Write the equation of the line, in point-slope form. Identify (x, y) as the point (-2, 2). Use the box provided or the upload
option to submit all of your calculations and final answers.

Answer:

y = 3 |x − 8| + 1

Step-by-step explanation:

y = 3 |x|

Shift right 8 units:

y = 3 |x − 8|

Shift up 1 unit:

y = 3 |x − 8| + 1

Answer:

6x + y = -18

Step-by-step explanation:

The given equation is,

y - 6 = -6(x + 4)

We have to rewrite this equation in the form of Ax + By = C

Where A, B and C are the integers.

By solving the given equation,

y - 6 = -6x - 24 [Distributive property]

y - 6 + 6 = -6x - 24 + 6 [By adding 6 on both the sides of the equation]

y = -6x - 18

y + 6x = -6x + 6x - 18

6x + y = -18

Here A = 6, B = 1 and C = -18.

Therefore, 6x + y = -18 will be the equation.

Answer:

i believe it's 4.5

Step-by-step explanation:

Answer:

14 in. hope this helps!!:)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

23^0 - 15^1 + 18^0 + (43 - 12) =

= 1 - 15 + 1 + 31

= -14 + 1 + 31

= -13 + 31

= 18

Answer: 52%

Step-by-step explanation:

Let the original price be 100.

After 40% reduction, price will be 100 - 40% = 60

After further 20% reduction, price will be 60 - 20% = 48

%age = (cur val - orig. val ) / orig val x 100

= (48 - 100) / 100 x 100%

= -52

The actual percentage of reduction is 52%

The first reduction is given as:

[tex]r_1 = 40\%[/tex]

The second reduction is given as:

[tex]r_2 = 20\%[/tex]

Assume that the original price of the item is x.

After the first reduction of 40%, the new price would be:

[tex]New = x\times (1 -r_1)[/tex]

So, we have:

[tex]New = x\times (1 -40\%)[/tex]

[tex]New = x\times 0.6[/tex]

[tex]New = 0.6x[/tex]

After the second reduction of 20% on the reduced price, the new price would be:

[tex]New = 0.6x\times (1 -r_2)[/tex]

So, we have:

[tex]New = 0.6x\times (1 -20\%)[/tex]

[tex]New = 0.6x\times 0.8[/tex]

[tex]New = 0.48x[/tex]

Recall that the original price is x.

So, the actual reduction is:

[tex]Actual = \frac{x - 0.48x}{x}[/tex]

[tex]Actual = \frac{0.52x}{x}[/tex]

Divide

[tex]Actual = 0.52[/tex]

Express as percentage

[tex]Actual = 52\%[/tex]

Hence, the actual percentage of reduction is 52%

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Bueno, usaré el español xD

11. Recordemos que entre más negativo es un número, menor es.

a) - 6 > - 10

ya que - 10 es más negativo, por consiguiente es menor, esto llega a confundir ya que tenemos la noción de que si vemos una cifra alta, por consiguiente es mayor, esto pasa en los positivos.

b) 12 > - 16

c) - 7 < 0

d) 35 > - 80

e) -37 < - 24

f) - 40 < 15

g) - 18 < 10

h) - 17 < 0

i) |-21| = |21|

El valor absoluto de un número negativo es su positivo, por lo que también puede ser:

21 = 21.

j) |176| > 0, o también 176 > 0

k) |-479| > |478|, o también 479 > 478

l) |-1375| = |1375|, o también 1375 = 1375

12. De menor a mayor.

a) - 8, - 7, - 4, 0, 3

b) - 16, - 12, - 7, 8, 9

c) - 15, - 13, 0, 9, 11

d) - 47, - 43, - 31, 14, 29

e) - 17, - 15, - 12, 16, 19

f) - 26, - 21, - 10, 17, 26

g) - 61, - 58, - 49, 30, 50

13. De mayor a menor.

a) 6, 4, - 1, - 5, - 7

b) 8, 0, - 7, - 11, - 13

c) 19, 6, - 8, - 10, - 17

d) 21, - 9, - 18, - 24, - 27

e) 53, 47, - 6, - 43, - 48

f) 14, 6, - 18, - 39, - 45

g) 24, 16, 12, - 12, - 17

Salu2

Answer:

1. = 8

2. =40

3. =37

Step-by-step explanation:

1. x = √(17² - 15²) = 8

2. x =√(9² +41²) = 40

3. x =√(12² + 35²) = 37

please mark brainliest

Answer:

1/2

Step-by-step explanation:

i think sin 5 pi/6

[tex]sin \frac{5 \pi}{6} =sin (\frac{\pi}{2} +\frac{\pi}{3} )=cos \frac{\pi}{3} =\frac{1}{2} \\or\\sin\frac{5 \pi}{6} =sin (\pi-\frac{\pi}{6} )=sin \frac{\pi}{6} =\frac{1}{2}[/tex]

The exact Value of sin 5x/6 is 1/2.

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

sin 5x/6

We can Split it as

sin (5π / 6) = sin (π/2 + π/3)

                  = cos π/3

                  = 1/2

Also, sin (5π / 6) = sin (π - π/6)

                  = sin π/6

                  = 1/2

Hence, the exact value is 1/2.

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Answer:

Adjusted-R2

Step-by-step explanation:

When evaluating a multiple regression model, a commonly used goodness of fit is the adjusted-R2. It allows for a comparison of regression models with multiple predictors or independent variables. The addition of independent variables usually causes the model to be more reliable. The adjusted-R2 considers the effect of additional independent variables. It usually adjusts for the number of terms in the model.

Answer:

The first choice.

Step-by-step explanation:

When you are using y≥, then this means that the positive area needs to be shaded, but as you can see, the negative area is shaded, so the symbol '≤' would best fit this.

Now, that we see that, we can eliminate the 2nd and 4th option.

Now, looking at points (0, 2) and (2, 3), the slope is 1/2 <-- rise over run.

So, the first option will be correct!

Hope this helps:)

Answer:

You have selected the correct one!

Step-by-step explanation:

Answer:

Volume of water in the pool is 3,182 ft^3

Step-by-step explanation:

In this question, what we want to calculate is the volume of water in the pool.

We proceed as follows;

diameter of pool = 30ft

depth: 2 to 7ft linearly

average depth = (2 + 7)/2 = 9/2 = 4.5 ft

Volume = area * average depth

V = pi * radius^2 * 4.5

where radius = diameter/2 = 30/2 = 15 ft

V = pi * 15^2 * 4.5

V = 22/7 * 225 * 4.5

V = 3,182.14 ft^3

which is 3,182 ft^3 to nearest whole number

The volume of water in the pool is; Volume = 3181 ft³

We are given;

Diameter of swimming Pool; d = 30 ft

Thus; radius; r = d/2 = 30/2 = 15 ft

We are told that the depth is constant along east-west lines and increases linearly from 2 ft at the south end to 7 ft at the north end.

Thus, average depth is;

h_avg = (2 + 7)/2

h_avg = 4.5 ft

Formula for area is; A = πr²

Thus;

A = π × 15²

A = 225π

Formula for volume here is;

Volume = Area × depth

Volume = 225π × 4.5

Volume = 3180.86 ft³

Approximating to a whole number gives;

Volume = 3181 ft³

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Answer:

x≤9  

Step-by-step explanation:

x−15≤−6

Add 15 to each side

x−15+15≤−6+15

x≤9  

Answer:

[tex]\boxed{x\leq 9}[/tex]

Step-by-step explanation:

[tex]x-15 \leq -6[/tex]

[tex]\sf Add \ 15 \ to \ both \ parts.[/tex]

[tex]x-15 +15 \leq -6+15[/tex]

[tex]x\leq 9[/tex]

Answer:

The variables that can be used in the analysis are:

Dependent variable: person's height (Height)

Independent variable: person's dad's height (DadsHt)

Step-by-step explanation:

A linear regression model is used to predict the value of the dependent variable based upon the value of the independent variable.

The general form of a linear regression model is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.

The dependent variables are also known as response variables.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.

The independent variables are also known as the predictor variables.

In this vase we need to form a regression model such that, a person's dad's height can be used to predict how short or tall the person will be.

That is, the dependent variable is the person's height and the independent variable is the person's dad's height.

The variables that can be used in the analysis are:

Dependent variable: person's height (Height)

Independent variable: person's dad's height (DadsHt)

Answer:

The proportion of these light bulbs that will last less than the advertised time is 18.94% or 0.1894

Step-by-step explanation:

The first thing to do here is to calculate the z-score

Mathematically;

z-score = (x - mean)/SD

= (1500-1550)/57 = -50/57 = -0.88

So the proportion we will need to find is;

P( z < -0.88)

We shall use the standard score table for this and our answer from the table is 0.1894 which is same as 18.94%

Answer:

-4.30

Step-by-step explanation:

The computation of the test statistic is shown below:

Data are given in the question

Sample = 55 night students

Sample mean = 2.3

Standard deviation = 0.02

Sample = 50 day students

Sample mean = 2.35

Standard deviation = 0.08

Based on the above information, the test statistic is

[tex]z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma _1^2}{n_1} + {\sqrt{\frac{\sigma _2^2}{n_2}}}}}[/tex]

[tex]z = \frac{2.3 - 2.35}{\sqrt{\frac{(0.02)^2}{55} + {\sqrt{\frac{(0.08)^2}{50}}}}}[/tex]

= -4.30

Hence, the test statistic is -4.30

Answer:

x ≤ 40

Step-by-step explanation:

x/-8 ≥−5

Multiply each side by -8, remembering to flip the inequality

x/-8 *-8 ≤−5 *-8

x ≤ 40

Answer:

x ≥ 40

Step-by-step explanation:

[tex]\frac{x}{-8} \geq -5[/tex]

x ≥ -5 * -8

x ≥ 40

Check

40 / -8 ≥ -5

Answer:

i think it is c. i may be incorrect, i am sorry!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the math

Answer:  

[tex]1)\quad f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]

2) D: x = [0, 24]

3) R: y = [0, 384]

4) see graph

Step-by-step explanation:

Eric's regular wage is $12 per hour for all hours less than 9 hours.

The minimum number of hours Eric can work each day is 0.

f(x) = 12x    for   0 ≤ x < 9

Eric's overtime wage is $18 per hour for 9 hours and greater.

The maximum number of hours Eric can work each day is 24 (because there are only 24 hours in a day).

f(x) = 18(x - 8) + 12(8)

    = 18x - 144 + 96

    = 18x - 48           for 9 ≤ x ≤ 24

The daily wage where x represents the number of hours worked can be displayed in function format as follows:

[tex]f(x)=\bigg\{\begin{array}{ll}12x&0\leq x <9\\18x-48&9\leq x \leq 24\end{array}[/tex]

2) Domain represents the x-values (number of hours Eric can work).

The minimum hours he can work in one day is 0 and the maximum he can work in one day is 24.

D:  0 ≤ x ≤ 24        →        D: x = [0, 24]

3) Range represents the y-values (wage Eric will earn).

Eric's wage depends on the number of hours he works. Use the Domain (given above) to find the wage.

The minimum hours he can work in one day is 0.

f(x) = 12x

f(0) = 12(0)

     =  0

The maximum hours he can work in one day is 24 (although unlikely, it is theoretically possible).

f(x) = 18x - 48

f(24) = 18(24) - 48

       = 432 - 48

       = 384

D:  0 ≤ y ≤ 384        →        D: x = [0, 384]

4) see graph.

Notice that there is an open dot at x = 9 for f(x) = 12x

and a closed dot at x = 9 for f(x) = 18x - 48

Answer:

The answer is

Step-by-step explanation:

(6)(-1)(-3)(10)(-2)

Multiply the terms in the bracket

That's

(6)(-1) = - 6

(-3)(10) = - 30

So we have

(-6)(-30)(-2)

= 180( - 2)

= - 360

Hope this helps you

Answer:

I'm not entirely sure what you are asking, could you comment on this answer the full question so I can edit this question to provide you an answer?

Answer: biosphere

Step-by-step explanation:

I am not sure what picture you are looking at but if it is 3 barbeque chicken legs in one image than this is your answer. The reason being that chickens can only be found on land and the land is considered part of the biosphere because bio = life

Answer:

It is a well formed formula

Step-by-step explanation:

1 - p,q,r are well formed formulas.

2 - [tex]p \ \lor \ q[/tex]  is a well formed formula as well.

3 - [tex]\neg r[/tex] is a well formula as well

4 - [tex](\ p \ \lor \ q) \ \land \ \neg r[/tex] is a well formula as well.

Answer:

d. 38

Step-by-step explanation:

AB = AD - BD = 54 - 36 = 18

AC = AB + BC = 18 + 20 = 38

Answer:

option: D

51200

Step-by-step explanation:

64000 x 80/100 = 51200

Answer:

Hi there!!!

your required answer is option D.

explanation see in picture.

I hope it will help you...

We have

[tex]\dfrac{1-i}{1+i}=\dfrac{e^{-i\frac\pi4}}{e^{i\frac\pi4}}=e^{-i\frac\pi2}[/tex]

which reduces to -i.

Answer:

m = 7; n = 12

Step-by-step explanation:

"a regular n-sided polygon has 5 sides more than a

regular m-sided polygon"

n = m + 5

The sum of the measures of the interior angles is

180(n - 2) for the n-sided polygon and

180(m  2) for the m-sided polygon.

"If the sum of interior angles of the regular

n-sided polygon is twice that of the latter"

180(n - 2) = 2(180)(m - 2)

We have a system of equations with 2 equations.

n = m + 5

180(n - 2) = 2(180)(m - 2)

Simplify the second equation:

n - 2 = 2m - 4

n + 2 = 2m

Substitute m + 5 for n.

m + 5 + 2 = 2m

7 = m

m = 7

n = m + 5 = 7 + 5 = 12

Answer: m = 7; n = 12

Answer:

59 accidents were investigated.

Step-by-step explanation:

The question above is a probability question that involves 2 elements: causes of accidents.

Let

A = Alcohol

E = Excessive speed

In the question, we are given the following information:

18 accidents involved Alcohol and Excessive speed =P(A ∩ E)

26 involved Alcohol = P(A)

12 accidents involved excessive speed but not alcohol = P( E ) Only

21 accidents involved neither alcohol nor excessive speed = neither A U B

We were given P(A) in the question. P(A Only) = P(A) - P(A ∩ E)

P(A Only) = 26 - 18

= 8

So, only 8 accident involved Alcohol but not excessive speed.

The Total number of Accidents investigated = P(A Only) + P( E only) + P(A ∩ E) + P( neither A U B)

= 8 + 12 + 18 + 21

= 59

Therefore, 59 accidents were investigated.

Answer:

18.97 units  

Step-by-step explanation:

Assume that the pool looks like the diagram below.

The pool consists of two equal right triangles.

We know that AB = CD = 3.16.

1. Find the length of the pool

AD = BC,  and we can use Pythagoras' Theorem to calculate AD.

  AB² + AD² = BD²

 3.16² + AD² = 7.07²

9.986 + AD² = 48.98

             AD² = 48.98 - 9.986 = 40.00

             AD   = 6.324

2. Find the perimeter of the pool

P = AB + BC + CD + DA =3.16 + 6.324 + 3.16 + 6.324 = 18.97

Alex will need 18.97 units of tile to surround the pool.

Alex will need 13.42 units of tile to surround his pool.

A coordinate plane with quadrilateral ABCD at A (0,3), B (2,4), C (4,0), and D (2,-1).

To find the units  of tiles that are needed to surround the pool ABCD with a single line of tiles  is equal to the perimeter of the rectangle

Perimeter of the rectangle = 2 length+2 width

In the figure, the width is given as 2.24 units and the diagonal is 5 units.

So we can find the length using the Pythagorean theorem, which is c²=a²+b².

Now, 5²=(2.24)²+b²

b=4.47 units

Now, the perimeter of the pool will be 2 (4.47)+2 (2.24)

= 8.94 + 4.48

The perimeter of the rectangle = 13.42 units

Thus, Alex will need 13.42 units of tile to surround his pool.

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Answer:

k = [tex]\frac{980a}{b}[/tex]

Step-by-step explanation:

Fisherman noticed a stretch in the spring = 'b' centimetres

Weight of the fish = a kilograms

If force applied on a spring scale makes a stretch in the spring then Hook's law for the force applied is,

F = kΔx

Where k = spring constant

Δx = stretch in the spring

F = weight applied

F = mg

Here 'm' = mass of the fish

g = gravitational constant

F = a(9.8)

  = 9.8a

Δx = b centimetres = 0.01b meters

Therefore, 9.8a = k(0.01b)

k = [tex]\frac{9.8a}{0.01b}[/tex]

k = [tex]\frac{980a}{b}[/tex]

Therefore, spring constant of the spring will be determined by the expression, k = [tex]\frac{980a}{b}[/tex]

Answer:

2x'2-3x-12

Step-by-step explanation:

(x-4) (2x+3)

2x'2 + 3x-6x-12

2x'2-3x-12

* this " '2 is squared

Answer:   If this helps plz mark as brainliest  

Step-by-step explanation:

(x−4)(2x+3)

=(x+−4)(2x+3)

=(x)(2x)+(x)(3)+(−4)(2x)+(−4)(3)

=2x2+3x−8x−12

=2x2−5x−12

Answer:

[tex]\boxed{y\leq 6}[/tex]

Step-by-step explanation:

[tex]y-8 \leq -2[/tex]

Adding 2 to both sides

[tex]y \leq -2+8[/tex]

[tex]y \leq 6[/tex]