which function has the greater y-intercept?
y=-x+6 x: -1, 0, 1, 2, 3
y: 7,6,5,4,3

y=2x-3 x: -1, 0, 1, 2, 3
y: -5, -3, -1, 1, 3

Answers

Answer 1

By evaluating in x = 0, we can see that the function with the greater y-intercept is the first one:

y=-x+6

Which function has the greater y-intercept?

For any function y = f(x), we define the y-intercept as the value that y takes when we evaluate the function in x = 0.

For the first function:

y = -x + 6

The y-intercept is:

y = -0 + 6 = 6

While for the second function:

y = 2x - 3

Evaluating in 0 we get:

y = 2*0 - 3 = -3

So the y-intercept of the first function is 6, and the one of the second function is -3.

Then the first function has the greater y-intercept.

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Related Questions

WHat is 5/1 x 4/5 This is a hard one

Answers

5 times 20 equals 1000

4

Step-by-step explanation:

[tex]{ \tt{ \frac{5}{1} \times \frac{4}{5}}} [/tex]

[tex]{ \tt{ \frac{5 \times 4}{5}}} [/tex]

[tex]{ \tt{ = \frac{20}{5}}} [/tex]

[tex] = { \green{ \boxed{ \pink{ \sf{4}}}}}[/tex]

Select all true statements (pick 3)
A. ∠3 ≅ ∠2 because they are alternate interior angles.
B. m∠1 + m∠3 = 180 because they form a straight angle.
C. ∠3 ≅ ∠6 because they are alternate interior angles.
D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.
E. ∠1 ≅ ∠3 because they are vertical angles.

Answers

Examining the figure, the correct options are

B. m∠1 + m∠3 = 180 because they form a straight angle.C. ∠3 ≅ ∠6 because they are alternate interior angles.D. ∠1 and ∠6 are supplementary because ∠3 ≅ ∠6 and m∠1 + m∠3 = 180.

What are congruent angles?

Two angles are said to be congruent when they are equal to each. The symbol to represent congruency is ≅

The following angles are congruent in the figure

∠3 ≅ ∠6 alternate interior angles.∠2 ≅ ∠6 corresponding angles

When are corresponding angles said to be equal ?

Corresponding angles refers to angles that are in a position that are in matching position to another angle.

Corresponding angles are said to be equal when there are parallel lines intersected across by a line called transversal line.

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Deshaun drove 469 miles in 7 hours.
At the same rate, how long would it take him to drive 335 miles?

Answers

We're assuming Deshaun is driving at a constant speed/at the same rate,

He drove 469 miles in 7 hours -> his speed = 469 : 7 = 67 (mph)

Therefore, it would take him 335 : 67 = 5 hours to drive 335 miles.

Write the slope-intercept form for the equation of a line with slope m = -9 and y-intercept (0, 5).
The equation of this line is

Answers

The equation of the line is ,y= -9x+5.

What is an equation?A mathematical equation is a formula that uses the equals symbol (=) to connect two expressions and express their equality. A well-formed formula consisting of two expressions linked by an equals sign is considered to be an equation in English, but the word's cognates in other languages may have slightly different definitions. For instance, an équation is defined as having one or more variables in French.Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations.

Acc to our question-,

We should use the slope-intercept formula to solve this problem.

The point-slope formula states:= [ y = mx + c]

Where m is the slope and c is the y-intercept for the point (0,y1)

Substituting the information provided we get the equation: y= -9x+5.

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Represent the following expressions as a power of the number a where a ≠ 0.: (a^3)^-2

Answers

1/[tex]a^{6}[/tex] is the required number.

What is an expression?

Numbers, symbols and operators (such as and times) grouped together that show the value of something.

Given an expression (a³)^-2

(a³)^-2 = [tex]a^{-6}[/tex] = 1/[tex]a^{6}[/tex]

Hence, 1/[tex]a^{6}[/tex] is the value of the expression (a³)^-2

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Graph the given equation by evaluating integer values of x from −2 to 2 and plotting the resulting points
y= _2x_1

Answers

The graph of the linear equation can be seen in the image at the end.

How to graph the equation?

Here we have the linear equation:

y = -2x - 1

To graph this, we need to evaluate from x = -2 to x = 2, this means replacing the value of x by the correspondent number.

if x = -2, then:

y = -2*(-2)  - 1 = 4 - 1 = 3

So we have the point (-2, 3)

if x = -1

y = -2*-1 - 1 = 2 - 1 = 1

We have the point (-1, 1)

If x = 0

y = -2*0 - 1 = -1

We have the point (0, -1)

If x = 1

y = -2*1 - 1 = -3

We have the point (1, -3)

If x = 2

y = -2*2 - 1 = -5

We have the point (2, -5)

Now we just need to graph these 5 points on a coordinate axis and then connect them with a line, the graph of the linear equation can be seen below.

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Notebook paper is about 0.003 in. thick. If you cut a sheet of paper in half, stack one piece on top of the other, cut those in half, stack all the pieces together, repeating this process 20 times, how high will the stack of paper be?

Answers

Answer:

765

Step-by-step explanation:

The formula for simple interest is I=Prt,I=Prt, where II is the interest earned, PP is the principal, rr is the interest rate and tt is the number of years. Solve the formula for PP in terms of r,r, II and t.t.

Answers

Answer:

[tex]P=\cfrac{I}{rt}[/tex]

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

Given

I = Prt

Solve for P

[tex]I = Prt[/tex][tex]\cfrac{I}{rt} = \cfrac{Prt}{rt}[/tex][tex]\cfrac{I}{rt} =P[/tex][tex]P=\cfrac{I}{rt}[/tex]

answer is t = I/pr feel free to press the heart button if it’s correct

We want 3 pizzas, each topped with 0, 1, 2, 3, 4, 5, or 6 of 6 available whole-pie toppings. How many different combinations of 3 such pizzas are possible if different pizzas need not have different toppings?

Answers

Yeahhhhhhhhhhhhhhhhhhhhhhhhhhhh

Please help me thank you :))))

Answers

Answer: y= (2/3)x - 2

Step-by-step explanation:

The biggest way to remember equations like these is to know rise over run which means however many times it goes up until it intersects with both x and Y will be on the top of the fraction and however many times it goes to the right until it intersects with both x and y will be on the bottom of the fraction. So since it hits (0, -2) then intersects at (3,0) it will be 2/3x and the Y is where X equals zero so it would be -2. Hope that helps!

Answer:

y  =  [tex]\frac{2}{3}x - 2[/tex]

Step-by-step explanation:

Step 1:

Choose two points on the graph, (x1, y1) and (x2, y2), to find the slope.

Find the ratio between change in y-values and change in x-values.

m = (y2 - y1) / (x2 - x1)

Points I picked:

(x1, y1) = (0, -2)

(x2, y2) = (3, 0)

Then,

m = (0 - (-2)) / (3 - 0)

m = 2/3

Step 2 :

Find the y-intercept from the graph. That is the point at which the line intersects the y-axis.  

The y-intercept is -2.

b  =  -2

Step 3 :

Use the slope (m) and y-intercept (b) to write the equation in slope-intercept form:

y = mx + b

Substitute m = 2/3 and b = -2

y  =  2/3 x - 2

Franks’s annual salary is $80000. About 25% of her salary is deducted for taxes.

How much tax is deducted?
Explain.

Answers

$20,000 of tax is deducted because 25% is equivalent to 1/4 so you just divide 80,000 by 4 since you’re trying to find 25% of 80,000.

-8 What is 9.15 x 10°° written in standard form?​

Answers

The value of the number 9.15 x 10° written in standard form is equal to 9.15.

As given in the question,

Given number is equal to :

9.15 x 10°

Given number 9.15 x 10°  is written in standard form.

The value of the given number 9.15 x 10°  written in standard form is given by:

9.15 x 10°

Here 10° = 1

Using property of number: Any number raise to zero is always equal to 1.

9.15 x 1

Using Multiplicative identity , number multiply to 1 remain number itself.

= 9.15

Therefore, the value of the number 9.15 x 10° written in standard form is equal to 9.15.

The complete question is:

What is the value of 9.15 x 10° written in standard form?​

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What must the value of x be in order to prove that
AEFG a AEHG by SSS?

Answers

The value of x will be= 90 degress.

What are angles?When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.

acc to our question-

triangle 1= traingle290=90. perpendicularwith the help of sas propertyboth angles are equal.

hence,The value of x will be= 90 degress.

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Two sides are labeled 5,244 feet. The other two sides are labeled 1,495 feet. What is the perimeter to the nearest hundred?

Answers

Answer:

Step-by-step explanation:

42feet

Find the distance from the point (1,2) to the line-y= 1/2x-3. Round your answer to the nearest tenth.

Answers

Answer:

the graphical explanation please

A fisherman catchs 12 fish in 5 days. How many fish does he get in
5 + x days?

Answers

( 60+12x )/5 fish fisherman will catch in 5+x days .

What is unitary method ?

The unit method is a method of solving a problem by first obtaining the value of a single unit,  then multiplying the value of the single unit to obtain the necessary value.

Assume you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value. Knowing the units and values ​​is important when solving problems using unitary methods.

For simplicity, always write what you calculate on the right and what you know on the left. In the problem above, we know the amount of apples, but we don`t know the value of the apples. Note that the concept of ratio and ratio is used for problems related to this method.

Calculation

5 days ------------> 12 fish

1 day --------------> 12/5 fish

5 + x days --------------> 12/5 x (5+x)

                                   = ( 60+12x )/5 fish

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algebra help pleaseee

Answers

Answer:

3x^2-2x+3+1/x+2

Step-by-step explanation:

In triangle GHJ, K(8,6) is the midpoint of GH, L(2,2) is the midpoint of HJ, and
M(10,4) is the midpoint of GJ. Find the coordinates of G, H, and J.

Answers

The coordinates of G(4, 4) , H (0, 2),  J(8, 0)

In order to construct the three sets of relationships between the coordinates of each triangle's three sides' ends and the shared midpoint, we must first set up the three sets of relationships.

G(x(G), y(G))

K(2, 3) (2, 3)

M(6, 2) (6, 2)

H(x(H) and y(H))L (4, 1)

J(x(J), y(J))

K(2, 3) at the midway of side GH

According to the x-component:

x(H) = x(G - x(H))/2

x(G)-[x(H)-x(G)] = 2*x(H)

x(H) + x(G) = 4

x(H) = 4 - x(G) (G)

According to the y-component:

y(H) plus [y(G) - y(H)]/2 = 3.

2*y(H) plus [y(G-y(H)] = 6

y(H) + y(G) = 6

y(H) = 6 - y(G) (G)

Midpoint L(4) and side JH(1):

According to the x-component:

(x(H) + [x(J) - x(H)]/2) equals four.

2*x(H) plus [x(J)-x(H)] = 8

x(H) + x(J) = 8

x(H) = 8 - x(J) (J)

According to the y-component:

y(H) = y(J - y(H)]/2 + y(J) = 1

y(J) - y(H) = 2*y(H)

y(H) + y(J) = 2

y(H) = 2

Side GJ with M(6, 2) as the midpoint:

For the x - component, the formula is: x(J) = [x(G) - x(J)]/2 = 6 2*x(J) = [x(G)- x(J)] = 12 x(J) = 12 - x (G)

y(J) + [y(G) - y(J)]/2 = 2 2*y(J) + [y(G)- y(J)] for the y-component. = 4 y(J) = 4 - y + y(G) = 4 y(J) (G)

The x and y coordinates may now be easily separated, and we can use algebra to isolate each one and determine its location.

x(H) = 4 - x(G), 8 - x(J), and 12 - x(J) (G)

Because x(H) = x (H)

4 - x(G) = 8 - x(J) (J)

8 - x(J) - 8 - x(G) - 4 = -x(J) x(J) x(J) = 4 + x (G)

Using 1.c above and this relationship now x(J) = x(J), so:

-2 * x(G) = -8 x(G) =, 4 12 - x(G) = 4 + x(G) 12 - x(G) - x(G) - 12 = 4 + x(G) - x(G) - 12

Given that x(J) = 4 + x(G) above, x(J) = 4 + 4 = 8 and x(H) = 4 - x(G) = 4 - 4 = 0 respectively.

Let's now perform the identical procedure using the y-coordinates.

y(H) = 6 - y(G), y(H) = 2 - y(J), y(J) = 4 - y(G),

and since y(H) = y(H), 6 - y(G) = 2 - y(J), -y(G) = 2 - y(J) - 6 = -y(J) - 4 y(G) = y(J) + 4 Now that y(J) = 4 - y,

we may substitute (G).

y(H) = y(G) - 2 and y(H) + 4 - y(G) = 2

and y(H) + 4 - y(G) = 2 - 4 and y(G)

Since y(H) = 6 - y(G)

according to 1. above, y(H) = y(G) - 2 + 6 - y(G) 2 * y(H) = 4 y(H) = 2 y(H) = 2 - y(J) 2 = 2 - y(J) y(J) = 4 - y(G) 0 = 4 - y(G) y(G)

H(x(H), y(H)), G(x(G), y(G)), and J(x(J), y(J)) are the results.

To determine the coordinates of the angles or triangle's tips, we used the midpoints of each side.

The coordinates are: H (0, 2) G(4, 4) J(8, 0)

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The graph of the absolute value parent function, f(x) = |x), is stretched
horizontally by a factor of 3 to create the graph of g(x). What function is g(x)?
OA. g(x)= x+3|
OB. g(x) = 31x1
C. g(x) = 13x1
OD. g(x)= |||

Answers

Option A is the correct answer g(x) = |x+3| by using the relation with the parent function.

Explain absolute value function.

A function that wraps an algebraic expression in absolute value symbols is known as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value.

The definition of the absolute value parent function, f(x)=| x |, is as follows:

f(x) = [tex]\left \{ {{x ~, ~ x > 0} \atop {0 ~ , ~x = 0}} \atop {-x ~, ~x < 0} \right.[/tex]

Given parent function is f(x) = |x|

g(x) is obtained by stretching the graph of f(x) by a factor of 3.

Use the function g(x)=f(x−h) to translate the absolute value function f(x)=| x | horizontally.

The graph of f(x) is moved h units to the right to obtain g(x) for h>0

The graph of f(x) is translated h units to the left to obtain g(x) when h>0

Therefore, g(x) = |x+3|

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five friends shared 8 1/3 pounds of apples equally. How many pund of apples do each of them get

Answers

Answer:

A fruit seller buys 712 fruits of which 3/4 are apples. The apples that he bought 1/3 were found to be rotten if he sold all the good apples at Rs.5 1/4 each.

Step-by-step explanation:

A new gaming chair costs $309.99. You have already saved $131.49 and earn $25.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

25.5w − 131.49 = 309.99; w = 17
25.5 + 131.49w = 309.99; w = 7
25.5w − 309.99 = 131.49; w = 17
25.5w + 131.49 = 309.99; w = 7

Answers

The linear equation we need to solve is:

$25.50*w = $309.99 - $131.49

And the solution is w = 7.

How to write and solve the equation?

We know that the cost of the gaming chair is $309.99.

To buy this, you already have saved $131.49, and save another $25.50 per week, then the amount you have after w weeks is:

f(w) = $131.49 + $25.50*w

So the linear equation we need to solve is:

$131.49 + $25.50*w = $309.99

To solve this we need to isolate w.

$131.49 + $25.50*w = $309.99

$25.50*w = $309.99 - $131.49

w = ($309.99 - $131.49)/$25.50 = 7

So they can buy the chair after 7 weeks.

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A rectangular tank with a square​ base, an open​ top, and a volume of 37044 ft^3 is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

Answers

The dimensions of this rectangular tank that has the minimum surface area are 42 feet and 21 feet.

How to calculate the dimensions of the tank that has the minimum surface area?

First of all, we would determine the surface area of this rectangular tank with a square​ base by using this formula:

h = V/s²

Where:

h represents the height of a rectangular tank.s represents the side of the square base.V represents the volume of a rectangular tank.

For the surface area of this rectangular tank with a square​ base, we have:

Surface area, A = base area + 4(lateral area)

Surface area, A = s² + 4(s × h)

Surface area, A = s² + 4(s × V/s²)

Surface area, A = s² + 4V/s

Next, we would take the first derivative of the surface area as follows:

A' = 2s - 4V/s²

Substituting the given parameters into the formula, we have;

A' = 2s - 4(37044)/s²

For the minimum surface area dimension, the first derivative of the surface area would be equated to zero:

2s - 148,176/s² = 0

148,176/s² = 2s

148,176 = 2s³

s³ = 74,088

s = ∛74,088

s = 42 feet.

For the height, we have:

Height, h = V/s²

Height, h = 37044/42²

Height, h = 37044/1764

Height, h = 21 feet.

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PLEASE HELP!!!! I WILL GIVE YOU BRAINLIST!! PLEASE ASAP :)

Which graph shows the image of ΔABC after a rotation about the origin?

Answers

Answer:

D.

Step-by-step explanation:

just click the rotate button until it matches one of the answers

In a set of eight consecutive integers, the smallest integer is more than $\frac35$ of the largest integer. What is the smallest possible value of the sum of the eight integers?

Answers

Answer:

116.

Step-by-step explanation:

Your welcome <3.

Answer:

116

Step-by-step explanation:

PLEASE HELP ASAP!! Represent the following expressions as a power of the number a where a≠0.

(a^3)^-2
(a^-1 • a^-2)^-3
((a^2)^-2)^2

Answers

After using the property of power, the expressions as a power of the number a is [tex](a^3)^{-2} = a^{-6}[/tex] , [tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex] and [tex]((a^2)^{-2})^2=a^{-8}[/tex] .

In the given question we have to solve the given expressions as a power of the number a where a≠0.

The first given expression is [tex](a^3)^{-2}[/tex].

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

Simplifying the expression.

[tex](a^3)^{-2} = a^{3*(-2)}[/tex]

[tex](a^3)^{-2} = a^{-6}[/tex]

The second expression is [tex](a^{-1}\cdot a^{-2})^{-3}[/tex]

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(-1)\times(-3)}\cdot a^{(-2)\times(-3)}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{3}\cdot a^{6}[/tex]

Using the property of sum of power [tex]a^m\cdot a^n=a^{m+n}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{(3+6)}[/tex]

[tex](a^{-1}\cdot a^{-2})^{-3} = a^{9}[/tex]

The third expression is [tex]((a^2)^{-2})^2[/tex].

Using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex]((a^2)^{-2})^2=((a^2)^{(-2)\times2})[/tex]

[tex]((a^2)^{-2})^2=(a^2)^{-4}[/tex]

Again using the property of multiplication of power; [tex](a^m)^n=a^{mn}[/tex].

[tex]((a^2)^{-2})^2=a^{2\times(-4)}[/tex]

[tex]((a^2)^{-2})^2=a^{-8}[/tex]

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Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.

Answers

Martin had 6 magazines. Then m more magazines came in the mail. Write an expression that shows how many magazines Martin has now.

Martin now has: 6 + m

HELP! Recursive and explicit growth problem

Answers

The populations, considering an exponential function, are given as follows:

P(1) = 19.2.P(2) = 23.04.P(12) = 142.66.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the variables of the function are:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In this problem, the parameters are given as follows:

A(0) = 16, r = 0.2.

Hence the function, written as P(t), is:

[tex]P(t) = 16(1.2)^t[/tex]

The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:

P(1) = 16 x (1.2)¹ = 19.2.P(2) = 16 x (1.2)² = 23.04.P(12) = 16 x (1.2)¹² = 142.66.

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What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

Answers

The slope of a line KH if H(-4, 2) and K(2, -2) is -2/3.

What is a slope?

A mathematical word used to define a line's direction and steepness is its slope or gradient.

If a line is rising from left to right, it is growing. The slope is positive, or m>0

If a line decreases from left to right, it is said to be diminishing. The slope is negative, indicating that m < 0

A line has zero slopes if it is horizontal. This function is constant.

The slope of a line is y - y₁ = m(x - x₁)

Slope m = (y₂ - y₁)/(x₂ - x₁)

m = (- 2 - 2)/(2 + 4)

m = - 4/6

m = - 2/3

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he residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 4 to 7 if there was a 5918 total votes how many yes votes were there

Answers

There is a total of 2152 yes votes

How to determine the number of yes votes?

From the question, the statement is given as

The ratio of yes votes to no votes was 4 to 7

Mathematically, this can be represented as

Ratio = 4 : 7

Alternatively, we have

Yes : No = 4 : 7

Express the ratio as fraction

Yes = Yes/Yes + No

So, we have

Yes = 4/4 + 7

Evaluate the sum

Yes = 4/11

From the question, we have

Total votes = 5918

So, we have

Yes = 4/11 * 5918

Evaluate

Yes = 2152

Hence, the number of yes votes is 2152

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If I earn $11 /hr. I worked for 6 and a half hrs yesterday, How much did I earn?

Answers

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

Define hours.

An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.

Given,

Earns $11/hr

Worked for 6 hours and 30 minutes

Multiplying:

$11 × 6.5 hours

$ 71.5

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

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