the set of all real numbers less than -8 or greater than or equal to -4 in set builder notation

The statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

Given,

The statement "The distance from point X to line q is the length of the segment perpendicular to line q from X "

From the figure we can say that the distance from point X to line q is the length of the segment perpendicular to line q from X.

So the given statement is true

Hence, the statement " The distance from point X to line q is the length of the segment perpendicular to line q from X" is true

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

The distance from point X to line q is the length of the segment perpendicular to line q from X .

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A. y-3 x=0 and B. y+2= (1/2)x are the equation that does not represent a direct variation.

Direct variation is a sort of proportionality in which one quantity fluctuates directly in response to a change in another number.

it is denoted as y = kx   (where is the constant)

it is not directly varied if y has two x solution.

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer:

D

Step-by-step explanation:

Similar question to the one on your quiz

The distance between them when the force is 36 pounds is 5.06 feet.

According to the statement

We have to find that the distance between two bodies.

So, For this purpose, we know that the

A force is a push or pull upon an object resulting from the object's interaction with another object.

From the given information:

If the force of attraction is 64 pounds when the distance between the bodies is 9 feet

Then

F1 =64 pounds, r1 = 9 ft

F2 = 36 , r2 = ?

The gravitational force of attraction is inversely proportional to the square of distance between the two bodies.

So, F2 / F1 = r1^2 / r2^2

36 / 64 = 9 / r2

r2 = 0.56*9

r2 = 5.06.

So, The distance between them when the force is 36 pounds is 5.06 feet.

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Answer:

12 ft

Step-by-step explanation:

there is less force so the distance is greater

Answer:

average rate of change = 4

Step-by-step explanation:

the average rate of change of f(x) in the closed interval [a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

here [ a, b ] = [ - 10, - 8 ] , then

f(b) = f(- 8) = 8 ← point on graph (- 8, 8 )

f(a) = f(- 10) = 0 ← point on the graph (- 10, 0 )

average rate of change = [tex]\frac{8-0}{-8-(-10)}[/tex] = [tex]\frac{8}{-8+10}[/tex] = [tex]\frac{8}{2}[/tex] = 4

The probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that:

Cars enter a car wash according to a Poisson process at a mean rate of 2 cars per half an hour.

Here the value of λ is:

λ = 2 cars/half an hour

λ = 4 cars/hour

The probability that, in an hour, at least 4 cars will enter the car wash:

P(x = 4) = 4⁴e⁻⁴/5

After solving:

P(x = 5) = 0.937 ≈ 0.94

Thus, the probability that, in an hour, at least 4 cars will enter the car wash is 0.94.

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The hypothesis is the phrase following the word if = "you are a teenager"

The conclusion is the phrase following the word then = "you are at least 13 years old."

A specific, verifiable prediction of what the researcher(s) believe the study's results will be is known as a hypothesis (plural: hypothese). It is stated at the outset of the investigation.

Most often, this entails speculating on a potential correlation between two variables: the independent variable (what the researcher modifies) and the dependent variable (what the research measures).

The null hypothesis and the alternative hypothesis (known as the experimental hypothesis when the technique of examination is an experiment) are traditionally written as two separate forms of the hypothesis in research.

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The equation of the axis of symmetry is x = 6

The equation of the parabola is given as:

y = 2x^2 - 24x + 86

Differentiate the equation of the parabola

So, we have

y' = 4x - 24

Set the differentiated equation of the parabola to 0

So, we have

4x - 24 = 0

Add 24 to both sides of the differentiated equation of the parabola

4x = 24

Divide both sides of the differentiated equation of the parabola by 4

x = 6

This represents the the axis of symmetry

Hence, the equation of the axis of symmetry is x = 6

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The system of inequalities for this problem is given by:

The graphical solution is given at the end of the answer, and one possible solution is 12 hours babysitting and 3 hours walking the dog.

A system of equations is when two or more variables are related, and inequalities are built to find the values of each variable.

For this problem, the variables are given as follows:

He can work no more than 16 total hours, hence:

x + y ≤ 16.

He must earn at least $120, hence, considering the earnings with each activity:

10x + 6y ≥ 120.

These two inequalities compose the system. The graphical solution is composed by points that:

The graphical solution is given by the region shaded in blue at the end of the answer.

One possible solution inside the region is:

(12,3).

Meaning that he can work 12 hours babysitting and 3 hours walking the dog.

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The least common multiple of each pair of the polynomial (5y² - 80) and

(y + 4) is equal to 5(y-4)(y+4).

As given in the question,

Given pair of the polynomial is (5y² - 80) and (y + 4)

Simplify the given polynomial using (a² -b²) = (a-b)(a +b)

(5y² - 80) = 5(y² -16)

⇒(5y² - 80) = 5(y² - 4²)

⇒(5y² - 80) = 5(y -4)(y + 4)

And  (y + 4) = (1) (y+4)

Least common multiple = 5(y-4)(y+ 4)

Therefore, the least common multiple of the given pair of the polynomial is 5(y -4)(y+ 4).

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Answer:

A or -0.02. I know how you feel man

Step-by-step explanation:

-5/25 = -2/10

-2/10 = -0.2

...

-0.02 > -0.2

-0.25 < -0.2

-0.2 = -0.2

-0.268 <  -0.2

Answer:

I say A, all the way!

Step-by-step explanation:

All my work is provided in the screenshot that is attached! :)

Answer: help is to make it easier for (someone) to do something by offering one's services or resources.

"they helped her with domestic chores"

Step-by-step explanation: hope this helps

Answer:0.02

Step-by-step explanation:

The key words in this problem is that you are compounding continuously, so that would be a equals p e to the r t power to show you that formula, and so when it says you have 2500 in the account e to the .4 excuse me, 0.0475 t Power is equal to, it says, doubling the investment, and so you just have to think about your doubling the investment you're going to take 2500 times to do it. The first thing i would do, then, is to divide the 2500 over which actually cancels out this 2500 point so you're. Looking at e to the .0475 t, power is equal to 2 right, 4.75 percent, so to solve for t want to natural log, both sides- i forgot my t in there so to solve for t natural log of 2 divided by 0475, so it takes about 14.593 Years or, however, you're supposed around it says: 2 decimals soul be 14.59 years all right, so on number 2, this time they give you the formula for ph is equal to negative log of the hydrogen plus atoms ions. So, basically, what they want you to do is take 1.7 plugging them, for the ph is equal to negative log of let's just call it h, and we have to solve for h now. So the first thing you want to do is to divide that negative 1.7. Over to undo log base 10, this would take 10 to that power and that's your answer not sure exactly where they want you to round says the nearest one hundredth would be .02, so the h plus items is equal to 0.02.

For the following system of equations: y = -2x + 10 , -x + y - 2z = -2 , and 3x - 2y + 4z = 7, the value of z in the solution is 3/2.

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using the substitution method, given three equation of three variables,

y = -2x + 10     (equation 1)

-x + y - 2z = -2     (equation 2)

3x - 2y + 4z = 7     (equation 3)

Using equation 1, substitute the value of y to equation 2 and 3.

-x + y - 2z = -2     (equation 2)

-x + (-2x + 10) - 2z = -2

-3x - 2z = -12

3x + 2z = 12     (equation 4)

3x - 2y + 4z = 7     (equation 3)

3x -2(-2x + 10) + 4z = 7

7x + 4z = 27    (equation 5)

Rewrite equation 4 as an equation of x in terms of z.

3x + 2z = 12     (equation 4)

3x = 12 - 2z

x = 4 - 2/3z      (equation 4)

Substitute the new equation 4 to equation 5 and solve for z.

7x + 4z = 27    (equation 5)

7(4 - 2/3z) + 4z = 27

28 - 14/3z + 4z = 27

-2/3 z = -1

z = 3/2

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Answer:

26 days

Step-by-step explanation:

you can use the formula 13/2=1/4d to find how many days the installation will take

If you divide both sides of the formula by 1/4 you will get 26

The equivalent expression of -6(b + 2) + 8 is -6b - 4

The expression is given as

-6(b + 2) + 8

Expand

-6b - 12 + 8

Evaluate the like terms

-6b - 4

Hence, the equivalent expression of -6(b + 2) + 8 is -6b - 4

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A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100.

The percent of the given number 65 % of 360 is 234.

A percentage in mathematics is a number or ratio that can be expressed as a fraction of 100. The term percent comes from the Latin "per centum" which means per hundred. The symbol percentage is used to represent percentage.

Let the equation be 65 % of 360

Percentage = (value/total value) × 100 %.

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

65 % of 360 = 65/100 of 360

65/100 × 360 = 234

Therefore, the percent of the given number 65 % of 360 is 234.

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Answer:

The player is running about 4 yards a second

Step-by-step explanation:

Answer:

2.5m a second

Step-by-step explanation:

When an angle exists encircled by a circle, its measure exists equivalent to the intercepted arc's measure divided by two.

The measure of m RT is 126.

The arc that is inside the inscribed angle and whose endpoints are on the angle is known as the intercepted arc. Anywhere on the circle that the sides of an inscribed angle intersect to produce an intercepted arc can serve as the angle's vertex.

Angles with vertices on a circle and that cross an arc on the circle are said to be inscribed angles. Half of the intercepted arc's length and half of the central angle's length intersecting that same arc make up the measure of an inscribed angle. Congruent inscribed angles are those that intersect the same arc.

According to the Inscribed Angle Theorem, an inscribed angle's measure is equal to half of its intercepted arc's measure. Congruent inscribed angles are those that intersect the same arc.

An angle's measure exists equivalent to the intercepted arc's measure divided by two when it is surrounded by a circle.

m RT = 2(m ∠S)

m RT = 2(m ∠S) = 126

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Answer:

60 square feet

Step-by-step explanation:

In the blue print, 6 cm represents 15 ft

So 1 cm represents 15/6 feet = 5/2 feet

4 cm long represents 4 x 5/2 = 10'

2 cm wide represents 2 x 5/2 = 5'

Area = 10' x 5' = 60 square feet

Answer:

60 square feet

Step-by-step explanation:

In the blue print, 6 cm represents 15 ft

So 1 cm represents 15/6 feet = 5/2 feet

4 cm long represents 4 x 5/2 = 10'

2 cm wide represents 2 x 5/2 = 5'

Area = 10' x 5' = 60 square feet

Answer:

yes

Step-by-step explanation:

1/10= 0.1 0.009= something less

Answer:

Yes

Step-by-step explanation:

1/10 (or 1 divided by 10) is .01

The expression that best represent the given statement is mn + p. The correct option is B. mn + p

From the question, we are to determine the expression that represents the given statement

The given statement is

"the product of quantities m and n increased by p"

The product of m and n can be written as,

m × n = mn

Increased by p means, p was added to the expression.

Thus,

The statement, the product of quantities m and n becomes

mn + p

Hence, the expression that best represent the given statement is mn + p. The correct option is B. mn + p

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Answer:

-10/9

Step-by-step explanation:

I made it so that 2/3 a -4/9 had the same denominator which turned 2/3 into 6/9

then I solved normally

The option that identifies the mistake that Miguel made is that Miguel found 5.78 ÷ 2 as 2.89, but incorrectly found the power of 10.

It should be noted that the number given is illustrated as:

5.78 × 10^5× 0.000002

= 2.89 × 10^5

Therefore, the mistake that Miguel made is that Miguel found 5.78 ÷ 2 as 2.89, but incorrectly found the power of 10.

In conclusion, the correct option is D

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Using algebraic expressions, The price per pound of this special blend will be $64.8

Let proportion of 8 pounds = x

8x + (1 - x)9.20 = 1 × 5.50

8x - 9.20x + 9.20 = 5.50

-1.20x+9.20 = 5.50

Lets get rid of the decimals for now and multiply everything by 100

= -120x+920 = 550

x = 3.08

So the proportion of the $5.54 is 1 - 37/12

Determine the weight proportion of each bean type

Price = $64.8

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Using the condition needed for a graph to represent a function, it is found that:

a) It can be noticed that these graphs do not represent functions.

b) The rationale is that they have vertically aligned points.

A graph represents a function if it has no vertically aligned points, that is, each value of x is mapped to only one value of y.

For this problem, we have that each graph has vertically aligned points, that is, they have values of x mapped to multiply values of y, hence they do not represent functions.

Examples of the vertically aligned points are given by:

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The slope of line ST is 4

The formula for determining the slope of a line is expressed as;

Slope = y2 - y1/x2 - x1

It is mostly represented with 'm' and it also known as the gradient of a line.

From the points given , we have that;

Substitute the values into the formula

Slope, m = -4 - 0/ -1 - 0

Slope, m = -4/ -1

Slope, m = 4

Thus, the slope of line ST is 4

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