Use distributive property to rewrite (3+8)15

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:

x=4

Step-by-step explanation:

20x+25x=180

45x = 180

x = 4

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! :)

To find the number of overtime hours, x, that the welder needs to work each week can be found by the inequality 20x if x>40.

Inequality, A mathematical declaration expressing an order connection between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.

Let x be the number of overtime hours.

A welder gets paid $12 per hour for the first 40 hours worked

⇒ 12x if x≤40

A welder gets paid $20 per hour for each overtime.

⇒ 20x if x>40

Now the welder wants to make $600 per hour,

So, the inequality used for finding the value of x is -

⇒ 20x if x>40

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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

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

The distance between the pair of points J( 7, 11) and K (-1, 5) is equal to 10.

As given in the question,

Given pair of points are J( 7, 11) and K (-1, 5)

Let  J( x₁ ,y₁)  =  J( 7, 11) and K (x₂, y₂)  = K (-1, 5)

Distance between pair of points ( x₁ ,y₁) , (x₂, y₂) is equal to

[tex]= \sqrt{(y_{2}-y_{1})^{2}+ (x_{2}-x_{1})^{2} } \\\\=\sqrt{(5-11)^{2}+ (-1-7)^{2} }\\\\= \sqrt{36 +64}\\ \\=\sqrt{100}[/tex]

= 10 units

Therefore, the distance between the pair of points J( 7, 11) and K (-1, 5) is equal to 10.

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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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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.

The total amount it costs Jeff and Valerie to fill up their vehicles.

The correct option is D.

bx is most likely the amount it costs Jeff and Valerie to fill up their cars because they both pay x dollars per gallon.

Ay = Megan Bx

= Valerie and Jeff

Ay + Bx = Megan + Valerie and Jeff

Algebra is a field of mathematics that assists in the depiction of problems or situations using mathematical expressions. To produce a meaningful mathematical expression, variables like as x, y, and z are used, as well as mathematical operations such as addition, subtraction, multiplication, and division.

Working from left to right, first complete multiplication and division, then addition and subtraction.

The principles of algebra include numbers, variables, constants, expressions, equations, linear equations, as well as quadratic equations.. It also includes basic mathematical operations such as addition, subtraction, multiplication, and division within algebraic equations.

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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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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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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 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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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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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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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

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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This is due to the fact that each y-value has a single x-value. It is not a one-to-one function if the horizontal line crosses the graph more than once since there is more than one x-value for some y-values.

A horizontal line is not a function, so why not?

The horizontal line has one y value for every x, whereas a function cannot have two y values for the same x.

Do functions pass the horizontal line test?

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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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According to the question, the two equations are neither parallel nor perpendicular is 4x + 2y = 10 and x+2y =6.

When the slope of the two lines are same, then the lines are parallel to each other. And when the multiplication of the two slope is negative one, then the lines are perpendicular with each other.

Now, the slope of the first equation that is 4x + 2y = 10

slope([tex]m_{1}[/tex]) = (10 - 4x)/2 = 5

Comparing the above equation with y = mx + c

Similarly,

slope([tex]m_{2}[/tex]) = (6 - x)/2 = 3

Therefore, the calculated slopes are neither parallel nor perpendicular.

What is slope?

The slope of the line is the ratio of the horizontal axis and the vertical axis. And to calculate the slope of the lines which are parallel or perpendicular by comparing it with the standard equation. When the slopes of two or more equations are same then the lines are parallel. When the multiplication of the slope between the lines is negative one, then it is perpendicular.

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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

Answer:

here ya go ! also , 0.6 = 3/5 and 1/5 = .2

Step-by-step explanation:

The lengths of each line segment are listed below:

In this problem we find three line segments, of which the coordinates of all ends are known, and we must determine the lengths of each segment, task to be done by applying Pythagorean theorem.

If we know that A(x, y) = (0, 2), B(x, y) = (5, 4), C(x, y) = (- 6, 0), D(x, y) = (- 7, 5), E(x, y) = (- 5, - 8), F(x, y) = (- 6, - 2), then the length of each segment is:

AB = √[(5 - 0)² + (4 - 2)²]

AB = √(5² + 2²)

AB = √(25 + 4)

AB = √29

AB ≈ 5.385

CD = √[[- 7 - (- 6)]² + (5 - 0)²]

CD = √[(- 1)² + 5²]

CD = √(1 + 25)

CD = √26

CD ≈ 5.099

EF = √[[- 6 - (- 5)]² + [- 2 - (- 8)]²]

EF = √[(- 1)² + 6²]

EF = √(1 + 36)

EF = √37

EF ≈ 6.083

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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 shape of a stop sign is the shape of a regular octagon. Each interior angle of the regular octagonal, m < LSR = 135.

A regular octagon's area is inscribed in a circle with a radius of one unit. Divide the octagon into eight congruent triangles. The area of one triangle and multiply it by 8 to get the area of the entire octagon.

Because of its eight connected vertices, an octagon has eight sides. As a result, when we assign circle = 1, it has only one side, which is a curve, whereas when we assign octagon = 8, it has eight sides, so we assign it the value 8.

The shape of a stop sign is the shape of a regular octagon.

Each exterior angle of the regular octagonal sign is 360/8 = 45.

So, each interior = 180 – 45 = 135.

m < LSR = 135.

Therefore, the interior angle of the regular octagonal, m < LSR = 135.

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