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Answer:

Step-by-step explanation:

Given

Leg =  10

Leg = 6

hypotenuse = ?

equation

c^2 = a^2 + b^2

a = 10

b = 6

Solution

c^2 = 10^2 + 6^2                  Expand

c^2 = 100 + 36                     Combine

c^2 = 136                              Take the square root of both sides

√c^2 = √136

c = 11.66

answer

hypotenuse = 11.66

Answer: 6.5, 6.25, 6.05, 6.007

Step-by-step explanation:

We need to look at each place value to see which one is the biggest. Since the units place is the same for all the numbers, let's look at the tenths place.

6.5, 6.25, 6.05, 6.007

Since 5 is the biggest number out of all that are underlined, 6.5 is the biggest one, and goes first.

2 is the second biggest number out of all that are underlined, so 6.25 goes second.

However, there are 2 numbers that have 0 in their tenths place, so we need to go one place value further: the hundredths place.

6.05, 6.007

Since 5 is bigger than 0, 6.05 goes third. 6.007 is the only number left, so it goes last.

Hence, the order is 6.5, 6.25, 6.05, 6.007

The average rate of change for this function for the interval from x = 1 to x = 3 is 3

The average rate of change is calculated as:

m = (f(b)- f(a))/(b - a)

The interval is given as:

x = 1 to x = 3

From the table of values, we have:

f(1) = 7

f(3) = 13

So, we have:

m = (13-7)/(3-1)

Evaluate

m = 3

Hence, the average rate of change for this function for the interval from x = 1 to x = 3 is 3

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Answer:

I.Q.R = 11 - 3

I.Q.R = 9

the interquartile range = 9

The solution of x is x = 0, x =2 and x = -5

The equation is given as:

2x^3+6x^2-20x=0​

Factor out x

x(2x^2+6x-20)=0​

Split the equation

x = 0 or 2x^2+6x - 20=0​

Solve for x in 2x^2+6x - 20=0​

Expand the equation

2x^2 + 10x - 4x - 20 = 0

Factorize the equation

(2x - 4)(x +5) = 0

Split the equation

2x - 4 = 0 and x + 5 = 0

Solve for x

x =2 and x = -5

Hence, the solution of x is x = 0, x =2 and x = -5

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it gotta be cheese fries fa sho

Answer:

$55

Step-by-step explanation:

so, we know that each day the store will currently sell $2800 worth of shoes.

we want to know the maximum of the expression (40+3x)(70-3x), expanding we get 2800 - 9x^2 + 90x,

the maximum of this would be x = 5, so the price they should charge is 55

the equation of the new function is:

[tex]g(x) = 2^{x - 5} - 7[/tex]

We have a function:

[tex]f(x) = 2^x[/tex]

And we want to shift it five units to the right, and seven units down, then the new function will be:

[tex]g(x) = f(x - 5) - 7[/tex]

If we now replace f(x), we get:

[tex]g(x) = 2^{x - 5} - 7[/tex]

That is the equation of the new function.

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Answer:

2/5

Step-by-step explanation:

20 ounces in all - 12 ounces drank = 8 ounces left

8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4

The portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A client is instructed to drink 20 ounces of water for 1 hour. The client has only been able to drink 12 ounces.

The remaining portion =  20 ounces  -  12 ounces drank

The remaining portion = 8 ounces left

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

The fraction:

= 8 ounces left/20 ounces in all = 4/10 = 2/5 = 0.4

= 8/20

= 2/5

Thus, the portion of water remaining is 2/5 if the client is instructed to drink 20 ounces of water for 1 hour.

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Answer:

9

Step-by-step explanation:

it should be that should be the answer it should be 9 bcuz he bout gum for 1 he got 5 peaces so dets 5$ then someone else got sumthing for 1$ and they got 4 peicea so thats 4$ 5+4 is 9

Answer:

im not sure the answer tho- just trying

The proportion of people with IQs above 130 is 2.3%.

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Here the mean is 100 and a standard deviation of 15.

µ = 100, σ = 15

P(X > 130) =

= P( (X-µ)/σ > (130-100)/15)

= P(z > 2)

= 1 - P(z < 2)

Using excel function:

= 1 - NORM.S.DIST(2, 1)

= 0.023 = 2.3%

The value is 2.3%.

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Answer:

1. Shorter Side: 4

2. Longer Side: 7

3. Hypotenuse: [tex]\sqrt{65}[/tex]

Step-by-step explanation:

[tex]4^{2} +7^{2} =65[/tex]

Answer: A

Step-by-step explanation: add 6 on each side you get 2p+3>13 then subtract 3 you get

2p> 10 divide by 2 you get p>5

Answer:

Step-by-step explanation:

Answer: The spin of the wheel by the contestant is an illustration of a sine function whose equation is y = -1.25sin(0.8x + 0.25)

The equation that represents the function will be; y = -1.25sin(0.8x) + 0.25

Suppose that we've got

[tex]f(x) = a\sin(bx + c) + d[/tex]

Amplitude or maximum height from average motion horizontal axis

= a + d

Thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).

A sine function is represented as:

y = Asin(B(x+C)) + D

Now, Substitute the calculated values,

y = -1.25sin(0.8(x+C)) + 0.25

The horizontal shift (C) is 0.

So, the function will be;

y = -1.25sin(0.8x) + 0.25

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The area of the triangle will be 14.9835cm².

Your information is incomplete and the complete question wasn't found. An overview will be given.

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.

Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h. Hence, to find the area of a tri-sided polygon, we have to know the base (b) and height (h) of it.

In this case, let the assumed base be 4.82cm and the height is given as 6.2172cm.

The area will be:

= 1/2 × 4.82 × 6.2172

= 14.9835cm²

In conclusion, the area is 14.9835cm².

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The width of the rectangle is 3.5 feet

The width of the rectangle = w

The length of the rectangle = l

The perimeter = p

Length of the rectangle is two feet greater than twice it’s width

l  =  2w + 2

p = 2(l + w)

p = 2(2w + 2 + w)

p = 2(3w + 2)

p = 6w + 4

The perimeter of the rectangle is 25 ft

25  =  6w + 4

This can be rewritten as:

6w + 4 = 25

6w = 25 - 4

6w = 21

w = 21/6

w  = 3.5

Therefore, the width of the rectangle is 3.5 feet

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Answer:

1 UNIT LEFT best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)².

The blank space in the task content should be filled with; Wages.

A wage by it's primitive definition is a fixed regular payment usually paid on a daily or weekly basis by the employer to an employee which could be skilled or unskilled.

Commission, and salary which is a monthly analogue of wages is another form of employee compensation.

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The coefficients in the expression are -1 and 9

The expression is given as:

-x^2 + 9x

In an expression ax, the coefficient is a.

Using the above as a guide, we have:

-x^2 + 9x

The coefficients in the above expression are -1 and 9

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The most likely the line of best fit for this scatter plot is line C.

It should be noted that a scatterplot simply means a graph that shows the relationship between the variables in the data set.

In this case, the most likely the line of best fit for this scatter plot is line C. The dependent variable is illustrated in the x axis and the dependent variable is illustrated on the y axis.

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Answer:

220

Step-by-step explanation:

We need to find the 3rd side length

We already know the hypotenuse and one side, so we can use the Pythagorean formula.

101^2 = a^2 + 20^2. A is the third side, and solving for it, we find that it equals 99.

Side 1 = 101

Side 2 = 99

Side 3 = 20

101 + 99 + 20 = 220

Answer:

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Step-by-step explanation:

because

the figure does not appear

Answer:

Let's go through the following example to show how to solve a system of equations by graphing. I won't solve this system, I will just show how to.

[tex]8x-3y = 17\\4x+y=21[/tex]

If you have an online grapher (like Desmos) at your disposal, then you can put each equation in it as it is.

1. Get both equations in the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]               [tex]4x+y=21\\y=-4x+21[/tex]

2. Put both equations in the graphing calculator

1. Get both equations into the form [tex]y=mx+b[/tex] by solving for y.

[tex]8x-3y=17\\-3y=-8x+17\\y=\frac{8}{3}x-\frac{17}{3}[/tex]                    [tex]4x+y=21\\y=-4x+21[/tex]

2. Plug in a few different points for x and calculate their y-values.

3. Plot those points on the graph paper

hi,

a point is given  ( x; y)

standar line equation is  :  y = ax+b

So  with  (3;5)  and  (8;15)  we have  :  

   3a+b = 5

   8a+b = 15

so :  

8a+b - ( 3a +b) =  15 -5

8a +b -3a -b = 10

8a-3a = 10

5a = 10

   a = 10/5

    a = 2

if a = 2  so  3*2 +b = 5

                     6+b = 5

                       b = 5-6

                       b = -1

so let check :  

8*2 + (-1) = 16 -1 = 15

and  3*2 -1 = 6-1 = 5

coordonnate works for both point, so line  is   y = 2x -1

Answer:

(-4,3）

Step-by-step explanation:

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

The intervals are numbers or values between two given point

The intervals are denoted as:

Closed intervals = [a, b]

This interval includes a and b.

Open intervals = (a, b)

This interval does not include a and b.

We have,

A number line.

The set of values that is in the blue line is from -4 to 3.

This means that the blue line includes values from -4 to 3.

There are infinite numbers between -4 to 3.

The blue line denoted that the values -4 and 3 are also included.

The interval that denotes the values between -4 and 3 is:

= [-4, 3]

Thus,

The interval that denotes the values between -4 and 3 on the given number line is [-4, 3].

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The solution for the system of lines is defined as follows,

x-Intercept for line a: (4,0)

y-Intercept for line a: (0,2)

x-Intercept for line b: (1.5, -0)

y-Intercept for line b: (0,-2)

Line a and b intersect at (2,1)

Solving the System of Lines:

Line a: x + 2y = 4

Line b: 3x – 2y = 4

From the graph,

Line a intersect x-axis at (4,0) and y-axis at (0,2)

Line b intersect x-axis at (-1.5,0) and y-axis at (0,-2)

x + 2y = 4

x = 4-2y

Since point P lies on bot the lines A and B, it will satisfy the equations of both a and b.

Thus, substituting x = 4-2y in the equation of line b, we get,

3(4-2y) - 2y = 4

12 - 6y - 2y = 4

8y = 8

y = 1

Putting y=1 in the equation of line a, x = 4-2y, we get,

x = 4-2(1)

x = 4-2

x = 2

Hence, point P≡(2,1).

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The description of the corresponding partition is given as follows:
The infinite classes can be defined as:

At equal  distance of x from point [1,2] 

Where x can vary from o to infinity.

The analogous partition, commonly known as "the set of equivalence classes," is the set A/R, the elements of which are the subsets of A satisfying  the following:


For every a∈A there is some B∈A/R such that a∈B.

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