which of the following is equivalent to 3(5+2i)-2(3-6i)^2

Answer:

The distance between them is 180 units

Step-by-step explanation:

Given

[tex]a = 88[/tex]

[tex]b = -92[/tex]

Required

Using absolute value, calculate the distance between them

The distance d is calculated as:

[tex]d = |b - a|[/tex]

Substitute values for a and b

[tex]d = |-92 - 88|[/tex]

[tex]d = |-180|[/tex]

[tex]d = 180[/tex]

It can also be calculated using:

[tex]d = |a - b|[/tex]

Substitute values for a and b

[tex]d = |88 - (-92)|[/tex]

Open bracket

[tex]d = |88 +92|[/tex]

[tex]d = |180|[/tex]

[tex]d = 180[/tex]

Answer:

use the calculator by doing this types of question

Answer:

48395590593

Step-by-step explanation:

calculator

Answer:

$279.98

Step-by-step explanation:

A 20/6 balloon payment means loan amortization is for 20 years and constant payments is for 6 years after which balloon payment is due.

The formula to calculate her constant payments based on a 15 year amortization plan is

A= P × r × r(1+r)^n/(1+r)^n-1

Where A = constant monthly payments for the 6 year period

r= interest rate

P= mortgage value loan

n= number of months =20×12=240 payments

Substitute values in the formula:

A= $155000× 0.0425×0.0425(1+0.0425)^240/(1+0.0425)^240-1

A= $279.98

To calculate what she would pay before balloon payment is due, we simply multiply her monthly payments $279.98 by number of payments 240

Answer:

all of it. because he ate 3/4 and she ate 1/4

Answer:4/4 of the apple

Step-by-step explanation: Ben ate  3/4 of the apple and Irene ate 1/4 parts of the apple what is 1 + 3 =4 and there are 4 part of the apple so 4 is how much they ate and 4 is how much there is to eat so it would be 4/4

(sorry if this does'nt help)

Answer:

W = 3

Step-by-step explanation:

7W + 3 = 5W + 9.

Get all the varibles onto one side, and get all the integers onto the other side, we get:

7W - 5W = 9 - 3.

Simplifing, we get:

2W = 6

W = 3.

Answer:

Step-by-step explanation:

Corresponding sides have same ratio

Q18

Q19

Q21

Answer:

The kind of hypothesis testing we can use is z-test for means

Step-by-step explanation:

Given that;

sample mean x" = 500

standard deviation σ = 100

sample size n = 6

What kind of hypothesis testing do we use?

There are two cases where z-test can be use;

first, when we know the population standard deviation or variance

and secondly, when the population size is more than 30.

So from the question, the population standard deviation was given, which is 100.

Since we know the S.D, it meets the first condition.

Therefore, The kind of hypothesis testing we can use is z-test for means

Answer:

True

Step-by-step explanation:

Let's say the slope of an equation is 3/2. You move the point by moving it up by three and moving it to the right by two or moving it down by 3 and moving it to the left by two.

If the equation was - 3/2. You would move the point by moving it up by three and moving it to the left by two or moving it down by three and moving it the right by two.

Answer:

y=25,000(0.07)^t

Step-by-step explanation: t= year/month. not specified, but year is most appropriate for these kind of equations.

Answer:

24

Step-by-step explanation:

3 : 1/8 = 3/1 · 8/1 = 3 · 8/1 · 1 = 24/1 = 24

Hope this helped!

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

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

5x = 60

x = 12

y = 40-3x = 4

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Answer:

7 to 10 or 70%

Step-by-step explanation:

9514 1404 393

Answer:

  108

Step-by-step explanation:

The circumference of a circle is given by ...

  C = 2πr

The circle shown has a radius of 9 in, so the circumference is ...

  C = 2π(9 in) = 18π in

__

When the circle is dilated by a factor of 6, the circumference is multiplied by 6. It becomes ...

  dilated C = 6(18π in) = 108π in

The multiplier of π inches is n = 108.

Answer:

its d.

Step-by-step explanation:

the other guy is wrong

Using sides of a triangle rule, the inequality gives the range of possible values for x is  5 < x < 9.

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side.

Given that two sides of triangle are 2 and 7 inches.

Let the third side be x inches.

x < 2+7 ⇒ x < 9

7 < 2 + x ⇒ x > 5

2 < 7 + x, which is true for any positive value of x.

Thus,  5 < x < 9.

Learn more about sides of a triangle rule here

https://brainly.com/question/15170715

#SPJ2

Answer:

this is easy

Step-by-step explanation:

sin 0 is 0

cos 0 is 1

tan 45 is 1

so ...

0+1+1 is 2

Answer:

68F

Step-by-step explanation:

Given data

The formula F = 1.8C + 32

we want to find F for C= 20°C

Substitute into the formula we have'

F = 1.8(20) + 32

F=36+32

F=68

Hence the value of 20°C in Fahrenheit is 68F

Answer:

3 times 30 miles and 4 times 40 miles

Step-by-step explanation:

Travis will ride at a distance of 30 miles after 3 hours and at a distance of 40 miles after 4 hours.

Speed is the unit rate in terms of distance travelled by an object and the time taken to travel the distance.

Speed is a scalar quantity as it only has magnitude and no direction.

Given that,

Travis is planning to ride at a constant speed during an upcoming bike trip.

This implies that the slope of the graph will be a constant.

So the graph will be a straight line.

We have two points on the graph (1, 10) and (2, 20).

The starting point will be (0, 0).

Slope = (20 - 10) / (2 - 1) = 10

So the equation of the line is y = 10x.

When x = 3 hours, y = 30 miles

When x = 4 hours, y = 40 miles

Hence the points has to be marked at (3, 30) and (4, 40).

Learn more about Speed and Slope here :

https://brainly.com/question/13281781

#SPJ2

The complete question with the graph is given below.

Answer:

y = 15 m<a = 78 m<b = 68

Step-by-step explanation:

(5y+3) + (4y+8) --> 9y + 11

9y + 11 = 146

y = 15

plug in 15 into the equations for the angles and you get

m<a = 78

m<b = 68

Answer:

A-$1.69

Step-by-step explanation:

45% of 3.75 is 1.6875

1.6875 needs to be rounded to the nearest hundredth

So it would make 1.68

Answer:

2.05

Step-by-step explanation:

x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.

Answer:

8y + 7

Step-by-step explanation:

add them: y + 5 + 3y + 5 + 4y - 3 = 8y + 7

Answer:

g=15.04

Step-by-step explanation:

g=4.7×3.2=15.04

Answer:

g/=15.03

Step-by-step explanation:

i hope it's correct in sorry if not

Answer:

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Step-by-step explanation:

Given

[tex]d(x) = 1200 - 8x[/tex]

[tex]p(x) = 2x + 1[/tex]

Required

Find R(x)

We have that:

[tex]R(x) = d(x).p(x)[/tex]

This gives:

[tex]R(x) = (1200 - 8x) * (2x + 1)[/tex]

Expand

[tex]R(x) = 1200* (2x + 1) - 8x* (2x + 1)[/tex]

Open brackets

[tex]R(x) = 2400x + 1200 - 16x^2 -8x[/tex]

Collect Like Terms

[tex]R(x) = - 16x^2 -8x+2400x + 1200[/tex]

[tex]R(x) = - 16x^2+2392x + 1200[/tex]

Answer:

The function that can be used in the online shopping club about its monthly revenue is:

[tex]R = -400x^{2} +7200x+70000[/tex]

Step-by-step explanation:

First, we're gonna take into account the different values we have in the exercise:

How the variable [tex]x[/tex] represents the price increase, we can do the formula below:

In this formula, we represent in the first part that by each 1 in the variable [tex]x[/tex], the total of members will be reduced in 400, in the second part, we mention that at the same time, the membership fee will be increased in the same value of [tex]x[/tex]. Now we must simplify this function:

We operate the values:

Solve we can:

And organize:

At the end, how [tex]R[/tex] represents the monthly revenue received by the club, we use that variable for our formula:

Answer:

8 people attended the second meeting.

Step-by-step explanation:

Given that:

Number of people who attended the first meeting = 72

Let,

x be the number of people who attended second meeting.

9 times people of second meeting = Number of people who attended first meeting

9x = 72

Dividing both sides by 9

[tex]\frac{9x}{9}=\frac{72}{9}\\x=8[/tex]

Hence,

8 people attended the second meeting.

Answer:

64

Step-by-step explanation: