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The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

What is Arc of circle?

The arc of circle is defined as the segment of the circumference of a circle.

Given that;

Central angle = 65°

Radius of a circle = 10 feet.

Now, To find arc of circle, we change measure of angle in radian as;

1 degree = π/180 radian

65 degree = 65 x π/180 radian

65 degree = 1.134 radian

Since, Arc = Angle x radius

Arc = 1.134 x 10

Arc = 11.34 feet.

Thus, The arc corresponding to a central angle of 65 in a circle of radius 10 feet measures 11.34 feet.

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Answer:

See below

Step-by-step explanation:

x-axis intercept occurs when y = 0

5x + 2(0) = 6

x = 6/5

y axis intercept occurs when x = 0

5(0) + 2y = 6

y = 3

Answer:

This is a linear function and you have to rewrite the equation to the standard form y= mx+q, so y= -4x + 3 where -4 is m and tells you the slope of the function while 3 tells you where it intercepts the y axis. Now you have to write the points of the function taking some x values and obtaining the relative y. For example if x is 0 then y= 3-4(0) which is equal to 3. If x is 1 y is -1, if X is 2 then y is -5 and you continue like that until you want. However, to draw the line you could just stop to two points.

The ratio of the area of the original photo to the area of the enlarged photo is 2.253

What is rectangle ?

It is a common geometrical shape having 4 sides and four vertices and each side making 90 degree with the adjacent side.

Surface area of rectangle is given as :

s = 2(lb+bh+hl)

Volume of rectangle is given as :

V= lbh

Area of rectangle is given as ;

A = lb

If a rectangular photo measures 18cm by 7cm initially, the area of the photo before enlargement will be expressed as :

A1 = Length * breadth

A1 = 18 x 7

A1 = 126 cm²

If the photo is enlarged in the ratio 2:3 then increase/decrease in length and breadth will be :

2 : 3 = 2/3 = 0.66

This is 33% decrease of its dimensions’ measurements.

Length of the photo after decrement = 18 x 2/3 = 12 cm

breadth of the photo after decrement = 7 x 2/3 = 4.66 cm

Area of the decreased photo A2 = 12 x 4.66 cm² = 55.92 cm²

The  ratio of the area of the original photo to the area of the enlarged photo = A1/A2 = 126 / 55.92

= 2.253

Therefore, the ratio of the area of the original photo to the area of the enlarged photo is 2.253.

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1) Let's find the slope plugging those points into that formula:

Since we have a linear equation, with its linear coefficient "b" = 0, then we can write this function as y=15x

m=15

So the money earned increases by $ 15 for each hour worked

Carson will make $686.25 in a week.

This problem can be solved by using percentage.

Percentage is the measure of a quantity with respect to its whole.

Given,

The total salary of Carson in a week is = $450

Also he gets a commission of 15% on making sales for a week.

In a week he makes a sales of $1575.

Commission for this week = 15% of 1575

                                           = $236.25

Total salary for this week = 450+236.25

                                          = $686.25

So, Carson will receive the above amount in a week as his salary.

Hence, Carson will make $686.25 in a week.

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Answer:

2 zeros

Step-by-step explanation:

600 has 2 zeros and 8 has no zeros. 0+2= 2. 2 zeros

Question:

Solution:

Consider the following functions:

and

a) f(-3):

if we evaluate the function f at x = -3, we get:

so that, the correct answer is:

b) g(4):

if we evaluate the function g at x = 4, we get:

so that, the correct answer is:

c) f(3)*g(3):

Step 1: evaluate f at x = 3:

Step 2: evaluate g at x = 3:

Step 3: multiply f(3) and g(3):

so that, we can conclude that the correct answer is:

Answer:

168=18·x+12·2x

Step-by-step explanation:

try and split the shape into 2 rectangles to picture it .

Answer:

The feasible region is bounded by the corner points:

Step-by-step explanation:

Given constraints:

[tex]\begin{cases}x \geq 0\\y \geq 0\\4x+2y \leq 40\\2x+4y \leq 32\end{cases}[/tex]

Rewrite the third and fourth inequalities to isolate y:

[tex]\begin{aligned}\implies 4x+2y & \leq 40\\2y & \leq -4x+40\\y & \leq -2x+20\end{aligned}[/tex]

[tex]\begin{aligned}\implies 2x+4y & \leq 32\\4y & \leq -2x+32\\y & \leq -\dfrac{1}{2}x+8\end{aligned}[/tex]

When graphing inequalities:

Therefore:

The feasible region is the set of all possible values of the variables which satisfy the constraints.  

Therefore, the feasible region is bounded by the corner points:

Answer:

5 ft/sec

Step-by-step explanation:

I don't see a question, but I'll assume it wants the speed of the scooter, in feet/sec.

(30 feet0/(2 seconds) = 15 ft/sec

The equation of line perpendicular to the given line is 5x - y = - 18 OR y = 5x + 18

Given: The line y = 5x + 6 and it passes through the point ( -3, 3)

And we know the general equation of line is y = mx+c

On comparing the above mentioned two equations we get;

m = 5 that is slope is 5.

Also to find a equation of line perpendicular to the given line

we know the general equation

that is y - y₁ = m ( x - x₁ )

y - 3 = 5 ( x - ( -3) )

y - 3 = 5 ( x + 3 )

On further calculating we get

y - 3 = 5x + 15

5x - y = - 18 Or y = 5x + 18

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Answer:

b step 2 is incorrect answer

Answer:

69420

Step-by-step explanation:

2 +2 is 4 minus 1 that's 3 quick math

Answer: Volume = 192

Step-by-step explanation:

Volume of Rectangular Prism = Length x Width x Height

Volume = 8x3x8

Volume = 192

If Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

The guaranteed wage she earn = $40

The amount she earn for each table she waits as tip = $14

Part 1

The number of table she waits on = 17 tables

Then the amount she earn in a day = The guaranteed wage she earn +The amount she earn for each table she waits as tip × The number of table she waits on

= 40+14×17

= 40+238

= $278

Part 2

The number of table she waits on = t tables

Then the amount she earn in a day = 40+14t

Hence, if Keilantra will make a guaranteed wage of $40 and she will get about $14 in tips for each table she waits on,

Part 1

If Keilantra waits on 17 tables, the she will earn $278

Part 2

If Keilantra waits on t tables, the she will earn 40+14t

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B (second option)

characters characters characters

Answer:

B

Step-by-step explanation:

I cannot see option D but regardless, C is a function for the following reasons

A function y = f(x) is a relationship in x such that f(x)  has only 1 value for a value of x.

In A, we see that for x = -1 we have y = 2 and y = 4 for a single value of x = -1

That alone is sufficient to dismiss this as a function. If that wasn't bad enough you see that y = -3 and -4 for x = 2

In C we see the same problem
For x = 5 there are two value of y = -3 and -2
So we can disregard C

In B we can see a definite pattern
Between x = -2 and x = 0 we see that y increases by 1 unit for every increase of 1 unit in x. This is a linear relationship with a slope of + 1

Between x = 0 and x = +2, for every increase of 1 unit in the x-value, the y-value decreases by 1 unit. This is also a linear relationship but with a slope of -1

In particular this is what is known as a piecewise function. Its function expression is different for different intervals of x value

It can be expressed as follows
f(x) =    x + 2 for -2 ≤ x ≤ 0
     =   -x + 2  for 0 ≤ x ≤ 2

The area ratio is 100:49.

The ratio of areas equals the ratio of squares of matching sides.

Let's put this fraction of comparable ratios into an equation and then input in our two known values to get our two unknown values:

(10)2 : (7)2 = 100 : 49

The ratio of two identical figures areas is equal to the square of the ratio of their corresponding sides.

For instance, if the ratio of the respective widths of two comparable rectangles is 2:3, the ratio of their areas is

22:32=4:9: 2 = 4: 9

Hence the ratio of the areas is 100 : 49

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Answer: Where is the picture

Step-by-step explanation:

Answer:

y = 5/9

Step-by-step explanation:

   To simplify the expression, isolate y. To isolate y, divide both sides by 2.

 [tex]\sf 2y =\dfrac{10}{9}\\\\\text{Divide both sides by 2,}\\\\y = \dfrac{10}{9*2}\\\\y=\dfrac{5}{9}[/tex]

Using the concept of unit rate we calculate the cost of mowing 6 laws as $150 .

Rates and ratios frequently vary with regard to time, geography, a particular object (or group of objects), etc. They are typically mathematical functions as a result.

The charge to mow one lawn is $25 . This is the unite rate of the lawn.

Therefore the charge for 6 lawns is  = $25 × 6 = $150

Hence the cost to mow 5 lawns is $150.

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Karina use fabric for each bag is 2.5 yards.

The unitary method is a process of finding the value of a single unit, and based on this value; we can find the value of the required number of units.

Given that,

Karina has 10 yards of fabric, she makes 4 equally sized bags

fabric does she use for each = [tex]\frac{10}{4}[/tex]

                                               = 2.5 yards

It means, Karina use fabric for each bag is 2.5 yards.

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The number of Students enrolled in US universities & Colleges in 2017 will be 20, 460,000

Mathematical formulas can be used to solve issues or situations in the real world thanks to the area of mathematics known as algebra. To create a valid mathematical expression, you need variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Calculus, trigonometry, and coordinate geometry are just a handful of mathematics subjects that use algebra. A simple algebraic equation is 2x + 4 = 8. Operations on variables and constants, such as addition, subtraction, multiplication, and division, result in algebraic expressions.

Students' enrollment in US universities

in 1980 = 12, 400, 000

In 2017 the percent increase = 65%

So,

65% of 12, 400,000

= 12,400,000 X 65%

= 8,060,000

The number of Students enrolled in US universities & Colleges in 2017 will be

= 12, 400,000 + 8,060,000

=20, 460,000

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Answer:

X > -1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve the inequality step by step:

Given inequality:

-3x + 3 < 6

Subtract 3 from both sides:

-3x < 3

Now, divide both sides by -3. When dividing by a negative number, remember to reverse the inequality:

x > -1

The correct answer is: The graph shows a number line with an open circle at negative one and shading to the right. (Option B)

Have a great day!

The solution to the equation of the graph are represented below

To solve this problem, we simply need to use a graphing calculator to plot the graph of the straight line.

The points of at which they touch both x- axis and y-axis are highlighted in the graph.

The first equation is represented by the graph with red line while the second equation is represented by the graph with blue line.

Kindly find the attached solution as graph below

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Length of paper left is 5 m.

What is length?

Distance is measured by length. Length is a quantity having the dimension distance in the International System of Quantities. Most measuring systems use a base unit for length from which all other units are derived. The metre is the basic unit of length in the International System of Units (SI). The greatest extended dimension of a stationary item is typically believed to be its length. This is not always the case, as it may depend on the location of the item. Height, sometimes known as vertical length or vertical extent, and width, breadth, or depth are all words used to describe the length of a stationary object. When length is the longest dimension, width or breadth generally refer to the shorter one.

Length of paper left = 20-(1.5x10) = 20-15 = 5 m.

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The solution for the system of linear equations y = 5 − x and 4x + 2y = 10 are x = 0 and y = 5

Linear equations are equations that have constant average rates of change.

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y = 5 − x

4x + 2y = 10

Substitute y = 5 − x in the equation 4x + 2y = 10

So, we have the following equation

4x + 2(5 - x) = 10

Open the brackets

4x + 10 - 2x = 10

Evaluate the like terms

2x = 0

Divide through by 0

So, we have

x = 0

Substitute x = 0 in y = 5 - x

y = 5 - 0

Evaluate the like terms

y = 5

Hence, the solution of the equations are x = 0 and y = 5

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Answer: all real numbers

Step-by-step explanation:

-2(-2x + 3) = 4x - 6

distribute the -2

4x - 6 = 4x - 6

add 6 to both sides

4x = 4x

x = all real numbers

Answer: -3

Step-by-step explanation:

The slope can be calculated by the equation

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

So choosing any two points, we can find the slope.

I'll chose (0,3) and (2,-3).

-3 - 3 = -6

2 - 0 = 2

So, the slope is -6/2 which simplifies to -3.