Complete the equation involving x. Order terms like the physical situation, and don't simplify. A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?

Answer:

a) H,N,K and I.

b) The line p.

c) The line r.

d) The line q can be also named putting the symbol '' ↔ '' over the capital letters JL, JK or KL.

e) The point N.

Step-by-step explanation:

Let's study each item in order to answer the question :

a) Four collinear points :

We know that two or more points are called ''collinear points'' wherever they belong to the same line.

In the diagram, the only line that contains four points which have name is the line r. The four points are H,N,K and I.

b) A line that contains point M :

In this case, the only line that contains to the point M is the line p because the point M is situated over the line p.

c) A line that contains points H and K :

The only line that contains both points is the line r because the points H and K are situated over the line r.

d) Another name for line q :

Another way to name any line is putting the symbol ''↔'' over a pair of points that are situated over the line (Let's remember that we write the points with capital letters).

One possible name for the line q can be written putting ''↔'' over JL.

The other two names can be written putting ''↔'' over the capital letters JK or KL.

e) The intersection of lines p and r :

There are three cases of intersection between lines :

1 - The case in which the lines don't intersect at any point at all.

2 - The case in which the lines intersect at one point.

3 - The case in which the lines intersect at infinite points (for this case, the lines are parallel and there are superimposed).

In this case, the intersection of the lines p and r is the point N (which belongs to both lines).

Answer:

C=0,10E+5

Step-by-step explanation:

De acuerdo a la información dada, la expresión debe indicar que el costo mensual "C" es igual al resultado de multiplicar la energía "E" consumida por el precio de cada kilowatt-hora y a esto se le debe sumar la tarifa por mes. De acuerdo a esto, el costo mensual se debe expresar de la siguiente forma:

C=0,10E+5

Answer:

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} bh[/tex]

where

b is the base

h is the height

From the question

Area = 21 m²

The statement

The height of a triangle is 8 m more than the length of the base is written as

h = 8 + b

Make b the subject

That's

b = h - 8

Substitute the expression into the above formula and solve for the height

That's

[tex]21 = \frac{1}{2} (h - 8)h[/tex]

Multiply through by 2

h² - 8h = 48

h² - 8h - 48 = 0

(h + 4)(h - 12) = 0

h + 4 = 0 h - 12 = 0

h = - 4 h = 12

Since the height cannot be a negative number we have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

where

n is the number of terms

From the question since we are finding the 5th term

n = 5

Substitute the value into the above formula and solve

We have

[tex]b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} [/tex]

We have the final answer as

Hope this helps you

Answer:

Option C

Step-by-step explanation:

The distributive property states that:

[tex]a(b+c)=ab+ac[/tex]

You have to multiply 'b' and 'c' by 'a' to completely distribute.

Example using Distributive Property:

[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]

Hope this helps.

Answer:

I'm pretty sure its C.

Step-by-step explanation:

cause a would be distributed into b and c. so

a(b+c)

ab +ac

which will then become ab+ac

im bad at explaining sorry

Answer:

-5/4

Step-by-step explanation:

the slope is the variable in front of x

y = mx + b

m = slope

b = y-int

Answer:

-5/4

Step-by-step explanation:

using slope intercept form, the slope is -5/4

m= -5/4

Answer:

The joint probability distribution of X and Y is shown below.

Step-by-step explanation:

The distributions of X and of Y are described as follows:

    X :    0           1

P (X) : 0.23      0.77

     Y :    1            2          3

P (Y) : 0.40     0.22     0.38

It is provided that X and Y are independent.

That is:

P (X ∩ Y) = P (X) × P (Y)

Compute the joint probability distribution of X and Y as follows:

[tex]P(X=0,Y=1)=P(X=0)\times P(Y=1)=0.23\times 0.40=0.92\\\\P(X=0,Y=2)=P(X=0)\times P(Y=2)=0.23\times 0.22=0.0506\\\\P(X=0,Y=3)=P(X=0)\times P(Y=3)=0.23\times 0.38=0.0874\\\\P(X=1,Y=1)=P(X=1)\times P(Y=1)=0.77\times 0.40=0.308\\\\P(X=1,Y=2)=P(X=1)\times P(Y=2)=0.77\times 0.22=0.1694\\\\P(X=1,Y=3)=P(X=1)\times P(Y=3)=0.77\times 0.38=0.2926[/tex]

      X       0                  1

Y                                              

1           0.9200        0.3080

2          0.0506        0.1694

3          0.0874         0.2926

Answer:

Step-by-step explanation:

(9x-1)^-1/2 - (x+2)(9x-1)^-1/2

= (9x-1)^-1/2( 1 - (x + 2))

= (9x-1)^-1/2(-1 - x)

= -(x + 1)(9x-1)^-1/2

= -(x + 1) / (9x-1)^1/2

Answer:

1440 combinations ways

Step-by-step explanation:

We know that the total arrangements will be

6!= 720 because its a 6letter word

So if we take MI to be a one letter word

Same for IM

which will Also be 6!= 720

SO TOTAL possible combination will be 720+720= 1440

Answer:

1440 ways

Step-by-step explanation:

First, we must consider how many letters are in the word "minutes"

7.

This means that the word "minutes" can be arranged in 7! ways, or simply put in 5040 ways.

But then, we're interested in how many ways it can be arranged with I and M besides each other.

In how many ways can the word be arranged with the letters "MI" together

We would have, "MI, N, U, T, E, S" which happens to be 6!, or say 720 ways.

In how many ways can the word be arranged with the letters "IM" together

We would have, "IM, N, U, T, E, S"

which happens to be 6! or again, 720 ways.

Then, the number of ways it can be arranged with "IM" or "MI" together is

720 + 720, and therefore 1440 ways

Answer:

39 meters

Step-by-step explanation:

We know the bottom distance  ( 20-13) = 7

And we know the height 15-0 =15

We can use the Pythagorean theorem to find the hypotenuse

a^2 + b^2 = c^2

7^2 + 15^2 = c^2

49+225 = c^2

274 = c^2

Taking the square root of each side

sqrt(274) = c

We want the perimeter

a+b+c

7+15+sqrt(274)

22+sqrt(274)

22+16.55294536

38.55294536

Rounding to the nearest meter

39 meters

Answer:

[tex]\huge \boxed{\mathrm{39 \ meters}}[/tex]

Step-by-step explanation:

The perimeter of the right triangle is required.

The base of the triangle is 7 units.

The height of the triangle is 15 units.

The hypotenuse can be found through Pythagorean theorem.

a² + b² = c²

7² + 15² = c²

49 + 225 = c²

274 = c²

c = [tex]\sqrt{274}[/tex]

Adding all the three sides of the right triangle to get the perimeter.

P = a + b + c

P = 7 + 15 + [tex]\sqrt{274}[/tex]

P = 38.552945...

The perimeter of the right triangle is 39 meters rounded to nearest meter.

Answer:

w = 48

w = 196

Step-by-step explanation:

Width = w

Length = l = 4 + 4w

Use the values for length and width above along with the given value for perimeter in the formula for perimeter.

P = 2l + 2w

488 = 2(4 + 4w) + 2w

488 = 8 + 8w + 2w

488 = 8 + 10w

488 - 8 = (8 + 10w) - 8

480 = 10w

(480)/10 = (10w)/10

48 = w

w = 48

The width is 48 yards.  Use this value to solve for length.

l = 4 + 4w

l = 4 + 4(48)

l = 4 + 192

l = 196

The length is 196 yards.

Answer:

55,200

Step-by-step explanation:

The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.

Multiply the pay per period by the number or pay periods

=2,300x24

=55,200

Answer:

Step-by-step explanation:

Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where  20< x.

If 20< x

reciprocating both sides will change the sense of the inequality

1/20>1/x

cross multiply

x > 20

This means that the values of x are values grater than 20.

The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.

Answer:

10.2% chance

Step-by-step explanation:

There are 12 peaches and 8 bananas for a total of 20 pieces of fruit.

So we can write it:

[tex]\frac{12}{20} * \frac{11}{19} * \frac{10}{18} * \frac{9}{17}[/tex] =  [tex]\frac{11880}{116,280}[/tex] = .102 or 10.2% chance

For ease multiply all numerators (top numbers) together, then multiply the denominators (bottom numbers) together, and then divide.

12 * 11 * 10 * 9 = 11880

20 * 19 * 18 * 17 = 116,280

We start with 12 peaches and 20 total fruit, as we select a peach the number of peaches and total fruit goes down by one. We do this 4 times because you draw 4 fruits. If you select 1 fruit your chances of it being a peach are 12/20, each time you select a fruit the chances of it being a peach go down because you have 1 less total fruit, and 1 less peach. This is why you multiply each probability together.

Answer:

Option (2)

Step-by-step explanation:

To solve this question we will use the property of tangents drawn to a circle.

"Tangents drawn from an external point to a circle are equal in length"

From the figure attached,

In ΔDEF,

DA = DC = 14 units [Equal tangents]

EA = EB = 13.7 units [Equal tangents]

FB = FC = 9 units [Equal tangents]

Therefore, DE = DA + AE = 14 + 13.7 = 27.7 units

EF = EB + BF = 13.7 + 9 = 22.7 units

DF = DC + FC = 14 + 9 = 23 units

Perimeter of ΔDEF = DE + EF + DF

                               = 27.7 + 22.7 + 23

                               = 73.4 units                            

Option (2) will be the answer.

Answer:73.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]14n+21\\\mathrm{Rewrite\:}21\mathrm{\:as\:}7\times\:3\\\mathrm{Rewrite\:}14\mathrm{\:as\:}7\times\:2\\\\=7\times\:2n+7\times\:3\\\\\mathrm{Factor\:out\:common\:term\:}7\\=7\left(2n+3\right)[/tex]

Answer:

30 cents per week

Step-by-step explanation:

The average is the sum of the numbers divided by how many there are.

60 + 10 + 20 = 90

90/3 = 30

Answer:

-30 per cents week !

Step-by-step explanation:

Answer:

Hey there!

The equation would be y=-1/2x-3.5

Hope this helps :)

Answer:

1. The mean of the data summarized in the given frequency distribution is 51.81 degrees

2. Comparing the computed mean (51.81 degrees) to the actual mean(56.6) degrees, the computed mean is lesser than the actual mean.

Step-by-step explanation:

1) We are given a Frequency distribution.

Mean of a frequency distribution = Fx/F

Where

Fx = Frequency × midpoint

Low Temperature ​(◦​F) Frequency

40−44 2

45−49 7

50−54 9

55−59 6

60−64 2

F =Total Frequency

= 2 + 7 + 9 + 6 + 2

= 26

a)For low temperature 40 - 44

Frequency = 2

Midpoint (x) = 40 +44/2 = 42

Fx =42 × 2 = 84

b) For low temperature 45 - 49

Frequency = 2

Midpoint (x) = 45+49/2 = 47

Fx =47 × 7 = 329

For low temperature 50 - 54

Frequency = 2

Midpoint (x) = 50 + 54/2 = 52

Fx =52 × 9 = 468

For low temperature 55 - 59

Frequency = 6

Midpoint (x) = 55 + 59/2 = 57

Fx =57 × 6 = 342

For low temperature 60 - 64

Frequency = 2

Midpoint (x) = 60 +64/2 = 62

Fx =62 × 2 = 124

Total Fx =84 + 329 + 468 + 342 + 124

= 1347

Mean =Total Fx/ Total Frequency

= 1347/26

= 51.807692308

Approximately = 51.81 degrees

Therefore, mean of the data summarized in the given frequency distribution is 51.81 degrees

2. Comparing the computed mean (51.81 degrees) to the actual mean(56.6) degrees, the computed mean is lesser than the actual mean.

Answer:

x = 1/2 ; x = -3

Step-by-step explanation:

To solve this problem, we first need the quadratic to be set equal to x.  Then, we can use factoring to solve for the values of x.

2x^2 + 5x = 3

2x^2 + 5x + -3 = 3 + -3

2x^2 + 5x + -3 = 0

Note that the first term's coefficient is 2.  This factors into 1 and 2.

Note that the third term's coefficient is -3.  This factors into 3 and -1.

From here, we will simply create the binomial factors for the quadratic.

(2x - 1) (x + 3) = 0

2x - 1 = 0  ;  x + 3 = 0

2x - 1 + 1 = 0 + 1  ;  x + 3 + -3 = 0 + -3

2x = 1  ;  x = -3

2x * 1/2 = 1 * 1/2  ;  x = -3

x = 1/2  ;  x = -3

So our solutions for this quadratic equation are x = 1/2 or x = -3.

Cheers.

Solution:

2x²+5x=3

Using Factorisation method,

2x²+5x-3=0

2x²+6x-x-3=0

2x(x+3)-1(x+3)=0

(2x-1)(x+3)=0

2x-1=0 and x+3=0

x=1/2 and x=-3

Answer:

[tex]\Huge \boxed{y=\frac{3}{4} x+1}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can find the slope through two points.

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

m = (4 - -5)/(4 - -8)

m = 9/12 = 3/4

The slope of the line is 3/4.

Slope-intercept form of a line is y=mx+b. Where m is the slope and b is the y-intercept.

y = 3/4x + b

A point on the line is (4, 4). x = 4 and y =4.

4 = 3/4(4) + b

4 = 3 + b

b = 1

The y-intercept is 1.

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\huge\boxed{y = \frac{3}{4}x+1}[/tex]

Step-by-step explanation:

Finding the slope (m) first:

Given the coordinates (-8 , -5) and ( 4 , 4 )

Slope = [tex]\sf \frac{Rise}{Run}[/tex]

Slope = [tex]\sf \frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{4 + 8}{4+5}[/tex]

Slope = [tex]\frac{12}{9}[/tex]

Slope = m = [tex]\frac{3}{4}[/tex]

Finding y - intercept (b) :

Taking a coordinate say (4,4)

And putting it in slope intercept form along with b

y = mx+b

Where y = 4 , m = 3/4 and x = 4

4 = (3/4)(4) + b

4 = 3+b

4-3 = b

1 = b

So,

b = 1

Putting m and b now in slope-intercept equation:

y = mx+b

[tex]y = \frac{3}{4}x+1[/tex]

Answer:

Option (4)

Step-by-step explanation:

D = {x| x is a whole number}

D = {1, 2, 3, 4..........}

E = {x | x is a perfect square between 1 and 9}

E = {4}

F = {x | x is an even number greater than 2 and less than 9}

F = {2, 4, 6, 8}

(E ∩ F) = Set of common numbers of E and F

           = {4}

D ∩ (E ∩ F} = Set of common numbers in the sets of D and (E ∩ F)

                   = {4}

Therefore, Option (4) will be the answer.

Answer:

5x+2.25v=c

Step-by-step explanation:

$5 member fee and 2.25per video add then mutiply

Step-by-step explanation:

multiple height by width

Answer:

Area of a square: side × side

Area of a circle: π[tex]r^{2}[/tex]  

Area of a triangle: [tex]\frac{1}{2}bh[/tex] (1/2 × base × height)

Answer:

(-(7 x + 272))/4

Step-by-step explanation:

Simplify the following:

x/2 - (2 + 1/4) x - 70 - ( - 2)

Hint: | Put the fractions in 2 + 1/4 over a common denominator.

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

x/2 - 9/4 x - 70 - ( - 2)

Hint: | Multiply 4 and 2 together.

4×2 = 8:

x/2 - (1/48 + 1/4) x - 70 - ( - 2)

Hint: | Add the fractions over a common denominator to a single fraction.

8/4 + 1/4 = (8 + 1)/4:

x/2 - 9/4 x - 70 - ( - 2)

Hint: | Evaluate 8 + 1.

8 + 1 = 9:

x/2 - 9 x/4 - 70 - ( - 2)

Hint: | Multiply -1 and -2 together.

-(-2) = 2:

x/2 - (9 x)/4 - 70 + 2

Hint: | Put the fractions in x/2 - (9 x)/4 - 70 + 2 over a common denominator.

Put each term in x/2 - (9 x)/4 - 70 + 2 over the common denominator 4: x/2 - (9 x)/4 - 70 + 2 = (2 x)/4 - (9 x)/4 - 280/4 + 8/4:

(2 x)/4 - (9 x)/4 - 280/4 + 8/4

Hint: | Combine (2 x)/4 - (9 x)/4 - 280/4 + 8/4 into a single fraction.

(2 x)/4 - (9 x)/4 - 280/4 + 8/4 = (2 x - 9 x - 280 + 8)/4:

(2 x - 9 x - 280 + 8)/4

Hint: | Group like terms in 2 x - 9 x - 280 + 8.

Grouping like terms, 2 x - 9 x - 280 + 8 = (2 x - 9 x) + (8 - 280):

((2 x - 9 x) + (8 - 280))/4

Hint: | Combine like terms in 2 x - 9 x.

2 x - 9 x = -7 x:

(-7 x + (8 - 280))/4

Hint: | Evaluate 8 - 280.

8 - 280 = -272:

(-272 - 7 x)/4

Hint: | Factor a minus sign out of -7 x - 272.

Factor -1 out of -7 x - 272:

Answer: (-(7 x + 272))/4

1/2 x + (-70) - 2 1/4 x - (-2) = (-(7 x + 272))/4 = True

Answer:

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Step-by-step explanation:

Solve by Elimination

[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}[/tex]

[tex]\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}[/tex]

[tex]-3y=-22[/tex]

Divide -3 on both sides

[tex]y=\frac{22}{3}[/tex]

[tex]x+2\cdot \frac{22}{3}=33[/tex]

[tex]\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}[/tex]

[tex]x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}[/tex]

[tex]x=\frac{55}{3}[/tex]

[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]

Answer:

26+a

Step-by-step explanation:

(12+a)+14

(12+14)+a

26+a

Answer: 99

Step-by-step explanation:

factor of 99: 1, 3, 9, 11, 33, 99

This is 6 factors, and they are all odd number

Hope this helps!! :)

Please let me know if you have any question

Answer:

The tails on a normal distribution go on forever and never touch the​ x-axis

Step-by-step explanation:

The normal distribution is also known as Gaussian distribution or bell shaped curve. The normal distribution is divided into two equal parts by the mean hence it is symmetrical at the mean. For a normal distribution, the height of the curve is determined by the mean while the width is determined by the standard deviation.

The two tails at both ends of the normal curve goes on and never touches the horizontal axis.

Answer:

She have 345$ in her account.

Step-by-step explanation:

Given that,

Ellen has $75 in her savings account she deposits 25 every week her father also deposit 35 into the account every time Ellen most salon

Suppose, her savings account balance can be shown with the following expression:

75 + 25w + 35m

If Ellen saves for 8 weeks and most the salon 2 times, how much will she have in her account.

We know that,

When the numbers appear with variables it called coefficients.

When the numbers appear without variables it called constant.

Alphabets in an expression are called variables.

According to question,

25 and 35 are the coefficients and the number 75 appear without variables.

We need to calculate the balance in her account

Using expression

[tex] 75 + 25w + 35m [/tex]

Put the value in the expression

[tex]75+25\times8+35\times2[/tex]

[tex]=345$[/tex]

Hence, She have 345$ in her account.