Please help!!!
Create an equivalent expression for 18^-7 • 18^5
1. -18^2
2. 18^2
3. 1/18^-2
3. 1/18^2
Answers
For an equivalent expression for [tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex] it is option 4 that is correct that means the equivalent expression can be seen as [tex]\frac{1}{18} ^{2}[/tex].
What analogous expressions are there?Expressions that can be considered are equivalent do the same thing even when they have distinct appearances. When we get to enter the same value(s) for the same variable, two algebraic expressions that are equivalent have the same value (s).
Calculating the equivalent expression,
[tex]18^{-7}\\[/tex] * [tex]18^5\\[/tex]
= [tex]18^{-7+5}[/tex]
=[tex]18^{-2}[/tex]
= [tex]\frac{1}{18} ^{2}[/tex]
What is a good example of an equivalent expression?An expression that can be considered equivalent to another phrase but then differs in appearance is the one that has the same value or worth. In algebra, we can say 2(2x – 3y + 6) is equal to 4x -6y + 12 as an example of an equivalent expression.
Which two expressions are interchangeable?When two expressions can be reduced to a single thread expression or when one of the expressions can be written in the same way as the other, they are said to be equivalent. You can also determine whether two expressions are equivalent.
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Related Questions
What is the sum of the first 11 prime numbers?
Answers
Considering the definition of prime numbers, the sum of the first 11 prime numbers is 129.
Definition of prime numbersPrime numbers are those that are only divisible (when divided by another gives an integer) between themselves and 1. That is, prime numbers are those numbers, greater than 1, that only admit themselves and the number as divisors. number 1.
Sum of the first 11 prime numbersThe first 11 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and 31.
So their sum is:
sum= 2 +3 +5 +7 +11 +13 +17 +19 +23 +29
sum= 129
Finally, their sum is 129.
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A. Fill in the diagram with the following information for angle A = 2g -24, for angle (choose a number between 65 and 102). Label the diagram with B angle A and B. (1 point)
B. Solve for g
C.find the measure of angles A,C, and D showing all work
pls help :((
Answers
Answer:
answer is c
Step-by-step explanation:
5x+2=10
2x+5+7x = 8x-11 solve for x
Answers
Answer:
x
Step-by-step explanation:
2x + 5 + 7x = 8x -11 Combine like terms
9x + 5 = 8x -11 Subtract 8x from both sides of the equation
x + 5 = -11 Subtract 5 from both sides of the equation.
x= -16
Answer: -16
Step-by-step explanation:
2x+5+7x = 8x-11 simplifies into 9x+5 = 8x -11.
Move 8x to the other side - put like terms together : 9x-8x+5 = -11
Which is simplified into x+5 = -11
Move 5 to the other side to isolate x: x = -11 -5
Combine -11 and -5
x = -16
us the data set to choose the two measures that are equivlent 4, 5, 6, 7, 8
Answers
The mean and median of the data are equivalent and the value is 6.
The mean (average) of a data set can be calculated by adding up all the numbers in the collection and dividing by the total number of values in the set.
When a data set is sorted from least to greatest, the median is the middle. The value that pops up most frequently in a data set is its mode.Between the lowest and highest value is the range. You subtract the lowest value from the greatest value to calculate it.The exact midpoint between the lowest and highest values in a set of data is the midway value. Finding the middle requires adding the smallest and greatest values together, then dividing the result by two.Let us find the mean of the data set :
mean = (4 + 5 + 6 + 7 + 8) ÷ 5 = 30÷ 5 = 6
Median = 6 middle value.
Therefore the mean and median are equivalent.
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select the correct answer from the drop -down menu . A=[-9,0,3,-1] b= [0,4,-6,2] the order of matrix A+B is ?
Answers
If A=[-9,0,3,-1] b=[0,4,-6,2] , so the order of matrix A+B is 4x1(4 rows and 1 column).
What is matrix ?Matrix, a set of number arranged in rows and column so as to form a rectangular array. The number are called the elements, or entries, of the matrix .
What does the matrix serve as?Both data and mathematical equations can be represented by the numbers in a matrix. Multiplying matrices can provide quick but accurate approximations of considerably more complex calculations in many time-sensitive engineering applications.
The elements of the matrix are nothing but the entries of the matrix.
So according, To the question we are adding matrix A which is 4 rows and 1 column to matrix B which is also of 4 rows and one column obtaining a third matrix that has also 4 rows and 1 column :
[-9,0,3,-1]+[0,4,-6,2]=[-9,4,-3,1]
The resultant A+B is also of 4 rows and 1 column
Hence the order of matrix A+B is 4x1 (4 rows and 1 column)
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HELP PLEASE!!!!
Simplify −4r(−11r + 2r − 14).
−36r^2 + 56r
−36r^2 − 56r
36r^2 + 56
36r^2 + 56r
Answers
Answer:
[tex]36r^2+56r[/tex][tex]36r^2+56r[/tex]
Step-by-step explanation:
First simplify [tex]-4r(-11r+2r-14)[/tex] into [tex]-4r(-9r-14)[/tex] by adding the terms with common variable r together,
then expand into the answer
Answer:
-36r^2 - 56r
Step-by-step explanation:
which two values or x are roots of the polynomial below? x2 - 11x + 13
Answers
The two values or x of roots of the polynomial are
[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]
This is further explained below.
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Generally, the equation for polynomial the is mathematically given as
x^2 - 11x + 13
Therefore
We know that,
[tex]x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}[/tex]
Here,
a=1
b=-11
c=13
Putting the values,
[tex]x=\frac{-(-11) \pm \sqrt{(-11)^2-4 \times 1 \times 13}}{2 \times 1} \\[/tex]
[tex]&=\frac{11 \pm \sqrt{121-52}}{2} \\\\&=\frac{11 \pm \sqrt{69}}{2} \\[/tex]
Therefore
[tex]x=\frac{11+\sqrt{69}}{2}, \frac{11-\sqrt{69}}{2}[/tex]
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(3, 9), (1, 1) write in standard form
Answers
When 12 is subtracted from the square of a number, the result is 4 times the number. Find the negative solution.
Answers
When 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2
Consider the number as x
Square of the number = [tex]x^{2}[/tex]
12 subtracted from the square of a number = [tex]x^{2} -12[/tex]
4 times the number = 4x
Then the equation will be [tex]x^{2} -12=4x[/tex]
Rearrange the terms and it will become a quadratic equation
[tex]x^{2} -4x-12=0[/tex]
Split the middle term and solve the equation
[tex]x^{2} +2x-6x-12=0[/tex]
Take common terms
x(x+2)-6(x+2) = 0
Take common term outside
(x-6)(x+2) = 0
Therefore
x = 6, -2
The negative solution is -2
Hence, when 12 is subtracted from the square of a number and the result is 4 times the number, then the negative solution is -2
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BEING TIMED HElp
Which rectangular equation is formed by eliminating the parameter?
y = t3
x = t + 5
A.y = x3 – 125
B. y = x3 + 125
C. y = x3 – 5x2 + 25x – 125>>>>>> WRONG
D.y = x3 – 15x2 + 75x – 125
Answers
Answer:
its d i got it right
Step-by-step explanation:
Factorización prima de 162
Answers
Explicación:
I am a little confused with this.
Answers
The roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.What are the roots of an equation?The values of the variable that satisfy a quadratic equation are known as its roots.The solutions or zeroes of the quadratic equation are other names for them.The x-coordinates of the x-intercepts of a quadratic function are the roots of the function.Solving quadratic equations refers to the process of locating the roots of quadratic equations.Get roots of equation, 2x² + 26 = 0:
2x² + 26 = 02x² = -26Divide both sides by 2:
x² = -13Finding square roots on both sides:
x = √-13x = √13i²x = ±i√13So, the roots of the equation are x = ±i√13.
There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.A real number is multiplied by the imaginary unit i that is specified by its property i²-1 to create an imaginary number.Therefore, the roots of the given equation are:
x = i√13 and x = - i√13Where, There are 2 roots for this polynomial function because of the need to find + and - of the radicand i√13.To learn more about the roots of an equation, refer to:
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In the diagram below, isosceles triangle ABC is drawn with AB is congruent AC and side BC extended through point D. If
m/ACB=2x+16 and m angle ACD=5x+24, find the measure of angle A.
Answers
Answer:
32°
Step-by-step explanation:
Angle A + angle B = angle ACD
Since it is an isosceles triangle angle a = angel b
2(2x + 16) = 5x +24 distribute the 2
4x + 32 = 5x + 24 Subtract 4x from both sides
32 = x + 24 Subtract 24 from both sides
8 = x
Now plug in 8 for x in 2x + 16
2(8) + 16
16+ 16 = 32
A contractor purchases 3 dozen pairs of padded work gloves for $43.56 incorrectly calculates the unit price as $14.52 per pair for the expense report. What is the correct unit price?What is the error?
Answers
Answer: I think the answer is $1.21
Step-by-step explanation: Instead of 3 pairs it says 3 dozen. A dozen is 12.
3 x 12 = 36
Then you should do 43.56 / 36
For one pair of gloves it should be $1.21
The contractor got $14.52 because he did a dozen (12) divided by 43.56.
I hope that helps! ^^
find the length of the sides indicated round to nearest tenth
Answers
If x+y =8 and x^2+y^2=36 find x-y
Answers
8 (x - y) = 36
x - y = 36 / 8 = 4.5
what is the y value of the kilo
Answers
y value of the kilo
y = (1/1000) x
imagine
x = 20
y = x / 1000
20 / 1000 = 0.020
The range of x values that define the expression is known as the domain. The collection of all legal y values constitutes the range. To determine the range, use the graph.
How are domain and range determined?
The Equation's Domain and Range in order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y)
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5. Below is a model of the infield of a baseballstadium. How long is each side of the infield?oth a perfectquare rootnumbers?A= 81 in.?
Answers
We have that the area of the infield is 81 in2.
This area is a square, which means it has equal sides, and its area is:
[tex]\text{Area}=side^2[/tex]If the area of the square is 81 in2, we have that:
[tex]\begin{gathered} \text{side}^2=81 \\ \text{side}=\sqrt{81} \\ \text{side}=9\text{ in} \end{gathered}[/tex]So the side of the infield is 9 inches.
Each box holds 48 pencils. The chart below shows the number of pencils in 1 box and 5 boxes.
Help ASAP please
Answers
Answer: No, 6 boxes will give you 288 penicils.
Step-by-step explanation: 1 box is 48 penicils, so if use this to the other boxes (4x48) we get 192. Now with six boxes (6x48) we get 288.
Latisha has $40 in her checking account. She makes a withdrawal of $20 and then writes a check for $40. Then she deposits $30. Use the number line and complete the equation to find her final balance.
Answers
The final balance that will be in the account of Latisha is $10.
What is a checking account?A checking account simply means the account that makes use of a check. It is usually used by business owners.
From the information, Latisha has $40 in her checking account, she makes a withdrawal of $20 and then writes a check for $40 and then she deposits $30.
The appropriate operations to find the balance will be:
= 40 - 20 - 40 + 30
= 10
She will have $10 left. Note that a withdrawal is subtraction.
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Given the equation k over 22.8 equals 6.9, determine the value of k.
3.30
15.9
29.7
157.32
Answers
The value of k in the equation, k over 22.8 equals 6.9, is 157.32.
What is the value of k?The given equation is:
k / 22.8 = 6.9
In order to determine the value of k, multiply both sides of the equation by 22.8.
Multiplication is one of the basic mathematical operation. It is the operation that is used to determine the product of two or more numbers by adding a number with another number repeatedly over a number of times. The sign that represents multiplication is ×.
(k / 22.8) x 22.8 = 6.9 x 22.8
k = 157.32.
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PLEASE HELP ME
ALL YOU NEED TO DO IS FIND WHERE THE ERROR WAS MADE AND WHAT WAS THE ERROR
Answers
Write the equation for a parallel to Y=3/2x+5 that contains point (0,-2)
Answers
Answer:
Step-by-step explanation:
-2=3/2(0)+5
If the vertical component of velocity for a projectile is 7.3 meters/second, find its hang time. a. 1.5 seconds b. 2.5 seconds c. 5.6 seconds d. 6.7 seconds e. 7.1 seconds
Answers
The hang time is calculated to be a. 1.5 seconds if the vertical component of velocity for the projectile is 7.3 meters/second.
The formula for the height of the projectile can be used to calculate the hang time as follows;
h = ut - 0.5at²
here;
h is the height of the projectile
u is the velocity = 7.3 m/s
a is the acceleration due to gravity
The standard value of acceleration due to gravity is equal to 9.81 m/s²
The height will be zero both the times when t=0 and when the journey has been completed
Now adding these values to the formula;
h = ut - 0.5at²
0 = 7.3t - 0.5(9.81)t²
Solving for t;
4.905t² = 7.3t
4.905t² / t = 7.3
4.905t = 7.3
t = 7.3 / 4.905
t = 1.49 ≈ 1.5
Therefore; the hang time is calculated to be 1.5 seconds.
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I no longer need this to be answered
Answers
Answer:
oh ok hope you got the answer
Step-by-step explanation:
Determine if 0.68
0.68 is rational or irrational and give a reason for your answer.
choices for explanation-
it is a decimal that repeats
it is the square root of a non perfect square
it is the square root of a perfect square
it is a decimal that does not repeat or terminate
it is a decimal that terminates
(urgent pls help)
Answers
0.68 is a rational number and the reason is because:
It is a decimal that terminatesWhy is 0.68 a rational number?0.68 can be regarded as a rational number because it is a finite number that is also a fraction of two whole integers. In this case, the integers are 68 and 10. Another feature by which rational numbers are known is the fact that they are repeating in nature.
However, it is important to note that the decimal here is terminating in nature because it has a finite number of zeros behind the number 8. So, the reason for selecting 0.68 as a rational number is that it terminates.
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Translate this phrase into an algebraic expression.
Nine less than the product of 18 and Jose's age
Use the variable j to represent Jose's age.
Answers
Answer:
J(18)-9
Step-by-step explanation:
j times 18 minus 9
what is the area of a rectangle wxyz with vertces w(0,1), x(3,4), y(-1,8), z(-4,5)
Answers
Answer: I think 43
Step-by-step explanation:
Draw on a graph out the points and then add up the middle of your shape.
Your welcome!
Sorry for all the questions i'm askin i'm a slow learner so thank you guys for ya help!
50 points will b giving
Answers
Answer:
D. [tex]\sqrt{27}[/tex]
Step-by-step explanation:
A, B, and C are all perfect squares being square rooted. This means that they will all result in whole numbers.
For example: A. [tex]\sqrt{9}=3[/tex]
However, D. [tex]\sqrt{27}=3\sqrt{3}[/tex], which is not rational because it contains an unsimplifiable square root (sqrt 3)
Answer:
√27
Step-by-step explanation:
√9 = 3
√81 = 9
√36 = 6
√27 = not whole number
Find 3 decimals x such that : 4.1 < x < 4.2
Answers
Answer:
There are many numbers, but here are three
4.11, 4.12, 4.13
Step-by-step explanation: