What is the value of the product (3 – 2i)(3 + 2i)?

timed test please help me

Answer:

m=-16

Step-by-step explanation:

To solve the equation, we want to find out what m is. In order to do this, we have to get m by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

-35=m-19

19 is being subtract from m (-19). The opposite of subtraction is addition. Add 19 to both sides (+19) The -19 and +19 equal 0, and therefore cancel each other out.

-35+19=m-19+19

-35+19=m

-16=m

Let's check our solution. Plug -16 back in for m in the original equation.

-35=m-19

-35=-16-19

-35=-35

Both sides of the equation are the same, so we know that m is equal to -16.

The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.

Answer:

2.49-1.99= 0.5

0.5 divided by2.49 times 100 is about 20% decrease

1.99-2.49+0.5 also so it is also a 25 percent increase

Step-by-step explanation:

Answer:

The frequency of the class interval  225 – 230 is 4

Step-by-step explanation:

The frequency of the class interval can be seen as how many times that elements within the class interval appeared.

To do this we will have to count out all the numbers that are bigger than 225 but less than 230. These are the elements in this class (225 - 230).

They include:

225, 227 228, 225

Hence there are 4 elements in this class.

The frequency of the class interval  225 – 230 is 4

Answer:

A = 25pi m^2

Step-by-step explanation:

We know the diameter, we need the radius

r = d/2

r = 10/2 = 5

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi m^2

Answer:

156

Step-by-step explanation:

1) The formula for finding the sum of interior angles of an n-gon is 180(n-2)

2) Plug in 15 for n

180(15-2)

3) Solve

180(15-2)

180(13)

2340

4) There are 15 angles in a 15-gon

5) Divide sum of interior angles by number of interior angles

2340/15 = 156

6) So, the answer is 156 degrees

Answer:

A∪B = {0,1,3,5,6,7,9}

A∩B = {3}

Step-by-step explanation:

A = {1,3,5,7}

B = {0,3,6,9}

Now

A∪B is a union (unity) of both sets

A∪B = {0,1,3,5,6,7,9}

Now

A∩B is the intersection(common elements) of both sets

A∩B = {3}

Answer:

Step-by-step explanation:

A ={1, 3 , 5 , 7}

B= {0, 3 , 6 , 9}

A U B is a set of all distinct elements that are in A or B

A U B = {0, 1 , 3 , 5 , 6 , 7 , 9}

A ∩ B is a set  of all distinct elements that are in both A & B

A  ∩ B = {3}

Answer:

180 meters

Step-by-step explanation:

The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).

So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.

-5(x-8)(x+4)

-5(x^2+4x-8x-32)

-5(x^2-4x-32)

-5x^2-20x-160

Vertex formula is: -b/2a

b = 20

a = -5

[tex]\frac{-20}{2(-5)}[/tex]

= 2

The x-coordinate of the vertex is 2.

Plug 2 into the equation

-5(2)^2+20(2)+160

= 180 meters

Answer:

70°

Step-by-step explanation:

RSTU is a kite,

Sum of 4 internal angles= 360°

m∠U=m∠S=80

m∠T= 360° - (130°+80°+80°)= 70°

Answer:

-12

Step-by-step explanation:

[tex]7\dfrac{1}{2}\div\left( 4\dfrac{1}{2}-5\dfrac{1}{8} \right)=\\\\7\dfrac{1}{2}\div -\dfrac{5}{8}=\\\\\dfrac{15}{2}\times -\dfrac{8}{5}=\\\\-\dfrac{15\times 8}{2\times 5}=\\\\-12[/tex]

Hope this helps!

Answer:

The error of his estimate was $25.

Step-by-step explanation:

The error of an estimate is given by the estimated value subtracted by the real one. Since John estimated that he would spend $100 and he only spent $75 than the error of his estimate is:

[tex]\text{error} = 100 - 75\\\text{error} = 25[/tex]

The error of his estimate was $25.

Answer:

C

Step-by-step explanation:

i got itright

Answer:

144cm²

Step-by-step explanation:

Answer:

x = 20º

Step-by-step explanation:

we know that  sin x = cos(90-x)

Hence

sin 30º = cos(90 - 30)º

sin 30º = cos 60º

hence sin 30º can be also written as cos 60º

Also, as given

sin 30º = cos(3x)

therefore

cos 60º =  cos(3x)

as we have cos on both side then angle for both side will be same

60º =  3x

=> 60º / 3 = x

=> x = 20º

Then  x = 20º is answer.

Answer:

Adding 13 to both sides we get x = 8.

Answer:

x = 8

Step-by-step explanation:

x - 13 = -5

x = 8

Answer:

d = 0.0175n    ---> required equation

Billy can buy 285.714 gram nut with $5

Step-by-step explanation:

cost of 100g loose nut = $1.75

dividing LHS and RHS by 100

cost of 100/100g loose nut = $1.75

Thus, cost of 1 gm loose nut = $0.0175

let the weight of loose nut be n gm

Multiplying LHS and RHS by n

cost of x g loose nut = $0.0175*n =  $0.0175n

It is given that Billy spent d dollars to buy n gm nuts

thus,

d = 0.0175n    ---> required equation

________________________________________________

He spent $5 to buy nuts

substituting value of d as 5 we have

0.0175n = 5

=>n = 5/0.0175 = 285.714

Thus, Billy can buy 285.714 gram nut with $5.

Answer:

Step-by-step explanation:

Part A

[tex]V=\pi r^2h=\pi *2.5^2*7.5=147.26\\=147in^3\\[/tex]

Part B

[tex]r=\sqrt{\frac{V}{\pi h} } \\=\sqrt{\frac{75}{\pi *6} } \\=1.99\\=2in[/tex]

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

⇒ Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Answer:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Step-by-step explanation:

Points:

Slope-intercept form:

slope is:

denominator of the fraction is zero, we can't divide by zero, so this line has no slope

----------

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answer:

D;

Step-by-step explanation:

It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.

Answer:

Kerry = 2/3 * 420 = 280

David = 3/4 * 420 = 315

David read more pages compared to Kerry.

David read 35 more pages than Kerry.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

Chemistry book contains 420 pages.

Kerry read 2/3 of her chemistry book,

= 2/3 x 420

= 280 pages.

David read 3/4 of her chemistry book,

= 3/4 x 420

= 315 pages.

315 - 280 = 35 pages.

Therefore, David read more pages.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

D.) 5 x 25 = 125

Step-by-step explanation:

The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.

Answer:

A) X + Y = 30

B) X = .2Y OR X - .2Y = 0

We subtract B) from A)

1.2Y = 30

Y = 25  X = 5

X * Y = 125

Answer is d.) 125

Step-by-step explanation:

Answer: 4.2

Step-by-step explanation:

the coefficient is the number used to multiply a variable. here, the variable is x, and it is being multiplied by 4.2.

so the coefficient of the equation is 4.2

Answer:

N=6

Step-by-step explanation:

As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6

Answer: [tex]y=\frac{1}{4} x-5[/tex]

Step-by-step explanation:

Lines perpendicular to another line have inversely proportional slopes. We are given that the slope of the line is -4, so the slope of the perpendicular line will be positive 1/4. Now we have a starting point for this line:

[tex]y=\frac{1}{4} x+b\\-8=\frac{1}{4} (-12)+b\\-8=-3+b\\b=-5[/tex]

Notice how I plugged in the points given.

Answer:

it's SAS. You've probably found out by now sorry :/

Step-by-step explanation:

Answer:

sas

Step-by-step explanation:

Answer:

2[tex]\frac{1}{2}[/tex] litres or 2.5 litres

Step-by-step explanation:

From the question, 9 fruit juice bottles contain 4[tex]\frac{1}{2}[/tex] litres of fruit juice. Therefore, to find how many litres of fruit juice would be contained in 5 fruit juice bottles, you multiply 5 by 4[tex]\frac{1}{2}[/tex] litres and you divide the product by 9.

i.e. Let the quantity of the fruit juice for 5 bottles be x.

9 juice bottles ===> 4[tex]\frac{1}{2}[/tex] litres

5 juice bottles ===> x

∴x = [tex]\frac{5 * 4\frac{1}{2} }{9} litres[/tex]

x = [tex]\frac{5 * 4.5}{9} litres[/tex]

x = [tex]\frac{22.5}{9} litres[/tex]

x = 2.5 litres or 2[tex]\frac{1}{2}[/tex] litres

Hope this helps!!!

Answer:

The answer is 72.

Step-by-step explanation:

You have to put in the values of a and b into the expressions :

[tex] {a}^{2} {b}^{3} - {(ab)}^{2} [/tex]

[tex]let \: a \: = - 2 \\ let \: b = 3[/tex]

[tex] {( - 2)}^{2} \times {(3)}^{3} - {( - 2 \times 3)}^{2} [/tex]

[tex] = 4 \times 27 - { (- 6)}^{2} [/tex]

[tex] = 108 - 36[/tex]

[tex] = 72[/tex]

Answer:

50

Step-by-step explanation:

opposite angles are equal so 50 is corresponding with x

Answer:

x = 50

Step-by-step explanation:

Parallelogram have opposite sides parallel and equal in length.  The opposite angles are equal.

x = 50

Answer:

1-√10

1+√10

Step-by-step explanation:

Answer:

f⁻¹(f(6.022)) = 6.022

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Step-by-step explanation:

f⁻¹(f(x)) = x

so  f⁻¹(f(6.022)) = 6.022

inverse function flips y and x coordinates so look at table where f(x)=-10 and read x so f⁻¹(-10) = -6

f⁻¹(-10) + f(-6) = -6 + -10 = -16

Answer:

0,-11

Step-by-step explanation:

-p^2 − 11p = 0

Factor out -p

-p( p+11) =0

Using the zero product property

-p =0    p+11 =0

p =0      p = -11