Write a pair of negative integer whose differences is -10.

Answer:

a) x = 70

b) a = 50

Step-by-step explanation:

a)  Angles on a straight line add up to 180°

⇒ 52 + x + 58 = 180

⇒ x = 180 - 52 - 58

⇒ x = 70

b) Angles around a point add up to 360°

⇒ 120 + 90 + a + a + a = 360

⇒ 210 + 3a = 360

⇒ 3a = 360 - 210

⇒ 3a = 150

⇒ a = 150 ÷ 3

⇒ a = 50

Answer:

a) x = 70°

b) a = 50°

Step-by-step explanation:

Part (a)

52° + x° + 58 = 180° (Angles on a straight line add up to 180 degrees.)

x + 110 = 180

Subtract 110 to both sides

x = 180 - 110

x = 70°

Part (b)

a° + a° + a° + 90° + 120° = 360° (Angles at a point add up to 360 degrees)

3a + 210 = 360

Subtract 210 to both sides

3a = 360 - 210

3a = 150

Divide both sides by 3

a = 150 / 3

a = 50°

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

10. D

9. A

8. B

Step-by-step explanation:

The expression that represents the perimeter of the rectangle is 8x - 14

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

Length of rectangle(L) = x - 4

Width of rectangle(W) = 3x - 3

Perimeter of rectangle = 2(L + W)

L =  x - 4, W = 3x - 3

Perimeter of rectangle = 2( x - 4 + 3x - 3)

Perimeter of rectangle = 2( 4x - 7) which is 8x - 14

In conclusion 8x - 14 is the expression for the perimeter of the rectangle

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The diameter of a new ball is 4.0ft

According to the statement

we have given that the the company wants to spend a maximum of $1 each.

And we have to find a diameter of a new ball.

Remember that for a sphere of diameter D, the surface area is

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

here the diameter of a ball is 4.0ft.

So, The diameter of a new ball is 4.0ft

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Answer:  10

Step-by-step explanation:

20% is 10% of 50 % because you /   100 in half and 20 in half and it's the same thing the answer is 10, my guy.

The six trigonometric function values for the angle α with coordinates (-12, -5) are:

sin α = -5/13

cos α = -12/13

tan α = 5/12

csc α = -13/5

sec α = -13/12

cot α = -12/5.

To find the six trigonometric function values for the angle α with coordinates (-12, -5), we can use the following steps:

Step 1: Determine the values of the adjacent side, opposite side, and hypotenuse of the right triangle formed by the given coordinates.

Given coordinates: (-12, -5)

Adjacent side (x-coordinate): -12

Opposite side (y-coordinate): -5

To find the hypotenuse, we can use the Pythagorean theorem:

Hypotenuse² = Adjacent side² + Opposite side²

Hypotenuse² = (-12)² + (-5)²

Hypotenuse² = 144 + 25

Hypotenuse² = 169

Hypotenuse = √169

Hypotenuse = 13

Step 2: Use the trigonometric function definitions to find the values:

a. Sine (sin α) = Opposite side / Hypotenuse

sin α = -5 / 13

b. Cosine (cos α) = Adjacent side / Hypotenuse

cos α = -12 / 13

c. Tangent (tan α) = Opposite side / Adjacent side

tan α = -5 / -12

d. Cosecant (csc α) = 1 / sin α

csc α = 1 / (-5 / 13)

csc α = -13 / 5

e. Secant (sec α) = 1 / cos α

sec α = 1 / (-12 / 13)

sec α = -13 / 12

f. Cotangent (cot α) = 1 / tan α

cot α = 1 / (-5 / -12)

cot α = -12 / 5

Therefore, the six trigonometric function values for the angle α with coordinates (-12, -5) are:

sin α = -5/13

cos α = -12/13

tan α = 5/12

csc α = -13/5

sec α = -13/12

cot α = -12/5.

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

Answer:

<

Step-by-step explanation:

The value of \(\pi\) is 3.1415 so in this statement, 3.2 is bigger than pi, so the statement will require a < .

\(\pi\) < 3.2

Hope this helps!

Answer:

$1019.92  

Step-by-step explanation:

A = 300(1.085)^15

The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365).

i) To determine the maker of the note, we need to identify who issued the promissory note. Unfortunately, the information provided does not specify the name of the maker or issuer of the note. Without additional information, it is not possible to determine the maker of the note. ii) To calculate the face value of the note, we can use the formula for the maturity value of a promissory note: Maturity Value = Face Value + (Face Value * Interest Rate * Time). Given that the maturity value is RM7,266 and the note matured on 11 June 2022 (assuming a 365-day year), and Zafran held the note for 52 days, we can calculate the face value: 7,266 = Face Value + (Face Value * 0.09 * (52/365)). Solving this equation will give us the face value of the note.

iii) The discount date is the date on which the note was discounted at the bank. From the information provided, we know that Zafran discounted the note after holding it for 52 days. Therefore, the discount date would be 52 days after 10 January 2022. iv) The discount rate can be calculated using the formula: Discount Rate = (Maturity Value - Discounted Value) / Maturity Value * (365 / Time). Given that the discounted value is RM7,130.77 and the maturity value is RM7,266, and assuming a 365-day year, we can calculate the discount rate. v) The simple interest rate that is equivalent to the discount rate can be determined by multiplying the discount rate by (Time / 365). This will give us the annualized interest rate that is equivalent to the discount rate.

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Answer:

\((x^{1},y^{1} =(-5,0)\\(x^{2} ,y^{2} )=(2,14)\)

Step-by-step explanation:

\(x^{2} +5x=2x+10\\\\x=-5,2\\\\\\y=2(-5)+12\\y=2(2)+10\\y=0,14\\\\(x^{1} ,y^{1})=(-5,0)\\(x^{2},y^{2} )=(2,14)\)

The number of reflectional symmetry that an object has depends on the object itself and its shape.

If an object can be reflected across a line or plane and yet look the same, it possesses reflectional symmetry. A square, for example, has four lines of reflectional symmetry, one on each side, whereas a circle has an infinite number of lines of reflectional symmetry since it looks the same no matter where it is reflected.

The following are some popular shapes and the number of lines of reflectional symmetry they have:

4 lines of symmetry in a square

2 lines of symmetry in a rectangle

3 lines of symmetry in an equilateral triangle

1 line of symmetry in an isosceles triangle

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a) On plotting we get a bell-shaped curve with its maximum at x = 2.5.

b) c is equal to 2.641(approximately). The probability that the actual tracking weight is greater than the prescribed weight is  approximately 0.1

c) The probability that the actual tracking weight is within 0.1 grams of the prescribed weight is approx. 0.063.

d) The probability that the actual weight differs from the prescribed weight by more than 0.2 grams is approx.  0.019.

a) On closely obsorving the possible graph, the graph of f(x) is a bell-shaped curve with its maximum at x = 2.5 and symmetric about this point.

b) To find the value of c, we need to integrate f(x) from 2.5 to infinity and set it equal to 1, since the area under the curve represents the total probability.

∫[2.5, ∞] 0.1(1 - (x - 2.5)^2) dx = 1

After integrating, we get:

0.1[x - (x - 2.5)^3/3] [2.5, ∞] = 1

Simplifying and solving for c, we get:

c = 2.5 + [(3/2) - (10/3π)] ≈ 2.641

Therefore, the probability that the actual tracking weight is greater than 2.5 grams is:

P(x > 2.5) = ∫[2.5, ∞] 0.1(1 - (x - 2.5)^2) dx

= 0.1[2.5 - (2.5 - 2.5)^3/3] = 0.1

c) The probability that the actual tracking weight is within 0.1 grams of the prescribed weight is:

P(2.4 ≤ x ≤ 2.6) = ∫[2.4, 2.6] 0.1(1 - (x - 2.5)^2) dx

= 0.1[2(0.1) + (2/3)π(0.1)^3] ≈ 0.063

d) The probability that the actual weight differs from the prescribed weight by more than 0.2 grams is:

P(|x - 2.5| > 0.2) = P(x < 2.3 or x > 2.7)

= ∫[0, 2.3] 0.1(1 - (x - 2.5)^2) dx + ∫[2.7, ∞] 0.1(1 - (x - 2.5)^2) dx

= 0.1[(2.3 - 2.5) + (3/2 - (5/3)π - (2.7 - 2.5))] ≈ 0.019

Therefore, the probability that the actual weight differs from the prescribed weight by more than 0.2 grams is approximately 0.019.

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The complete and correct question is :

Suppose the tracking weight of a stereo cartridge set to track at 2.5 grams on a particular turntable can be modeled by the continuous function f(x) = 0.1(1 - (x - 2.5)^2), where x represents the actual tracking weight in grams.

a) Sketch the graph of f(x).

b) Find the value of c. What is the probability that the actual tracking weight is greater than 2.5 grams?

c) What is the probability that the actual tracking weight is within 0.1 grams of the prescribed weight?

d) What is the probability that the actual weight differs from the prescribed weight by more than 0.2 grams?

Answer:

A=9

Step-by-step explanation:

So basically, just think of "what" minus two equals seven. That'd be nine.

You can also look at it like 7 + 2= A

A=9

Answer:

Son 27 flores amarillas, redondeando*

Step-by-step explanation:

pues pongamos de constante f, entonces la formula sera 4f+5f=48 luego de esto seguira 9f=48 lo que dara como respuesta 5,3; reemplazamos la constante por 5,3 lo que quedaria como: 4x5,3 que es igual a 21,2 (el numero de flores rojas); luego reemplazamos la constante en 5f lo que quedaria como 5x5,3 lo que da 26,5 pero si lo redondeamos nos da 27 y listo uwu

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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Answer:

Step-by-step explanation:

its 212123s\

Answer:

x=-6

Step-by-step explanation:

9-4x=-7x+3+2x

9-4x=-5x+3

9+x=3

x=-6

Answer:

Answer is (-6).

Please mark as the Brainliest!!!!!!!!!!

Step-by-step explanation:

Kindred can use the exponential decay model y = 38976(0.965)x, where x is the number of years, to determine the value of his investment over time.

Kindred can estimate the worth of his investment over time using an exponential decay model. The rate of reduction is assumed to be constant in this kind of model. Y = 38976(0.965)x, where x is the number of years and y is the investment amount, is the equation for this model. Any number of years can be used to calculate the investment amount using this calculation. For instance, if the investment has been losing money at the same rate for three years, the investment's amount would be given by y = 38976(0.965)3. If the rate of decrease is constant, this equation can also be used to forecast the investment's size in subsequent years. For instance, if Kindred wants to know how much his investment would be worth in ten years, then x in the formula would be ten, and the investment's amount would be y = 38976(0.965)ten. Any number of years can be used to calculate the worth of Kindred's investment using this equation.

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The matrix structure is an organizational design that combines functional and divisional reporting lines within the same company. The three conditions which usually exist when the matrix structure is found are multiple projects, interdependency, and a skilled workforce.

This structure facilitates better coordination and communication, allowing organizations to more effectively manage complex and diverse projects.
There are three conditions that usually exist when the matrix structure is found:
1. Multiple Projects: Matrix structures are often used in organizations that manage multiple projects or products simultaneously. These organizations need to allocate resources and personnel efficiently, and the matrix structure enables them to do so by allowing employees to work on various projects while still maintaining their functional roles.
2. Interdependency: In a matrix structure, there is a high level of interdependency among different departments and project teams. This interdependency promotes collaboration and communication, enabling the organization to respond more quickly to changing market conditions and customer needs.
3. Skilled Workforce: Organizations employing a matrix structure usually require a skilled and diverse workforce. These employees must be able to adapt to new challenges, work in cross-functional teams, and possess strong problem-solving skills. The matrix structure allows organizations to leverage the expertise of their workforce by assigning employees to projects based on their unique skill sets.
In conclusion, the matrix structure is an organizational design that combines functional and divisional reporting lines, enabling organizations to manage complex projects more effectively. This structure is typically found in organizations with multiple projects, a high level of interdependency, and a skilled workforce.

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Answer: 1: X = − 19

2:x = 6

Step-by-step explanation:

Answer:

[1] x = -19

[2] x = 6

Explanation:

x - 7 + 7 = -26 + 7

x = -19

x + 5 = 11

x + 5 - 5 = 11 - 5

x = 6

The dimensions of Noah's Ark in feet are 450 feet by 75 feet if the dimensions of Noah's Ark is 3.0 × 102 cubits by 5.0 × 101 cubits.

Noah's Ark is said to have dimensions of 3.0 × 10^2 cubits by 5.0 × 10^1 cubits. To convert these measurements to feet, we can use the conversion factor of 1 cubit = 1.5 feet.

First, we need to convert the length of the ark from cubits to feet. To do this, we multiply the length of the ark in cubits (3.0 × 10^2) by the conversion factor of 1.5 feet/cubit. This gives us a length of

3.0 × 10^2 cubits x 1.5 feet/cubit = 450 feet

Similarly, we can convert the width of the ark from cubits to feet by multiplying the width in cubits (5.0 × 10^1) by the conversion factor of 1.5 feet/cubit. This gives us a width of:

5.0 × 10^1 cubits x 1.5 feet/cubit = 75 feet

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Answer: g(f(10)) = g(√2x+5) = 6x-3

We need to substitute x = √2*10 + 5 into g(x) = 6x - 3

g(f(10)) = 6(√2*10 + 5) - 3 = 6√20 + 30 - 3 = 6√20 + 27

So g(f(10)) = 6√20 + 27.