One way to determine if a square root is rational or irrational is
to_
-Determine if it is the square root of any rational number
-Find out if it is the square root of a perfect square
-Rewrite the square root as a rational exponent

1+ X/4  Quotient= division also like fraction

Answer:

Step-by-step explanation:

Each time you spin your odds are always the same.   Over time the odds may be predicted but each spin has the same odds

The equation of the ellipse graphed in the image is given as ((x-4)²/16) + ((y-6)²/4) = 1.

The standard form equation of an ellipse with center (h,k), horizontal axis of length 2a, and vertical axis of length 2b is,

((x-h)²/a²) + ((y-k)²/b²) = 1

Since the center is given as (4, 6), we have h = 4 and k = 6. The vertex is given as (0, 6) which means the horizontal distance from the center to the vertex is a = 4. Also, the co-vertex is given as (8, 6) which means the vertical distance from the center to the co-vertex is b = 2. Therefore, substituting these values in the equation of an ellipse, we get,

((x-4)²/4²) + ((y-6)²/2²) = 1

Simplifying, we get the equation of the ellipse,

((x-4)²/16) + ((y-6)²/4) = 1

Thus, the equation of the ellipse with center (4, 6), vertex at (0, 6), and co-vertex at (8, 6) is ((x-4)²/16) + ((y-6)²/4) = 1.

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Answer:

Step-by-step explanation:

[tex]\frac{2}{\sqrt{40} }[/tex]

=[tex]\frac{2}{\sqrt{40} }*\frac{\sqrt{40} }{\sqrt{40} }[/tex]            multiply root on top and bottom

=[tex]\frac{2\sqrt{40} }{40}[/tex]                    reduce fraction outside of root

=[tex]\frac{\sqrt{40} }{20}[/tex]                     break up 40 under root

=[tex]\frac{\sqrt{4*10} }{20}[/tex]                  break up roots to see better

=[tex]\frac{\sqrt{4}\sqrt{10} }{20}[/tex]                 √4 = 2

=[tex]\frac{2\sqrt{10} }{20}[/tex]                   reduce fraction outside of root

=[tex]\frac{\sqrt{10} }{10}[/tex]                    answer

The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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The y-intercept of the graph of this function is 5.

Given information:

The linear function passes through the points (0, 5) and (8, -2).

Here, we have to find the y-intercept.

For that, the definition of y-intercept is given as the point where the graph intersects the y-axis.

To find the y-intercept of the graph of this function, we need to identify,

the point where the graph intersects the y-axis.

The y-axis corresponds to the x-coordinate of 0.

Since the function passes through the point (0, 5), we know that the y-intercept is 5.

Therefore, the y-intercept of the graph of this function is 5.

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A compound inequality that represent example 5 is -2 < x ≤ 5.

A compound inequality that represent example 6 is -4 < x < 0.

In Mathematics and Geometry, a number line simply refers to a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Since the open circle and closed circle are located at -2 and 5 respectively, a compound inequality to represent this is given by;

x > -2

x ≤ 5

By combining, we have:

-2 < x ≤ 5.

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The equation is filled as;

366 · (673 + 518) = 366 · 673 + 366 · 518

PEDMAS is described as a mathematical acronym that is used to represent the different mathematical operations in their order of application.

PEDMAS represents the following;

From the information given, we have that;

366 · (673 + 518)

Using the first rule, expand the parentheses

We have;

366(673) + 336(518)

This is also represented as;

366. 673 + 366. 518

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The coordinates of C prime are (-4, -7).

The coordinates of the vertices of triangle ABC are

A(-1, 0)

B(-5, 2)

C(-1, 2)

To find the coordinates of C prime, we need to translate the triangle three units left and nine units down. This means we need to subtract 3 from the x-coordinates of each vertex and subtract 9 from the y-coordinates of each vertex.

So, the new coordinates for each vertex are:

A'(-1 - 3, 0 - 9) = (-4, -9)

B'(-5 - 3, 2 - 9) = (-8, -7)

C'(-1 - 3, 2 - 9) = (-4, -7)

Therefore, the coordinates of C prime are (-4, -7).

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It will take the final worker 21 days to complete the task

If a task can be completed by three men in ten days, the total work is:

3 men * 10 days = 30 man-days.

Let's suppose that each man has the same rate of production, allowing them to finish the work in equal amounts.

One worker left after three days, leaving just two men to do the job. They put in three more days of effort, so they finished the following amount of work in the first six days:

3 men multiplied by 3 days = 9 man-days.

One worker was left to do the job after another man departed after six days. The entire amount of work left is:

30 man-days - 9 man-days = 21 man-days

One man will need to put in 21 man-days of labour, which will need him to:

A man's day is equal to 21 man-days.

Therefore, it will take the final worker 21 days to complete the task

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Using an equation, the number of computers Mr. Victor sold in the morning is 30.

An equation is an algebraic statement that shows the equality or equivalence of two or more mathematical expressions.

Unlike mathematical expressions, equations include the equal symbol (=).

The number of computers Mr. Victor has for sale = 100

Let the number of computers sold in the morning = w

Let the number of computers sold in the afternoon = (2w+3)

Let the number of computers left = 7

The total number of computers, 100 = w + (2w+3) + 7

100 = 3w + 10

3w = 90

w = 30

Thus, since Mr. Victor sold w computers in the morning, w is equal to 30.

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Answer: 44

Step-by-step explanation:

Sum of external is 360  So add all up and make equal to 360

3x+2+2x+x+5+2x+1 = 360

8x + 8 =360

8x=352

x=44

An equation for the transformed logarithm shown below, that passes through points (0, 0) and (-5, 2) is f(x) = 2log₆(x + 1).

By critically observing the logarithmic graph (see attachment) that models the logarithm function, we can logically deduce that it was reflected across the y-axis.

In Mathematics, the general form of a logarithm function is represented by the following mathematical equation:

f(x) = alog(±x + c)

Where:

Note: The vertical asymptote is at x = 1.

Next, we would determine the value of c and a by using the points (0, 0) and and (-5, 2):

0 = alog(0 + c)    .....equation 1.

2 = alog(-(-5) + c)    .....equation 2.

By solving equations 1 and 2 simultaneously, we have:

1 = 0 + c

c = 1.

For the value of a, we have:

2 = alog(5 + c)

2 = alog(5 + 1)

2 = alog(6)

a = 2/log(6)

In conclusion, the required logarithm function in compact form is given by:

f(x) = alog(±x + c)

f(x) = 2/log(6) × log(-x + 1)

f(x) = 2log₆(-x + 1)

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to find the area of the shape we have to find the area of the rectangle first then subtract the area of the 2 semi circles from it. to find the area of the rectangle its 13*6=78. to find the area of a circle you have to do this: radius*radius*pi. the diametre of the circle is 6 so we know the radius is 3. then if we do 3*3*3.14 it will be 28.26. and since there are 2 equal semi circles it is equal to 1 full circle so the area of the 2 semi circles combined is 28.26. Then you just do 78-28.26=49.74 which can be rounded up to 50 cm squared. So the answer is 50 cm squared also pls mark as brainliest answer thx

To calculate the area of the shape, first calculate the area of the rectangle, then deduct the combined areas of the two semicircles. 13*6=78 is the answer to the rectangle's area. To determine a circle's area, follow these steps: radius*radius*pi. Since the circle's diameter is 6, its radius must be 3. therefore the result of 3*3*3.14 is 28.26. The area of the two semicircles combined is 28.26 since there are two equal semicircles, which equals one full circle. The next step is to simply calculate 78-28.26=49.74, which can be rounded up to 50 cm2. The response is 50 cm squared.

Answer:

Step-by-step explanation:

To find the amount needed or available, we need to calculate the total cash collections and the total cash payments for the month, as well as the ending cash balance.

Total cash collections:

- For June sales: 20% collected in August = $40,000 x 0.2 = $8,000

- For July sales: 20% collected in August + 50% collected in September = $65,000 x 0.2 + $65,000 x 0.5 = $19,500

- For August sales: 20% collected in August + 50% collected in September + 25% collected in October = $52,850 x 0.2 + $52,850 x 0.5 + $52,850 x 0.25 = $31,710

- Total cash collections: $8,000 + $19,500 + $31,710 = $59,210

Total cash payments:

- Cash payment: $24,653

- Ending cash balance required: $50,000

- Total cash payments: $24,653 + $50,000 = $74,653

Ending cash balance:

- Beginning cash balance: $14,670

- Total cash collections: $59,210

- Total cash payments: $74,653

- Ending cash balance: $14,670 + $59,210 - $74,653 = -$735

Since the ending cash balance is negative, the company needs additional funds to cover its cash requirements. The amount needed by the bank is the absolute value of the ending cash balance:

Amount needed by the bank = $|-735| = $735

Since the company needs funds, the amount available to repay a loan is $0 - $735 = -$735, meaning that the company needs to borrow $735 to cover its cash requirements.

The shipping container shaped like a cuboid is 9.5 feet tall.

Let's call the height of the shipping container "h".

As per the given information, the shipping container can be described as a cuboid.

We are aware that the container's volume is given by the formula:

V = lwh,

where l stands for length, w for width, and h for height.

Substituting the values provided yields:

3040 = 8 x 40 x h

Simplifying, we get:

3040 = 320h

Dividing both sides by 320, we get:

h = 9.5

Therefore, the height of the shipping container is 9.5 feet.

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Answer:

1/4

Step-by-step explanation:

The probability of tossing tails on a fair coin is 1/2. The probability of rolling a multiple of 2 on a fair six-sided number cube is 1/2 (since there are three multiples of 2: 2, 4 and 6). Since these two events are independent, the probability of both events happening is the product of their individual probabilities: (1/2) * (1/2) = 1/4.

Answer:

- 3 > - 7
  1 < 4

- 6 < 6

Step-by-step explanation:

From ( - ) to ( + ), it becomes greater as you go right side

Note : -

( + ) > ( - )

This is always true.

The algebraic representation of "sum of a number and five" can be written as

n + 5

Where n represents the "number".

In mathematics, an algebraic representation is a way of expressing a mathematical relationship or equation using symbols, letters, and mathematical operations. It is a symbolic representation of a mathematical expression or equation that allows us to work with abstract concepts and manipulate them according to certain rules.

For example, the equation y = 2x + 1 is an algebraic representation of a linear function, where y and x represent variables and 2x + 1 is an expression that relates them. Algebraic representations are often used in algebra, calculus, and other areas of mathematics to describe relationships between quantities, solve equations, and make predictions based on mathematical models.

Hence, the algebraic representation of "sum of a number and five" can be written as

n + 5

Where n represents the "number".

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Answer:

30

Step-by-step explanation:

70

40

Take out the zero

Then 7 - 4 then add a o to get 30

To find f+g, we need to add f(x) and g(x):

f(x) + g(x) = (2x^(2) +5) + (1/2x)

f+g = 2x^(2) + (1/2)x + 5

To find f-g, we need to subtract g(x) from f(x):

f(x) - g(x) = (2x^(2) +5) - (1/2x)

f-g = 2x^(2) - (1/2)x + 5

To find fg, we need to multiply f(x) and g(x):

f(x) * g(x) = (2x^(2) +5) * (1/2x)

fg = x + (5/2)x^(-1)

To find f/g, we need to divide f(x) by g(x):

f(x) / g(x) = (2x^(2) +5) / (1/2x)

f/g = 4x + 10x^(-1)

Evaluating the exponential equation we can see that after 5 years, the account has 2559.02

Here we need to use the formula:

A=P(1+r/n)^nt

Where P is the initial amount.

r is the percentage in decimal form, in this case 0.06

n is how many times it is compounded, in this case 4

t is the variable, in this case years.

Replacing all that we get:

A = 1900*(1 + 0.06/4)^(4t)

Now we want to evaluate this in t = 5, we will get:

A = 1900*(1 + 0.06/4)^(4*5)

A = 2559.02

That is the amount.

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The sentences that is written in subjunctive mood is C. I wish you'd turn the lights off when you leave the room.

The subjunctive mood  can be regarded as the hypothetical scenario  that is been used in English, it can can be considered as the one that is been used to express a wish.

In some cases be used in the process of making  that recommendation, or demand, in the option C it can be seen that it is used to express wishes and this is the reason why it is been considered as a  subjunctive mood.

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Answer: I wish you'd turn the lights off when you leave the room.

The perimeter of the sector in terms of π is (7π+18) cm.

A sector is a shape that is bounded by an arc and two radius.

To calculate the perimeter of the sector, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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The answer of the given question based on the expression is , the value of the summation when m = 3 is 137.

In mathematics, an expression is a combination of numbers, variables, and operators that represents a value or a set of values. It can be a simple combination of numbers and variables or a more complex combination involving mathematical operations like addition, subtraction, multiplication, division, exponents, and roots. Expressions can be used to represent a wide range of mathematical concepts, from simple arithmetic to complex functions and equations.

To evaluate the summation 1(1!) + 2(2!) + 3(3!) + 4(4!) + m(m!), where m = 3, we substitute m = 3 and simplify:

1(1!)+2(2!) +3(3!) +4(4!) +3(3!)

= 1(1) + 2(2) + 3(6) + 4(24) + 3(6) (since n! = n(n-1)! for all positive integers n)

= 1 + 4 + 18 + 96 + 18

= 137

Therefore, the value of the summation when m = 3 is 137.

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Answer:

Step-by-step explanation:

It has a center at (3,5)  and r=4

Draw your center then go out 4 up, down, left, and right

Domain = [(3-4),(3+4)] = [-1, 7]    this is where the function exists for x

Range = [(5-4), (5+4)] = [1, 9]    this is where the function exists for y