math math math math math

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

Answer:

1000

Step-by-step explanation:

b.) 23.4x13.9/0.18= 1000

Answer:=

=(x^2+4x)+(7x+28)

=x(x+4)+7(x+4)

=(x+4)(x+7)

Step-by-step explanation:

Answer:

[tex](x+4) (x+7)[/tex]

Step-by-step explanation:

Factor x^2 + 11x + 28 using the AC method.

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

15d + 74 > 200

d > 8.4 days

Step-by-step explanation:

Total cans needed = over 200

Number of cans they have = 74

Number of cans needed per day = 15

Number of days = d

The inequality is

74 + 15d > 200

Also written as

15d + 74 > 200

15d > 200 - 74

15d > 126

d > 126/15

d > 8.4 days

Answer:

x = 55

y = 70

Step-by-step explanation:

since it's all sides are equal its an equilateral triangle

each angle of an equilateral triangle is 60°

therefore,

y - 10 = 60 => y = 60 + 10

y = 70

x + 5 = 60 => x = 60 - 5

x = 55

Answer:

x+5=y-10

x-y = -15

y-10+X+5+X+5=180

2x+y =180

x-y+2x+y =180-15

3x.=165

x. =55

2x+y =180

y =180-(110)

y =70

Answer:

f(x) = (x + 4)^2*(x - 5)^3

Step-by-step explanation:

For a polynomial P(x) with zeros (or roots):

x₁, x₂, ..., xₙ

And a leading coefficient (the one that multiplies the term of highest degree) A, we can write the polynomial as:

P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Now, some of these roots can be repeated.

For example if x₁ = x₂

Then we say that the root x₁ has a multiplicity of two.

And we write the polynomial as:

P(x) = A*(x - x₁)^2*(x - x₃)*....*(x - xₙ)

Now, if we have a polynomial with the roots (or zeros):

Zero at -4 with a multiplicity of 2 (we have the root x = -4 two times)

Zero at 5 with a multiplicity of 3 (we have the root x = 5  3 times)

(And a leading coefficient A =  1, I assume)

This polynomial will be written as:

f(x) = (x - (-4))*(x - (-4))*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)*(x + 4)*(x - 5)*(x - 5)*(x - 5)

f(x) = (x + 4)^2*(x - 5)^3

The correct option is the third one:

Answer:

1000

Step-by-step explanation:

1,080,000,000/1,047,000

Answer:

13/5

Step-by-step explanation:

Cos is the opposite of Sec si first find the Cos of B which is 5/13, which would mean the Sec B would 13/5.

Answer:

Step-by-step explanation:

Recall that the secant function is the reciprocal of the cosine function.  The cosine function is defined as

              adj side

cos Ф = ------------------

              hypotenuse

and so the secant function is

               hypotenuse                          13

sec Ф = ------------------  which here is --------- = sec B

              adj side                                     5

Answer:

the surface area is 112 ft^2

Step-by-step explanation:

if you separate listen to two different rectangles you get what's a rectangle a being 3 + 10 + 3 equals 16 * 2 what gives you 32 okay and rectangle b being 3 + 2 + 3 what gives you 8 x 10 that gives you the area of 80 now you add the area both rectangles being 32 + 80 and to get a hundred and twelve feet squared

Answer:

125

Step-by-step explanation:

x = 1500 /  12

  =  125

Answer:

Answer is AB=AC-BC

20-16=4

Answer:

It's the second one

Step-by-step explanation:

Answer:

Restricted Range

Step-by-step explanation:

Required

Reason for insignificant correlation

From the question, we understand that the article discussed the full population while you restricted the correlation to only 21-year-olds age groups.

You left out other age groups included in the original dataset that was analyzed and reported by the article. The term that describes this act is restricted range, because other age groups are not represented in your analysis.

Answer:

Step-by-step explanation:

=9.88/132 (this is in fraction form)

for calculating percentage just multiply the fraction by 100%

=9.88/132*100%

=9.88*100/132

=988/132

=7.48 %

Answer:

36 cubic inches

Step-by-step explanation:

The prism is literally just the front section twice. Find the area of the front and then add it to itself

Answer:

Step-by-step explanation:

Answer: The answer is -x^2 + 12x + 5

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Area is 2D, and Volume is 3D

volume is L x W x H

area is L x W which has already been given to you so you just need to use the height given to you

38.28 x 11

Answer:

4.9

Step-by-step explanation:

use this equation : [tex]a^2 + b^2 = c^2[/tex] (your hypotenuse is always going to be c)

 [tex]7^2 - 5^2 = b^2[/tex]

 [tex]49 - 25 = b^2\\[/tex]          

         [tex]24 = b^2[/tex]

      [tex]\sqrt{24} = b[/tex]

        [tex]4.9 = b[/tex]

Answer:

vertical, 47

Step-by-step explanation:

vertical, 47

Answer:

vertical; 47

Step-by-step explanation:

Vertical angles are opposites.

Answer:

[tex]30[/tex]; Obtuse, isosceles triangle OR "[tex]B[/tex]"

Step-by-step explanation:

If you replace the [tex]z^o[/tex] variable with [tex]30^o[/tex] on both angles.

The angles will be:

[tex]30^o[/tex]

[tex]120^o[/tex] ([tex]4(30)=120^o[/tex])

[tex]30^o[/tex]

This angle is isosceles (two sides are equal). It is obtuse (there is one angle that is greater than [tex]90^o[/tex]).

Answer:

Step-by-step explanation:

If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:

[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.

49 + 576 = 625 and

625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem

Answer:

[tex]P (Yes | Nebraska) = 0.10[/tex]

Step-by-step explanation:

Given

See attachment for contingency table

Required

[tex]P (Yes | Nebraska)[/tex]

From the contingency table, we have:

[tex]P (Yes\ n\ Nebraska) = 0.044[/tex]

[tex]P (No\ n\ Nebraska) = 0.400[/tex]

The required can be represented as:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

Where

[tex]P (Nebraska) = P (No\ n\ Nebraska) +P (Yes\ n\ Nebraska)[/tex]

So, we have:

[tex]P (Nebraska) = 0.400 + 0.044[/tex]

[tex]P (Nebraska) = 0.444[/tex]

So, we have:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

[tex]P (Yes | Nebraska) = \frac{0.044}{0.444}[/tex]

[tex]P (Yes | Nebraska) = 0.10[/tex] --- approximated

Answer:

the answer is 9

Step-by-step explanation:

6/10=x/15

10x=90

x=9

Answer:

C. If an object is dropped from a height of 120 feet, the function h(t) = –16t2 – 120 gives the height of the object after t seconds.

Step-by-step explanation:

.................................The last one is the only one that makes sense according to the standard position function.  -16t^2 is the pull of gravity on an object in free fall, and the height is 120 feet above the ground.  Hopefully that's what you need since there's no graph we can refer to

....................................................Answer:

The explanation that best provides the real-world scenario is:

If an object is dropped from a height of 120 feet, the function                    

gives the height of the object after t seconds.

Step-by-step explanation:

a)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since when t=0 we have:

          h(t)= -120

This is not possible as the object is above the ground and hence must have positive height initially.

b)

If an object is dropped from a height of -16 feet, the function  gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t=0 we have: h(t)= 120 feet.

This means that the object is dropped from a height of 120 feet.

c)

If an object is dropped from a height of 120 feet, the function  gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120 that means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

              Hence, this option is correct.

........................................The equation that models the movement of the object is:

Where,

t: time

a: acceleration due to gravity

v0: initial speed

h0: initial height

Suppose that the object falls with zero initial velocity and from a height of 38 feet.

The equation that models the problem is:

Answer:

If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

.................Answer: If an object is dropped from a height of 38 feet, the function h (t) = -16t2 + 38 gives the height of the object after seconds

Step-by-step explanation:

The explanation that best provides the real-world scenario is:

⇒ If an object is dropped from a height of 120 feet, the function                    

h(t) = - 16t² - 120 gives the height of the object after t seconds.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

a) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

Hence, This option is incorrect.

Since, when t=0 we have:

h (t) = -120

This is not possible as the object is above the ground and hence must have positive height initially.

b) If an object is dropped from a height of -16 feet, the function

h(t) = - 16t² + 120 gives the height of the object after t seconds.

This option is incorrect.

Since a object when is dropped from some height then it must be a positive height.

Also, when t = 0

we have: h (t) = 120 feet.

This means that the object is dropped from a height of 120 feet.

c) If an object is dropped from a height of 120 feet, the function

h(t) = - 16t² - 120 gives the height of the object after t seconds.

In this when t=0 we have:

h(t)=120

That means the height of the object initially was 120 feet and then it decreases with the increase in time as the object will reach the ground with the time increase and hence height will decrease.

Hence, this option is correct.

Learn more about the mathematical expression visit:

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Answer:

{[tex]t|0\leq t\leq 50[/tex]}

Step-by-step explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

[tex]H(t)=10000-175t[/tex]

We have to find the domain of the function for this situation.

When t=0

Then ,[tex]H(0)=10,000 feet[/tex]

From given graph we can see that the value of t  lies  from 0 to 50.

Therefore, the domain of the function for this situation is given by

{[tex]t|0\leq t\leq 50[/tex]}

Answer:

I think the height is 22.

Answer:

942m^3

Step-by-step explanation:

Given data

Radius of cone= 5m

Height= 12 m

We know that volume of a cone is given as

V= πr^2h

V= 3.14*5^2*12

V= 3.14*25*12

V= 942 m^3

Hence the volume is 942m^3