Mathematics College

4^(x-1)+4^(x)+4^(x-1)=84

Answers

Answer 1

Answer:

7.66

Step-by-step explanation:

Just open the parenthesis.

4x-4+4x+4x-4=84

Now simplify and solve

12x-8=84

12x=92

x= 7.66

Related Questions

What's -3(x – 4) =

A. -3x + 12

B. -3x + 4

C. -3x - 4

D. -3x - 12

Answers

Answer:

Step-by-step explanation:

-3(x-4)= multiply -3 with each term in parenthesis

-3x+12 choice A

Steven hiked 3/8 mile in 1/4 hour. How fast did he hike, in miles per hour?

3/23

2/3

1 1/2

4

Answers

It's the first option, 3/23

-18/36+12/36
Whats the sum?

Answers

Answer:

-1/6

Step-by-step explanation:

-1/6, hope i helped :))

Is the binomial a factor of the polynomial function?

f(x)=x^3+4x^2-25x-100
Select Yes or No for each binomial.

Binomial Yes No
(x-5)
(x+2)
(x-4)

Answers

binomial (x+11) answer

No
Yes
Yes
Are the answers

Definition: This is an approximate calculation of quantity or degree or worth.
Example: Bill Gates net worth is about 75 billion dollars.

Answers

I don’t get the question

Answer:

estimation

Step-by-step explanation: Just got it correct thanks to the person in the other answers comments

Estimate the sum of 6107 and 2960 to the nearest thousand.

How u do this

Answers

Answer:

9,000

Step-by-step explanation:

You would add it together.

6107 + 2960 = 9,067

You round the thousand (9) to the 0.

The rule is that if any number next to the one your rounding is higher then 5 or is 5 then the rounding number will go up, if its 4 or below if won't go up but stay the same.

9,067 would not go up but stay the same because of the rule.

Estimations are guesses from the mind so an exact answer wouldn't work but its whatever.

write an equivalent expression to present patricia total earnings this week 7h + 135 + 5h = ?h + ?

Answers

Answer: 12 h + 135

Step-by-step explanation: 7h +135 + 5h = ?h + ?

7h +5h +135

=12h +135

So u combine like terms together which are 7h and 5h which gives you 12 h.And then you have 135 left,so you add 12h to 135.

Ps.If you don't know what like terms are.I will explain down below.

Like terms are variable that are the same.For an example 4y and 3y are like terms .Another example is 1/3 xy and 6xy .

Hope this helps :) and if it does please give brainliest .

Here is a tape diagram representing the ratio of red paint to yellow paint in a mixture of orange paint.
What is the ratio of yellow paint to red paint? Type your answer in the format: 3:4

Answers

Answer:

2:3

Step-by-step explanation:

So there are 9 cups of red paint

There are 6 cups of yellow paint

Now we need yellow:red

6:9

Simplify it

2:3

So the ratio is 2:3 for yellow to red paint

Answer:

Step-by-step explanation: 2:3

hellllllllllllllllllllllllllllppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

2.2x 5 = 11

AWNSER: W=11

Hope This Helps, have a great day!

A JIT system uses kanban cards to authorize movement of incoming parts. In one portion of the system, a work center uses an average of 105 parts per hour while running. The manager has assigned an inefficiency factor of .35 to the center. Standard containers are designed to hold 3 dozen parts each. The cycle time for parts containers is about 90 minutes. How many containers are needed

Answers

Answer: 6 Containers are needed

Step-by-step explanation:

The ideal number of Kanban cards can be calculated using the following formula;

N = (DT × ( 1 + X)) / C

where N is total number of container,

D is panned usage rate of using work Centre

T is Average waiting time for replenishment of parts plus average production for a container of parts,

X is policy variable set by management that reflects possible inefficiency in the system ,

C is capacity of standard container.

Now, given that;

D = 105 parts

T = 90min = 90/60 = 1.5 hrs

X = 0.35

C = 3 × 12parts = 36 parts

so; we substitute

N = (105×1.5 × ( 1 + 0.35)) / 36

N = 212.626 / 36

N = 5.9063 ≈ 6

Therefore 6 Containers are needed

What is the inverse of the function f(x) = 1/4x-12?

Answers

Answer:

[tex]\huge\boxed{f^{-1}(x)=4x+48}[/tex]

Step-by-step explanation:

In order to find the inverse of a function, we need to follow a couple of steps.

Step 1: Write the function as [tex]y=mx+b[/tex] Step 2: Swap all x and y values Step 3: Solve for y Step 4: Replace y with [tex]f^{-1}(x)[/tex]

We can follow these steps to find the inverse of this function.

Step 1: We can just replace the f(x) with y, making our function [tex]y=\frac{1}{4}x-12[/tex].

Step 2: We can swap where the x and y values are, making our equation

[tex]x = \frac{1}{4}y-12[/tex]

Step 3: We can now solve for y.

[tex]x = \frac{1}{4}y-12[/tex] [tex]x + 12 = \frac{1}{4}x[/tex] [tex]4x+48 =y[/tex]

We now have the function as [tex]y = 4x+48[/tex].

Step 4: We can now replace the y with [tex]f^{-1}(x)[/tex].

[tex]f^{-1}(x) =4x+48[/tex]

Therefore the inverse of [tex]f(x) = \frac{1}{4}x-12[/tex] is [tex]f^{-1}(x) =4x+48[/tex].

Hope this helped!

Taylor bought a painting for 1 million yen

Answers

Answer:

Yen is the currency of Japan

what is 40% less than 70

Answers

Answer is 42. 70 x .4 =28. 70-28

What is the explicit formula for the geometric sequence with this recursive formula? { a1 = -7 an = an-1 • (1/3)

Answers

9514 1404 393

Answer:

an = -7(1/3)^(n-1)

Step-by-step explanation:

The explicit formula for a geometric sequence with first term a1 and common ratio r is ...

an = a1·r^(n-1)

The multiplier in the recursion relation is the common ratio: 1/3. The first term is given as a1 = -7. Putting these in the general formula, we have ...

an = -7·(1/3)^(n-1)

pls hurry I need this. can y'all answer this ?

Answers

The answer would be
1.)12.9%
2.)45.15%
3.)I need the full sentence to figure it out

Hope this helps

Have a great day/night

(If you want me to explain then please ask)

A garden has the form of a right triangle. One leg of the triangle is formed by a 2000-ft long sea wall. The hypotenuse of the triangle is 400 ft longer than the other leg. What are the dimensions of the garden?

Answers

Answer:

[tex]H = 5200[/tex] - Hypotenuse

[tex]S_1 = 2000[/tex] - Leg 1

[tex]S_2 = 4800[/tex] - Leg 2

Step-by-step explanation:

Represent the dimensions as:

[tex]H = Hypotenuse[/tex]

[tex]Other\ Legs = \{S_1,S_2\}[/tex]

So, we have:

[tex]S_1 = 2000[/tex]

[tex]H = 400 + S_2[/tex]

Required

Determine the dimensions

Apply Pythagoras theorem

[tex]H^2 = S_1^2 + S_2^2[/tex]

This gives:

[tex](400 + S_2)^2 = 2000^2 + S_2^2[/tex]

Open bracket

[tex]160000 + 800S_2 + S_2^2 = 4000000 + S_2^2[/tex]

[tex]160000 + 800S_2 = 4000000[/tex]

Collect Like Terms

[tex]800S_2 = 4000000 - 160000[/tex]

[tex]800S_2 = 3840000[/tex]

Solve for S2

[tex]S_2 = \frac{3840000}{800}[/tex]

[tex]S_2 = 4800[/tex]

Recall that:

[tex]H = 400 + S_2[/tex]

[tex]H = 400 + 4800[/tex]

[tex]H = 5200[/tex]

Hence, the dimensions are:

[tex]H = 5200[/tex]

[tex]S_1 = 2000[/tex]

[tex]S_2 = 4800[/tex]

What is the value of b?

Answers

Answer:

interior angle of a hexagon = 720

straight line is a 180 degree angle.

180- 116 = 64

a=64

180- 82 = 98

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
The total number of students is 30,

Now,

10% of students take lunch,
So the number of students who take lunch,
= 10% of 30
= 3

Similarly,

Number of students who takes Breakfast = 9
Number of students who takes super = 18

___

7×3 = 21

2×4 = 8

___

7×4 = 12

i am thinking of a number x. What algebraic expression represents "eight less than three times this number "?

Answers

Answer:

3x-8

Step-by-step explanation:

3x is three times the number, -8 is 8 less.

Stations 1, 2, and 3 are bus stations. The equation y = 160x represents the number of people that go to Station 1, where y is the total number of people and x is the number of hours since opening. The table shows the same relationship for Station 2, and the graph shows the relationship for Station 3.

Answers

Answer:

station three for part a and 2,064 for part b

Step-by-step explanation:

i got the answer correct

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