Help please!! I’m stuck with these questions. :)

Help Please!! Im Stuck With These Questions. :)

Answers

Answer 1

Answer:

20 elements.

Step-by-step explanation:

Lets say

n(U) = 114

n(A) = 57

n(B) = 79

n(A n B)= 42

Now,

n(A U B) = n(A) + n(B) - n(A n B)

= 57 + 79 - 42

= 94

Now,

n(A U B) compliment = n(U) - n(A U B)

= 114 - 94

= 20


Related Questions

(2-z)/z=((2-z)( ? ))/(z^2+z)
what is this? please

Answers

Answer:

The answer for "?" is z+1.

Step-by-step explanation: In order to solve this I recommend comparing the two equations and expanding them as much as possible, like so.

[tex](\frac{2-z}{z} =\frac{(2-z)(?)}{z^2+z} )=(\frac{2-z}{z} =\frac{(2-z)(?)}{z(z+1)} )[/tex]

Once you have the equations expanded to their maximum you can see what was added to the right side of the equation and what you need to add to the numerator in this case to make the two equations equal.

[tex](\frac{2-z}{z} =\frac{(2-z)(z+1)}{z(z+1)} )[/tex]

*Note: You can also check the solution by plugging in a number for z and checking to see that both side equal. For example if z = 3.

[tex]\\\frac{2-3}{3} =-\frac{1}{3} \\\frac{(2-3)(3+1)}{3^2+3} =-\frac{1}{3}[/tex]

So, z+1 is the answer.

A patient takes 75mg of a medication every 12 hours; 60% of the medication in the blood is eliminated every 12 hours. (a) Let dn equal the amount of medication (in mg) in the bloodstream after n doses, where d1 = 75. Find a recurrence relation for dn.

Answers

The recurrence relation is dn = 0.4d(n-1) where d1 = 75

How to determine the recurrence relation?

The given parameters are:

Initial, d1 = 75Rate of elimination, r = 60%

Since, the medication is eliminated from the blood; then it means that the function is an exponential decay function.

This is represented as:

d(n) = d(n - 1) * (1 - r)

Substitute r = 60%

d(n) = d(n - 1) * (1 - 60%)

Evaluate the difference

d(n) = d(n - 1) * 0.4

Evaluate the product

dn = 0.4d(n-1)

Hence, the recurrence relation is dn = 0.4d(n-1) where d1 = 75

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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex] \texttt{ \:The absolute maxima of f is f(-8) = 6} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Absolute maxima is the maximum possible value for a given x, of a function.

and here, the maximum value is at -8, and the maximum value is 6.

[tex]\qquad \tt \rightarrow \: maximum - \: \: f( - 8) = 6[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Quadrilateral ABCD is inscribed in this circle. What is the measure of angle C?

Answers

Answer:

[tex]\boxed{\bf \angle \: C = 62^{o} }[/tex]

Step-by-step explanation:

The sum of the opposite angle of cyclic quadrilateral is 180°.

First, lets find x...

[tex]\bf \angle \: B + \angle \: D = {180}^{o} [/tex][tex]\bf (x + 20) + 3x = {180}^{o} [/tex][tex]\bf 4x + 20 = 180[/tex][tex]\bf 4x = 180 - 20[/tex][tex]\boxed{\bf x = {40}^{o}} [/tex]

Now, let's find the measure of angle C....

[tex]\bf \angle \: a + \angle \: C = {180}^{o} [/tex][tex]\bf 2x + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf 2(40) + 38 + \angle \: C = {180}^{o} [/tex][tex]\bf \angle \: C = 180 - 80 - 38[/tex][tex]\boxed{\bf \angle \: C = {62}^{o}}[/tex]

________________________

A farmer has 250 ft of fencing and wants to enclose a rectangular area of 3750 ft². What dimensions should she use?


The length of the longer side of the fence is:

The length of the shorter side of the fence is:

Answers

Answer:

Longer side is 75 feet, shorter side is 50 feet.

Step-by-step explanation:

Let l be the length of the longer side and w be the length of the shorter side.

2l + 2w = 250, which simplifies to

l + w = 125. Solving for w, we have

w = 125 - l.

lw = l(125-l) = 3750

[tex] {l}^{2} - 125l - 3750 = 0[/tex]

[tex]( l - 50)(l - 75) = 0[/tex]

l = 75, w = 50

Longer 75 , shorter 50


[tex]4x {}^{2} + 20x + 25[/tex]
using appropriate identity factories the following​

Answers

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's Solve ~

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 20x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 4 {x}^{2} + 10x + 10x + 25[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x(2x + 5) + 5(2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) (2x + 5)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (2x + 5) {}^{2} [/tex]

or

[tex] \sf{\qquad \sf  \dashrightarrow \: 4x² + 20x + 25 } [/tex]

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x)² + (2 \sdot 2x \sdot 5) + (5)²} [/tex]

[ it's similar to expression - a² + 2ab + b² that is equal to (a + b)² ]

so, let's use this identity here to factorise :

[tex] \sf{\qquad \sf  \dashrightarrow \: (2x + 5)²} [/tex]

I hope it was helpful ~

solve the system of equations for one of the variables x+4y=5 x-4y=5

Answers

Answer:

x=5 y=0

Step-by-step explanation:

cancel out the 4y's and then add the x's together. also add the 5s together. 2x = 10, x = 5, and plug it in, and 5 cancels out, leaving y by itself.

How much extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm?

Answers

The amount of the extra snow would a child need to take a snowball will be 636.71 cubic cm.

What is the volume of the sphere?

Let d be the diameter of the sphere.

Then the volume of the sphere will be

V = 1/6 πd³ cubic units

Then the amount of the extra snow would a child need to take a snowball with a diameter of 8 cm and increase its size to a snowball with a diameter of 12 cm will be

Amount of snow = 1/6 π x 12³ - 1/6 π x 8³

Amount of snow = 288 π - 85.33π

Amount of snow = 636.71 cubic cm

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Suppose the equilibrium wage for unskilled workers in New Jersey is $16 per hour. How will the wages and employment of unskilled
workers in New Jersey change if the state legislature raises the minimum wage from $8.85 per hour to $15 per hour?

Wages of unskilled workers will increase/decrease/or not change?


Employment of unskilled workers will increase/decrease/or not change?

Answers

Answer:

it will increase the production

Step-by-step explanation:

8.6 - 4 x 2 + 3/10 please i need this answer

Answers

Answer:

0.9

Step-by-step explanation:

in a sale, the cost of a coat is reduced from 85 to 67.5

Answers

Answer:

I’m assuming you’re talking about what percentage was taken off, so in that case the answer would be approximately 20.6%

Step-by-step explanation:
67.5/85 X/100

cross multiply then divide by 100 to find for x and you get 79.4117

then, subtract this number from 100 and you will get 20.6%

how much 45 in hour how do​

Answers

Answer:

45 minutes in an hour is also called three-quarters of a hour.

Step-by-step explanation:

If you are talking about money, then here is the answer.

Yearly (262 Work Days)=$94,320

Is $45 an hour good pay?

In short, yes! Forty-five dollars an hour is a great wage. It's above the median income in the United States and can provide you with a comfortable lifestyle. If you're looking to make more money, there are plenty of career choices that will have you on your way to making $45 an hour in no time.

For which value(s) of xwill the rational expression below equal zero? Check
all that apply.

(x - 3)(x + 6)/x +7

A. -6
B. -7
C. 7
D. 3
E. 6
F. -3

Answers

Answer:

A. -6

D. 3

Step-by-step explanation:

(3/7 * (- 5/8)) + (1/3 * 5/6) + |- 1/2 - 1/5|

Answers

Answer:

Exact Form:

1789/2520

Decimal Form:

0.70992063

What is 43.808 in written form

Answers

Answer:

fourty-three.(point) eight zero eight

Step-by-step explanation:

hope it helps...

Fourty three point eight zero eight
Hope this helps!

(3x+7)(x+7)=0
What are the two possible values?​

Answers

For the given equation, either 3x + 7 = 0 or x + 7 = 0

Now,

3x + 7 = 0

3x = -7

x = -7/3

or

x + 7 = 0

x = -7

So, possible values of x is : -7 and -7/3

[tex](3x + 7)(x + 7) = 0 \\ \\ \\3x + 7 = 0 \\ \\ 3x = - 7 \\ \\ x = \frac{ - 7}{3} . \\ \\ \\ x + 7 = 0 \\ \\ x = - 7.[/tex]


1. The function j(x) is shown on the graph below.

Answers

Answer:

1)   k = -3

2)   B.  The curve would be narrower, but the vertex would be in the same position.

Step-by-step explanation:

Transformations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]

[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]

Question 1

When a graph is shifted up or down we add or subtract the number of units it has shifted from the function.

From inspection of the graph, the vertex of function j(x) is (0, 2)

From inspection of the graph, the vertex of function j(x) + k is (0, -1)

Therefore, function j(x) has been translated 3 units down.

Therefore, the value of k is -3, since the function of the graph is j(x) -3

Question 2

When discussing the stretching of curves, it is usual to always refer to it as a "stretch" rather than a stretch or compression.  

If the scale factor a is 0 < a < 1 then the graph gets wider.  

If the scale factor a is a > 1 then the graph gets narrower (i.e. "compressed").

h(x) to h(2x) means that the function h(x) has been stretched horizontally by a factor of 1/2.  The other way to say this is that is have been compressed horizontally by a factor of 2.  In any case, as a > 1 the graph gets narrower.

Therefore, the vertex would stay in the same place but the curve would be narrower.

find the binomial expansion of (2+3x)^5 - (2 - 3x)^5

Answers

 The binomial expansion of (2+3x)^5 - (2 - 3x)^5 is 480x + 2160x^3 + 486x^5

Concept: Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms.

For two terms x and y the binomial expansion to the power of n is (x + y)n = nC0 0 xn y0 + nC1 1 xn - 1 y1 + nC2 2 xn-2 y2 + nC3.

Binomial expansion of (2+3x)^5 =32+240x+720x^2+1080x^3+810x^4+243x^5

Binomial expansion of (2-3x)^5 = 32-240x+720x^2-1080x^3+810x^4-243x^5

Combining both the expansions,=32+240x+720x^2+1080x^3+810x^4+243x^5 - (32-240x+720x^2-1080x^3+810x^4-243x^5)

= 32+240x+720x^2+1080x^3+810x^4+243x^5 - 32+ 240x - 720x^2 +1080x^3 -810x^4 +243x^5

=480x + 2160x^3 + 486x^5

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The variables x and y vary directly. Use the given values to write an equation that relates x and y

Answers

The equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

The question is incomplete.

The complete question is:

The variables x and y vary directly. Use the given values to write an equation that relates x and y. x = 18 y = 6

From the question:

y ∝ x

y = kx ..(1)

k is the constant of proportionality after removing the proportional sign.

Plug x = 18 and y = 6

6 = 18k

k = 1/3

Plug the value of k in the equation (1)

y = (1/3)x

Thus, the equation that relates x and y is y = (1/3)x if the variables x and y vary directly and x = 18, y = 6.

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Which of the following is equivalent to the expression, i^39?
O A. -1
OB. 1
O C. -i
O D. i

Answers

The correct answer is B

Simplify -2ab^3 (5a-4a^2 + 6ab^2 - 4b). ?

Answers

Answer:

10a^2b^3−8a^3b^3+12a^2b^5−8ab^4

Step-by-step explanation:

Solve the right triangle, AABC, for the missing sides and angle to
the nearest tenth given angle B = 27° and side c = 15.

Answers

Answer:

please see photo for detailed analysis.

John invested $4,500 at 5.5% annual simple interest. His maturity value of his investment was $5,545. How long did John invest the money? Round to the hundredth.

Answers

John invested the money at simple interest for 4.22 years.

We have,

Invested amount = $ 4500

Rate of interest = 5.5 %

Time = t years

Maturity value = $ 5545

So,

Total interest earned =  $ 5545 - $ 4500 = $ 1045

And,

Simple interest = (Principal × Rate × Time ) / 100

So, Using the mentioned formula,

1045 = ( 4500 × 5.5 × t ) /100

1045 = 45 × 5.5 × t

t = (1045) / (45 × 5.5)

⇒ t = 4.22 years

Therefore, John invested the money at simple interest for 4.22 years.

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One third of all guitars that are sold in the shop is a Stratocaster, one fourth of them are Telecasters, and one fifth of them is a Les Paul. If Jamie goes and buys a guitar, what are the chances she gets a telecaster or a Les Paul?
A. 58%
B. 53%
C. 45%
D. 43%

Answers

The probability that Jamie buys a telecaster or a Less Paul is 45% or forty-five percent.

How to find out the probability?

1. Find the individual probabilities:

Probabilities to buy a telecaster:

1/ 4 = 0.25

Probabilities to buy a Les Paul:

1/ 5 = 0.2

2. Add the probabilities:

0.25 + 0.2 = 0.45

3. Multiply by 100:

0.45 x 100 = 45%

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Solve x:

3x + 99x= 1224

10 pts




Answers

Answer is 12
Reason
Combine like terms
3x + 99 x = 1224
102x = 1224
Now solve for x
Divide both sides by 102
x= 12

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{3x + 99x = 1,224}\\\\\large\textbf{COMBINE the LIKE TERMS}\\\\\mathsf{(3x + 99x) = 1,224}\\\mathsf{3x + 99x = 1,224}\\\mathsf{\bold{102x} = 1,224}\\\\\large\textbf{DIVIDE 102 to BOTH SIDES}\\\\\mathsf{\dfrac{102x}{102} = \dfrac{1,224}{102}}\\\\\large\textbf{SIMPLIFY IT!}\\\\\mathsf{x = \dfrac{1,224}{102}}\\\\\mathsf{x = 12}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Given 2 and 4 are vertical angles

prove 2 and 4.

Statements and reasons.

help

Answers

∠2 and ∠4 are vertical opposite angles and they are congruent.

How to prove vertical angles?

Vertically opposite angles are congruent.

Therefore, let proof ∠2 and ∠4 are vertical angles

Hence,

m∠2 + m∠3 = 180

∠2 and ∠3  are linear pair.

m∠3 + m∠4 = 180

∠3 and ∠4  are linear pair.

∠2 and ∠4 are vertical angles

m∠2 + m∠3 = m∠3 + m∠4

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Answer: View picture below!

Step-by-step explanation: Just did it!

Express 5.5° as a fraction. .​

Answers

Answer:

11/200

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over

100

Percentage means 'out of 100

5.5

100

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there is

1

number to the right of the decimal point, move the decimal point

1

place to the right.

55

1000

Cancel the common factor of

55

and

1000

11/200

What is the formula for finding the area of abc?

Answers

The formula for finding the area of the triangle ΔABC will be half of the product of the base and height. Then the formula is A = 1/2 x BC x  AD.

What is the area of the triangle?

The area of the triangle is given as

A = 1/2 x B x H

Where B is the base and H is the height of the triangle.

The triangle is given below,

We have

B = BC

H = AD

Then we have

A = 1/2 x BC x AD

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If you have 100 apples and you take 30 how many do you have?

Answers

Answer:

70 (100-30)

Rambling (Unrelated):

Although if you take 30 apples from your own stockpile of 100 apples, you still have 100 apples

100 apples

y 2 +2y+1 Identify a= b= c= Factor m= Factor n= Factored Form :

Answers

Answer:

a = 1

b = 2

c = 1

Factored form: (y + 1)^2 or (y + 1)(y + 1)

Step-by-step explanation:

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