Find the equation of this line

Answer:

7)  Domain:  (-∞, ∞)

    Range:  [-1, ∞)

8)  Domain:  (-∞, ∞)

    Range:  (-∞, ∞)

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

Domain & Range

The domain is the set of all possible input values (x-values).

The range is the set of all possible output values (y-values).

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

From inspection of the graph, the minimum y-value is y = -1.  

The end behavior of the relation is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow + \infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the range of the relation is restricted:  [-1, ∞)

From inspection of the graph, the line is continuous.

The arrows either end of the line indicate that the line continues indefinitely in those directions.

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

The end behavior of the function is:

\(y \rightarrow + \infty, \textsf{as } x \rightarrow - \infty\)

\(y \rightarrow -\infty, \textsf{as } x \rightarrow +\infty\)

Therefore, the domain of the relation is unrestricted:  (-∞, ∞)

Answer

Rectangular prism

Step-by-step explanation

The base of a pentagonal prism is a pentagon. Since there is no pentagon in the net, then it cannot be a pentagonal prism.

The net of a rectangular prism has five faces, four of them triangles. The net in the diagram has 6 faces and none of them is a triangle, then it cannot be a rectangular pyramid.

The net of a cube is composed of 6 squares. The net in the diagram is composed of at least four rectangles, then it cannot be a cube.

In conclusion, the net in the diagram folds to form a rectangular prism

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

GCF: 50

Step-by-step explanation:

Let's test

50 ( 5 + 6)

= 250 + 300

So, my answer is correct!

Answer:

C, thoughtful and grntle

Answer:

B

Step-by-step explanation:

Vain is defined as having a high opinion of oneself.

Conceited is a synonym for vain.

Answer:

3.34.

Step-by-step explanation:

4.2 * 0.2 + 2.5

= 0.84 + 2.5

= 3.34.

Answer:

3.34

Step-by-step explanation:

the product is 4.2×0.2=0.84

add is 2.5 + 0.84=3.34

Answer:

Step-by-step explanation:

None. Your notation is unclear.

Answer:

C

Step-by-step explanation:

1.436363636... means that the hundredth and thousandth are recurring, i.e. the 3 and 6

A) 1.436 - nothing is recurring

B) 1.436666666... - only the 6 is recurring

C) 1.43636363636... the 3 and 6 is recurring

D) 1.436436436436... the 4, 3 and 6 is recurring

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

(−∞,∞)

Step-by-step explanation:

Since |x−5| is always positive and −2 is negative, |x−5| is always greater than −2, so the inequality is always true.

All real numbers

So, the answer is (−∞,∞)

Answer:

12

2 inch = 20 means 1 inch = 10 so for 120 its 12

Answer:

278

Step-by-step explanation:

AOP x 1002 = AOP556

AOP = AOP556 / 1002

= 556 ÷ 2

= 278

\(\\ \sf\longmapsto 1002AOP=556AOP\)

\(\\ \sf\longmapsto AOP=\dfrac{1002}{556}\)

\(\\ \sf\longmapsto AOP=\dfrac{556}{2}\)

\(\\ \sf\longmapsto AOP=278\)

The expression for the volume of the cylinder is:

\(v = 3.14*(9in)^2*h\)

For a cylinder of radius r and height h, the volume is:

\(v = 3.14*r^2*h\)

Where 3.14 = π

Here we know that the diameter is 18 inches, then the radius is half of that, we will have:

r = 18in/2 = 9in

Then the volume equation is:

\(v = 3.14*(9in)^2*h\)

So the correct option is the first one.

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Answer: The answer is

25 Units

Answer:

36 units

please mark me brainleast

Step-by-step explanation:

this is practically a cylinder.

the volume of a cylinder is

ground area × height = pi×r² × height.

r being the radius (half of the diameter).

so, we have here

V = pi×10² × 13 = pi × 100 × 13 = 1300pi =

= 4,084.07045... cm³

1 liter = the content of a cube with 10 cm side length.

10×10×10 cm³ = 1000 cm³ = 1 liter.

the pan has a volume of 4,084.07045... cm³, so, yes, it has the capacity of 4 liters as 4×1000 cm³ (and a little bit extra).

Answer:12

Step-by-step explanation:4/3x-2/3x=2/3x

6+2=8

2/3x=8

x=12

Answer:

X = 12

Step-by-step explanation:

2​x+2=34​x−6

Multiply both sides of the equation by LCM

(32​x+2)×3=(34​x−6)×3

CalculateMore Steps

 2x+6=(34​x−6)×3

CalculateMore Steps

 2x+6=4x−18

Move the variable to the left side

2x+6−4x=−18

Subtract the termsMore Steps 

−2x+6=−18

Move the constant to the right side

−2x=−18−6

Subtract the terms

−2x=−24

Multiply both sides

−2x(−21​)=−24×(−21​)

SimplifyMore Steps

 −2x(−21​)=12

Solution

x=12

Answer:

The answer is 97.75

Step-by-step explanation:

115x.15=17.25

115-17.25=97.75

Answer:

(7j + 1/8q + 3) - (5/8q - 11 + 2j)

7j + 1/8q + 3 - 5/8q + 11 - 2j

5j - 1/2q + 14

The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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The value that would have the most dots on a line plot is given as follows:

4.25.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as a table, in a different format.

A line plot is built from the dot plot, in which:

Hence the value 4.25 is the value in this problem that would have the most dots in a line plot, as it is the value that appears the most times in the data-set (only value to appear three times).

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Answer:

-9.85

Step-by-step explanation:

-15.5 - 4.2 = -19.7

Negatives work like positives

19.7 / 2 = 9.85

Turn that into a negative

-9.85

The solution when Kaitlyn has at least five purses using signs and number is N ≥ 5

Equations and inequalities are both mathematical sentences formed by relating two expressions to each other.

When two expressions are equal, we use the equal sign ( = ). But when we are trying to compare two values or expressions, we use the inequality signs like greater than (>), less than (<), greater than or equal to ( ≥ ) and less than or equal to (≤)  

Given that: Kaitlyn has at least five purses

In order to solve this problem with signs and number, you will make use of the inequality that explains the situation:

Let the number of purses be N

Kaitlyn having at least five purses means she has 5 purses or more. Using inequality, the number of purses is greater than or equal to 5. Thus:

N ≥ 5

Therefore, the solution using signs and number is N ≥ 5

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Answer:

  5.8 in

Step-by-step explanation:

The drop will be ...

  (1/10 in)/(1 ft) × (58 ft) = 58/10 in = 5.8 in

Answer:

17

Step-by-step explanation:

180 - 5 - 5 = 170 : 2 = 85 : 5 = 17

Answer: The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality.

What exactly is inequality?

A variation between two values indicates whether one is smaller, larger, or otherwise unrelated to the other.

In other words, inequality is the inverse of equality. For example, if 2 = 2, it is equal; however, if I say 3 = 6, it is incorrect; the correct expression is 3 6.

Step-by-step explanation:As per the given phrase,

y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ (2/3)x + 1

y is less than negative one-fourth times x plus 2 ⇒ y < (-1/4)x + 2

Substitute, point (−6, −3)

-3 ≥ (2/3)(-6) + 1

-3 ≥ -3  

Substitute in second inequality,

-3 < (-1/4)(-6) + 2

-3 < 7/2