The rule you use is x^(-k) = 1/(x^k)
In this case x = 3 and k = 2, so,
3^(-2) = 1/(3^2) = 1/9
--------------------------------------------
One way to think of it, is to consider the equation below
3^2*3^x = 1
We can solve for x like this
3^2*3^x = 1
3^(2+x) = 1
3^(2+x) = 3^0
2+x = 0 .... the bases are equal, so the exponents must be equal
x = -2
meaning that
3^2*3^x = 1
updates to
3^2*3^(-2) = 1
Now isolate the 3^(-2)
3^2*3^(-2) = 1
3^(-2) = 1/(3^2)
3^(-2) = 1/9
2 + 1/3t = 1 + 1/4t
Please help me
Answer:
r =-12Step-by-step explanation:
[tex]2 + 1/3t = 1 + 1/4t\\\\2+\frac{1}{3}t=1+\frac{1}{4}t\\\\\mathrm{Subtract\:}2\mathrm{\:from\:both\:sides}\\2+\frac{1}{3}t-2=1+\frac{1}{4}t-2\\\\Simplify\\\frac{1}{3}t=\frac{1}{4}t-1\\\\\mathrm{Subtract\:}\frac{1}{4}t\mathrm{\:from\:both\:sides}\\\frac{1}{3}t-\frac{1}{4}t=\frac{1}{4}t-1-\frac{1}{4}t\\\\Simplify\\\frac{1}{12}t=-1\\\\\mathrm{Multiply\:both\:sides\:by\:}12\\12\times\frac{1}{12}t=12\left(-1\right)\\\\\\Simplify\\r =-12[/tex]
help please i don’t know which one it is
Answer:
D
Step-by-step explanation:
The formula matches up with the sequence. If you want to find f2 you look to f1 which is 8. Then you subtract by 2. This means to get f1, f0 would have to be 10 because 10-2 is 8.
An lift holds no more than 1200 pounds if you are rolling a cart that weighs 760 pounds how much more can the elevator hold?
Answer: 440
1200 - 760 = 440
Answer: 440 pounds
Step-by-step explanation:
Solve equation
t + (-8) + 13 = 43
Answer:
T=38
Step-by-step explanation:
t−8+13=43
Step 1: Simplify both sides of the equation.
t−8+13=43
t+−8+13=43
(t)+(−8+13)=43(Combine Like Terms)
t+5=43
t+5=43
Step 2: Subtract 5 from both sides.
t+5−5=43−5
t=38
Answer:
t= 38
Step-by-step explanation:
t+(-8)+13=43
t-8+13=43
t=43-13+8
t=30+8
t=38
PLS HELP ............................
Answer:
The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8 ⇒ B
Step-by-step explanation:
The slope-intercept form of the linear equation is:
y = m x + b, where
m is the slopeb is the y-interceptFrom the given in the question
∵ The slope of the line is [tex]-\frac{3}{4}[/tex]
∴ m = [tex]-\frac{3}{4}[/tex]
→ Substitute its value in the form of the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + b
→ To find b substitute x and y by the coordinates of any point on the line
∵ The line passes through the point (8, 2)
∴ x = 8 and y = 2
∵ 2 = [tex]-\frac{3}{4}[/tex] (8) + b
∴ 2 = -6 + b
→ Add 6 to both sides to find b
∴ 2 + 6 = -6 + 6 + b
∴ 8 = b
→ Substitute the value of b in the equation above
∴ y = [tex]-\frac{3}{4}[/tex] x + 8
∴ The slope-intercept form is y = [tex]-\frac{3}{4}[/tex] x + 8
A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?
With work quickly please!!
Answer:
2ft
Step-by-step explanation:
-36 + |(-6) + (-31 - 12 + (-4)
Answer:
i don't know if you can make it to the thor or long or short and I can do it again soon and piece you up a little more about the finale of the final.
Answer:
-89
Step-by-step explanation:
Which set of ordered pairs is a function?
{(1,3).(2,4),(3,5),(4,3)}
{(1,3),(1,4),(1,5),(1,3)}
{(2,5),(2,4).(3.4).(4.3)}
{(1,3).(2,8).(3.-6),(1,3)}
If one penny, two dimes, and one quarter are added to the bag, what is the new probability that Marissa will draw a nickel? Write your answer as a fraction, as a decimal, and as a percent.
Answer:
As a fraction it's ¼, as a decimal it's 0.25 and as a percentage it's 25%
what is 9/20 - 1/4 in the simplest from
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
9/20-1/4=1/5
What is 6 divided by 20.
DO NOT give me: the answer is 3.33333333 >:(
(thanks)
Answer:
3.3333 your welcome :)
jk 10/3, 3 1/3
The fraction 6/20 can also be simplified to 3/10, which is the same as 0.3 in decimal form.
To calculate 6 divided by 20, you simply perform the division operation. Divide the numerator (6) by the denominator (20):
6 ÷ 20 = 0.3
The result of 6 divided by 20 is 0.3. This means that if you divide 6 into 20 equal parts, each part will be 0.3.
In decimal form, the fraction 6/20 is equivalent to 0.3. Decimal notation is useful when dealing with fractions that don't easily simplify into whole numbers. In this case, the division results in a decimal less than 1, representing a fraction that is less than a whole. The fraction 6/20 can also be simplified to 3/10, which is the same as 0.3 in decimal form.
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6.
-6 + m = 3.6
ASAP NEED HELP PLS
Answer:
2.4 is the answer
Step-by-step explanation:
plz help. pl and thank u
Answer: sorry i cant read it its to small
Step-by-step explanation:
Answer:
0,2
Step-by-step explanation:
also pls try to answer my question have to finish this
Students in the sophomore class were asked whether they preferred vanilla or chocolate
Ice Cream
Frequency
Vanilla
50
Chocolate
30
6. What is the relative frequency of sophomores chose chocolate?
7. What is a probability distribution for this data?:
HELP PLZ MATH dasfhadfsbahkfa
What is the significance of a correlation coefficient of -0.97?
A. The points all lie very close to the line of fit, and the
line is decreasing.
B. The points all lie very close to the line of fit, and the
line is increasing.
C. The points do not follow the line of fit and, the line is
decreasing.
D. The points do not follow the line of fit, and the line is
increasing.
Answer:
It's A. The points all lie very close to the line of fit, and the line is decreasing.
Step-by-step explanation:
The points all lie very close to the line of fit, and the line is decreasing option (A) is correct.
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
It is given that:
The value of the correlation coefficient r = -0.97
As we know,
If the value of the correlation coefficient is positive it represents the line of best-fit increasing.
If the value of the correlation coefficient is negative it represents the line of best fit decreasing.
If the value of r is close to 1 then we can say that the correlation between the two variables is very strong.
Thus, the points all lie very close to the line of fit, and the line is decreasing option (A) is correct.
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PLZ HELP ASAP!!!
Select the correct answer.
What is a disadvantage of using a multimedia presentation?
A.
It does not allow audience interaction.
B.
It requires special hardware, such as a computer and speakers.
C.
Viewers have no control over the sequence of the presentation.
D.
It cannot reach a large au
Answer:
B:(It requires special hardware, such as a computer and speakers.)
This is the correct answer! Setting up the hardware and software often takes a long time and delays the start of the presentation
Step-by-step explanation:
brainliest would be appreciated
NEED YOUR HELP ASAP!!
Answer:
$1.67
Step-by-step explanation:
To find out the price per pound, you need to find the unit price.
15/9 = $1.67/1
Simply divide both numbers by 9.
Help please? Does anyone understand this?
Answer:
15
Step-by-step explanation:
TU is parallel to IJ. So ∠I and ∠T are corresponding angles, and ∠U and ∠J are corresponding angles.
By AA similarity, ΔHTU and ΔHIJ are similar.
Write a proportion:
HT / HI = HU / HJ
Plug in values:
4 / 10 = x / (x + 9)
Cross multiply:
4 (x + 9) = 10x
4x + 36 = 10x
36 = 6x
x = 6
So HU = 6, and HJ = 6 + 9 = 15.
I am thinking of a number. Add seven to the number and then multiply
it by two. The answer is sixteen. What is my number?(it’s a riddle)
Answer:
1
Step-by-step explanation:
7+1
=8
8*2
=16
In the diagram below, find the value of y....
Answer:
y = 130
Step-by-step explanation:
(4x+8) + (3x-19) + (x+7) = 180
4x + 8 + 3x - 19 + x + 7 = 180
(4x + 3x + x) + (8 -19 + 7) = 180
8x - 4 = 180
8x -4 +4 = 180 +4
8x = 184
8x/8 = 184/8
x = 23
3(23) - 19 = 50
50 + y = 180
180 - 50 = y
y = 130
Amarosa runs 3/4 mile everyday. How many miles does she run in 5 days?
Answer:
3.75 or 3 3/4
Step-by-step explanation:
(3/4) times 5 equals 3.75
What is the distance of the line?
Remember the distance formula is (23 - 23) + (42 -
Answer:
The distance of the line is 10.82
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The graph clearly shows the points (-5,4) (4,-2), thus the distance is:
[tex]d=\sqrt{(4-(-5))^2+(-2-4)^2}=\sqrt{9^2+(-6)^2}[/tex]
[tex]d=\sqrt{81+36}=\sqrt{117}=10.82[/tex]
The distance of the line is 10.82
easy please help 8th grade math
Answer:
x ≥ 0
Step-by-step explanation:
hope that helps
Susanna purchased a shirt for $5 pants for $10 and a jacket for $25 she wants to buy at least one purse for the outfit but she wants to have something left of her original $65 how much money might she spend on the purse?
Answer:
Spends $20 and she has $5 leftover.
Step-by-step explanation:
Kayla pays $13.95 for a haircut. She wants to leave a 15% tip. What is the total amount she will spend?
Answer:
16.0425
Step-by-step
%15 tips= 2.0925
Which of the following has 14.705 in written form?
OA) fourteen and seven hundred five thousands
O B) fourteen and seven hundred five hundredths
O C) fourteen and seven hundred five thousandths
OD) none of the above
Answer:
b
Step-by-step explanation:
Answer:
answer choice b
Step-by-step explanation:
hope it helps!!
Which math PROPERTY is this? If 12 = 17 - 5, then 17 - 5 = 12
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
Tip: The symmetric property of equality states that no matter what side the equations and answer are it will still be equal, but it only works for the equal sign.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
What is Number system?A number system is defined as a system of writing to express numbers.
Given that 12 = 17 - 5, then 17 - 5 = 12
we need to check which property will be used.
The math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
The symmetric property of equality is really quite simple. This property states that if a = b, then b = a. That is, we can interchange the sides of an equation, and the equation is still a true statement.
Hence, the math property for 12=17-5 then 17-5=12 would be the symmetric property of equality.
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Omar is putting 5 liters of water in two goldfish bowls. He spills 200 milliliters of water and divides the remaining water evenly into two bowls? A) How many liters of water was spilt? B) How many milliliters of water was remaining? C) How many milliliters of water does Omar pour in each bowl?
Answer:
a) 0.2 L
b) 4800 ml
c) 2400 ml
Step-by-step explanation:
Total volume of water = 5 litres
Since 1000 milliliters make 1 L
5L = 5000 ml
a) litres of water spilt = 200/1000 = 0.2 L
b) milliliters of water remaining = 5000 - 200 = 4800 ml
c) since it was expressly stated in the question that the remaining water was divided evenly; 4800/2 = 2400 ml in each bowl
Is 0.2x = 100- 0.4/y linear or non linear function?
so i will not give you the answer i will teach you how to do it.
In Mathematics, you must have learned about different types of equations. Here, we are going to discuss the difference between linear and nonlinear equations. The difference between them described here with the help of definitions and examples.
We come across a lot of equations while solving maths problems. Some equations include only numbers and some consist of only variables and some consists of both numbers and variables. Linear and nonlinear equations usually consist of numbers and variables.
Definition of Linear and Non-Linear Equation
Linear means something related to a line. All the linear equations are used to construct a line. A non-linear equation is such which does not form a straight line. It looks like a curve in a graph and has a variable slope value.
The major difference between linear and nonlinear equations is given here for the students to understand it in a more natural way. The differences are provided in a tabular form with examples.
What is the difference between Linear and Nonlinear Equations?
To find the difference between the two equations, i.e. linear and nonlinear, one should know the definitions for them. So, let us define and see the difference between them.
Linear Equations
Non-Linear Equations
It forms a straight line or represents the equation for the straight line It does not form a straight line but forms a curve.
It has only one degree. Or we can also define it as an equation having the maximum degree 1. A nonlinear equation has the degree as 2 or more than 2, but not less than 2.
All these equations form a straight line in XY plane. These lines can be extended to any direction but in a straight form. It forms a curve and if we increase the value of the degree, the curvature of the graph increases.
The general representation of linear equation is;
y = mx +c
Where x and y are the variables, m is the slope of the line and c is a constant value.
The general representation of nonlinear equations is;
ax2 + by2 = c
Where x and y are the variables and a,b and c are the constant values
Examples:
10x = 1
9y + x + 2 = 0
4y = 3x
99x + 12 = 23 and
Examples:
x2+y2 = 1
x2 + 12xy + y2 = 0
x2+x+2 = 25
Note:
The linear equation has only one variable usually and if any equation has two variables in it, then the equation is defined as a Linear equation in two variables. For example, 5x + 2 = 1 is Linear equation in one variable. But 5x + 2y = 1 is a Linear equation in two variables.
Let us see some examples based on these concepts.
Solved Examples
Example: Solve the linear equation 3x+9 = 2x + 18.
Solution: Given, 3x+9 = 2x + 18
⇒ 3x - 2x = 18 - 9
⇒ x = 9
Example: Solve the nonlinear equation x+2y = 1 and x = y.
Solution: Given, x+2y = 1
x = y
By putting the value of x in the first equation we get,
⇒ y + 2y = 1
⇒ 3y = 1
⇒ y = ⅓
∴ x = y = ⅓
What is the key difference between non-linear and linear equations?
A linear equation is used to represent a straight line in a graph, whereas non-linear equations are used to represent curves.
How does the graph of linear and non-linear equations look?
A linear equation graph is a constant slope whereas the graph of the non-linear equation shows the variation in slope at different points.
How is the linear equation represented? Give an example.
The general representation of linear equation is y = mx+c,
where m = slope of the line
x and y are the variables
c is the intercept (constant value)
Example: 2x+y=1
y=-2x+1
How is the nonlinear equation formed?
A non-linear equation is generally given by ax2+by2 = c
where x and y are variables
a,b and c are constant values.