Answer: f(x)= -2x+1
Step-by-step explanation:
The expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
What is expression ?Expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
We have,
[tex]\frac{64^x}{4^{5x-1}}[/tex]
So,
Now, to rewrite in form of [tex]4^{f(x)}[/tex],
So,
Rewrite the given expression in the form of 4,
i.e.
[tex]\frac{64^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3)^x}{4^{5x-1}}[/tex]
[tex]=\frac{(4^3x)}{4^{5x-1}}[/tex]
NOw,
Using Exponent rule,
We get,
[tex]=4^{3x-(5x-1)}=4^{3x-5x+1}[/tex]
On solving we get,
[tex]=4^{-2x+1}[/tex]
So,
[tex]4^{f(x)}=4^{-2x+1}[/tex]
Hence, we can say that the expression for f(x), when we rewrite [tex]\frac{64^x}{4^{5x-1}}[/tex] as [tex]4^{f(x)}[/tex] will be [tex]4^{-2x+1}[/tex].
To know more about expression click here
https://brainly.com/question/953809
#SPJ2
Your job is to sort and sack marbles for sale a bag contains 55 marbles some red and some green if there are 11 red marbles what is the ratio of red to green marbles?
Answer:
1:4
Step-by-step explanation:
There are only two colours available, red and green. We know that there are 11 red marbles and 55 marbles altogether, so the number of green marbles must be 55 - 11, or 44. That means that the ratio of red to green marbles is 11:44, or 1:4.
Gabriel was given a gift card for a coffee shop. Each morning, Gabriel uses the card to
buy one cup of coffee. Each cup of coffee costs $4 and the original amount of money
on the gift card was $20. Make a table of values and then write an equation for A, in
terms of x, representing the amount money remaining on the card after buying x
cups of coffee.
Number of Cups of Coffee Amount of Money Remaining on Card
Answer: A =
Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
SIMPLE SLOPE MATH QUESTION PLS HELPPPPPPPPPPP
Answer:
9/2
Step-by-step explanation:
Please mark as brainliest. I'm happy to help
Answer:
9/2
Step-by-step explanation:
slope formula is :
( Y2-Y1)
----------- =
( X2-X1)
FAST THIS IS TIMED
PLEASE HELP ME I REALLY NEED IT THANKS MUCH
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)
Answer:
No, he is not correct he spends 25% more time on his homework
Step-by-step explanation:
25/20 =1.25 -1 =.25 x 100 =25% more time spent on his HW.
Answer:
Yes he is correct
Step-by-step explanation:
125% × 20 =
(125 ÷ 100) × 20 =
(125 × 20) ÷ 100 =
2,500 ÷ 100 =
25;
Proportional means
Check ALL that apply.
*
same
equal
different
other
Answer:
promotional means same
hope it may help if it so please mark as brienlist
Answer this question quickly plz
Answer:
a.
1 quarter=0.25
240*0.25=60
again,
b.349/60=5.81 weak
Answer:
Step-by-step explanation:
a) he saves £60 per week
b) 60 x 6= 360
he needs to save £60 for 6 weeks to have enough money to buy a bike
What is the simplified value of
(a-3-2(a - 3)(a + 3) + (a + 3)??
How many ways can the teacher choose 5 girls to present their reports on Monday, and 5 boys to present their reports on Tuesday? Using (15C5), (14C5)
Answer:
6,012,006
Step-by-step explanation:
:0
Solve the system of equations using the substitution method.
y=2+56x
4x−3y=3
Enter your answer in the boxes.
(___,___)
Answer:
(6,7)
Step-by-step explanation:
took the test, was correct.
x= 6, y=7
solve for the first variable in one of the equations, then substitute the result into the other equations.
The value of x is 0.05 and y is 4.8 for given system of equations.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2+56x...(1)
4x−3y=3...(2)
Substitute (1) in equation (2)
4x-3(2+56x)=3
4x-6+168x=3
172x-6=3
Add 6 on both sides
172x=9
Divide both sides by 172
x=9/172
x=0.05
Now plug in x value in equation 1
y=2+56(0.05)
=2+2.8
y=4.8
Hence, the value of x is 0.05 and y is 4.8 for given system of equations.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
I need some answers be quick pls. If you get it right I will give you brainliest
Step-by-step explanation:
multiple the power and real number
Answers;
a) Multiply 2 by 3: 6ab.
b) Multiply [tex]c^{5}[/tex] by c by adding the exponents: c^6 or [tex]c^{6}[/tex].
c) Simplify the expression. 10y^7 or [tex]10y^{7}[/tex].
d) Simplify the expression. 12g^4h^5 or [tex]12g^{4}h^{5}[/tex].
AHH PLEASE HELP PLEASE HELP PLEASE ASAP!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!
Which statements are true? Check all that apply.
3
0-2.5=-22
2.
1
-1.5> -0.5
-0.50
-2.5<-2
0
0 12
> 1.5
-1
-2
-3
Answer:
1. -2.5 = -2 1/2
3. -0.5 < 0
4. -2.5 < -2
Write the word sentence as an equation.
t less than 5 is 12
Answer:
t-5=12
Step-by-step explanation:
Which point on the graph best represents the location of (-45. - 7)?
ASAP
Answer:
I am sure it is the point N. I apologize if im wrong but the image quality is horrible. If I am wrong then it is O.
There are 6 blue markers, 4 red
markers and 5 green markers. What
is the ratio of blue to total markers?
Answer:
9 is the answer to that question
PLEASE PLEASE
I BEG YOU...
Answer:
1) y=4
2) y=7
3) x=6
Step-by-step explanation:
to get y, divide x by 2. to get x, multiply y by 2
determine the slope of the lines.
line 1: y=9
line 2: x=-3
are the slopes parallel, perpendicular, or neither?
The equation x+3y=2 can be rewritten in the equivalent form y=___x+____ which revels a slope equals to ___
-3,-2,-1,-2/3,-1/3,1/3,2/3,1,2,3
Hello!
[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]
x + 3y = 2
Rewritten into slope form: y = mx + b
Find the slope when rewritten:
Move x to the right hand side of the equation. (Subtract)
x - x + 3y = 2 - x
3y = 2 - x
Divide both sides by 3:
y = 2/3 - 1/3x
Rearrange:
y = -1/3x + 2/3.
The slope is equivalent to -1/3.
Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inches c. 8.25 inches b. 4.55 inches d. 3.65 inches
Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
r is its radiush is its height∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
Answer:
B.) 4.55
Step-by-step explanation:
Edge 2021
If I have an acid with a pH of 5 and an acid with a pH of 3 which is stronger and by how much? 5, by 10 times
3, by 100 times
3, by 10 times
Answer:
3, by 100 times
Step-by-step explanation:
a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.
X^2+16x-2=11 completing the square
Answer:
x = -8 ± √77
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Algebra I
Completing the SquareStep-by-step explanation:
Step 1: Define
x² + 16x - 2 = 11
Step 2: Solve for x
Add 2 on both sides: x² + 16x = 13Complete the Square: x² + 16x + 64 = 13 + 64Simplify: (x + 8)² = 77Square root both sides; x + 8 = ±√77Subtract 8 on both sides: x = -8 ± √77Help!!! Will give brainliest!!
the sum of three angles of a triangle adds up to 180 degrees. In this problem, you are given two angles.
x+(2x+15)+the measure of angle Q should equal 180.
Since everything is addition, the parenthesis can be removed.
x+2x+15+Q=180. This can then be simplified to 2x+15+Q=180. Subtract 15 from both sides to get 2x+Q=165. Divide both sides by two to get the x by itself. x+Q=82.5.
Unfortunately I don't really know what to do from here, but I hope it helped at least a little.
Shirabi spent $208 on a sewing machine to make purses. She spends a total of $10 on thread, fabric, and accessories for each purse and plans to charge $36 for each purse. The equation represents her break-even point, when x represents the number of purses sold.
208 + 10x = 36x
How many purses must she sell in order to break even?
Answer:
8
Step-by-step explanation:
You want to isolate x so that you can solve for it based on the value you have.
This gives you 26x=208. 208/26 equals 8
Answer:
D) 8
Step-by-step explanation:
edge2020
What is the diameter of a sphere with a volume of 9409 in, to the nearest tenth of an inch?
Answer:
26.29 cu. in.
Step-by-step explanation:
Write the formula for the volume V of a cube with sides of length t. is V a function of t?
Answer:
The volume of a cube with the side length 't' will be:
V = t³
Yes! the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.
Step-by-step explanation:
We have to determine the volume of a cubeWe know that volume is the measurement of how much space a 3-d object takes up.
Given that the cube with the side length 't'.
As every edge of the cube is the same length.
Thus, the volume of a cube with the side length 't' will be:
V = t³
For example, if the side length t = 2 cm
Then,
V = 2³ = 8 cm³
Yes, the volume of the cube is a function of the side length as the volume is a dependent quantity and depends on the value of side length.
Select all the groups of numbers that are ordered correctly from least to greatest.
A, 2,−4,6,−8
B, −13,−16,12,1
C,−110,0.2,310,14
D,−112,−0.75,−0.25,112
E,−8,−34,−3,14
Answer:
C
Step-by-step explanation:
The options are
0
1
2
4
Answer:
it is 1
Step-by-step explanation:
because the line goes through 1 on the y-axis
Answer:
The answer is 1
Step-by-step explanation:
How many moles of mercury, Hg is in a sample of 505 grams?
Answer: 2.52Hg
Step-by-step explanation:
First and foremost, we should realize that:
1 moles Mercury = 200.59 gram
Therefore, the number of moles of mercury, Hg is in a sample of 505 grams would be calculated as:
= 505/200.59
= 2.52
What are the three methods to solve a system of linear equations?
Ob babysits the kids next door every day after school for 1.5 hours. He earns $3.50 an hour. How much money will he earn in 6 weeks if school is in session 5 days a week the whole time? Show your work.
Answer:
$157.5
Step-by-step explanation:
Given that:
Number of hours worked after the school = 1.5 hours
Earnings per hour = $3.50
Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25
Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25
Number of weeks for which Ob works = 6
Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days
Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5