College Trig Question!!!!!!!!!!!!!!

Answer: The store paid $84 to purchase the skateboard

Step-by-step explanation:

If the selling price of the skateboard is $147 and the markup is 75%, we can find the cost of the skateboard by working backwards from the selling price.

Let's start by calculating the original cost of the skateboard before the markup was applied. We can do this by dividing the selling price by 1 plus the markup percentage as a decimal:

original cost = selling price / (1 + markup percentage)

Converting the markup percentage to a decimal:

markup percentage = 75% = 0.75

original cost = 147 / (1 + 0.75)

original cost = 147 / 1.75

original cost = 84

Answer:

ANSWER

Step-by-step explanation:

Without knowing the specific function w(x), it is impossible to determine the domain of the inverse function w^-1(x). However, in general, the domain of an inverse function is the range of the original function, and vice versa.

If we assume that w(x) is a one-to-one function (which is necessary for it to have an inverse function), we can determine the range of w(x) and use it to find the domain of w^-1(x).

For example, if we know that w(x) is a function that takes all real numbers except x=2, then the range of w(x) is (-∞,2) U (2,∞). The domain of w^-1(x) is then the same as the range of w(x), which is (-∞,2) U (2,∞). Therefore, the domain of w^-1(x) is x ≠ 2.

Without more information about w(x), we cannot determine the domain of w^-1(x) more precisely.

Hasan travels

Anneliese because the

of Hasan's graph is

that of Anneliese's graph.

The

of the graph tells you the unit rate is in

The result of the operation that we have done here is -5√3.

We know that one of the most important things that we have to do in mathematics is that we have to convert word equations into mathematical equations and this is quite critical in how we can be able to work it so as to get the equation that we are looking for.

We now have that;

5/-3 * 3 * √3

5/-1 * √3

-5* √3

-5√3

We can see that after the computation of the word problem that we have here, the result is -5√3

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some fhdf

djfsirsisdsjfsd

fdfjjjf9d094--djjf9939=3030395944./445335

9514 1404 393

Answer:

  G  (-2, -3) is in the solution set

Step-by-step explanation:

Finding the solution set

You are given the boundary lines for the inequalities, but the graph does not show the solution set.

The line for inequality y < -2x -4 is the one with negative slope that extends from upper left to lower right. The relation of y to the comparison symbol is ...

  y <

indicating that y-values in the solution set will be less than those on the line. The line itself is NOT included in the solution set. That is, "shading" will be below and left of the line.

__

The line for inequality 2x - 4y ≤ 8 is the one with positive slope. Considering the variable with the positive coefficient, its relation to the comparison symbol is ...

  x ≤

indicating that x-values in the solution set will be less than (or equal to) those on the line. The line IS included in the solution set. Shading will be above and left of the line with positive slope.

Then the doubly-shaded area is the quadrant at the left side of the X where the lines cross. The lower boundary of that is included in the set, while the upper boundary is not.

__

Considering the points

Now that you know the location of the solution set, you can decide whether any given point is in it, or not.

Plotting the points, you find that F and G are on the boundary lines, and H and J are outside the solution set. Point F(-2, 0) is on the upper boundary line, so is not in the solution set, either.

The point listed in choice G, (-2, -3) is in the solution sets of both inequalities.

Answer: 0.75

Step-by-step explanation:

Answer:

The truck

Step-by-step explanation:

You need to first find out how many miles per hour each is going. To do this you need to divide. 480/8=60 210/3=70 with this information you just need to take the one that goes faster which is the truck.

Answer:

15x+3

Step-by-step explanation:

distributive property

3*5x= 15x 3*1= 3

B = 12/5 units

We can find the intersection point between these two lines:

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

Formula for the Area of a Triangle:

B = 1/2bh

Substitute 2 for b and 14/5 for h.

B = (1/2) · (2) · (12/5)

Multiply and simplify.

B = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

I hope this helps!  o(〃＾▽＾〃)o

Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ\(_{i}\) is different.

The significance level of the test is, α = 0.05.

The decision rule is:

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Answer:

Step-by-step explanation:

the absolute value bars mean we ignore the sign of the variable

As (a) is always positive for a>0,   |a| = a

For contrast, If the range were a<0 where (a) is always negative, then |a| = -a

Answer:

1/a > 0

Step-by-step explanation:

Answer:

<P = 78.625°

Step-by-step explanation:

All of the angles in a triangle add up to 180.

<R + <Q + <P = 180

We can use x for <P and <Q, as they represent the same value because they are congruent.

<R + x + x = 180

Now, we want to substitute known values in and work backwards to find out what angle <P and <Q are.

2x + <R = 180

Put 22.75 in for <R.

2x + 22.75 = 180

Subtract on both sides.

2x = 157.25

Divide 2 on both sides to isolate x

x = 78.625

Since x represents <P and <Q, that means they are both 78.625 degrees each.

<P = 78.625

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

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Answer:

Step-by-step explanation:

An ordered pair is related to function notation by ...

  (x, y)   ⇔   f(x) = y

where f is the function name, and ( ) enclose the argument(s) of the function.

__

The ordered pair (-6, 8) gets translated into the above form as ...

  f(-6) = 8

__

We are looking for the f(x) value that has 3 in the x-column.

  f(3) = -2

__

We are looking for the x value that has -5 in the f(x) column.

  f(4) = -5

  f(x) = -5 when x = 4

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

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Answer:

33.49 mm³

Step-by-step explanation:

The formula of volume of sphere

\( = \frac{4}{3} \pi {r}^{3} \)

The volume of the sphere

\( = \frac{4}{3} \times 3.14 \times {2}^{3} \)

\( = \frac{100.48}{3} \)

\( = 33.4933333...\)

= 33.49 mm³ (rounded to the nearest hundredth)

Answer:

2x^3-5x^2-28x+15 -------------------------expanded

2x^3-5x^2-28x+15--------------------simplified

Step-by-step explanation:

\left(2x-1\right)\left(x+3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

simplyfied

\left(2x^2+5x-3\right)\left(x-5\right)

=2x^2x+2x^2\left(-5\right)+5xx+5x\left(-5\right)-3x-3\left(-5\right)

=2x^3-5x^2-28x+15

Answer:

To solve a geometric shape, you need to know its properties such as the number of sides, angles, and other measurements that are relevant to the particular shape. Here are some steps to solve a geometric shape:

1. Identify the shape: Determine the name of the shape, such as a square, circle, triangle, or rectangle.

2. Determine the properties: Find out the properties of the shape based on its name. For example, a square has four equal sides and four right angles.

3. Measure the dimensions: Measure the dimensions of the shape such as the length of the sides, the diameter, or the radius.

4. Use formulas: Use the appropriate formulas to calculate missing measurements such as the area or perimeter of the shape.

5. Check your work: Finally, check your work to ensure that all calculations and measurements are correct.

Remember that the solution to a geometric shape problem will depend on the specific properties and measurements of that shape.

Answer:

huh try multiplying

Step-by-step explanation:

The value of b is -6 if the average rate of change of f on the interval [1, b] is −1/6.

It is defined as the change in values of a dependent variable with respect to the independent variables.

It is given that:

f(x) = 1/x

A function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

f(1) = 1

f(b) = 1/b

The rate of change of the function is -1/6

-1/6 = (1/b - 1)/(b - 1)

-1/6[b - 1] = 1/b - 1

-1/6[b - 1] = 1/b [b - 1]

-1/6 = 1/b

b = -6

Thus, the value of b is -6 if the average rate of change of f on the interval [1, b] is −1/6.

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The side x of the triangular base prism is 0.4 centimetres.

The diagram above is a triangular prism. The triangular base of the prism is a right triangle. Therefore, the unknown side x can be found using Pythagoras's theorem,

c²= a² + b²

where

Therefore,

x² = 0.5² - 0.3²

x² = 0.25 - 0.09

x = √0.16

x = 0.4 cm

Therefore,

x = 0.4 centimetres.

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The product that is represented with the algebra tiles is (2x + 2)(2x + 3)

From the question, we have the following parameters that can be used in our computation:

The algebra tiles

Representing the red tile with digit 1

So, we have

Vertical = 2x + 1 + 1 = 2x + 2

Horizontal = 2x + 1 + 1 + 1 = 2x + 3

The product that is represented with the algebra tiles is then calculated as

Product = Vertical * Horizontal

So, we have

Product = (2x + 2)(2x + 3)

Hence, the product is (2x + 2)(2x + 3)

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The measurement of each of the squares will guarantee Mrs. O'Dell has 8 different squares and they are all the same size are 75 centimeters by 100 centimeters.

To begin, let's identify the best way to divide the total area. For this, there are 2 options:

Let's use the first pattern:

Based on this, the dimensions for each section should be 75 centimeters by 100 centimeters.

Note: This question is incomplete; here is the missing section:

Dimensions of the garden: 3 meters x 2 meters

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Answer: Ans is 990. First such a number is 5×0 +2=2, then 5×1 +2=7, like that in all 20 numbers are there from 2 to 97 in A.P.with common difference of 5.

Step-by-step explanation:

Answer:2.24

Step-by-step explanation:

Answer:

arc ABC = 196°

arc DC = 360 - 196 - 70 = 94°  (which looks out of proportion, but so does angle D)

Step-by-step explanation:

arc ABC = 2(∠D) = 2(98°) = 196°

Answer:

18

Step-by-step explanation:

4.2 • 3= 12.60

2.7 • 2= 5.4

12.6+ 5.4=

18.0

Answer:

c

Step-by-step explanation:

Answer: Choice A

Work Shown:

\(m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\\)