Identify the range of the function shown in the graph.

Identify The Range Of The Function Shown In The Graph.

Answers

Answer 1

the range of the function shown in the graph -1 [tex]\leq[/tex] y[tex]\leq[/tex] 1.

What is the sine and cosine graph's range?

All real numbers fall within the domain of the sine and cosine functions. Both the sine and cosine functions have a range of [1,1]. An angle's sine and cosine have the same absolute value as their respective reference angles.

What is a cosine graph's range?

An illustration of the function's range in the graphs of cos and sine

The cosine function's graph appears as follows: The range of the function y=cos(x) is 1y1, and the domain is all real numbers (cosine is defined for any angle measure).

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Related Questions

Josiah bought a new car for $25,000. He did some research and found that the value of his car would depreciate at an average rate of $3,750 per year. The table shows data about the value of his car over the next 4 years.


Number of Years Owned 1 2 3 4

Car Value $ 25000 21250 13750 10000


Express the relation as a set of ordered pairs.


Identify the domain and range of this relation.


Is this relation a function?

Answers

The domain is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is {25000, 21250, 13750, 10000}. The ordered pairs of this function are (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The relation described above can be expressed as a set of ordered pairs by calculating the value of the car for each year based on the depreciation rate. Let's calculate the value of the car for each year:

Year 1: 25000

Year 2: 25000 - 3,750

= 21250

Year 3: 21250 - 3,750

= 13750

Year 4: 13750 - 3,750

= 10000

Therefore, the ordered pairs of this relation are

: (1, 25000), (2, 21250), (3, 13750), (4, 10000).

The domain of this relation is the set of years, which is {1, 2, 3, 4}, and the range is the set of values, which is

{25000, 21250, 13750, 10000}.

This relation is a function because each input (year) is associated with one output (value).

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A water desalination plant can produce 2.8 * 10 to the power of 6 gallons of water in one day. How many gallons can it produce in 5 days?

Answers

Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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Thus , multiplication factor answer is water desalination plant can produce 2.8 x 10⁶ gallons per day. Thus, it can produce 1.4 x 10⁷gallons in 5 days.

What is the difference between factors and multiplies?

A multiple is a number that can be divided by another number a certain number of times without a remainder. A factor is one of two or more numbers that divides a given number without a remainder. Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. In math, multiply means the repeated addition of groups of equal sizes. To understand better, let us take a multiplication example of the ice creams. Each group has ice creams, and there are two such groups.

Here,

So if there was 5 days, it would produce 5 times the amount above.

So 5 × (2.8 × 10⁶) = 14 × 10⁶

We must rewrite in scientific notation, so:

14 x 10⁶ = 1.4 x 10⁷

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write the equation of the line passing through the point (4, -6) with a slope of 1/2?

Answers

Answer:

Step-by-step explanation:

We know that , the equation of line when the slope and the coordinates are given is:

y - y1 = m(x - x1)

where x1 = 4 , y1 = -6 and m = 1/2

therefore, y -(-6) = 1/2(x - 4)

y + 6 = x/2 - 2

6+2 = x/2 - y

8 = x - 2y/2

16 = x - 2y

required equation : x-2y-16=0

The sides of a triangle are 68, 61, and 46. Use the Pythagorean Theorem to determine if the triangle is right, acute, or obtuse.

Answers

The triangle is an acute triangle using the Pythagorean theorem.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

The sides of a triangle are 68, 61, and 46.

Note:

When the sum of the squares of two sides of a triangle is equal to the square of the hypotenuse, the triangle is a right triangle.

When the sum of the squares of two sides of a triangle is less than the square of the hypotenuse, the triangle is an obtuse triangle.

When the sum of the squares of two sides of a triangle is greater than the square of the hypotenuse, the triangle is an acute triangle.

Now,

68² = 4624

46² = 2116

61² = 3721

We see that,

We can never have a right triangle or an obtuse triangle.

The possible combination.

61² + 68² > 46²

61² + 46² > 68²

68² + 46² > 61²


Thus,

The triangle is an acute triangle.

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Kyle earns 11.2% commission on his sales at the electrical retail store. He made sales worth $8571 this month. how much commission has he earned? Give your answer to the nearest dollar.

Answers

Answer:

Sales=8571$

Commission=11.2% of Sales

=11.2/100 × 8571$

=(11.2×8571)/100 $

=959.952$ Which is nearly equal to 960$.

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4/9 down on a number line

Answers

Answer:

Step-by-step explanation:

                                                             !:}

-------------------------------------------------------------------------------------------------------------

0     1/9            2/9                   3/9     4/9        5/9   6/9   7/9   8/9  9/9

Subtract (9x-12)-(5x-7)

Answers

Answer:

Step-by-step explanation:

(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5

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The number 1341 can be written as the sum of three consecutive positive integers. What is the largest of these integers

Answers

x = 448, which is the greatest of these integers.

What are integers ?

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

added together =1341

x +  x-1 + x-2 =1341

3x-3  = 1341

3x = 1344

x = 448

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Select all the as that inequalities that have the same solution as -4x<20

A. -x<5
B. 4x>-20
C. 4x<20
D. X<-5
E. X>5
F. X>-5

Answers

Answer:

A, B, F

Step-by-step explanation:

Divide both sides of -4x<20 by 4, and we have A

Multiply both sides of -4x<20 by -1, since -1 is a negative number, we reverse the inequality, and we have B

Multiply both sides of -x<5 (A) by -1, since -1 is a negative number, we reverse the inequality, and we have F

16 quarts of soil are used to completely fill 5 flower pots. If each pot holds the same amount of soil, how many quarts will each pot hold?

How many quarts of soil are used to fill 3 flower pots?

Answers

9.6 quarts

First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer

how many times bigger is b than c

Answers

B is 10 times bigger than C

Is 9x² 24x 16 a perfect square trinomial?

Answers

9x² + 24x + 16, which is the full quadratic trinomial expressed as (3x +4)².

What is a trinomial expression?

A trinomial expression is an algebraic expression containing three distinct terms, hence the name "trinomial expression". An algebraic expression called a trinomial expression contains three nonzero terms. A trinomial expression is formed when three monomials are added or subtracted from each other. A quadratic trinomial has the form: ax² + bx + c, where a, b, and c are nonzero real values.

Given that

9x² + 24x + 16

= (3x)² + 2(12x) + 16

= (3x)² + 2(3x)(4) + 4²

This is similar to a² + 2ab + b² = (a + b)².

So you can write:

= (3x + 4)²

= (3x +4) (3x + 4)

So this is a complete quadratic trinomial.

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Cooper is a shoe sillesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certain company. Yesterday, Cooper sold 2 pairs of shoes and 10 pairs of boots, earning $160 in commission. Today, he sold 4 pairs of shoes and 10 pairs of boots, earning a total commission of $170. How much does Cooper earn for the sale of each type of footwear?

Answers

The commission from selling each pair of shoe is $5 while that from selling each boot is $15

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

Let x represent the commission earned from selling each pair of shoe and y represent the commission from selling each pair of boot.

Cooper sold 2 pairs of shoes and 10 pairs of boots, earning $160 in commission. Hence:

2x + 10y = 160    (1)

Also, he sold 4 pairs of shoes and 10 pairs of boots, earning a total commission of $170, hence:

4x + 10y = 170    (2)

From both equations:

x = 5, y = 15

The commission from selling each pair of shoe is $5

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PLEASE HELPPP

what is the simplified expression for (picture below)

Answers

Answer:

[B] 6²

Step-by-step explanation:

Given:

[tex]\frac{6^4\cdot \:6^3}{6^5}[/tex]

Solve:

Add the exponents - [tex]6^4 \times 6^3=6^7[/tex]

Now we have - [tex]\frac{6^7}{6^5}[/tex]

Exponent Rule: [tex]\frac{x^a}{x^b}=x^{a-b}[/tex]

Which means - [tex]\frac{6^7}{6^5}=6^{7-5}[/tex]

Subtract the exponent - [tex]6^2[/tex]

Hence, the answer is [B] 6²

RevyBreeze

This is chemistry, but I asked two times when I picked chemistry as the subject, yet no one answered, so I am doing mathematics because this does include math.

Show ALL your WORK and make sure to LABLE all the numbers with the CORRECT UNITS; if you do, I will give you the brainliest:

A: A sample of sulfuric acid has a mass of 15.0 g. How many molecules are in this sample?

B: How many moles of sulfuric acid are present in 45 g of this sample?

C: How much would a .750 mole sample of Ammonium sulfate weigh?

D: What is the mass percent of hydrogen in this sample?

PS: Please do not spam or give the wrong answer; I will report the comment, the "answer', and your account if you do.

Answers

Answers
A = 21 molecules
B = 0.45 moles
C = 99.11475 grams
D = 2.055%

Explanations are below

1. Write the formula for sulfuric acid
H2SO4

2. Find how many g/mol sulfuric acid is
H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. Convert grams to mol
15.0 grams * 1 mol/98.082 = 0.152933259925369 ~ 0.15 mol

3. Convert mol to molecules
0.15 mol * 6.02*10^23 molecules/ 1 mol = 20.769 molecules ~ 21 molecules

B.
1. Convert grams to moles
45 grams * 1 mol/ 98.082 grams = 0.458799779776106 ~ 0.45 moles

C.
1. Write the formula for ammonium sulfate
(NH₄)₂SO₄

2. Find the weight of the formula above
N = 2 * 14.01 = 28.02
H = 8 * 1.008 = 8.064
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
28.02+8.064+32.07+63.99 = 132.153 g/mol

3. Convert mol to grams
0.750 mol * 132.153 g/ 1 mol = 99.11475 grams

D.
1. Find the molar mass of all elements and combined

H = 2*1.008 = 2. 016
S = 1 * 32.07 = 32.07
O = 4 * 15.999 = 63.996

Add the products together
2.016 + 32.07 + 63.996 = 98.082 g/mol

2. To find the mass percent, use the equation molar of element divided by molar mass of the products combined in parentheses times 100.
(2.016/98.082) * 100 —> 0.02055423013397 * 100 = 2.05542301339695 %
This can written as 2.055% since 2.016 has 4 significant figures

A)
Find the product of
f(x)=x²-x-4 and g(x)=x+4
With process

Answers

f(x)=[tex]x^{2}[/tex]-x-4 + g(x)=x+4 = the product is with process [tex]x^2+7 x+8$$[/tex] . It is the solution of f(x) and g (x) .

What do you meant by product ?

[tex]$$f(x)=x^2-x-4, g(x)=x+4: x^2+7 x+8$$$$\begin{aligned}& \text { Find } f \circ g \text { given } f(x)=x^2-x-4, g(x)=x+4 \\& f \circ g=f(g(x)) \\& g(x)=x+4 \\& =f(x+4)\end{aligned}$$$$\begin{aligned}& f(x+4): \quad x^2+7 x+8 \\& =x^2+7 x+8\end{aligned}$$[/tex]

When a number is multiplied by another number, its products can be found. Because 9 x 3 Equals 27, for instance, 27 is a product of 9 and 3. What you get when you multiply two numbers together is their product. As a result, the product of three and four is twelve, followed by five and four, and so on.

A number that is obtained by multiplying two or more other numbers together is referred to in mathematics as a product. For instance, the result of multiplying 2 by 5 is 10 when the two numbers are combined. Byproducts include things like straw from grain harvesting operations, salt from desalination plants, sawdust from sawmills, and manure from feedlot operations.

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What is the degree of the polynomial 7x3 5x 4x5 2x2?

Answers

The degree of the polynomial as calculated from the given data7x³ + 5x + 4x⁵ + 2x² is 5 .

The given polynomial is  7x³ + 5x + 4x⁵ + 2x²

To find the degree of the polynomial we will write the equation down in the descending power of x

which is ,

4x⁵ + 7x³ + 2x² + 5x

Here , the highest power of the variable that appears with nonzero coefficient is 5.

So ,degree of the polynomial is said to be 5.

The hightest power of the variable in a polynomial is known as the degree of the polynomial. A polynomial expression is made up of constants and variables.

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What is the product of 3p and 4p² 5p 7?

Answers

The product of 3p, 4p² and 5p 7 is 120p⁹.

What is product?

Product is an item or thing that is created or produced by a business. It can refer to both physical and intangible items, such as machines, food, software, intellectual property, or services. The concept of a product is used in many different industries, including manufacturing, retail, technology, and finance. Products are typically sold in exchange for money, but can also be given away or traded. Products are an essential part of any business, as they are what generate income for a company.

This can be calculated by multiplying 3p (3 x p) with 4p² (4 x p²) and 5p 7 (5 x p x 7). The result of this multiplication is 120p⁹ (3 x 4 x 5 x p x p² x 7).

To understand this calculation better, we can break it down into its component parts.

The 3p component is 3 x p, which gives us 3p. The 4p² component is 4 x p², which gives us 4p². The 5p 7 component is 5 x p x 7, which gives us 5p 7. When these three components are multiplied together we get 3 x 4 x 5 x p x p² x 7,which is equivalent to 120p⁹.
In conclusion, the product of 3p, 4p² and 5p 7 is 120p⁹.

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What is the answer for x+4.5≥5.5

Answers

Answer:

B. x ≥ 1

Step-by-step explanation:

answer quick its due in ten minutes

Answers

The number of grams of sugar that would be in a 200 ml glass of juice, given the carton, is 13. 2 grams of sugar

How to find the number of grams of sugar ?

In a 250 ml glass of juice, we would see 16. 5 g of sugar. Given this information, we can find the amount of sugar in a 200 ml of juice by using direct proportion.

The amount of sugar in 200 ml of juice is :

= ( Amount of sugar in 250 ml x Quantity of juice ) / Quantity of base quantity of juice

= ( 16. 5 x 200 ) / 250

= 3, 300 / 250

= 13. 2 grams of sugar

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Points E and Flie on a circle, centre O.
The radius of the circle is 10 cm.
The area of the shaded sector is 65cm².
Diagram not drawn to scale
Calculate the size of angle EOF
(3 marks)

Answers

The measure of the angle of the shaded sector with an area of 65 cm² is 74.5°

What is an equation?

An equation is used to show the relationship between numbers and variables.

The area of a two dimensional shape is the amount of space it occupies.

The area of a sector in a circle is given by:

Area = (Ф/360) * π * radius²

Where Ф is the sector angle

Given that sector area is 65 cm², radius is 10 cm, hence:

Area = (Ф/360) * π * radius²

Substituting gives:

65 = (Ф/360) * π * 10²

Ф = 74.5°

The measure of the angle is 74.5°

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solve the following equations graphically
x + y=3 & x-3y= -5

Answers

Answer:

[tex](x,y)\rightarrow(1,2)[/tex]

Step-by-step explanation:

Multiply first equation by 3 to help cancel out the "y" variable:

[tex]\displaystyle \left \{ {{x+y=3} \atop {x-3y=-5}} \right.\\\\\rightarrow \left \{ {{3x+3y=9} \atop {x-3y=-5}} \right.[/tex]

Combine system of equations on both sides:

[tex](3x+3y)+(x-3y)=9+(-5)\\4x=9-5\\4x=4\\x=1[/tex]

Thus,

[tex]x+y=3\\1+y=3\\y=2[/tex]

question: 49a+26+11–3–6

Answers

Answer:

49a + 28

Step-by-step explanation:

Answer:

49a+28

Step-by-step explanation:

49a+26+11–3–6

49a+26+11-9

49a+26+2

49a+28

Brainliest!!!

Teresa wrote this expression to describe the total distance she was going to swim during two swim classes s+3 which situation could be described by this expression

Answers

The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression is (Number/variable, Math Operator, Number/variable)

The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.

And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.

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The complete Question is:

Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?

A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.

B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.

C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.

D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.

A+school+is+going+on+a+trip.+There+will+be+3+buses+to+take+students.+On+each+bus,+there+are+80+seats.+Teachers+will+sit+in+3+of+the+seats+on+each+bus.+How+many+seats+are+available+for+students+on+the+buses? A. 240 B. 231 C. 83 D. 77

Answers

The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

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 number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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Ramona used the regression equation y =. 444x – 21. 29, where x represents height and y represents shoe size, to predict the approximate height of a man who wears a size 8. 5 shoe. 1. Y =. 444 (8. 5) minus 21. 29. 2. Y = 3. 774 minus 21. 29. 3. Y = negative 17. 52. Ramona determined that her answer was incorrect because a man who is –17. 52 inches tall does not make any sense. What was Ramona’s mistake? She substituted the 8. 5 for the wrong variable. She should have added. 444 and 8. 5. The value for y should be positive. The solution of –17. 52 should be the shoe size

Answers

Ramona’s mistake was she just substituted the 8.5 for the wrong variable.

From given conditions:

Ramona used the regression equation y = 444x - 21.29,  

where x represents height and y represents shoe size,

According to Romana her answer is incorrect as a man who is -17.52 inches tall does not predict the approximate height of a man.

The 8.5 refer to shoes size, not height.

So substituting 8.5 for the x-variable is wrong, because x refers to height and y represents shoe size.

Therefore, Ramon just substituted the 8.5 for the wrong variable. She must replace 8.5 for y-variable, because that's the right one for shoe size.

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12. Sarah uses long division to convert
a rational number 2 to a decimal.
P
Which of the following statements
cannot be true?
A. The decimal form of P
q
terminates with a zero in the
tenths place.
B. The decimal form of P
eventually repeats.
C. The decimal form of never
terminates or repeats.
D. The decimal form ofis 0.

Answers

Answer is D. If you’re converting fractions to decimals its always going to be a number, it cant just be zero. I hope this helps

Find the lengths of the diagonals of rectangle WXYZ.
WY = 14x + 10
XZ = 11x + 22
The length of each diagonal is
units.

Answers

The length of each diagonal is √(196x^2 + 816x + 324) units.

What is the formula for diagonal length?

The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.

WX^2 = WY^2 + XZ^2

Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:

WX^2 = (14x + 10)^2 + (11x + 22)^2

WX^2 = 196x^2 + 816x + 324

WX = √(196x^2 + 816x + 324)

The same goes for the other diagonal, WZ.

WZ = √(196x^2 + 816x + 324)

So, the length of each diagonal is √(196x^2 + 816x + 324) units.

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Select the correct answer from each drop-down menu. A picture frame with an area of 60 square inches has a width, w, and a height that is 4 inches greater than the width. Write an equation to represent the area, and solve to find the width. Equation: Of the two solutions, only a width of inches makes sense in the context of the problem. Reset Next

Answers

The width of the picture frame with the given area would be = 3.9in

What is a frame?

A frame is a structure that can be a rectangle or a square shape which is used to display a picture.

The area of the frame = 60in²

The width of the frame = x

The height of the frame = 4x

The area of a rectangle = length×width

That is ; 60 = X × 4x

60 = 4x²

make X the subject of formula;

X = √60/4

X = √15

X = 3.9 in.

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A circular sector has an 8.26-inch radius and a 12.84-inch arc length. There is another sector that has the same area and the same perimeter. What are its measurements

Answers

The dimensions of a different sector with the same area and perimeter are An alternative sector's radius is 6.42 inches. An alternative sector has an arc length of 16.52 inches.

What does an arc's length signify?

The distance between two places along a segment of a curve is known as the arc length.

Sector radius, r = 8.26 inches

Sector arc length = 12.84 inches

Sector perimeter = 2r + length of the arc

The specified sector's perimeter is equal to 2 x 8.26 x 12.84 x 29.36 inches.

The circle's circumference is 2 + 8.26 + 16.52.

The specified circle's area is A = 8.262 * 68.2276.

Sector area, A = 53.0292 inch2

Consequently, we have;

2R plus A equals 29.36 inches

A·R = 53.0292 × 2

that provides;

R² + 53.0292 = 14.68·R

R² - 14.68·R + 53.0292 = 0

using a graphing calculator to factor yields;

(R - 6.42)·(R - 8.26) = 0

R = 6.42 or R = 8.26

R = 8.26 is the measurement for the first sector.

Due to the distinctions between the sectors, we have;

R = 6.42 inches is the radius of the other sector.

The length of the arc, A = 29.36 - 2R

∴ A = 29.36 - 2 × 6.42 = 16.52

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