Write 6.012 as a mixed number in simplest form

Answer:

A)

x + 7 < 5

Shows inequality

The correct inequality that represents the solutions on the given number line is C) [tex]\( x - 5 > 2 \).[/tex]

To find the correct inequality, we need to determine which one corresponds to the shaded portion of the number line. The shaded portion indicates the set of all [tex]\( x \)[/tex] values that satisfy the inequality.

Let's analyze each option:

A) [tex]\( x + 7 \leq 5 \)[/tex]

If we solve this inequality, we get:

[tex]\( x \leq 5 - 7 \)[/tex]

[tex]\( x \leq -2 \)[/tex]

This inequality would be represented by a number line shaded to the left of -2, including -2 itself. This does not match the given number line, which is shaded to the right of a point.

B) [tex]\( x + 3 \geq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \geq 1 - 3 \)[/tex]

[tex]\( x \geq -2 \)[/tex]

This inequality would be represented by a number line shaded to the right of -2, including -2 itself. However, the inequality sign in the question is non-inclusive, which means -2 itself should not be shaded. This does not match the given number line, which has a shaded circle at the starting point of the shaded region, indicating inclusivity.

C) [tex]\( x - 5 > 2 \)[/tex]

Solving this inequality, we get:

[tex]\( x > 2 + 5 \)[/tex]

[tex]\( x > 7 \)[/tex]

This inequality would be represented by a number line shaded to the right of 7, not including 7 itself. This matches the given number line, which shows the shaded region starting just to the right of 7 (indicated by an open circle at 7).

D) [tex]\( x - 1 \leq 1 \)[/tex]

Solving this inequality, we get:

[tex]\( x \leq 1 + 1 \)[/tex]

[tex]\( x \leq 2 \)[/tex]

This inequality would be represented by a number line shaded to the left of 2, including 2 itself. This does not match the given number line, which is shaded to the right of a point and has an open circle at the starting point of the shaded region.

Therefore, the correct answer is C)[tex]\( x - 5 > 2 \)[/tex], as it accurately describes the shaded region on the given number line.

Answer:

8/3 or 2 2/3 as a mixed number

Step-by-step explanation:

Answer:

Can you please provide a picture of the line/segment?

Step-by-step explanation:

Radius: line from center of circle to side

Diameter: double the radius, goes straight through middle of circle

Secant: line that intersects the circle in two different points

Chord: line that intersects the circle in exactly one point, called the point of tangency

hope that helps :)

Answer:

red one

Step-by-step explanation:

you do rise over run

Answer:

4/3

Step-by-step explanation:

you are going up 4 and right 3 therefore its positive because if it were negative it would be down 4 left 3

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

a triangle is bacicly half of a rectangle so 3 x 6 is 18 but since it's just half, you divide by 2 and you get 9!

Step-by-step explanation:

Phytagoras Theorem :

c² = a² + b²

c² = 3² + 6²

c² = 9 + 36

c² = 45

c = √45

So, the exact length og the third side is √45

Hope it helpful and useful :)

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8  + 34  + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

Answer:

$3.16

Step-by-step explanation:

$2.95 + 7%= 3.1565

by rounding up you get $3.16.

Answer:

$3.16

Step-by-step explanation:

To find the total, find how much the tax is.  Multiply the price of the notebook by the percentage the tax is.

$2.95 × 0.07 = $0.21

Add the value of tax with the price of the book.

$2.95 + $0.21 = $3.16

You can also solve this problem by multiplying the price of the notebook by the percentage of the tax plus one.

$2.95 × 1.07 = $3.16

Answer:

A and B

Step-by-step explanation:

also hey becky!

Answer:

d) [tex]y=-\frac{1}{2} (x-3)^{2} -4[/tex]

Step-by-step explanation:

When you reflect an equation the slope is the opposite (if the slope is positive it'll be negative when reflected)

The slope is [tex]\frac{1}{2}[/tex] and when it is reflected it is [tex]-\frac{1}{2}[/tex]

When you shift something to the right you add [tex](x-3)^{2}[/tex]

Answer:Why would I know?

Step-by-step explanation: get good fam

Answer:

12

Step-by-step explanation:

So you know you need three different articles of clothing

There are three different types of shirts, two types of pants, and two types of shoes

All you do is simply multiple the three by two and then two again

If it helps to branch it out so you visually see it, that is a great option

but in sum, 3x2x2 is 12, so there are 12 different combos

Answer:

B.)

Step-by-step explanation:

the pictures aren't loading but i think we have the same problem if this is on edge, b is a straight line that passes through the origin, a c and d do not line up

The graph of ordered pairs that shows a proportional relationship is: Graph 1

A proportional relationship is defined as a relationship between two variables where the ratio of the variables is always the same. In other words, one variable is always a constant multiple of the other variable.

Graph 1: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = -4/2 = -2

Graph 2: The rate of change of y with x for the two points are:

m = 3/1 = 3

m = -2/-2 = 1

Graph 3: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = 1/-3 = --1/3

Graph 4:  The rate of change of y with x for the two points are:

m = 1/2

m = 3/5

Thus, the only one that represents a proportional relationship is Graph 1

Read more about proportional relationship at: https://brainly.com/question/12242745

#SPJ3

Answer:

x²y²+xy²+3+xy+2y²

Step-by-step explanation:

(2x²y²+x²y+xy²+3)-(x²y²+x²y²+x²y-xy-2y²)

1. remove the parentheses (when there’s - in front of an expression  in parentheses  change the sign of each term of the expression)

2x²y² + x²y + xy² + 3-x²y² - x²y² - x²y + xy - 2y²

2. eliminate the opposites

2x²y² + xy² + 3 -x²y² + xy +2y²

3. collect like terms

x²y² + xy² + 3 + xy + 2y²

The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.

To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.

Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.

Answer:the length of a soccer field

PLZ GIVE ME BRAINLIEST

C.

Step-by-step explanation:

Answer:

The length of JL is 18 feet

Step-by-step explanation:

This is true because the sides double in length

Answer:

18 ft

Step-by-step explanation:

The triangles are similar so the ratios must be the same

GI              IH

--------- = -------------

JL              LK

9               12

--------- = -------------

JL              24

Using cross products

9 *24 = JL *12

Divide each side by 12

9*24/12 = JL*12/12

18 = JL

Answer:

-1215.

Step-by-step explanation:

For a geometric sequence:

nth term = a1 r^(n-1)

The first term a1 = 5 and the common ratio r  = -15/5 = -3.

So 6th term = 5 * (-3)^(6-1)

=  5 * (-3)^5

= -1215.

The 6th term in this geometric sequence should be considered as the -1215.

The following formula should be used for the same.

nth term = [tex]a_1\ r^{(n-1)[/tex]

Here,

The first term a1 = 5

and the common ratio r  = [tex]-15/5[/tex]= -3.

So 6th term should be

[tex]= 5 \times (-3)^{(6-1)}[/tex]

[tex]= 5 \times (-3)^5[/tex]

= -1215

Hence, The 6th term in this geometric sequence should be considered as the -1215.

Learn more about geometric here: https://brainly.com/question/16009711

Answer:

A≈226.19

Step-by-step explanation:

The formula is A=2πrh+2πr²

you fill in the radius and get A=2π4h+2π4²

Then fill in the height and get A=2π4×5+2π4²

and your final answer would be A≈226.19

Answer:

Answer is B. 9.3

Step-by-step explanation:

I took the test

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that:

mean of 26 and a standard deviation of 4, For:

For x = 27:

z = (27 - 26) / 4 = 0.25

For x = 28:

z = (28 - 26) / 4 = 0.5

P(0.25 < z < 0.5) = P(z < 0.5) - P(z < 0.25) = 0.6915 - 0.5987 = 0.093

There is a probability of 9.3% that the normal distribution data value is between 27 and 28

Find out more on z score at: https://brainly.com/question/25638875

Answer:

28.26

Step-by-step explanation:

This is the formula for area of a circle

A = pi r^2

Substitute the given values

A = 3.14 (3)^2

A = 3.14 (9)

28.26

Answer:

a) 72 cm2 (centimeter square)

b) 9 cm2 (centimeter square)

c) 9 cm2 (centimeter square)

d) 54 cm2 (centimeter square)

Step-by-step explanation:

a) the area of the rectangle = Base x Height

= 12 x 6

= 72 cm2 (centimeter square)

b) the area of the triangle A = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

c) the area of the triangle B = 1/2 x Base x Height

= 1/2 x 3 x 6

= 9 cm2 (centimeter square)

d) area of the parallelogram = area of the rectangle - area of triangle A - Area of triangle B

= 72 - 9 - 9

= 54 cm2 (centimeter square)

Answer:

49x^2 - 9 = 0

As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:

49 = 7^2

9 = 3^2

x^2 = (x)^2

so...

(7x - 3)(7x + 3) = 0

7x - 3 = 0 7x + 3 = 0

x = 3/7 x = -3/7

Step-by-step explanation:

Answer:

Hope this helps! If it doesn't let me know and I will try and answer it better!

Step-by-step explanation:

HL Congruence Theorem

This shows that _ AC ≅ . Therefore, △ABC ≅ △DEF by . Use the HL Congruence Theorem to prove that the triangles are congruent. A Given: ∠P and ∠R are right angles.

Answer: The area of the shaded sectors is 35.3 square kilometres

Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is  5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;

WZX + YZX = 180

108 + YZX = 180

Subtract 180 from both sides of the equation

YZX = 72°

Therefore the area of shaded sector YZX is given as;

Area of a sector = (∅/360) x πr²

Where ∅ is 72, and r is 5.3

Area of sector = (72/360) x 3.14 x 5.3²

Area of sector = 0.2 x 3.14 x 28.09

Area of sector = 17.64

Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)

The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)

Answer:

Area of the shaded region ≈ 35.3 km²

Step-by-step explanation:

Area of a sector = ∅/360 × πr²

angle on a straight line  = 180°

Therefore,

∠vzw = 180 - 108 = 72°

∠yzx = 180 - 108 = 72°

Area = 72 /360 × 22/7 × 5.3²

Area = 72 /360 × 22/7 × 28.09

Area = 44494.56/2520

Area = 17.656571429

Area = 17.66 km²

The area is one portion of the shaded part , the area of the 2 shaded sector will be

Area of zvw  + Area of zyx

Both area are same . They have same radius and the same angle.

Area of the shaded region = 17.66 + 17.66

Area of the shaded region ≈ 35.3 km²

Answer:

the answer is 6

Step-by-step explanation:

By pytagoras Theorem

hope its helpful