The graph shows the function f(x) = 6(3)^x What is the value of the inverse function, f ^-1 at x = 2
Answer:
Step-by-step explanation:
y = f(x)
y = 6 * 3^x
Interchange x and y
x = 6 * 3^y
Divide by 6
x/6 = 3^y
Take the log of both sides
log(x/6) = log(3)^y
Bring the y down
log(x/6) = y log(3) \
Divide by log(3)
log(x/6)/log(3) = y
Let x = 2
log(2/6) / log(3) = y
-(0.4771 )/ 0.4771 = y
y = - 1
Remark
The original graph is in green
The red graph is the inverse.
The point (2,-1) is marked so that you know it falls on the inverse.
At a hockey game, a vender sold a combined total of 136 sedas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the
number of sodas and the number of hot dogs sold
Answer: just do 3x136
step-by-step explanation:
bfui3qtwsd3wa CAF
The number of sodas sold is 102 and the number of Hot dogs sold is 34.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, At a hockey game, a vendor sold a combined total of 136 sodas and hot dogs.
Let "x" be the number of hot dogs sold
Since The number of sodas sold was three times the number of hot dogs sold.
thus,
Number of Sodas sold = 3 * x
Since total items sold = 136
x + 3x = 136
4x = 136
x = 34
Thus, the number of Sodas sold = 34 * 3
the Number of Sodas sold = 102
therefore, the number of sodas sold is 102 and the number of Hot dogs sold is 34.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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A spaceship weighs 410,000 kg. what is this number, without units, in scientific notation?
PLZ HELPP ASAP!!!
Answer:
4.1 x 10^5Step-by-step explanation:
10^5 = 100,000 x 4.1 = 410,000
In an experiment with 50 trials, the number 5 occurred 17 times, the number 6 occurred 8 times, the number 7 occurred 13 times, and the number 8 occurred 12 times. Let p be defined on the set {5, 6, 7, 8}. Find each of the following. Write each probability rounded to the nearest hundredth.
Explicaciones paso a paso:
Primero es necesario aclarar que el porcentaje en total es igual a 100%
Entonces si en total todos los ensayos dan un total de 50 ensayos lo único que se debería de hacer para conocer la probabilidad de cada número sería multiplicar por 2 el número de veces que ocurrió cada número.
Respuesta:
5 = 34%
6 = 16%
7 = 26%
8 = 24%
Espero haber ayudado y que tengan un buen día.
What is 1,713.9999 rounded to the nearest thousandth?
Answer:
1714
Step-by-step explanation:
hope this helps have a great day
Help sorry nothing was attached last time
Given:
The area of a rectangle is 99 square yd.
Length of the rectangle = 7 yd more than twice the width.
To find:
The dimensions of the rectangle.
Solution:
Let x be the width of the rectangle. Then, length of the rectangle is:
[tex]Length=2x+7[/tex]
Area of a rectangle is:
[tex]A=length\times width[/tex]
[tex]A=(2x+7)\times x[/tex]
[tex]A=2x^2+7x[/tex]
The area of a rectangle is 99 square yd.
[tex]2x^2+7x=99[/tex]
[tex]2x^2+7x-99=0[/tex]
Splitting the middle term, we get
[tex]2x^2+18x-11x-99=0[/tex]
[tex]2x(x+9)-11(x-9)=0[/tex]
[tex](x+9)(2x-11)=0[/tex]
Using zero product property, we get
[tex](x+9)=0[/tex] and [tex](2x-11)=0[/tex]
[tex]x=-9[/tex] and [tex]x=\dfrac{11}{2}[/tex]
[tex]x=-9[/tex] and [tex]x=5.5[/tex]
Width of the rectangle cannot be negative. So, [tex]x=5.5[/tex] yd.
Now, the length of the rectangle is:
[tex]Length=2x+7[/tex]
[tex]Length=2(5.5)+7[/tex]
[tex]Length=11+7[/tex]
[tex]Length=18[/tex]
Therefore, the length of the rectangle is 18 yd and the width of the rectangle is 5.5 yd.
Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion I need a sentence not a single number answer
Answer:
please provide the choices of this question
Sarah's family of 4 went camping for 1 week. they each year 3 paper plates a day. how many paper plates did the family use up week while they were camping?
Answer:
84
Step-by-step explanation:
they use 3 plates a day
there are 4 of them
so in one day, they use 12 plates [3x4]
they camp for 7 days, so 12x7.
84!! :D
Given that (2,-8) is on the graph of f(x), find the
corresponding point for the function
f(x + 5).
Answer:
i dont know man
Step-by-step explanation:
Find the diameter of the object.
diameter: __ cm
Answer: 1 1/5
Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.
Sven earns $750 in his first month at a new part-time job. If his pay rate increases by 0.5% each month, how much will Sven have earned after one year?
Answer:
Step-by-step explanation:
750.05 easy :)
Answer:
$796.26
Step-by-step explanation:
answer on my exam
HELP ASAP (Brainliest)
What is the area of this figure?
Enter your answer in the box.
A rectangle has a length of 2 units and a width of 1 3/4 units? What is it’s area?
Answer:
3/2
Step-by-step explanation:
Plssssssssssssssss help
Answer:
EF is the chord of K
hope it helped
Answer:
EF is the chord of K
Step-by-step explanation:
plz mark me as brainliest
A half of what john's age was 4 years ago is equal to one third of what it will be in 5 years' time. How old is john now?
I think its 10, correct me if u find its wrong
The Question: Find the measure of the angle marked with the question mark.
Please help me.
pls answer w work/equation explained sooonnn
Answer:
15.5 in
Step-by-step explanation:
To find diameter from circumference, divide circumference by π
48.67/3.14=15.5
help please ill give you brainliest if it’s right.
Answer:
[tex] \frac{4}{3} \times \pi \times {21}^{3} = 38772.719999383[/tex]
Exact Volume = 12348pi
Approximate Volume = 38772.72 (when using pi = 3.14)
Units for the volume are in cubic inches
====================================================
Explanation:
The cube has a side length of 42 inches.
Because the sphere is as large as possible, yet fully contained in the box, this means the diameter of the sphere is 42 inches.
If the diameter is 42, then the radius is half that at 21.
Plug r = 21 into the formula below to compute the volume of the sphere
V = (4/3)*pi*r^3
V = (4/3)*pi*21^3
V = (4/3)*21^3*pi
V = 12348pi .... exact volume
If we use the approximation pi = 3.14, then we would get,
V = 12348*pi
V = 12348*3.14
V = 38772.72 .... approximate volume
The units for the volume are in cubic inches. If you need more accuracy for the approximate volume, then use more decimal digits of pi.
Which number line shows the approximate location of the square root of 10?
Answer:
It should be somewhere near 3.16
Step-by-step explanation:
The square root of 10 simplified is around 3.16
Answer:
Estimated 3.16
Step-by-step explanation:
I'm taking the test right now. Mark brainliest if it helped.
ILL GIVE BRAINLIEST 5x +2y = 24 solve for x
Answer:
x = 24/5 - 2y/5
Step-by-step explanation:
Please help me with my work give brainlessly
Answer:
Volume = 684 in^3
Step-by-step explanation:
To start, the equation for Volume = L*W*H
So, lets begin with the cube on the top, all of its sides are 6 inches in length, so do:
6*6*6 to get the volume of just it
216
Next. lets get the rectangular prism.
6*6*13
468
Last, combine these.
684 in^3
Solve : 4x=3x+5 please gelp
Answer:
x=5Step-by-step explanation:
Isolate by the x from one side of the equation.
First, you have to subtract by 3x from both sides.
[tex]\sf{4x-3x=3x+5-3x}[/tex]
Solve.
x=5
[tex]\large\boxed{x=5}[/tex]
Therefore, the solution is x=5.
[tex] \huge \rm{answer:} \: \boxed{ \rm{ \purple{x = 5}}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge \red{\boxed{ \sf{armed \: account}}}[/tex]
[tex] \huge \rm{4x = 3x + 5} \\ \huge\rm{4x - 3x = 5} \\ \huge \rm{1x = 5} \\ \huge \boxed{\rm{x = 5}}[/tex]
➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
I hope you understood!✏➖➖➖➖➖➖➖➖➖➖➖➖➖➖➖
[tex] \huge\boxed{\boxed{ \rm{Hope \: this \: helps}}}[/tex]
HeLP me ASAP PLEASE ASAP i will give 50 points for the right answer
I edited it this should be the correct answer
Answer:
1/8
Step-by-step explanation:
probability for cube(even) = 3/6
probability for color = 1/4
(1/4)*(3/6)=3/24=1/8
Answer: 1/8
Step-by-step explanation:
the probability for getting an even number on the cube is 3/6 or 1/2
the probability of getting red is 1/4
1/2 times 1/4 is 1/8
Terrell de shays statement balance is $432.10 he has one outstanding check for $37.00 what is terrells adjusted balance?
Answer:
add 37.00 to 432.10. so you get 432.10 + 37.00 = 469.1
The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?
24
8
96
12
Answer:
24
Step-by-step explanation:
asap please !
What is the probability of rolling a 6 on a fair die if you know that the roll is an even number? Give your answer as a simplified fraction.
Answer:
3
Step-by-step explanation:
6 divided bye 2=3
hi! please help i’ll give brainliest
Answer:
wave erosion
Step-by-step explanation:
Answer:
Wave Deposition
Step-by-step explanation:
HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!
Please answer correctly I’ll mark you brainlist!
Answer:
296.96 m
Step-by-step explanation:
The plot shows the number of students in a
certain school who have 0, 1, 2, 3; 4, or 5 pets.
What is the median number of pets for these 100
students?
Answer:
2.5
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
I don't know, but it makes the most sense. It can't be 1, that's too low. And it obviously not 22.5 or 30. So that means either 1.5 or 2, and 2 is the most centered. Therefore, I'm guessing 2.