To answer, let's use the exponent rules, here x³ denotes "x multiplied by itself three times,"
What is exponent rule?Exponents, often known as powers, specify how many times the base number must be multiplied.
Exponent rules are principles that are used to simplify expressions using exponents. These principles are also useful in simplifying formulas with exponents that are decimals, fractions, irrational numbers, or negative integers.
Negative exponents Rule: [tex]a^{-m} = 1/a^m[/tex]Product Rule: [tex]a^m * a^n = a^{(m+n)}[/tex]Quotient Rule: [tex]a^m / a^n = a^{(m-n)}[/tex]Power of a Power Rule: [tex](a^m)^n = a^{mn}[/tex]An exponent is just a shortened way to denote repeated multiplication. x³ (or "x to the third power") in algebraic terms denotes "x multiplied by itself three times," or x x x.
Power is a mathematical phrase that denotes the repeated multiplication of a value or number.
As an example, power 6³ explains how three times the number 6 is multiplied.
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The complete question s as follows:
What is the meaning of x³ in math?
The table of ordered pairs (x, y) gives an exponential function.
Write an equation for the function.
y
- 1
6
0
12
1
24
2
48
Answer:
f(x) = 12*(2)^x
Step-by-step explanation:
A generic exponential equation is written as:
f(x) = A*(r)^x
And we also know that this equation passes through:
(-1, 6)
(0, 12)
(1, 24)
(2, 48)
For the second point, (0, 12) we know that when f(0) = 12
Then:
f(0) = 12 = A*(r)^0
And for every real number different than zero, a^0 = 1
Then:
f(0) = A*1 = A = 12
Then the equation is:
f(x) = 12*(r)^x
Now we can use one of the other points, like (1, 24)
Then f(1) = 24
We can solve:
f(1) = 24 = 12*(r)^1 = 12*r
24/12 = r
2 = r
Then the equation is f(x) = 12*(2)^x
Now we need to check if this function also passes through the points (-1, 6) and (2, 24):
f(-1) = 12*(2)^-1 = 12/2 = 6
f(2) = 12*(2)^2 = 12*4 = 48
Nice.
So we can see that the function is f(x) = 12*(2)^x
The function h(t) = 162 +64t models the height, in feet, of a ball t seconds after it was kicked into the air. Which statement is true?
A. The ball reaches its maximum height 4 seconds after it was kicked.
O B. The ball reaches its maximum height 8 seconds after it was kicked.
O C. The ball takes 2 seconds to hit the ground.
D. The ball takes 4 seconds to hit the ground.
find the area of the shaded region, round to two decimals
Answer:
A = 660.72 in^2 - A = 98 in^2 = 562.7 in^2
Step-by-step explanation:
Formula for a seven sided polygon/heptagon is:
A = (1/4)na^2 cot(π/n) = nr^2 tan(π/n
n n = 7 sides
side length a = 13.4841 in
inradius r = 14 in
circumradius R = 15.5388 in
area A = 660.72 in^2
perimeter P = 94.3886 in
interior angle x = 128.571 °
exterior angle y = 51.4286 °
To calculate the square from a diameter use this formula: q = √(2a^2) = a√2
side length a = 9.8994949366117 in
diagonal q = 14 in
perimeter P = 39.597979746447 in
area A = 98 in^2
Hello, please help me with this math problem!
What is the function rule to describe this sequence:
27, 9, 3, 1, ....
Answer: Substitute in the values of a1=27 a 1 = 27 and r=13 r = 1 3 .
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
i did the math
HELPP PLZ WILL MARK BRAINLIEST AGAIN
Answer:
The fifth and fourth one
Step-by-step explanation:
n the diagram, which pair of angles are corresponding angles?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
Angle 1 and Angle 8
Angle 4 and Angle 6
Angle 3 and Angle 7
Angle 2 and Angle 4
Answer:
3 rd one
Step-by-step explanation:
i am tot sure if it is but i think it is
Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
Examine the diagram. A triangle has angles A, 15 degrees, 80 degrees. The exterior angle to angle A is B. What is the sum of the remote interior angles? ° What is the measure of ∠A? m∠A = ° What is the measure of ∠B? m∠B = °
Answer:
m<A = 30degrees
m<B = 70degrees
Step-by-step explanation:
Find the diagram attached
From the diagram;
m<A + 150 = 180
m<A = 180 - 150
m<A = 30degrees
Also since the sum of angles in a triangle is 180degrees, hence;
m<B+m<A + 80 = 180
m<B+30+80 = 180
m<B+110 = 180
m<B = 180 - 110
m<B = 70degrees
Answer:
C 95
A 85
C 95
Step-by-step explanation:I GOT IT RIGHT TRUST ME
Write an equation for the line, in point slope form given the following information
Slope = 1/4 contains the point (8,-3)
Answer:
y+3=1/4(x-8)
simplified -> y+3=1/4x-2
Step-by-step explanation:
y-y1=m(x-x1)
y-(-3)=1/4(x-8)
y+3=1/4(x-8)
If you want it to be further simplified
y+3=1/4x-2
HELP I WILL GIVE BRAINLIEST AND THANK AND 5 STAR!
Answer:
4. 2
Step-by-step explanation:
Subtitue the value of variable into the equation and simplify 2
Answer:
2 and 16/3 is the answer
Step-by-step explanation:
4.
putting value of n in given expression
20-3.6
20-18
2 answer
5.
putting value of n in given expression
(2/3).6+(2/3).2
4+(4/3)
(12+4)/3
16/3 answer
HELPPP PLSSS ASAP!!!!!!!!!!!!!!!!!!!!1
Answer: 4 2/3
number letter: A
The length of the piece of ribbon = 3 1/2 yards= 7/2 yards
The length of ribbon required to make a bow = 3/4 yards
Now, the number of bows can be made in the given piece of ribbon = 7/2 divided by 3/4
= 7/2*4/3= 14/3 = 4 2/3
Hence, the number of bows can be made in the given piece of ribbon = 4 2/3
What is the value of y? In the coordinate plane below, AABC is similar to ADEF A) 3 B 4 E (-8, 8) -2 D B D 11-2, 2) F(-8, 2) LA (0,0) (40)
Answer:
use the formula y2-y1/x2-x1 in order to find your answer for each coordinate
Step-by-step explanation:
Answer:
ADEF is correct
Step-by-step explanation:
how was ur day
2>10+4n how would you graph this
PLEASE HELP I AM BEGGING YOU!!! I WILL GIVE BRAINLIEST AND EXTRA POINTS PLEASEEEEEEEEEEEEEEEEEE!!!!!!!
Answer:
1. 31
2. -40
3. 28.5
4. 75
5. 6
6. -24
7. -34
8. 68
9. 8
10. 26
Step-by-step explanation:
I tried to do the best I can I hope this helps! :))
Please see attached to answer 1-7.
Please tell me how to do all of them.
What is the value of x?
Answer:
the answer is 4
Step-by-step explanation:
if you cut the ends off you will get you answer
which answer choice represents an expression?
Answer:
The answer is G. The sum of r and 4 minus t
Step-by-step explanation:
It is G because an expression has no equal sign or answer, an equation has an answer.
Based on the data from your previous 10 catches, what is the chance your next catch will be a pink salmon?
As a town gets smaller, the population of its high school decreases by 8% each year. The senior class has 320 students now. In how many years will it have about 100
students? Write an equation. Then solve the equation without graphing.
Answer:
in 13.95 years the senior class will have 100 students.
Step-by-step explanation:
P(h) = p(0.92)^t (equation for exponential change)
P(h) - population of highschool (or senior class) = 100
p - staring amount = 320
t = time in years
100 = 320(0.92)^t
1/3.2 = .92^t (divide both sides by 320)
log(1/3.2, .92) = t (log base 0.92 of 1/3.2 equals t)
13.9497 = t
12 O 44 Madeline, Tyra, and Imogen are helping consolidate leftover pizza slices after a party. Each one of them has a box with leftovers. Madeline says the leftover slices in her box form a 203° angle . Tyra says the leftover slices in her box form a 59 After hearing those descriptions from Madeline and Tyra, Imogen wonders if the leftover slices would all fit into one box (meaning one full circle of 360° or less). It is possible if the angle measure of her leftover slices is no larger than [Drop Down 1]. If each slice has an angle of 40 the maximum amount of slices Imogen can fit is [Drop Down 2]. 1 mron Down 11
Answer:
i. The angle measure of Imogen's leftover should not be larger than [tex]98^{o}[/tex]
ii. The maximum number of slices that Imogen can fit is 2.
Step-by-step explanation:
The leftover in Madeline's box forms angle = 203°
The leftover in Tyra's box forms angel = [tex]59^{o}[/tex]
Sum of angles formed = 203° + [tex]59^{o}[/tex]
= [tex]262^{o}[/tex]
Given that one box = 1 full circle of 360°. Then,
the angle formed by the leftover in Imogen's box = 360° - [tex]262^{o}[/tex]
= [tex]98^{o}[/tex]
Thus, the angle measure of Imogen's leftover slices should not be larger than [tex]98^{o}[/tex].
If each slice has an angle of [tex]40^{o}[/tex], the maximum number of slice that Imogen can fit = [tex]\frac{98}{40}[/tex]
= 2 [tex]\frac{9}{20}[/tex]
= 2.45
The maximum number of slices that Imogen can fit is 2.
What is the value of b for b2 = 36/64
the sum of a number x and 7 is 35
An expression is defined as a set of numbers, variables, and mathematical operations. The value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given the statement that the sum of a number x and 7 is 35. Therefore, the given statement "the sum of a number x and 7 is 35" in the form of an expression can be written as,
x + 7 = 35
Subtract 7 from both the sides of the equation,
x +7 - 7 = 35 - 7
x = 28
Hence, the value of x that will satisfy the given statement "the sum of a number x and 7 is 35" is 28.
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Can some one Pls help!!
What is 10% of 900? *
Answer:
90
Step-by-step explanation:
10%*900=90
Answer:
90
Step-by-step explanation:
10%*900=90
Workout the median of 83,73,76,72,75,86,79,76
Answer:
76
Step-by-step explanation:
Put the numbers in order from least to greatest.
72, 73, 75, 76, 76, 79, 83, 86
Then, cross off each number at each end until you reach the one in the middle. Which, since they are the same, is 76.
You buy a pair of jeans for $32.00. The sales tax is 6%. How much will you have to pay?
Answer:
$33.92 ($1.92 in tax)
Step-by-step explanation:
% values are 1/100ths. 32.00/100=0.32. 0.32(6) = 1.92.
$32.00
+ $1.92
=$33.92 total.
Consider the density curve below.
Find the probability that x is more than 3.
P(x > 3) =
Answer:
60%
Area=1/2 (base)(height)
Area=1/2(2)(0.6)
Area=0.6
0.6=60%
A group of friends were working on a student film that had a budget of $1400. They used $168 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:sup handsome
Step-by-step explanation:
Answer:12%
Step-by-step explanation:
I took the test
If the function f(x) = 4x^2 - x + 3, evaluate f(-2)
Answer: 21
Step-by-step explanation: f(-2) = 4· (-2)²-(-2) + 3 = 4·4 +2 +3
Please everything that I put on this app no one has answered I’m just wasting points now
Answer:
QR=18
Step-by-step explanation:
QR/QO =QS/QP (proportionality theorem...OP||RS )
QR/39 =24/52
52QR = 24(39)
52Q2=936
QR=18
I need help and fast
B it is B not c or a it is b