how are three or more angles related

Answer:

1.  Graph of function f of x equals 30 multiplied by 0.88 to the power of x

Step-by-step explanation:

We are given that,

Original amount of deodorant in the bottle = 30 grams

The rate of evaporation = 12% = 0.12

That is, we see that the deodorant is decreasing as the number of days increases.

So, the function form of the decrease in the amount of deodorant is given by,

[tex]f(x)=30(1-0.12)^x[/tex], where x is the number of days.

i.e. [tex]f(x)=30(0.88)^x[/tex], where x is the number of days.

Hence, the graph representing the amount of deodorant after x number of days is,

1.  Graph of function f of x equals 30 multiplied by 0.88 to the power of x

Answer:

Slope of 1

Step-by-step explanation:

C.  1

Answer:

(g o f) (x) = 2x + 16

Step-by-step explanation:

" (g o f) (x) )" is called "the composition of f and g."

Evaluating this involves substituting the function f(x) = 2x + 1 for x in g(x) = x+14:

(g o f) (x) = 2(x+1) + 14, or

(g o f) (x) = 2x + 2 + 14, or

(g o f) (x) = 2x + 16

Answer:

2x+29

Step-by-step explanation:

a p e x

This is a comparison problem in mathematics where addition and multiplication are used. Liz and Sejuan together have 5 vegetable plants and since Sean has 3 times what both of them have combined, Sean has 15 vegetable plants.

The problem at hand is about a comparison of the number of vegetable plants between Sean, Liz and Sejuan. It's an example of a comparison problem where addition and multiplication are used to find the solution. First, you need to find the total number of plants that Liz and Sejuan have by adding their plants together (3 + 2). We get a result of 5. Then, we know that Sean has 3 times as many plants as Liz and Sejuan together, so you multiply the combined total by 3 (5 * 3). The result is 15, so Sean has 15 vegetable plants.

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Answer: 43839.13

Step-by-step explanation:

Final answer:

To calculate the amount in the account after 29 years, use the formula for compound interest. The amount in the account will be approximately $40,882.53.

Explanation:

To calculate the amount in the account after 29 years, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times interest is compounded per year, and t is the number of years. In this case, the principal is $4400, the annual interest rate is 8.25%, and since it is not specified, we'll assume interest is compounded annually. So, the formula becomes:

A = 4400(1 + 0.0825/1)^(1*29)

To calculate this, we can enter the expression into a calculator or spreadsheet:

A = 4400(1 + 0.0825)^(29)

After evaluating this expression, we find that the amount in the account after 29 years will be approximately $40,882.53.

A ray in geometric optics represents the path of light as a straight line originating from a point, while a line segment is a part of a line with two endpoints and a measurable length. The properties mentioned can be used to determine if they define a ray or a line segment.

A ray in geometric optics is a straight line that originates at some point. In the context of light, a ray represents the path of light as it travels. When light encounters objects or changes media, it may change direction but it continues to travel in a straight line or as a ray. We can think of a ray of light as a straight line or a laser ray.

A line segment, on the other hand, is a part of a line with two endpoints. It has a definite length and can be measured. In the context of light, a line segment would indicate a finite path of light.

Given the properties mentioned, we can determine if they define a ray or a line segment. If the properties describe a straight line with no defined endpoints, it is a ray. If the properties suggest a line with two endpoints and a measurable length, it is a line segment.

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The ordered pairs will be the points on the parallel line are

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

If [tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} , y_{2} )[/tex] be the two points then the slope of the line is given by

[tex]slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

According to the given question.

We have slope of a line is [tex]\frac{-3}{5}[/tex].

As, we know that the two parallel lines have the same slope.

Now according to the given ordered pairs

A). (-8, 8) and (2, 2)

[tex]slope = \frac{2-8}{2+8} = \frac{-6}{10} =\frac{-3}{5}[/tex]

Therefore, (-8, 8) and (2, 2) are the ordered pairs could be the points on the parallel line.

B) (-5, -1) and (0, 2)

[tex]slope = \frac{2+1}{0+5} =\frac{3}{5} \neq \frac{-3}{5}[/tex]

Hence, the ordered pair (-5, -1) and (0, 2) will never be the points on the parallel line.

C) (-3, 6) and (6, -9)

[tex]slope = \frac{-9-6}{6+3} =\frac{-15}{9} =\frac{-5}{3}\neq \frac{-3}{5}[/tex]

The ordered pair (-3, 6) and (6, -9) will never be the points on the parallel line.

D). (-2, 1) and (3, -2)

[tex]slope = \frac{-2-1}{3+2} =\frac{-3}{5}[/tex]

Therefore, (-2, 1) and (3, -2) are the ordered pairs could be the points on the parallel line.

E). (0, 2) and (5, 5)

[tex]slope = \frac{5-2}{5-0} =\frac{3}{5} \neq \frac{-3}{5}[/tex]

Therefore, (0, 2) and (5, 5) are the ordered pairs could not be the points on the parallel line.

Hence, the ordered pairs will be the points on the parallel line are

(-8, 8) and (2, 2)

(-2, 1) and (3, -2)

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To determine if the given ordered pairs could be points on a parallel line with a slope of -3/5, we can calculate the slope of each line and compare it to the original slope. The pairs (D) (-2, 1) and (3, -2) have a slope of -3/5, making them parallel.

A line with a slope of -3/5 is a line that slopes downwards from left to right. In order for a line to be parallel to this line, it must have the same slope. To determine if the given ordered pairs could be points on a parallel line, we can calculate the slope of each line and compare it to the slope of the original line.

B) (-5, -1) and (0, 2): The slope of this line is (2 - (-1))/(0 - (-5)) = 3/5, which is different from the original slope of -3/5. Therefore, this line is not parallel.

D) (-2, 1) and (3, -2): The slope of this line is (-2-(-2))/(3-(-2)) = -3/5, which is equal to the original slope of -3/5. Therefore, this line is parallel.

E) (0, 2) and (5, 5): The slope of this line is (5 - 2)/(5 - 0) = 3/5, which is different from the original slope of -3/5. Therefore, this line is not parallel.

So, the parallel lines are (D) (-2, 1) and (3, -2).

(n-2) triangles can be formed by drawing all the diagonals from a single vertex.

a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.

Given a convex polygon with n vertices, the number of triangles that can be formed by drawing all the diagonals from a single vertex can be calculated.

a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge

Let's consider a convex polygon with 4 vertices.

(n-2) triangles can be formed by drawing all the diagonals from a single vertex.

Hence, (n-2) triangles can be formed by drawing all the diagonals from a single vertex.

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The equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a television production company charges a basic fee of $4000 and then $2000 per hour when filming a commercial.

Assume that the number of hours required for filming the commercial be [h]. Then, we can write, the equation as follows -

y[h] = 2000h + 4000

The graph of the equation is attached with the answer.

For 4 hours of filming, the production cost would be -

y[4] = 2000 x 4 + 4000 = 8000 + 4000 = 12000

Therefore, the equation in slope - intercept form is as - y[h] = 2000h + 4000 and for 4 hours of filming, the production cost would be $12000.

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Answer:

did u ever find the asnwer? cuz I need it rn

Step-by-step explanation: