Answer:
1. A
2. C
Step-by-step explanation:
Which statement best describes the definition of x^m/n and explains why it makes sense?
As there are certain steps are there which describes, the definition of f x^m/n re, by taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocality to the power of n is equivalent to raising the original number to the power of n/m.
What is the statement?Statements are sentences that expressage a fact, idea, or legal opinion. Statements do not ask questions, make requests or give speech act. They are also not utterances.
As there is a second step that follows,
2. This can also be written as x^(mn/m^2) = x^(n/m) which is the same as x to the power of (n/m)
3. This can also be written as x^(mn/m^2) = x^(n/m) which is the same as x to the power of (n/m)
4. The expression (x^(m/n))^(n/m) is the definition of x^mn, which is the mth root of x raised to the power of n. It makes sense because taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocal to the power of n is equivalent to raising the original number to the power of n/m.
Therefore, As a result, the complete definition of x^m/n, are as follows in the above statement.
Learn more about the statement here:
https://brainly.com/question/2285414
#SPJ2
The complete statement was.
The expression (x^(m/n))^(n/m) is the definition of x^mn, which is the mth root of x raised to the power of n. It makes sense because taking the mth root of a number is the same as taking the reciprocal of the exponent, and raising that reciprocal to the power of n is equivalent to raising the original number to the power of n/m.
Work out
1/8
+
3/4
Give your answer in its simplest form.
can anyone help me out with this question
Answer:
[tex] \sf \: b) \: 45[/tex]
Step-by-step explanation:
The values given are,
→ u = 7
→ d = 10
→ e = 3.2
Now the expression is,
→ 15(d - u)
Evaluating the expression,
→ 15(d - u)
→ 15(10 - 7)
→ 15 × 3
→ 45
Hence, option (b) is correct.
Answer:45
Step-by-step explanation:
15(10-7)
15(3)
multiply and get 45
One integer is 5 less than another. The sum of their squares is 277
The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the two number be x and y
One integer is 5 less than another
So , x = y - 5
x - y = -5 be equation (1)
And , sum of their squares is 277
So , x² + y² = 277 be equation (2)
On simplifying the equation , we get
( x - y )² = x² + y² - 2xy
Substituting the values in the equation , we get
( -5 )² = 277 - 2xy
2xy = 277 - 25
2xy = 252
And , ( x + y )² = x² + y² + 2xy
Substituting the values in the equation , we get
( x + y )² = 277 + 252
( x + y )² = 529
( x + y ) = 23 be equation (3)
Adding equation (1) and equation (3) , we get
2x = 18
x = 9
So , y = 14
Therefore , the value of x and y is 9 and 14 respectively
Hence , the equations are solved
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
Which of the followinkg is a rational number that is not an integer?
-2
-0.5
0
4
Write the name of each of these polygons
Answer:
In geometry, a polygon can be defined as a flat or
plane, two-dimensional closed shape bounded with
straight sides. It does not have curved sides. The
sides of a polygon are also called its edges. The
points where two sides meet are the vertices (or
corners) of a polygon
1. polygon with four sides is called a Quadrilateral
2. polygon with six sides is called hexagon
3. polygon with five sides is called pentagon
Hope this helps?
in a classroom, there are 20 boys to 25 girls. Write the ratio of boys to girls as a simplified fraction.
Answer:
Pretty sure its 4/5
Step-by-step explanation:
Ratio is 20:25 simply it by dividing 5 its 4:5 then as a fraction it's 4/5
A bakery sells 5 apple muffins for every 2 bran muffins sold.Which table shows this ratio?
There are 45students in class 7. Among them 1/3are girls. find the numbers of girls and boys
Answer:
girls are 15 and boys are 30
Answer:
15 girls and 30 boysStep-by-step explanation:
Given,
No. of students in the class = 45
Fraction of girls = 1/3
Therefore,
No. of girls = 45 × 1/3
= 15
No. of boys = 45 - 15 = 30
Hence,
In class 7 there are 15 girls and 30 boys (Ans)
Please help ASAP!!! Thank you!!
Answer:
-3/x-1
Step-by-step explanation:
What is the area of the rectangle? A.11 square centimeters
B.22 square centimeters
C.28 square centimeters
D.14 square centimeters
Answer:
28
Step-by-step explanation:
Area of a rectangle = width times length therefore the equation is 7 times 4 = 28.
In a chess club the probability that Shaun will beat Mike is 3/8 .
The probability that Shaun will beat Tim is 5/7 .
(Assume all the games are independent of one another)
If Shaun plays 1 game with Mike and then 1 game with Tim, what is the probability that Shaun loses both games?
Answer:
[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games
Step-by-step explanation:
Games are independent, so we find each separate probability, and multiply them.
In a chess club the probability that Shaun will beat Mike is 3/8.
So [tex]1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}[/tex] probability that Shaun loses.
The probability that Shaun will beat Tim is 5/7 .
So [tex]1 - \frac{5}{7} = \frac{2}{7}[/tex] probability that Shaun loses.
What is the probability that Shaun loses both games?
This is:
[tex]p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786[/tex]
[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games
Consider the graph of the function /() = 24
y
5-
4-
3-
2-
1
-3
21
0
2
3
4
5
-1-
-2
-3
-49
-5-
Match each transformation of function fto a feature of the transformed function.
asymptote of y = 2
y-intercept at (0,4)
y-intercept at (0,2)
function decreases as x increases
9514 1404 393
Answer:
function decreases(0, 2)y = 2(0, 4)Step-by-step explanation:
-f(x) reflects the graph over the x-axis. Instead of increasing everywhere, it decreases everywhere.
__
2f(x) stretches the graph vertically by a factor of 2. The y-intercept of (0, 1) gets moved to (0, 2)
__
f(x) +2 shifts the graph up 2 units. The horizontal asymptote moves from y=0 to y=2.
__
f(x+2) shifts the graph left 2 units. The point (2, 4) on the original graph gets translated to the y-axis to become the new y-intercept (0, 4).
6 18 years ago Chris was 5 vears old. How old
will he be in 16 years time?
Answer:
he should be 39 y/o
Step-by-step explanation:
you would add the 18 and 5 to get him age now, and then add the 16 years, so his age would be 39. hope this helps
What are the features of the quadratic function ƒ(x) = (x – 3)(x + 7)?
Answer:
See below
Step-by-step explanation:
I guess if you look at the zeroes/x-intercepts, we got (3,0) and (-7,0) as zeroes.
Additionally, we can calculate the minimum by expanding the function:
[tex](x-3)(x+7)=x^2+4x-21[/tex]
[tex]\displaystyle x=-\frac{b}{2a}=-\frac{4}{2(1)}=-2\\\\f(-2)=(-2)^2+4(2)-21=4+8-21=12-21=-9[/tex]
So the minimum of the function is (-2,-9)
Also, our y-intercept is (0,-21)
Write an expression for "3 more than x."
Answer:
The expression is x + 3 or 3 + x
Step-by-step explanation:
Answer:
The answer is 3>x or x<3
Step-by-step explanation:
hope this helps
Please define the following: Revenue, Cost and Profit VS
Marginal Revenue, Marginal Cost and Marginal Profit.
The additional expense brought on by reducing the quantity is known as the cost. An additional expense "at the margin" is another name for this. The extra income that results from raising the supply is known as the marginal revenue.
What is Cost and Profit?
Profit is defined as the difference of revenue and cost (determined by deducting cost from revenue. when revenue exceeds operational expenses, the difference between them is called the operating profit.
The additional money "at the margin" is another name for this.The money left over after a corporation pays its bills and expenses is known as its profit. Costs are the out-of-pocket expenditures comes to making, producing, and marketing the company's goods and services.
Learn more about Cost and Profit, Here:
https://brainly.com/question/13709859
#SPJ1
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g ( x ) = − 18 ( 1 3 ) x + 2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function g increases at a faster average rate. C. Both functions are increasing, but function f increases at a faster average rate. D. Only function f is increasing, and only function f is negative.
The correct comparison between two function is
Both functions are increasing, but function g increases at a faster average rate.
The Correct option is (B).
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume
f(x) = [tex]ab^x[/tex]+ c
so, at x=0, f(0)=-10
a +c = -10
Similarly, by satisfying the above table in the f(x)
f(x) = -33/5 [tex](1/11)^x[/tex] - 17/5
and, f'(x) > 0
Thus, f(x) is an increasing function.
Now, g(x) = -18 [tex](1/3)^x[/tex] +2
g'(x) = -18 [tex](1/3)^x[/tex] log(1/3)
as log 1/3 <0
So, g'(x) > 0
Thus, g(x) is an increasing function.
For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).
Hence, Both functions are increasing, but function g increases at a faster average rate.
Learn more about increasing functions here:
brainly.com/question/12940982
#SPJ1
please help
log(8)10 - log(8) -3x = 1
Answer: x=2.375937.... sorry I give you the wrong one but here the steps O here x=2.96423 will it can be any one of the two answer I give you now.
Step-by-step explanation: Hope this help :D
Answer:
2.4?
Step-by-step explanation:
In a bag of candy, Marsha found that there were 7 red, 8 blue, 5 yellow, and 9 greens pieces of candy. Marsha put all of the pieces of candy back in the bag, and drew one piece of candy out.
Part A:
Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
Part B:
Marsha now wishes to determine compound probability. Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
If you cannot see, zoom in. Don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest!
Answer:
Step-by-step explanation:
1) find the total candies
7 + 8 + 5 + 9 = 29
2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find
- red = 7/29
- blue = 8/29
- yellow = 5/29
- green = 9/29
3) compound probability
(red + blue)/29 = 15/29
(yellow + green)/29 = 14/29
(blue + yellow + green)/29 = 22/29
За – 29 = 3(a – 3).
Answer:
No Solutions
Step-by-step explanation:
Hello!
We can solve for a by isolating the variable.
Solve for a:Distribute: 3a - 29 = 3(a) - 3(3)Simplify: 3a - 29 = 3a - 9Subtract 3a from both sides: -29 = -9Since -29 cannot be equal to -9, there are no solutions for this equation.
I need help with these
Answer:
w=17
Step-by-step explanation:
Distribute -9 into the parenthesis to remove them.
Use the addition property of equality and add -9w to both sides of the equation
use addition property of equality again and add -243 to the opposing side of the equation
Use division property of equality and divide both sides by 9
Thus getting w = 17
In the diagram for this problem, lines BE and CF are congruent. Arc AB = 48 degrees. Arc BC = 42 degrees. Which measure is the greatest?
Answer:
arc AB
Step-by-step explanation:
uhhhh 48 is greater than 42
Please help meeeeee!!!!!!!
Answer:
g
Step-by-step explanation:
3x+1<2+4x
-1<x
Answer:
x > -1
Step-by-step explanation:
3x + 1 < 2 + 4x
-x < 1
x > -1
Find the limit, if it exists.
lim (x - 3x2 + 3)
a.
8
C. -12
b. -1
d. None of these
Please select the best answer from the choices provided
Ο Α
B
Ο Ο Ο Ο
oo
Answer:
B. -1
Step-by-step explanation:
Edge 2021
Is this correct, If not tell me what is the correct answer.
Answer:
its correct
Step-by-step explanation:
Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?
Algebra Not in Algebra Total
Physics 5 9 14
Not in Physics 24 2 26
Total 29 11 40
it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.
How to find the number of students enrolled in either algebra or physics?To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.
So, the number of students enrolled in either algebra or physics is:
29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38
So, 38 students are enrolled in either algebra or physics.
It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.
To learn more about principle of inclusion-exclusion visit:
https://brainly.com/question/27975057
#SPJ1
Please answer correctly with a fair explanation, I will give you brainliest.
Answer:
5 and 6
Step-by-step explanation:
We know that the square root of 36 is 6, so the square root of 35 must be between 5 and 6 as it is not a perfect square.
What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8
When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.
What is the value of the expression when x = 2?Here we need to evaluate the following expression:
8x² + 6x - 8
in x = 2.
Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:
8*2² + 6*2 - 8
8*4 + 12 - 8
8*3 + 12
24 + 12 = 36
When x = 2, the expression is equal to 36.
Learn more about evaluating expressions:
https://brainly.com/question/4344214
#SPJ1
3p-3p+2s-6s+2q-3q+8r-7r
Is it ok to not put the p in this equation as the 3p is minus
Answer:
- 4s - q + r
Step-by-step explanation:
that's right. You do not put the p since 3p and -3p cancel out to give zero. I'll solve the question for you:-
⇒3p-3p+2s-6s+2q-3q+8r-7r
add or subtract the like terms(terms having same variables), then out of the two like terms, put the sign of the greater number, for e.g. 2q-3q = -1q
⇒0 - 4s - 1q + 1r
⇒- 4s - q + r Answer
hope that helps...