Simplify -3/2÷9/6
○-4
O-1
04
01

The two-point A and B will be -1+2i and -2+2i respectively.

A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.

The complex number is given as;

x+iy

Where x is the real part and iy is the imaginary part.

The two points added to obtained -3 + 4i are;

A = -1+2i

B= -2+2i

The sum of the two points is;

⇒A+B;

⇒-1+2i + -2+2 i

⇒-3 + 4 i

Hence the two-point A and B will be -1+2i and -2+2i respectively.

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Answers:

height = 4.46 units

area = 26.73 square units

Both values are approximate

===========================================================

Explanation:

h = height of the triangle

Focus on the smaller triangle on the left.

Use the cosine ratio to find h

cos(angle) = adjacent/hypotenuse

cos(27) = h/5

h = 5*cos(27)

h = 4.4550326 approximately

Your calculator needs to be in degree mode.

We can now find the area of the overall largest triangle.

area = 0.5*base*height

area = 0.5*12*4.4550326

area = 26.7301956

area = 26.73

Answer with a step-by-step explanation:

1) First, let us find the height of the triangle.

For that let us use cos theta to find the triangle's height.

Let us use the below formula to find it.

Let the height (adjacent ) be h.

Let us find it now.

cos Θ = Adjacent ÷ hypotenuse

cos 27° = h ÷ 5

0.8910 = h ÷ 5

0.8910 × 5 = h

4.455 = h

Therefore the height of the triangle is 4.455 units.

2) And now let us find the area of the triangle.

The formula to find the area of a triangle is:

Let us find it now.

A =  [tex]\frac{1}{2}[/tex] × base × height

A =  [tex]\frac{1}{2}[/tex] × 12 × 4.455

A =  [tex]\frac{1}{2}[/tex] × 53.46

A = 26.73 units²

Answer:

The answer is D

Cuba, Poland, U.S., Argentina, Turkey, and Spain

Step-by-step explanation:

Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%

Answer:

x = 55 degrees

Step-by-step explanation:

The sum of the internal angles of a triangle results in 180°

x + 50° + 75° = 180°

x + 125° =180°

x = 180° - 125°

x = 55°

Answer:

Step-by-step explanation:

Total number of customers

⇒ 15 + 5 + 10 + 14 + 8 + 12 + 6 = 70

Percentage of customers who came on Friday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Friday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8}{70} \times 100\\\\& = \sf 11.43\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Saturday\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{12}{70} \times 100\\\\& = \sf 17.14\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

Percentage of customers who came on Friday and Saturday

[tex]\begin{aligned}\implies \sf Percentage & = \sf \dfrac{Fri\:and\:Sat\:customers}{Total\:number\:of\:customers} \times 100\\\\& = \sf \dfrac{8+12}{70} \times 100\\\\& = \sf 28.57\%\:\:(nearest\:hundredth)\end{aligned}[/tex]

28.57 is the answer, and its rounded to the nearest hundredth

Answer:

Aubree can use 4.6 gigabytes of data while staying within her budget.

If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.

Step-by-step explanation:

x= gigabyte

58.50 + 3x = 72.30

3x = 72.30-58.50

3x= 13.8

x= 4.6

Step-by-step explanation:

sin(theta)=4/7

cos(theta)=√1-sin²theta

=√1-(4/7)²

=√1-16/49

=√(49-16)/49

= √33/49

=(√33)/7

Answer:

Step-by-step explanation:

1) y = [tex]\frac{1}{3}[/tex]

2) x = [tex]\frac{1}{3}[/tex]

3) y = -3

4) x = [tex]\frac{-1}{-12}[/tex]

Answer:

11,3,3,12

Step-by-step explanation:

1st y= 11 because -2/3(-6)=4 4+7=11

1st x= 3 because -2/3(3)=-2 and -2+7 is 5

2nd y=-3  because -2/3(15)=-10 -10 +7=-3

2nd x=-12 because -2/3(-12)=8 8+7=15

Answer:

it is in java and it is also can be done in BlueJ

Step-by-step explanation:

please mark me brainlist

The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

Soda costs =  $3 per case

Paper plates  = $4 per stac

The maximum amount of money you can spend  is $25

x = the number of cases of soda

y = the number of stacks of paper plates.

The inequalities that define the given conditions are;

[tex]4x+3y \leq25[/tex]

Hence, option A is correct.

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5[tex]\sqrt{3}[/tex]

Special right triangles, such as the one shown, have unique equations that can be used to find missing sides.

30-60-90 Triangles

The angle measurements show us that this is a 30-60-90 triangle. This name refers to the 3 angle measurement. There are 2 types of special right triangles, 45-45-90 and 30-60-90. For most triangles, it would take the law of sine or cosine to find a missing side with only 1 side given. But, with special right triangles, we can use shortcuts to find a.

Formulas

For all 30-60-90 triangles, there are 3 sides: the hypotenuse (c), the long leg (a), and the short leg (b). The shortcuts for 30-60-90 triangles are based on the length of the short leg.

The formulas are as follows (the variables match the variable given in the figure):

Solving for a

So, to find a, we must first find b. Since b is equal to half of c, we can divide the value of c by 2.

Thus, b = 5

Next, plug this value into the formula for b

Answer:

Last option

Step-by-step explanation:

cos30° = a/10  

a = 10cos30°

     [tex]cos30=0.8660=\frac{\sqrt{3} }{2}[/tex]

[tex]a=10(\frac{\sqrt{3} }{2} )=5\sqrt{3}[/tex]

Hope this helps

The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

Let

Since it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.

Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y

So, the total cost of dish is T = 40x + 70y

Also, we know that the total cost of dish is $13,570.

So, 40x + 70y = 13570  (1)

Also, there are going to be 250 guest at the dinner and thus 250 dishes.

So, the total number of dishes is x + y = 250

So, x + y = 250 (2)

So, the equations of the linear system are

40x + 70y = 13570  (1)

x + y = 250 (2)

Since

40x + 70y = 13570  (1)

x + y = 250 (2)

From (2), x = 250 - y

Substituting x into (1), we have

40x + 70y = 13570  (1)

40(250 - y) + 70y = 13570  (1)

10000 - 40y + 70y = 13570  

30y = 13570 - 10000

30y = 3570

y = 3570/30

y = 119

Substituting y = 119 into x, we have

x = 250 - y

x = 250 - 119

x = 131

Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes

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The vale of x is 54°.

The tangent is defined as a line touching circles or an ellipse at only one point.

We have,

As, the tangent is perpendicular to the radius of the circle.

So, using Angle sum property in a triangle

x+90+36= 180

x+126 = 180

x= 54°

Hence, the value of x is 54°

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The conditional probability values are 0.57 and 0.43

               Has Eaten before   Have not           Total

Snack A     144                               108                252

Snack B      92                               228                320

Total          236                              336                572

Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.

The required probabilities are conditional probabilities, and they are calculated using:

P(A | B) = P(A and B)/P(B)

Using the above formula, we have:

The probability that a customer eats snack A given that the customer has eaten snack A before, to be:

P = n(Have eaten snack A)/n(Snack A)

This gives

P = 144/252

Evaluate

P = 0.57

Also, we have:

The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:

P = n(Have not eaten snack A)/n(Snack A)

This gives

P = 108/252

Evaluate

P = 0.43

Hence, the probabilities are 0.57 and 0.43

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Step-by-step explanation:

the problem description is seemingly contradicting itself.

"without replacement" means that you don't put the picked item back into the bag or "pool" of items.

and that means that after Rebecka picked a puppy, Aaron CANNOT pick the same one at all.

but then it says that they both may select the same one. which means it is WITH replacement.

so, what is it now ?

I have to give you both answers, and you will have to clarify with your original question or directly with your teacher what is the true condition.

in any case, a probability is always

desired cases / total possible cases.

WITH replacement (they can both pick the same puppy) :

there are 10 puppies, from which 3 are poodles.

so, total possible cases = 10, desired cases = 3

the probability to pick a poodle at the 1st pick = 3/10.

the picked puppy goes back.

the probability to pick a poodle at the 2nd pick = 3/10.

the probability that both picks are poodles is

3/10 × 3/10 = 9/100 = 0.09

WITHOUT replacement :

the first picked puppy is not returned to the group of 10 puppies, so, it can't be picked again, and the number of available puppies gets less as each puppy is removed. this changes the probabilities.

at the beginning we have 10 puppies, from which 3 are poodles.

the probability to pick a poodle at the 1st pick = 3/10.

the picked puppy does NOT go back.

now we have 9 puppies for Aaron to pick from. and for our desired cases for the second pick we have to combine it with the outcome, that the first pick was a poodle.

that means we have only 2 poodles left in the group of 9 puppies.

the probability to pick a poodle at the 2nd pick = 2/9.

the probability that both picks are poodles is therefore

3/10 × 2/9 = 6/90 = 1/15 = 0.066666666...

The ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

The ERP System is a form of software used by businesses to handle day-to-day business operations in a company such as finance, marketing, project management, regulatory risk management, as well as, supply chain management.

The primary goal of an ERP system is to improve organizational efficiency by controlling and improving how corporate resources are used. Therefore, the ERP system is originally configured to handle the transactional component rather than supporting the reporting component.

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Answer:

Each student ticket costs $10, and each adult ticket costs $17.

Step-by-step explanation:

Let s represent the cost of a student ticket and a represent the cost of an adult ticket.

31s + 32a = 854

31s + 31a = 837

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

a = 17

31s + 31(17) = 837

31s + 527 = 837

31s = 310, so s = 10

Answer:

(1) 10

(2) 10π

(3) 25π

Step-by-step explanation:

We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.

We are required to find the diameter, perimeter, and area using the given data we have been provided with.

Let's start:

#1: Diameter

To find diameter [tex]d[/tex] use formula:

                                               [tex]d=2*r[/tex]

After substituting  [tex]r=5[/tex] we have:

                                             [tex]d=2*5\\d=10[/tex]

After calculating, we have found that the diameter of the circle is 10.

#2: Perimeter

The perimeter can also be known as the circumference of a circle as they both measure the outline.

To find circumference [tex]C[/tex] use formula:

                                                  [tex]C=2*r*\pi[/tex]

After substituting [tex]r=5[/tex] we have:

                                          [tex]C=2*5*\pi[/tex]

                                           [tex]C=10\pi[/tex]

Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359

⇒ 31.4

After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).

#3: Area

To find area [tex]A[/tex] use the formula:

                                            [tex]A=r^2*\pi[/tex]

After substituting  [tex]r=5[/tex] we have:

                                           [tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]

Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:

⇒ 78.5398163397

⇒ 78.6

After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).

After finding all the required information, we have now completed the answer.

The perimeter of the triangle is 21.4 units

The points are given as:

A(−2,2), B(5,−3), and C(−4,−1)

Calculate the side lengths using:

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]

[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]

[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]

The perimeter is then calculated as:

P = AB + AC + BC

This gives

P = 8.6 + 3.6 + 9.2

Evaluate

P = 21.4

Hence, the perimeter of the triangle is 21.4 units

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Step-by-step explanation:

x=4,-6

im pretty sure this is correct

Answer:

The product of the Width and Length is x^2 + 4x + 3 cm^2.

Step-by-step explanation:

The volume of a box = 5x^3 + 20x^2 + 15x cm^3.

Volume of a Box = W*L*H       [Width(W), Length(L), and Height(H)]

W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3

W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm

W*L = x^2 + 4x + 3 cm^2

We know the area of the base of the box (W*L).  It is x^2 + 4x + 3 cm^2.

To find the actual width and length, we need to know one of the variables, L or W.  Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.

horizontal transformation 1 unit left.

vertical translation 2 units down.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

f(x) = [tex]4^{x}[/tex]

g(x) = [tex]4^{x+1} -2[/tex]

As, we can see that g(x) is shifted left side by 1 unit

So, horizontal transformation 1 unit left.

Now, as 2 is subtracted

So, vertical translation 2 units down.

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(A) n=w by the corresponding angles theorem.

(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary and not always equal.

(C) n=z by the alternate exterior angles theorem.

(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.

(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.

Answer:

21500

Step-by-step explanation:

21500 people would have to see the movie to recuperate their losses.

The number of people would have to see the movie is given by the equation A = 2600 people

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of people to see the movie in first four weeks be A

Now , the equation will be

The cost of movie license per week = ₹ 1500

The cost of movie license per month = 4 x ₹ 1500

The cost of movie license per month = ₹ 6000

And ,

The cost of keeping the stuff and hall for a month = ₹ 20,000

So ,

The cost of movie license and the hall for a month = 20,000 + 6000

The cost of movie license and the hall for a month = ₹26,000

The cost of charge of each seat = ₹ 10

So , the number of people to see the movie in the first four weeks in order for them to recoup the costs A = cost of movie license and the hall for a month / cost of charge of each seat

Substituting the values in the equation , we get

Number of people to see the movie in first four weeks A = 26000/10

Number of people to see the movie in first four weeks A = 2600 people

Hence , the number of people is 2600 people

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Answer:

AB and CD have the same midpoint, therefore they bisect each other.

Step-by-step explanation:

Find the midpoint of AB. Then, find the midpoint of CD. They are the same. The segments bisect each other. See image.

Answer:

-8x²-3x+5

Step-by-step explanation:

First, add like terms.

3-6x-2x²+3x-6x²+2=

= 5-3x-8x²

Put it in standard form. To put in standard form, put the exponent from greatest to least.

-8x²-3x+5.

Hope this helps!

If not, I am sorry.

Answer:

6779

Step-by-step explanation:

69