Brita has a monthly budget of x dollars. She spends $1,425 on her mortgage every month. One-third of her remaining budget is spent on recreational activities. Which equation below can be used to determine the amount, in dollars, spent on recreational activities?

The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer: -27

Step-by-step explanation:

f'(x) = 0 * x^(-2) + (-2/x^3) = -2/x^3.

So, the derivative of f(x) = 2/x^2 is f'(x) = -2/x^3.

To find f'(x) for the function f(x) = x + 2, we can use the power rule for derivatives.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

In this case, the function f(x) = x + 2 can be written as f(x) = x^1 + 2.

Applying the power rule, we differentiate each term separately:

f'(x) = d/dx (x^1) + d/dx (2)

The derivative of x^1 is 1x^(1-1) = 1x^0 = 1.

The derivative of a constant term like 2 is 0, as the derivative of a constant is always 0.

Therefore, f'(x) = 1 + 0 = 1.

So, the derivative of f(x) = x + 2 is f'(x) = 1.

To find f'(x) for the function f(x) = 2/x^2, we can use the power rule and the constant multiple rule.

The power rule states that if we have a function of the form f(x) = x^n, then the derivative is given by f'(x) = n*x^(n-1).

The constant multiple rule states that if we have a function of the form f(x) = cg(x), where c is a constant, then the derivative is given by f'(x) = cg'(x), where g'(x) is the derivative of g(x).

In this case, the function f(x) = 2/x^2 can be written as f(x) = 2 * x^(-2).

Applying the power rule and the constant multiple rule, we differentiate each term separately:

f'(x) = d/dx (2 * x^(-2))

Applying the constant multiple rule, the derivative of 2 is 0, as it is a constant term.

Applying the power rule, the derivative of x^(-2) is (-2) * x^(-2-1) = (-2) * x^(-3) = -2/x^3.

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Answer:

x + 12 = 30

Step-by-step explanation:

For the answer subtract 12 from 30 to get 18 which would be Manoela's age

Step-by-step explanation:

a)

0.00000000007

b)

0.00000001

Rewriting 4 x 3/6 as the product of a unit fraction and a whole number is: 12 * 1/6

The parameters are given as:

Number - 4

Fraction - 3/6

The following steps can be used to determine the product as the product of a whole number and a unit fraction:

Step 1 - Remember the whole number are those numbers that involve all positive integers and zero.

Step 2 - Also remember that the unit fraction is nothing but a fraction whose numerator is 1.

Step 3 - Write the given expression.

4 * 3/6

Step 4 - Convert the given fraction into a unit fraction by multiplying 4 by 3 in the above expression.

4 * 3 * 1/6

Step 5 - Simplify the above expression.

12 * 1/6

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hey in exchange for me helping you will you help me?

Answer: I include the picture of step-by-step answers for you

From the given box plot, it is found that:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

A box and whisker plot shows five things:

The measures are shown in order, from left to right, hence:

The minimum height is of 156 cm, the first quartile Q1 is 168.1 cm, the second quartile Q2(or the median) is of 173.7 cm, the third quartile Q3 is of 181.4 cm, and the maximum height is of 192 cm.

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Step-by-step explanation:

At least 30 miles but less than 50 miles each week.

Required inequality:

In 4 weeks:

At least 8 but no more than 12 gallons of gas each week, with the cost $2.25 to $2.50 per gallon.

Match the lowest and highest ends. This is converted as:

Simplified:

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

The variance is the difference between the numbers in a set of data, to put it simply. Each number's variability is a statistical statistic that indicates how far off from the mean and from each other number in the set it is.

Here,

Given : mean = 10

varience = 3

Using chebyshevs inequality we have

P(|X-u| ≥ k)≤ \(\sigma^{2}\)/\(k^{2}\)

hence we can have,

=> P(X>15)  ≤ 3/\(5^{2}\)

=> P(X>15)  ≤ 3/25

Therefore, the solution to the given problem is that the upper bound for P(X>15) is 3/25

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Answer:

About 7 minutes

Step-by-step explanation:

3 minutes + 4 minutes= 7 minutes memory used for two songs

Answer:

Step-by-step explanation:

D

The easiest angle to solve for is D. It is made of a perpendicular line and a horizontal line. So d and the right angle add to 180 degrees.

d + 90 = 180          Subtract 90 from both sides.

d = 180 - 90

d = 90

F

f and 66 are also have 1 leg sitting on s straight line.

So f + 66 = 180 because a straight line has 180 degrees.

f + 66 = 180                 Subtract 66 from both sides

f = 180 - 66

f = 114

E

E and 66 are vertically opposite. That means they are equal

E = 66

Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.

To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.

First, let's simplify the equation:

2^x - 2 = 8^4

We know that 8 can be expressed as 2^3, so we can rewrite the equation as:

2^x - 2 = (2^3)^4

Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:

2^x - 2 = 2^(34)

Simplifying the right side of the equation:

2^x - 2 = 2^12

Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:

x = 12

Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

C: x-axis

Step-by-step explanation:

It is the x-axis.

Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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Answer:

can you give me a picture?

Step-by-step explanation:

Triangle BCD and triangle BML are similar by AA similarity. Therefore, option C is the correct answer.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure, ML║CD.

Consider ΔBCD and ΔBML

Here, ∠M=∠C (Corresponding angles are equal)

∠L=∠D (Corresponding angles are equal)

By AA similarity, ΔBCD ~ ΔBML

Therefore, option C is the correct answer.

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The ratio of the length of a tile in the model to the length of an actual tile is 1/8.

The ratio of the area of a tile in the model to the area of an actual tile is 1/64.

From the information, it should be noted that in the model, each tile has length 1/3in and width 1/4 in and the actual tiles have length 1/4 ft and width 3/16ft .

The ratio of the length of a tile in the model to the length of an actual tile will be:

= 1/4 ÷ 2

= 1/4 × 1/2

= 1/8

The ratio of the area of a tile in the model to the area of an actual tile is (1/4 × 1/6) / (2 × 4/3)

= 1/64

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The percent increase of the profit is 15%

In this question, the figures are given as

Profit in March = £2750

Profit in April = £3162.50

The percentage of the increase of the profit is then calculated using the following equation

Increase percentage = (Profit in April - Profit in March)/Profit in March * 100%

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

Increase percentage = (3162.50 - 2750)/2750 * 100%

Evaluate

Increase percentage = 15%

Hence, the increase in percentage is 15%

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The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

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well it would be 17=1/3+13

Therefore , the solution of the given problem of function comes out to be  (g - f)(-1) = 29.

The math lesson covers an extensive variety of subjects, including geometry, integers, one's divisions, construction, and both real and imagined geographic places. A work covers the connections between various variable that all work together to produce the same result. A utility is made up of a variety of distinctive components that cooperate to create distinct results for each input.

Here,

We must first evaluate g(-1) and f(-1) before subtracting the results to obtain (g - f)(-1).

We possess

=> g(x) = 5x + 18

=>  g(-1) = 5(-1) + 18 = 13

=>  f(x) = x² - 17

=>  f(-1) = (-1)² - 17 = -16

Therefore:

=>  (g - f)(-1) = g(-1) - f(-1) = 13 - (-16) = 29

So, (g - f)(-1) = 29.

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A car moves at a constant speed of 50 miles per hour. How long does it take the car to go 200 d = t miles?







time distance

1 hour 50 miles

t 200 miles​

So, using the ratio and proportional

So, the car will take 4 hours to go 200 miles

The answer is : 4 hours

Answer

Explanation

In order to graph the line given, we have to calculate the coordinates by choosing any value for x and getting one for y.

• x = –3

Then, the coordinate is (–2, 5).

• x = –2

The coordinate is (–3, 6).

• x = –1

The coordinate is (–1, 4).

• x = 0

The coordinate is (0, 3).

• x = 1

The coordinate is (1, 2).

• x = 2

The coordinate is (2, 1).

• x = 3

The coordinate is (3, 0).

Finally, we can display these coordinates in a table:

Finally, we graph the points in the Cartesian Plane and unite them with a straight line.

Answer:

c) 13

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {12}^{2} = {c}^{2} \\ 25 + 144 = {c}^{2} \\ 169 = {c}^{2} \\ c = 13\)

Answer:

C) 13

Step-by-step explanation:

Using the formula: \(a^{2} +b^{2}=c^{2}\), we can plug in 5 into a and 12 into b, since c is always the hypotenuse. Plug those numbers into the formula: \(5^{2} + 12^{2} =c^{2}\) and you get 25 + 144 = \(c^{2}\) or 169 = \(c^{2}\). You can then get rid of the square on the c by finding the square root of both sides. So, the square root of 169 would give you the answer of 13.

Answer:

3

Step-by-step explanation:9x3

Answer:

3

Step-by-step explanation:

It’s 3 because its 27 which is 9 times the amount so it would be 9x3 which is 27