What is the value of Tan 0

Answer:

3:23

Step-by-step explanation:

Answer:

12:13 - 01:13=1 hour

01:13-01:13= 1 hour

02:13-03:13= 1 hous

03:13-03:23= 10 minutes

12:13-03:23= 3hr 10min

Answer:

2x+3y=1470

Step-by-step explanation:

The number of subsets that the set S , seasons of the year is 16  .

In the question ,

it is given that

the Set S have elements as the seasons of the year , that is

Set S \(=\) { Summer , Spring , Fall , Winter }

So , the number of elements that are present in the  set S = 4 ,

we know that the number of subsets of the set having n elements is = 2ⁿ .

So , the number of subsets of the set S having 4 elements is =  2⁴ = 16

Therefore , The number of subsets that the set S , seasons of the year is 16  .

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Answer:

the probability that a 2cm² sample of the zircon will reveal at most three tracks is 0.0104

Step-by-step explanation:

Given that; 7

uranium fission tracks occur on average 5 per every square centimeter

i.e λ = 5

the required centimeter square s = 2

let X be the number of uranium fission tracks occur on the average per every square centimeter

therefore X follows poisson distribution

so the average number of tracks occur on 2-centimeter is;

k = λs

k = 5 × 2

k = 10

the required probability is;

P(x ≤ 3) = P( X=0 ) + P( X=1 ) + P( X=2 ) + P( X=3 )

= [ (e⁻¹⁰(10)⁰) / 0! ] + [ (e⁻¹⁰(10)¹) / 1! ] + [ (e⁻¹⁰(10)²) / 2! ] + [ (e⁻¹⁰(10)³) / 3! ]

= 0.00004 + 0.0005 + 0.0023 + 0.0076

= 0.0104

therefore the probability that a 2cm² sample of the zircon will reveal at most three tracks is 0.0104

Answer:

Volume: 366.6

Surface Area: 314.2

Explanation (look at below)

Step-by-step explanation:

Volume:

The radius of this sphere is 5 (half of 10). The equation will be \(\frac{4}{3} \pi\)5^3

When you calculate that, it will become: 366.6<-- rounded to the nearest tenth.

Surface Area:

4\(\pi\)5^2

=100Π

=314.2<-- rounded to the nearest tenth.

314.2 is the nearest tenth digit no.

Answer:

Hey mate.....pls attach the pic..........

Answer:

65 boletos.

Step-by-step explanation:

Sabemos que el precio para un niño es 6 dólares, y el precio para un adulto es 9,20 dólares. Además, el cine se vendió 146 boletos, y recibió 1135,20 dólares.

Vamos a resolver este problema con un sistema, usando 2 varibles.
No sabemos cuantos boletos de niño el cine vendió, entonces el cine vendió <<x>> boletos de niños. Tampoco sabemos cuantos boletos de adultos vendió, entonces vendió <<y>> boletos de adultos.

En total, vendió 146 boletos; el número de los boletos de niños con el número de los boletos de adultos es 146 boletos.

Usando las variables, x + y = 146 boletos.

Esta es una de las equaciones que necesitamos.

Porque todos los boletos de niños es 6 dólares, si el cine vendió <<x>> boletos, su total de ventas (de boletos de niños) es <<6x>> dólares.

Lo mismo es verdad para los boletos de adultos; todos los boletos de adultos es 9,20 dólares, entonces si vendió <<y>> boletos, el total de ventas de boletos de adultos es <<9,20y>> dólares.

En total, las ventas de los boletos de niños + las ventas de los boletos de adultos es 1135,20 dólares.

O, con variables, es 6x + 9,20y = 1135,20

Nuestra sistema es:

x + y = 146

6x + 9,20y = 1135,20

Ahora necesitamos resolver esta sistema.

Podemos usar la sustitución. Vamos a resolver una de las eqaciones para una variable, y después, usar el valor de esa variable para encontrar la solución para una de las variables, y después, usar  esa solución para encontrar la solución de la otra variable.

Podemos mover <<y>> al otro lado.

x + y = 146 => x = 146 - y

Ahora, podemos sustituir <<x>> para 146 - y en 6x + 9,20y = 1135,20

6(146-y) + 9,20y = 1135,20

Multiplica.

876 - 6y + 9,20y = 1135,20

Combina los términos que son los mismos.

876 + 3,20y = 1135,20

Mueva 876 al otro lado.

876 + 3,20y = 1135,20 => 3,20y = 259,20

Divide todo por  3,20.

3,20y/ 3,20 = 259,20/ 3,20

y = 81

Entonces, el cine vendió 81 boletos de adultos.

Recuerda, esta (81 boletos de adultos) no es lo que necesitamos. Necesitamos cuantos boletos de niños vendió.

Entonces, podemos substituir <<y>> con 81 en x = 146 - y. Recuerda que <<x>> es cuantos boletos de niños vendió.

x = 146 - y => x = 146 - 81 => 65

Entonces, el cine vendió 65 boletos de niños.

Answer:

7.99

Step-by-step explanation:

x2 = x^2 I am assuming.

So,

x^2 + 3x = (1.7)^2 + 3(1.7) = 2.89 + 5.1 = 7.99

Answer:

x^2+3x=(1.7)^2+3(1.7)=2.89+5.1=7.99

Answer:

Yes

Step-by-step explanation:

put point (3,28) in the above equation

28=19+3(3)

28=28

\(\LARGE{\text{please\:refer\:to\:the\:"explanation"\:section\:of\:this\:ans}}\)

An easy way to check whether or not a point lies on a line is to plug in the x-coordinate in lieu of x and the y - coordinate in lieu of y As follows :

x - coordinate : 3

y=19+3(3)

y - coordinate : 28

28 = 19 + 9

28 = 28 \(\Large\checkmark\)

LHS = RHS

\(\footnotesize{\text{hope\:helpful}}\)

Answer:

x+2=1

Step-by-step explanation:

It is x=2=1

Answer:

14

Step-by-step explanation:

40 = 100%

If Max got 65% correct, he got 35% wrong.

(100 - 65)

divide 40 by 100:

0.4

multiply by 35:

14

\((\stackrel{x_1}{8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{8}}} \implies \cfrac{ 3 }{ -3 } \implies - 1\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{- 1}(x-\stackrel{x_1}{8}) \\\\\\ y-5=-x+8\implies {\Large \begin{array}{llll} y=-x+13 \end{array}}\)

Answer:

Put it In gogle she will solve it !!

Step-by-step explanation:

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

\( \frac{5}{2} \times \frac{3}{4} \\ \frac{15}{8} \)

Answer:

15/8

Step-by-step explanation:

2.5/2 = 1.25

1.25/2 = 0.625

2.5 - 0.625 = 1.875

1.875 = 75/40 = 15/8

For a dilation with a scale factor not equal to one, the angles and side lengths of the preimage relate to the angles and side lengths of the image because: B. Angles are congruent, side lengths are proportional.

In Geometry, dilation is a type of transformation which changes the size of a geometric figure and the location of its points based on the scale factor, but not its shape.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either enlarge or reduce their size.

Generally speaking, the angles and side lengths of the preimage and image are congruent and proportional when the dilation of any geometric figure with a scale factor that is not equal to one (1).

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Answer:6858

Step-by-step explanation:

The perimeter of the figure with side length of 5 units is 50 units

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

Shape = rectangle

Smaller shapes = squares

Side lengths = 5 units

The perimeter of the figure is calculated as

Perimeter  = Number of visible sides * Side length of the square shape

In this case, we have

Number of visible sides = 10

Substitute the known values in the above equation, so, we have the following representation

Perimeter  = 10 * 5

Evaluate the products

Perimeter  = 50 units

Hence, the perimeter is 50 units

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Answer:

(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0

The quadratic will have equal roots it its discriminant = 0

Answer: The closest estimate for the total amount she earned = $4,500

Step-by-step explanation:

Given: Total hours worked = 287 hours

Earning for each hour = $16

Total earning = (Total hours worked ) x (Earning for each hour)

= $ (287 x 16)

= $ 4592 ≈ $4500

The closest estimate for the total amount she earned = $4500

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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Answer:

The answer is A.

Step-by-step explanation:

For this graph, you are using the linear equation formula: y = mx + b

From the given picture, we can to note that the major axis is located on the x-axis. So, the ellipse equation has the form

where (h,k) is the coordinate of the center, a is the distance from the center one vertex (the one located on the major axis) and b is the distance from the center to the minor axis vertex, that is,

Then, from the picture above, we can note that

So, by substituting these values into our first equation, we get

Therefore, the answer the ellipse equation is:

the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.

\( \boxed{\sf Option \: A\text{:} \: \dfrac{1 + \sqrt{-32}}{4} = \dfrac{1}{4} + \sqrt{2}i} \)

\( \\ \\ \)

We are asked to express the given number in the form a + ib, also known as the algebraic form.

\( \\ \\ \)

\( \\ \\ \)

\( \sf z = a + ib \\\)

Where:

✰ a and b are real numbers and are the complex number's real part and imaginary part, respectively.

\( \\ \\ \)

✰ i is the imaginary unit number and can be expressed as follows:

\( \\ \sf i= \sqrt{-1}\)

\( \\ \\ \)

\( \\ \\ \)

\( \sf z = \dfrac{1 + \sqrt{-32}}{4} = \dfrac{1 + \sqrt{32 \times (-1)}}{4} \\ \\ \\ \sf \diamond \: We \: know \: that \: \sqrt{ab} = \sqrt{a} \times \sqrt{b}. \\ \\ \implies \dfrac{1 + \sqrt{32 \times (-1)}}{4} = \dfrac{1 + \sqrt{32}\times \sqrt{-1}}{4}\)

\( \\ \\ \sf \implies \dfrac{1 + \sqrt{32}\times \sqrt{-1}}{4} = \dfrac{1 + \sqrt{16 \times 2} \times \sqrt{-1}}{4} = \dfrac{1 + 4\sqrt{2} \times \sqrt{-1}}{4}\)

\( \\ \\\)

\( \diamond \: \sf Substitute \: \sqrt{-1} = i. \\ \\ \implies \sf \dfrac{1 + 4\sqrt{2}\times \sqrt{-1}}{4} = \dfrac{1 + 4\sqrt{2} \times i}{4} = \dfrac{1 + 4i\sqrt{2}}{4} \)

\( \\ \\ \: \sf \diamond \: Simplify \: knowing \: that \: \dfrac{a + b}{c} = \dfrac{a}{c}+\dfrac{b}{c}. \)

\( \\ \\ \\ \implies \: \sf \dfrac{1 + 4i\sqrt{2}}{4} = \dfrac{1}{4} + \dfrac{4i\sqrt{2}}{4} = \boxed{\sf \dfrac{1}{4} + \sqrt{2}i} \)

\( \\ \)

Therefore, the first option is correct.

\( \\ \\ \\ \)

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Answer:

b and c

step by step explanation:

14+(-9)

14-9=5

c) -5-(-10)

-5+10=5

Step-by-step explanation:

Let's check them,

Hence, the expression -5-(-10) and 14+(-9) have a difference of 5 .

The missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.

Two angles are referred to as vertical angles is:

According to the vertical angles theorem, two angles that are vertical angles must be congruent to each other, that is, they are equal in measure.

In the image given, as attached below, angle EDF and angle ADC are vertical angles pair. Therefore, based on the vertical angles theorem, they have equal measure (they are congruent to each other).

Thus, the missing reason in step 3: is vertical angles are congruent, while the missing reason in step 5 is: definition of congruency.

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Answer:

A
ed 2023:)

Step-by-step explanation:

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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