For the function 4^x=(1/8)^(x+5), the value of x, using exponents' properties is obtained as option 2: x = -3.
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
The given function is - 4^x=(1/8)^(x+5)
This function can be solved using the properties of exponents.
The first property of exponents is - (a^m)^n = a^(m·n)
The second property of exponents is - 1/(a^n) = a^-n
Simplify the left hand side of the function -
4^x = (2²)^x
Using the first property of exponents -
(2²)^x = 2^(2x)
Simplify the right hand side of the function -
(1/8)^(x+5) = (1/2^3)^(x+5)
Using the second property of exponents -
(1/2^3)^(x+5) = (2^-3)^(x+5)
Using the first property of exponents -
(2^-3)^(x+5) = 2^(-3x - 15)
The function then becomes -
2^(2x) = 2^(-3x - 15)
Since, the base is same they cancel out.
2x = -3x - 15
2x + 3x = -15
5x = -15
x = -3
Therefore, the value of x is obtained as x = -3.
To learn more about exponent from the given link
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please help!! I need help with this math angle stuff
Answer:
A:
1,5
2,6
3,7
4,8
B:
1,8
2,7
C:
3,6
4,5
Answer:
A) 2 & 8 1 & 7
B) 1 & 8 2 & 7
C) 3 & 6 4 & 5
Step-by-step explanation:
If anyone can answer these questions that would help a lot. Besides 13 and 14
Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
Use the following table to find the Rate of Change.
Answer:
x=1 and y= 6
Step-by-step explanation:
and for y its a positive cause their both negitives
While working at a soup kitchen, Roxanne made a pot of vegetable soup to serve 25 people. She made 10 quarts of soup, and gave each person an equal portion.
How much soup did each person get?
Write your answer as a proper fraction or mixed number.
Answer:
2.5 quarts or 5/2
Step-by-step explanation:
Answer:
2/5 quarts or 0.4 quarts
Step-by-step explanation:
there are 25 persons
she made 10 quarts soup
10 quarts / 25 persons = 2/5 quarts = 0.4 quarts
Can anyone help me please
I’ll mark brainliest.
Answer:
1. his account will be 120
2. 6 weeks
3. Yes, Lala will get 120 in 4 weeks while Andra will get 100
If you wanted to know Andra equation will be y=20x+20
Step-by-step explanation:
Hope this helped
What type of decimal is 0.275
A. Repeating Decimal
B. Terminating Decimal
C. Non-Terminating Decimal
D Complex Decimal
Answer:
Complex Decimal.
it is the correct answer.
PLEASE HELP ME!! I will give brainliest
Answer:
D
Step-by-step explanation:
It is on the positive side of the graph and the point is on 3,1
are the rates equivalent?
Answer:
No
Step-by-step explanation:
0.3/4= 0.075
0.9/15= 0.016
They aren't equal.
Answer:
no they are not
Step-by-step explanation:
cause I said
2x-6y=12 and -5x+15y=-30 elimination
Answer:
unsolvable because the second equation is just -2.5 times the first equation.
Step-by-step explanation:
2x-6y=12 then 2x=12+6y x=6+3y
-5x+15y=-30
substitute x
-5(6+3y)+15y=-30
-30-15y+15y=-30
y=y
Write and solve an equation to answer the question,
"18 is 32% of what number w?"
An equation is
= 0.32
The solution is w=
Answer:
the answer is 56.25
Step-by-step explanation:
.32x=18
×=56.25
1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°
How many books can be read in twenty-four days if sixteen books can be read
in seventy-two days at the same rate?
Answer:
for step of kepp of yours alive
1.309 > 1.315 lololoolollooolllllllllllllllllllll
Answer:
I’m confused on what you want me to do but that is false
Step-by-step explanation:
Answer:
the answer is 1.309<1315
Is -3x+5=-3x+8 infinate many solutions
15•(13 - 7) ÷ (8 - 5) Simplify
Answer:
30
Step-by-step explanation:
15•(13-7)÷(8-5)
15•(6)÷(3)
90÷3
30
Answer:
30
Step-by-step explanation:
15 x 6 / 3 =
90 / 3 =
30
Hope that helps!
imao help me with zearn
Answer:
4
Step-by-step explanation:
if there are 8 ounces for 2 then there are 4 ounces for 1.
Answer:
with what?
Step-by-step explanation:
Write the equation in standard form for the circle passing through (2,6) centered at the origin.
==========================================================
Explanation:
The center is the origin, so (h,k) = (0,0).
The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2
(x-h)^2 + (y-k)^2 = r^2
(2-0)^2 + (6-0)^2 = r^2
2^2 + 6^2 = r^2
4 + 36 = r^2
40 = r^2
r^2 = 40
We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.
------------------
Since h = 0, k = 0, and r^2 = 40, we can say:
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 40
x^2 + y^2 = 40
A water bottle costs $9.45. Sales tax is 7%. What is the total cost?
Answer:
$10.11
Step-by-step explanation:
Before Tax Price: $9.45
Sale Tax: 7.00% or $0.66
After Tax Price: $10.11
Answer:
9.46
Step-by-step explanation:
divide 9.45 by .07 then add that to 9.45 and round
Select each equation which is equivalent to 60% of 25.
✓
0.6 • 25 = x
X • 1.6 = 25
16
60
100
25
25
100
6.0 • 25 = x
Answer:
Step-by-step explanation:
The answer choices are not displaying properly. There are many ways to express the relation. For example:
X = 60% of 25
X = 0.60 × 25
X = 0.6 × 25
X = 60/100 × 25
X = 6/10 × 25
X = ⅗ × 25
What are three other names for range. ( This is for algebra)
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answer:
x=3
Step-by-step explanation:
51 degrees + (7x+18) degrees = 90 degrees
7x+18=90-51
7x+18=39
7x+18-18=39-18
7x=21
7x/7=21/7
x=3
2. Jules conducted a survey and asked 100
people how many years of education they have
and what their annual income is. She used the
results to make a scatter plot.
What type of assoastion should she expect to see in the scatter plot
Please help ASAPPPPPO
Answer:
x=all real numbers
y=all real numbers
Step-by-step explanation:
x=-5y-1
-3(-5y-1)-15y=3
15y+3-15y=3
3=3
therefore the answer is all real numbers
Please answer for kind of a lot of points :D
Answer:
(5.5d + 8) miles27.5 milesStep-by-step explanation:
Lyndsay ⇒ 3d + 5Seth ⇒ 2.5d + 3a) Together they run:
3d + 5 + 2.5d + 3 = (5.5d + 8) milesb) They run 5 days Monday through Friday last week:
5.5*5 = 27.5 milesanyone elses gym teacher play its raining tacos like the whole gym class? lol just me?
The number 5/7 can be best described as a(n) _____.
mixed number
improper fraction
proper fraction
Answer:
proper fraction
Step-by-step explanation:
Nope just yours l.ma0.
I need help with this
9514 1404 393
Answer:
perimeter: 20 unitsarea: 27.5 square unitsStep-by-step explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
__
The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units
Consider the system of equations.
8x+2y=8
y= −4x+4
The system has blank solutions.
SELECT CHOICE
no,
infinitely many,
one.
then both equation r same after we re arrange it so no result
Need help with this problem
m∈(-∞,-4)∪(4,+∞)
Step-by-step explanation: Photo Math App
What is the y-intercept? y = -1/3x + 4
Answer:
4
Step-by-step explanation:
the y intercept is never with another variable, -1/3 would be the slope