Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.

The solution to the polynomial is x = -1, x = 1/2 and x = -1

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

2x³ - x² - 2x + 1

Expand

2x³ - x² - 2x + 1 = 2x³ - x² - 2x + 1

Factorize the expression

This gives

2x³ - x² - 2x + 1 = x²(2x - 1) - 1(2x - 1)

Factor out 2x - 1

2x³ - x² - 2x + 1 = (x² - 1)(2x - 1)

Express x² - 1 as difference of two squares

2x³ - x² - 2x + 1 = (x - 1)(x + 1)(2x - 1)

So, we have

(x - 1)(x + 1)(2x - 1) = 0

Solve for x

x = 1, x = -1 and x = 1/2

Reorder the solutions

x = -1, x = 1/2 and x = -1

Hence, the solution is x = -1, x = 1/2 and x = -1

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Answer: 12 units

Step-by-step explanation:

∴ Area of Square = side length × side length

⇒144 = lengt²

⇒length = √144

⇒length = 12 units ANSWER

hope that helps...

Answer:

f(x + 2) = - 3x - 1

Step-by-step explanation:

substitute x = x + 2 into f(x) , that is

f(x + 2)

= 5 - 3(x + 2)

= 5 - 3x - 6

= - 3x - 1

The multiplicative inverse of 7/5 is 5/7 using the formula of multiplicative inverse like (x)^-1 which equals to 1/x.

let's try to learn what is multiplicative inverse.

1/N or [tex]N^-1[/tex] is used to denote a number's multiplicative inverse, such as the number N. From the Latin word "reciprocus," it is also known as reciprocal. Inverse refers to something that is the opposite. The acquired reciprocal of a number is such that its value equals identity 1 when multiplied by the original number. In other terms, it is a technique for producing identity 1 by diluting a number by itself, as in N/N = 1.

One is obtained when a number is multiplied by its own multiplicative inverse.

When a number is multiplied by its original number, the multiplicative inverse of that number, or x^-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2^-1 since it fulfils the formula: 2 x (2^-1) = 2 x (1/2) = 1.It is also known as a number's reciprocal.

Multiplicative inverse of 7/5 is (7/5)^-1 = 1/(7/5) = 5/7.

Given question is incomplete complete question here:

What is the multiplicative inverse of 7/5?

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Answer:

12.32 units

Step-by-step explanation:

Use the distance formula to find the lengths between two points:

[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

the distance between (-2, -1) and (-5,-1) is

[tex]\sqrt{(-2-(-5))^2+(-1-(-1))^2}[/tex]

=[tex]\sqrt{3^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-2, -1) and (-3, -4) is

[tex]\sqrt{(-2-(-3))^2+(-1-(-4))^2}[/tex]

=[tex]\sqrt{1^2+3^2}[/tex]

=[tex]\sqrt{10}[/tex]

≈3.16

the distance between (-6, -4) and (-3, -4) is

[tex]\sqrt{(-6-(-3))^2+(-4-(-4))^2}[/tex]

=[tex]\sqrt{(-3)^2+0^2}[/tex]

=[tex]\sqrt{9}[/tex]

=3

the distance between (-6, -4) and (-5, -1) is

[tex]\sqrt{(-6-(-5))^2+(-4-(-1)^2}[/tex]

=[tex]\sqrt{(-1)^2+3^2}[/tex]

=[tex]\sqrt{10}[/tex]

≈3.16

Now, add all the sides:

3+3.16+3+3.16=12.32 units

Note: A property of a parallelogram is that it has two pairs of congruent sides, so for this problem, you could solve for 2 different sides, double them, then add and you will get the same thing.

Answer:

258.39 m^2

Step-by-step explanation:

Solve for the rectangle:

18 • 12= 216

Now solve for the 3 semi circles:

A = 3.14(3)^2= 28.26/2 = 14.13 •3 = 42.39

Add up the areas:

216 + 42.39 = 258.39

Extraneous solution, that emerges from the method of solving the hassle but isn't always a valid strategy to the trouble.

What is a function ?

Function can be defined as a relation , which relates an input to output is called as function.

In Mathematics, an extraneous solution (or spurious solution) is an solution, consisting of that to an equation, that emerges from the procedure of solving the hassle but isn't always a legitimate strategy to the problem.[1] A missing solution is an answer that is a valid strategy to the hassle,

however disappeared all through the process of solving the problem. each are frequently the consequence of acting operations that are not invertible for a few or all values of the variables, which prevents the chain of logical implications inside the proof from being bidirectional.

Hence , The Extraneous solution, that emerges from the method of solving the hassle but isn't always a valid strategy to the trouble.

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Answer:

x - 6 = 12 is the answer

im 100% sure

Answer:

x-6=12

Step-by-step explanation:

X=12+6

X=18

substitute for X in the equation

18-6=12

The speed of the object is 9.14 cm per day.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

Given that, An object is moving at a speed of 3 yards per month. we are asked to express this speed in centimeters per day.

For this, we will have to convert the units,

1 yard = 91.44 cm

3 yards = 91.44 × 3 = 274.32 cm

Therefore, we can say the object is moving 274.32 cm per month

Now,

If it moves 274.32 cm in one month,

Therefore, in day, it will move = 274.32 / 30    [1 month = 30 days]

= 9.144

Hence, the speed of the object is 9.14 cm per day.

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0.01 is not the way of expressing the relationship because it does not represent the correct ratio between 10 square and 100 square

A ratio tells the relationship between two or more quantities by comparing their relative sizes.It is typically written as two or more numbers separated by a colon (:), such as 2:4, or expressed as a fraction, such as 2/4. The numbers in a ratio represent the relative amounts of the quantities being compared. A ratio can be used to compare any type of quantity, such as length, weight, or time.

A) 10 square is 1/10th of the area of 100 square. It can be represented as a fraction, where the numerator is the area of the smaller square (10) and the denominator is the area of the larger square (100). The fraction would be 1/10.

B) Another way of expressing the relationship is as a percentage, where the smaller area (10) is divided by the larger area (100), and the result is multiplied by 100 to get the percentage. So 10 square is 10% of 100 square.

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Answer: C

x = Grace's collection

3x = Maci's collection

4 = Kendra's collection

52 = Total collection

Because the total is 52, the equation would be x + 3x + 4 = 52. Add the like terms to get 4x+4=52. Subtract 4 on both sides to get 4x=48. Divide 4 on both sides to get x = 12. Because Maci's collection is 3x, she should have 36 earrings.

Answer:

32

Step-by-step explanation:

I'm good at math hehe ggggggrhdgcdg

Answer:

24 ft

Step-by-step explanation:

10^2 = 100

6^2 = 36

100 - 36 = 64

[tex]\sqrt{64}[/tex] = 8

b = 8 ft

10+6+8 = 24

Answer:

I believe the answer is C. -10 < x <2

Step-by-step explanation:

The answer to this question is B

Step-by-step explanation:

After 0.6412 years the average for mobile device and television usage will coincide.

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here the equations as  y=-9.11x+280x and  y=12.34x + 169.9 the period for which the averages are equal will be given by

9.11x+280x=12.34x + 169.9

       x   = 0.6412 years

Again, after 7 years in 2021 the respective averages will be                  9.11 ×7+280×7 = 2023.77 and similarly for mobile device the time spent would be 256.28 minutes

Hence, the answers are After 0.6412 years the average for mobile device and television usage will coincide.

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Check the picture below.

[tex]\sin(30^o)=\cfrac{\stackrel{opposite}{PQ}}{\underset{hypotenuse}{4}}\implies 4\sin(30^o)=PQ\implies 4\left( \cfrac{1}{2} \right)=PQ\implies 2=PQ[/tex]

Answer:

[tex] - 2 - ( - 7) \\ = - 2 + 7 \\ = 5[/tex]

Answer:

5

Step-by-step explanation:

-2-(-7)

-2 + 7

= 5

Answer:

minimum value : -1

Step-by-step explanation:

y= 2x^2- |0x+1|

y=2x^2-1

0x has no value they're just putting that in there to trip you up. Also you can view the graph on Desmos graphing calc online to see the minimum value of this function.

x is positive so parabola opens up: meaning minimum value

y-intercept is (0, - 1) so minimum value = -1

9514 1404 393

Answer:

  Any of ...

Step-by-step explanation:

The question is asking you what combinations of rotation, reflection, translation, and dilation will make the W have the position, orientation, and size of the M.

The image (M) is the same size as the preimage (W), so no dilation is involved.

The up-down orientation of the image is opposite that of the preimage, so reflection across a horizontal line, or rotation 180° will be involved. Depending on the line of reflection or the center of rotation, translation to the final image position may be required.

The preimage is symmetrical about a vertical centerline, so translation left or right can also be accomplished by reflection about a suitable vertical line.

_____

If you have trouble visualizing this, it can help to cut the letter from a piece of paper and manipulate it to model rotation, reflection, or translation.

The closest estimate of x when the functions satisfy the condition f(x) = g(x) is 1.65

What is a function?

Function is a mathematical law that establishes the relationship between an independent variable and a dependent variable.

Given,

[tex]f(x) =[/tex] [tex]\log\x_{3} (2x)[/tex]

[tex]g(x) = -4x^{2} + 3x +7[/tex]

Now plotting both the graphs in Desmos, we got the result as in the below figures.

Given f(x) = g(x)

So from the graphs, we can find an intersecting point. This intersecting point is common to both f(x) and g(x)

Therefore from the graph, the closest estimate of x is 1.65.

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Answer:

4.472135955

Step-by-step explanation:

Let S be the amount of money the salesperson needs to sell in a week to earn the same amount with the two options. The salesperson earns 40 * $18 = $<<40*18=720>>720 with Option A.

We can set up the following equation to represent the amount of money the salesperson earns with Option B:

0.04S = $720

Solving for S, we find that the salesperson needs to sell $720 / 0.04 = $<<720/0.04=18000>>18,000 to earn the same amount with Option B.

The polynomial 5x³ 4x² 7x has three terms, with the highest degree being 3, which makes the degree of the polynomial 3. The polynomial can be written as 5x³ + 4x² + 7x.

1. Identify the polynomial: 5x³ + 4x² + 7x

2. Count the number of terms: 3

3. Find the highest degree (the largest exponent): 3

4. The degree of the polynomial is 3.

The degree of a polynomial is the highest degree of its terms. A polynomial is a mathematical expression consisting of one or more terms with coefficients and exponents. In this case, the polynomial is 5x³ + 4x² + 7x. This polynomial has three terms, and the highest degree is 3, which makes the degree of the polynomial 3. This means that the largest exponent of the terms is 3. To calculate the degree of a polynomial, simply count the number of terms and identify the highest degree, which is the largest exponent. If the polynomial has only one term, then the degree is the exponent of that term

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Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line

m = [tex]\frac{4-0}{1-(-1)}[/tex] = [tex]\frac{4}{1+1}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Answer: The slope is 2.

Step-by-step explanation: To find the slope of a line, we first need to pick two points on a line. To solve this, I picked points (-2, -2) and (1, 4). The slope is rise over run, so you need to find the rise and run and divide.

We need to go 6 spaces up from (-2, -2) to get to (1, 4). This is our rise. Then, we go 3 spaces to the right. That is our run. 6 / 3 is 2, so that's your slope. Notice that if you cannot divide the rise and run into a whole number, keep it as a fraction instead.

Let me know if this is right! :)

Answer:

36%

Step-by-step explanation:

18/50 = 0.36 --> 36%

The probability that a student preferred a class trip to the zoo given they are in 11th grade is; 0.36

Total number of eleventh graders is; 32 + 18 = 50

Number of class trip to the zoo given they are in the 11th grade = 18

Thus, probability that a student preferred a class trip to the zoo given they are in 11th grade is;

P(11th grade trip to zoo) = 18/50

P(11th grade trip to zoo) = 0.36

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Answer:

100 lb

Step-by-step explanation:

1 lb = 16 oz

100 lb = 1600 oz

1600 oz > 1000 oz

Answer:

1000 oz = 62.5 lb

[tex]100 > 62.5[/tex]

100 lb is heavier

PLZZ GIVE ME BRANILIEST

Answer:

20.5 and 21.5

Step-by-step explanation:

It says 2 significant figures so the least it can possibly be is 0.5 less and the most it can be is 0.5 more as if it was, lets say 20.4 it would round down to 20 not 21.

For adults, there were 40 tickets sold, and for kids, there were 60 tickets sold.

There are several laws that regulate the sequence in which you should do the operations in math and algebra. The Commutative, Associative, and Distributive Laws are the three that are most frequently discussed.

Let x be the total number of adult tickets sold.

6.50 × x + 2.50 × (100 - x) = 410

6.50 × x + 250 - 2.50x = 410

4x = 410 - 250

x = 40

Hence,

a) 40 tickets were sold by adults, according to item

and

b) 100-40=60 tickets were sold to children.

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Answer:

The first two

Step-by-step explanation:

The first two

The bottom equation of the second set is the

bottom equation of the first set multipied by -2

Answer:

Discounted price= $16.1

Step-by-step explanation:

Giving the following information:

Discount rate (d)= 30%

Regular price= $23

To calculate the discounted price, we need to use the following formula:

Discounted price= regular price*(1 - discount rate)

Discounted price= 23*0.7

Discounted price= $16.1