Carson measured a line to be 2.2 inches long. If the actual length of the line is 2.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answer = 1/2

9/14 = 0.64

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

a. -6

b. 11.3

Step-by-step explanation:

Answer: a. -6    b. 11.3

Step-by-step explanation:

[tex]\displaystyle\\a.\\2((-3)^2+\frac{3}{2})+(-3)^3=\\\\2(9+1.5)+(-27)=\\\\2(10.5)-27=\\\\21-27=\\\\-6\\\\b.\\(-4)^2+\frac{15.7-3(2.1)}{-2} =\\16+\frac{15.7-6.3}{-2} =\\\\16+\frac{9.4}{-2} =\\\\16+(-4.7)=\\\\16-4.7=\\\\11.3[/tex]

Answer:

Step-by-step explanation:

77.38$

The given equation, -6 1/4x = -3 1/8, solved for is x = 1/2

From the question, we are to solve the given linear equation.

The given linear equation is

-6 1/4x = -3 1/8

To solve the equation,

First, we will convert the fractions to improper fractions

-6 1/4x = -3 1/8

-25/4x = -25/8

Multiply both sides of the equation by -4/25

-4/25 × -25/4x = -4/25 × -25/8

x = 1/2

Hence, the value of x is x = 1/2

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5(k + 2)

(5 * k) + (5 * 2)

= 5k + 10

______________________________

8(4 - 1.2h)

(8 * 4) - (8 * 1.2h)

= 32 - 9.6h

______________________________

3(1 - 7m)

(3 * 1) - (3 * 7m)

= 3 - 21m

______________________________

(b + 9)(6)

(6 * b) + (6 * 9)

= 6b + 54

The required given relationship between the radius and circumference of the circle is not a proportional relationship.

Given that,
A class measured the radius and circumference of various circular objects.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

here
For the proportional relationship,
the ratio of y / x should be equal but,
18 / 3 ≠ 25/4
Which implies that the relationship is not proportional.

Thus, the required given relationship of the radius and circumference of the circle is not a proportional relationship.

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Answer:

26352

Step-by-step explanation:

Answer: 36.1481481481. So approximately 36.1

Step-by-step explanation:

Answer:

Answer:

A. The event is (2,2), (4,4), (6,6), (8,8), (10,10), (12,12) and the probability is 1/6.

B. The event is (2,9), (2,11), (4,9), (4,11), (6,9), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 2/6.

C. The event is (2,9), (2,11), (4,9), (4,11), (6,11), (8,9), (8,11), (10,9), (10,11), (12,9), (12,11) and the probability is 5/6.

toooooooooooo ezzzzzzzzzzyyyty

Step-by-step explanation:

The final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

What is the interval notation?

A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.

We have,

F and H are sets of real numbers defined as follows.

F = { v l v < 4}

H = { v l v ≥ 7}

F is the set of all real numbers that are less than or equal to 4.  H is the set of real numbers greater than 7.

F U H is the union (or combination) of the two sets, so it is the set of all real numbers that are less than equal to 3 or greater than 6:

F ∩ H is the set of real numbers that are in both sets; but since F is less than or equal to 4 and H is greater than 7, there are no numbers that are in both sets.  Hence the answer is the empty set, Ø:

F ∩ H = Ø

F ∩ H = [7, 4]

F ∪ H = [-∞, ∞]

Hence, the final interval notation is  F ∩ H = [7, 4] &  F ∪ H = [-∞, ∞].

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Answer:

Step-by-step explanation:

F,E,D,C,B

2,4,8,16,32

B32

The mortar shell will strike the target in 0.02 seconds

The duration to strike the target is solved using the formula for velocity which is

= distance / time

The problem gives the distance to be 3 feet and velocity is 150ft/s

therefore

150 = 3 / time

time = 3 / 150

time = 0.02 seconds

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The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Total number of balls = 20

Red = 5

Blue = 4

Green = 2

Brown = 4

Yellow = 5

The probability of pulling a green one.

= 2/20

= 1/10

Number of balls remaining = 20 - 1 = 19

The probability of pulling a blue without replacing the first green one.

= Number of blue balls / Total number of remaining balls

= 4/19

Now,

The probability of pulling a green one and then, without replacing it, pulling a blue one.

= 1/10 x 4/19

= 4/190

= 2/95

= 0.021

Thus,

The probability of pulling a green one and then, without replacing it, pulling a blue one is 0.021.

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Answer:

Step-by-step explanation:

5x≥15

/5. /5

x≥3

On the number line we put a filled dot since it is both equal to and greater then at 3 and make it point to the right since it is greater it has to go up

Hopes this helps please mark brainliest

Answer:

Choose the bottom right ray and put it at 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: x=12

Step-by-step explanation:

first you add 4 to both side to make it 2x=24 then you divide both side by 2 to get 12 so x=12.

Answer:

Step-by-step explanation:

Firstly you want to get x alone on one side of the equation. So to do that you move 4 to the other side of the equation. When a number crosses the equal sign, the sign (+/-) switches. Hence 2x - 4 = 20 becomes 2x = 20 +4. Which gives you 2x  = 24.  Now you can solve for x.

2x is really 2 multiplied by x. The opposite of multiplication is division so to get rid of the 2 and get x alone on one side, you divide 24 by 2.

So the equation becomes x = 24/2 (24 divided by 2)

This gives you x = 12.

I hope this helped.

Based on the definition of  parallelogram, the conclusion about the quadrilateral is that: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

If a quadrilateral is a parallelogram, the two pairs of opposite sides will be parallel to each other.

If two sides of a shape have the same slopes, it then means the shape is a parallelogram.

The quadrilateral that is given is said to have the following:

Two equal slopes of 5/4 and 5/4; and 2/5 and 2/5, this means the sides that have the same slope values are opposite to each other.

Since they are opposite to each other and they have the same slope, therefore, the conclusion about the described shape is: D. The quadrilateral is a parallelogram, because there are two pairs of equal slopes, and thus two pairs of parallel opposite sides.

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508

Step-by-step explanation:

Answer:

2x-30

Step-by-step explanation:

5(x-3) = 5x-15

-3(x+5) -3x-15

(5x-15) + (-3x-15) = 2x-30

The discounted price of the item is $1.85.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, An item is regularly priced at $37.

It is now priced at a discount of 95% off the regular price.

∴ The discounted price of the item is {(100 - 95)/100}×37.

= (5/100)×37.

= $1.85.

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The height of antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

For the stated question-

Height of the main roof of Texas = 441 feet.

Height along with additional height of antennas = 546 feet.

Then,

Height of antennas = Total height - height of main roof.

Height of antennas = 546 feet - 441 feet

Height of antennas = 105 feet.

Thus, the height of the antennas added to the main roof of the Marriott Rivercenter in San Antonio is 105 feet.

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Answer: uf

Step-by-step explanation:

The required number of trials is between 71 and 73 second is 5 trials.

Given that,
Hudson runs the 400-meter dash, his finishing times are normally distributed with a mean of 70 seconds and a standard deviation of 2 seconds. If Hudson were to run 22 practice trials of the 400-meter dash,

Probability can be defined as the ratio of favorable outcomes to the total number of events.

here,
let x be the time,
According to the question,
z = x - 70 / 2 then Z ≈ N(0, 1)
71 < x < 73
71 - 70 / 2 < z < 73 - 70 / 2
1 / 2 < Z < 3/2
P[1/2 < Z < 3/2] = 0.9332- 0.691
                      = 0.2417
Now,
Required trials = 22 [0.2417] = 5.3174

Thus, the required number of trials is between 71 and 73 second is 5 trials.

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Answer:

I believe the answer is 7 pages for 6 postcards on each page

Step-by-step explanation:

I believe the correct answer is 7 pages because

7×6=42

7 pages, 6 cards, and 42 postcards

So for Abner to scrapbook 42 cards for every 6:1 pages he will need 7 pages.

Answer:

------------------------------

We see two graphs on the opposite sides of the x-axis.

There is no intersection, so no common points. It means there is no solution.

The smallest positive solution is 13.28⁰.

Trigonometry is a discipline of mathematics dealing with particular angle functions and their application to computations. In trigonometry, there are six functions of an angle that are often utilised. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their names.

Given,

sin (2x)cos(6x) - cos(2x)sin(6x) = - 0.8

Let, assume 2x = A and 6X= B

As we know, sin (A-B) = sin A cos B - cos A sin B

Putting the value of 2x and 6x in the given equation, we get

or, sin A cos B - cos A sin B = -0.8

or, sin (A-B) = -0.8

or, sin (2x-6x) = - 0.8

or, sin (-4x) = - 0.8

or, - sin 4x = - 0.8

or, sin 4x = 0.8

Apply sin on both side we get,

or, sin⁻¹ (sin 4x) = sin⁻¹ (0.8)

or, 4x = 53.13

or, x = 13.28⁰

The smallest positive solution is 13.28⁰.

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Answer:

Step-by-step explanation:

Adding a constant k to the output of a linear function translates the graph vertically by k units. If k < 0 k<0 k<0, then the translation is downwards and if k > 0 k>0 k>0. Adding a constant k to the input of the function translates the graph horizontally by k k k units.

Answer:

Associative Property

Step-by-step explanation:

Associative Property is the ability to change the order of an equation, and get the same result.

For example:

(1 + 2) + 3 = 6

If you were to take this equation, and this equation:

3 + 2 + 1 = 6

These numbers are in a different order, but the answer is the same!

It goes the same way for your problem.

57/80 + 21/80 and 21/80 + 57/80.

Therefore, the property to help you would be Associative Property.