Factor completely:

–abc –5ac –4ab –20a

The number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

We need to find the number of ways a four letter password can be made The first letter is fixed to be a vowel.

There are 10 vowels (5 of lowercase and 5 of upper case).

Thus, 10 ways of choosing the first letter.

Second letter can be any of the 52 letters(26 of lowercase and 26 of uppercase).

Similarly, third and fourth letter can be any of the 52 letters.

Thus, using the product rule, the number of ways of making the four letter password is:

[tex]N = 10 \times 52 \times 52 \times 52 = 1406080[/tex]

(the answer can be different if we consider only either lowercase letters or only upper case letters. In those cases, there would be [tex]5 \times 26^3 = 87880[/tex] ways to make such passwords).

We used product rule, since we wanted to do the choosing of all the four letters for password, and we knew the number of ways each of them can be done individually.

Thus,  the number of possibilities for Jane for making the four letter password (either upper case or lower case) with first letter being a vowel is 1406080

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Answer: $6322

114800.8806 - 108478.6929

= 6322.1877

Rounded to the nearest dollar = $6322

Answer:6761

Step-by-step explanation:

-10 and -8????

I believe because -10 + -8 = -18 and they are both consecutive

Hello!

Remember y=mx+b.

m is the slope and b is the y intercept.

So

the slope is 7 and the y intercept is 4.

Hope this helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SIlentNature[/tex]

Answer:

slope: 7

y-intercept:4

Step-by-step explanation:

Answer:

m is the slope of line and x1, y1= 2,5 , and x2, y2= -4, 5

m = 5-2/-4-5 = -1/3

Step-by-step explanation:

Answer:

if the units is in m/s

Step-by-step explanation:

first work out using this triangle.

distance= speed x by time

so if we're trying to find out the speed we reaarange the triangle to :

   distance

---------------------

speed x   time

so speed = distance divided by time

distance = 45cm

divided by time = 90 seconds

But the units are cm and should be metres per second

change 45cm to m

that is 45cm = 45/ 100 = 0.45

0.45/ 90= 0.005cm

answer = 0.005 metres per second( m/s)

plz say thanks + rate !

Answer:

The number of hours Jenny babysits

Step-by-step explanation:

Since we know that the 10 is the fixed fee for the babysitting services and 5 represents the amount charged per hour, it is safe to say x represents the number of hours Jenny babysits.

Ex.: Let us say she baby sits for 3 hours. 3 would take the place of the x

   5(3)+10. This means Jenny will charge the person she babysat for a total of  

   $15 just for the hours alone.

Hope this helps! :)

Answer:

x represent the number of hours Jenny Babysits

Step-by-step explanation:

since she charges $5 per hour, then X is always how many hours

Answer:

56

Step-by-step explanation:

Answer:

for example okk then you will try

Answer: (1) (2 – e2)3/2

Solution:

Given,

tan2θ = 1 – e2

sec θ + tan3θ cosec θ

= sec θ + (sin3θ/cos3θ) (1/sin θ)

= sec θ + tan2θ sec θ

= sec θ(1 + tan2θ)

= √(1 + tan2θ) (1 + tan2θ)

= (1 + tan2θ)3/2

= (1 + 1 – e2)3/2

= (2 – e2)3/2

Answer:

6561 x 19683

Step-by-step explanation:

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

Answer:

-251

Step-by-step explanation:

Following BEDMAS/PEMDAS

6*2/(-1)4*5-(8+3); first simplify the brackets/parenthesis

= 6*2/(-1)4*5-11; now do divisons and multiplications going from left to right

= 12/(-1)4*5-11 = -12*4*5-11 = -48*5-11 = -240-11

= -251

Answer:

17 pages

Step-by-step explanation:

Let L = number of pages printed Larger type

S = number of pages printed smaller type

 the article is allow 21 full pages in a magazine. -->L + S = 21

1,800L + 2, 400S = 48, 000 (we can divide 100 to make the math easier)

18L + 24S = 480

Solve:

L + S = 21

18L + 24S = 480

we can use elimination by eliminating 18L so we can isolate the value of S  

-18 (L + S = 21)

18L + 24S = 480

-18L - 18S = 378

18L + 24S = 480

6S = 102

S = 17

Answer:

see below

Step-by-step explanation:

You're doing well!  The parts of the table you've done are correct.

For x = 1, you switch to the second part of the function rule (because that part says to use it if [tex]x \ge 1[/tex].

x =1 :   6 - 2(1) = 4   (1, 4)

x = 2:  6 - 2(2) = 2   (2, 2)

x = 3:  6 - 2(3) = 0   (3, 0)

x = 4:  6 - 2(4) = -2  (4, -2)

Each of the parts of the function rule graph as pieces of straight lines.  The first part will be a straight line through points (-4, 1), (-3, 0), (-2, 1), (0, 3) but that part of the graph stops at point (1, 4).  Point (1, 4) is on BOTH parts of the graph, so the two lines connect at that point.

Answer:

Step-by-step explanation:

Answer:

1.

1.5 litre carton for $2.35 is the cheapest way since it's the cheapest out of all the other options.

2.

a. 1.25 / 0.5 = $2.50 per L

2.35 / 1.5 = $1.57 per L

3.25 / 2 = $1.63 per L

b. 2.50 x 8 = $20.00 per 8 L

1.57 x 8 = $12.56 per 8 L

1.63 x 8 = $13.04 per 8 L

Step-by-step explanation:

find unit rate (cost / quantity)

Answer:

The leading term is 2x^7. Since n is odd and a is positive, the end behavior is down and up.

Answer:

b

Step-by-step explanation:

cut it in half, boom equal

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

We will use the LHS to find the RHS.

Step 1: Expand the LHS by multiplying through the brackets and simplify

(sinx + cosx)(1 − sinx cosx) ≡  sinx + cosx - (sinx + cosx (sinx cosx))

                                             ≡  sinx + cosx - sin²x cosx - sinx cos²x

Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation

                                           ≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)

Step 3: Simplify the equation by adding like terms

                                           ≡ sinx + cosx - cosx + cos³x - sinx + sin³x

                                           ≡ sin³x + cos³x                 [QED]

Reminder:

Hi there! :)

A geometric sequence is a sequence where we use multiplication or division to get to the next term.

We use multiplication in the third sequence (we multiply by -5)

So the answer is Option C

Hope it helps

~Just a gloomy teen who misses her best friend

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

y = -7x + 3/11

Step-by-step explanation:

Answer:

28.05

Step-by-step explanation:

Option D is correct, the value of the rational expression when x = –3 is undefined.

An expression is combination of variables, numbers and operators.

The given expression is x/x²-9

x divided by x square minus nine.

Now let us find the value of the expression when x is minus three,

Plug in x as -3 in the above expression.

-3/(-3)²-9

-3/9-9

-3/0

Anything divided by zero then the value is undefined.

Hence, Option D is correct, the value of the rational expression when x = –3 is undefined.

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What is the value of the rational expression x/x2-9 when x = –3?

A. -1/12

B. 0

C. 1/6

D. Undefined

Answer:

11 Julie's and 5 East Indians

Answer:

5:7

Step-by-step explanation:

Answer:

-3 is less and -5 is greater

Step-by-step explanation:

Answer:

less than

Step-by-step explanation:

because -5 would be less than -3 because it is bigger

Answer:

skew

skew

parallel

parallel

Step-by-step explanation:

First see the below figure to understand parallel and skew lines

As you can see parallel lines lie on the same plane

skew lines lie on different plane and do not intersect

1)AB and GF

AB lies on ABCD plane

GF lies on EFGH plane

and they will never meet / intersect

so skew

2)DH and BF

DH lies on ADHE plane

BF lies on BCGF plane

they seem parallel but they are on different plane, so skew

3)EF and HG

EF and HG both lie on the same plane EFGH

and they both are parallel

4)for this see the second picture

both these planes are parallel

Hope this helps!

Answer:

  33. $5.75

  34. 15 ft

  35. 8

  36. 32

Step-by-step explanation:

These questions pretty much cover the sorts of things you're supposed to learn in an Algebra course. If you don't get any of it, you may have a problem with follow-on courses.

__

You are expected to understand this question gives you two relations in two unknowns. The first step is to assign a variable to each of the unknowns. We can use ...

The given relations have to do with the prices of different quantities of these:

  2x +3y = 26.25 . . . . . . cost of 2 shakes and 3 sundaes

  4x +2y = 29.50 . . . . . . cost of 4 shakes and 2 sundaes

These two equations in two unknowns can be solved several ways. Here, it is convenient to use the method of "elimination", because the coefficients of x are related by a small integer. Subtracting the second equation from 2 times the first eliminates the x-variable (hence the name of the method).

  2(2x +3y) -(4x +2y) = 2(26.25) -(29.50)

  4y = 23.00 . . . . . . simplify

  y = 5.75 . . . . . . . . . divide both sides by 4

The cost of an ice cream sundae is $5.75.

We can substitute this value into either equation and solve for x. We would find the cost of a shake to be x=4.50. However, the question only asks for the price of a sundae.

__

There are formulas for the perimeter, area, and volume of various geometric figures of a generally circular or rectangular shape. You might find it convenient to memorize them. Here, you need the formulas for the volume of a cylinder and of a cone. You also need to know that the diameter of a circle is 2 times the radius of the circle, since most of the circle-related formulas are in terms of the radius.

Volume of a cone of radius r and height h: V = 1/3πr²h

Volume of a cylinder of radius r and height h: V = πr²h

It can be convenient to remember that a cone has 1/3 the volume of a cylinder the same height.

The relation of interest here is the volume of the silo is the sum of the volumes of the bottom cylinder and the top cone.

  V = π(20 ft)²(60 ft) + 1/3(20 ft)²(x ft) = 26000π ft³

  V = 24000π ft³ +(400/3)x·π ft³ = 26000π ft³ . . . . simplify a bit

  400/3·x = 2000 . . . . . . . divide by π ft³, and subtract 24000

  x = 2000(3/400) = 15 . . . . multiply by 3/400

The height of the top portion is 15 feet.

__

This has to do with understanding the meaning of a table and of an expression relating table values. The expression f(a) = g(b) means you're looking for table entries such that the number in the f(x) column is equal to the number in the g(x) column.

We find the only common function value to be -1, so f(-6) = -1 = g(1). Comparing this to f(a) = g(b), we see that a=-6.

The question asks for |g(a)|. The table tells us g(-6) = -8. Its absolute value will be the value without the negative sign:

  |g(-6)| = |-8| = 8 = |g(a)|

__

This is a polynomial division problem. It tells you the quotient of the quadratic, divided by (ax +2), is (3x -4) with a remainder of 66. We're concerned with the leading coefficient of the divisor, 'a'.

Polynomial long division is much simpler than numerical long division, because each quotient term is the leading dividend term divided by the leading divisor term. Here, that means ...

  96x²/(ax) = 3x

Multiplying by ax gives ...

  96x² = 3ax²

Dividing by 3x², we see that ...

  (96x²)/(3x²) = (3ax²)/(3x²)

  96/3 = a = 32

The value of 'a' is 32.

Answer:

Step-by-step explanation:

Given table:

Use two pairs of points to work out the equation of the line y = mx + b:

Find the slope:

Use one pair to find the y-intercept:

The line is:

m = (-9 - 3)/(2 + 2) = -12/4 = -3 ==> (x)

3 = (-3)•(-2) + b

3 = 3•2 + b

3 = 6 + b

b = -3 ==> (a)

Soo :

Answer:

it says 6 points not 12 points

Step-by-step explanation:

Answer:

Step-by-step explanation:

The graph of equation is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is,

⇒ y = 6/5x - 2

Now,

Since, The equation of line is,

⇒ y = 6/5x - 2

Clearly, The slope = 6/5

And, The y - intercept = - 2

Thus, The graph of equation is shown in figure.

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