look at the photo please ​

Answer:

Banana = 6, the rest is in the picture

Step-by-step explanation:

The number of lemons is 7, and the number of grapes is 2 after using the concept of the linear equation.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equations are in the form of fruits.

We can use trial and error method to find the number of fruits for each one.

As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.

From the first equation:

We can use numbers 7, and 0

The sum of the 7 and 0 is 7

So number of lemons = 0 + 7 = 7

Number of cherries = 0

Number of  grapes = 2

Number of strawberries = 4

Number of oranges = 8

Number of blue fruit = 1

Number of bananas = 6

Number of oranges = 8

Number of Apples = 9

Thus, the number of lemons is 7, and the number of grapes is 2 after using the concept of the linear equation.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

The better investment would be the first option with 6.1% per year, compounded semiannually.

To determine which of the two given interest rates and compounding periods would provide the better investment, we need to calculate the effective annual interest rate (EAR) for each option.

For the first option, the annual interest rate is 6.1%, and it is compounded semiannually. This means that the interest rate is divided into two equal parts, and each part is applied after 6 months.

Using the formula for calculating the EAR with semiannual compounding, we have:

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

Substituting r = 0.061 and n = 2, we get:

EAR = (1 + (0.061/2))^2 - 1

= 0.0619

For the second option, the annual interest rate is 6%, and it is compounded continuously.

We have

EAR = e^r - 1

Substituting r = 0.06, we get:

EAR = e^0.06 - 1

= 0.0618 or 6.18%

Comparing the two effective annual interest rates, we see that the first option with semiannual compounding provides a higher rate of return of 0.0619, while the second option with continuous compounding provides a lower rate of return of 0.0619.

Therefore, the better investment would be the first option with 6.1% per year, compounded semiannually.

Read more about compound interest at

https://brainly.com/question/24274034

#SPJ1

The utility can be used to quantify and compare preferences in decision-making scenarios where performance is not measured by monetary value.

The utility can be used as a measure of preference or satisfaction in decision-making situations where performance is not directly measured by monetary value. Utility refers to the subjective value or desirability that an individual assigns to different outcomes or options.

In such cases, utility can be quantified using a utility function, which maps the outcomes or attributes of the decision problem to a numerical representation of the individual's preferences. This function allows for the comparison and evaluation of different options based on their utility values.

For example, consider a decision involving healthcare treatments. The performance of different treatments may not be easily measured in monetary terms, but individuals may have preferences based on factors such as effectiveness, side effects, or quality of life impact.

Utility can be used to capture these preferences and make a decision that maximizes the overall satisfaction or well-being of the individual.

To use utility in decision-making, it is necessary to understand and quantify individual preferences through techniques like surveys, interviews, or experimental methods. By assigning utility values to different outcomes or attributes, decision-makers can then compare options and select the one that maximizes utility.

However, it's important to note that utility is subjective and varies among individuals. Different people may have different utility functions and weigh attributes differently. Therefore, utility-based decision-making requires taking into account the preferences of the specific individual or group involved.

In summary, utility can be employed in decision-making scenarios where performance is not directly measured in monetary terms. It quantifies subjective preferences and allows for the comparison and selection of options based on the utility values assigned to different outcomes or attributes.

For more question on monetary visit:

https://brainly.com/question/17750211

#SPJ8

Answer:

b) 100

Step-by-step explanation:

The 8 in 814,347 is representing 800,000, the 8 in 438,171 represents 8,000, 800,000 is 100 times bigger than 8,000.

Answer:

B

Step-by-step explanation:

I would think B, because 1/100 would be in the cents digits

hope this helps you :)

Answer:

x = 31 degrees

Step-by-step explanation:

This is a triangle because there are 3 angles so they all add up to 180 degrees.

116 + 33 + x + 180   Add 116 and 33

149 + x = 180    subtract both sides by 149

x = 31

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:

Primero, la formula de Herón dice que:

Para un triangulo de lados a, b, y c

\(area = \sqrt{s*(s - a)*(s - b)*(s - c)}\)

Tal que:

s = (a + b + c)/2

Y el teorema de Pitágoras dice que, para un triángulo rectángulo con hipotenusa H, y catetos A y B, se cumple que:

A^2 + B^2 = H^2

1)

a) Para un triangulo equilátero de 8 cm de lado, tenemos:

a = b = c = 8 cm

reemplazando eso en la ecuacion de s, obtenemos:

s = (3*8cm)/2 = 12cm

Ahora, remplazando s en la ecuacion del area, obtenemos:

\(area = \sqrt{12cm*(12cm - 8cm)*(12cm - 8cm)*(12cm - 8cm)} = 27.7 cm^2\)

b) Podemos dividir al triángulo equilátero en dos triángulos rectángulos, tal que:

Cada uno de esos triángulos rectángulos tiene una hipotenusa de 8 cm.

Cada uno de esos triángulos rectángulos tiene un cateto que es la mitad del largo original de la base, es decir, 8cm/2 = 4cm

Y ambos triángulos comparten un cateto, que es h, la altura del triángulo.

Usando el teorema de Pitágoras, tenemos que:

h^2 + (4cm)^2 = (8cm)^2

Resolviendo esto para h, obtenemos:

h = √( (8cm)^2 - (4cm)^2) = 6.93 cm

Ahora que conocemos la altura del triángulo, la podemos reemplazar en la ecuación del área:

area = b*h/2 = base*altura/2

y sabemos que la base del triángulo equilátero es 8cm, entonces:

area = 8cm*6.93 cm/2 = 27.72cm^2

(El resultado es un poco diferente, pero se debe principalmente a errores de redondeo)

Si redondeamos esta area a una cifra significativa, obtenemos:

area = 27.7 cm^2

2) Problema similar, esta vez tenemos un triángulo equilátero de lado 12cm.

a) a =  b = c = 12cm

s = (3*12cm)/2 = 3*6cm = 18cm

Reemplazando esto en la fórmula del área, obtenemos:

\(area = \sqrt{18cm*(18cm - 12cm)*(18cm - 12cm)*(18cm - 12cm)} = 62.35cm^2\)

b) Ahora usando teorema de Pitágoras:

De vuelta, dividimos el triángulo equilátero en dos triángulos rectángulos.

Ambos tienen una hipotenusa de 12cm

ambos tienen un cateto de 12cm/2 = 6cm

Ambos comparten un cateto que llamaremos h, que es la altura del triángulo.

Ahora aplicamos el teorema de Pitágoras:

(6cm)^2 + h^2 = (12cm)^2

Resolviendo esto para h obtenemos:

h = √( (12cm)^2 - (6cm)^2) = 10.39 cm

Ahora reemplazando esto en la ecuación del área, (recordar que la base de un triángulo equilátero de 12 cm de lado, es 12 cm)

area = b*h/2 = 12cm*10.39 cm/2 = 62.34 cm^2

De vuelta los resultados son equivalentes a una cifra significativa, y podemos asumir que la diferencia se debe, de vuelta, a errores de redondeo.

Answer: 78.5

Step-by-step explanation:

The measure of the exterior angle k is 157° opposite to two interior angles

J and K.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180° and the measure of an exterior angle is the sum of the two opposite interior angles.

Given, In ΔJKL, m∠J = 67° and m∠L = 90°.

∴ The measure of the exterior angle to ∠K is m∠J + m∠L.

= 67° + 90°

= 157°.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

x= -16

Step-by-step explanation:

add 11 to each side.

-2=x/8

multiply both sides by 8

-16=x

Answer:

First train = 365 miles per hour

Second train = 355.2 miles per hour

Step-by-step explanation:

If the speed of the second train is represented by x, then the first train's speed is (x + 9.8)

We can form the following equation:

x + (x + 9.8) = 720.2

2x = 720.2 - 9.8

x = 710.4 / 2

x = 355.2 = speed of second train

Speed of first train = 355.2 + 9.8 = 365

Answer:

1 adult ticket and 7 student tickets were purchased

Step-by-step explanation:

let a represent number of adult tickets purchased and s the number of student tickets purchased, then

a + s = 8 ( subtract s from both sides )

a = 8 - s → (1) ← based on total tickets purchased

10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets

substitute a = 8 - s into (2)

10.5(8 - s) + 7.25s = 61.25

84 - 10.5s + 7.25s = 61.25

84 - 3.25s = 61.25 ( subtract 84 from both sides )

- 3.25s = - 22.75 ( divide both sides by - 3.25 )

s = 7

substitute s = 7 into (1)

a = 8 - 7 = 1

that is 1 adult ticket and 7 student tickets were purchased

The total surface area of the solid shape made from the cube and cylinder is approximately 583.31 cm².

The side length of the cube is 8.7 cm, so the surface area of one face is A = 8.7²

= 75.69 cm²

Since there are six faces, the total surface area of the cube is 6 * 75.69 = 454.14 cm²

Since there are two circular bases, the total surface area of the bases is 2 * 22.91 = 45.82 cm².

In this case, the radius of the cylinder is 2.7 cm and the height is 4.9 cm, so the curved surface area is A_curved = 2 * π * 2.7 * 4.9 ≈ 83.35 cm².

Total surface area = surface area of the cube + surface area of the cylinder

Total surface area = 454.14 cm² + 45.82 cm² + 83.35 cm²

Total surface area ≈ 583.31 cm²

Learn more about area on

https://brainly.com/question/25292087

#SPJ1

Answer:

\(x_{1} =2\)

\(x_{2} =4/5\)

Step-by-step explanation:

\(a=5, b=-14, c=8\)

\(x=\frac{-(-14)+-\sqrt{(-14)^{2}-4(5)(8) } }{2(5)}\)

\(x=\frac{14+-\sqrt{196-160} }{10}\)

\(x=\frac{14+-\sqrt{36} }{10} =\frac{14+-6}{10}\)

\(x_{1} =\frac{14+6}{10} =\frac{20}{10} =2\)

\(x_{2} =\frac{14-6}{10} =\frac{8}{10} =\frac{4}{5}\)
hope this helps

The area of the different types of polygon with given dimensions are,

Area of octagon= 391.07 cm²

Area of pentagon = 232m²

Area of triangle = 21.22in²

Area of hexagon = 11.24square units.

Polygon name = octagon,

Side length = 9cm

Degree of central angle = 360° /8

                                        = 45°

To find Apothem ,

draw right triangle .

base is half of the side length = 4.5

Top angle of the right triangle = (1/2) × 45°

                                                  = 22.5°

Using tangent ratio considering top angle as α

tanα = 4.5/ Apothem length

⇒Apothem length = 4.5 / tan22.5°

⇒Apothem length = 4.5 / (√2 - 1 )

⇒Apothem length = 4.5 / 0.414

⇒Apothem length = 10.86cm.

Area of octagon = 2 ( 1 + √2 ) × (side length)²

                           = 2 × 2.414 × 9²

                           = 391.07 cm²

Polygon name = Pentagon,

Apothem= 8m

Degree of central angle = 360° /5

                                        = 72°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle = (1/2) × 72°

                                                  = 36°

Using tangent ratio considering top angle as α

tanα =   half of side length /Apothem length

⇒(1/2) side length  = 8 × tan36°

⇒ side length = 16 ×  (0.7265)

⇒ side length= 11.62m

Area of pentagon

= 5/2 × side length × distance from the center of sides to the center of pentagon

= 5/2 × 11.6 × 8

= 232m²

Polygon name = triangle,

Apothem= 2in

Degree of central angle = 60°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle =60°

Using tangent ratio considering top angle as α

tanα = half of side length / Apothem length

⇒(1/2) side length  = 2 × tan60°

⇒ side length = 4 (√3)

⇒ side length= 6.928in

                      ≈ 7 in

Area of triangle = √3/4 × 7²

                          = 21.22in²

Polygon name = hexagon,

Apothem= 5

Degree of central angle = 60°

To find Side length ,

Let 'x' be the side length

draw right triangle .

base is half of the side length = x/2

Top angle of the right triangle =30°

Using tangent ratio considering top angle as α

sinα = half of side length / Apothem length

⇒(1/2) side length  = 5 × sin30°

⇒ side length = 10 (0.5)

⇒ side length= 5

distance from center of sides to the center of hexagon

= √5² - 2.5²

=4.33

Area = (3√3)/2 × distance from center of sides to the center of hexagon

        = (3√3)/2 × 4.33

        = 11.24square units.

Therefore, the area of the given polygon are octagon = 391.07 cm² , pentagon =  232m² , triangle = 21.22in² , and hexagon = 11.24square units.

learn more about polygon here

brainly.com/question/24464711

#SPJ1

Answer:

217 344/1000 or 217 43/125

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Two triangles = one square

Since there are 4 squares, then there are 8 triangles

We see one triangle is shaded.

We also see one square is shaded, which means 2 triangles are shaded.

2 + 1 = 3 triangles shaded. Since there are a total of 8 triangles, then the fraction would be 3/8

Answer:

See below.

Step-by-step explanation:

So we have the rational function:

\(f(x)=\frac{x-2}{x^3+x}\)

Now, remember that the domain of rational functions will always be all real numbers... except when the domain is 0.

In other words, to find our domain restrictions, we simply need to solve for the zeros of our denominator.

So, set the denominator to 0 and solve for x:

\(x^3+x=0\)

Factor out an x:

\(x(x^2+1)=0\)

Zero Product Property:

\(x=0\text{ or } x^2+1=0\)

So, our x cannot be 0 according to our first answer.

For the second answer, subtract 1 from both sides:

\(x^2=-1\)

This isn't possible on our coordinate plane. We have no real solution.

Therefore, our only domain restriction is that x cannot be equal to 0.

Therefore, our domain is all real numbers except for x=0.

In set notation, this is:

\(\{x|x\in\mathbb{R},x\neq 0\}\)

And in interval notation, this is:

\((-\infty,0)\cup (0,\infty)\)

The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

Learn more about associative property, click;

https://brainly.com/question/30111262

#SPJ1

Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

Answer:

Solution given:

let x=¼

and y=⅜

and

we have

constant proportionality [k]=\(\frac{y}{x}\)

=\(\frac{⅜}{¼}\)

=\(\frac{3*4}{8*1}=\frac{3}{2}\)

the constant of proportionality of 1/4 and 3/8

The solution is, the constant of proportionality of 1/4 and 3/8 is 3/2.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

Solution given:

let

x=¼

and y=⅜

now,

we have

constant proportionality [k]=y/x

=3/8/1/4

=3/2

Hence, the constant of proportionality of 1/4 and 3/8 is 3/2.

To learn more on division click:

brainly.com/question/21416852

#SPJ2

Answer:

Step-by-step explanation:

If the diameter is 4 meters, then the radius has to be 2 because the radius is half of the diameter.

Answer:

Step-by-step explanation:

Firstly,

angles at the centre of a circle add to 360°. So

      \((15x-1)+\angle ZVX +(8x-2)+(7x+15)+(3x+5)=360\)

                                                             \(33x+17+\angle ZVX=360\)

                                                                               \(\angle ZVX=360-33x-17\)

                                                                               \(\angle ZVX=342-33x\)

Secondly,

\(\angle YVU+ \angle UVW + \angle WVX =180\)°   (since YX is a diameter - angles on a

                                                           straight line sum to 180°)

\((3x+5)+(7x+15)+(8x-2)=180\)

                                   \(18x+18=180\)

                                           \(18x=162\)

                                               \(x=9\)

Substitute \(x=9\) into \(\angle ZVX=342-33x\):

    \(\angle ZVX=342-33\times9=63\)°

Solution: \(\angle ZVX=63\)

Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

Answer:

4

Step-by-step explanation:

substitute the given coordinates of J(3-6) and K(-1,-6) into the distance formula:

=> d = \(\sqrt{(-1-3)^{2} + (-6 + 6)^{2}}\)

=> d = \(\sqrt{16 + 0}\)

=> d = 4

The answer is 0.471 radians.

FORMULA:

Just do 27° × π/180 = 0.4712rad but then cut off the two.

The various answers to the question are:

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

Read more about signal

https://brainly.com/question/14699772

#SPJ1

The possible price for the items if the store sells $600 is (c) $40

From the question, we have the following parameters that can be used in our computation:

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

Read more about supply-demand graph at

https://brainly.com/question/14297698

#SPJ1