Prove that A - B = A-(A n B) using a Venn diagram​

Answer:

[tex]a_n=-\frac{9}{4} +\frac{1}{4} *n; \ a_{45}=9.[/tex]

Step-by-step explanation:

1. the difference between two sequent term is: 2- 7/4=7/4 - 3/2 = 3/2 - 5/4=... = 1/4.

2. using the value of the calculated difference it is possible to make up the formula of the given sequence ('n' - the number of term):

[tex]a_n=-\frac{9}{4}+\frac{1}{4} n.[/tex]

3. for n=45:

[tex]a_{45}=-\frac{9}{4}+45*\frac{1}{4}=9.[/tex]

Answer:

x = 13

Step-by-step explanation:

→ Remember the amount of degrees a triangle sums to

180°

→ Make an equation

8x - 44 + 8x - 44 + 8x - 44 = 180

→ Simplify

24x - 132 = 180

→ Add 132 to both sides

24x = 312

→ Divide both sides by 24

x = 13

The slope of a function determines the consistency in the functions.

The slope of the function is the change in y /change in x .

The slope of the function determines the change in the value of the function. It determines the consistency of the function. If the slope of the function is changing rapidly then it is said to be inconsistent but if the slopes of the function is not changing rapidly then it is said to be consistent.

Learn more about slope at https://brainly.com/question/3493733

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Answer:

$65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Step-by-step explanation:

Since Country Day's scholarship fund receives a gift of $ 185000, and the money is invested in stocks, bonds, and CDs, and CDs pay 4.75% interest, bonds pay 3.3% interest, and stocks pay 7.5% interest, and Country day invests $ 20000 more in bonds than in CDs, if the annual income from the investments is $ 9560, to determine how much was invested in each vehicle, the following calculation must be performed:

55000 x 0.075 + 55000 x 0.0475 + 75000 x 0.033 = 9,212.5

57000 x 0.075 + 54000 x 0.0475 + 74000 x 0.033 = 9,282

65000 x 0.075 + 50000 x 0.0475 + 70000 x 0.033 = 9,560

Therefore, $ 65,000 was invested in stocks, $ 50,000 in CDs and $ 70,000 in bonds.

Answer:

9

Step-by-step explanation:

Question:

Minimum number of balls to ensure there is at least one ball of each colour marked with each number.

The quantity of distinct numbers are:

red: 4

Yellow 3

Blue 2

So the minimum number of balls to satisfy the given requirements is

4+3+2= 9

Answer:

[tex]\sec \upsilon = -\sqrt{5}[/tex]

Step-by-step explanation:

Given a point in rectangular form and by definition of trigonometric relations, we know that the secant associated to the vector is:

[tex]\sec \upsilon = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex] (1)

If we know that [tex]x = -3[/tex] and [tex]y = 6[/tex], then the secant of the vector is:

[tex]\sec \upsilon = \frac{\sqrt{(-3)^{2}+6^{2}}}{(-3)}[/tex]

[tex]\sec \upsilon = -\sqrt{5}[/tex]

Answer:

a

Step-by-step explanation:

just took the test

Answer:

"B"

Step-by-step explanation:

Answer:

663902.4

11 pavers

Step-by-step explanation:

V = l × w × h

V = 164 × 82 × 6.6

V =  

**********************************

The Swimming pool is a

rectangular prism. Write

the formula for its volume

and calculate it.

l...length of this prism

w...width of this prism

h...height of this prism

V ...volume

*********************************

To know how many

gallons are in the pool,

multiply the volume by

the number of gallons

in  gal...number of

gallons

********************************

gal = 88757 × 7.48

gal = 663902.4

********************************

First to not confuse

anybody on this, we need

to convert the meters into

centimeters.

Rule: 1 m = 100 cm

       3 m = 300 cm

       2.5 m = 250 cm

********************************

so for every meter, we

multiply 100 to get the

amount of centimeters

********************************

so then add the

centimeters of 3 m and

2.5 m

Answer: 550 cm

so then now compare

the measurings...

3 m = 300 cm

50cm × y = 300cm

50cm × 6 = 300cm

y = 6

2.5 m = 250 cm

50cm × y = 250cm

50cm × 5 = 250cm

y = 5

6 + 5 = 11 pavers

so Oliver will need 11 pavers

Answer:

Step-by-step explanation:

Given,

Length of the room = 12m

Width of the room = 5m

Therefore,

Area of the room = l × w

= 12m × 5m

= 60 sq.m (Ans)

Answer:

Step-by-step explanation:

25 200 giây

Answer:

15 inches

Step-by-step explanation:

The formula for the area of a rectangle is base times height so 3*5 which equals 15

Answer:

35.44

Step-by-step explanation:

(1 +.42)*468 = 664.56

if you add 35.44 you would have 700

Answer:

The length is 17 cm.

17+17+9+9 adds up to 52.

Answer:

x = 4      y = 7

Step-by-step explanation:

x + 3 = -1/2x + 9

x = -1/2x + 6

3/2x = 6

x = 4

y = (4) + 3

y = 7

Answer:

Value of x will be 12.

Step-by-step explanation:

Answer:

x = [tex]\frac{9}{80}[/tex]

Step-by-step explanation:

Given

x + [tex]\frac{9}{20}[/tex] = [tex]\frac{9}{16}[/tex]

Multiply through by 80 ( the LCM of 20 and 16 ) to clear the fractions

80x + 36 = 45 ( subtract 36 from both sides )

80x = 9 ( divide both sides by 80 )

x = [tex]\frac{9}{80}[/tex]

Answer:

[tex]39[/tex]

Step-by-step explanation:

[tex]A=lw[/tex]

Area = length * width

[tex]A = 3 * 13[/tex]

[tex]A=39[/tex]

Hope this helps

Check the picture below.  Notice, we're skipping the bottom part of it.

[tex]\begin{array}{llll} front&4\cdot 3&=&12\\ back&4\cdot 3&=&12\\ right&3\cdot 4&=&12\\ left&3\cdot 4&=&12\\ top&3\cdot 3&=&9\\ \cline{1-4} total&&&57 \end{array}[/tex]

Answer:

57.2°

Step-by-step explanation:

sin 26° = x/19

x = 8.329051789

[tex]sin^{-1}[/tex] (7 / 8.329051789)

Answer:

x = 75.7 cm

Step-by-step explanation:

sin = opp/hyp

sin63 = x/85

multiply both sides by 85

85 * sin63 = x

Use calculator

75.735554556011268 = x

Rounded

x = 75.7 cm

Answer:

1) find the verted of the parabols

[-b/2a, f(-b/2a)]

-32/-32 = 1  .... -16+32+6 = 22

2) take the derivative and set = to 0

-32t+32 = 0

t = 1 .....height = 22

Step-by-step explanation:

Answer:

[tex]V=2080m^3[/tex]

Step-by-step explanation:

The volume formula for triangular prism is  [tex]V=\frac{1}{2}bhl[/tex]

[tex]V=\frac{1}{2}(26)(20)(8)[/tex]

[tex]V=\frac{1}{2}(4160)[/tex]

[tex]V=2080[/tex]

Hope this helps

Answer:

The answer is 2080m^3

Step-by-step explanation:

The formula for volume of a prism is 1/2 x length x width x height

Hope it helps :)

Answer:

384 words per day

Step-by-step explanation:

If he already wrote 696 words out of 3,000 words, then he has another 2,304 words left to write. To know how many words he needs to write each day for the next 6 days, then we need to divide 2,304 words by 6. The quotient thus becomes 384 words.

Answer:

384 words per day

Step-by-step explanation:

3000-696=2304

So 2304 divided by 6 =348

Answer:

Espero te sirva saludos

Answer:

[tex]{ \tt{AB || CD}} \: \: they \: are \: parallel. \\ { \tt{AB \:and \: EF}} \: \: are \: perpendicular \\ { \tt{CD \: and \: EF}} \: \: are \: perpendicular \\ { \tt{GH \: is \: neither \: parallel \: nor \: perpendicular \: to \: any \: other \: line}}[/tex]

Answer:

y = [tex]\frac{1}{2}[/tex] x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{2}[/tex] and c = - 4 , then

y = [tex]\frac{1}{2}[/tex] x - 4 ← equation of line