Simplify: (sin(x)tan(x))/cos(x)

Answer:

G68

Step-by-step explanation:

i hope its correct and helpful

The difference between the gas prices in 2013 and 2001 is 3.00

See attachment for the graph of the line of best fit

Start by calculating the slope of the line of best fit using:

\(b = \frac{y_2 -y_1}{x_2 -x_1}\)

From the line of best fit, we have:

\(b = \frac{3 -2}{8 -4}\)

The regression equation is then represented as:

\(\^y = b(\^x - x_1) + y_1\)

So, we have:

\(\^y = \frac 14 (\^x - 4) + 2\)

\(\^y = \frac 14\^x - 1 + 2\)

\(\^y = \frac 14\^x + 1\)

So, the linear regression equation is:

\(\^y = \frac 14\^x + 1\)

In 2001, the value of x is 1.

So, we have:

\(\^y_1 = \frac 14\times (1) + 1\)

\(\^y_1 = 1.25 \\\)

In 2013, the value of x is 13.

So, we have:

\(\^y_2 = \frac 14\times (13) + 1\)

\(\^y_2 = 4.25\)

So, the difference (d) between the prices is:

\(d = 4.25 - 1.25\)

\(d = 3.00\)

Hence, the difference between the gas prices in 2013 and 2001 is 3.00

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

2x - 4y + 3z.

Step-by-step explanation:

Combining like terms, the simplified expression is given by:

2x - 4y + 3z.

How an expression is simplified?

An expression is simplified combining like terms, that is, adding or subtracting the terms that have the same variable.

In this problem, the expression is given by:

4x - 5y + 2z + y - 2x + z.

The like terms are given as follows:

4x - 2x = 2x.

-5y + y = -4y.

2z + z = 3z.

Hence the simplified expression is given by:

2x - 4y + 3z.

The simplified expression of the expression  3x − 4y + z − 2z + x − y is 4x -5y-z

An expression is combination of variables, numbers and operators.

The given expression is 3x − 4y + z − 2z + x − y

Three times of x minus four times of y plus z minus two times of z plus x minus y

Plus and minus are operators

x, y and z are the variables.

3x − 4y + z − 2z + x − y

Combine the like terms

4x -5y-z

Hence, the simplified expression of the expression  3x − 4y + z − 2z + x − y is 4x -5y-z

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Answer:

2 forms

Step-by-step explanation:

hope this helps <3

\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)

\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)

\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)

\( \sf \longrightarrow \: \frac{30}{8} \\ \)

\( \sf \longrightarrow \: \frac{8}{30} \\ \)

\( \sf \longrightarrow \: 0.26 \\ \)

_____________________________

Answer:

a. 5

b. 10

c. 15

d. 4

e. 6

f. 9

Step-by-step explanation:

It asks for the indicated distance, which would translate as the absolute value of the distance between the two points. Using that, it is simple subtraction to find your answer.

Answer:

F(d) = 30 + 0.50d

Step-by-step explanation:

Given

Charges = P8.00 ---- first 4 km

Additional = P0.50

Required

Write a function to address the scenario.

Represent the whole distance covered with d.

First,we need to determine the total charges for the first four hours.

Charges = 8.00 * 4

Charges = 32.00

Next, we determine the charges for additional distance.

Charges = 0.50 * (d - 4)

d - 4 is the remaining distance after the first 4.

Charges = 0.50d - 2

The function is then written as;

F(d) = 32 + 0.50d - 2

F(d) = 32 - 2 + 0.50d

F(d) = 30 + 0.50d

Answer:

C) 6 (6w +5)

Step-by-step explanation:

6w+5 ≠ 36w +30

66 ≠ 36w +30

6 (6w +5) -> 36w + 30 = 36w +30

66w ≠ 36w +30

This leaves us with the option of 6 (6w +5)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

d) 1/12

Step-by-step explanation:

No. The reported return rate appears lower than expected.

To determine whether the reported rate of return is reasonable or not, we can calculate the expected rate of return based on the investment amount and the ending value of the account.

First, we need to calculate the total number of quarters that have elapsed between the initial investment and the current quarter. Let's assume that the investment has been held for n quarters.

Then, we can use the following formula to calculate the expected rate of return:

Expected rate of return = (Ending value / Initial investment) ^ (1/n) - 1

Plugging in the given values, we get:

n = 1 (since we are only given information for a single quarter)

Initial investment = 26,245

Ending value = 26,292

Expected rate of return = (26,292 / 26,245) ^ (1/1) - 1 = 0.18%

Comparing the expected rate of return of 0.18% with the reported rate of return of -0.02%, we can see that they are quite different. However, it's important to note that a single quarter's rate of return may not be indicative of the overall performance of the investment.

Therefore, while the reported rate of return seems lower than expected, we would need to consider the performance over a longer period of time to make a more informed assessment of the investment's performance.

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Answer:

Step-by-step explanation:

5ht dogs=1.50 each

2hamburger=4.00 each

equals15.50

1 ht dog=1.50

4hamburger=16.00

total equals 17.50

hot dog dinner =1.50

The required velocity and position of the object at time t for the given acceleration a(t) is given by v(t) = (t, 1/2t^2) and r(t) = (1/2t^2, 1/6t^3 - 1/2) respectively.

Velocity of the object at time t,

Integrate the acceleration function a(t) with respect to time.

This gives us the velocity function v(t),

v(t)

= ∫a(t)dt

= (∫1dt, ∫tdt)

= (t, 1/2t^2) + C

where C is a constant of integration.

The value of C using the information that v(0) is parallel to the x-axis,

v(0)

= (0, C)

=(k, 0)

where k is some constant.

This means that C must be equal to 0.

And k must also be equal to 0 in order for v(0) to be parallel to the x-axis.

Velocity function is,

v(t) = (t, 1/2t^2)

Position of the object at time t,

Integrate the velocity function v(t) with respect to time.

This gives us the position function r(t),

r(t)

= ∫v(t)dt

= (∫t dt, ∫1/2t^2dt) + C'

where C' is a constant of integration.

Value of C' using the information that the object is at the origin when t=1,

r(1)

= (0, 0)

= (C', 1/2 + C'')

where C'' is another constant.

This means that C' must be equal to 0.

And C'' must be equal to -1/2 in order for the object to be at the origin when t=1.

Position function is,

r(t) = (1/2t^2, 1/6t^3 - 1/2)

Therefore, the velocity of the object and the position of the object at time t is equal to v(t) = (t, 1/2t^2) and r(t) = (1/2t^2, 1/6t^3 - 1/2) respectively.

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Answer:

look below

Step-by-step explanation:

(7.25 * 2) + 5.50 + (3 * 1.80) + 4.85

Lets combine

(7.25 * 2) + (3 * 1.8) + 10.35

7.25 * 2 is 14.50

3 * 1.8 is 5.4

14.50 + 5.4 + 10.35

is $30.25 before tip

(Tip should be 6.05 minimum, 20% of 30.25 is 6.05)

One true statement about the equation is that if Albert continues to follow his diet and exercise plan, his weight will decrease by 5 pounds per week. Another true statement is that if x is zero, which represents the start of his diet and exercise plan, his weight will be 250 pounds.

An equation is a mathematical statement that shows that two expressions are equal. It typically consists of two sides, a left-hand side and a right-hand side, connected by an equal sign "=". The expressions on either side of the equal sign can be numbers, variables, or combinations of both.

Here,

The equation y = 250 - 5x represents a linear model that describes the relationship between Albert's weight (y) and the number of weeks he has been dieting and exercising (x).

The coefficient of x in the equation is -5, which indicates that Albert is losing weight at a rate of 5 pounds per week. The y-intercept of the equation is 250, which represents Albert's initial weight before he started dieting and exercising.

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Complete question:

Albert is trying to lose weight. He has made a linear model to help him keep track of his weight, y, after x weeks of diet and exercise:

y = 250 - 5x

Which statement is TRUE about the equation?

The equation y = 250 - 5x represents a linear model that describes the relationship between Albert's weight (y) and the number of weeks he has been dieting and exercising (x).

The coefficient of x in the equation is -5, which indicates that Albert is losing weight at a rate of 5 pounds per week.

The y-intercept of the equation is 250, which represents Albert's initial weight before he started dieting and exercising.

Step-by-step explanation:

Area= 13.86 cm²

πr²= 13.86 cm²

r= √13.81 ×7/22

r= 2.1 cm

Circumference= 2πr

= 2 × 22 × 2.1 / 7

=13.2 cm

Answer:

circumference is the outside area of a circle

area of the circle is the inside area

Answer:

Eliminating the parameter, the equation is \(y = x - 2\)

Step-by-step explanation:

We are given the following parametric equations:

\(x = t^2 + 1\)

\(y = t^2 - 1\)

We want to eliminate the parameter t. From the first equation:

\(x = t^2 + 1\)

\(t^2 = x - 1\)

Replacing in the second equation:

\(y = x - 1 - 1\)

\(y = x - 2\)

Eliminating the parameter, the equation is \(y = x - 2\)

Answer:

see below

Step-by-step explanation:

3 red sections, 2blue sections, and 1 purple section = 6 sections

P( red) = red/total = 3/6 =1/2

P( blue) = blue/total = 2/6 =1/3

P( purple) = purple/total = 1/6

Answer:

This is the answer

Step-by-step explanation:

The correct answer is D. Both A and B

Explanation:

Bartering is an economic system in which products are directly exchanged for other products. For example, a pound of oranges is exchanged for a pound of rice. Due to this, in bartering, there is no money or elements such as coins or bills that represent the value of products or services. This system has both advantages and disadvantages in comparison to the use of money.

In terms of disadvantages, bartering implies individuals need products or services they can use to exchange, which might not be possible for all individuals as not all individuals might produce a product or have a product other are interested in. Also, in bartering the value of products varies, for example, a pound of blueberries can be equal to a pound of rice, three pounds of rice, or even half pound of rice, as values change according to the situation of those participating in the exchange. This means, in bartering the value fluctuates and it is more difficult to agree on the value of something, which does not occur if money is used as each product has a defined price which might just vary slightly. According to this, options A and B are advantages of money over bartering.

The class of the equation and the cross section equation are;

The equation is a hyperboloid of two sheets

The cross sections are;

Equation at z = 0 is; y²/8 - x²/8 = 1

Equation at y = -4 is; x²/8 + z² = 1

Equation at y = 0 is; x²/8 + z² = -1

Equation at y = 4 is; x²/8 + z² = 1

Equation at x = 0 is; y²/8 - z² = 1

An equation is a mathematical statement which indicates the equivalence two expressions by joining them with the '=' sign.

The equation can be presented as follows;

y² = x² + 8·z² + 8

y² - x² - 8·z² = 8

y²/8 - x²/8 - z² = 1

The above equation is the equation of an hyperboloid of two sheets, where;

a² = 8, b² = 1, and c² = 8

Please find attached the diagram of the surface, created with an online 3D graphing tool.

The equation for the cross section at z = 0, can be obtained by plugging in z = 0, into the equation as follows;

y²/8 - x²/8 - 0 = 1

y²/8 - x²/8 = 1

The above equation is the equation of an hyperbola in the xy plane

The equation for the cross section at y = -4, can be obtained by plugging in y = -4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 4²/8 = -1

- x²/8 - z² = -1

x²/8 + z² = 1

The above is an equation of an ellipse in the xz plane

The equation for the cross section at y = 0, can be obtained by plugging in y = 0, into the equation as follows;

0²/8 - x²/8 - z² = 1

- x²/8 - z² = 1

Therefore; x²/8 + z² = -1

The equation for the cross section at y = 4, can be obtained by plugging in y = 4, into the equation as follows;

4²/8 - x²/8 - z² = 1

- x²/8 - z² = 1 - 2 = -1

x²/8 + z² = 1

The above equation is the equation of an ellipse in the xz plane

The equation for the cross section at x = 0, can be obtained by plugging in x = 0, into the equation as follows;

y²/8 - 0²/8 - z² = 1

y²/8 - z² = 1

The equation is the equation of an hyperbola in the yz plane

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Answer:

x=-1

Step-by-step explanation:

plug in zero for y

y= -1/2x -2

0= -1/2x-2

2= -1/2x

-1=x

Answer:

write it so that we can know

now I can't see

Answer:

the original figure before a transformation has been performed.

Step-by-step explanation:

The pre-image is referred to as: D. the original figure before a transformation.

In transformation, pre-image is the term used to describe the original figure before a figure was translated, rotated, or dilated.

The new image formed after transformation is called the image, while the original image before transformation is called pre-image.

Therefore, the pre-image is referred to as: D. the original figure before a transformation.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer:

C. c = 64 + 2w

Step-by-step explanation:

You're starting with 64 customers and you're gaining 2 for each week.

good luck, i hope this helps :)

Answer:

C. 64 + 2w

Step-by-step explanation:

Answer:

E. 64%

Step-by-step explanation:

The table above is a two-way frequency table which consists of two variables - job status of students and their car ownership.

The columns of the table shows whether job status of the students, whether they have a job or not, while the rows shows us whether the student has a car or not.

From the table, the cell that has 94, tells us the total number of students that were surveyed.

The number of students that have a car is represented by the first row = 38 + 22 = 60 students.

% of students in the survey who have a car = no. of students who have a car ÷ total number of students surveyed × 100%

= 60/94 × 100 = 63.8 ≈ 64%.

Answer:

64%

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

because they are both above 5 so add 1

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB