Answer:
[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]
[tex]f(x) = 8(4)^x[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 2(3)^{x-2} + 2[/tex]
[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]
Required
Remove the h component
In a function, the h component is highlighted as:
[tex]f(x) = a^{x+h}[/tex]
So, we have:
[tex]f(x) = 2(3)^{x-2} + 2[/tex]
Split the exponents using the following law of indices:
[tex]a^m/a^n = a^{m-n}[/tex]
[tex]f(x) = 2*\frac{3^x}{3^2} + 2[/tex]
[tex]f(x) = 2*\frac{3^x}{9} + 2[/tex]
[tex]f(x) = 2[\frac{3^x}{9}] + 2[/tex]
The h component has been removed
[tex]f(x) = \frac{1}{2}(4)^{x+2}[/tex]
Split the exponent using the following law of indices
[tex]a^{m+n} =a^m * a^n[/tex]
So, we have:
[tex]f(x) = \frac{1}{2}(4)^x * 4^2[/tex]
Express 4^2 as 16
[tex]f(x) = \frac{1}{2}(4)^x * 16[/tex]
Divide 16 by 2
[tex]f(x) = 8(4)^x[/tex]
A photo booth in the shape of a rectangular prism has edge lengths of 3 ft by 4 ft by 7 ft. What is the volume of the space inside the photo booth?
Answer:
V=84ft³
Step-by-step explanation:
Answer:
Heyaa!! My name is Pinky and im here to inform you that your answer is...
Step-by-step explanation:
!!! V=84ft³ !!!
My clarification or my work is:
V=w h l= 4· 7· 3 =84ft³
w= Width
L= Length
H= Height
Have an amazing dayy!!
~Pinky~
1.4 litres of a liquid has a mass of 1,526 g.
Find the density of the liquid in kg/m3
Answer:
Step-by-step explanation:
Given data:
Mass of the liquid ( m ) = 550 kg
Volume of the liquid ( v ) = 680 litre
= 680*10-3 m3
= 0.68 m3
Now, Density of the liquid = (m/v)
= (550 kg )/(0.68 m3)
= 809 kg/m3
The density of the liquid is 1,090 kilograms per cubic meter.
What is density?The density is the ratio of mass to volume of any substance. Let m be the mass of the object and v be the volume of the object. Then the density D will be given as,
D = m / v
First, convert the volume into cubic meters. Then we have
⇒ 1.4 x 0.001
⇒ 0.0014 m³
The density of the liquid is calculated as,
Density = (mass ÷ volume)
Density = (1,526 g ÷ 0.0014 m³) ÷ 1,000
Density = 1,090 kg/m³
Therefore, the density of the liquid is 1,090 kg/m³.
More about the density link is given below.
https://brainly.com/question/15164682
#SPJ2
1.99 divided by 3 to the nearest cent.
Answer:
nearest tenth?
Step-by-step explanation:
your answer would be .663
Simplify to the tenth would be make it .7
CAN SOMEBODY PLEASE HELP ME WITH THIS?
Solve the linear inequality below.
9x – 8 > 4x + 7
Answer:
Step-by-step explanation:
9x-4>4x+7
-4x
5x-4>7
+4
5x>11/5
x>2.2
Answer:
9x-4x>7+8
5x > 15
X >3
So the answer is x >3
does anybbody know the answer to this? #help
Answer:
each tube costs $1.5 so put it the point in between 1 and 2
thank you
Step-by-step explanation:
Find the surface area of the composite figure.
SA = [ ? ] cm^2
I WILL MARK YOU AS BRAINLIEST IF YOU CAN ANSWER :)
Answer:
6 inches fell an hour
6x30 =180 so One hundred eighty inches in 30 mins
Step-by-step explanation:
Answer:
0.5 in per hour
16.2 in 30 hours
Step-by-step explanation:
If you want to find the amount of rain that falls in one hour, divide 13 by 24
13/24= 0.541 inches per hour
Then multiply this by 30
0.541 x 30 = 16.23
Since they want you to round to the nearest tenth, your answers would be:
0.5 in per hour
16.2 in 30 hours
please help i will give brainliest
Answer:
Part 1: 2.4 + x
Part 2: 4(2.4 + x) = 14.8
Step-by-step explanation:
2.4 + x is the total distance covered every day.
We know that after 4 days, Bijan has run 14.8 miles, so in total he has run 4(2.4 + x) miles, which is equal to 14.8.
Extra: Here's how to work out x!
4(2.4 + x) = 14.8
9.6 + 4x = 14.8
4x = 5.2
x = 1.3
Hope that helps!
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Answer:
im about to get visous on gta so its 70%
Step-by-step explanation:
which value is not equivalent to the other's
Answer:
The one that is not equivalent to the others is:
2 + 2 + 2 + 2 + 2
Step-by-step explanation:
this is because all of the other ones are equal to 32. This one equals to 10.
Which linear equation is written in slope-intercept form?
Question 12 options:
6y = –2x + 12
–2x = y + 5
3x – 4y = 9
y = –3x +1
Answer:
It’s the 3rd one
Step-by-step explanation: it’s the 3rd one
Help I don’t know what to do
Answer:
20 mm (C)
Step-by-step explanation:
Why is the length of the base of the rectangle the same as the circumference of the circles in the net of a cylinder?
Answer:
The width of the rectangle is the same as the length of the cylinder (h). The area of each of the two circles is \\ (\\pi r^2\\) and the area of the rectangle is \\ (2 \\pi r times h\\).
Step-by-step explanation:
Explain pleaseeeeeeeeeeeee
Answer:
81°
Step-by-step explanation:
all triangles = 180°
Is 2.164213562 Rational or Irrational
Gail works for a vending company. she gets paid $64 per week plus 20% of her total sales. how much will her total sales for the week have to be in order for girl to make at least $200
Answer:
680 sales
Step-by-step explanation:
20% of 680 is 136.
So her 64 for a week plus the 136 from sales is 200.
Hope this helps
Brainliest would be appreciated
Bab in need of help ☹️
Answer:
100 π
Explanation:
Since the equation for the area of a circle is π r^2, and the diameter is 20m. There is enough info to proceed.
First, half the 20m to 10m since the radius is 1/2 of the diameter.
Next, plug this into the formula to get the answer:
π 10^2
π 100
100 π is the answer, since it is looking for it in terms of π.
Answer:
A≈314.16m²
Step-by-step explanation:
I cant write it down lol, I promise its right! :)
Given that events A and B are independent with P(A)=0.31P(A)=0.31 and P(B)=0.7P(B)=0.7, determine the value of P(B|A)P(B∣A), rounding to the nearest thousandth, if necessary.
I need help please.
Answer:
.7
Step-by-step explanation:
I'm going to assume you meant to write all that stuff once
The conditional probability formula is as follows : (B|A)=(A∩B)/A
We're told that the two probabliites are independent of each other which means that A∩B= A*B
Which means we have
(.31*.7)/(.31)
This should simplify to .7
*note* a shortcut you can use when finding the conditional probability of two independent probabilities you can just take the first probability (or in this case B) and that'll be your final answer
Evaluate the expression 4^x/2^x for x=3
Answer:
[tex]\frac{64}{2^3}[/tex]
Step-by-step explanation:
[tex]\frac{4^x}{2^x} = \frac{4^3}{2^3} = \frac{64}{2^{3}}[/tex]
What two consecutive numbers make 81
Answer:
40 and 41.
Step-by-step explanation:
81/2 = 40.5, thus 40 and 41
8) a) How much money will there be in an account at the end of 6 year if $2000 is deposited at compounded quarterly? Write the formula and show all work.
Answer:
$2539.47
10.18722679 (make sure you round this)
Step-by-step explanation:
a.)
Equation for compound interest:
[tex]AV=P(1+\frac{i}{n})^{n*t}\\2000(1+\frac{.04}{4})^{4*6}\\2000(1.01)^{24}\\2539.469297\\[/tex]
which rounds to
2539.47
b.)
using the same equation we can write
[tex]3000=2000(1+\frac{.04}{4})^{4t}\\1.5=1.01^{4t}\\log_{1.01}1.5=4t\\log_{1.01}1.5=\frac{log(1.5)}{log(1.01)}=40.7489\\40.7489=4t\\10.18722679=t[/tex]
not sure how to round this, so I'll leave that part up to you
Which equations represent exponential growth?
Which equations represent exponential decay?
Drag the choices into the boxes to complete the table.
Exponential Growth Exponential Decay
Answer:
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Step-by-step explanation:
The key to differentiate between decay and growth is the term inside the bracket
For growth, the term inside the bracket is greater than 1, while for decay, the term inside the bracket is less than 1
Looking at the given equations, we have;
Growth;
A = 20,000(1.08)^t
A = 40(3)^t
P = 1700(1.07)^t
Decay;
A = 80(1/2)^t
A = 1600(0.8)^t
P = 1700(0.93)^t
Answer:
* For future readers *
I just took the test :)
is 1/4 equivalent to 1/8? use the number lines below and the drop-down menus to explain your answer
Answer:
NO
Step-by-step explanation:
The left side 0.25 does not equal to the right side 0.125 , which means that the given statement is false.
Answer:
no because is you change 1/4 to have a common denominator of 8 it will be 2/8 which doesn't equal 1/8
hope this helps
have a good day :)
Step-by-step explanation:
Determine the niinimum and maximum value of the following trigonometric
function.
f(x) = 5 cos 3x – 3
9514 1404 393
Answer:
maximum: +2
minimum: -8
Step-by-step explanation:
The cosine has a minimum of -1 and a maximum of +1. Then the extremes of f(x) are ...
5(±1) -3 = -3±5 = +2, -8
The maximum of f(x) is +2; the minimum is -8.
Help me find the numbers for the function table
Answer:
0,4,7
Step-by-step explanation:
you take the input number like 8 subtract it by 4 to get the output
Answer:
'x-4' are 4-4; 8-4; 11-4
Outputs are 0, 4, 7
Step-by-step explanation:
'x - 4' for:
4 = 4-4 = 0
8 = 8-4 = 4
11 = 11-4 = 7
∴ Outputs are 0, 4, 7
What was the estimated population population of Rhode Island in 1760?
Answer:
D. 45,000
Hope this helps :)
Find the value of x. (I'll mark brainlest!!!)
Answer:
The answer is B
Step-by-step explanation:
Answer:
you can use law of sines
Plug in the values (lol sorry i dont have time)
x / sin(angle) = y / sin(angle)
Where x and y are separate sides.
Hope this Helps! :3
1. Tra is going to order a pizza from a local pizza parlor. She will choose 1 crust, 1 sauce, 1 topping and 1
cheese for her pizza. She can choose from 4 types of crust, 4 types of sauce, 12 different toppings and 6
different cheeses to make her pizza. If Ira wants either tomato sauce or garlic sauce on her pizza, how many
different pizza's can Ira make?
Answer:
ira can make 4 pizzas
Step-by-step explanation:
Amy walks to school everyday. It is 800 meters from her house to the front door. It takes her 240 seconds to walk to school. What is her average speed?