What is y=6/5 x+9 written in standard form

The mean number of miles that the employees in a department live from work is 24.

What is a z-score?

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The z-score is given as

x = 29

s = 3.6

z = -1.5

Then the mean will be

[tex]-1.5 = \frac{29-u}{3.6}[/tex]

μ = 29 - 5.4

μ = 23.6 ≅ 24

Hence the answer is the mean number of miles that the employees in a department live from work is 24.

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A Quadrilateral has four-sides, it is 2-dimensional (a flat shape), closed (the lines join up), and has straight sides.

We have special types of quadrilaterals which are,

1) Rectangle

2) Square

3) Rhombus

4) Parallelogram

5) Trapezium

6) Kite

Some types are also included in the definition of other types! For example a square, rhombus and rectangle are also parallelograms.

An isosceles trapezoid has left and right sides of equal length that join to the base at equal angles.

Below is the diagram of an Isosceles trapezoid

We need to find the center and the radius of

The general circle equation is the following

where

(h,k) is the center and

r is the radius

1. rearrange the equation

2. Add 25 on both sides

3. Factor

Now we have an equation that is very similar to the circle equation, so let's compare them

Center -> (h,k) = (5,-11)

radius -> r = 5

The height of cone is 10 inches.

What is cone?
A cone is indeed a three-dimensional geometric shape with a smooth transition from a flat base—often but not always circular—to the point at the top, also known as the apex or vertex. A cone is made up of a collection of line segments, half-lines, as well as lines that connect the apex—the common point—to every point on a base that is in a plane other than the apex. The base may only be a circle, any closed one-dimensional figure, any one-dimensional quadratic shape in the plane, or any combination of the above and furthermore all the enclosed points, depending on the author.

What is the formula for finding the height of a cone?

We know that

If two figures are similar, then the ratio of its corresponding sides is proportional

Let x----> the height of cone B

using proportionality

3/2 = 15/x

x = 2 * 15/3

x = 10 inches

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To earn at least $122.50 per day, Wing Ko must replace 5 watch bands

Here, we want to find the number of bands that Wing Ko must replace to earn at least $122.50 per day

Let the number of watch bands be x

Using mathematical relatio to represent this inequality, we have;

We can notice that the graph of function g(x) = 1/2 f(x) is below the graph of function f(x) = x in the 1st quadrant but above in the 3rd quadrant, and they both intersect at 0.

So, the difference in the graph of the given functions:

Plot on the graph as follows:

(Refer to the graph attached below)

Therefore, we can notice that the graph of function g(x) = 1/2 f(x) is below the graph of function f(x) = x in the 1st quadrant but above in the 3rd quadrant, and they both intersect at 0.

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Answer:

[tex]2 {d}^{2} + 5d - 7 [/tex]

[tex](2d + 7)(d - 1)[/tex]

Answer: 2.5, 5.4

Step-by-step explanation:

[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]

The rules of BODMAS are useful in calulating mathematical expressions involving many operators. The given expression can be simplified as a simple fraction 28 / 27.

The rules of BODMAS can be understood by the full form of the name. B stands for bracket, O for of, D for division, M for multiplication, A for addition and S stands for subtraction. For a mathematical expression involving the combination of any of these operators the priority will be given to the letter that comes first.

The given expression can be written as,

4 / 5 ÷ 9 / 5 × 7 / 3

In the given expression there are three fractions separated by the sign of multiplication and division.

As per the rule of BODMAS, the division operator has the priority over multiplication operator.

Apply the rule mentioned above in the given expression to get,

4 / 5 ÷ 9 / 5 × 7 / 3

= 4 / 5 × 5 / 9 × 7 / 3

= 4 / 9 × 7 / 3

= 28 / 27.

Hence, the given expression is simplified to get the result as 28 / 27.

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In the given isosceles triangle, the value of x is 10 units.

So, the value of 'x' will be:

Given triangle is an isosceles triangle. Then,

Therefore, in the given isosceles triangle, the value of x is 10 units.

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Answer:

Step-by-step explanation: if the width is x then the length is 2x+3

The perimeter is 2x+2(2x+3)=42

then 6x+6=42

6x=36

x=6

Then the length is 2*6+3=15

Answer: Width = 5.7 feet, Length = 10.5 feet

Step-by-step explanation:

Let the width be w. Then, the length is 2w-0.9.

[tex]w(2w-0.9)=59.85\\\\2w^2 -0.9w-59.85=0\\\\w =\frac{-(-0.9) \pm \sqrt{(-0.9)^2 -4(2)(-59.85)}}{2(2)}\\\\w =5.7\\\\\implies 2w-0.9=10.5[/tex]

Using mathematical operations, we can conclude that the pound of pork the girl brought was 11.2 pounds.

So, the pounds of pork the girl bought:

Calculate pork as:

Therefore, using mathematical operations, we can conclude that the pound of pork the girl brought was 11.2 pounds.

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Answer:

-20x9= -180.    2 to the power of three =8  if you want the quotient it would be -22.5

Step-by-step explanation:

The surface area of the prism is 1440 mm²

Given,

Triangular prism

Height of the prism = 32 mm

Base  of the prism = 24 mm

Length of the prism = 7 mm

We have to find the surface area of the prism;

Surface area, SA = bh + (b₁ + b₂ + b₃) l

Here,

Base, b = 24 mm

Height, h = 32 mm

Length, l = 7 mm

b₁ = 24 mm

b₂ = 32 mm

b₃ = [tex]\sqrt{b_{1} ^{2} + b_{2} ^{2} }[/tex] = [tex]\sqrt{24^{2}+ 32^{2} }[/tex] = [tex]\sqrt{576 + 1024}[/tex] = √1600 = 40 mm

Then,

Surface Area = bh + (b₁ + b₂ + b₃) l

SA = 24 x 32 + (24 + 32 + 40) 7

SA = 768 + 96 x 7

SA = 768 + 672

SA = 1440 mm²

That is,

The surface area of the prism is 1440 mm²

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When a polynomial is dived by x - a, to find the remainder, we can plug is x = a into the equation and find the remainder.

When it is divided by x + a, the remainder is found by plugging in x = -a.

Now, the polynomial here is:

It is divided by x + 5, so we need to plug in x = -5 to get the remainder, which is:

The remainder is - 41, 1st answer choice.

A quantity that is compounded continuously follows the next equation:

Where:

Now, the interest rate in decimal notation is determined by dividing the percentage by 100:

Now, we are asked to determine the time required for the quantity to double. Therefore, we need to determine "t" when:

Substituting in the formula we get:

Now, we can cancel out the "P":

Now, we solve for "t". First, we take the natural logarithm to both sides:

Now, we use the following property of logarithms:

Applying the property we get:

We have that:

Therefore:

Now, we divide both sides by "r":

Now, we substitute the value of "r":

Solving the operations:

Therefore, the right option is A.

On solving the equation 2x+y=-4 and 43x-12y=-4 for y we get the value of y=-164/67 as the definition of solution of equation says "A solution to an equation is a number that can be plugged in for the variable to make a true number statement".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that cause all component equations to be satisfied or intersected are the solutions to systems of equations.

Here,

2x+y=-4

43x-12y=-4

43(2x+y=-4)

2(43x-12y=-4)

86x+43y=-172

86x-24y=-8

subtracting equation,

67y=-164

y=-164/67

As stated in the definition of equation solution, "A solution to an equation is a number that can be plugged in for the variable to make a true number statement," we arrive at the value of y=-164/67 after solving the equations 2x+y=-4 and 43x-12y=-4 for y.

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Answer: 20

Step-by-step explanation: They are both equal to each other, so 3x+50=6x-10. Then just solve for x by canceling out both sides.

Given

Monthly deposit = $98

Rate = 6.1%

Number of years = 21

Find

Total value of the annuity in 21 years.

Explanation

Total value of annuity is given by

where FV is a future value

so ,

now solve this to obtain the future value .

Final Answer

Therefore , the future value is $49904.27

STEP 1: Identify and Set Up

We are required to get the angle subtended by the arc DE.

We first acknowledge that it is part of the angles in a quadrant as this will help us find it.

STEP 2: Execute

First find angle DAE

Answer:

2,6x +5 = y

Step-by-step explanation:

Don’t know if you wanted the equation, but this is how it’s written

Given

(1,7) and (4,1)

y=-2x+9

ANSWER:

A. 2.2%

STEP-BY-STEP EXPLANATION:

We can calculate the probability using the quotient of the area of the small circle and the area of the entire rectangular sector, like this:

In the circle the radius is 6 inches and in the rectangle the length is 84 inches and the width is 60 inches.

Therefore we replace and we have:

The model is a linear function that shows $3.25 money that  Ilya has all together

The phrase linear function relates to two distinct but related concepts in mathematics:

Some authors use the term "linear function" only for linear mappings that accept values in the scalar field; these are more frequently known as linear forms.

Calculus' "linear functions" qualify as "linear mappings" when (and only when) f(0,..., 0) = 0, or, equivalently, when the aforementioned constant b equals zero.

A linear function in calculus and related fields is one whose graph is a straight line, that is, a polynomial function of degree zero or one. The word affine function is commonly used to distinguish such a linear function from the other idea.

A linear function is also known as a linear map in linear algebra, mathematical analysis, and functional analysis.

Given,

Ilya goes to the store with $1.40 in his pocket and $1.85 in his wallet.

Total money=$1.40+$1.85

=$3.25

The model is a linear function that shows $3.25 money that  Ilya has all together.

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Answer:

1) B, 2) C

===========

As per definition, functions have only one y-value per x-value.

Let's test it with given sets and tables.

A)

x y

0 1

0 2

1 3

2 3

B)

x y

1 0

2 0

3 1

3 2

C)

x y

​​−1 −1

0 −1

2 0

3 2

D)

x y

−1 −1

−1 0

0 2

2 3

1) The set of ordered pairs that represents y as a function of x is;

B; {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}

2) The table that represents y as a function of x is; Table 3

An ordered pair is defined as a composition of the x coordinate called the abscissa and the y coordinate called the ordinate having two values written in a fixed order within parentheses.

1) The first function given as  {(−1, 0), (−1, 1), (−2, 2), (0, 3)} ; This cannot be regarded as a function because the input x = - 1 is repeated with different output values.

The second function {(−1, 1), (−2, 0), (−3, 4), (−3, 3)} ; This cannot be regraded as a function because the input x = -3 is repeated with different output values.

The third function {(0, 0), (1, 1), (2, 2), (3, 3)};  This is a function because each input has unique output values.

The fourth function {(0, 0), (1, 0), (2, 4), (2, 3)} ;  This cannot be regraded as a function because the input x = 2 is repeated with different output values.

2) Table 1 cannot be regarded as a function because the input x = 0 is repeated with different output values.

Table 2 cannot be regarded as a function because the input x = 3 is repeated with different output values.

Table 3 is a Function because each input has unique output values.

Table 4 cannot be regarded as a function because the input x = -1 is repeated with different output values.

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A Cylinder can be used to model the surface area of the caterpillar with Surface area of 117.3 cm²

A full-grown monarch caterpillar is of cylinder shape . so , the option 4th is correct for first blank.

Surface area of cylinder is 2πrh + 2πr²

where r is radius of circle and h is height of cylinder

here , length of caterpillar is 5cm and radius is 2.5cm

Surface area = 2πrh + 2πr²

= 2π(5)(2.5) + 2π(2.5)²

= 2π(12.5) + 2π(6.25)

putting π = 3.14

=78.5+39.25

=117.8 cm²

Rewriting the sentence

A cylinder can be used to model the surface area of the caterpillar. Based on the model, the caterpillar has an approximate surface area of 117.8 square centimeters.

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Answer: A Cylinder can be used to model the surface area of the caterpillar with Surface area of 117.8 square centimeters

(if your on PLATO) if not then 117.8

Answer:

12. 0 = 11

No Solution

21. 0 = -132

No Solution

Step-by-step explanation:

12.

5 - 8x = 16 - 8x

-8x + 5 = -8x + 16

      - 5 =        -  5

-8x = -8x + 11

-8x = -8x

0 = 11

No Solution

21.

12x + 32 = 12x - 100

      - 32           -  32

12x = 12x - 132

-12x   -12x

0 = -132

No Solution

Answer:25

Step-by-step explanation:

1. you place the numbers in order from least to greatest so 1,1,3,8,12

2. then you add those all up

3.then you divide how many numbers there are together

1+1+3+8+12=25

then you divide by 5 because that's how many numbers are shown for the daily snow fall

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