A manufacturer is designing a two-wheeled cart that can maneuver in tight spaces. On one test model, the wheel placement (center) and radius are modeled by the equation (x + 2)^2 + (y - 1)^2 = 16. Which graph shows the position and radius of the wheels? thank you :)

Answer:

Amount gained = $900

Step-by-step explanation:

Let the cost price be = x

Given selling price = 8400

And profit% = 12%

Profit = selling price - cost price

        = 8400 - x

\(Profit \ \% = \frac{profit}{cost \ price} \times 100\\\\12\% = \frac{8400 - x}{x} \times 100\\\\\ 12 \times \frac{1}{100} = \frac{8400 - x}{x}\\\\\frac{12 \ x}{100} = 8400 - x \\\\\frac{12x}{100} + x = 8400\\\\12x + 100x = 8400 \times 100\\\\112x = 8400 \times 100\\\\x = \frac{8400 \times 100}{112} = 7500\)

Therefore , cost price of the radio $7500

The amount she gained = 8400 - 7500 = $ 900

Answer:

Step-by-step explanation:

Find the value of below:

The area covered by region 1 is 16 units and that by region 2 is 15 units.

Given the area of a square be 1unit.

So. the number of block completely covered = a

number of block that are coverered approximately half = b .

So, total area covered = 1*a + 0.5 * b

for figure 1.)

the number of block completely covered = a = 12

number of block that are coverered approximately half = b = 8.

Therefore Total area covered = 1*a + 0.5 * b

= 1*12 + 0.5 * 8

= 12 + 4

= 16units

for figure 2.)

the number of block completely covered = a = 12

number of block that are coverered approximately half = b = 6.

Therefore Total area covered = 1*a + 0.5 * b

= 1*12 + 0.5 * 6

= 12 + 3

= 15units

Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.

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The area covered by region 1 is 16 units and that by region 2 is 15 units.

Given the area of a square be 1unit.

So. the number of block completely covered = a

number of block that are coverered approximately half = b .

So, total area covered = 1*a + 0.5 * b

for figure 1.)

the number of block completely covered = a = 12

number of block that are coverered approximately half = b = 8.

Therefore Total area covered = 1*a + 0.5 * b

= 1*12 + 0.5 * 8

= 12 + 4

= 16units

for figure 2.)

the number of block completely covered = a = 12

number of block that are coverered approximately half = b = 6.

Therefore Total area covered = 1*a + 0.5 * b

= 1*12 + 0.5 * 6

= 12 + 3

= 15units

Therefore, the area covered in region 1 is 16 unit and the area covered in region 2 is 15 unit.

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Answer:

\(\frac{1}{11}\)

Step-by-step explanation:

11 is \(\frac{11}{1\\}\) so to get the reciprocal just flip it to \(\frac{1}{11}\)

Answer:

Step-by-step explanation:

its c

Answer:

b=2 A/a sin γ

Step-by-step explanation:

Answer:

Look Down

Step-by-step explanation:

Answer: y+7=-4(x-2)

Answer: y+7=-4(x-2)

Answer:

Step-by-step explanation:

y - 4 = 7(x - 1)

y - 4 = 7x - 7

y = 7x - 3

Answer:

0.6

Step-by-step explanation:

5:3

x:1

3x=5

x=0.6

The amount that would be in the account kept with BPI bank in 3 years is P3,011.2640

It would 6.9422 years for the deposit to double if interest rate is 10,5%

What is future value of immediate amount?

The future value of deposit today in 3 years means its future equivalent when the amount has earned interest over the 3 years period

FV=PV*(1+r)^N

FV=future value after 3 years=unknown

PV=immediate deposit=3,000

r=annual interest rate=0.125%

N=number of years that the deposit lasted=3

FV=3000*(1+0.125%)^3

FV=P3,011.2640

Time taken to double:

FV=future value=3000*2=6000

PV=3000

r=annual interest rate=10.5%

N=number of years that it takes initial deposit to double=unknown

6000=3000*(1+10.5%)^N

6000/3000=(1.105)^N

2=(1.105)^N

take log of both sides

ln(2)=N*ln(1.105)

N=ln(2)/ln(1.105)

N=6.9422 years

Annuity:

FV=PMT*(1+r)^N-1/r

FV=future value of annuity=unknown

PMT=annual payment=20000

r=interest rate=3%

N=number of annual payments=7

FV=20000*(1+3%)^7-1/7%

FV= 153,249.2436

FV=PMT*(1+r)^N-1/r*(1+r)

FV=20000*(1+3%)^7-1/7%*(1+7%)

FV= 157,846.7209

20,000,000=1,250,000*(1+r)^20

20,000,000/1,250,000=(1+r)^20

16=(1+r)^20

(16)^1=(1+r)^20

divide indexes on both sides by 20

(16)^(1/20)=1+r

r=(16)^(1/20)-1

r=14.8698%

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Given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².

Note that: Area of a circle is expressed as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Given that;

A = πr²

A = 3.14 × ( 35cm )²

A = 3.14 × 1225cm²

A = 3846.5cm²

Therefore, given the diameter of the surface of the clock, the area of the surface of the alarm clock is 3846.5cm².

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Candy spends £2.65, has 2/3 left and Candy has £7.95 money to start with.

Given that Candy spends £2.65 and has 2/3 of the initial amount left, we are required to find how much money Candy has to start with.

Solution:Let the initial amount of money Candy has be x.

Then, the amount of money spent by Candy = £2.65

Amount of money left with Candy = 2/3 of the initial amount

∴ Money left = 2/3 × x

Amount of money spent + money left = initial amount of money

Candy spends £2.65:2/3 of the initial amount left

= £ (x - 2.65)∴ 2/3 × x

= x - 2.65⇒ 2x/3

= x - 2.65⇒ 2x

= 3x - 7.95⇒ 3x - 2x

= 7.95⇒ x = 7.95

Hence, Candy has £7.95 to start with.

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The square of a binomial, when the binomials are subtracted, is defined as follows:

(a - b)² = a² - 2ab + b².

When the two binomials are added, the square is given as follows:

(a + b)².

Expanding the square, we have that:

(a + b)² = (a + b) x (a + b).

(a + b)² = a² + ab + ab + b².

(a + b)² = a² + 2ab + b².

Which is the result presented in this problem.

Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:

(a - b)² = (a - b) x (a - b).

(a - b)² = a² - ab - ab + b².

(a - b)² = a² - 2ab + b².

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Answer:

I have no idea

Step-by-step explanation:

1/3 + 1/4

(1 x 4) + (1 x 3)

____________

3 x 4

= 4 + 3

________

   12            

7/12

Answer:

7/12 pounds

Step-by-step explanation:

1/3 * 1 = 1/3

1 = 4/4

then

1/3 * 4/4 = 1/3

1/3 * 4/4 = (1*4)/(3*4) = 4/12

1/3 = 4/1|2

1/4 * 3/3 = (1*3) / (4*3) = 3/12

1/4 = 3/12

then:

1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12

The meal will weigh  7/12 pounds.

Answer:So sorry come back later

So sorry come back later

Step-by-step explanation:So sorry come back later

Using the formula for the midpoint of the line with given points  A and B as the end points of the line, the coordinates of the point B is (6,-8).

To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.

What is the formula for finding the midpoint of a line segment?

The formula for finding the midpoint of a line segment is:

Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )

Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.

Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line,  and using the midpoint formula for a line AB,

Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)

where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B

so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)

equating the corresponding points,

7 =(8+x2)/2

therefore, x2 = 6

and , -7 = (-6+y2)/2

therefore , y2 = -8

Hence the coordinates of B is , (x2,y2 ) = (6,-8)

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Answer:

-16 because the difference in between 10 and -4 is -16

Answer:

Step-by-step explanation:

A trapezoid is a quadrilateral with exactly one pair of parallel sides. (There may be some confusion about this word depending on which country you're in. In India and Britain, they say trapezium ; in America, trapezium usually means a quadrilateral with no parallel sides.)

Three reasons why the other method is not better is because to use drawing program would mean you would need some sort of technology and electricity to use it and some places, like third world countries, do not have access to that, so most probably you would have to resort to paper. Also, drawing programs are based off the skills needed to create geometric figures with a straightedge and compass. And lastly, what if we had no more technology anymore? Then how would we use a drawing program? Drawing programs are only reliable when electricity is located.

SO THE ANSWER IS A hope it help :)

I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

The compass and straightedge can be used anywhere. The compass and straight edge have been around for lots of years. They are a valuable tool for students in math and in real world applications. The compass and straightedge are portable and handy to use any given time. That is why there is a need for students to understand and be able to construct geometric figures using a compass and straight edge.

The compass and straight edge have been used to accurately create geometric figures for thousands of years. This shows that they are accurate and useful to us. Using technology is less reliable for many reasons. Technology can break, or glitch and shut down, making you lose all your work. You cannot draw on physical objects with an iPad like you could with a pencil or pen. Having a physical copy of things makes things easier to keep track of. Having a blueprint would be better than having a drawing on your phone. You can get another blueprint, but if your phone breaks and that drawing isn't saved, it's gone.

These are only a few reasons why I believe that there is a need for students to understand and be able to construct geometric figures using a compass and straightedge.

Answer:

2y2+9y−10

Step-by-step explanation:

Distribute the Negative Sign:

=−2y2+6y−1+−1(−4y2−3y+9)

=−2y2+6y+−1+−1(−4y2)+−1(−3y)+(−1)(9)

=−2y2+6y+−1+4y2+3y+−9

Combine Like Terms:

=−2y2+6y+−1+4y2+3y+−9

=(−2y2+4y2)+(6y+3y)+(−1+−9)

=2y2+9y+−10

The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

51.058

Step-by-step explanation:

Sin x = opposite/hypotenuse

sin^-1 * 7/9

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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the area of the given fig will be (12 × 7) +(12 × 7)

What is square?

Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.

a floor covered with white tiles and gray tiles.

the area of the given figure will be

(12 × 7)  and another (12 × 7)

So the total area will be (12 × 7) +(12 × 7)

Hence the area of the given fig will be (12 × 7) +(12 × 7)

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