The equation that justifies ten to the one third power equals the cube root of ten is ten to the one third power all raised to the third power equals ten to the one third times three power equals ten. Option B
How to justify the powerwe are to find [tex]10^{\frac{1}{3} } = \sqrt[3]{10}[/tex]
The justification has to be done with the use of the properties of powers as well as roots.
[tex]a^\frac{m}{n} = \sqrt[n]{a^m}[/tex]
then we would have:
[tex]\sqrt[3]{10} = \sqrt[3]{10^1} =10^\frac{1}{3}[/tex]
then we would have
[tex](10^\frac{1}{3} )^3\\\\= 10^\frac{3}{3}[/tex]
= 10
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what is the first step to solve the system using substitution?
2y+x=4 3y=2x+6
A. Isolate a variable in one of the equations
B. Set one of the equations equal to zero
Answer:
A.
Step-by-step explanation:
just put it i swear it will help lollllll
The graph below represents the linear equation y = 1/2x - 3.
A second linear equation is represented by the data in the table.
x | y
-1 | 1
0 | 0
2 | -2
3 | -3
What is the solution to the system of equations?
A) (-2, -4)
B) (1, -1)
C) (2, -2)
D) (4, -4)
Answer:
(2,-2)
Step-by-step explanation:
The answer is the intercept point of both lines, so we need to find the point when both the line touches, with out graphing we can see by the table that point (2, -2) intercepts with the line on the graph.
hope this helps :)
Answer:
C) (2, -2)--------------------------
From the table we see each y-coordinate is the negative of the corresponding x-coordinate. It gives us the second line:
y = - xThe first line is given y = 1/2x - 3, equate both to get:
- x = 1/2x - 3-2x = x - 6x + 2x = 63x = 6x = 2Then the value of y:
y = - x = - 2The solution is (2, - 2).
• Jason runs 8 miles in an hour and bikes 12 miles in an hour.
. This week, he runs a total of 3 hours and bikes a total of 6 hours.
When is it best to solve a system of equations using substitution?
Answer:
It is best to solve a system of equations using substitution when one of the equations isolates one of the variables, or when the coefficient of one of the variables is 1 or -1.
Step-by-step explanation:
This makes it easier to substitute one variable for the other, allowing you to solve for the remaining variable. It is also a good idea to check the solution back in the original equations just to make sure it is a valid solution
Answer:
Answer Below
Step-by-step explanation:
It is best to use substitution if one of the variables is isolated or has a coefficient of 1 or -1.
Please help will mark Brainly
Answer:
which of the following is not a true statement 4/6 equals 8/12 2/3 equals 10/15 2/10 equals 3/15 3/4 equal 6/9
Step-by-step explanation:
PLSS I NEED THIS! Number 4
Answer:
(b) y < x-1; y ≤ -2x+2
Step-by-step explanation:
You want to know the inequalities represented on the graph showing a solid line with negative slope and a y-intercept of 2, and a dashed line with positive slope and a y-intercept of -1, where the shading is below both lines.
Line typeIf the line is included in the solution set (≤ or ≥ is used), the boundary line is graphed as a solid line. If the line is not included in the solution set (< or > is used), the boundary line is graphed as a dashed line.
Here, the line with positive slope is dashed, and the line with negative slope is solid.
y = x -1 . . . . is a line with positive slope
y = -2x +2 . . . . a line with negative slope
ShadingThe shading is below the line for y-values less than those on the line:
y < x -1 . . . . shading below a dashed line with positive slope
y ≤ -2x +2 . . . . shading below a solid line with negative slope
These are the inequalities of interest.
A club plans to sell tote bags. The club members estimate they will sell 100 tote bags when the bags are priced at $11 each. For every price increase of $1, they estimate they will sell 10 fewer bags. What is the estimated revenue, in dollars, when the bags are priced at $13 each?
Answer: The club members estimate that they will sell 100 tote bags when the price is $11 each, and for every price increase of $1, they estimate they will sell 10 fewer bags. If the price increases to $13, then this is a $2 increase from the original price, so we can calculate the number of fewer bags they estimate they will sell:
10 fewer bags per $1 increase * $2 increase = 20 fewer bags
To find the number of bags they estimate they will sell when the price is $13, we can subtract this decrease from the original number of bags they estimate they will sell:
100 bags - 20 fewer bags = 80 bags
To find the revenue in dollars, we can multiply the number of bags they estimate they will sell by the price of the bags:
80 bags * $13 per bag = $1040
So the estimated revenue when the bags are priced at $13 each is $1040
Step-by-step explanation:
Help me solve solution to the system of equations.
Answer:
[tex](\frac{5}{3} ;\frac{4}{3} ).[/tex]
Step-by-step explanation:
[tex]\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.[/tex]
A system of equations is graphed on the coordinate plane.
y=−x+5
y=2x−1
What is the solution to the system of equations? Enter the coordinates of the solution
The solution to the system of equation shown in the graph is (2, 3)
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
Given the equation:
y=−x+5 (1)
y=2x−1 (2)
Solving by elimination method. Subtract equation 2 from 1:
0 = -3x + 6
x = 2
Put x = 2 in eqn 1:
y = -(2) + 5 = 3
The solution is (2, 3)
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Show that 113 +112 = 225, using at least three daily life examples.
Answer:hope this helps!
1. Step-by-step explanation:
there is a blanket costing 112
and a chair costing 113
after going to the register you find that the total is
225
2. Step-by-step explanation:
there is a printer costing 112
and a laptop costing 113
after going to the register you find that the total is
225
3. Step-by-step explanation:
there is a pillow costing 112
and some makeup costing 113
after going to the register you find that the total is
225
hope this helps i was in a rush so sorry if it was bad
Please help will mark Brainly
Answer: 12
Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).
To order tickets online to a hockey game
Answer:
I'm not quite sure what the question is here but in order to buy tickets to a hockey game, you can type the hockey team or game into the web browser and select their website then select the time and dates you'd like to see the game
Hope this helps!
An architect is designing a circular window to be installed in the
gable of a house. The metal window frame will be 1 foot wide and will be bordered by
the roof above and a wood beam below. The distance from the center of the window to the roof is 3 feet. What will be the circumference of the circular glass pane that will be
needed?
Answer:
12.57 ft
Step-by-step explanation:
First thing we need to find is the radius of the circular glass pane. We are given the information that the center of the glass plane is directly in the center of the triangle and that the closest distance from the center to the roof is 3 ft, including a metal border with a width of 1 ft.
Since the metal frame is the same width all the way around the window, we can safely conclude that the radius of the circular glass pane is 2 ft, as the 3ft measurement included the radius and the metal frame.
Now that we have our radius we can use the formula:
[tex]C=2\pi r[/tex] (Circumference = 2 x pi x radius)
Using 3.14 for pi we get:
[tex]C=2(3.14)(2)[/tex]
[tex]C=4 \pi[/tex] or 12.57 ft (2.d.p)
Whose inverses are also functions
Functions whose inverses are also functions.
What is inverse function?Inverse function is represented by [tex]f^{-1}[/tex] with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
If a horizontal line intersects the original function in a single region, the function is a one-to-one function and inverse is also a function.
Every function has an inverse, but not every inverse will be a function. The inverse may fail the vertical line test. If the original function is a one-to-one function, then its inverse will be a function. A one-to-one function not only passes the vertical line test, it also passes a horizontal line test.
Therefore, functions whose inverses are also functions.
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y is equal to 5 less than the product of x and -2. If the output is -27, what is the input?
Answer: 27 over 2,5
Step-by-step explanation:
1. choices: m-n m+n. m x n
2. choices: two. one. m. n.
3. choices: one. two. zero
4.choices: one. two. zero.
5. choices: first and last. first. last. middle
The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.
Polynomial's will be in which form?Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.
When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.
1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.
2. (x -a)(x +a) = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.
3. (x -a)(x³ +x) = x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms
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Lin solved the equation incorrectly. Find the errors in her solution.
x = 3/4 is the correct solution of the given expression.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
The expression Lin tried to solve
8(x-3)+7=2x(4-17)
Simplifying the expression,
8x - 24 = 2x(-13)
8x - 24 = -26x
8x+26x = 24
32x = 24
x = 24/32
x = 3/4
Thus, x = 3/4 is the correct solution of the given expression.
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Hey guys can you help me with this math problem I'm stuck
The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2
What is a function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is y = |x|.
The vertex is (0,0). The vertex of the transformed function is (-4,-2)
It means the graph is shifted 4 units left sides and 2 unit downward direction.
The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).
The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).
The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.
The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.
The equation of the transformed equation is g(x) = f(x + 4) - 2
g(x) = |x + 4| -2
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y=(x+3)(x-2)(x-r) with a y int. of 24. solve for r?
Answer:
Step-by-step explanation:
To solve for r, you need to first find the values of x that make y equal to 24. These values of x are called the roots of the polynomial equation y = (x+3)(x-2)(x-r).
To find the roots of the equation, you can use the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / (2a)
where a, b, and c are the coefficients of the quadratic equation y = ax^2 + bx + c.
In this case, the coefficients are:
a = 1
b = -3
c = -24
Substituting these values into the quadratic formula, we get:
x = (3 +/- sqrt(9 - 96)) / 2
= (3 +/- sqrt(-87)) / 2
Since sqrt(-87) is not a real number, there are no real roots for this equation. Therefore, the value of r cannot be determined.
which of the expressions below has a 6 in the tenths place if the difference a) 17.45 - 8,81 b) 12.35 - 1.76 c) 5.78 - 2.16 d) 19.34 - 1.69
31 is what percent of 37?
Answer: The total answers count 37 - it's 100%, so we to get a 1% value, divide 37 by 100 to get 0.37. Next- calculate the percentage of 31: divide 31 by 1% value (0.37), and you get 83.78% - it's your percentage grade.
It snowed 3 inches each day for a week. By
the next Monday, 6 inches had melted away.
How many inches of snow were still on the
ground?
Answer:
3 × 7 = 21
21 - 6 = 15
15 is the answer
round 20/3 to the nearest hundredth of a foot
The fraction 20/3 rounded to the nearest hundredth is 6.67.
What is rounding off of numbers?We round off numbers to make them easier to remember and it also keeps their value approximately to the place it has been rounded off.
To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.
Given, A fraction 20/3, First we'll convert this fraction into a decimal.
So, 20/3 is equal to 6.666666....
Therefore, 20/3 to the nearest hundredth of a foot is equal to 6.67.
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A builder buys a 21.5 acres of land to develop a new community of homes and parks.The builder plans to use 0.75 of the land for a park.How many acres will he use for the park?
He will use 9.375 acres of the land for the park
How to determine how many acres he will use for the park?A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
Since the land is 21.5 acres and 0.75 of the land was used for a park. we can write:
acres used for the park = 0.75 × 12.5 = 9.375 acres
Thus, he will use 9.375 acres for the park
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5x -2y = 1, ax -6y = b
whet are the values of a and b such that the equations have no solutions?
The system of equations will have no solutions if the two lines are parallel, then one example can be:
5x - 2y = 1
15x - 6y = 0
For which values of a and b the system has no solutions?Here we have the following system of equations:
5x - 2y = 1
a*x - 6y = b
The system will have no solutions only if the two equations are parallel. You can see that the coefficient of y on the second equation is 3 times the coefficient on the first equation.
Then a should also be 3 times the coefficient of x on the first equation:
a = 3*5
a = 15
And b should be any number but 3 times the constant on the other equation:
b ≠ 3*1
So we can take b = 0, for example.
So the system with no solutions will be:
5x - 2y = 1
15x - 6y = 0
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What if I only know the length of the shorter side consider the triangle equilateral triangle than determine the values of n and m without using a calculator
Answer: An equilateral triangle is a three-sided polygon with three equal sides and three equal angles of 60 degrees each. If you know the length of one of the sides of an equilateral triangle, you can use the formula for the area of an equilateral triangle to determine the values of n and m. The formula for the area of an equilateral triangle is:
Area = (sqrt(3)/4) * s^2
where s is the length of one of the sides of the triangle.
To determine the values of n and m, you can rearrange the formula to solve for s. For example, if you know that the area of the triangle is n and the value of m is the length of one of the sides of the triangle, you can rearrange the formula to solve for s:
s = sqrt(4n/sqrt(3))
Then, you can use the value of s to determine the value of m.
Step-by-step explanation:
help me with this question please
Answer:
[tex] \sf \: d) \: 82[/tex]
Step-by-step explanation:
Given information,
→ d = 10
→ u = 7
→ e = 3.2
The expression is,
→ d(e + 5)
Let's evaluate the expression,
→ d(e + 5)
→ 10(3.2 + 5)
→ 10 × 8.2
→ 82
Hence, option (d) is correct.
Answer:
Option D) 82
Step-by-step explanation:
Given ,
d = 10
u = 7
e = 3.2
To Find : [tex]d(e+5)[/tex]
Applying the values in the equations we get
[tex]10(3.2+5)\\[/tex] Applying Distributive property
[tex]32+50 = 82[/tex]
Hence , Option D) is the answer
For the function graphed below, what is the output when x=-2?
Step-by-step explanation:
that is a college level question ? and you don't know the answer ?
that is basic, basic, basic ...
you go on the x-axis to -2.
from there you go either up or down and look at what y-value are you crossing the functional curve.
it is -1.
so, the "output" for x = -2 is y = -1. or simply -1.
A house 20 meters long and 15 meters wide is surrounded by a verandah of uniform width of 3 meters. Find the cost of the flooring the verandah at RS 200 per square meter
Answer:
49200 rs. so the cost of flooring =246*200=49200 rs
Step-by-step explanation:
we measure the area of veranda by taking width in addition of length and breadth- house area
it means
area of veranda =outer rectangle-inner rectangle
⇒area= (20+3+3)*(15+3+3)-20*15
⇒area=26*21-300
⇒area= 546-300
⇒area=246 m²
Hence , the cost of flooring =246*200=49200 rs.
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
The volume of each drinking cup is 7.9 cubic inches.
What is the volume?An office uses paper drinking cups in the shape of a cone, with dimensions as shown.
The formula provides the volume of a cone.
V = (1/3) * π * r² * h.
We can find the solution by entering the already-known data into the formula.
d = 2.75 m.
Since radius is half of d, we can say
0.5 * 2.75 = 1.375 in.
4 inches is listed as the height.
The result of plugging all of them into the original formula is:
V = (1/3) * π(1.375)² (4) = 7.9
Our final response, rounded to the closest tenth, is:
V = 7.9 cubic inches.
The volume of each drinking cup is 7.9 cubic inches.
The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
d = 2.75 m.
h = 4
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