The value of x=0.301 at the x the graph of the function have a horizontal tangent.
Given that,
The function is f(x)=eˣ-2x
We have to find the value of x does the graph of the function have a horizontal tangent.
What is the horizontal tangent?Where the derivative of a function is zero, a graph's horizontal tangent line is a mathematical feature. This is so that the derivative, by definition, can provide the slope of the tangent line. The slope of horizontal lines is zero. As a result, when the derivative is zero, the tangent line is horizontal.
For horizontal tangent line,
f'(x)=0
The differentiation of the function is
eˣ-2=0
eˣ=2
Taking logarithm on both sides.
logeˣ=log2
We know that loge=1
So,
x loge=log2
x(1)=log2
x=log2
x=0.301
Therefore, the value of x=0.301 at the x the graph of the function have a horizontal tangent.
To learn more about horizontal visit: https://brainly.com/question/9083871
#SPJ13
Which one
tell us number of energy levels
A.protons
B.neutrons
C.periods
D,family/groups
Periods are the rows that span the periodic table. Families or groups are the columns that go from Page 2 up.
How many different energy levels are there?The maximal energy level of the electrons serves as a marker for the period (or row) in the periodic table that an atom belongs to (1 through 7). The table has 7 periods, hence there are 7 energy levels. The first period's atoms have electrons in the first energy level. The second period's atoms have electrons in two different energy states. The third period's atoms have electrons in three different energy levels. The fourth period's atoms have electrons in four different energy levels. Typically, the number of the period itself is the same as the number of energy levels in each period. The first period's atoms have electrons in the first energy level.
To learn more about energy levels refer to
https://brainly.com/question/21913122
#SPJ13
-
Which graph represents the function f(x) = |x] – 4?
Graph for the modulus function is as follows.
What is modulus function?
A modulus function is a function that determines a number or variable's absolute value.
Main body:
Given that,
Which graph represents the function f(x) = 4⌈x⌉?
Now,
to represent the graph of Y = IxI-4 .
So,
Taking x = 0, we get
Y = IxI -4
Y = I0I -4
Y = -4
Taking x = 1, we get
Y = IxI - 4
Y = I1I -4
Y = -3
Taking x = 2, we get
Y = IxI - 4
Y = I2I - 4
Y = -2.
Taking x = -1, we get
Y = IxI - 4
Y = I-1I - 4
Y = 1 -4
Y = -3
Taking x = -2, we get
Y = IxI - 4
Y = I-2I - 4
Y = -2
Hence the graph for the function is as follows.
To learn more about modulus function click on the link below
https://brainly.com/question/13419189
#SPJ9
Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 50 cents?
Answer:
10 inches
Step-by-step explanation:
What this question is asking you to do is set up a ratio. So all you do is 14/70 = x/50 and solve for x.
Answer:
14inches = 70cents
X inches = 50cents
70x = 50×14
70x = 700
X = 10inches
A store pays $114 for a picnic table. The store marks up the price by 28%. What is the
amount of the mark-up?
The markup price on the table would be $32.
What is the markup price?The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %. The markup percentage, which is computed as (12 - 8) / 8, is 50% for an item that costs the business $8 to produce but is priced at $12.So, we have:
Discount = 28%The selling price of the picnic table = is $114Now, calculate the makeup price:
Mark-up price = Discount * Selling Price
Mark-up price = (28/100) * 114
Mark-up price = 31.92
Mark-up price ≈ 32.
Hence, the markup price on the table would be $32.
To know more about markup prices check the given link:
https://brainly.com/question/1153322
#SPJ1
what is the value of sin 78^
The exact value of the sine of angle 78° sin(78°) is presented as follows;
[tex]sin(78^{\circ}) = \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]
What is the sine of an angle?The sine of an angle is found by taking the ratio of the opposite side to the hypotenuse side of a right triangle that has the specified angle.
The sine of angle 78° is found from the sine of the sum of two angles (60° + 18°) as follows;
sin(78°) = sin(60° + 18°)
sin(A + B) = sin(A)·cos(B) + cos(A)·sin(B)
Therefore, sin(78°) = sin(60° + 18°) = sin(60)·cos(18°) + cos(60°)·sin(18°)
Where, 18° = A, we have;
5·A = 90°
2·A = 90° - 3·A
sin(2·A) = sin(90° - 3·A) = cos(3·A)
2·sin(A)·cos(A) = 4·cos³(A) - 3·cos(A)
2·sin(A)·cos(A) - (4·cos³(A) - 3·cos(A)) = 0
2·sin(A) - (4·cos²(A) - 3) = 0
2·sin(A) - (4·(1 - sin²(A)) - 3) = 0
4·sin²(A) - 2·sin(A) - 1 = 0
Which gives;
[tex]sin(A) = \dfrac{-1\pm \sqrt{5} }{4}[/tex]
[tex]sin(18^{\circ}) = \dfrac{\sqrt{5} -1 }{4}[/tex]cos²(18°) = 1 - sin²(18°)
cos(18°) = √(1 - sin²(18°))
[tex]cos(18^{\circ}) =\sqrt{1 - \left( \dfrac{\sqrt{5} -1 }{4}\right)^2} = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]
[tex]cos(18^{\circ}) = \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }[/tex]
Therefore;
[tex]sin(78^{\circ})=\dfrac{\sqrt{3} }{2} \cdot \left( \dfrac{1}{4} \cdot \sqrt{10+2\cdot \sqrt{5} }\right) +\dfrac{1}{2} \cdot \left( \dfrac{\sqrt{5} -1 }{4}\right)= \dfrac{\sqrt{5}-1+\sqrt{\sqrt{5}\cdot \left(6+6\cdot \sqrt{5} \right) } }{8}[/tex]
Learn more about the trigonometric identities in mathematics here:
https://brainly.com/question/24349828
#SPJ1
In 5-10, match each expression with the correct value
Trignometric equation can be used to answer this:
What is trignometric equation?A trigonometric equation is any equation that contains a trigonometric function. Up until now we have introduced trigonometric functions, but not fully explore them. In the lessons within this SparkNote on trigonometric equations, we'll learn exactly how to solve trigonometric equations.As mentioned in Trigonometric Identities, a trigonometric equation that holds true for any angle is called a trigonometric identity. There are other equations, though, that only are true for certain angles. They are generally known as conditional equations, but in this text we'll just call them equations. We'll learn some techniques for solving general equations, as well as how to derive an infinite number of solutions to an equation based on a single solution to that equation.acc to our question-
5. cos(75)= 2-√3
6. tan(22/7)= 1+√2
7. sin 3π/6= √2-√√2/2
Learn more about trignometric equation:
https://brainly.com/question/24496175
#SPJ13
How would I solve this? i know how to solve easier variations but not like this the question is:
Write a linear function f with the values f (-1) = 8 and ƒ (5) = 6.
The linear function with values of f(-1)=8 and f(5)=6 is f(x) = [tex]\frac{-x+23}{3}[/tex].
What is linear function?
A straight line on the graph has the equation or formula y = f(x) = px + q is linear function .One independent and one dependent variables are present. X and Y are the independent and dependent variables, respectively. P is the y-intercept or constant term, and it also represents the value of the dependent variable. A straight line on the coordinate plane is represented by a linear function.
Here the given values are f(-1)=8 and f(5)=6.
We know that f(x)=y , Then the points are (-1,8) and (5,6).
Using slope formula ,
=> slope m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = -2/6=-1/3
Now using slope formula,
=> [tex]y-y_1=m(x-x_1)[/tex]
=>y-8=-1/3(x+1)
=>3y-24=-x-1
=> 3y=-x+23
=> y = [tex]\frac{-x+23}{3}[/tex]
Hence the linear function is f(x) = [tex]\frac{-x+23}{3}[/tex].
To learn more about linear function refer the below link
https://brainly.com/question/28899900
#SPJ9
what is the product of 3/4 of 4/5
Answer:
0.6
Step-by-step explanation:
3/4 of 4/5 is the same as asking: If you take 3/4 of 4/5, what do you get? Furthermore, 3/4 is 75 percent. Therefore, we are solving 75 percent of 4/5 when we are solving 3/4 of 4/5. To solve the problem, we start by labeling 3/4 of 4/5 like this: N1/D1 of N2/D2
Then we use this fraction of a fraction formula to solve the problem:
(N1 x N2) / (D1 x D2)
When we enter 3/4 of 4/5 into the formula, we get:
(3 x 4) / (4 x 5) = 12/20
Therefore, the answer to 3/4 of 4/5 in its lowest form is:
3/4 of 4/5 = 3/5
The answer above is 3/4 of 4/5 in fraction form. Below we have converted the response to a decimal form for you: 3/4 of 4/5 = 0.6
Hint: If you need to figure out a Fraction of Fraction problem like 3/4 of 4/5 in the future, remember that you get the answer by multiplying the numerator to and the denominator this is the same as multiplying the fractions together.
Sara volunteered to get hot dogs for her softball team. Of the 16 players on the team, 12 wanted ketchup, 7 wanted mustard, and 4 wanted both. How many players wanted: H. only ketchup? O. only mustard? W. neither ketchup nor mustard?
Answer:
H) 8, O) 3, W) 1------------------------------
GivenTotal players = 16,Wanted ketchup = 12,Wanted mustard = 7,Wanted ketchup and mustard = 4.Find the numbers of players who ...Wanted only ketchup = 12 - 4 = 8,Wanted only mustard = 7 - 4 = 3,Wanted neither ketchup nor mustard = 16 - (8 + 4 + 3) = 1According to the general equation for conditional probability, if P(AB) =3/7 and P(B)=7/8,
what is P(AIB)? O A. O B. O c. O D. 16 49 32 24 49
Answer:
(d) 24/49
Step-by-step explanation:
You want to know P(A|B) when P(AB) = 3/7 and P(B) = 7/8.
Conditional probabilityThe general equation for conditional probability tells you ...
P(A|B) = P(AB)/P(B)
P(A|B) = (3/7)/(7/8) = (3/7)·(8/7)
P(A|B) = 24/49
Which phrase represents the algebraic expression for n – 4?
A. The quotient of a number and four.
B. Four less than a number.
C. Four minus a number.
D. Four more than a number
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Given,
The algebraic expression; n - 4
We have to find the phrase that represents the given algebraic expression.
Algebraic expression;
In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). Terms comprise expressions.
An algebraic expression can be categorized into different categories depending on how many terms it contains: polynomial, quadrinomial, trinomial, monomial, and binomial.
So,
n - 4
That is,
4 is less than from a number
Therefore,
The phrase that represents the algebraic expression n - 4 is option b four less than a number.
Learn more about algebraic expression here;
https://brainly.com/question/5064298
#SPJ1
Answer:
the answer is b
Step-by-step explanation:
Find the ratio of the volume of the triangular prism
to the volume of the cuboid.
Give your answer in its simplest form.
4 cm
20 cm
9 cm
cm
5 cm
6 cm
The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
What do you mean by prism?
A prism is a three-dimensional solid object with identical ends. It is a result of the elements of flat faces, identical bases, and equal cross-sections. The prism's faces are either parallelograms or rectangles without bases.The base of the triangular prime is a right triangle with legs 5 cm, 4 cm
∴ b = 5 cm and h = 4 cm
∵ Its height is 9 cm
∴ H = 9 cm
→ Substitute them in the rule of the prism above
∵ V = 1/2 * (5)(4) × 9
∴ V = 90 cm³
∵ The dimensions of the base of the cuboid are 6 cm and 5 cm
∴ L = 6 cm and W = 5 cm
∵ Its height is 20 cm
∴ H = 20 cm
→ Substitute them in the rule of the cuboid above
∵ V = 6 × 5 × 20
∴ V = 600 cm³
→ Find the ratio between them
∵ V: V = 90: 600
→ Divide each term of the ratio by 30 to simplify them
∴ V: V = 3: 20
∴ The ratio of the volume of the triangular prism to the volume of
the cuboid is 3: 20
Learn more about Prism
brainly.com/question/12649592
#SPJ13
Consider the composite function g(f(x)) =x√6.
If f(x) = 3x2, what is g(x)?
O g(x)=√2x
O g(x)=√x+3
O g(x)=√6x
O g(x)=√9-x
The value of g(x) is √2x.
What is a composite function?
A function whose values are obtained from two given functions by first applying one to an independent variable and then using the result to apply the second, and whose domain is made up of those independent variable values for which the first function's result falls within the second function's domain.
Here, we have
g(f(x)) =x√6.
f(x) = 3x²
By applying a composite function
g(f(x)) =√6x
g(3x²) = x√6
g(x) must be √(2x)
because if we substitute x = 3x² in this we get
= (√2(3x^2))
= √2√3√(x²)
= √6 x
Hence, the value of g(x) is √2x.
To learn more about the composite function from the given link
https://brainly.com/question/10781304
#SPJ9
Prove that
cos 2A/cos A-sin A
= cos A + sin A
The value of cos 2A/cos A-sin A = cos A + sin A is proved
cos 2A = 2cos²A - 1
= 2cos²A - (sin²A + cos²A)
= 2cos²A - sin²A - cos²A
= cos²A - sin²A
We need to prove that
cos 2A/cos A-sin A = cos A + sin A
L.H.S
cos 2A/cos A-sin A
= cos²A - sin²A/ cos A-sin A
= (cos A + sin A)(cos A-sin A)/ cos A-sin A
= cos A + sin A
R.H.S
LHS = RHS proved
Therefore, cos 2A/cos A-sin A = cos A + sin A is proved
To learn more about trignometry refer here
https://brainly.com/question/7331447
#SPJ9
A combination lock uses 4 numbers, each of which can be 0 to 32. If there are no restrictions on the
numbers, how many possible combinations are available?
If there are no restrictions on the numbers then the possible number of combinations is 1,185,921.
What is a combination?
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.
Here,
There are 4 numbers needed for the combination and one can pick between 0 and 32.
This means that there are 33 numbers that can be used for the lock including 0.
The number of possible combinations is:
= Number that can be used with no restrictions on the number combination lock limit
= 33 ⁴
= 1,185,921 combinations
Hence, If there are no restrictions on the numbers then the possible number of combinations is 1,185,921.
To learn more about the combinations from the given link
https://brainly.com/question/14707738
#SPJ1
Question Solve the equation. −2 1/4=r−4/5 r=
Answer:
[tex]r=\frac{21}{20}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{1}{4} =r-\frac{4}{5}[/tex]
Add 4/5s on both sides:
[tex]-\frac{4}{5} +\frac{4}{5} =0[/tex]
[tex]\frac{1}{4} +\frac{4}{5}[/tex]
Find the LCM:
[tex]\frac{5}{20}+\frac{16}{20}[/tex]
[tex]\frac{5+16}{20}[/tex]
[tex]\frac{21}{20}[/tex]
[tex]r=\frac{21}{20}[/tex]
Hope this helps.
let's firstly convert the mixed fraction to improper fraction, now keeping in mind that the LCD of the denominators 4 and 5 is 20, let's use that LCD to do away with the denominators.
[tex]\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{9}{4}=r-\cfrac{4}{5}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( -\cfrac{9}{4} \right)=20\left( r-\cfrac{4}{5} \right)}\implies -45=20r-16 \\\\\\ -29=20r\implies -\cfrac{29}{20}=r\implies -1\frac{9}{20}=r[/tex]
Consider the equation and the following ordered pairs: (1,y) and (x,−3).
6x+3y=15
Step 1 of 2 : Compute the missing x and y values so that each ordered pair will satisfy the given equation.
Answer
Keyboard Shortcuts
Complete the table below.
x y
row 11 Answer
row 2 Answer
−3
Answer:
(1,3)
(4,-3)
Step-by-step explanation:
To find y, replace x with 1 in the equation and solve for y
6x + 3y = 15
6(1) + 3y = 15
6 + 3y = 15 Subtract 6 from both sides
3y = 9 Divide both sides by 3
y = 3
(1,3)
To find x, replace y with -3 in the equation and solve for x
6x + 3y = 15
6x + 3(-3) = 15
6x - 9 = 15 Add 9 to both sides
6x = 24 Divide both sides by 6
x = 4
(4, -3)
(a)- domain and range of function
(b)- intercepts
(c)- horizontal asymptotes
(d)- vertical asymptotes
(e)- oblique asymptotes
Twelve less than 9 times a number is equal to 8 minus 4 times the number
Answer:
If you let 'n' to represent a number then '-9 times a number' can be written as -9n
'less then' means subtraction: 12 less then -9 times a number becomes -9n - 12 (the subtraction in the equation is written in the opposite way as written in words)
'8 minus 4 times the number ' becomes 8 - 4n
So, the equation is: -9n - 12 = 8 - 4n
Get all the variables to one side. If you add 9n to both sides:
-9n + 9n - 12 = 8 - 4n + 9n
-12 = 8 + 5n
Subtract 8 from both sides:
-12 - 8 = 8 - 8 + 5n
-20 = 5n
Divide both sides by 5:
-20 ÷ 5 = 5n ÷ 5
-4 = n
Now, check the answer: -9n - 12 = 8 - 4n
-9(-4) - 12 = 36 - 12 = 24 8 - 4(-4) = 8 + 16 = 24 They check!
Step-by-step explanation:
Hope this helps! :)
help please
what c=math ........
The value of c for the expression, -0.65(c-7) = 1.95, is 4.
According to the question,
We have the following expression:
-0.65(c-7) = 1.95
Now, 0.65 is in multiplication on the left hand side. So, it will be in the division on the right hand side. Note that the negative sign can also be moved to the right hand side.
c-7 = -1.95/0.65
c-7 = -3
Moving 7 from the left hand side will result in the change of the sign from minus to plus:
c = -3+7
c = 4
Hence, the value of c is 4 for the given expression.
To know more about value of c here
https://brainly.com/question/12401847
#SPJ1
(PLEASE OPEN) Need help with triangle proofs, please.
The triangle proof that shows that angle Q and angle S are congruent to each other is explained below.
What is the Side-angle-side Congruence Theorem (SAS)?The side-angle-side congruence theorem (SAS) states that if the two sides and an included angle in one triangle is congruent to two corresponding sides and an included angle in the other triangle, then both triangles are congruent to each other.
If two triangles are congruent to each other, the CPCTC theorem states that all their corresponding parts are also equal or congruent to each other.
The triangle proof is given as:
Statements Reasons
1. PR bisects ∠PQS 1. Given
2. ∠1 ≅ ∠2 2. Definition of bisection
3. PQ ≅ PS 3. Given
4. RP ≅ PR 4. Reflexive property
5. ΔQPR ≅ ΔSPR 5. SAS theorem
6. ∠Q ≅ ∠S 6. CPCTC
Learn more about the SAS on:
https://brainly.com/question/14252518
#SPJ1
If you double a number and then add 32,you get 2/9of the original number. What is the original number?
Answer:
- 18
Step-by-step explanation:
let the number be n then double the number is 2n and
2n + 32 = [tex]\frac{2}{9}[/tex] n
multiply through by 9 to clear the fraction
18n + 288 = 2n ( subtract 2n from both sides )
16n + 288 = 0 ( subtract 188 from both sides )
16n = - 288 ( divide both sides by 16 )
n = - 18
the original number is - 18
The school play ran for 3 nights. 185 tickets were sold for the first night. 160 tickets were sold for the second night. 192 tickets were sold for the third night. The tickets cost $4 each. What information is NOT necessary to calculate the total amount of money raised from ticket sales?
A) 192 tickets were sold the for the third night.
B) The school play ran for 3 nights.
D) 185 tickets were sold for the first night.
C) The tickets cost $4 each.
Answer:B
Step-by-step explanation:
Becauee it already says the first night how many tickets were sold also on the second and the third night. And if someone read the equation they would have known that the play went in for three nights.
Original quantity:100 New quantity:106
Original quantity:10 New quantity:16
Original quantity:50 New quantity:56
The percentage increase for each of the given figures are;
a) 6%
b) 6%
c) 12%
What is the percentage Increase?Percentage increase is simply defined as the percentage by which a figure increases. The formula to calculate percentage increase is;
Percentage increase = (Final value - Initial Value)/initial value) * 100%
a) We are given;
Original quantity = 100
New quantity = 106
Thus;
Percentage increase = (106 - 100)/100 * 100%
Percentage increase = (6/100) * 100%
Percentage increase = 6%
b) We are given;
Original quantity = 10
New quantity = 16
Thus;
Percentage increase = (16 - 10)/10 * 100%
Percentage increase = (6/10) * 100%
Percentage increase = 60%
c) We are given;
Original quantity = 50
New quantity = 56
Thus;
Percentage increase = (56 - 50)/50 * 100%
Percentage increase = (6/50) * 100%
Percentage increase = 12%
Read more about Percentage Increase at; https://brainly.com/question/11360390
#SPJ1
Complete question is;
Find the percent increase for the given original and new quantities in parts a through c.
a) Original quantity:100 New quantity:106
b) Original quantity:10 New quantity:16
c) Original quantity:50 New quantity:56
looooooooooooooooootttttttsss offffffffffffffffffff pointtttttttttttttttttttssssssssssssssssssssssssss
Line AD and line EG are parallel line, Transversal CH < ABC and EFH are same side exterior angles
What are same side exterior angles?The presence of two parallel lines and a transversal line leads to some important theorem used in geometry
Some of the theorems include
alternate interior anglesalternate exterior anglescorresponding angles same side exterior anglesThe exterior angles refers to angles above line AD and below line EG, which are the parallel lines. These angles according to the figure are 4 and they include
< ABC< CBD< EFH< GFHThe exterior angles to the left of the transversal line forms a pair of same side exterior, similarly, to the right of the transversal line forms another pair of same side exterior angles.
The question is asking of same side exterior angles to < ABC, which is to the left of the transversal line. The pair that are same side exterior angles to the left of the transversal line are
< ABC< EFHHence < EFH and < ABC are same side exterior angles
Learn more about same side exterior angles here:
https://brainly.com/question/14027512
#SPJ1
You want to be able to withdraw $20,000 each year for 20 years. Your account earns 9% interest.
a) How much do you need in your account at the beginning?
b) How much total money will you pull out of the account?
c) How much of that money is interest?
a) The amount of money in the account at the beginning is $222,222.222.
b) The total amount of money withdrawn from the account is $400,000.
c) The amount of interest earned is $177,777.778.
It is given that we want to be able to withdraw $20,000 per year for 20 years. The account earns 9% interest annually. Let the total amount of money withdrawn in the twenty years be represented by the variable "A".
A = $20,000*20 = $400,000
Let the amount of money in the account at the beginning be represented by the variable "P".
A = P*R*T
400,000 = P*0.09*20
400,000 = P*1.8
P = 222,222.222
The interest earned is the difference between the initial and the final amount in the bank. Let the interest earned be represented by the variable "I".
I = A - P = $400,000 - $222,222.222 = $177,777.778
To learn more about interest, visit :
https://brainly.com/question/22621039
#SPJ1
Determine which integer will make the inequality 12 > 2x + 4 true.
Answer: Integers less than 4 will make the inequality true.
Step-by-step explanation:
1) subtract both sides by 4 to isolate 2x so we are now left with 8 > 2x.
2) divide both sides by 2 so we are left with just x, leaving us now with 4 > x.
Integers must be less than 4 because if you substitute x as 4, we have 12 > 12, which is not true. But, if we substitute x as 3, we are left with 12 > 10, which makes the inequality true.
According to the local weather report, the probability of rain in Chicago on October 14 is 57%.
The fraction that represents the percentage of 57% is presented as follows:
57/100.
How to convert a percentage to a fraction?A fraction is represented by the division of a term x by a term y, according to the equation presented as follows:
Fraction = x/y.
The terms are know as numerator and denominator, respectively, as follows:
Numerator: the top term of the fraction, in our example x, is called the numerator of the fraction.Denominator: the bottom term of the fraction, in our example y, is called the denominator of the fraction.For a percentage of a%, the equivalent fraction is obtained as follows:
The numerator is the percentage of a.The denominator is of 100.Hence, for a percentage of 57%, as is the case in this problem:
The numerator is 57.The denominator is 100.Hence the fraction is:
57/100.
Missing InformationThe problem asks to represent the percentage as a fraction.
A similar problem, also featuring fractions, is presented at brainly.com/question/1622425
#SPJ1
calculate the arithmetic mean of the numbers 7 and 17, 1/3 and-2/5, -12 and 7, -121 and 49, -16, -9, and 4
47 POINTSSSSSSSSSSSS
The arithmetic mean of the numbers is -6 11/15
What is arithmetic mean?Arithmetic mean is often referred to as the mean or arithmetic average. It is calculated by adding all the numbers in a given data set and then dividing it by the total number of items in that set.
therefore, arithmetic mean= sum of items/ no of items
The average of numbers,7, 17, 1/3 ,-2/5, -12 ,7, - 121, 49,-16,-9and 4 is obtained by adding the numbers to together and dividing the result by the total frequency.
The sum of the numbers is 7 +17 +1/3-2/5 -12+7 - 121+ 49-16-9+ 4= -1111/15
the total number of items in the set is 11
therefore arithmetic mean = -1111/15÷ 11
= -1111/15×1/11
=-101/15
= -6 11/15
learn more about arithmetic mean from
https://brainly.com/question/1136789
#SPJ1
Bella fills Her gas tank with 13 1/2 gallons of gas. After driving the car she has 11 4/5 gallons left. How much gas did Bella use?
Answer:
1.7 gallons
Step-by-step explanation:
You would chand the 1/2 and 4/5 into tenths by multiplying 1/2 by 5 getting 5/10 then multiplying 4/5 by 2 to get 8/10 so you would have 13 5/10- 11 8/10 to get 1.7 gallons left.
