what is 3/4 - 1/4ygkfmvkbkmbkvmmf

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:


Related Questions

If a fair coin is tossed 5 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?

Answers

Probability to get at most 2 heads after flipping coin for 5 times is 1/2.

What is probability?

Probability is the ratio of good outcomes to all possible outcomes of an event is known as the probability.

The number of positive results for an experiment with n outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

With a fair coin, there are [tex]2^{5}[/tex] = 32 possible combinations of heads and tails after 5 flips.With 0 heads,5C0 = 5!/0!5! = 1 ways

get one head 5C1 = 5!/ 4!1! = 5 ways

To obtain precisely 2 heads,5C2 = 5!/ 2!3! = 10 ways

Obtain 3 heads,5C3 = 5!/ 3!2! = 10 ways

Total methods to gain at most 2 heads are 1+5+10 = 16.

Probability to get at most 2 heads is = ( total methods to gain at most 2 heads)/(total ways)

P(total methods to gain at most 2 heads) = 16/32 =1/2.

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rhonda's cell phone plan cost 50$ per month plus 0.25 for each text she sends, how many text messages can she send and still pay less than a total of 70$

Answers

The text messages that Rhonda can send and still pay less than a total of $70 is less than 80 messages.

How many text messages can she send?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the number of tests be represented by t.

The inequality will then be:

50 + 0.25t < 70

0.25t < 70 - 50

0.25t < 20

Divide

t < 20/0.25

t < 80

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Lauren was given a gift card for a coffee shop. Each morning, Lauren uses the card to buy one cup of coffee. The original amount of money on the gift card was $10 each cup of coffee costs $2. Make a table of values and then write an equation in terms of x, representing the amount money remaining on the card after buying x cups of coffee.

Answers

The amount of money left on the gift card, in term of the number of cups, a Lauren has bought is represented by the equation would be A = 10 - 2a.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We are given that from the task content that the total amount of money Lauren has initially is $10.

Hence, each cup of coffee costs $2.

Since the amount of money Lauren has left each time,

That is related to the number of coffee cups bought by the equation;

A = 10 -2a.

where a ranges be between 0 and 5.

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30 points !! Please help now math

Answers

The given 4th degree polynomial is ,[tex]f(x)=(x+5)(x+1)^2(x-2)[/tex] zeroes of the equation are -5,-1,2

How to write equation of 4th degree polynomial from given graph?

A fourth-degree polynomial, or quartic function, is one that has a variable raised to the fourth power as its highest order term.

If the highest order term is positive or negative, a fourth-degree polynomial's graph will frequently resemble a M or a W.

The function will reach infinity on both sides if the leading term's coefficient, a, is positive.

The function will extend to minus infinity on both sides if the coefficient an is negative.

The function's y-intercept, or the point at which the function crosses the y-axis, is indicated by the word a0. The x-intercepts are revealed by the function's roots.

Inflection Points are roots of double derivate equation.

Calculation:

Given;

From the graph, x-intercepts are -5,-1,2.

That gives us (x+5),(x+1),(x-2) are factors of the function;

As at [tex]x=-1[/tex] graph touches x axis (x+1) is a double factor of f(x)

That leaves us with [tex](x+5),(x+1)^2,(x-2)[/tex] as factors of f(x);

[tex]f(x)=(x+5)(x+1)^2(x-2)[/tex];

From graph inflections points are -2.686,0.186;

That gives [tex]f^|^|(x)=(x+2.686)(x-0.186)[/tex]

The given 4th degree polynomial is ,[tex]f(x)=(x+5)(x+1)^2(x-2)[/tex] zeroes of the equation are -5,-1,2

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Simplify the expression using properties of operations 7 1/3t-(10 2/3t-6)

Answers

The result is 6-13/3×t after simplification by multiplying first and added the like term.

What do you mean by properties of operation?

The procedure of calculation which we use in arithmetic. We perform our mathematical calculation by using particular operational properties such as addition, subtraction, multiplication and division.

How do we simplify mathematical terms?

we can simplify any expression by using the properties of addition, subtraction, multiplication or division depending on the statement given.

in the above expression 7×(1/3)t- [10×(2/3)t-6]

we simplify it (7/3)t- (20/3)t+6

                      -(13/3)t+6

             hence, 6-13/3t

hence, the result is 6-13/3×t

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What is the net force if the forces are balanced? 0N,-5N,100J, 5N

Answers

When forces are balanced the sum of the net force is 0 N

What is net force?

The total of all forces exerted on an object is known as the net force.

A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.

When there are a lot of forces acting on a system, the term "net force" is employed.

When the net force is summed to zero then the forces are said to be balanced

Hence a zero net force is a balanced force and will result to 0 N

N is the short form of Newton which is the unit of force

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A small cube has the volume shown. Its side length is 3.5 in. less than a​ second, larger cube. What is the volume of the larger​ cube?
Volume:85 in^3

Answers

Answer:

not possible

Step-by-step explanation:

Answer:

[tex]493.039 \;in^3[/tex]

Step-by-step explanation:

If each side of the cube is [tex]a[/tex] then the volume of the cube is given by [tex]a^3[/tex]

If Volume is [tex]V[/tex] then each side [tex]a = \sqrt[3]{V}[/tex]

Here we are given the volume of the smaller cube as [tex]85\; in^3[/tex]

So each side of this cube = [tex]\sqrt[3]{85} = 4.396 \approx 4.4 \;in[/tex]

and each side of the larger cube [tex]= 4.4 + 3.5 = 7.9\;in[/tex]

Volume of larger cube [tex]= 7.9^3 = 493.039 \; in^3[/tex]

Which of the following expressions are equivalent to - (8/3)

Answers

Il y a 16/6 , 32/12, 64/24 ...

The solution is, the following expressions are equivalent to 4⁻³ / 4⁻⁸

A.  4^8/4^3

D. 4⁵

What is an exponent in math?

An exponent refers to the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of 1 is itself.

here, we have,

We have to calculate to find the result -

The expression is = 4^(-3)/4^(-8)

According to the indices rule, the power will be deducted if it is a division.

Therefore, a^m/a^n = a^(m-n)

Using that formula,

4⁻³ / 4⁻⁸

= 4⁸ / 4³

= 4⁽⁸⁻³⁾

=4⁵

Therefore, the answer choice D is the option, and the answer is 4^5.

Option A is also correct.

Because we can find 4^5 with the help of that option.

Alternative way,

4^(-3)/4^(-8)

= 4^(-3+8)

= 4^(8-3)

= 4^8/4^3

In the is way, we can also find option A is correct.

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complete question:

Which of the following expressions are equivalent to 4^-3/4^-8?

HELP What is the solution to this inequality? 6.9 < x−3 1/2

Answers

Answer:

Solve for x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form: x>10.4

Interval Notation: (10.4,∞)

Step-by-step explanation:

Simplify please!
Sqrt(-256x^8)

Answers

im prettyyyy sure its 16x^4

You take a vacation with your family to Cancun, Mexico. One day you decide to rent a jet ski while at the beach. The equation T=
0.55m 5 gives the total cost in dollars T for renting a jet ski for m minutes. What is the cost for renting a jet ski for 35
minutes?

Answers

Answer:

19.25

Step-by-step explanation:

t = .55m

t = .55(35)

t = 19.25

I am not sure what you mean by 5 give the total cost in dollars T.  I am not sure where the comes from.

Answer:

$24.25

Step-by-step explanation:

Given equation:

[tex]T=0.55m+5[/tex]

where:

T = total cost of renting a jet ski (in dollars)m = number of minutes

To find the total cost of renting a jet ski for 35 minutes, substitute m = 35 into the given equation and solve for T:

[tex]\implies T=0.55(35)+5[/tex]

[tex]\implies T=19.25+5[/tex]

[tex]\implies T=24.25[/tex]

Therefore, the total cost of renting a jet ski for 35 minutes is $24.25.

Precious is twice as old as Mika 2 years ago. The difference of their present age is 7. What is Precious' present age?​

Answers

the answer is 14

simply multiply mika age by 2

since the difference is 7

meaning that mika is seven

and twice is 14

Tricia got a 56% on her math test.
If she answered 14 questions
correctly, how many were on the
test?

Answers

Answer:

25 Questions

Step-by-step explanation:

Rationing

This Question tests on the concept of Rationing using percentages.

Eg. 45% of 100 = 45, therefore 100% of 100 = 100.

Solution

Given information from the question:

56% = 14 Questions

1% = (14 ÷ 56) Questions

Total number of questions in the test = 100%

100% = (14 ÷ 56) × 100 Questions = 25

Answer:

[tex]\huge\boxed{\sf 25\ questions}[/tex]

Step-by-step explanation:

Let the total questions be x.

Given that,

56% of total questions = 14

Key: "of" means "to multiply", % means out of hundred.

[tex]\displaystyle \frac{56}{100} \times x = 14\\\\0.56 \times x = 14\\\\Divide\ 0.56\ to\ both\ sides\\\\x = 14/0.56\\\\x = 25[/tex]

So, there were 25 questions on the test.

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

find the 16th term of the arithmetic sequence whose common difference is d=7 and whose first term is a↓1=-2

Answers

The 16th term of the arithmetic sequence value is 103.

How to find 16th term of the arithmetic sequence?

The 16th term of the arithmetic sequence whose common difference is d=7 and whose first term is a↓1=-2

An arithmetic sequence is defined as an=a1+d (n-1). In essence, this indicates that the term you're looking for, an, is equal to the first term, a1, plus the term difference, d, times the number of terms, n, minus one. For this issue, that essentially means that

an=a1+d(n-1)

The value of an at term sixteen is equal to -2 + 7*. (16-1)

PEDMAS is used to

a16= -2+7*15

a16= -2+105

a16= 103

Therefore, 103 will be the 16th term's value.

The 16th term of the arithmetic sequence value is 103.

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Write an equation in slope intercept form

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

slope = 1-(-3)/3-1

4/2 = 2

this is the m value, or value before x.

So far, this is what we have: y = 2x + b

To find b, we plug in one of the points we have, into the equation.

(in this case ill use (3, 1), where 3 is the x and 1 is the y)

So,

1 = 2(3) + b

1 = 6 + b

1 - 6 = b

-5 = b

Finally,

y = 2x - 5

(2,5) and (-4,2) in standard form

Answers

The standard form is y= 1/2x+ 4.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

(2,5) and (-4,2)

So, slope

= (2- 5)/ ( -4 - 2)

= -3 / (-6)

= 1/2

and, using slope- intercept form

y- 5 = 1/2( x - 2)

y-5 = 1/2x -1

y= 1/2x + 4

Hence, the standard form is y= 1/2x+ 4.

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A 33-m tall building casts a shadow. the distance from the top of the building to the tip of the shadow is 34m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.

Answers

Answer:

  8.2 m

Step-by-step explanation:

You want the length of the shadow whose tip is 34 m from the top of a 33 m building.

Hypotenuse

The described geometry can be modeled by a right triangle with one leg 33 m and hypotenuse 34 m. The Pythagorean theorem tells us the length of the other leg is ...

  a² +b² = c²

  b² = c² -a²

  b = √(c² -a²)

  b = √(34² -33²) ≈ 8.2 . . . . meters

The length of the shadow is about 8.2 meters.

__

Additional comment

The angle of elevation to the top of the building can be found from the trig relation ...

  Sin = Opposite/Hypotenuse

And the length of the shadow can be found from the relation ...

  Cos = Adjacent/Hypotenuse

If α is the angle of elevation, then ...

   sin(α) = 33/34   ⇒   α = arcsin(33/34)

and

  Adjacent = Hypotenuse × cos(α)

  Adjacent = 34·cos(arcsin(33/34)) ≈ 8.2 . . . . meters

where the "adjacent" side of the triangle is the side between the building and the tip of the shadow, along the ground.

Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply] * Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the above

Answers

Binary search algorithm can be used for any arrays. The worst-case time complexity of binary search is greater than sequential search

are NOT true for binary search algorithm.

Now, According to the question:

Options 1, 3 are NOT true for binary search algorithm

Hence, Binary search algorithm can be used for any arrays.

and, The worst-case time complexity of binary search is greater than sequential search

are NOT true for binary search algorithm.

In the question:

Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply]

Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the above

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Look at photo for problem

Just need chart filled out
5. y=(x+4)(x-1)

Answers

On solving the given equation y=(x+4)(x-1) the point on the graph are as follows:

(-4,0), (-1,0), (2,6), (-3,-4) &(0,-4)

What is a graph?

A relation is a specific instance of a function graph. A function is truly equivalent to its graph in set theory and the current mathematical underpinnings.

It is frequently more helpful to think about functions as mappings, which include the sets that constitute the domain and the codomain in addition to the relationship between input and output. For instance, the codomain should be considered while determining if a function is onto (surjective) or not. The codomain of a function is not determined by the graph alone.

It is typical to use the phrases function and graph of a function interchangeably since, although referring to the same thing, they suggest distinct ways of looking at it.

1)

let   y=0

0=(x+4)(x-1)

i.e. x = -4 and -1

2)

Let x =0

y=(0+4)(0-1)

y=-4

3)

Let x = 2

y=(2+4)(2-1)

y=6

4)

Let x = -3

y=(-3+4)(-3-1)

y=-4

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The bar graph below shows the regions in which all the passenger cars were produced during a recent year. What is the
difference between the number of passenger cars produced in Asia and the number produced
in Eastern Europe/Russia?
Latin America
North America
Eastem Europe/Russia
Asia
Westem Europe
0 2
4 6 8 10 12 14 16
Cars produced (in millions)

Answers

The difference between the number of passenger cars produced in Asia and the number produced in Eastern Europe/Russia is given as follows:

3 million.

What is shown by the bar graph?

The bar graph given by the image at the end of the answer shows the number of passenger cars produced in each of the regions.

From the graph, the numbers for each region are given as follows:

Latin America: 2 million.North America: 3 million.Eastern Europe/Russia: 8 million.Asia: 11 million.Western Europe: 15 million.

Then the difference between the number of passenger cars produced in Asia and the number produced in Eastern Europe/Russia is calculated as follows:

11 - 8 = 3 million.

Missing Information

The bar graph is given by the image shown at the end of the answer.

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A computer costs £ 964. A tax of 18.5% is then added to the cost of the computer.
Work out the amount of tax that is added to the cost of the computer.

Answers

Answer:

£ 178.34 tax amount

Step-by-step explanation:

A computer costs £ 964. A tax of 18.5% is then added to the cost of the computer. Work out the amount of tax that is added to the cost of the computer.

18.5% tax = 0.185 tax rate

0.185 tax rate * £ 964 = £ 178.34 tax amount

A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning. (pleaseeee help I will mark you brainliest.)

Answers

T is not a function of G as they don't have a constant of proportionality.

How to illustrate the equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

It should be noted that the constant of proportionality simply means the ratio that relates two given values in what is known as a proportional relationship. In this case, other names for the constant of proportionality are the constant ratio, constant rate, unit rate, constant of variation, or the rate of change

Since the parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. This implies that they don't have a constant of proportionality.

In this case, the time doesn't have an effect on amount paid.

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The number of miles driven by Harper is directly proportional to the number of gallons she used.
How many miles would she drive on } 50 gallons?

Answers

Im pretty sure its 1660

Answer:

Below

Step-by-step explanation:

From the data , the miles per gallon is  

199.2 mi  / 6 gal       or      265.6 mi / 8 gal      or     863.2 / 26    

   = 33.2 mi/gal

for 50 gallons this would be

    33.2 mi / gal   *  50 gal = 1660 mi

A taste test asks people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results,​

Answers

Answer:

D. 0.53

Step-by-step explanation:

California = 90

Total of those who prefer Brand A = 170

To find the percentage, you do:

90/170 × 100 = 52.941...

However you have to round it to two decimal points, hence you do:

52.941 ≈ 53%

53% = 0.53

This is due to 53% representing 53/100 = 0.53

Therefore, the probability that the person that likes brand A is from California is 0.53

:)

Each marble bag sold by Ashley's Marble Company contains 3 green marbles for every 5 yellow marbles. If a bag has 18 green marbles, how many yellow marbles does it contain

Answers

Number of yellow marbles for every 18 green marbles = 30 yellow marbles

What is unitary method ?

The unitary method entails figuring out the value of a single unit from which we can extrapolate the values of all the required units.

According to the given information

Applying the unitary method

Number of yellow marbles for every 3 green marbles = 5

Number of yellow marbles for every One green marbles = [tex]\frac{5}{3}[/tex]

Number of yellow marbles for every 18 green marbles = [tex]\frac{5}{3}[/tex] × 18

So

Number of yellow marbles for every 18 green marbles = 30 yellow marbles

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12. Carly's family is going to buy cell phones for the entire family. After some research they have narrowed their choices
down to 2 companies. AT&T charges a monthly rate of $100 plus $15 for each phone on the account. Their competitor,
Sprint, charges a flat monthly fee of $200 and they will receive an unlimited number of phones on the account.
a. Write an equation for the cost of each cell phone provider and then graph the equations.
AT&T:
Sprint:
b. Use any method to determine which company would be cheaper if Carly's family consists of Carly, mom, dad, two brothers, and one sister. Explain your reasoning

Answers

Answer:

Step-by-step explanation:

a. The equation for the cost of AT&T would be $100 + $15n, where n is the number of phones on the account. The equation for the cost of Sprint would be $200.

We can graph these equations on a coordinate plane with the x-axis representing the number of phones on the account and the y-axis representing the monthly cost. The graph for the cost of AT&T would be a straight line starting at the point (0,100) and going through the point (1,115), (2,130), etc. The graph for the cost of Sprint would be a horizontal line at the y-coordinate of 200.

b. In order to determine which company would be cheaper for Carly's family, we can simply plug in the number of phones they have (5) into each of the equations we derived in part a. This would give us a cost of $200 for AT&T and $200 for Sprint. In this case, both companies would be equally cheap for Carly's family.

Alternatively, we could graph the equations and see which company's line is lower on the y-axis for the given number of phones (5). This would also show that both companies would be equally cheap for Carly's family in this case.

Which could be the first step in solving the equation represented by the model below?
Add 4 positwe unt tles to each side.
Remove 4 unit ties from each side.
Add 6 positive unit tiles to each side.
Remove 6 unit tiles from each side.

Answers

To each side, add 4 positive unit tiles.

What is a one-variable linear equation and what does it look like?

The equation for a linear equation in one variable is written as ax+b = 0, where a and b are two integers, and x is a variable. This equation has only one solution. For instance, the linear equation 2x+3=8 only has one variable.

The initial formula is:

3x - 4 = 2x + 5

Four positive unit tiles are added to each side, giving us:

3x - 4 + 4 = 2x + 5 + 4

3x = 2x + 9

which removes the independent elements off both sides of the equal sign and places them all on the right side (the +9 term), simplifying the initial equation. You'll see that the other choices don't produce this outcome.

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Willka can cover 13.5 m^2 with 3L of paint
Complete the table using equivalent ratios.

Answers

Willka covers 4.5 m² in 1L paint and 45 m² in 10L in paint according to the table.

What are equivalent ratios?

We know that the equivalent ratio is defined as the ratio which is having the same proportion as given ratio.

Now, using the division property of the ratio, we will divide the given ratio with the same number both sides.

According to the given question:

If Willka covers 13.5 m² with 3L paint, to cover x m² she will need 1L paint

By equivalent ratios

13.5 : 3 = x : 1

x = 13.5 / 3

x = 4.5

Similarly to cover y m² she needs 10L paint

13.5 : 3 = y : 10

y = 13.5 x 10/3

y = 45

Therefore the answer for the blanks is 4.5 and 45.

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there are 12 levels in Zoe new video game suppose she plays the same number of levels each day what are all the possibilities for the number of days Zoe could play the game without repeating a level show you work ?

Answers

Answer:

17

Step-by-step explanation:

Determine the equation that represents the proportional relationship shown in each table below.
Drag an equation into the box beside each table.
k=4/5h k=5/4h h=1/5 k h=5/1 k

Answers

The equations of the proportional relationships from the table are k = 5h, k = 5/4h and k = 1/5h

How to determine the equations of the proportional relationships?

From the question, we have the following parameters that can be used in our computation:

Table 1Table 2Table 3

The equation of a proportional relationship is represented as

k = Y/X * h

Where

(X, Y) is the coordinate of any ordered pair from the function or table

Using the above as a guide, we have the following:

Table 1

k = 10/2 * h

Evaluate the products and the quotient

k = 5h

Table 2

k = 5/4 * h

Evaluate the products and the quotient

k = 5/4h

Table 3

k = 5/25 * h

Evaluate the products and the quotient

k = 1/5h

Hence, the equations are k = 5h, k = 5/4h and k = 1/5h

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hurry please last question its due in 20 minutes Find the area of the Composite Figure aj sold 200 candy bars to raise money for their community softball league. Milk chocolate candy bars sold for $3 each, and dark chocolate candy bars sold for $4 each. Aj sold $675 worth of candy bars. The system of equations below represents the sales of candy bars.m+d=2003m+4d=675How many dark chocolate candy bars did AJ sell?Enter your answer in the box. 13 You recently organised an event for your family to celebrate a special occasion.Write an email to a friend telling them about this event.In your email, you should:Psay what the special occasion wasexplain what you did to make the event memorabledescribe your family's reactions.The pictures above may give you some ideas, and you can also use some ideas of your own.Your email should be between 150 and 200 words long.You will receive up to 8 marks for the content of your email, and up to 8 marks for the languageused. Graph the compound inequality on the number linex -6 or x6 a client with borderline personality disorder (bpd) who is receiving dialectical behavior therapy as part of his treatment program is participating in a skills group. the client is learning how to be assertive and problem solve. which type of skills group is the client involved with? Select all that applyWhich businesses would be categorized as "multinational organizations," as opposed to "multinational corporations"? (Choose every correct answer.)Exxon MobilInternational Red CrossJohnson & JohnsonWorld Health Organization During the aftermath of World War I, we can see us positioning itself as one of the leaders in global affairs. What is one example of the us doing this after the war? a client with alzheimer's disease is admitted for hip surgery after falling and fracturing the right hip. the client's spouse tells the nurse about feeling guilty for letting the accident happen and reports not sleeping well lately because the spouse has been getting up at night and doing odd things. which nursing diagnosis is most appropriate for the client's spouse? what you would do as an anthropologist regarding these customs based on what you have learned about the work of anthropology throughout the semester. Would you work to eliminate these customs because they cause harm to some members of the community? Or, would avoid changing any aspect of these cultures simply because their customs offend our sensibilities? asmita went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. asmita has had good luck at blackjack in the past, and she actually got three blackjacks with aces in a row the last time she played. because of this lucky run, asmita thinks that ace is the luckiest card. the dealer deals the first card to her. in a split second, she can see that it is a non-face card, but she is unsure if it is an ace. what is the probability of the card being an ace, given that it is a non-face card? answer choices are in a percentage format, rounded to the nearest whole number. how many ways can we have the 2n people stand in a line so that no person is standing next to their spouse? Lake Erie, the smallest of the Great Lake by volume, still holds an impressive 116 cubic miles of water. Suppose you start today dumping out the entire volume of Lake Erie using a cone cup. A typical cone cup has a diameter of 2 and 3/4 inches and a height of 4 inches. About how long would it take you to empty the lake if you could dump out one cup per second? 6. You and a friend go to the store and purchase 3 candy bars that cost $0.84 each and 2 sodas that cost $1.80 each. You are going to split the cost. You pay for your half with a five dollar bill. How much change will you receive? Please SHOW your work.A. $3.06B. $1.60C. $6.12D. $1.94 ________ streams begin in moist regions and flow downstream into arid landscapes with high evapotranspiration.A. PerennialB. IntermittentC. EphemeralD. TemporaryE. Exotic Conservation biologists are trying to save a population of orchids in Hawaii from extinction. If the population currently contains about 50 individuals and is expected to sustain an r of 0.048, predict the size of the population in 10 years.Using Equation 51.6, Nt = 50e(0.048)(10) = 81; the orchid population will grow to only about 81 individuals in 10 years. the text notes two ways a company can address the economic risk that comes from foreign investments. what are those two ways? cells synthesize a variety of complex molecules to include proteins, nucleic acids, lipids and carbohydrates. a large majority of the molecules that cells make are proteins. which three organelles are most involved in synthesizing proteins? A pharmaceutical person earns a 12% of commission of the total sales of the stains that he sell to the hospital. If he earns 800,000.00 in commission function rule to find f(21)