Use tracing paper to answer each of these questions for both sets of shapes below:
A
C
B
D
Which figure appears to be the exception?
What makes that shape different from the others?
●
What do the other three shapes have in common?

Answer:

16 ounces of $400 alloy

Step-by-step explanation:

The possible values of x are values greater than 0.67

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

0.6 < x > 67%

Express 67% as a decimal

So, we have the following representation

0.6 < x > 0.67

The above statement means that 0.6 is less than x and x is greater than 0.67

This implies that x is greater than 0.6 and x is greater than 0.67

The possible values in this case are values greater than 0.67

Take for instance, 0.7 is greater than 0.6 and 0.67

Hence, the value of x is 0.7

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We can see here that assuming is solving a linear system and in the process of solving it, the person gets a final statement of 5 = 0, the true statement will  be: D. None of these statements are true.

A linear system is a set of one or more linear equations involving the same variables. The goal is to find the values of the variables that simultaneously satisfy all the equations in the system.

A linear equation of the form 5 = 0 has no solutions, since 5 is not equal to 0. In this case, if you graph the equation on a coordinate plane, it will be a straight line with no points on the line satisfying the equation.

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So, 216° is the largest angle among the heptagon.

A heptagon has 7 sides and 7 angles. We know that two of the angles are (3x – 17)° and one angle is (4x – 36)°. The remaining four angles are all (2x – 13)°.

We can find the total measure of all the angles in the heptagon by using the formula for the sum of the angles in a polygon:

(n-2) * 180 = (7-2) * 180 = 5 * 180 = 900°

We can set up an equation to find the measure of the remaining angles by subtracting the measure of the known angles from the total measure:

900 = 2(3x – 17) + (4x – 36) + 4(2x – 13)

Expanding and simplifying the equation:

900 = 6x – 34 + 4x – 36 + 8x – 52

900 = 18x – 122

Now we can solve for x:

18x = 1022

x = 57

Now we know that one of the angle is (4x – 36) = (4*57 - 36) = 216°

That is the largest angle among the heptagon.

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There are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.

Since the balls and boxes are indistinguishable, we only need to count the number of ways to distribute the 4 balls among the 3 boxes.

We can use the concept of stars and bars. The number of ways to distribute n indistinguishable items into r distinguishable boxes is given by (n+r-1) choose (r-1).

Here, the number of ways to distribute 4 indistinguishable balls into 3 distinguishable boxes is (4+3-1) choose (3-1) = 6 choose 2 = 15

So, there are 15 ways to put 4 indistinguishable balls in 3 indistinguishable boxes.

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An average swimmer covers a distance of 1 / 30 miles in a minute, while an Olympic swimmer covers a distance of 1 / 10 miles.

This is a classic example of an open question, since there are answers as many as possible assumptions. In this case, answer change if swimmer's speed is changed. We shall consider two cases: (i) Average swimmer (v = 2 miles per hour), (ii) Olympic swimmer (v = 6 miles per hour).

Under the assumption of uniform motion, distance (s), in miles, is the product of speed (v), in miles per hour, and time (t), in hours (please notice that an hour is equal to 60 minutes):

s = v · t

Average swimmer (v = 2 mi / h, t = 1 / 60 h)

s = 2 · (1 / 60)

s = 2 / 60

s = 1 / 30 mi

Olympic swimmer (v = 6 mi / h, t = 1 / 60 h)

s = 6 · (1 / 60)

s = 6 / 60 mi

s = 1 / 10 mi

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Answer:

Step-by-step explanation:

3a-7=-4b+1

3a=-4b+1-7

simplify:

3a=-4b-6

divide by 3:

a=-4b-6/3

Step-by-step explanation:

since we got a point and actually the slope, we can start with the point-slope form and transform.

you know that the slope-intercept form is

y = ax + b

"a" is the slope, "b" is the y-intercept.

we see therefore, that the slope of the given line is 1/4.

a perpendicular slope (90°) turns the slope fraction upside-down and flips the sign.

so, the perpendicular slope is -4/1 = -4.

the point-slope form is

y - y1 = a(x - x1)

"a" is again the slope (for the new line this is -4), (x1, y1) is a given point. in our case (1, 1).

so, we get

y - 1 = -4(x - 1)

we transform by simplifying :

y - 1 = -4x + 4

y = -4x + 5

y = -4x + 5

is the perpendicular line in slope-intercept form that passes through (1, 1).

Answer

a=3/2

b=1/2

Step-by-step explanation:

let f(x)=ax+b

f(2x-3)=a(2x-3)+b

f(2x-3)=2ax-3a+b

3x-4=2ax-3a+b

3x=2ax

3=2a

a=3/2

b-3a=-4

b-3(3/2)=-4

b=1/2

The  expression that shows how many minutes it will take to complete an order, assuming there are x parts in an order is 2x+10y = x

The statement states that  it takes 2 minutes to manufacture each part and 10 minutes to pack all the parts for an order.

Also, it is stated that there are  x parts in an order

This implies that  2(x) + 10(y) = x

Opening the brackets to have

2x + 10y = x

This is to say that 2 minutes of manufacture and 10 minutes of packing will give all the parts.

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Answer:

1

Step-by-step explanation:

use Pythagoras as shown

Answer:

Step-by-step explanation:

Density is a measure of how much mass is contained in a given volume. It is calculated by dividing the mass of an object by its volume.

To find the density of the cow's leg bone, we can use the following formula:

Density = mass / volume

In this case, the mass of the bone is 18 g, and the volume is 10 cm3. So we can plug in these values into the formula:

Density = 18 g / 10 cm3

The density of the bone is 1.8 g/cm3.

It's important to note that this is the density of the bone, but it's not the same density as a whole cow. Also, density can also change depending on the bone and the species.

The equation has one extraneous solution which is n is approximately 2.38

Here we have the following equation

=> 9/n²+1 = n+3/4

Now, we have to find the value of n by simplifying the given equation,

In order to so the simplification we have to do the cross multiplication on then, then we get the resulting expression as,

=> n²+1(n + 3) = 36

When we expand it then we get,

=> n²+1(n) + n²+1(3) = 36

=> n³ + n + 3n² +3 - 36 = 0

=> n³ + 3n² +  n - 33 =  0

Here we have to find the roots are the  x  values where the graph intersects the x-axis.

And then we have to find the roots replace y with  0  and solve for  x.

Then the value of n is obtained as

=> n  ≈  2.38

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Answer:

Below in bold.

Step-by-step explanation:

m < DAC  = 360 -15 - 155 - 166

                = 24⁰

The bearing of D from A

                = 180 + 15 + 24

                 =  219⁰

or S 39⁰ W.

x axis described as the independent variable

What is horizontal line?

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x-axis is the horizontal line dividing the plane into parts. The x-axis is also described as  the abscissa and it used for independent variable.

A horizontal line is any straight path that runs from left to right or from right to left. In coordinate geometry, a line is said to be horizontal if two points on it have the same Y-coordinates. Its origins are in the term "horizon." In other words, the horizontal lines and the horizon, or x-axis, are always parallel.

A line that moves from left to right is said to be horizontally oriented. When you look beyond the horizon, you are seeing the dawn over a horizontal line. The x-axis serves as a representation of a horizontal line.

A horizontal line is one that extends from left to right across the full page. This is explained by the fact that horizontal lines are parallel to the horizon. By considering this fact, children can maintain the meaning of horizontal lines. Its root word, "horizon," refers to the line that may be seen separating the earth from the sky.

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Using the formula of volume of a cone, the diameter of the cone is 5cm

The volume of a cone is a measure of the amount of space inside the cone. It can be calculated using the formula:

Volume = (1/3) * π * r^2 * h

Where:

The formula for the volume of a cone is a product of 1/3 and the product of π, radius square and height. The unit of measurement of the volume will be the cube of the unit of measurement of the radius and height.

It's important to note that a cone has a circular base, the radius of which is the distance from the center of the base to its edge. The height of the cone is the distance from the tip of the cone to the center of the base.

In this problem, we can simply find the diameter by calculating the radius.

V = 1/3(πr²h)

Substituting the values into the formula

42.5 = 1/3(3.14 * r² * 6.5)

42.5 * 3 = 20.41 r²

127.5 = 20.41r²

r² = 6.2469

r = 2.5

But the radius of a circular body is always half the length of it's diameter

d = 2 * r

d = 2 * 2.5

d = 5

The diameter is 5cm

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Answer:

All I know is:

Step-by-step explanation:

You have to Graph

Then Find the Empirical/Simplest Formula

After you have to Calculate the Formula Weights

Then Find the Derivative - d/dx

Last, Find the Derivative - d/dy

Sorry I don't know the real answer.

the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

What is the shaded region?

The area of the shaded region is the difference between the area of the entire polygon and the area of the unshaded part inside the polygon. The area of the shaded part can occur in two ways in polygons. The shaded region can be located at the center of a polygon or the sides of the polygon.

The formula for calculating the area of a shaded segment of a circle is:

a = π ∗ r² ∗ angle/360

The area of the sector depends on the radius of the circle r and the measure of the angle t.

The area of a sector for angle t is  A = t/360 ⋅ π ⋅ r²

We have given the figures with their radius and shaded region angles,

In the first figure:

radius r =  11 in and  shaded region angle = 260°

so, a = π ∗ r² ∗ angle/360

a = π ∗ (11)² ∗ 260/360

a =  π ∗ 121 ∗ 2/3

a = 253.42 in²

In the second figure:

radius r =  15 yd and  shaded region angle = 110°

so, a = π ∗ r² ∗ 110/360

a = π ∗ (15)² ∗ 110/360

a =  π ∗ 225 ∗ 11/36

a = 215.98 yd²

In the third figure:

radius r =  6 ft  and  shaded region angle = 80°

so, a = π ∗ r² ∗ 80/360

a = π ∗ (6)² ∗ 80/360

a =  π ∗ 36 ∗ 2/9

a = 25.13 ft²

In the fourth figure:

radius r =  16 yd  and  shaded region angle = 90°

so, a = π ∗ r² ∗ 90/360

a = π ∗ (16)² ∗ 90/360

a =  π ∗ 256 ∗ 1/4

a = 201.06 yd²

In the fifth figure:

radius r =  7 ft  and  shaded region angle = 150°

so, a = π ∗ r² ∗ 150/360

a = π ∗ (7)² ∗ 150/360

a =  π ∗ 49 ∗ 5/12

a = 64.14 ft²

Hence, the area of the shaded regions of all circles in terms of pi is a = 253.42 in², a = 215.98 yd², a = 25.13 ft², a = 201.06 yd² and a = 64.14 ft² respectively.

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The 40 randomly selected teachers: sample.

The list of all teachers in the school district: frame.

The 245 teachers in the school district: population.

A sample is a subset of a population that is selected for research purposes. In this case, the school board has randomly selected 40 teachers out of the 245 teachers in the district as a sample to survey their opinions on the new professional development plan.

A population is the entire group of individuals or objects that researchers are interested in studying. In this case, the population is all 245 teachers in the school district.

A frame is the list or method used to define the population. In this case, the frame is the list of all 245 teachers in the school district that was used as the basis for selecting the random sample of 40 teachers.

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Answer:

obviously 16 meters to the west

One is not considered a prime factor.

One has only a single element, which is itself, hence it is not regarded as a prime number. A prime number is a positive integer greater than 1 with just itself and the number one as its other positive divisors. Since there is only one divisor of one, one is not regarded as a prime number. Additionally, 1 does not adhere to the conventional characteristics of prime numbers and is regarded as a unit in mathematics.

For instance, a number's value is unaffected by division or multiplication by one, and it is always one when raised to any power. Since one does not meet the criteria for primes and does not share their characteristics, it is likewise excluded from the set of prime numbers.

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The rate of change of volume with respect to R is 4πR².

The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another. The rate of change formula gives the relationship describing how one quantity changes in relation to the change in another quantity. The rate of change from the coordinates of y to the coordinates of x can be found out as Δy/ Δx = (y2 - y1 )/ (x2 - x1 ). For a linear function, the rate of change m is represented in the slope-intercept form for a line: y=mx+b whereas the rate of change of functions is otherwise defined as, (f(b)-f(a))/ b-a.

The volume of the sphere is:

V = (4π/3)(R³)

Differentiating volume with respect to radius gives:

dV/dR  = (4π/3)× (3R²) = 4πR²

Thus, the rate of change of volume with respect to R is 4πR².

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The title is explains what the graph is about. Scale: The scale is the numbers that show the units used on the bar graph. Labels: Both the side and the bottom of the bar graph have a label that tells what kind of data is shown.

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The expression for a  90% confidence interval, given a sample of 50 people with a sample proportion of 0.65 is B. [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

We know the confidence interval for a population proportion is given by the formula [tex]p\pm{Z_\frac{\alpha}{2}}\sqrt{\frac{p(1 -p)}{n}[/tex], where p = population proportion,

n = The number of samples and [tex]Z_\frac{\alpha}{2}[/tex] is the area value corresponding to the context.

Given, The 90% confidence interval, given a sample of 50 people with a sample proportion of 0.65.

We know at 90% confidence interval [tex]Z_\frac{\alpha}{2}[/tex] = 1.645.

Therefore it should be [tex]0.65\pm1.645\sqrt{\frac{0.65(1 -0.65)}{50}[/tex].

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Answer:

π /5

Step-by-step explanation:

Use the form a * cos(bx−c) + d

The Partitions occur on the line segments that Partitions are referred or called  as directed line segments .

What are Directed Line Segments  ?

The Directed Line Segments are defined as the line segments that has distance (length) and direction .

A line segment can be partitioned into many smaller segments which are compared/called as ratios and the Partitions that occur on line segments  are referred to as Directed segments .

The Simple Definition of Partition means to separate or to divide .

let AB be any line segment and we Partition the line AB in the ratio a:b , it means that we are dividing it into (a + b) equal parts and then we find a  point C which is "a" equal parts from A and "b" equal parts from B .

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Answer:

No.

Step-by-step explanation:

Using the Pythagorean Theorem, a^2 + b^2 = c^2, this would not be possible, because 4 + 9 does not equal 16.

2 × 2 = 4

3 × 3 = 9

4 × 4 = 16

Answer:

No.

Step-by-step explanation:

the Pythagorean Theorem states that a²+b²=c²

where a and b are the legs and c is the hypotenuse of a right triangle

in this case we need to know if 2²+3²=4²

2²=4

3²=9

4²=16

4+9=13

13≠16

so no, the hypotenuse cannot be 4 inches long.

The total number of different arrangements is 36 * 1 = 36

Permutation and Combination:

Permutation and combination are the ways to represent a group of objects by selecting them in a set and forming subsets. It defines the various ways to arrange a certain group of data. When we select the data or objects from a certain group, it is said to be permutations, whereas the order in which they are represented is called a combination.

There are 9 types of flowers and you are choosing 2 of them, so the number of ways to choose the flowers is 9 choose 2 which is equal to (98)/(21)=36.

There is 1 vase and you are choosing 1 of them, so the number of ways to choose the vase is 1 choose 1 which is equal to 1.

The total number of different arrangements is 36 * 1 = 36.

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The equation y = 3x describes the relationship between x and y in the table.

What is the slope intercept?

The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line. An example of a linear equation is y=mx + b.

A relationship that when graphed produces a straight line. Equation. A mathematical sentence that sets 2 expressions equal to each other.

This equation shows that for every increase of 1 in the value of x, y increases by 3.

This is consistent with the values in the table, where for each increment of 1 in x, y also increases by 3.

Hence, The equation y = 3x describes the relationship between x and y in the table.

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