....................

Answer:

(w-12)(w+12)

Step-by-step explanation:

Using the identity

a^2-b^2=(a-b)(a+b)

now,

w^2-144=(w)^2-(12)^2=(w-12)(w+12)

-6 is the value of X

The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:

Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.

Because, both the angles given in the question are vertically opposite to each other

Therefore, angle 80 degree = angle 86 + X

i.e   80 = 86 + X

-->   80 - 86 = X

-->   -6 = X

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The simplified expression of (−4x − 15) + (17 + 7x) is - 11x + 2.

The expression can be simplified as follows:

(−4x − 15) + (17 + 7x)

we have to open the brackets of the expression

(−4x − 15) + (17 + 7x)

−4x − 15 + 17 + 7x

Combine like terms

−4x − 15 + 17 + 7x

- 4x + 7x  - 15 + 17

Do the arithmetic of the like terms

- 4x + 7x  - 15 + 17

Therefore,  the simplified expression is as follows:

- 11x + 2

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Answer: 3x+2

Ex:

(-4x-15)+(17+7x)

-4x-15+17+7x Remove unnecessary parentheses

3x-15+17 Add like terms

3x+2

If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).

A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as

-6 × (18z - 15)/(-6)

Further we get

-6 × (-3z + 15/6)

-6 × (-3z + 5/2)

which is the required value.

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Answer:

am pretty sure am correct i hope it helps you

Given point :

(-3, -2)

When the rotation is about 180 degree about the origin then a point M(h, k)

will become M'(-h, -k)

So, the point (-3, -2) will become (-(-3), -(-2)) that is (3, 2)

Answer : Option (B)

Given:

Number line is given.

D is point locateed in 2.6 on the number line.

D is in 2.6

Answer:

the answer is B

Step-by-step explanation:

Answer:

Positive Slope, the graph interprets how much it costs to rent a canol per hour.

Step-by-step explanation:

Pedro went to bed and slept 14 hours, when he woke up next day it was 10 am, it means he went to sleep 14 hours before 10am, it means he went to sleep at 8 pm

Given

Answer

Let the side of square be s

s = 10 ft

The correct value of the equation that's illustrated will be x² + 14x + 55= (x + 7)² + 6

It should be noted that an equation can be used in order to show the relationship between the variables.

It should be noted that (x + 7)² will be:

= (x + 7)(x + 7)

= x² + 7x + 7x + 49

= x² + 14x + 49

Therefore, x² 14x + 55 - (x² + 14x + 49) = 6

In conclusion, the answer in the box is 6.

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The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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From the given data-set, we have that:

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

To find the correlation coefficient, we find the same strategy, inserting these points into a calculator of correlation coefficients.

From the data, the points are given as follows:

(3, 7), (4, 8), (5, 10).

Hence the correlation coefficient is of:

r = 0.982.

The line of best-fit is given by:

y = 1.5x + 2.33.

Which has a slope of 1.5 and an intercept of 2.33.

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Given

Since they are similar

Then multiply

The final answer

Given,

The measurements of interior angles of a triangle are given:

60°, 65° and 55°

We have to find the corresponding exterior angles:

We know that exterior and interior angles are supplementary.

That is, the sum of the exterior and interior angle is 180°

So here,

180° - 60° = 120°

180° - 65° = 115°

180° - 55° = 125°

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Answer:

3 yards, 2 feet

Step-by-step explanation:

Convert the measurement as indicated. 11 ft=_yd_ft

There are 3 feet in a yard so 3 yards (equal to 9 feet) and a remainder of 2 feet equal 11 feet so:

11 feet = 3 yards, 2 feet

The linear function passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the coefficients are described as follows:

For this problem, the two points that form the function are given as follows:

(1,7) and (2.5, 1).

The slope is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the intercept b of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the equation is:

y = -4x + 11.

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An additional 36 gallons of water will be pumped into the pool past 13 minutes

Constant rate of flow: The definition of a constant rate of flow rate shows how fluid of a certain volume moves through a segment in a specified amount of time. Instead of measuring how quickly a fluid moves from point A to point B, the motion of fluids is examined by figuring out its flow rate. Specifically, how much fluid volume moves from point A to point B in a given amount of time.

Time for which water has been pumped into the pool = 13 minutes

Rate of flow of water = 24 gal/min

So, water pumped in 1.5 minutes = 24*1.5 = 36 gallons

Total water pumped in the pool in 14.5 minutes = 24*14.5 = 348 gallons

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The correct answer for the limit expression is √2 (π/4)(π - 5).

What is limit?

In mathematics, the value of the limit of a function always approaches as input and finally it approach to some value. It is used for the calculation of the continuity function, derivatives or calculus.

According to the question, the value of the variable 'x' should be substituted in the limit expression.

Now, the required expression will be:

[tex]\lim_{x \to \\pi /4} (secx)(4x^{2} -5x) = sec(\pi/4)(4(\pi /4)^{2} -5(\pi /4))[/tex]

Now, the value of the sec(pi/4) is √2

⇒ √2((π²/4)-5(π/4)) = √2 (π/4)(π - 5)

Hence, the correct answer for the limit expression is √2 (π/4)(π - 5).

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Answer:

A

Step-by-step explanation:

i just did this one

The weakness of plotting a scatterplot is given below

What is a scatterplot?

A scatterplot (also known as a scatter plot, scatter graph, scatter chart, scattergram, or scatter diagram) is a form of plot or mathematical diagram that uses Cartesian coordinates to represent values for a collection of data for generally two variables. One more variable can be presented if the points are coded (color/shape/size). The data is represented as a collection of dots, with the value of one variable defining the horizontal axis and the value of the other variable determining the vertical axis. A scatterplot can be used when one continuous variable is within the experimenter's control and the other is reliant on it, or when both continuous variables are independent.

The weakness of plotting a scatterplot is:

(A) This provides no indication of whether there is cause and effect relationship.

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Answer:

20

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Choose any two points on the line. For this, I will use (0, 5) and (1, 25):

[tex]\frac{25-5}{1-0}=\frac{20}{1} = 20[/tex]

Answer: 18

Step-by-step explanation:

n=number

-5=n/6 - 8

-5*6=6(n/6 - 8)

-30=n - 48

48-30=n-48+48

n=18

The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

Given data  or information :

Actual Product  =  ( – 21.06) (– 30.45)

Now let estimate the product by approximating the product to the nearest tenth.

Approximation :

So,

- 21.06 = - 21.1 ( Approximately )

- 30.45= - 30.5 ( Approximately )

Hence , her estimate can be calculated as :

Estimate :

Estimate =  ( - 21.1) (-30.5)

Estimate = - 643.55

Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

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The complete question is:

Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45

front-end estimation

rounding to the nearest tenth

rounding to the nearest whole number

compatible numbers

Answer:

168 meters

Step-by-step explanation:

If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole

Hope this helps

So,

We can identify that the function is increasing when it goes up.

In this graph, we can notice that the graph goes up in the intervals:

Answer: 37.2

Step-by-step explanation:

The circumference of the bike is [tex]0.3\pi \approx 0.3(3.14)=0.942[/tex] m.

Dividing this by the 35 m traveled, we get the bike turned [tex]\frac{35}{0.942} \approx 37.2[/tex]

Answer:

Step-by-step explanation:

-4x-2y=-6

-2y=-6+4x

divide by -2

y=3-2x

y=-2x+3

Using the comparison test, we have that [tex]\frac{2}{\sqrt[3]{n}}[/tex] is divergent, as the given sequence [tex]a_n = \frac{1}{n}[/tex] is divergent and [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1.

Suppose that we have two series, defined by [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex], considering that [tex]a_n, b_n \geq 0[/tex] for all n and [tex]a_n \leq b_n[/tex] for all n, then:

For this problem, the sequences are given as follows:

[tex]a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}[/tex]

Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.

From the graph, we have that [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1, and since [tex]\frac{1}{n}[/tex] is divergent, as stated in the problem, then [tex]\frac{2}{\sqrt[3]{n}}[/tex] is also divergent.

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The required result of the given inequality is n≤-3 or n>8.

What is inequality?

Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, -6n≥18 or n+10>18

-n≤18/6 or n>18-10

n≥-3or n>8

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