The expression which is equivalent to the provided expression of variable x is,
[tex]\dfrac{1}{1000x^3}[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expression in the problem is,
[tex](10x)-3[/tex]
Let the equivalent expression of this expression is f(x). Thus,
[tex]f(x)=(10x)^{-3}[/tex]
The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,
[tex]f(x)=\dfrac{1}{(10x)^{3}}[/tex]
Solve it further as,
[tex]f(x)=\dfrac{1}{(10)^3(x)^{3}}\\f(x)=\dfrac{1}{1000x^3}[/tex]
Hence, the expression which is equivalent to the provided expression of variable x is,
[tex]\dfrac{1}{1000x^3}[/tex]
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Answer: C
Step-by-step explanation:
Find the value of the variable in each figure. explain your reasoning
Find the X and Y values
3x - 63i = 6 + 7yi
Answer:
x=2
y=-9
Step-by-step explanation:
divide swap the sides
3x=6
-63+7y
divide both sides by 7
x=2
7y=-63
Answer:
x − intercept = (-2,0)
y−intercept = (0,6)
Step-by-step explanation:
(0,-2) reflected over x axis
Answer:
(0,2)
Step-by-step explanation:
plot the point and reflect it over the x axis
Javier wants to invest $3,000 in a mutual fund. He finds an international
fund that earns 6% per year. The following function equation represents
the account balance for Javier's mutual fund over time:
f(t)=3,000 (1. 06'
A) Complete the table of values. Make sure all cells are filled in correctly. Use the
given independent variable values. Round all dependent values to the nearest
tenth
The table of values are
Number of years Account balance
1 $3180
2 $3370.80
5 $4014.68
20 $9621.41
What is the account balance?The formula for calculating future value of the account balance is:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rateN = number of yearsBalance after 1 year = 3000(1.06) = $3180
Balance after 2 year = 3000(1.06^2) = $3370.80
Balance after 5 year = 3000(1.06^5) = $4014.68
Balance after 20 year = 3000(1.06^20) = $9621.41
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What is the solution for x2-18x <-77?
Ox<-11 or x>7
Ox<-7 or x> 11
0-11
07
The solution of the inequality, x² - 18x ≤ -77, when factorized is: 7 ≤ x ≤11
What is the Solution of an Inequality?The solution to an inequatlity is the value of the variable that makes the inequality true.
Given the following:
x² - 18x ≤ -77
Solve as shown below:
x² - 18x + 77 ≤ 0
Factorize
7 ≤ x ≤11
Therefore, the solution of the inequality, x² - 18x ≤ -77, when factorized is: 7 ≤ x ≤11
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how can the Motion of an object to be represented?
Answer:
Motion can be represented by a position-time graph
Step-by-step explanation:
What is the value of the expression z2+3z-3 when z=6?
Answer:
51
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
z² + 3z - 3
z = 6
Step 2: Substitute and Evaluate
6² + 3(6) - 3
36 + 18 - 3
36 + 15
51
The vertex of a quadratic equation is given at (−2, 1), and the quadratic is concave up. How can the range and domain be described?
Question options:
Domain: [1, ∞)
Range: (−∞, ∞)
Domain: (−∞, ∞)
Range: [1, ∞)
Domain: [−2, ∞)
Range: (−∞, ∞)
Domain: (−∞, ∞)
Range: [−2, ∞)
Supply the missing numbers in the following sequences 4, 9, 14, _____, 24, 29, _____
Answer:
4,9,14,19,24,29,34
that the exact number
The area of Figure ABCDE is ______ square units. (Input whole number only.)
Numerical Answers Expected!
Answer:
well my friend I think it's 25-24. but I would go with 25 first
Step-by-step explanation:
because I searched my it up.
Sandro y Ezequiel son hermanos y el producto de sus edades es igual a
la edad de su padre. Sandro es 8 años menor que Ezequiel y la suma de
su edad y la de su padre es igual a 36. ¿Qué edad tiene Ezequiel?
Usando un sistema de ecuáciones, hay que Ezequiel tiene 11 años.
¿Qué es un sistema de ecuaciones?Un sistema de ecuaciones es cuando dos o más variables están relacionadas y las ecuaciones se construyen para encontrar los valores de cada variable.
En este problema, las variables son:
x: La edad de Sandro.y: La edad de Ezequiel.z: La idad de su padre.Sandro y Ezequiel son hermanos y el producto de sus edades es igual a la edad de su padre, o sea:
xy = z
Sandro es 8 años menor que Ezequiel, o sea:
x = y - 8.
La suma de su edad y la de su padre es igual a 36, o sea:
x + z = 36.
z = 36 - x
z = 44 - y
En el primer ecuácion:
xy = z
(y - 8)y = 44 - y
y² - 7y - 44 = 0
(y - 11)(y + 4) = 0
y - 11 = 0 -> y = 11.
Ezequiel tiene 11 años.
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Please help! I will mark Brainliest and 25+ pts.!
Delilah is d years old. Write an expression showing how old she will be in four years from now?
Answer:
d + (4)
Step-by-step explanation:
Please Answer Number 1
Answer:
45
Step-by-step explanation:
because if you try to find the area of a Parallelogram then it would be base times height or BH and the base is 9 and the height is 5 so the area would be 9x5=45
whoever answers first i will give brainlist tp :p
Part A: 50/100+3/100=x/100
Part B: Emma mistook 50/100 for 5/100 when she added it to 3/100. The correct sum would be 53/100
Answer:
Problem A:
5/10 + 3/100 = ?
Example:
Jake bought a cake. On Monday he ate 5/10 of the cake, he then put it in the fridge to store for later. On Wednesday Jake was looking through the fridge for a snack when he came across his leftover cake. His stomach was a bit small though so he only ate 3/100 of his cake. If Jake wants to finish the cake on Friday how much of the cake does he have to eat?
Problem B:
Emma added the value of 3/100 to 5/100 which is incorrect. The first graph is 5/10 or 1/2. The true value would be; 5/10 + 3/100 = 53/100. In conclusion, your answer would be 53/100 for problem B.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
need some help with the question in the image
PLEASE HELP DUE IN 10 MINS!!
Which of the following statements describes the solution set of -5x < 10?
All real numbers that are negative two or less.
All real numbers that are greater than negative two.
All real numbers that are negative two or greater.
All real numbers that are less than negative two.
Answer:
Its B
Step-by-step explanation:
The correct statement is "All real numbers that are greater than negative two".
What is inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
Given an inequality, -5x<10
On solving, we get,
x > -2
Which is saying that, solution is all real number that is greater than -2.
Hence, All real numbers that are greater than negative two.
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#SPJ2
yvette uses 6 grams of tea leaves to make 24 fluid ounces of tea.last week she made 288 fluid ounces of tea.how many grams of tea leaves did yvette use to make tea last week.
Answer:
72 grams of tea leaves
Step-by-step explanation:
Step 1:
6/24 = x/288 Equation
Step 2:
24x = 1728 Multiply
Step 3:
x = 1728 ÷ 24 Divide
Answer:
x = 72
Hope This Helps :)
Which two are correct? Please help me out with this
Answer:
I think
Step-by-step explanation:
D and E are right.
==================================================
Explanation:
The domain is the set of all real numbers because we can replace x with any real number we want to get some y output. There isn't any restriction on x. We don't have to worry about dividing by zero for instance. This is why choice A is one of the answers.
The range is restricted however. The largest value we can make in the range is y = 0. The graph of y = -4x^2 shows a parabola that opens upside down. The highest point is at (0,0). So that's why choice D is the other answer.
---------------------------
Extra info:
Choice B is false because we can get outputs like y = -3, y = -2, y = -1, or y = 0.Choice C is false. A parabola has one half increasing, and the other half decreasing.Choice E is false since there is only one x intercept and it happens at (0,0) in this case. This is also the location of the y intercept as well. See the graph below.Morgan missed 24 questions on her multiple choice math final that had a total of 200 problems. What percentage of questions did Morgan answer correctly?
Answer:
88%
Step-by-step explanation:
You start out by finding the number of questions she got correct
200 - 24 = 176 questions answered correctly
You then want to divide the number of question she answered correctly by the total number of questions there are.
176/200 or 176 ÷ 200 = 0.88
0.88 = 88/100 = 88%
I hope this helps!
Help pls
19. The admission rates at an amusement park are as follows.
Children 5 years old and under: free
Children between 5 years and 12 years, inclusive: $10.00
Children between 12 years and 18 years, inclusive: $25.00
Adults: $35.00
Write a piecewise function that gives the admission price for a given age.
5 year olds and younger, 0c
5years to 12 years, 10c
12 to 18 years, 25c
Adules 35, 35c
C is for the amount of people
i need help on 13 (btw I answered the answer your probably gonna give me, I think it's just a glitch in the system(
Answer:
3002.69601 pounds
Step-by-step explanation:
hope it helps!!!
Which of the four triangles was formed by a translation of triangle POR?
A
B
C
D
Answer:
A
Step-by-step explanation:
yes
pls help meeeeee
what is 9+10
Answer:
19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
lol if u want the actual answer its 19
Four friends are playing carnival games that require tokens. Each of the four friends buys 64 tokens. Express the number of tokens bought by one of the friends in exponential form with a base of 4. Using your answer from part 1, write an exponential expression that can be used to find the total number of tokens bought by all four friends. Solve the expression in part 2, leaving your answer in exponential form. Show your work.
Answer:
[tex]4^{4}[/tex]
Step-by-step explanation:
4 * 64 = 256
[tex]4^{4}[/tex] = 256
It has a base of 4, and the exponent went solved, is 256.
16+ n/4 =22
Help me solve please and thank you :))
Answer:
n = 24
Step-by-step explanation:
16+ n/4 =22
Subtract 16 from each side
16-16+ n/4 =22-16
n/4 = 6
Multiply each side by 4
n/4*4 = 6*4
n = 24
Which pair of expressions are equivalent?
Answer:
The bottom 2 expressions are equivalent
What are the values of a 1 and r of the geometric series? 1 3 9 27 81 a 1 = 1 and r = one-third a 1 = one-third and r = 1 a 1 = 1 and r = 3 a 1 = 3 and r = 1.
Answer:
a₁ = 1
r = 3
Step-by-step explanation:
Since it’s a geometric series then
a₁ = 1 ( because 1 is the first term of the series)
3/1 = 9/3 = 27/9 = 81/27 = 3 then r=3.
Step-by-step explanation:
A rectangle has an area of 36 square units.
Which of the following could NOT be the
dimensions of the rectangle?
a) 4 inches by 8 inches
b) 2 inches by 18 inches
c) 3 inches by 12 inches
d) 9 inches by 4 inches
Answer:
9 inches and 4 inches
Answer:
Option A
Step-by-step explanation:
Given the following question:
[tex]A=w\times h[/tex]
To find the answer we substitute the values of each option in till we find the answer that doesn't equal 36 square units, since the question already gives us the area of the rectangle.
Option A:
[tex]A=w\times h[/tex]
[tex]A=4\times8[/tex]
[tex]4\times8=32[/tex]
[tex]=32[/tex]
[tex]32 > 36[/tex]
Your answer is option A or "4 inches by 8 inches."
Hope this helps.
what part of the equation g(x)=1-x^2 says that it will be open downward
Answer:
coefficient of x²
Step-by-step explanation:
Co-efficient of x² says if the parabola is open upward or downward.
If the coefficient of x² is positive, the parabola is open upward.
If the coefficient of x² is negative, the parabola is open downward.
Complete the table to show the steps for combining like terms.
The simplified form of the expression is 8.3y + 3.1
Equations and expressionsGiven the following equations
(8-0.2+0.5)y + (2.2+1.3 - 0.4)
First is to Reorder the expression to have:
(8+0.5-0.2)y + (2.2+1.3 - 0.4)
Group the resulting expression
[8.5-0.2]y + (3.5 - 0.4)
Simplify the result
8.3y + 3.1
Hence the simplified form of the expression is 8.3y + 3.1
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