Answers
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
Related Questions
Can someone help me?
Answers
The table shows the amount of apple sauce made from one apple of each size. Patrice has 17 medium apples and 23 large apples. What is the total amount of apple sauce that she can make with these apples? here's the table:
Apple size: small medium large
1/3 cup 1/2 cup 3/4 cup
Answers
Answer:
uhhhhh 75
Step-by-step explanation:
Help pls!! Find the value of x and m
Answers
Answer:
The answer's the third one listed.
Step-by-step explanation:
The equation to solve for x is:
6x + 16 + 10x - 6 + 90 = 180
16x + 100 = 180
16x = 80
x = 5
To solve for angle BCD, just substitute 5 for x
m = 10(5) - 6
m = 50 - 6
m = 44
help please i rlly need the answers as soon as possible
Answers
I need help with these 2.
Answers
(I BEG U TUTORS HELP) the value if x=9 a solution to the system of equations shown below. Where b is some unknown constant. Determine the value of b. Show how you arrived at your answer
y=2x-20
y= -5x+b
Answers
Answer:
b = 43
Step-by-step explanation:
So let's plug things in first:
y= 2x - 20 and y= -5x +b which can become →
2x - 20 = -5x + b (now you said that x=9 so let's plug that in)
2(9) -20 = -5(9) + b (now try solving that)
18 -20 = -45 + b → -2 = -45 + b ( so then add 45 to both sides)
43 = b ( and there's your answer )
Which graph represents f(x) and the inverse f^-1(x)
Answers
Answer:
D
Step-by-step explanation:
The inverse or f⁻¹(x) of a function f(x) is the graph being reflected over the line y = x.
For A, f(x) is reflected over the x-axis.
For B, f(x) is rotated about a point.
For C, f(x) reflected over the y-axis.
And for D, f(x) is reflected over the line y = x.
So, the graph that represents f(x) and its inverse f⁻¹(x) is choice D.
7. Is the Graph a Function? *
Answers
Answer:
I believe it is a function because there are 2 points passing through the x-axis
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
when you use the vertical line test it goes through only 1 line, so that means it's a function
PLEASE HELP!!!!!!!
Points A and C are vertices of a cube with a side length of 2 cm, and B is the point of the intersection of the diagonals of one face of the cube, as shown below.
Determine the length of CB.
Answers
9514 1404 393
Answer:
CB = √6 cm
Step-by-step explanation:
The diagonal of a square is √2 times the edge length, so the length AB will be (1/2)√2(2 cm) = √2 cm.
Then the length CB is given by the Pythagorean theorem as ...
CB = √(AC^2 +AB^2) = √((2 cm)^2 + (√2 cm)^2) = √(4 +2) cm
CB = √6 cm
is it Min or Max
help me pls
Answers
Answer:
Max
Step-by-step explanation:
Since the vertex is on top and the graph is opening down, there is a max value at the top.
please help me i need to turn in assignment!!!!! i will mark the answer brainliest. plz be descriptive!!!
Answers
Answer: D. 150
Step-by-step explanation:
Given equation: [tex]3(3x-10)=5(x+10)[/tex] , it shows the relationship between the perimeter of an equilateral triangle and the perimeter of an equilateral triangle.
Consider [tex]3(3x-10)=5(x+10)[/tex]
[tex]\Rightarrow\ 9x-30=5x+50\\\\\Rightarrow\ 9x-5x= 50+30\\\\\Rightarrow\ 4x= 80\\\\\Rightarrow\ x=\dfrac{80}{4}\\\\\Rightarrow\ x= 20[/tex]
Now, perimeter of pentagon = 5(x+10) = 5 (20+10)
= 5(30) = 150
Hence, option D is correct.
Which two operations are needed to wrte the expression that represents Fournes heerence of a number and three? mult cation and subtraction Komision and subtraction Cmu tip cation and addition division and addition
Answers
Answer:
CMU+the curcumin of three is Fournes
Step-by-step explanation:
5(4x-10)+10x = 4(2x-3)+ 2(x-4)? is equal to - 7/4 or - 1/4 or 3/20 or 3/2 ?
Answers
Answer:
x is equal to 3/2
Step-by-step explanation:
Let's solve it!
5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)
expand:
20x - 50 + 10x = 8x - 12 + 2x - 8
group like terms:
30x - 50 = 10x - 20
factor out common multiples:
3x - 5 = x - 2
group terms again:
3x - x = -2 + 5
2x = 3
and divide both sides by two:
x = 3/2
please help me . need your help .
Answers
Answer:
23.3 cm
Step-by-step explanation:
use Pythagoras Theorem
length BD= 16²+10²= 356
√356= 18.9 cm
length DH= 30²-18.9²= 542.8
√542.8= 23.3 cm
DH=AE
Hence, AE= 23.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, i will follow u back
Answer: yes
Step-by-step explanation:
Substitute y=-2x+5 into 2y=2x-8 and solve for x
(help me asap please)!!
Answers
Answer:
x = 3
Step-by-step explanation:
2y = 2x - 8
2(-2x + 5) = 2x -8
-4x + 10 = 2x - 8
+4x +4x
10 = 6x - 8
+8 +8
18 = 6x
divide both sides by 6
x = 3
Hope this Helps!!!
Which is not a representation of the equation y = 0.5x - 2?
Select one: just look at the picture.
Answers
Answer:
D is incorrect so ur answer is D
A teacher is taking a group of students on a field trip to a living museum. The
cost of the teacher's ticket is $9. Student tickets cost $4. It costs $57 for
everyone to get into the museum. How many students were on the field trip?
Answers
Answer:My answer would be 2052
Step-by-step explanation:
513 X 4=2052
The Perimeter of the scalene triangle is 54.6cm
Which equation can be
used to find the value of b if side a measures 8.7 cm?
a 8.7+b=54.6
b 17.4+ b = 54.6
c 26.1 + b = 54.6
d 34.8+b =54.6
Answers
Answer: B. 17.4+b=54.6
Step-by-step explanation:
Edgen 2023
The equation can be used to find the value of b is 54.6 = 34.8 + b.
We have,
The border of the triangle is54.6 cm
and side a = 8.7 cm,
So, Perimeter = sum of the lengths of the three sides
54.6 = a + 3a + b
54.6 = 4a + b
We know a= 8.7 then
54.6 = 4(8.7) + b
54.6 = 34.8 + b
Therefore, the needed equation is54.6 = 34.8b.
Learn more about Perimeter here:
https://brainly.com/question/7486523
#SPJ6
ASAP HELP! Which equation is NOT linear?
O y = 5x
O y = 3 + 4x
O y = 2x3 - 1
O y = -3x -7
Answers
Answer:
y=5x is not linear
Step-by-step explanation:
option A is not linear
Which inequality is true when x=7 ?
A
x + 6 ≥≥ 18
B
x - 6 >> 18
C
11 - x ≤≤ 18
D
11 + x << 18
Answers
Please help due ASAP .....
Answers
Answer:
y = 4x - 9
Step-by-step explanation:
Same slope, so they're parallel
There are 13 girls on Janelle's soccer team. Uniforms cost $32 each. Which equation uses estimation correctly to show about how much money the team spent?
Answers
Answer:
$416
Step-by-step explanation:
From the above question,
Total number did people in a team = 13 girls
Uniform of each member of team = $32
The amount of money the team spent can be calculated as:
$32 × x
Where x = Number of people on the team = 13
The amount spent = $32 × 13
= $416
The amount the team spent is $416
A culture of bacteria has an initial population of 39000 bacteria and doubles every 9 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 2 hours, to the nearest whole number?
Answers
Answer:
45495
Step-by-step explanation:
Answer:
10077
Step-by-step explanation:
A culture of bacteria has an initial population of 5400 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P
t
=P
0
⋅2
d
t
, where P_tP
t
is the population after t hours, P_0P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 9 hours, to the nearest whole number?
P_0=5400
P
0
=5400
The initial population
t=9
t=9
Time elapsed
d=10
d=10
The doubling time
P_t = P_0\cdot 2^{\frac{t}{d}}
P
t
=P
0
⋅2
d
t
P_t=5400\cdot 2^\frac{9}{10}
P
t
=5400⋅2
10
9
Plug in
P_t=10076.7563\approx10077
P
t
=10076.7563≈10077
Use parenthesis in the calculator for the exponent
A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?1.Select allequations that represent the situation.
a.4⋅25=?
b.?⋅25=4
c.25÷4=?
d.4÷25=?
e.?÷25=
Answers
2
3
15
Is the unknown value in 3
15
the same as the unknown value in z
Part 1 out of 2
The unknown value in both ratios ?
the same.
Check
Next
Answers
6467 ytgychuuht6ctctcrxrctfctcyg
help please! due today!
Answers
If ,
[tex]\tt{z=-3+5i }[/tex] ⠀
so,
[tex]\overline{z}[/tex]=[tex]\tt{ -3-5i }[/tex]
Because,
In the argand plane ,[tex]\overline{z}[/tex] is the reflection of z in x-axis
Over a period of 3 hours, 190 leaves fell from a tree. At this rate, about how many leaves fell every hour?
Answers
Answer:
Im pretty sure its 60 leaves per hour.
ISABELRAINBOW PLEASE ANSWER BOTH THESE
Answers
BAHAHA I SAW MY NAME AND GOT SO SCARED
1st problem: 6/y^4
first, we express it with positive exponents.
6 x 1/y^4
then, we just calculate it.
6/y^4
2nd problem: (1/64)a^7 (the a^7 isn't just on the bottom part, it goes in the front of the fraction)
first, i expressed it with a positive exponent.
1/8^2 x a^7
then, i evaluated that.
(1/64)a^7
The two polygons are similar. Find measure of angle C
Answers
Answer: the answer is 48
Step-by-step explanation:
Daniel and Lisa are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Daniel sold 5 rolls of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $74. Lisa sold 1 roll of plain wrapping paper and 3 rolls of holiday wrapping paper for a total of $58. Find the cost each of one roll of plain wrapping paper and one roll of holiday wrapping paper
Answers
Answer:
P = 4 & H = 18
Step-by-step explanation:
Daniel : 5 plain paper + 3 holiday paper = 74, 5P + 3H = 74 . Lisa : 1 plain paper + 3 holiday paper = 58, P + 3H = 58 . Solving two equations, P = 4 & H = 18