Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answer:

Most likely the answer is

3x^2+4x-6

Answer:

3x^2+4x-6 is correct

1 Ampere = 1 Coulomb of charge per second

2.5 A  =  2.5 C of charge per second

Time to deliver 3.5 C of charge = (3.5 C) / (2.5 C / sec)

Time = (3.5 / 2.5) (C / C-sec)

Time = 1.4 sec

A current of 2.5 A delivers 3.5 C of charge in 1.4 seconds.

Answer:

Step-by-step explanation:

[tex] - 3a( {a}^{2} - 10a + 25)[/tex]

Multiply each term in the parentheses by -3a

[tex] = - 3a \times {a}^{2} - 3a \times ( - 10a) - 3a \times 25[/tex]

Calculate the product

[tex] = - 3 {a}^{3} - 3a \times ( - 10a) - 3a \times 25[/tex]

Multiplying two negatives equals a positive [tex]( - ) \times ( - ) \ = ( + )[/tex]

[tex] = - 3 {a}^{3} + 3a \times 10a - 3a \times 25[/tex]

Calculate the product

[tex] = - 3 {a}^{2} + 30 {a}^{2} - 75a[/tex]

Hope this helps...

Best regards!!

Bro did you go in the next grade?

Answer:

32 cm

Step-by-step explanation:

The volume of the container is:

V= area of the base * the heigth

Since the container has a rectangular base the area of it is:

A = length * width

Let L be the missing length

A = L * 10

V = 10* 25 * L

The container can hold 8 Liters when it's completely full to its brim.

8 liters is 8000 cm^3 ( multiply by 1000)

8000 = 10*25*L

8000 = 250 *L

L = 8000/250

L = 32 cm

v=8litres which is 8 × 1000

l=?

b=10

h=25

since, v=lbh (volume of cuboid)

8000=l × 10 × 25

l=8000/250

l=32

therefore the length is 32cm

Answer:

A

Step-by-step explanation:

Diagonals are perpendicular.

This means that there have to be 90 degree angles in the parallelogram which is not true at all. They can be slanted as well!

Hope this helped :) good luck!

Answer:

A system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2

Step-by-step explanation:

The equation of the given line is 8·x - 4·y = 12

Which gives;

8·x- 12= 4·y

y = 2·x - 3

Given that the line passes through the points (0, -3) and (1, -1), we have;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

When (x₁, y₁) = (0. -3) and (x₂, y₂) = (1, -1), we have;

[tex]Slope, \, m =\dfrac{(-1)-(-3)}{1-(0)} = 2[/tex]

y - (-3) = 2×(x - 0)

y = 2·x - 3 which is the equation of the given line

For the lines 8·x - 4·y = 12, which is the sane as y = 2·x - 3 and the line y = m·x  - 6 to have no solution, the slope of the two lines should be equal that is m = 2

Given that the line passes through the point (1.5, 0), we have;

y - 0 = 2×(x - 1.5)  

y = 2·x - 3...................(1)

For the equation, y = m·x  - 6, when m = 2, we have;

y = 2·x  - 6..................(2)

Solving equations (1) and (2) gives;

2·x - 3 = 2·x  - 6, which gives;

2·x - 2·x=  - 3 - 6

0 = 9

Therefore, a system of parallel lines will be created where the two lines will never meet and have no common solution at a value of m = 2.

Answer:

short answer is 2 or d

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

●(xy)^(-1)

● x^(-1) * y^(-1)

● (1/x)*(1/y)

● 1/xy

Answer:

d. (4) + (-5)

Step-by-step explanation:

We know that 4 is the positive value and 5 is the negative value, therefore if to be able to rewrite in it we will almost make a sum of these values without changing the meaning of each one of the values, therefore:

(+4) + (-5)

Which means that the correct option is the last option, that is, d. (4) + (-5). Furthermore, the representation is correct because the resulting arrow is the one corresponding to -1.

Answer:

9[tex]a^{4}[/tex]b³

Step-by-step explanation:

The 2 terms are like terms and can be combined, that is

[tex]a^{4}[/tex]b³ ( 1 + 8)

= 9[tex]a^{4}[/tex]b³

Answer:

9a^4b^3

Step-by-step explanation:

a^4b^3 + 8a^4b^3

These are like terms so we can add them together

Factor out a^4b^3

a^4b^3( 1+8)

a^4b^3 (9)

9a^4b^3

Answer:

The height of the totem tree is approximately 172.8ft

Step-by-step explanation:

Hello,

To find the height of the totem pole, we need to use our date to make a pictorial representation so that we can know if the pole and base makes a right angle triangle with the angle of elevation.

See attached document for better illustration.

Let T represent the height of the pole.

Using trigonometric ratio,

SOHCAHTOA, we can use tangent since we have our adjacent and we're to solve for the opposite.

Tanθ = opposite/ adjacent

Opposite = T

Adjacent = 20ft

θ = 83.4°

Tan83.4 = T / 20

T = 20Tan83.4

T = 20 × 8.64

T = 172.8ft

The height of the totem tree is approximately 172.8ft

Answer:

10 times 16 = C

Step-by-step explanation:

c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°

Answer:

70 +60muinte= 13

Step-by-step explanation:

so that the ans

In h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is:

Driving on the highway, you can safely drive 70 miles per hour. “How far can you drive in ‘h’ hours?” What is the domain of the function which defines this situation?

A.)The amount of gas you use.

B.) 70.

C.) The amount of hours you drive.

D.)The distance you drive

We have:

Driving on the highway, you can safely drive 70 miles per hour.

The speed of the vehicle = 70 miles per hour

As we know,

Distance = speed×time

1 hour → 70 miles

h hour → D miles

D(t) = 70h

The above expression represents the situation.

Thus, in h hours you will go 70h far from the original position and domain of the function is the amount of hours you drive option (C) is correct.

Learn more about the function here:

brainly.com/question/5245372

#SPJ5

This question is incomplete

Complete Question

The area of a sector of a circle is given by the equation A = πr²S/360 where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?

a) 360A+ πr²

b) 360A - πr²

c) 360 + A / πr²

d) 360A/ πr²

Answer:

d) 360A/ πr²

Step-by-step explanation:

In the above question,

Area of the sector (A) = πr²S/360

r = radius

We are also told that Mia solved for S = Angle measure of the sector.

In other to find the equation that Mia used to solve for S,

We would use the Subject of the formula method.

Area of the sector (A) = πr²S/360

We cross Multiply

360 × A = πr²S

Making S the subject of the formula, we divide both sides by πr²

360 × A / πr² = πr²S/ πr²

S = 360 × A/ πr²

S = 360A/ πr²

Therefore, the equation Mia wrote if she solve this equation ( A = πr²S/360) for S is :

S = 360A/ πr²

Option d is the correct option.

Answer:

Step-by-step explanation:

Hello,

For any function f which has an inverse function we can write

[tex]x=(f^{-1}of)(x)=(fof^{-1})(x)=f(f^{-1}(x))[/tex]

This is why, in practice, to find the inverse of f we will consider f(x) = y and we will look for x as a function of y, so we switch x and y and solve for y. Let's do it.

Step 1 - The function f(x) can be written as a variable.  [tex]\boxed{y}=f(x)[/tex]

f(x) = y = 5x + 2

Step 2 - switch the variables x <-> y

x = 5y + 2

subtract 2 to both parts of the equation

<=> x - 2 =  5y + 2 - 2 = 5y

divide by 5 both parts of the equation

[tex]<=> y=\dfrac{x-2}{5}[/tex]

It means that the inverse of f is as below.

[tex]\boxed{ \ f^{-1}(x)=\dfrac{x-2}{5}\ }[/tex]

Step 3 - Find the inverse of g(x)

We already found that the inverse of f is g, so the inverse of g is f.

Let's do it again.

[tex]g(x)=y=\dfrac{x-2}{5} \ \ \text{ switch x and y } \\ \\ x= \dfrac{y-2}{5} \ \ \text{ solve for y }\\ \\ y-2=5x \ \ \text{ mulitply by 5 both parts of the equation } \\ \\ y = 5x+2 \ \ \text{ add 2 to both parts of the equation }[/tex]

And we found what we already known, meaning f is the inverse of g.

[tex](gof)(x)=(fog)(x)=x[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answers and Step-by-step explanation:

Step 1:

We want to find the variable that ff(x) represents. Well, we know it can't be x because we already have x on the other side of the equation: ff(x) = 5x + 2.

So, ff(x) must equal y.

Since ff(x) = y, we know then that ff(x) = y = 5x + 2. And our equation is:

y = 5x + 2

Step 2:

Let's switch the variables now. This means that what used to be y will be x and what used to be x will be y:

y = 5x + 2  ⇒  x = 5y + 2

Subtract 2 from both sides:

5y = x - 2

Divide by 5 from both sides:

y = (x - 2)/5

Step 3:

Let's find the inverse of g(x) by doing the exact same thing as we did with ff(x):

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

Switch the variables:

y = (x - 2)/5  ⇒      x = (y - 2)/5

Multiply by 5 on both sides:

5x = y - 2

Add 2 to both sides:

y = 5x + 2

Notice that this is the exact same as ff(x)! This means that ff(x) and g(x) are inverses.

Answer:

(a). ( 0.776 ,0.809).

(b). (0.567 , 0.613).

(c). 0.600.

Step-by-step explanation:

Okay, we are given the following set of values or data or parameters;

=> "A survey of 2255 randomly selected US adults (age 18 or older)"

=> "1787 of them use the Internet regularly. Of the Internet users, 1054 use a social networking site".

=> Also, "95% confidence interval for each of the following proportions"

Therefore, we are going to make use of one (major ) mathematical formula in solving this particular Question and it is given below;

Confidence Interval = p +/- z* × [ √p( 1 - p) / n].

(a).

Where p = 1787/2255 = 0.793.

95% confidence Interval = z* = 1.96.

= 0.793 +/- 1.96 × [√0.793 ( 1 - 0.793)/ 2255] .

= 0.793 +/- 0.0167.

= ( 0.776 ,0.809).

(b). Where p = 1054/ 1787 = 0.5900

95% confidence Interval = z* = 1.96.

= 0.5900 +/- 1.96 × [√0.5900 ( 1 - 0.5900)/ 1787]

= 0.5900 +/- 0.0228.

= (0.567 , 0.613).

(c). 1054/1787 = 0.59 = 0.600.

Answer:

your answer is the third one

Step-by-step explanation:

Answer:

12 cm × 12 cm.

Step-by-step explanation:

It is given that a square tile has a piece broken off it with 7 cm². The area of the remaining rule is 137 cm².

Total area of square = 7 + 137 = 144 cm²    ...(1)

Area of a square is

[tex]Area=a^2[/tex]     ...(2)

where, a is side length of square.

From (1) and (2), we get

[tex]a^2=144[/tex]

Taking square root on both sides.

[tex]a=\sqrt{144}[/tex]

[tex]a=12\ cm[/tex]

Therefore, the dimensions of the original tile are 12 cm × 12 cm.

1. Yes a circle is a two-dimensional figure. It lies in the plane, which is basically a flat piece of paper that doesn't bend or curve, and the paper extends infinitely in all directions.

2. A circle is not a polygon. A polygon has finitely many straight line segments that glue together to form an enclosed figure. Think of fencing in an area with straight fence portions.

3. Yes this is what makes a circle. Every point on the circle is the same distance from the center. We say these points on the circle are equidistant from the center.

Answer:

Is a circle a two d figure?

YES. It is a flat figure.

Is a circle a polygon?

NO, because it does not have 4 straight sides.

Is every point in a circle the same distance from the center?

YES. All points in a circle are equidistant from the center (they are all equal)

Answer:

C. Rectangle

Step-by-step explanation:

A parallelogram can not have a single 90° angle. This is because the opposite angles of a parallelogram are equal.

Therefore, the two opposite sides are equal.

In a parallelogram, neighboring angles add up to 180°. This therefore implies that all the angles are 90°.

This describes a rectangle.

Answer:

To determine the number of real number solutions of as system of equations in which one equation is linear and the other is quadratic

1) Given that there are two variables, x and y as an example, we make y the subject of the equation of the linear equation and substitute the the expression for y in x into the quadratic equation

We simplify and check the number of real roots with the quadratic formula, [tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] for quadratic equations  the form 0 = a·x² - b·x + c

Where b² > 4·a·c there are two possible solutions and when b² = 4·a·c equation there is only one solution.

Step-by-step explanation:

Answer:

Isolate one variable in the system of equations. Use substitution to create a one-variable equation. Then, set the quadratic equation equal to zero and find the discriminant. If the discriminant is negative, then there are no real number solutions. If the discriminant is zero, then there is one real number solution. If the discriminant is positive, then there are two real number solutions.

Step-by-step explanation:

I just took the test on Edge 2020

Answer:

shape AREA= 35cm^2

Step-by-step explanation:

you should know that this shape is a combination of triangle and trapezoid. therefore you have to find the area of each shape and add them.

A=h/2(b1 + b2) for trapezoid

A=2/2((4+4)+4)

A=1*12

A=12cm^2

A=bh/2. for TRIANGLE

A=1/2((4+4)*5.75)

A=1/2(46)

A=23cm^2

shape AREA= triangle AREA + trapezoid AREA

shape AREA=12cm^2 + 23cm^2

shape AREA= 35cm^2

Answer:

Final velocity, v = 21.75 m/s

Step-by-step explanation:

Given that the relation between final velocity, initial velocity, acceleration and distance traveled is expressed as:

[tex]v^2=u^2+2as[/tex]

Also, given that:

Initial velocity, u = 9 m/s

Acceleration, a = 7 m/[tex]s^2[/tex]

Distance, s = 28 m

To find:

Final velocity, v = ?

Solution:

The given relation between v, u, a and s is:

[tex]v^2=u^2+2as[/tex]

We have the values of initial velocity, acceleration and distance traveled in the question statement. We just need to put all these values to find the value of final velocity.

Let us put all the values in the given equation and try to find final velocity, v:

[tex]v^2=9^2+2\times 7 \times 28\\\Rightarrow v^2=81+14 \times 28\\\Rightarrow v^2=81+392\\\Rightarrow v^2=473\\\Rightarrow v=\sqrt{473}\\\Rightarrow v=21.75\ m/s[/tex]

So, the answer is:

final velocity, v = 21.75 m/s

Answer:

It is C

Step-by-step explanation:

42.60=43.00

587.70=588.00

27.99=28.00

Answer: 4π cm^2/minute

Step-by-step explanation:

Rate of change :

Change with respect to time (dr/dt)

dr/dt = 0.4cm^2/s

r = 5cm

The rate of change when the Radius is 5cm

Area / Circumference of a circle (A) = πr^2

From chain rule of differentiation:

dA/dt = (dr/dt) * (dA/dr)

If A = πr^2

dA/dr = 2πr

dA/dr = 2π * 5 = 10π

However,

dA/dt = (dr/dt) * (dA/dr)

dA/dt = (0.4) * (10π)

dA/dt = 4π cm^2/minute

Answer:

(1,0) and (3,0)

Step-by-step explanation:

y=x^2-4x+3

To factor we need to know what numbers add up to -4 and multiply will equal to 3.

y=(x-3)(x-1)

The zeroes would be 3 and 1.

x=3  so y=0 for (x-3)

x=1 so y=0 for (x-1)

If right pls give me brainliest thank you.

Answer:

(1, 0) and (3, 0)

Step-by-step explanation:

[tex]y=x^2-4x+3[/tex]

Plug y as 0 to find the x-intercepts.

[tex]0=x^2-4x+3[/tex]

Factor right side.

[tex]0=x^2-1x-3x+3[/tex]

[tex]0=x(x-1)-3(x-1)[/tex]

[tex]0=(x-1)(x-3)[/tex]

Set factors equal to 0.

[tex]x-1=0\\x=1\\x-3=0\\x=3[/tex]

x=1 or x=3 when y=0

Step-by-step explanation:

Check the attachment... Hope it helps:)

Good luck!!

Answer:

£15

Step-by-step explanation:

The 2 part of the ratio represents the £10 that Jim gets.

Divide the amount by 2 to find the value of one part of the ratio.

£10 ÷ 2 = £5 ← value of 1 part of the ratio, thus

3 parts = 3 × £5 = £15 ← amount Krutika gets

Answer:

The correct option is;

c. ∠A ≅ ∠D

Step-by-step explanation:

The given information are;

[tex]\overline{AB}\cong \overline{DE}[/tex]                      

[tex]\overline{AC}\cong \overline{DF}[/tex]

Therefore, for Side Angle Side, SAS, condition of congruency, we have;

The included angle should be congruent that is ∠C ≅ ∠D

Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.

For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).

Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D

Learn more about SAS congruence theorem on:

https://brainly.com/question/14252518

The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given below.

4x – 3y = 24

Convert the equation from standard form to slope-intercept form. Then we have

4x – 3y = 24

3y = 4x - 24

y = (4/3)x - 24 / 3

y = (4/3)x - 8

The equation 4x – 3y = 24 can be represented in the slope-intercept form will be y = (4/3)x - 8.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

1and1/2yrs ago

Step-by-step explanation:

price dis year= 56545

reduction per year= 11309

...number of years ago = 73810-56545=17265

and is about 20% of annual deductions

so if 56545 +20% + 1/2 20% = 1nd1/2 yrs