A package of 6 pairs of insulated socks costs ​$ 47.94. What is the unit price of the pairs of socks​?

Answer:

[tex](x + 1)^2 + (y-8)^2 = 173[/tex]

Step-by-step explanation:

[tex]\textsf{The standard form of the equation of a circle is }\\\\ \sf (x -h)^2 + (y-k)^2 = r^2 \;where\; (h, k) \textsf{ are the coordinates of the center of the circle and \;r\; is the radius}[/tex]

Here h = -1, k = 8

So we get
[tex](x - (-1)) ^2 + (y - 8)^2 = r^2[/tex]

[tex](x + 1)^2 + (y - 8)^2= r^2\\\\[/tex]

Since the circle passes through the point (-3, -5) we can plug in these values of x = -3 and y = -5 to get r squared

[tex](-3 + 1)^2 + (-5 -8)^2 = r^2\\\\(-2)^2 + (-13)^2 = r^2\\\\4 + 169 = r^2\\\\r^2 = 173\\\\\\[/tex]

So the equation of the circle is
[tex](x + 1)^2 + (y-8)^2 = 173[/tex]

Answer:

answer.3.4,6.8,9.12

Step-by-step explanation:

get 12+16=28.

12/28=6/14=3/7

16/28=8/14=4/7.

now get 3/7and 4/7.

subtruct 3 from 12 and also subtract 4 from 16 to get 9.12

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

WE have been given that SAT scores are normally distributed, with a mean of 500 points and a standard deviation of 100 points.

The solution as follows;

Let be X: scores of SAT

P(X ≥ x) = 0.9

P((X - 500)/100 ≥ (x - 500)/100) = 0.9

P(Z ≥ z) = 0.9

z = 1.28

1.28 = (x - 500)/100

128 + 500 = x

x = 628

Recalling that SAT scores are always expressed as multiples of 10, then the points we get on the test will be 628.

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The distinction between present value and future value is that the former is required now and the latter is needed at a future period

What is the difference between present value and future value?

The present value indicates today's worth or dollars of a future value  of a  flow whereas the future value determines the future worth of an investment or deposit made today or deposits over a number of years at a time in the future

The amount that Claudia would have in a year's time is future value because the present value is the initial deposit made today

The amount that Steven would  have to deposit today in order to accumulate $400,000 in 15 years is the present value

The amount that a deposit of $4,500 made today would worth in 6 years is the future value because the initial deposit is the present value.

Joe would have to deposit payments in expectation of future value after 3 years and the deposit required today to earn a rate of return of 5% in order to have $1000 in 5 years is a present value

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Answer:

60/7 ft

Step-by-step explanation:

Using similar triangles, if we let the height of the tree in ft be x,

[tex]\frac{x}{24}=\frac{5}{14} \\ \\ x=\frac{60}{7}[/tex]

Answer: Is the absolute difference if a is a positive number, when a = any rational number.

Step-by-step explanation:

Define Positive numbers:

Positive numbers are the numbers which are greater than zero that lies on the right side of the number line.

Example: 0, 1, 2, 3, 4…

Define Negative numbers:

Negative numbers are the numbers which are less than zero that lies on the left side of the number line.

Example: … -5, -4, -3, -2, -1, 0.

Given data,

Let a = any rational number. Is the absolute difference if a is a positive number.

Because,

Let us take,     a  =  any rational number

We have to know → Is the absolute value of a different if a is a positive number or negative number.

Define Modulus (|x|) of a number :

The modulus or absolute value of a number means the distance that goes from the number to its origin, this is, to the point 0 (zero) that makes part of the real straight line. For instance, the distance from point 6 to its origins is 6, but the distance from point -6 to its origins is also 6.

The modulus operator formula is :

             |x|  = { x if x ≥ 0     and     -x if x ≤ 0

Given question,

Assume any rational number   x/y

Using the Modulus property :

                |x|   = { x/y if x/y ≥ 0    and      -x/y if x/y ≤ 0

Therefore, if the rational number is less then zero (say -2).

Then the absolute value will be = - (- 2) = 2

and for any rational number greater than 0 (say 2)

Then its absolute value will be = 2 only.

Hence,

Is the absolute difference if a is a positive number, when a = any rational number.

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There isn't a ton of info provided in your question, however, I believe the solution is 1 = 1.

Answer:

×=2 , y= -2

Step-by-step explanation:

3x+y=4______(1)

x-3y=8_______(2)

by substitution method...

multiplying eq (1) by 3..

9x+3y=12_____(3)

x-3y=8_______(4)

10x=20

x=2

putting the value of x in eq (1)

3x+y=4

3(2)+y=4

6+y=4

y=4-6

y=-2

×=2 , y= -2

Answer:

The easiest way to find percentage is to multiply the number by 100. Like if you were required to find the percentage of 0.87 you multiply it by 100 and get 87 there for 0.87 is equal to 87%.

Step-by-step explanation:

Hope it helps! =D

The linear equation that passes through (-1, 8) and (5,-2) is:

y = (5/3)*x + 29/3

A general linear equation in the slope-intercept form is:

y = a*x + b

Where a is the slope, and b is the y-intercept.

If we know that this line passes trhough the points (-1, 8) and (5, -2) then we can write the slope as:

a = (-2 - 8)/(5 + 1) = -10/6 = 5/3

Then we can write:

y = (5/3)*x + b

Now to find the value of b we can replace the values of one of the points in the line, if we use (-1, 8) we will get:

8 = (5/3)*-1 + b

8 + 5/3 = b

24/3+  5/3 = b

29/3 = b

We conclude that the linear equation is:

y = (5/3)*x + 29/3

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Answer:

.324

Step-by-step explanation:

.3244   if underlined digit >= 5     round the thousandth digit up o/w leave it as is  

Answer:

Step-by-step explanation:

4/50 * 20 = 8/5 miles

Answer:

Step-by-step explanation:

The area of a triangle is equal to half the product of the base by the height drawn to that base

Hence,

1)

[tex]\displaystyle\\S_\triangle=\frac{1}{2}(4)(1.5)\\\\S_\triangle=2(1.5)\\\\S_\triangle=3 \ square\ inches[/tex]

2)

[tex]\displaystyle\\S_\triangle=\frac{1}{2}(16)(9.4)\\\\S_\triangle=8(9.4)\\\\S_\triangle=75,2 \ square\ km[/tex]

3)

The area of a trapezoid is equal to the product of the half sum of the trapezoid bases by the height

Hence,

1 ft=12 in

[tex]\displaystyle\\S_{trapezoid}=\frac{a+b}{2}h \\\\S_{trapezoid}=\frac{16.8+33.6}{2}(12)\\\\ S_{trapezoid}=\frac{50.4}{2} (12)\\\\S_{trapezoid}=25.2(12)\\\\S_{trapezoid}=302,4 \ square \ inches[/tex]

4)

[tex]\displaystyle\\S_{trapezoid}=\frac{7.9+2.3}{2}(4.6)\\\\S_{trapezoid}=\frac{10.2}{2}(4.6)\\\\ S_{trapezoid}=5.1(4.6)\\\\ S_{trapezoid}=23.46\ square\ meters[/tex]

5)

The area of a rectangle is equal to the length times the width of its sides

Hence,

[tex]S=ab\\\\S=6(5.1)\\\\S=30.6\ square\ meters[/tex]

6)

[tex]S=6(4)-2(4-3)\\\\S=24-2(1)\\\\S=24-2\\\\S=22 \ square\ cm[/tex]

Step-by-step explanation:

If n= -1

input -1 for n in the equation

e.g. 3(-1)³-4(-1)

From there solve for n and you should get -23n

The equation in terms of x that represents the given relationship is (7 + x)x = 555

The given parameters are

Length = L

Width = x

Area = 555 yd^2

From the question, we have

L = 7 + x

The area of a rectangle is

A = Lx

Substitute 7 + x for L

So, we have

A = (7 + x)x

Substitute 555 for A

So, we have

(7 + x)x = 555

Hence, the equation in terms of x that represents the given relationship is (7 + x)x = 555

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The area of the circle inscribed inside the square is 64π cm²

An equation is an expression that shows the relationship between two or more numbers and variables.

The circle inside the square as shown in the diagram have a diameter of 16 cm. Hence:

Radius = diameter / 2 = 16/2 = 8 cm

Area of circle = π * radius² = π * 8² = 64π cm²

The area of the circle inscribed inside the square is 64π cm²

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The surface area of the sphere is approximately equal to 615.752 square miles.

The surface area of a solid is the area comprised by all faces of a solid, in the case of a sphere, there is only one face whose extension is determined by the following formula:

A = 4π · r²

Where:

If we know that r = 7 miles, then the surface area of the sphere is:

A = 4π · (7 mi)²

A ≈ 615.752 mi²

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The general expression for the slope of the tangent line is m = y'(x) = 4x + 2. the value of m is - 10 for x = - 3 and is 4 for x = 0.5.

A line that only touches a curve once is said to be tangent to it. The point (x₀ , y₀) where a line with the equation of a tangent to a curve

y = f ( x ) is given by:

T' (x) = f'(x) (x ₋ x₀)  ₊ y₀

The slope of the tangent line to a curve at a point is computed by getting the first derivative of the curve.

y(x)=2x²y

y'(x) = (2)2x²⁻¹ ₊ (1)2x¹⁻¹

y'(x) = 4x¹ ₊ 2x°

y'(x) = 4x ₊ 2(1)

y'(x) = 4x ₊ 2

The slope at a point

P (x, y) is computed by substituting the x-coordinate of the point to the first derivative. This is the general expression for the slope:

m = y'(x) = 4x + 2

For x = - 3

m = 4 (- 3) + 2

m = - 12 + 2

m = - 10

For x = 0.5

m = 4 (0.5) + 2

m = 2 + 2

m = 4

Therefore, the general expression for the slope of the tangent line is m = y'(x) = 4x + 2. the value of m is - 10 for x = - 3 and is 4 for x = 0.5.

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The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

What is Place value?

The value of each digit is called place value.

The given condition to find the number is;

Number that have a digit in the ones place is 1/10 of the value in the tens place.

Now, In the number 3,222;

2 is 1/10 of the 20 in the tens place.

And, In the number 1,055

5 is 1/10 of the tens value of 50.

So, The number that have a digit in the ones place is 1/10 of the value in the tens place are 3,222 and 1,055.

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Answer:

The answer A,B,C

It should be noted that the value of -4 + 8 36/87 will be 4 12/29.

It should be noted that based on the information illustrated, the fraction given is illustrated as:

= -4 + 8 36/87

= -4 + 8 12/29

= 4 12/29

Therefore, it should be noted that the value of -4 + 8 36/87 will be 4 12/29.

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Answer:

Team A scored 12 pts

Team B scored 17 pts

Answer:

5, -35, 3.75, 4a + 4b + 5

Step-by-step explanation:

1. f(0) = 3(0)^2 - 2(0) + 5 = 5

2. f(-4) = 3(-4)^2 - 2(-4) + 5 = -35

3. f(-1/2) = 3(-1/2)^2 - 2(-1/2) + 5 = 3.75

4. f(a+b) = 3(a+b)^2 - 2(a+b) +5 = 4a + 4b + 5

3(a+b)(a+b) - 2a -2b + 5

6a + 6b -2a -2b +5

4a + 4b + 5  

I think

Answer:

a, b, a/2, b/2

Step-by-step explanation:

The coordinates of C are (a,b).

You find the midpoint by taking the averages of the coordinates.

Answer: $11,379 i believe

Step-by-step explanation: Multiplying 9 times the percentage value at which the cars value depreciates it gives you, 13.5%. Dividing 13155 by that 13.5% will give you the absolute value of $11379.075 in which would be $11,379.

Hope this helps!