Write the following as an inequality
6 Is greater than w, and 1 is less than or equal to w
Use w only once in the inequality

Answer:

c.

Step-by-step explanation:

the inner angle is half of the sum of both outer angles.

65 = 1/2 × (36 + x)

130 = 36 + x

x = 130 - 36 = 94°

The exact length of segment AB is equal to: D. √13 units.

Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Where:

x and y represents the data points (coordinates) on a cartesian coordinate.

Substituting the given points into the distance formula, we have the following;

Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]

Distance = √[(4 - 2)² + (5 - 2)²]

Distance = √[(2)² + (3)²]

Distance = √(4 + 9)

Distance = √13 units.

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Answer:

Step-by-step explanation:

You want linear equations in standard form that describe the relations in the given tables.

A useful two-point formula for creating an equation in general form is ...

  (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0

This will simplify to an equation of the form ...

  ax +by +c = 0 . . . . . . general form equation for a line

The corresponding standard form equation is ...

  ax +by = -c . . . . . . . . standard form equation for a line

The standard form has mutually prime coefficients and a positive leading coefficient. That may require removal of any common factors.

  (2 -(-2))(x -(-5) -(-1 -(-5))(y -(-2)) = 0

  4x +20 -4y -8 = 0 . . . . . . . . coefficients have a common factor of 4

  x -y +3 = 0 . . . . . . . . . general form

  x -y = -3 . . . . . . . . . standard form

  (12 -20)(x -(-2)) -(0 -(-2))(y -20) = 0

  -8x -16 -2y +40 = 0 . . . . . . coefficients have a common factor of -2

  4x +y -12 = 0 . . . . . . . . simplified to general form

  4x +y = 12 . . . . . . standard form

__

Additional comment

Another useful form of the equation of a line is "intercept form":

  x/a +y/b = 1 . . . . . . . where 'a' is the x-intercept and 'b' is the y-intercept

The table for line k shows the x-intercept is (3, 0) and the y-intercept is (0, 12). Then the line can be written as ...

  x/3 +y/12 = 1

Multiplying by 12 gives ...

  4x +y = 12 . . . . the required standard form

Answer:

Metallurgy is the science that studies how metals work. It involves the extraction of metals from ores, their purification, and their conversion into useful alloys. Metallurgists also study the physical and chemical properties of metals, as well as their behavior under different conditions such as temperature and pressure.

Step-by-step explanation:

Hello,

the answer is "studies of how metals work."

Reason:

the answer is the science that studies how metals work.

If you need anymore help feel free to ask me!

Hope this helps!

~Matthew1756654

Answer:

Yes

Step-by-step explanation:

Answer:

Is Wendy was going faster at 10.5 mph.

To find mph, you divide the distance by the time. 63 divided by 6 is 10.5, which is faster than 10.1

Answer:

III

Step-by-step explanation:

The option that would most likely contribute toward lowering the premium a policyholder pays for life insurance is III - maintaining good health.

Choosing whole instead of term insurance, decreasing the death benefit, and taking up smoking would increase the premium a policyholder pays for life insurance. Whole life insurance typically has higher premiums than term life insurance, decreasing the death benefit reduces the amount of coverage provided by the policy, and taking up smoking increases the risk of premature death and therefore increases the likelihood that the policy will need to pay out.

On the other hand, maintaining good health reduces the risk of premature death and lowers the likelihood that the policy will need to pay out. Therefore, insurance companies typically offer lower premiums to policyholders who maintain good health.

Answer:

answer is B

Step-by-step explanation:

II, III

The maximum possible height for the fish tank is 3.37 feet.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

Given that, one cubic foot of water is equivalent to 7.48 gallons.

The capacity of the fish tank is 100 gallons

Now, height = Number of gallons/7.48

= 100/7.48

= 13.37 feet

Therefore, the maximum possible height for the fish tank is 3.37 feet.

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Answer:

Representation B does not show the amount of time Kaleigh spent watching TV at this rate. Representation B only shows the total time she would have spent based on the number of episodes watched, assuming each episode is 30 minutes long. It does not take into account the actual time it took for Kaleigh to watch the episodes, which may have varied depending on how quickly she watched them.

Step-by-step explanation:

The correct order of the fractions is: (1)/(5), (1)/(2), (4)/(5), 1(3)/(10), 1(9)/(10).

To order the fractions using the number line, we need to compare each fraction and determine which one is smaller or larger. Here are the steps to do this:

1. Find the least common denominator (LCD) of all the fractions. In this case, the LCD is 10.

2. Convert each fraction to an equivalent fraction with the LCD as the denominator. This means multiplying the numerator and denominator of each fraction by the same number to get the LCD as the new denominator.

- (1)/(2) = (1*5)/(2*5) = (5)/(10)
- (4)/(5) = (4*2)/(5*2) = (8)/(10)
- (1)/(5) = (1*2)/(5*2) = (2)/(10)
- 1(3)/(10) = (13)/(10)
- 1(9)/(10) = (19)/(10)

3. Now that all the fractions have the same denominator, we can compare the numerators to determine the order of the fractions.
4. Arrange the fractions from smallest to largest according to their numerators:
- (1)/(5) = (2)/(10)
- (1)/(2) = (5)/(10)
- (4)/(5) = (8)/(10)
- 1(3)/(10) = (13)/(10)
- 1(9)/(10) = (19)/(10)

In conclusion, to order the set of fractions (1)/(2),(4)/(5),(1)/(5),1(3)/(10),1(9)/(10) using the number line, we need to find the least common denominator, convert each fraction to an equivalent fraction with the LCD as the denominator, and then compare the numerators to determine the order of the fractions.

The correct order is (1)/(5), (1)/(2), (4)/(5), 1(3)/(10), 1(9)/(10).

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The total surface area of the hollow hemisphere is 1736.4 cm²

The total surface area of a large round bowl (hollow hemisphere) can be calculated by finding the surface area of the outer hemisphere and the surface area of the inner hemisphere and area of the ring and adding them together.

The formula for the surface area of a hemisphere is 2πr^2, where r is the radius of the hemisphere.

The outer radius of the bowl is 12 cm, so the surface area of the outer hemisphere is:

Surface area of outer hemisphere = 2π(12)^2 = 2π(144) = 288π

The inner radius of the bowl is the outer radius minus the thickness, which is 12 - 1 = 11 cm. So the surface area of the inner hemisphere is:

Surface area of inner hemisphere = 2π(11)^2 = 2π(121) = 242π

area of the concentric circle joining the outer surface and inner surface is π(12²-11²)= 23π

The total surface area of the bowl is the sum of the surface area of the outer hemisphere and the surface area of the inner hemisphere:

Total surface area = 288π + 242π + 23π = 553π

So the total surface area of the bowl is 530π cm^2.

then we can use the approximation π ≈ 3.14 to find the total surface area:

Total surface area ≈ 553*(3.14) ≈ 1736.4 cm^2

So the total surface area of the bowl is approximately 1736.4 cm^2.

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Given that △ABC ≅ △XYZ which of the following are pairs of corresponding parts of the triangles ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z and  AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Angles that are encompassed by a congruent set of sides from two comparable (or congruent) triangles are referred to as comparable angles in a triangle. In a triangle, corresponding angles are of the same measure.

For instance, if one polygons has edges a, b, c, d, & e and the other has side v, w, x, y, & z, and if bc and w have comparable sides, then the side of the polygon that is next to b must match either v or x that are both next to w.

Corresponding angles: ∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z.

Corresponding sides: AB ≅ XY, BC ≅ YZ, AC ≅ XZ.

Corresponding sides: AB ≅ XY.

Corresponding sides: AB ≅ ZY.

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The measure of the height of the tin in mm can be found using the steps below.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Here, the activity is to measure the height of a tin.

Height of the tin is the vertical distance from the base of the tin to the top of the tin.

The height of the tin is the exact straight line measurement when the tin is placed upright on a flat surface.

The measurement has to be in millimeters.

So the best tool is the ruler.

Place the ruler vertically with the point 0 at the base line of the tin.

Mark the point in millimeters that the ruler coincides with the top of the tin.

Read the height to the nearest millimeter.

Hence the height of the tin can be measured as above.

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The theorem you mentioned is known as Meusnier's theorem. The edge of regression of the polar developable of a space curve is the locus of the center of spherical curvatures.

It states that the locus of the center of spherical curvature of a space curve is the edge of regression of the polar developable of the curve. In other words, the center of curvature of a curve at any point lies on the edge of regression of the polar developable curve.

This theorem is used to describe the curvature of a curve in three-dimensional space. It is named after the French mathematician Jean Baptiste Meusnier, who first discovered it in 1776.

In mathematical terms, the theorem can be expressed as follows:

Let C be a space curve with curvature k and torsion T. Let P be a point on C and N be the normal vector at P. Then, the center of curvature of C at P is given by:

O = P + (1/k)N

The edge of regression of the polar developable of C is the locus of the point O as P varies along C.

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The sοlutiοn tο the given prοblem οf the triangle cοmes οut tο be triangle side lengths are multiples οf triangle side lengths is untrue.

A triangular is a pοlygοn because it has twο οr maybe mοre additiοnal sectiοns. It has a straightfοrward square fοrm. Only the edges A, B, but alsο C distinguishes a triangular frοm a parallelοgram. When the sides are nοt exactly cοllinear, Euclidean geοmetry prοduces a singular plane instead οf a cube. If a shape has three edges and three angles, it is said tο be triangular.

Here,

A cοllectiοn οf the three pοsitive integers a, b, and c knοwn as a Pythagοrean triple fulfill the fοrmula a² + b² = c², where c is the hypοtenuse length οf a right triangle οf legs οf length a and b.

Triangle has sides that are 6, 8, and 10 in length. The Pythagοrean Theοrem is satisfied by these three numbers:

6² + 8² = 36 + 64 = 100 = 10²

Triangle is a right triangle as a result, and its side lengths make a Pythagοrean triple.

Hence, The statement that triangle side lengths are multiples οf triangle side lengths is untrue.

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The point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets the plane 3x - 5y + 2z = 6 is (4/3, -2/3, -2/3).

To find the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets the plane 3x - 5y + 2z = 6, we can use the following steps:

Find the normal vector of the plane 2x - y - z = 4. This is given by the coefficients of the x, y, and z terms, which are 2, -1, and -1, respectively. So the normal vector is (2, -1, -1).

Since the line through the origin is perpendicular to the plane, it must be parallel to the normal vector of the plane. Therefore, the direction vector of the line is (2, -1, -1).

The equation of the line through the origin with direction vector (2, -1, -1) is given by x = 2t, y = -t, and z = -t, where t is a parameter.

Substitute the equations of the line into the equation of the plane 3x - 5y + 2z = 6 to find the value of t:

3(2t) - 5(-t) + 2(-t) = 6

6t + 5t - 2t = 6

9t = 6

t = 2/3

Substitute the value of t back into the equations of the line to find the point of intersection:

x = 2(2/3) = 4/3

y = -(2/3) = -2/3

z = -(2/3) = -2/3

Therefore, the point in which the line through the origin perpendicular to the plane 2x - y - z = 4 meets the plane 3x - 5y + 2z = 6 is (4/3, -2/3, -2/3).

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Answer:

20000

Step-by-step explanation:

1.4 divided by 0.007%

1.4 - 0.0007%

x - 100%

0.0007x = 1.4

x = 2000

∴ 1.4 is 0.0007% of 2000.

Answer:

25%

Step-by-step explanation:

p/w =x/100 for a percentage

93.75/125 = x/100

93.75×100= 9375

9375 = 125x

9375/125 =75

x=75

So she paid 75% of the original price, meaning the jeans were 25% off.

The value of x for the given equation is 16.

To find the value of x in the equation x + 10 = 26, we need to isolate x on one side of the equation by performing the same operation to both sides of the equation.

We can start by subtracting 10 from both sides of the equation:

x + 10 - 10 = 26 - 10

Simplifying the left-hand side gives:

x = 16

Therefore, the value of x is 16, as this is the solution that satisfies the equation x + 10 = 26.

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The complete question is below:

Find the value of x: for x +10 = 26

In statistics, a linear relationship is a connection that runs in a straight line between two variables (or linear association).

Both a mathematical representation of a linear relationship, in which the dependent variable is produced by multiplying the independent variable by the slope coefficient and a constant, and a graphic representation of a linear relationship, in which the variable and constant are connected by a straight line.

A polynomial or non-linear (curved) relationship can be contrasted with a linear relationship.

A linear relationship is one that mathematically answers the question:

y = mx + b

Where,

m = slope

b = y-intercept

"X" and "Y" are two variables in this equation.

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Answer:

Hey there! [tex]x + y = 500 \ 215x + 615y = 187500[/tex]Answer is the first option. Hope this helps.

Step-by-step explanation:

just did it

Answer:

Below

Step-by-step explanation:

Slope, m, is equal to 'rise'  (change in y) divided by 'run' ( change in 'x')

when going L to R

change in x is from -2 to 2  is a change of   +4

change in y is 24 to 8     a change of  - 16

slope = -16/4 = - 4

Answer:

The graph of y=1/2x-10 is a straight line with a slope of 1/2 and y-intercept of -10. It slopes upward from left to right and intersects the y-axis at -10.

On the other hand, the graph of y=1/x is a hyperbola that passes through the origin and has asymptotes at x=0 and y=0. It consists of two branches that curve towards the asymptotes in opposite directions.

Compared to the graph of y=1/x, the graph of y=1/2x-10 is a simpler and more predictable shape. It does not have asymptotes and has a constant slope. It also does not pass through the origin, unlike the graph of y=1/x.

We would expect to find 375 red marbles in the large box if the sample is a good representation of the marbles in the box.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

If the scoop is a good sample of the marbles in the large box, we can assume that the proportion of each color of marbles in the scoop is representative of the proportion of each color in the entire box.

To find the expected number of red marbles in the large box, we need to determine the proportion of red marbles in the sample.

The total number of marbles in the sample is 15 + 20 + 5 = 40. The proportion of red marbles in the sample is:

15/40 = 0.375

This means that 37.5% of the marbles in the sample are red.

To find the expected number of red marbles in the large box, we can multiply the proportion of red marbles in the sample by the total number of marbles in the box:

0.375 x 1000 = 375

Therefore, we would expect to find 375 red marbles in the large box if the sample is a good representation of the marbles in the box.

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Answer:

Should be the second answer.

Step-by-step explanation:

Answer: (0, 48)

Step-by-step explanation:

To find the y-intercept, plug the x and y values in the equation y = -3x + b, and leave the b the same.

I will use (11, 15)

15 = -3(11) + b

15 = -33 + b

48 = b

The y-intercept is (0, 48)

Equation is y = -3x + 48

Hope this helps!

The value of the missing side of the triangles are;

1. 10in

2. 12 mi

Using the Pythagorean theorem which states that the square of the hypotenuse side is equal to the square of the other two sides.

This is written as;

a² = b² + c²

For the first triangle, we have that;

a² = 6² + 8²

find the squares

a² = 36 + 64

Add the values

a² = 100

Find the square root

a = 10in

For the second triangle

x² = 13² - 5²

find the squares

x² = 169 - 25

Subtract the values

x² = 144

Find the square root

x = 12 mi

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The expression that is equivalent to the given expression, 8x + 4, is 4(2x +1)

From the question, we are to determine the expression that is equivalent to the given expression.

The given expression is:

8x + 4

To determine the expression that is equivalent to the given expression, we will factorize the given expression.

First, we will determine the Greatest common factor (GCF) of the terms in the expression.

The terms in the expression are 8x and 4

The GCF of 8x and 4 is 4

Thus,

We can factor the expression as shown below:

8x + 4

4(2x + 1)

Hence, the expression is 4(2x + 1)

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The relative frequency of a student being a tenth grader that gets their news from the internet is 0.79.

What is frequency ?

Frequency refers to the number of times that an event or value occurs within a specific period or dataset. It is a measure of how often a particular value or category appears in a set of data. The frequency can be expressed as an absolute count or as a proportion or percentage relative to the total number of observations in the dataset. Frequency is often used in statistical analysis to describe the distribution of data and to calculate various measures of central tendency and variability.

The relative frequency of a student being a tenth grader that gets their news from the internet is given by:

(number of tenth graders who get their news from the internet) / (total number of students)

So, the relative frequency for tenth graders is

34/175 = 0.194

Rounding to the nearest hundredth gives 0.19.

Therefore, the relative frequency of a student being a tenth grader that gets their news from the internet is 0.79.

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The value of x is 45 in the provided assertion, and the cointerior angles do sum up to 180°, indicating that AD and BC are parallel.

Parallel in mathematics refers to two lines which never cross one another; picture an equal symbol. Three close pals' parallel lives could be depicted in a tale.

(a)

3x + x + 2x + 90 = 360

6x = 360 - 90

6x = 270

x = 45

(b) The answer will be yes, they would be parallel.

We can justify this using co-interior angles, which state that 2 angles subtended by parallel lines add up to 180°

We can check this with both angles 3x & x, or 2x & 90°.

If AD and BC are parallel, then 3x + x = 180, and since you already found the value of x we can substitute this in:

3(45) + (45) = 180

135 + 45 = 180

180 = 180

So the co-interior angles do add up to 180°, which means that AD and BC are parallel.

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