Question 7 of 8
Indicate below whether the equation in the box is true or false.
6 = 1200
10
OA. True
OB. False

You graph >7 with an open dot to the right.

The inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

Inequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:

These symbols are used in mathematical expressions and equations to compare values and express relationships between them.

Therefore, with a good understanding of inequality signs we conclude that:

On a graph, > 7 is with an open dot to the right.

Only the inequalities ≤ and ≥ would have a closed dot on the number line.

a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".

s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".

t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".

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4

Step-by-step explanation:

It's asking for just iron and the symbol for iron is Fe. A coefficient is the number infront of a value. So, infront of Fe there is a coefficient of 4 so the answer is 4.

Answer:

coefficient of iron is 4 one either side of reactant and product so its 4

Answer:

16

Step-by-step explanation:

Add them all up

Answer:

\(16\)

Answer:

540 and 50 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*7.5=4425 and (x-y)*7.5=3675. Solving it, we get x=540 and y=50

The visual that can help you in  creating a  3D structure using rectangular prism and others is given in the image attached.

3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.

In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure  will see and work within the real world.

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See text below



1. Start by creating a rectangular prism

as the base of your structure. This will

be the main structure that includes

the walls and interior rooms.

2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.

3. Add another cylindrical tower to the opposite corner of the rectangular

prism. Again, adjust the size and

height to your liking.

4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-

shaped roof to the other cylindrical tower.

5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.

6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.

7. Add a rectangular prism

perpendicular to the main structure,

creating an L-shape. This can be a

separate building or an extension of

the main structure.

8. Add a pyramid-shaped roof to the new

rectangular prism, and a cone-shaped roof to the cylindrical tower on the

opposite side of the main structure. 9. Finally, add spheres as decorative

elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,

pyramids, or cones, as long as you have at least 2 of each of the 5

required shapes.

Check the picture below.

The statement that best describes the function f(x) = 2x² - 3x + 1 is D. It fails the vertical line test.

More formally, a function is a set of ordered pairs (x, y) such that each x-value corresponds to one and only one y-value. The set of all possible input values is called the domain of the function, and the set of all possible output values is called the range.

Functions can be represented graphically, with the input values along the x-axis and the output values along the y-axis. A function is said to be continuous if its graph is a continuous curve without any breaks or jumps.

There are different types of functions, such as linear functions, quadratic functions, exponential functions, trigonometric functions, and many more. Each type of function has its own set of rules and properties that govern its behavior.

The statement that best describes the function f(x) = 2x² - 3x + 1 is:

D. It fails the vertical line test.

The vertical line test is a graphical test used to determine whether a relation is a function. If any vertical line intersects the graph of the relation more than once, then the relation fails the vertical line test and is not a function.

For the given function f(x) = 2x² - 3x + 1, if we draw a vertical line at x = 1/2, it intersects the graph of the function at two points, indicating that the function fails the vertical line test and is not a function. Therefore, option D is the correct statement.

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Answer:

15cm^3

Step-by-step explanation:

1^2=1

1*3=3

3*5=15

Step-by-step explanation:

Given:

\(D = 2\:\text{cm} \Rightarrow r =\frac{1}{2}D = 1\:\text{cm}\)

\(h = 5\:\text{cm}\)

Therefore,

\(V = \pi r^2 h = 3(1\:\text{cm})^2(5\:\text{cm})\)

\(\;\;\;=15\:\text{cm}^3\)

The expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

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

P(x) = 2x² (x + 3) − (7x − 10)

Q(x) = 8(x − 1) (x² + x + 1) − 3x² + 4

R(x) = (2x + 1)² - (2x² + 7)

S(x) = 2(5x³+6) + x(x - 11)

Add the expressions P(x) and Q(x)

So, we have

P(x)  + Q(x) = 2x² (x + 3) − (7x − 10) + 8(x − 1) (x² + x + 1) − 3x² + 4

Evaluate

P(x)  + Q(x) = 10x³ + 3x² - 7x + 6

Add the expressions R(x) and S(x)

So, we have

R(x) + S(x) = (2x + 1)² - (2x² + 7) + 2(5x³+6) + x(x - 11)

R(x) + S(x) = 10x³ + 3x² - 7x + 6

So, we have

P(x) + Q(x)} − {R(x) + S(x)} = 10x³ + 3x² - 7x + 6 - (10x³ + 3x² - 7x + 6)

Evaluate

P(x) + Q(x)} − {R(x) + S(x)} = 0

Hence, the expression {P(x) + Q(x)} − {R(x) + S(x)} is a zero polynomial.

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The center of mass for the system (x, y) is \(\left(\frac{a m+b M}{m+M}, 0\right)\).

What is center of mass?

The unique location where the weighted relative position of the scattered mass adds to zero is known as the center of mass in physics. Here is where a force may be applied to produce a linear acceleration without also producing an angular acceleration.

The center of mass is a position defined relative to an object or system of objects. It is the average position of all the parts of the system, weighted according to their masses.

Centre of mass is

\(x=\frac{m a+M b}{m+M}\)

and y=0

\((x, y)=\left(\frac{a m+b M}{m+M}, 0\right)\)

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Answer:

First, we need to figure out how many circular rugs can fit in the living room without overlap.

One way to approach this is to find the area of each circular rug (using the formula A = πr^2, where r = 3 feet since the diameter is 6 feet).

A = π(3)^2 = 28.26 square feet

Next, we can find the area of the living room:

A = 12 x 18 = 216 square feet

To figure out how many circular rugs can fit, we can divide the living room area by the rug area:

216/28.26 ≈ 7.64

Since we can't have partial rugs, we need to round down, which means Shannon can fit 7 circular rugs in her living room without overlap.

The total area covered by the circular rugs would be:

7 x 28.26 = 197.82 square feet

Therefore, the closest answer choice to the nearest square foot is A) 170 ft².

Answer:A

Step-by-step explanation:

She can put 2 circles together width wise because 6+6 = 12

She can put 3 circles together length wise because 6+6+6 = 18

So she can put 6 circles in total.

The area of one circle is found with the equation A=πr^2

The diameter is 6ft, so the radius is 3ft, so

A=π*3ft^2

A=28.26ft²

This is the area of one circle. We need to find the area of 6 because 6 can fit in total.

28.26ft² * 6= 169.56 ft²

Answer:

not proportional

Step-by-step explanation:

mrk brainliest

Answer:

Your answer should be 824,000.

Step-by-step explanation:

Hope this helps you!

The minimum profit occurs at L = 0, where Q = 0.

To find the value of L that maximizes the profit Q = L²\(e^{(0.01L)\).

We need to differentiate Q with respect to L and find the critical points where the derivative equals zero.

Then we can determine whether each critical point is a maximum or a minimum by examining the second derivative.

Testing for critical points:Q = L²\(e^{(0.01L)\)

Q' = \(2Le^{(0.01L)\) + \(0.01 L^2e^{(0.01L)\)

= 0(2L + 0.01L²) \(e^{(0.01L)\)

= 0L (critical point) or 200 \(e^{(0.01L)\)

= 0 (extraneous, ignore)

2L + 0.01L² = 0L(2 + 0.01L) = 0L = 0 or L = -200 (extraneous, ignore)

The only critical point is at L = 0.

Testing for maximum or minimum:Q'' = \(2e^{(0.01L)\) + 0.02Le^(0.01L) + 0.0001L²\(e^{(0.01L)Q''(0)\)

= \(2e^{(0)\) = 2Since Q''(0) > 0,

The critical point at L = 0 is a minimum.

Therefore, there is no value of L that maximizes the profit.

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The values of L that will maximize the profit are 0 and -200

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

\(Q = L\²e^{0.01L\)

Differentiate the function

So, we have

\(Q' = \frac{L \cdot (L + 200) \cdot e^{0.01L}}{100}\)

Set the equation to 0

\(\frac{L \cdot (L + 200) \cdot e^{0.01L}}{100} = 0\)

Cross multiply

\(L \cdot (L + 200) \cdot e^{0.01L} =0\)

When expanded, we have

L = 0, L + 200 = 0 and \(e^{0.01L} =0\)

When solved for L, we have

L = 0 and L = -200

Hence, the values of L are 0 and -200

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Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

because they are drawn with different scales

Step-by-step explanation:

Hence, they are different because they drawn from the different scales values.

What is the data?

Data in math is a collection of facts and figures that can be in any form—numerical or non-numerical.

Numerical data is the one you can calculate, and it is always collected in number form, such as scores of students in class, wages of workers in an organization or height of players on a football team, etc.

As per the given graphs they are different because they drawn with the help of different scales.

Hence, they are different because they drawn from the different scales values.

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The volume of the solid object is 12 cubic units

Note that dilating an object with a scale factor of k will reduced or enlarge the measurement of it's side.

For the volume, we have three dimensions since its in the cubic form..

For example :

length x width x height (Three dimensions)

So to get the new volume :

The original volume must be raised to 1/3 to get one unit dimension..

Substitute the original volume and the values of k to the formula :

For k = 1/4

For k = 0.4

For k = 1

Volume will still be the same since the scale factor is 1.

For k = 1.2

For k = 5/3

For k = 6.1

Note that all answers are in cubic units.

Step-by-step explanation:

d 6 units .................

The distance between the points A and B is given by D = 6 units

Let the two points be A ( x₁ , y₁ ) and B ( x₂ , y₂ )

The distance from A to B is the same as the distance from B to A

Distance between two points is the length of the line segment that connects the two points in a plane.

The formula to find the distance between the two points is usually given by D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

This formula is used to find the distance between any two points on a coordinate plane or x-y plane

Given data ,

Let the distance between 2 points be represented as D

Now , let the first point be P ( -5 , 0 )

Let the second point be Q ( 1 , 0 )

Now , distance D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)

On simplifying , we get

D = √ ( -5 - 1 )² + ( 0 )²

D = √ ( 6 )²

D = 6 units

Hence , the distance is 6 units

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In this question, we have a tissue box. This is a cuboid, that is, is it a closed box of three pairs of rectangular faces placed opposite one another, and they are joined at right angles. Having this information into account, we have that the volume of this box is:

Where

• l is the length of the box, l = 10cm.

• w is the width of the box, w = 5cm.

• h is the height of the box, h = 3cm.

Then, we have:

Therefore, the volume of this prism tissue box is 150 cubic centimeters.

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer

D $48.00 u need to multiply 216 and 12 to get 48

Answer:

You're correct

Step-by-step explanation:

Answer:

The expected value of:

X = 3 green marbles

Step-by-step explanation:

Number of marbles in a bag = 11

Make-up of the bag = 6 red and 5 green marbles

Sussan selects 7 marbles from the bag

The probability of collecting from 5 of the green marbles = 0.45

The probability of collecting from 6 of the red marbles = 0.55

The expected value of X = the probability of selecting a green marble multiplied by the number of marbles selected

= 0.45 x 7

= 3 green marbles

The given differential equation is a third-order linear homogeneous equation.

According to the Existence and Uniqueness Theorem, a unique solution exists if the coefficients of the differential equation are continuous on the given interval, which is the case here. Since the initial conditions y″(0) = 2, y'(0) = 1, and y(0) = 0 are also given, the existence and uniqueness of a solution are guaranteed by the theorem. Therefore, the given differential equation is guaranteed to have a unique solution on the specified interval. A differential equation is an equation that relates a function to its derivatives (or differentials) of one or more independent variables. In other words, it expresses a relationship between an unknown function and its rate of change.

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The complete question is :

According to the Existence and Uniqueness Theorem, which of the following differential equations are guaranteed to have a unique solution on the specified interval. Explain your reasoning.

x2d3ydx3-4x-1d2ydx2+3dydx+2y=0,y″(0)=2,y'(0)=1,y(0)=0

Answer:

angle 13 is congruent to angle 10 (verticals)

angle 10 and angle 7 are opposites

angle 7 is congruent to angle 4 (verticals)

The mistake katie has made is included an extra length, the correct option is C.

We are given that;

The table of lengths of caterpillars

Now,

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Katie has made the mistake of including an extra length in her diagram. She has included the length 81 twice in the stem-and-leaf diagram, once in the row for 5 and once in the row for 8. However, there is only one caterpillar with a length of 81 mm in the data. Therefore, she should remove one of the 81s from her diagram.

Therefore, by algebra the answer will be included extra length.

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After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

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Answer:

Write an equation in point-slope form of the line that passes through the point (−6, 6) and has a slope of m=3/

The answer of the given question based on graphing and crafting is you will create a Mobius strip , and when we cut it into lengthwise  you will get a single, longer Mobius strip.

A Möbius strip is a one-sided surface with only one boundary component. It is named after the German mathematician August Ferdinand Mobius who discovered it in 1858.

A Mobius strip can be created by taking  rectangular strip of paper, giving it  half-twist, and then connecting two ends of  strip together to form  loop. The resulting loop will have interesting property of being non-orientable, which means that it only has one side.

If you take a strip of paper, put two half-twists in it, and glue the ends together, you will create a Mobius strip.

When you cut a Mobius strip length wise down the middle while hugging the right edge, you will get a single, longer Mobius strip that has two full twists instead of the original two half twists. This is because cutting down the middle of the Mobius strip results in flipping one of the twists, which combines with the original twist to create a double twist.

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