what is the answer to this?
-2/5-(-9/15)

Answer:

y = (360 - 117 - 75) / 2 = 84 degrees

Step-by-step explanation:

a) The shape shown in the image could be described as a kite.

b) Since the opposite angles in a kite are equal, we can find the measure of angle y by subtracting the measures of angles x and z from 360 degrees and then dividing by 2, since the sum of the interior angles of a quadrilateral is always 360 degrees. Thus, we have:

y = (360 - x - z) / 2

We can see from the figure that angle x has a measure of 117 degrees, since it is opposite to angle y in one of the congruent triangles formed by the diagonal of the kite. Similarly, angle z has a measure of 75 degrees, since it is opposite to angle y in the other congruent triangle. Substituting these values into the above equation, we get:

y = (360 - 117 - 75) / 2 = 84 degrees

Therefore, the measure of angle y is 84 degrees.

We can see that opposite sides of the quadrilateral are parallel and equal in length, which indicates that the shape is a parallelogram.

To find the size of angle y, we can use the fact that opposite angles in a parallelogram are equal. Let's call the angle at the bottom left corner of the parallelogram "x". Then, we know that:

x + y = 180° (because the two angles form a straight line)

We also know that the angle at the top left corner of the parallelogram is equal to x (because opposite angles in a parallelogram are equal). And since the four angles of a quadrilateral add up to 360°, we can write:

2x + 2y = 360°

Simplifying this equation gives:

x + y = 180°

x + y = 180° - x + y

2x = 180° - x

3x = 180°

x = 60°

Now we can substitute x = 60° into the equation x + y = 180° to solve for y:

60° + y = 180°

y = 180° - 60°

y = 120°

Therefore, the size of angle y is 120°.

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Answer: y = -|x| - 3

Step-by-step explanation:

It's an absolute value function that has been shifted down 3 and has been reflected

y = -|x| - 3

Statements which  are always true regarding the diagram are

1. m∠5 + m∠6 = 180° ...........Parallel Pair

2. External angle of a triangle is equal to 2+3 = 6.

3. Triangle Sum Property: m2 + m3 + m5 = 180°

Think of ABC as having outside angles.

∠ 1, ∠ 4 , and ∠ 6

Triangle's exterior angle property:

A triangle's exterior angle equals the sum of its internal angles.

Exterior 1 has the following

The exterior angle of a triangle is given by the formula: 1 = 5 + 3.

Similarly,

Exterior 4 consists of

∠ 4 = ∠ 5 + ∠ 2.................Triangle's Exterior Angle

Similarly,

Exterior 6 consists of

The exterior angle of a triangle is given by the formula: 6 = 2 + 3

Property Triangle Sum:

The total of the angles in a triangle equals 180°.

∴ m∠2 + m∠3 + m∠5 = 180° .....Sum Triangle Property

Linear Pair:

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

∴ m∠5 + m∠6 = 180°  ...........Linear Pair

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Hence, the piece-wise function to  represent the number of  buses required to  transport 380, 9th graders is :

f(x) = { 1, if 0 < 380 ≤60x

          2, if 60x < 380≤120x

          3, if 120x < 380≤180x

          4, if 180x < 380 ≤ 240x

          5, if 240x < 380≤300x

          6, if 300x < 380 ≤ 360x

          7, if 360x < 380 }

In mathematics, a piece-wise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different  interval in the domain. Piece-wise definition is actually a way of expressing  the function, rather than a characteristic of the function itself.

Let 'x' be the  number of buses required to transport all the 9th graders. We can write the function in two parts, for 1st part  when the number of  students is less than or equal to 60 ( that is the capacity of one bus)  and for 2nd part  when it is greater than 60.

For x buses, each with a capacity of 60, we have:

Therefore,  the piece-wise function to  represent the number of  buses required to  transport 380, 9th graders is :

f(x) = { 1, if 0 < 380 ≤60x

          2, if 60x < 380≤120x

          3, if 120x < 380≤180x

          4, if 180x < 380 ≤ 240x

          5, if 240x < 380≤300x

          6, if 300x < 380 ≤ 360x

          7, if 360x < 380 }

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The volume of the model of Saturn is approximately 4,845.6 cm³.

Answer:

144

Step-by-step explanation:

we can use subtraction to solve this, subtracting 220 from 76 ends up with 144

Teuta bought the car for 8545.71 eu.

What is percent in math?

Percentages are essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

Let's assume that the initial price of the car is x.

After a 23% drop in price, the new price of the car is: x -0.23x = 0.77x

We know that the new price after the first year is 6575.8 eu: 0.77x = 6575.8

Solving for x, we get: x = 6575.8/0.77 8545.71

Therefore, Teuta bought the car for approximately 8545.71 eu.

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Answer:Creativity is important in constructing scientific questions because the obvious questions do not always lead to interesting results. Scientists need to be able to think outside the box and come up with new and original questions to investigate.

Step-by-step explanation:

The temperature dropped by 4 degrees Fahrenheit per hour during the 6-hour period.

The temperature drop each hour is calculated as follows;

temperature drop per hour = (change in temperature) / (time elapsed)

change in temperature = final temperature - initial temperature

change in temperature = 58 degrees F - 82 degrees F

change in temperature = -24 degrees F

The time elapsed =  6 hours

The change in temperature or drop in temperature is calculated as;

temperature drop per hour = (-24 degrees F) / (6 hours)

temperature drop per hour = -4 degrees F/hour

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Answer:

D)

Step-by-step explanation:

(x - 3)(x + 6) can be written in vertex form as y = (x - (-3/2))² - 20.25

What is the vertex form?

The vertex form of a quadratic function is a way of writing a quadratic function in form f(x) = a(x - h)² + k where (h, k) is the vertex of the parabola, a is a coefficient that determines the shape and direction of the parabola, and x is the input variable.

Expanding (x - 3)(x + 6), we get:

x² + 6x - 3x - 18 = x² + 3x - 18

To write this expression in vertex form, we need to complete the square. To do this, we add and subtract (3/2)² = 2.25 inside the parentheses:

x² + 3x - 18 + 2.25 - 2.25 = (x² + 3x + 2.25) - 20.25

Now, we can write the expression in vertex form:

y = (x - (-3/2))² - 20.25

Therefore, (x - 3)(x + 6) can be written in vertex form as:

y = (x - (-3/2))² - 20.25

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Answer:

a. km

b.350 ml

c.60 gr

Step-by-step explanation:

the units may be bigger though to whats the options is

Step-by-step explanation:

31 + 6x + x + 16 = 180

7x + 47 = 180

7x = 180 - 47

x = 133/7

x = 19

Factor of polynomial m are 0,   6n⁴.

What is polynomial in maths?

A polynomial is an expression in mathematics made up of variables (also known as indeterminates) and coefficients, and it only uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of the variables. The polynomial x2 4x + 7 is an illustration of one with a single indeterminate x.

= 30m³n⁴ - 5m⁴

= 5m³(6n⁴ - m )

let 5m³(6n⁴ - m ) = 0

       5m³ = 0

         m = 0

 6n⁴ - m = 0

      m =   6n⁴

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Simple interest =  $12,9600

Compounded quarterly = $12,9600

and compounded continuously = $21,686.49

What is simple interest?

Simple interest, often known as the yearly interest rate, is an annual payment based on a percentage of borrowed or saved money.

Here, we have

Given:

Investment = $5,400 at 5.6% interest.

t = 25 years

Final amount at simple interest: F = P(1+rt)

F = 5400(1+0.056×25)

F = 5400(2.4)

F = $12,9600

Final amount at compound interest: F= P(1+r/n)ⁿˣ

compounded quarterly(n=4)

F = P(1+r/n)ⁿˣ

F = 5400(1+0.056/4)⁴⁽²⁵⁾

F = 5400(1.014)¹⁰⁰

F = $21,686.49

Final amount at continuously compound interest: F= Peⁿˣ

F = 5400 e¹°⁴

F = $21,898

Hence,

simple interest =  $12,9600

compounded quarterly = $12,9600

and compounded continuously = $21,686.49

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Answer:

2 Batch Of Cakes

Step-by-step explanation:

See:

Recipe Requirements for 1 Batch:

2 cups of Flour

1/2 cup of Butter

3/4 cup of Sugar

She Has:

8 Cups of Flour

2 Cups of Butter

2 Cups of Sugar

1 batch:

Ingredient : Required - Present

Flour : 2 Cups - 8 Cups

Butter : 50% of 1 Cup - 2 Cups

Sugar : 75% of 1 Cup - 2Cups

Left ingredients:

Flour : 6 Cups

Butter : 1.5 Cups

Sugar : 1.25 Cups

2 batch:

Ingredient : Required - Present

Flour : 2 Cups - 6 Cups

Butter : 50% of 1 Cup - 1.5 Cups

Sugar : 75% of 1 Cup - 1.25 Cups

Left ingredients:

Flour : 4 Cups

Butter : 1 Cup

Sugar : 0.5 ( 1/2 ) Cups

3 Batch:

We Cannot Make The 3rd Batch as There is no sufficient Sugar

The part of the foot will the photo collage cover is 1/5 square foot

Recall that an area of a lawn is an area of soil-covered land planted with grasses and other durable plants such as clover which are maintained at a short height with a lawnmower (or sometimes grazing animals) and used for aesthetic and/or recreational purposes

The given parameters are

Area of the Poster =1 sq.ft.

The collage will cover a part of the poster that is

1/5ft wide and 3/5ft long

Area of the Photo Collage Section

=Length X Width

= 1/3 * 3/5

= 3/15 ft = 1/5foot

In conclusion,  the photo cover will cover 1/5  of a square foot

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Answer:

x = 15

Step-by-step explanation:

Given m||n, the angles indicated with (6x+20) and (8x-10) are alternate angles and their measures are equal.

So, to find the value of x, we can write the following equation:

8x - 10 = 6x + 20

8x - 6x = 20 + 10

2x = 30

x = 15

Answer:

To find the location of point L, we need to use the fact that point K lies on the perpendicular bisector of segment JL.

The perpendicular bisector of a segment is a line that passes through the midpoint of the segment and is perpendicular to the segment.

First, we can find the midpoint of segment JL:

Midpoint of JL = ((-5 + x)/2, (-8 + y)/2)

where (x, y) is the location of point L.

Since point K lies on the perpendicular bisector of JL, the line passing through K and the midpoint of JL will be perpendicular to JL.

The slope of the line passing through K and the midpoint of JL is:

m = (2 - (-8))/(-9 - (-5 + x)/2) = 10/(-9 - (5 - x)/2) = -4/(x - 7)

where we have used the fact that the line passing through K and the midpoint of JL is perpendicular to JL, so its slope is the negative reciprocal of the slope of JL.

Now, we can use the fact that the line passing through K and the midpoint of JL contains point K(-9, 2) to write the equation of the line:

y - 2 = m(x + 9)

Substituting the expression we found for m, we get:

y - 2 = (-4/(x - 7))(x + 9)

Simplifying this equation, we get:

y = -4x/ (x - 7) - 2

Now, we can substitute the x-coordinates of the answer choices to see which one gives us a valid y-coordinate:

A. (1, -2): y = -4(1)/(-6) - 2 = -1 --> Incorrect

B. (-1, -12): y = -4(-1)/(-8) - 2 = 1/2 --> Incorrect

C. (-3, -2): y = -4(-3)/(-10) - 2 = 6/5 --> Incorrect

D. (-3, -12): y = -4(-3)/(-10 - 4) - 2 = -26/7 --> Correct

Therefore, the location of point L is (-3, -12), which is answer choice D.

Thus, the missing side lengths are :x = 9 feet: y = 6 feet:

A blueprint is a collection of two-dimensional drawings that shows exactly how an architect intends a project to look. Typically, a building's dimensions, materials, and precise location of every component are described in the blueprints.

Given that-

The blue print for the pool of the backyard is prepared which is shown in given diagram.

A figure's longest side is its length, its shortest side is its width, and its highest point is its height.

For the given dimensions in the diagram:

x = 11 + 3 - 5 = 9 ft

y = 8 + 4 - 6 = 6  ft

Thus, the missing side lengths are :x = 9 feet: y = 6 feet:

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Complete question:

You have also decided to put a pool in your backyard, and the builder has shown you the blue print below that shows the pool from above.

Determine the missing side lengths:x = __ feet: y = ___feet:

Diagram for the question is attached.

Answer:

there is somthing wrong of what you ask

because it is impossible to be thet a>0 and b>0 and x<0 and still ax>1 or bx>1

Answer:

y = (x - 2)² + 4

Step-by-step explanation:

y = x² - 4x + 8

using the method of completing the square

add/subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 8

  = (x - 2)² + 4 ← in vertex form

To solve this problem, we can use the combination formula, which is:

n C r = n! / (r! * (n-r)!)

where n is the total number of students eligible for the committee, r is the number of students we want to choose, and ! denotes the factorial function.

In this case, we want to choose a committee of 8 students from a pool of 8 freshmen, 9 sophomores, 8 juniors, and 10 seniors. So, the total number of students eligible for the committee is:

n = 8 + 9 + 8 + 10 = 35

We want to choose a committee of 8 students, so r = 8. Therefore, the number of ways we can choose a committee of 8 students is:

35 C 8 = 35! / (8! * (35-8)!) = 35! / (8! * 27!) ≈ 1,121,112 ways

So there are approximately 1,121,112 ways to choose a dance committee of 8 students from the eligible pool.

Answer:

The value of the given equation is 2.

Step-by-step explanation:

Evaluate and simplify the expression

when x = 5 and z = 3.

[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]

substituting the given values in the equation :

[tex]\longrightarrow{\sf{\dfrac{2x - 3(x - z)}{z - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{2 \times 5 - 3(5 - 3)}{3 - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{10 - 3(5 - 3)}{3 - 1}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7(2)}{2}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7 \times 2}{2}}}[/tex]

[tex]\longrightarrow{\sf{\dfrac{7 \times \cancel{2}}{\cancel{2}}}}[/tex]

[tex]\longrightarrow{\sf{\underline{\underline{2}}}}[/tex]

Hence, the value of the given equation is 2.

Answer:

(c) 6 days

Step-by-step explanation:

First, we need to calculate how many trips the truck can make per day. We will assume that the truck is filled to its maximum capacity on each trip.

The volume of the truck can be calculated by multiplying its dimensions:

8.17 feet x 9.25 feet x 18.5 feet = 1,482.51 cubic feet

We need to convert this to cubic meters:

1,482.51 cubic feet x 0.0283 cubic meters per cubic foot = 42.01 cubic meters

Therefore, each round trip can transport 42.01 cubic meters of construction waste.

To calculate how many trips are required to remove all the waste, we divide the total volume of waste by the volume of waste per trip:

1,425 cubic meters / 42.01 cubic meters per trip = 33.89 trips

Since the driver can make one round trip per hour, it will take approximately 34 hours to transport all the waste to the landfill.

If the driver starts on Monday at 8 am, they will have 8 working hours that day, for a total of 8 trips. On Tuesday and Wednesday, they will have 8 working hours each day, for a total of 16 trips. Therefore, by noon on Wednesday, they will have made 24 trips, leaving 9.89 trips remaining.

Since each day the driver can make 8 trips, they will need approximately 2 more days of work to completely remove the construction waste from the demolition site. Therefore, the answer is (c) 6 days.

Note: This calculation assumes that there are no delays or complications in the transportation process, such as traffic or equipment malfunctions, which could affect the actual time required to remove all the waste.

Answer: Probability: 1.3%

Totals, 51, 155. 0 Accounts: 18. 1 Account: 24. 2 Accounts:18. 3 or more: 42.

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

To solve for the value of x, x is 2.

What is a simple equation?

A given equation which has one unknown variable whose value is to be determined is called a simple equation. This requires the applications of some mathematical principles to know the value of the unknown.

In the given question, the common factor is 25. so divide by 25 to have;

125x - 150 = 100

divide by the common factor, we have;

125x/25 - 150/25 = 100/25

5x - 6 = 4

So that, solve in the usual manner;

5x = 4 + 6

    = 10

5x = 10

x = 10/5

 = 2

x = 2

After solving the equation, the value of x is 2.

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Answer:

A

Step-by-step explanation:

Self explanatory

Answer: b

Step-by-step explanation: i just did this one on a algebra 1b assignment lol