A trader sold a toaster oven for $10,000 and lost 15% of what he paid for it. How much did he pay for the toaster?​

b=(x+7)a=(x=1)=180 then 37

Answer:

Exact form: x = 3, -3/4 or Decimal form: x = .75, -3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Exact form:

x = 3/4, -3

Decimal form:

x = .75, -3

The experimental variable is plotted on the x-axis in a graph, while the y-axis represents the dependent variable or the outcome being measured in response to changes in the independent variable.

In a graph, the experimental variable is typically plotted on the x-axis. The x-axis represents the independent variable, which is the factor being manipulated or controlled by the experimenter. This variable is often plotted horizontally along the bottom of the graph.

The y-axis, on the other hand, represents the dependent variable, which is the outcome or result that is measured or observed in response to changes in the independent variable. The y-axis is typically plotted vertically along the side of the graph.

The x-axis and y-axis together form a Cartesian coordinate system, with the x-axis representing the horizontal axis and the y-axis representing the vertical axis. This allows for the representation of the relationship between the independent and dependent variables in the form of a scatter plot, line graph, bar graph, or other types of graphs.

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\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Angles.

Since the angle ABC is a Right angle ,also an angle of square, so it's 90°

====>Angle ABC = 90°

The probability to form a triangle using the endpoints of the sticks is 3/35 or approximately 0.0857 (rounded to four decimal places).

Length of the seven sticks in inches = 2, 3, 5, 7, 11, 13, and 17.

Number of sticks selected randomly = 3

To determine the probability of forming a triangle by randomly selecting three sticks from the given set,

Consider the triangle inequality theorem.

According to the theorem, for a triangle to be formed,

The sum of the lengths of any two sides of the triangle must be greater than the length of the third side.

Let us analyze the possibilities,

Selecting sticks with lengths 2, 3, and 5,

In this case, we can form a triangle because 2 + 3 > 5, 3 + 5 > 2, and 5 + 2 > 3.

Selecting sticks with lengths 2, 3, and any other stick greater than 5,

As the longest stick is greater than the sum of the two smaller sticks (2 + 3), we can form a triangle.

Selecting sticks with lengths 2, 3, and the longest stick (17),

In this case, we cannot form a triangle because 2 + 3 is not greater than 17.

In total, there are 3 possible combinations that can form a triangle out of the total 7C3 = 35 combinations selecting 3 sticks out of 7.

Probability

= favourable outcomes / total number of outcomes

= 3/ 35

Therefore, the probability of forming a triangle is 3/35.

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In this problem, we are given measurements of the absolute refractory period for five mice that were fed a specific amount of aldrin, a poisonous pesticide. We will use statistical methods to perform hypothesis testing and draw conclusions.

Part a: The mean refractory period is calculated as the sum of the measurements divided by the number of mice:

Mean refractory period = (2.3 + 2.3 + 2.4 + 2.5 + 2.6) / 5 = 2.42 milliseconds

The standard error of the mean can be calculated as the standard deviation of the measurements divided by the square root of the number of mice:

Standard error of the mean = standard deviation / sqrt(n)

Using a calculator or software, we can find the standard deviation of the measurements to be approximately 0.129 milliseconds. Therefore, the standard error of the mean is:

Standard error of the mean = 0.129 / sqrt(5) = 0.058 milliseconds

Part b: To determine if the data provide evidence to support the theory that aldrin poisoning increases the refractory period, we can perform a hypothesis test. We will use a one-sample t-test, with the null hypothesis being that the mean refractory period for poisoned mice is equal to the known mean refractory period for unpoisoned mice (2.32 milliseconds), and the alternative hypothesis being that the mean refractory period for poisoned mice is greater than 2.32 milliseconds.

Using a calculator or software, we can find the t-value to be approximately 2.148, and the p-value to be approximately 0.06. Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, we do not have sufficient evidence to conclude that aldrin poisoning increases the refractory period.

In conclusion, based on the hypothesis test, we cannot support the theory that aldrin poisoning increases the refractory period. However, it is important to note that the sample size of only five mice is relatively small, and we cannot rule out the possibility of a type II error. Further research with larger sample sizes would be necessary to draw more definitive conclusions.

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The value of x for the given right triangle is 2 units.

According to the question,

We have the following information:

We have a right triangle where the measurements of its sides are given and one angle is given.

We can use trigonometric function to find the value of x for this triangle.

So, we have the following expression:

Sin 60 = √3/x

Putting the value of sin 60:

√3/2 = √3/x

Using the cross multiplication method:

√3x = 2√3

Dividing by √3 on both the sides:

x = 2 units

Hence, the value of x for the given right triangle is 2 units.

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Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 12 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , then

y = 3x + c ← is the partial equation

To find c substitute (1, - 2 ) into the partial equation

- 2 = 3 + c ⇒ c = - 2 - 3 = - 5

y = 3x - 5 ← equation of parallel line

The area of the composite figure with the given sub shapes is 99.13ft².

The area of composite shapes refers to the space occupied by any composite shape. A composite shape is a shape that is made by connecting a few polygons to form the required shape.

These figures or shapes can be built from a wide range of shapes, such as triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

Here in the question,

We have a semi-circle with diameter, d = 8ft

Triangle with base, b = 8ft and height, h = 6ft

Rectangle with length and breadth, 10ft and 5ft respectively.

Now area of semi-circle = πr²/2

= 3.14 × (8/2) ²/2

= 3.14 × 4²/2

= 3.14 × 8

= 25.12ft²

Now the area of the triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 48/2

= 24ft²

Now area of the rectangle = l × b

= 10 × 5

= 50ft²

So, the total area = 25.12 + 24 + 50

= 99.12ft².

Therefore, the area of the composite figure is 99.12ft².

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The complete question is:

5 ft 8 ft 6: ft Find the area. 10 ft 5 ft/ Remember: A = πr² A = [?] ft² Round to the nearest hundredth Use 3.14 for T. Enter​

Answer:

Therefore, based on the given scatter plot, the set of numbers that matches the points is C. 8,9,8,10,8,11.

Step-by-step explanation:

The scatter plot shown represents a set of nine points on a coordinate plane. Each point consists of an x-coordinate and a y-coordinate. To determine which set of numbers corresponds to the scatter plot, we need to analyze the pattern in the given points.

Looking at the scatter plot, we observe that the x-coordinates range from 0 to 10 with an increment of 1, while the y-coordinates seem to vary.

Now let's examine the given answer choices:

A. .4,4,5,5,6,6

B. .4,10,4,11,4,12

C. 8,9,8,10,8,11

D. 10,10,10,11,10,12

Set C (8,9,8,10,8,11) among these answer choices matches the pattern observed in the scatter plot. The x-coordinates in the scatter plot range from 0 to 10, and the y-coordinates correspond to the numbers provided in set C.

Therefore, based on the given scatter plot, the set of numbers that matches the points is C.

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Answer:

x = 6

Step-by-step explanation:

Perimeter of the rectangle = 34 ft

Length of the rectangle = 3(x-2) ft

Width of the rectangle = 4x-7+(-2x) ft

= 4x - 7 - 2x

= 2x - 7 ft

Perimeter of a rectangle = 2(length + width)

34 = 2{3(x-2) + 2x - 7 }

34 = 2{3x - 6 + (2x - 7)}

34 = 2(3x - 6 + 2x - 7)

34 = 2(5x - 13)

34 = 10x - 26

34 + 26 = 10x

60 = 10x

x = 60/10

x = 6

Length of the rectangle = 3(x-2) ft

= 3(6 - 2)

= 3(4)

= 12 ft

Width of the rectangle = 2x - 7 ft

= 2(6) - 7

= 12 - 7

= 5 ft

Answer:

Step-by-step explanation:

The worth of the card =$75

The value of the card decreases after each music purchase forming a sequence:

75,74.11,73.22,72.33...

Now,

We see that the sequence forms an arithmetic sequence:

Where the first term, a is 75

Common difference, d=-0.89

We want to write an equation to define A(n), the amount of money on the gift card after n song purchases.

For an arithmetic sequence,the nth term A(n)=a+(n-1)d

Therefore:

The amount of money on the gift card after n song purchases.

A(n)=75-0.89(n-1)

A(n)=75+0.89-0.89n

A(n)=75.89-0.89n

To find out how many songs can Josh purchase with this card only, we take our nth term A(n) of the sequence to be 0 and solve for n.

A(n)=75.89-0.89n

0=75.89-0.89n

0.89n=75.89

Divide both sides by 0.89

n=85.3

n=85

Therefore, Josh can purchase 85 songs with this card only

The ratio of cost to the number of cans = 5: 2  

A ratio is a mathematical concept that represents the relationship between two or more values.

In the given problem, the ratio represents the relationship between the cost of the soup and the number of cans purchased.

Ratios are commonly used in mathematics, finance, and other fields to express comparisons and relationships between different quantities.

Here we have

$10 for 4 cans of soup  

The required ratio can be formed as follows

=> 10: 4

=> 10/2: 4/2   [ Divided by 2 ]

=>  5: 2

Therefore,

The ratio of cost to the number of cans = 5: 2    

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Answer: Rotation

Step-by-step explanation: The shape is not moving or reflecting in any way. It is just rotating.

For the general quadratic equation:

the solutions are given by the quadractic formula

The discriminant tells you how many possible solutions a particular quadratic equation has and is given by the term into the square root:

If the discriminant is negative, the quadratic equation has no real solutions because the square root of negative numbers is not defined (yet)

The real solutions correspond to the x-intercepts of a given graph. Then, the answer is: x-intercepts. That is because the equation

is the same as

that is, the solutions are the x-values where y is equal to zero, which are the x-intercepts.

In other words, they are the locations where the function crosses or touches the x-axis

When Myriam was flying in the plane at a cruising altitude of 10 km, she felt no different sitting in her seat than she had felt on the ground. This is because both the plane and its occupants, including Myriam, are moving at the same speed and direction relative to each other. In other words, there is no relative motion between Myriam and the plane's interior.

From the perspective of the passengers inside the plane, they are essentially moving together as a single unit. The air inside the cabin is also moving with the same velocity as the plane. Therefore, there is no noticeable change in sensation or feeling of motion. This is similar to how we don't feel the motion of being inside a moving car if we are not looking outside or feeling any external forces.

The sensation of motion primarily arises when there is a change in velocity or when there are external forces acting on our bodies. In the case of an airplane flying smoothly at a constant speed and altitude, there are no significant forces or changes in velocity experienced by the passengers, so they feel no different than if they were on the ground.

The magician's trick of pulling a tablecloth out from under a set of dishes on a table is explained by the principle of inertia, which is a fundamental concept of Newton's First Law of Motion. According to Newton's First Law, an object at rest tends to stay at rest, and an object in motion tends to stay in motion with the same speed and direction, unless acted upon by an external force.

When the magician pulls the tablecloth rapidly, the key is to apply a quick and forceful pull in a horizontal direction. By doing so, the frictional force between the tablecloth and the dishes is overcome, and the tablecloth slides out from underneath the dishes. Due to the inertia of the dishes, they tend to resist changes in their state of motion, so they remain relatively stationary even as the tablecloth is rapidly removed.

The magician's trick is more successful when the tablecloth is pulled rapidly rather than slowly. Pulling the tablecloth slowly would increase the time over which the frictional force acts, causing a greater chance for the dishes to be affected by the force and potentially get disturbed or toppled. A rapid pull reduces the duration of the force acting on the dishes, allowing them to maintain their state of motion (or rest) due to inertia and minimizing the likelihood of disruption.

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Answer:

No

Step-by-step explanation:

We have to solve the equation.

5x+1=6

     -1  -1

5x=5

/5   /5

x=1

No, 3 isn't a solution.

-hope it helps

Answer:

No

Step-by-step explanation:

5(3) + 1 = 6

15 + 1 = 6

16 = 6 not true

Answer:

48 to 32  8 to 4 4 to 2 24 to 16

Step-by-step explanation:

Step-by-step explanation:

The difference between the sector and the segment of a circle is :

Sector ➡ The region enclosed by any two radii and the corresponding arc of a circle is a sector of the circle.

Whereas

Segment ➡ The region enclosed by a chord and corresponding arc is called the segment of a circle.

Hope it will help :)❤

We have been given image of a circle. We are asked to find the measure of angle WTV.

We know that measure of an inscribed angle is half the measure of intercepted arc.

We can see that angle WTV is inscribed angle to arc WV. So measure of angle WTV will be half the measure of arc WV.

\(\angle WTV=\frac{1}{2}\widehat{WV}\)

\(\angle WTV=\frac{1}{2}\cdot 90^{\circ}\)

\(\angle WTV=45^{\circ}\)

Therefore, the measure of angle WTV is 45 degrees and 2nd option is the correct choice.

Answer: she made 4 bracelets.

Step-by-step explanation:

Let x, y, z are the number of three kinds of beads, where x= number of pink beads.

As per given, number of pink beads= half of total beads  

\(\Rightarrow\ x=\dfrac{1}{2}(x+y+z)\\\\\Rightarrow 2x= x+y+z\\\\\Rightarrow\ x= y+z\ \ \ ...(i)\)

Also, She used all pink beads,  Number of pink beads she used for each bracelet= one eighths of the total number of beads

\(\dfrac{1}{8}(x+y+z)\\\\=\dfrac{1}{8}(x+x)\ \ \ [ {\text{From (i)}}]\)

\(=\dfrac{1}{8}(2x)\\\\=\dfrac{x}{4}\)bracelets =

Number of bracelets = (Number of pink beads) ÷ (Number of pink beads used for each bracelet)

\(=\dfrac{x}{\dfrac{x}{4}}=4\)

Hence, she made 4 bracelets.

Answer:

(4r-5)(r+1)=0

Step-by-step explanation:

If you multiply this out, you will get the original equation.

Answer:

The answer is the last option or 6.

Over 2 days, 12 likes were added.

12/2 is 6.

Over an additional 3 days, 18 likes were added.

18/3 is 6.

So, the average rate of change is 6.

Answer:

13, 11

Step-by-step explanation:

common difference=-2

15+(-2)=13

13+(-2)=11

Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

Answer:

$50.00

Step-by-step explanation:

Answer:

The correct answer is: 49.82

Step-by-step explanation:

First, you have to turn 6% into a decimal.

6%=0.06 (6/100)

Then, you multiply 6% by $53.00

0.06*53=3.18

Finally, you subtract the sales tax ($3.18) from the total paid ($53.00)

53-3.18=49.82

Hope this helps!

Answer:

4

Step-by-step explanation:

4/1 or 4

y over x, and simplify

Answer:

1 by 2 is o

Step-by-step explanation:

so slope is 1 by 2 of o .