following functions can represent
this set of ordered pairs?
{(0,-5), (2, 3). (3,7). (5,5)}
A: y= 4x - 5
B: y= 4x + 5
C: y= -4x - 5
D y= -4x + 5
Answer:
Recommendation: Try using the online graphing calculator Desmo and try to see if you can get your answer by entering the equations. desmo is free.
AWNSER CORRECTLY! 50 POINTs
Answer:
y = x+4
Step-by-step explanation:
Using the y=mx+b format, we can define the slope as 1...
1) y=1x+b or y=x+b
The y-intercept ( aka b )
2) y=x+4
Answer provided by Education Point
Answer:
[tex]\text{y = x + 4}[/tex]
Step-by-step explanation:
[tex]\text{Slope intercept form:}[/tex] [tex]\text{y = (m)x + (b)}[/tex] [tex]\text{[m = Slope; b = y-intercept]}[/tex]
To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.
[tex]\rightarrow \text{y = (m)x + (b)}[/tex]
[tex]\rightarrow \text{y = (1)x + (4)}[/tex] [tex]\text{[m = 1; b = 4]}[/tex]
[tex]\rightarrow\boxed{\bold{\text{y = x + 4}}}[/tex]
Learn more about slope intercept form:
https://brainly.com/question/20786109Name the ordered pair for point H. 5 dots plotted on a coordinate plane. Point A is 5 units above and 4 units to the right of the origin. C is 4 units above and 5 units to the right of the origin. H is 3 units above and 1 unit to the right of the origin. K is 1 unit above and 3 units to the right of the origin. And N is 0 units above and 2 units to the right of the origin.
Answer:
Point H is (1,3)
Step-by-step explanation:
The x co - ordinate lies to the right and the y co-ordinate lies above . We are given H is 3 units above and 1 unit to the right of the origin so the co-ordinates of H are ( 1,3).
As this particular order (x,y) is used to represent the the point it is called ordered pair.
The ordered pairs of the other points are
Point A is (4,5)
Point C is (5,4)
Point H is (1,3)
Point K is (3,1)
Point N is (2,0)