Solve for x in the equation x2 -8x+41=0.
X=-4+ 37i
X = -4 - 5i
X = 4+ 37i

Answer:

Step-by-step explanation:

First you have to make it into a fraction, then multiply it by 100 :

Q1.

[tex]0.47 = \frac{47}{100} [/tex]

[tex] \frac{47}{100} \times 100 = 47[/tex]

Q2.

[tex]0.98 = \frac{98}{100} [/tex]

[tex] \frac{98}{100} \times 100 = 98[/tex]

Q3.

[tex]0.25 = \frac{25}{100} [/tex]

[tex] \frac{25}{100} \times 100 = 25[/tex]

Answer:

14x+2

Step-by-step explanation:

9x+5x+2

14x+2

5 / 14

if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

Answer:

The second figure is rhombus but the first figure is square

Answer:

A. a cone with a volume of 32 cubic feet

Step-by-step explanation:

Answer:

Solid formed will be a CONE

Radius of the cone = 3 units

Step-by-step explanation:

Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).

Given triangle is a right triangle.

When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.

This cone will have the radius = BC

Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

                              = [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]

                              = 3

Therefore, radius of the cone = 3 units

Answer:

D

Step-by-step explanation:

The point is on 4 so it cannot be A or B, and it is a closed circle not an open circle so it cannot be C.

Answer:

x≥4

Step-by-step explanation:

There is a closed circle at 4  which means there is an equal to sign and the lines goes to the right which means greater than

x≥4

Answer:

D

Step-by-step explanation:

A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:

5y = 4x + 5

5y - 4x = 5.

Answer:

It's C I THINK but it might be D.

Step-by-step explanation:

Answer:

D, "I will pay $25 for this book."

Step-by-step explanation

Answer:

x = 6

Step-by-step explanation:

4x-1=2x+11

Subtract 2x from each side

4x-2x-1=2x-2x+11

2x-1 =11

Add 1 to each side

2x-1+1 = 11+1

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

Answer:

Step-by-step explanation:

1)

m=(y2-y1)/(x2-x1)

m=(9-0)/(7-4)

m=9/3

m=3

2)

m=(y2-y1)/(x2-x1)

m=(4-2)/(6-9)

m=2/(-3)

m=-2/3

3)

m=(y2-y1)/(x2-x1)

m=(3-(-1))/4-4)

m=4/0

m=undefined

(vertical line)

Answer:  

The constant a is the scale factor on the parabola; positive a makes a CUP (concave up), which is the usual orientation.  Negative a makes an upside-down parabola.  Big a (in absolute value) makes a skinny parabola, small a a wider one.

r and s are the zeros of the quadratic function, the values of x that give y=0.

Answer:

a , r, s , x all are variables

Answer:

Step-by-step explanation:

x ≥ 2800

12*75=900

900< x

Answer:

2(n+3)-6

n=0

Step-by-step explanation:

2(3+n)-6=

Simplifying

2(3 + n) + -6 = 0

(3 * 2 + n * 2) + -6 = 0

(6 + 2n) + -6 = 0

Reorder the terms:

6 + -6 + 2n = 0

Combine like terms: 6 + -6 = 0

0 + 2n = 0

2n = 0

Solving

2n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Divide each side by '2'.

n = 0

Simplifying

n = 0

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

Answer:

1

Step-by-step explanation:

Anything to the power of zero is one

Answer:3/8

Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.

Answer:

1/2 * 3/4

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

6xa is 6a, just like how 2xa is 2a as shown

Answer:

71% = P

Step-by-step explanation:

500/700 = P/100

500(100) =700p

50,000/700 = 700p/700

P=71%

The percent increase in enrollment is, 71.43%

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.

Now,

Increased students = 1200 - 700

                              = 500

Hence, The increased percent is,

⇒ 500 / 700 × 100

⇒ 71.43%

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

Answer:

Here is the mpg for each 6 cylinder:

(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)

i : between 20-24 = 9/10

ii between 25-29 = 0/10

iii at least 30 mpg = 1/10

c- 38, 28,25,26,24,25

d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.

Answer:

[tex] - 12[/tex]

Step-by-step explanation:

[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]

Answer:

6IMRYUr5yt

Step-by-step explanation:

rfuiyrbfbnggrnteetS32

The vertex of angle is the middle letter.

E is the vertex so the answers are:

A and C

Answer:

FED and DEF

Step-by-step explanation:

vertex is the middle letter

Answer:

Your realized income is an estamated $2876.81 per month

Step-by-step explanation:

36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81

Answer:

D) 4

Step-by-step explanation:

To start with we can see that on all the line there are little arrows on the end which means that the line continues forever.

C and B are acute angle because we can eyeball that they are less then 90 degrees.

A is most likely to be a right angle because their are two perpendicular straight lines.

D is the correct answer because as I said the lines continue forever. So in that case both lines are not perpendicular or less than 90º.

Answer:

D

Step-by-step explanation:

Answer:

-16/3 = x

Step-by-step explanation:

3(x – 2) + 4x = 10(x + 1)

Distribute

3x -6 +4x = 10x+10

Combine like terms

7x-6 = 10x+10

Subtract 7x from each side

-6 = 3x+10

Subtract 10 from each side

-16 = 3x

Divide by 3

-16/3 = 3x/3

-16/3 = x

Answer:

x = -16/3

Step-by-step explanation:

All work is in the image below!

Answer:

the mode is 4

Step-by-step explanation:

the 4 appears more than the other numbers

Answer:

4

Step-by-step explanation:

Mode = Number shown the most.

Answer:

The size of angle PQR is 150°

Step-by-step explanation:

Lets explain how to solve the problem

- A polygon is regular when all its angles are equal and all its sides

 are equal

- The measure of each interior angle an any regular polygon

  = , where n is the number of its angles or its sides

∵ PQ and QR are two sides of a regular 12 sided polygon

∴ Q is one of its vertex

- We need to find the size of angle PQR

∵ Angle PQR is an interior angle in the regular 12 sided polygon

∴ n = 12

Use the rule above to find the size of the angle PQR

∵ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of ∠PQR =

∴ The size of angle PQR = 150°

* The size of angle PQR is 150°