The product (5+ i) (5 – i) is a real number, 26. What are the factors (5 + i) and (5 – i) called? (1 point)
o complex numbers
O imaginary units
complex conjugates
O imaginary numbers
please help :( suck at math all the way

Answer:

  i -j +2k . . . at s=t=-1

Step-by-step explanation:

For the lines to intersect, there must be values of s and t that make the coordinates of r1 equal to those of r2.

Equating i coefficients, we have ...

  2 +s = 2 +t

Equating j coefficients, we have ...

  2 +3s = 3 +4t

Equating k coefficients, we have ...

  3 +s = 4 +2t

The first equation tells us s = t. Using t = s in each of the other two equations, they become ...

  2 +3s = 3 +4s   ⇒   s = -1

  3 +s = 4 +2s   ⇒   s = -1

Then the point of intersection is where s = t = -1. That point is ...

  (2 +s)i +(2 +3s)j +(3 +s)k = (2 -1)i +(2 -3)j +(3 -1)k

  = i -j +2k . . . . the point of intersection

P=20x-0.01x^2-240

P=20(300)-0.01(300)^2-240

P=6000-0.01(90000)-240

P=6000-900-240

P=4860

Remember PEMDAS

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

EXPLANATION: first Is Parentheses, which would be 300, multiply that by 20, that would be 6000.

Next is Exponents, which would be the (^2) so you would Multiply the 300 by itself 2 times. which is 90000

Next is Multiplication, Multiply 0.01 by 90000, which would be 900.

There is nothing to divide or add so skip that.

Next is subtraction, subtract 6000-900-240 and the answer would be 4860.

so Faith's prediction profit for this season would be 4860 when her orchard produces 300 bushels of apples.

I hope that helped! Good Luck!

Answer:

190 g

Step-by-step explanation:

Mass     =Density

Volume

Let the mass be x.

x/200=0.95

x=200 x 0.95

x =  190 g

Thank you!

Answer:

A = 56.5cm²

Step-by-step explanation:

r = 1.5cm

h = 4.5cm

A=2πrh+2πr2

A = 2πr(h+r)

A = 2 x 3.14 x 1.5 x ( 4.5 + 1.5 )

A = 56.62cm²

[tex] \large{ \underline{ \underline{ \bf{ \red{Given}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \purple{To \: find}}}}}[/tex]

[tex] \large{ \underline{ \underline{ \bf{ \green{Now, \: What \: to \: do?}}}}}[/tex]

For solving this question, we should know how to calculate the surface area of cylinder i.e Total surface are of cylinder = 2πr(r + h)

Where, r = radius of the cylinder and h is the height of the cylinder.

[tex] \large{ \bf{ \underline{ \underline{ \blue{Solution}}}}}[/tex]

We are provided with,

Then, Radius = 1.5 cm / 2

By using formula,

⇛ 2πr(r + h)

⇛ 2 × 3.14 × 1.5/2 (1.5/2 + 4.5) cm²

⇛ 2 × 3.14 × 3/4( 5.25) cm²

⇛ 24.7275 cm²

❇ Option B

✤ TSA of the cylinder = 24.7275 cm²

━━━━━━━━━━━━━━━━━━━━

Part A is correct. We have x+15 as the length and x+3 as the width. Convention usually has the width be the smaller of the two.

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

Part B will have you replace x with 8 and simplify

length = x+15 = 8+15 = 23

width = x+3 = 8+3 = 11

the rectangle is 23 yards by 11 yards, so the area is 23*11 = 253 square yards

Answer:

Below

Step-by-step explanation:

As we see the area is expressed as second degree polynomial

We have already a side wich is (x+15)

● x^2 +18x + 45 = w × (x+15)

● w = (x^2 +18x+45)/(x+15)

Using the eucledian division we get:

● w = x+3

Since x^2 +18x +45 = (x+15) × (x+3)

So your answer was right

■■■■■■■■■■■■■■■■■■■■■■■■■■

Let's calculate the dimensions if x= 8 yards

● the length

x+15 = 8+15 = 23 yards

● the width

x+3 = 8 + 3 = 11 yards

● the area

(x+15)×(x+3) = 23 × 11 = 253 yards^2

Answer:

r = 0.046212737

Step-by-step explanation:

A = 14,400 (what your investment originally is)

P = 7,200 (what you want your investment to be)

n = 365 (interest is compounded daily)

t = 15 (15 years)

Plug all of these numbers into the equation, then solve for r

14,400 = 7,200(1 + r/365)^365 · 15

Divide 7,200 on both sides --> 2 = (1 + r/365)^365 · 15

365 · 15 = 5475 --> 2 = (1 + r/365)^5475

5475√(2) = 1 + r/365 (root 5475 both sides to cancel out the exponent)

(5475√(2)) - 1 = r/365 (subtract one from both sides)

((5475√(2)) - 1) · 365 = r (multiply both sides by 365 to isolate r)

Type the left side into the calculator to get r --> 0.046212737.

Hope this helps!

Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

Answer:

-3 = 15+4y

4y = 12

y = 3.......

Answer:

The answer is option 2.

Step-by-step explanation:

First, you have to find the height of the triangle using Cosine Rule, cosθ = adjacent/hypotenuse :

[tex]cos(θ) = \frac{adj.}{hypo.} [/tex]

[tex]θ = 30,adj. = h,hypo = 18[/tex]

[tex] \cos(30) = \frac{h}{18} [/tex]

[tex]18 \cos(30) = h[/tex]

[tex]h = 9 \sqrt{3} \: m[/tex]

Next, you have to find the area of triangle using Sin Rule, Area = 1/2×a×b×sinC where a, b represent the side length of the angle and C is the angle :

[tex]area = \frac{1}{2} \times a \times b \times sin(C)[/tex]

[tex]let \: a = 9 \sqrt{3} ,b = 18,C = 30[/tex]

[tex]area = \frac{1}{2} \times 9 \sqrt{3} \times 18 \times \sin(30) [/tex]

[tex]area = 70.1 \: {m}^{2} \: (near.tenth)[/tex]

Answer:

70.1

Step-by-step explanation:

This is a 30-60-90 right triangle.

The ratio of side lengths is as follows:

short leg   :   long leg   : hypotenuse

    1            :    sqrt(3)     :       2

The short leg is 1/2 the hypotenuse.

The long leg is sqrt(3) times the short leg.

A = bh/2

A = (18/2)(18/2 * sqrt(3))/2

A = 70.1

Answer:

Step-by-step explanation:

You didn't include any graphs, so I can't tell you which one it is. However, the graph of [tex]f(x)=\sqrt{x+5}[/tex] looks like this:

Hope this helps!

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below and this can be determined by using the rules of transformation.

Given :

[tex]\rm f(x) = \sqrt{x+5}[/tex]

The following steps can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex]:

Step 1 - The rules of transformation can be used in order to sketch the graph [tex]\rm f(x) = \sqrt{x+5}[/tex].

Step 2 - First draw the graph of [tex]\sqrt{x}[/tex] which is in the shape of a parabola.

Step 3 - Now, translate the graph in the left direction, So the function of the graph obtained is [tex]\rm f(x) = \sqrt{x+5}[/tex].

The graph of the function [tex]\rm f(x) = \sqrt{x+5}[/tex] is attached below.

For more information, refer to the link given below:

https://brainly.com/question/14375099

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer:

Since it's a 30-60-90 triangle, the hypotenuse should be  

6 √ 3

and the short leg is  

3 √ 3

Step-by-step explanation:

Ratio:

Short side:  1  

Hypotenuse:  2

Long Side:  √ 3

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A bin contains seven red chips, nine green chips, three yellow chips, and six blue chips.

Then the total number of the event will be

Total event = 7 + 9 + 3 + 6

Total event = 25

The probability of getting a yellow chip will be

Favorable event = 3 {yellow chip}

Then the probability will be

P(Y) = 3 / 25

The probability of getting a blue chip will be

Favorable event = 6 {blue chip}

Then the probability will be

P(B) = 6 / 25

Then the probability of drawing a yellow chip, replacing it, and choosing a blue chip will be

P = P(Y) x P(B)

P = (3/25) x (6/25)

P = 18 / 625

The probability of drawing a yellow chip, replacing it, and choosing a blue chip will be 18/625.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Answer:

Step-by-step explanation:

Since g(x) is the inverse of f (x) to find g(x) must first find f-¹(x)

To find f-¹(x) equate f(x) to y

That's

f(x) = y

y = 4x + 12

Next interchange the terms x becomes y and y becomes x

That's

x = 4y + 12

Next make y the subject

4y = x - 12

Divide both sides by 4

Therefore

Hope this helps you

Table Given in the question :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

Answer:

The probability of landing on the open end is greater.

Step-by-step explanation:

Given the experimental probability distribution :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

The experimental probability is the ratio of the number of times an event occurs and the total number of trials.

P(A) = number of times A occurs / total number of trials

Where A is defined event.

COMPARING the probabilities of open and closed events

P(open) = 8 / 20 = 2 / 5

P(closed) = 4 / 20 = 1/5

2/5 > 1/5

P(open) > P(closed)

Answer:

hi :)

Step-by-step explanation:

Y intercept (C)= -5

I think it will help you.

Answer:

80°

Step-by-step explanation:

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

Answer:

I think it is 32 hopes its right

1/2 + 4 ≤ 16

four more = +4

half a number = 1/2

at most means less or greater which is ≤

Answer:

0.5n + 4 ≤ 16

Step-by-step explanation:

add 4 to half of the unknown number (n). It is at most 16 (less than or equal to).

0.5n + 4 ≤ 16

Answer:

y=x+2

Step-by-step explanation:

Since 1 up, 1 down, 1 left, and 1 right would all cancel out so you would still get y=x+2

Answer:

see below

Step-by-step explanation:

will make it simple.

1 unit up : y = |x+2| + 1

1 unit down : y = |x+2| - 1

1 unit to the left : y = |x + 3|

1 unit to the right : y = |x+1|

hope it helps.  if its wrong, then please report it wo we can delete of correct it.

Answer:

1 point should be located before 4 points below C.

1 point should be located before 4 points above B.

1 point should be located at point A.

Answer:

c

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-32=-7n-12+3n

-32=-7n+3n-12

-32=-4n-12

-4n=-32+12

-4n=-20

n=-20/-4

n=5

Answer:

[tex]n=5[/tex]

Step-by-step explanation:

[tex]-32=-7n-12+3n\\\text{Combine Like Terms}\\-32=-7n+3n-12\\-32=-4n-12\\\text{Isolate the Variable}\\-32+12=-4n-12+12\\-20=-4n\\\text{Divide each side by -4}\\n=5[/tex]

Answer:

48

Step-by-step explanation:

a=2

b=3

3a^2+4b^2

3(2)^2+4(3)^2

3(2)(2)+4(3)(3)

3(4)+4(9)

12+36

48

Hope this helps ;) ❤❤❤

Answer:

[tex]y > 125[/tex]

Step-by-step explanation:

[tex]y + \frac{3}{8} > 16 \\ y > 16 - \frac{3}{8} [/tex]

[tex]y > (16 \times 8) - ( \frac{3}{8} \times 8) [/tex]

[tex]y > 128 - 3[/tex]

[tex]y > 125[/tex]

Answer:

I think it is b

Step-by-step explanation: