Answers
Answers:
a = 475r = -0.5f(3) = 59.4=======================================================
Explanation:
Any exponential function is of the form y = a*b^x
Comparing that to y = 475*(0.5)^x, we see that a = 475 and b = 0.5
Set b equal to 1+r and solve for r
1+r = 0.5
r = 0.5-1
r = -0.5
The negative r value tells us that the growth rate is -50%, in other words, we have a 50% decay rate. The amount drops by 50% each time x goes up by 1. This is the same as saying the amount cuts in half each time x goes up by 1.
-----------------------
Lastly, plug in x = 3 to find f(3)
f(x) = 475(0.5)^x
f(3) = 475(0.5)^3
f(3) = 59.375
f(3) = 59.4
Related Questions
Please help!
The table shows the game scores of five players. Andy’s brother, Kevin, also plays and gets a score of 9. Find the mean, median, and mode of the data in the table. Then, find the mean, median, and mode of the data in the table and Kevin’s score.
Answers
Answer:
The third one
Step-by-step explanation:
Median - Middle number in terms of value
Mode - outcome that appears the most
Mean - average ( add the numbers together and divide that by the amount of numbers )
Data without Kevins score
13, 21, 28, 9, 31
First let's find the mean
To find the mean we simply add the numbers up and divide that by the total amount of numbers ( there are 5 numbers )
13 + 21 + 28 + 9 + 31 = 102
102/5=20.4
So the mean without Kevins score is 20.4
Next let's find the mode
The mode is the number that appears the most
Looking at the data no number appears more than once so there is no mode
Finally let's find the median.
To make it easier to find let's list the numbers in order from least to greatest
9, 13 , 21 , 28, 31
We then go to the middle number ( which would be 21 )
The mode is 21
So for data without Kevins score the mean would be 20.4, the median would be 21 and the mode would be none
Now let's add in Kevin's score and repeat this process
Data with Kevin's score
13, 21, 28, 9, 31, 9
First let's find the mean
( Note that there is 6 numbers this time )
13 + 21 + 28 + 9 + 31 + 9 = 111
111/6 = 18.5
So mean with Kevin's score = 18.5
Next let's find the mode
The number 9 appears the most so the mode is 9
Finally let's find the mean
Once again let's list the numbers from least to greatest
9, 9, 13 , 21 , 28, 31
Because there is an even amount of numbers we will take the sum of the two middle numbers and divide that by 2
The two middle numbers would be 21 and 13
21 + 13 = 34
34/2=17
So median = 17
In the end we get the following
Without Kevins score
Mean = 20.4
Median = 21
Mode = none
With Kevin's score
Mean = 18.5
Median = 17
Mode = 9
This information corresponds with the third table
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0<×<3
Answers
Answer:
Where 0 < x < 3
The location of the local minimum, is (2, 0)
The location of the local maximum is at (0, 16)
Step-by-step explanation:
The given function is f(x) = (x + 2)⁴
The range of the minimum = 0 < x < 3
At a local minimum/maximum values, we have;
[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]
∴ (-x + 2)³ = 0
x = 2
[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]
When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2
We have, f(2) = (-2 + 2)⁴ = 0
The location of the local minimum, is (2, 0)
Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3
When x = 0, -x + 2 = 0 + 2 = 2
Similarly, we have;
-x + 2 = 1, when x = 1
-x + 2 = 0, when x = 2
-x + 2 = -1, when x = 3
Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16
The location of the local maximum is at (0, 16).
What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...
Answers
The common multiplier is 7 but the actual formula you take the first term then multiply it by the multiplier raised to the n-1
A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:
Answers
Answer:
The answer is 11.8 m
Step-by-step explanation:
Hey Mate,
the volume of a cuboid is = whl....so the volume of it is the capacity of the tank
so 3 x 1.8 x 2.2 = 11.88 m is the answer
A larger number is double the sum of 3 and a smaller number. The larger number is 2 less than 3 times the smaller number. If y represents the larger number and x represents the smaller number, which equations model the situation? Check all that apply.
y=3x-2
3x-y=2
3x-y=-2
y=2-3x
y=2(x+3)
Answers
Answer:
1,2, and 5
Step-by-step explanation:
y=2*(3+x)
y=3x-2
3x-y=2
4
On Monday, Lucy had
$40.00. She spent $12.00
on lunch on Tuesday. On
Wednesday, Lucy's mother
found $6.90 in change and
gave half of the money to
Lucy. How much money
does Lucy have now?
Answers
Answer:
40-12=28
28+3.45=31.45
so now lucy has 31.45
Your Welcome
BIFFY OUT!!!
look at the image for the question
Answers
Answer:
Answer is y = 6
Step-by-step explanation:
Solve for y.
Answer:
Y=6 I think but I’m not positive.
sorry if I’m wrong.
haha
get it? POSITIVE?
20 points for this make sure u explain
Answers
Answer:
it literally says +10
Step-by-step explanation:
scammer
Answer:
Step-by-step explanation:
6,7,8
Given the system of equations.
{-4x+y = 3
{2x - y = 12
Which of the options represents the resulting equation after an equivalent expression for y ls substituted into the
second equation.
2x - (4 X+3) = 12
-4(4y+)+y=3
2 (4x+3) - y
-4x+4 x-3=3
Answers
Answer:
A. 2x - (4x + 3) = 12
Step-by-step explanation:
A. 2x - (4x + 3) = 12
B. -4(4y+)+y=3
C. 2 (4x+3) - y
D. -4x+4 x-3=3
Given equation:
-4x+y = 3. (1)
2x - y = 12. (2)
From (1)
y = 3 + 4x
Substitute y = 3 + 4x into (2)
2x - y = 12 (2)
2x - (3 + 4x) = 12
Or
2x - (4x + 3) = 12
2x - 4x - 3 = 12
- 2x = 12 + 3
- 2x = 15
x = 15/-2
x = -7.5
Substitute x = -7.5 into (1)
-4x+y = 3 (1)
-4(-7.5) + y = 3
30 + y = 3
y = 3 - 30
y = -27
A cubical reservoir has capacity of 480000 l itters of liquid. If ifs length and breadth are 10m and 8m respectively, find the hight of the reservoir.
Answers
Answer:
Height = 6000 m
Step-by-step explanation:
[tex]Volume = length \times breadth \times height \\\\480000 = 10 \times 8 \times height\\\\480000 = 80 \times height\\\\height = \frac{480000}{80} = 6000 \ m[/tex]
It costs £420 for six tickets how much would 5 tickets be
Answers
(5^-4/4^-6) multiplied by 5^3
Answers
Step-by-step explanation:
(5^-4/4^-6) multiplied by 5^3
4⁶×5³/5⁴
4⁶/5
819.2
Answer:
[tex]{ \tt{ (\frac{ {5}^{ - 4} }{ {4}^{ - 6} } ) \times {5}^{3} }} \\ \\ = { \tt{ \frac{ {5}^{ - 4} . {5}^{3} }{ {4}^{ - 6} } }} \\ \\ { \tt{ = \frac{ {5}^{ - 1} }{ {4}^{ - 6} } }} \\ { \tt{ = \frac{ {4}^{6} }{ {5}^{1} } }} \\ = { \tt{ \frac{4096}{5} }} \\ \\ = 819.2[/tex]
In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG
Answers
Answer:
160°
Step-by-step explanation:
since it is a parallelogram it's opposite angles must be equal . So,
angle GHE = angle EFG
160 degree = angle EFG
Kofi paid rent of GH¢ 1,800.00 each year. If the rent is 0.3 of his annual income, find his annual income
Answers
Answer:
To find = his annual income
solution = annual income be = x
0.3 of x = 1,800
= 0.3x = 1, 800
= x = 6, 000
Annual income of GH¢ is = 6 , 000
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
PLEASE HELP MEE!! 50 POINTS
URGENT
The function y= x^2-10x+31 has a _____ (minimum, maximum) value of __ (5, 10, 31, 6)
Answers
Answer:
minimum value of 6
Step-by-step explanation:
Given
y = x² - 10x + 31
with a = 1, b = - 10
Since a > 0 then the function has a minimum value
The minimum value is the y- coordinate of the vertex.
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5
Substitute x = 5 into the function for y- coordinate of vertex
y = 5² - 10(5) + 31 = 25 - 50 + 31 = 6
The function has a minimum value of 6
the mean age of 8 people is 16 years. when mrs. hernandez's age is included, the mean age increases to 20. how old is mrs. hernandez?
Answers
Answer:
52
Step-by-step explanation:
8*16 = 128
8*20 = 180
180-128 =52
1. Harsha makes a scale drawing of a window. She uses the scale 1cm represents 20cm.
A).on her drawing the window is 6cm wide. How wide is the window in real life?
B).The window in real life is 2.2m high. How high is the window on the scale drawing?
Give your answer in centimeters.
Answers
Part (A)
(1 cm)/(20 cm) = (6 cm)/(x cm)
1/20 = 6/x
1*x = 20*6
x = 120
120 cm = 120/100 = 1.2 m
Answer: 1.2 m=========================================================
Part (B)
2.2 m = 2.2*100 = 220 cm
(1 cm)/(20 cm) = (x cm)/(220 cm)
1/20 = x/220
1*220 = 20*x
20x = 220
x = 220/20
x = 11
Answer: 11 cmwhat is the measure of each exterior angle of a regular dodecagon?
Answers
Answer:
30°
Hope this answer is right!
Step-by-step explanation:
to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon's twelve exterior angles. Each exterior angle is 30°.
4x-10+1.5x-4x+11=8.5-6
Answers
Answer:
x=1
Step-by-step explanation:
4x-10+1.5x-4x+11=8.5-6
Combine like terms
1.5x+1=2.5
Subtract 1 from each side
1.5x+1-1=2.5-1
1.5x = 1.5
Divide by 1.5
1.5x/1.5 = 1.5/1.5
x=1
Answer:
x=1
Step-by-step explanation:
Given :
4x-10+1.5x-4x+11=8.5-6
4x+1.5x-4x=8.5-6-11+10
1.5x=1.5
x=1
Value of x=1
Solve: -8.8 > 2.3
I don't understand this- can someone help?
Answers
Well you can't really solve it but it's false.
It's should be -8.8 < 2.3
> means "is greater than"
< means "is less than"
Find the volume of each shape.
Answers
Step-by-step explanation:
1. length ×breadth ×height
12× 6 ×3= 216
2. A is the area of the base, h is the height
18×16=288
3.10×14×5=700
Answer:
21. 216m^3
22. 4071.5m^3
23. 700m^3
Step-by-step explanation:
21. V = L*W*H
V = 3*6*12
V = 216
22. V = [tex]\pi r^{2} h[/tex]
The diameter is 18 so the radius is 9
V = [tex]\pi[/tex](9^2)(16)
V= 4071.50408
23. V = L*W*H
V= 10*5*14
V=700
find the measure of the missing angle (#4 btw)
Answers
Answer:
Step-by-step explanation:
1)
∠1 = ∠2 {Angles opposite to equal angles are equal}
∠1 = ∠2 = x
x +x + 55 = 180 {angle sum property of triangle}
2x + 55 = 180
2x = 180 - 55
2x = 125
x = 125/2
x = 62.5
∠1 = 62.5
2) ∠2 = 62.5
3) ∠3 = 55 {Vertically opposite angles are congruent}
4) ∠4 + 105 = 180 {linear pair}
∠4 = 180 - 105
∠4 = 75
5) ∠3 + ∠4 + ∠5 = 180 {Angle sum property of triangle}
55 + 75 +∠5 = 180
130 + ∠5 = 180
∠5 = 180 - 130
∠5 = 50
Congruent angle pairs : find value of x and the value of y
Answers
Please help I’ll give brainliest
Answers
For this question, we will need to know that when we divide two numbers with the same base but different exponents, we must subtract the exponents.
[tex]\dfrac{a^m}{a^n}=a^{m-n}[/tex]
Solving the Question[tex]\dfrac{9^5}{9^3}[/tex]
Subtract the exponents:
[tex]9^2[/tex]
Answer[tex]9^2[/tex]
What is the slope of the line shown below?
10
O A-4
5
B. -2
ရှိ မရှိ ။
(2,4)
C. 2
10
15
45
O D. 4
10
Answers
Answer:
C) 2
Step-by-step explanation:
I need help asap!!!! 13 points
Answers
If IK is the whole length of the line segment, then IJ + JK = IK.
IJ + JK = IK
(3x - 5) + (2x - 1) = (3x + 2)
3x + 2x - 5 - 1 = 3x + 2
5x - 6 = 3x + 2
2x - 6 = 2
2x = 8
x = 4
Now that we know the value of x, we can plug this value back into the expression for JK and evaluate.
JK = 2x - 1
JK = 2(4) - 1
JK = 8 - 1
JK = 7
Hope this helps!
This is because JK + IJ = IK which means 2x-1+3x-5=3x+2
When you simplify this you will get x=4
You then plug 4 into your equation for JK so 2(4)-1 which equals 7
Evaluate.
3·(7-3)²=?
Answers
Explanation:
3•(7-3)^2
=3•4^2
=3•16
=48
Have a nice day!
Given the formula below, solve for x.
Answers
Answer:
find X in X with x if you find X with x in with x you got a formula
??? What’s the answer
Answers
let's calculate the front face area and then multiply by 8cm to get the volume
18cm*24cm / 2 *8cm
= 1728cm³
(x+4)+(x-3)+(2x+2)+(x^2+3x+1)
Answers
Answer:
X^2+7x+4
Step-by-step explanation: