What is the value of the expression

4(2+y)
______
2y-x
when x = 2 and y = 47

Answer: [tex]h(x)=549(0.7)^{x}[/tex]

Step-by-step explanation:

Answer:

206 ft

Step-by-step explanation:

Each wire is a hypotenuse of a right triangle in which the height of the tower is one leg and the distance from the anchor of the wire to the base of the tower is the other leg.

Leg 1: 200 ft

Leg 2: 50 ft

Hypotenuse: x

200² + 50² = x²

x² = 40,000 + 2,500

x² = 42,500

x = √42,500

x = 206

Answer: 206 ft

The percentage is the indicating hundredth thus percentage error will be 20%.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Estimated books = 10

Actually number = 8

% error = (10 - 8)/10 x 100 = 20%

Hence "Since the percentage is one-hundredth of a percent, the mistake will be twenty percent.".

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The quotient of the given division problem is 2 remainder is 13.

The number system is a way to represent or express numbers.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

As per the given division problem,

If we divide 77 by 32 then it goes to 2 times that is called the quotient.

The remainder is 77 - 32 x 2 = 13

Hence "The above division issue has a quotient of 2 and a remainder of 13.".

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Answer:

x= 12

Step-by-step explanation:

Y[tex]\alpha[/tex] X

Let the constant be k

For the proportionality sign to be gone,a constant has to be introduced.

Since y varies directly,the constant ( k) will multiply x

Y= kx

Substitute for x=6 and y=36 to find k

36=6x

x = 36/6 = 6

To find the value of x,substitute for k = 6 and y = 72

72= 6x

x = 72/6

x=12

Answer: 12 minutes

Let us suppose the number of minutes per month is 720. ( i have assumed this data from myself, you use any data you want, remember the procedure)

Now, Mark and his brother share the minutes every month equally.

So, clearly, Mark and his brother would get 360 minutes each every month.

Now, Mark has 360 minutes each month

therefore, Mark has 360/30 minutes per day

= 12 minutes each day.

Step-by-step explanation:

Answer:

130 more dollars.

Answer:

130

Step-by-step explanation:

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

your welcome

By solving the given expression we get sinα as a final result.

What is tanx in terms of sinx and cosx ?

Tanx can be defined as the ratio of sinx and cosx and tanx can be defined by ratio of opposite side and adjacent side also.

Given expression,

secα / (cotα+tanα)

secα can be written as 1/cosα

cotα = cosα/sinα

tanα = sinα/cosα

so,

by substituting we get,

(1/cosα ) / ((cosα/sinα) + (sinα/cosα) )

(1/cosα ) / (cos2α+sin2α)/sinαcosα

(cos square x + sin square x = 1 )

(1/cosα ) /(1/sinαcosα)

= sinα

Hence , By solving the given expression we get sinα as a final result.

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Answer:

Step-by-step expl

The first three terms of an arithmetic sequence are as follows 17,13,9

The possible Kids' lunches are 32.

The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a permutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Using permutations:

you have

- 2 possible choices for the size (small and large),

- 2 possible choices for the cheese (with and without),

- 2 possible choices for the side order (fries and onion rings)

- 4 possible choices for the fruit drink (orange, grape, cherry and lemonade)

The total Kids' lunches possible, are the total combinations you can get, therefore:

2 × 2 × 2 × 4 = 32

There are 32 possible Kids' lunches.

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If Robert had 362 in his bank account. If he first spent 54 and then 82 then the amount left in Robert bank account is $226.

Two or more expressions with an Equal sign is called as Equation.

Given that the amount in Roberts bank account is $362.

He first spent 54 and then 82

We need to find the amount left in Robert account.

This we can find by finding the total amount he spent and removing total amount spent from the total amount he has in his account.

The total amount he spend=54+82

Fifty four plus eighty two

136

One hundred thirty six.

The amount left we calculate by subtracting 136 from 362.

362-136

We get 226.

Hence, the amount left in Robert bank account is $226.

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The probability that, for a sample of 40 college games to be played next week, the mean number of holding penalties will be 2 penalties per game or more is of:

0.9582 = 95.82%.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters for this distribution are given as follows:

[tex]\mu = 2.3, \sigma = 1.1, n = 40, s = \frac{1.1}{\sqrt{40}} = 0.1739[/tex]

The probability that the mean number of holding penalties will be 2 penalties per game or more is one subtracted by the p-value of Z when X = 2, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

Z = (2 - 2.3)/0.1739

Z = -1.73.

Z = -1.73 has a p-value of 0.0418.

Hence:

1 - 0.0418 = 0.9582 = 95.82%.

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[tex]w=\sqrt{6},\sqrt{-6}[/tex]

What is modulus ?

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the output is always favourable. The equation is y = |x|.

Given:

[tex]w|w|=6\\w(-w)=6[/tex]  

or

[tex]w(w)=6[/tex]

solving both one by one,

[tex]w(-w)=6\\-w^{2} =6\\w=\sqrt{-6}[/tex]

and,

[tex]w(w)=6\\w^{2} =6\\w=\sqrt{6}[/tex]

[tex]w=\sqrt{6},\sqrt{-6}[/tex]

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The length of the remaining rope is 3.73 meters.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Length of the rope = 5 meters

Length of the rope that is cut away = 1.27 meters

The remaining length of the rope.

= 5 - 1.27

= 3.73 meters

Thus,

The remaining length of the rope is 3.73 meters.

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Domain - the set of possible x-coordinates of a function.

Range - the set of possible y-coordinates of a function.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Domain is:

Range is:

This is not a function as it fails the vertical line test.

Answer:

30.a)  Domain:  [-6, 6]

30.b)  Range:  [-3, 7]

30.c)  Function:  No

31.a)  Domain:  [-2, 2]

31.b)  Range:  [-6, 6]

31.c)  Function:  No

Step-by-step explanation:

Definitions

Interval notation

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

The graph is a conic section (ellipse) and therefore it is not a function.

The smallest x-value is x = -6 and the greatest x-value is x = 6.

The smallest y-value is y = -3 and the greatest y-value is y = 7.

Therefore, the domain and range in interval notation are:

The graph is a not a function as almost all the inputs (x-values) are related to more than one output (y-value).

From inspection of the graph, the endpoints of the continuous line are:

Both endpoints are closed circles, so the values are included in the domain and range.

The smallest x-value is x = -2 and the greatest x-value is x = 2.  

Therefore, the domain in interval notation is:

The smallest y-value is y = -6 and the greatest y-value is y = 6.  

Therefore, the range in interval notation is:

The graph is a not a function as not all inputs (x-values) are related to one output (y-value).

Answer: 1/2

Step-by-step explanation:

The hidden question (that uses $8.95 in the equation) along with the answer is mentioned below.

Given is to write a two-step problem that contains a hidden question about buying something at the mall.

The problem is as follows -

You are visiting a mall where you bought 10 chocolates each of $8.95. You had $100 with yourself. If you are left with with $x, then find x.

Answer to the problem -

We can write the equation for [x] as -

x = 100 - (8.95 x 10)

x = 100 - 89.5

x = 10.5

Therefore, the hidden question along with the answer is given above.

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Parallel lines have the same slope.

If one line has a slope of 6/7, then the other line also has a slope of 6/7.

Answer:

x=1

Step-by-step explanation:

---------- -----------

x =1

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

  (a)  -2

  (b)  y -120 = -2(x -10)

  (c)  y = -2x +140

  (d) 2x +y = 140

Step-by-step explanation:

Given a graph with y-intercept 140 and x-intercept 70, you want the slope and various equations describing the graph.

The line drops from a y-value of 140 to 0 as x increases from 0 to 70. The slope is ...

  m = rise/run = -140/70 = -2

The slope of the line is -2.

The point-slope equation of the line with slope m through point (h, k) is ...

  y -k = m(x -h)

We have a line with slope -2 that goes through the point (10, 120), so we can write the equation as ...

  y -120 = -2(x -10)

In part (a) we identified the y-intercept as 140, so we can write the equation as ...

  y = mx + b . . . . . line with slope m and y-intercept b

  y = -2x +140 . . . . . . line with slope -2 and y-intercept 140

The slope-intercept equation can be converted to standard form by adding the opposite of the x-term to both sides.

  y +2x = -2x +2x +140 . . . . . 2x added to both sides

  2x +y = 140 . . . . . . . . . standard form equation of the line

Answer:i think its the second one

Step-by-step explanation:

The functions f and h are not the same because they are composed of different operations.

A function is a block of code that performs a specific task. It can accept input in the form of parameters, and may return an output. Functions are an important part of programming, as they allow for the repetition of code without having to write the same lines multiple times. This increases code readability and eliminates the need to debug multiple lines of code. Functions can also be reusable, meaning they can be called and used over and over again with different parameters.

Function f takes the ratio of two terms while function h takes the product of two terms. Additionally, the terms in the two functions are different. Function f takes the sum of x and 5 and the difference of x and 7 while function h takes the sum and the difference of the same two terms. As a result, the functions f and h will generate different outputs for the same input.

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The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. The simplest technique is to multiply the room's length and width. The floor surface area for a rectangular room is equal to the length times the width. The formula for this is area = length x width (A = lw).

Given

g(x) = x²

x = 0

x = 3

We must determine the area using the functions f(x) and g(x), which are provided.

ₐ∫ᵇ (f(x) + g(x)) dx

₀∫³ (x² + 15(x + 5)) dx

₀∫³ (x²dx  + ₀∫³15(x + 5)) dx

(x³/3) + 15x²/2 + 75x

₀[x³/3]³ + ₀[15x²/2 + 75x]³

[(3 - 0)³/3] + [15(3 - 0)²/2 + 75(3 - 0)]

27/3 + 15(9/2) + 75(3)

9 + 15(4.5) + 7

76.5 + 225

301.5

The equations whose graphs encompass a region are thus provided. when the region's area is 301.5

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Answer:

25 + 9^3

Step-by-step explanation:

Answer:2

Step-by-step explanation:

car, and arc, however ar is also a word, not distinctly though.

Answer:

-22

Step-by-step explanation:

f(4) = [tex]2^{4}[/tex] + 8 = 24

f(-2) = [tex](-2)^{2}[/tex]-48 = -46

24 + -46 = -22

Answer: B

Step-by-step explanation:

(3,8) and (3,-6) both have an x of 3, but a different y, so the list is not a function. If you remove (3,-6), it is a function because the 3 no longer repeats.