Answer:
f(x) = 0.5x
Step-by-step explanation:
note that each of the values in the range is half its corresponding value in the domain
- 4 ÷ 2 = - 2
- 2 ÷ 2 = - 1
0 ÷ 2 = 0
2 ÷ 2 = 1
4 ÷ 2 = 2
then
f(x) = [tex]\frac{1}{2}[/tex] x = 0.5x
If 25% of a number is 40 and 55% of the same number is 88, find 80% of that number.
The solution to an inequality is graphed on the number line. A number line going from negative 5 to positive 5. A solid circle appears between positive 4 and positive 5. The number line is shaded from the circle to negative 5. What is another way to represent this solution set? {x | x < 4. 5} {x | x ≤ 4. 5} {x | x > 4. 5} {x | x ≥ 4. 5}.
Another way to represent this solution set is to express it as a set notation, which is {x | x ≤ 4.5}. This notation represents all values of x that are less than or equal to 4.5.
What is inequality?Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.
To graph this set, a closed circle would be placed at the 4.5 mark on the number line, and the numbers to the left of the circle would be shaded. This would indicate that all of the numbers to the left of the 4.5 mark, including the 4.5 mark itself, are part of the solution set.
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A mixture of alcohol and water contains a total of 52 oz of liquid. There are 13 oz of pure alcohol in the mixture. What percent of the mixture is water? What percent is alcohol?
The percent of water in the mixture is
The percent of water in the mixture is
p[tex]^{w}[/tex]=m[tex]^{w}[/tex]/m×100%=
52 oz/65oz×100%
=80%
What is mixture?A mixture is a compound made up of two or more chemical components that are not chemically linked. A mixture is a physical blend of two or more substances that preserve their identities and are blended in the form of solutions, suspensions, or colloids.A mixture is a material that is made up of two more chemical compounds or substances that do not combine together chemically. It is actually the physical combination of two or more substances that are able to retain their identities while they are mixed in form of solutions, suspensions, or colloids. You can separate them by physical methods. In any mixture, the various components do not form through any kind of chemical change. Therefore, the components’ individual properties remain intact.
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Solve the problem below:
(-10)+13-2=?
Answer:
1
Step-by-step explanation:
(-10)+13-2
-10+13-2
3-2
1
The angles are supplementary angles determine the measures of each
Answer:
Step-by-step explanation:
The angles are supplementary, so they add to 180.
x + (6x -2 ) = 180
7x = 182
x = 182/7 = 26 = m∠2
6(26) - 2 = 154 = m∠1
The length of a rectangle is five times its width. If the perimeter of the rectangle is 120 m , find its length and width.
The length and width of the rectangle are 50 metres and 10 metres respectively.
How to find the length and width of a rectangle?A rectangle is a quadrilateral with opposite sides parallel to each other and opposite side equal to each other.
The length of a rectangle is five times its width.
Therefore,
l = 5w
The perimeter of the rectangle is 120metres.
Hence,
perimeter of the rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
120 = 2(5w + w)
120 = 2(6w)
120 = 12w
divide both sides by 12
w = 120 / 12
w = 10 metres
l = 5(10)
l = 50 metres
Therefore,
width = 10 metres
length = 50 metres
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Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When graphed, the
function gives a line with a slope of -0.13. See the figure below.
There is $28.51 in credit remaining on the card after 27 minutes of calls. How much credit will there be after 36 minutes of calls?
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
what is function ?Mathematics deals with numbers and their variants, equations and related structures, shapes and their locations, and locations where they might be found. A function is an association between inputs and outputs where each input results in a single, unique output. A domain and a codomain, or scope, are assigned to each function. Functions are typically denoted by the letter f. (x). The input is an x. On functions, one-to-one functions, many-to-one functions, within functions, and on functions are the four main categories of functions that are available.
given
Assume that the total calling time is a linear function of the credit left on a phone card (measured in dollars) (in minutes).
m(call time) + b = credit
The function produces a line with a slope of -0.14 when graphed.
After 43 minutes of calls, the card's balance is $26.02 left.
After 32 minutes of calls, there was 26.02 = -0.14(43) + b b = 26.02+6.02 b = 32.04 C(x) = -0.14x+32.04
credit?
C(32) = -0.14(32) + 32.04\sC(32) = $27.56
After 36 minutes of calls, when the function returns a line with a slope of -0.13, there will be $27.56 credit.
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Tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s,
cost $3 each. There were 1,787 people who attended the basketball game and total of
$5,792 was earned in ticket sales.
14. Select the two equations that represent the situation.
A. r + s = = 5,792
B. r + s = 1,787
C.
3r + 4s = 1,787
D. 3r + 4s = 5,792
E.
4r + 3s = 5,792
The two equations that represent the situation are r+s= 1,787 and
4r+3s= 5,792. The solution is obtained using cost function.
What is Cost Function?
A mathematical formula known as a cost function is used to visualise how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.
We are given that 'r' represent the number of reserve seats.
So, if 'r' number of reserve seats are sold, then '1,787-r' represents the number of student tickets sold.
Therefore, we get the equation as,
⇒ s= 1,787-r
⇒ r+s= 1,787
Also, we are given that tickets for a reserved seat, r, for the basketball game cost $4 each and student tickets, s, cost $3 each. Total $5,792 was earned in ticket sales.
Therefore, we get the equation as,
⇒ 4r+3s= 5,792
Hence, the two equations that represent the situation are r+s= 1,787 and
4r+3s= 5,792.
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NO LINKS!!
Please help with these proofs Part 2
Given:
CF bisects BD,∠1 ≅ ∠2To prove CD ≅ BF, we'll first prove the triangles are congruent by AAS as we have one congruent angle pair, there is another pair of vertical angles and congruent sides as part of bisected segment.
Statement Reason
CF bisects BD Given∠1 ≅ ∠2 GivenBE = ED Definition of bisector∠3 ≅ ∠4 Vertical angles are congruent ΔCED ≅ ΔFEB AAS congruence (adjacent angles and not included side)CD ≅ BF CPCTCProvedProblem 6Given:
TR bisects SA,ST ≅ TATo prove ∠S ≅ ∠A, we'll first prove the triangles are congruent by SSS as we have one congruent side pair, one more side is common to both triangles, another side pair is congruent as part of bisected segment.
Statement Reason
TR bisects SA GivenST ≅ TA GivenSR ≅ AR Definition of segment bisectorTR ≅ TR Reflexive property (common side)ΔSTR ≅ ΔATR SSS congruence∠S ≅ ∠A CPCTCProvedFind y coordinate of y intercept of the polynomial f(x)=x(5x+6)
The y-coordinate of the y-intercept of the polynomial is 0
What are polynomials?Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.
The polynomial function is given as;
f(x) = x(5x + 6)
At the y-intercept, the value of x is;
x = 0
Substitute x = 0 in f(x) = x(5x + 6)
f(0) = 0(5 * 0 + 6)
Evaluate;
f(0) = 0
Therefore, the answer of the polynomial function will be 0
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Lila a réussi 19 services sur 34 et Milo 47 services sur 98.
Qui est le meilleur serveur en proportion?
[tex]\it \dfrac{34}{19}=1\dfrac{16}{19}\ \ pourcentage \ \ d'inefficacit\acute e\ \ pour \ \ Lila\\ \\ \\ \dfrac{98}{47}=2\dfrac{4}{98}\ \ pourcentage \ \ d'inefficacit\acute e\ \ pour \ \ Milo\\ \\ \\ Donc,\ \ Lila \ \ \acute etait \ \ plus\ \ efficace[/tex]
Une autre méthode:
[tex]\it \dfrac{19}{34} > \dfrac{47}{98}\ \Leftrightarrow\ 19\cdot98 > 34\cdot47 \Leftrightarrow 1862 > 1598\ \ (Vrai)[/tex]
Pleasee finding the letters in angles
If a 36-inch yardstick casts a 21-foot shadow, how tall is a building whose shadow is
168 feet? (Draw a picture with two similar polygons.)
The ratio of an object's original scale to that of a new, smaller representation is known as the scale factor.
What is meant by scale factor?A scale factor is defined as the ratio of an object's original scale to that of a new, smaller depiction of that object (bigger or smaller).
The scale factor is the amount that is multiplied by the original object to create a replica that is smaller but otherwise identical. The only difference between the copy and the original is its size. As though you had used a copy machine to increase or reduce the image or object, scale factor doubles it.
The ratio between the representation and the real thing is indicated by a scale factor. In order to reduce the actual thing's dimensions, a precise depiction of the object is called a scale drawing.
168 ÷ 21 = 8
The scale factor is 8
36 × 8 = 288
The building exists 288 inches.
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Help please on the pic below
The probability that she catches 2 gold neon tetras is 10/500 or 2%.
What is the probability that she catches 2 gold neon tetras?The probability that an employee randomly catches two gold neon tetras from the tank is 10/300 or 1/30.This is because there are a total of 15 neon tetras, 10 gold neon tetras, and 25 diamond head neon tetras in the tank, for a total of 300 fish. Since there are 10 gold neon tetras, the probability that the employee catches two of them is 10 divided by the total number of fish (300). The probability of the two gold neon tetras being the first two fish caught is even lower.This is because the probability of catching the first gold neon tetra is 10/300, and the probability of catching the second gold neon tetra after the first one is already gone is now 9/299.The probability of both of these events happening is 10/300 multiplied by 9/299, resulting in a probability of 1/870. Therefore, the probability that the employee randomly catches two gold neon tetras is 1/30 or 10/300.To learn more about The probability refer to:
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What color printer prints 11 pages in 6 minutes how many minutes does it take per page
Answer:
11/7 = 1.6
Step-by-step explanation:
11 pages divide 7 1.57 pages
____ = __________
7 minutes divide 7 1 minute
12/1 divided by 1 1/5
Ill give brainliest to the person who answers
The length of AC is equivalent to 10.5 units.
What is scale factor? How it is used in Dilating sides?Scale factor tells us by how much one quantity is greater than the other. It is denoted by K. Mathematically -
K = a/b
Rewriting, we get -
a = Kb
If a side length [a] of any 2 - D figure is dilated by a scale factor of [k], then the length of new side will be [Ka]
Given are the two similar triangles as ΔABC and ΔDEF.
We can write the proportionality between the sides as -
{AB/DE} = {BC/EF} = {AC/DF} = {K} (constant)
{AB/DE} = {AC/DF}
6/4 = x/7
x = (6 x 7)/4
x = 42/4
x = 21/2
x = 10.5
Therefore, the length of AC is equivalent to 10.5 units.
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Can someone help? I’m stuck on these. I only need the ones on the left.
3x - 4y = -14
-3x + 2y = -2
--------------------Adding the two equation we solve for y:
-2y = -16
y = 16/2
y = 8
Now by back substitution, we get:
3x - 4y = -14
3x - 4(8) = -14
3x - 32 = -14
3x = -14 + 32
3x = 18
x = 18
x = 6
Therfore, x = 6 and y = 8
Thus the solution.
What is substitution?A substitute, or substitutable good, in economics and consumer theory refers to a product or service that consumers see as essentially the same or similar-enough to another product. Put simply, a substitute is a good that can be used in place of another.Substitutes play an important part in the marketplace and are considered a benefit for consumers. They provide more choices for consumers, who are then better able to satisfy their needs. Bills of materials often include alternate parts that can replace the standard part if it's destroyed.In economics, products are often substitutes if the demand for one product increases when the price of the other goes up.To learn more about consumers refer to:
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Solve the following word problem by setting up systems of equations: Rob hosted a party last week. He purchased 24 pizzas and 24 sodas for $282.00. This week he purchased 15 pizzas and 8 sodas for $157.00. Determine the cost for each pizza and soda.
Answer:$2.75 for soda 9$ for pizza
Step-by-step explanation: Let p = pizza and s = soda. For the first week, we have the following:
24p+24s = 282
Now, for the next week, we have:
15p + 8s = 157.
We can multiply the equation 15p+8s=157 by -3 which ends up equaling
-45p -24s = -471
Now, we add them.
24p+24s = 282
-45p-24s = -471.
The s cancels out and we have -21p = -189. each pizza costs $9, so each soda costs (157-135)/8 which equals $2.75
Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you.
The thermosphere layer of the atmosphere is between 90,000 and 110,000
meters above sea level. Which of the following elevations are in the
thermosphere? Select yes or no.
a. 9.8 x 10^-4 yes or no
b. 1.04 x 10^5 yes or no
c. 9.72 × 10^4 yes or no
d. 1.45 x 10^5 yes or no
Answer:
b yes c yes
Step-by-step explanation:
9.72 × 10^4 = 97200
1.04 x 10^5 = 104000
ANSWER ASAP GOR BRAINLIEST
Answer:
No solution
Step-by-step explanation:
Both lines have slope -1/3.
The lines are parallel and never intersect.
There is no single point that is on both lines.
Therefore, there is no solution.
Answer: No solution
Answer the picture ?
Answer:
#1 hot dogs and 38 seventh graders, pizza and 32
Step-by-step explanation:
look at the chart
The set of all numbers in the form a plus b i
is called the set of _______ numbers. If b not equals 0
,
then the number is also called a/an _______ number. If b equals 0
,
then the number is also called a/an _______ number.
The set of all numbers in the form a + bi is called the set of complex numbers. If b ≠ 0, then the number is also called a non-real number. If b = 0, then the number is also called a real number.
What is a complex number?Complex numbers are those expressed as a+ib, where a, b, and I are real numbers and I is an imaginary number. An iota complex number is a component of a number system that extends real numbers by a particular element denoted I also known as the imaginary unit.
Imaginary numbers are another name for non-real numbers. A negative number's square root (or any other even root) creates an imaginary component, which is a property of imaginary numbers. The letter i stands for imaginary components.
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What is the vertex form of f(x) = (x-2)(x+6)
Answer:
[tex]y=(x+2)^2-16[/tex]
Step-by-step explanation:
The parade for Martin Luther king Day went in square around downtown.
If the band marched 1,872 yards before their first turn onto Market Street, how many feet was the entire parade route?
PLEASE SHOW FULL WORK AND EXPLAIN HOW YOU THE ANSWER
THANKS FOR YOUR TIME :)
Answer: To find the entire parade route, we need to know how many yards the band marched for each of the four sides of the square and then convert those yards to feet.
If the band marched 1,872 yards before their first turn onto Market Street, it means that they also marched 1,872 yards along each of the other three sides of the square.
So the total distance of the parade route in yards is:
1,872 yards + 1,872 yards + 1,872 yards + 1,872 yards = 7,488 yards
To convert that to feet we need to multiply it by 3, since 1 yard equals to 3 feet.
7,488 yards * 3 feet/yard = 22,464 feet
Therefore, the entire parade route was 22,464 feet long.
Step-by-step explanation:
For safety reasons, the angle a ladder makes with the ground should be no greater than 67°. Find the length to the nearest foot of the shortest ladder that will safely reach a roof that is 25 feet high.
Round to the nearest foot.
The length of the ladder is ______________
The length of the ladder from the ground to roof is 27.173 feet.
What are trigonometric functions?Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given the angle a ladder makes with the ground should be no greater than 67°,
so the angle, Ф ≤ 67°
let us assume the angle to be equal to 67°
height of the roof from the ground is 25 feet,
ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular,
with the sine function, we can find the length of the ladder,
sinФ = perpendicular/hypotenuse
let the length of ladder be x
sin67 = 25/x
x = 25/sin67
x = 25/0.920
x = 27.173 feet
Hence the length of the ladder is 27.173 feet
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what is the decimal that is 1/10 of 0.9
Answer:
1/10 x .9 = .09
Step-by-step explanation:
What is the slope of the line
Answer:
Slope=3/2
(1,-3);(3,0)
Slope = rise/run
0-3 = 3
3-1 = 2
Step-by-step explanation:
Emily misses 25% of the free throws she attempts in a season. How many total free throws did she attempt if she missed 20?
She misses 5 throws.
This problem can be solved by percentage:
25% of 20 throws
= 25/100 × 20
= 1/4 × 20
= 5
Thus, Emily misses 5 throws.
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