Multiply and simplify. Show work to earn full credit. (4 points) (7x-6)(3x^2-4x+5)

Answer:

14 - 12i

Step-by-step explanation:

Given the complex number a ± bi, then the complex conjugate is

a ∓ bi

Note that the real part a remains unchanged while the sign of the imaginary part is reversed.

Given 14 + 12i then the conjugate is 14 - 12i

Answer:

V = 393.25π ≈ 1234.81 ft³

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

r = 5.5 ft

h = 13 ft

V = π (5.5)² (13)

V = π (30.25)(13)

V = 393.25π ≈ 1234.81 ft³

Answer:

1235.43 ft³

Step-by-step explanation:

Volume of the cylindrical water tank=πr²h

Where r=5.5,h=13

Volume=(3.14)(5.5)²(13)

=(3.14)(30.25)(13)

=1235.43 ft³

Answer:

12 pints is bigger

Explanation: A pint is two cups, so 12 pints would be 24 cups.

The correct answer is that 12 pints is bigger than 6 cups.

To understand why, let's look at the conversion factors between pints and cups. In the United States Customary System, 1 pint is equivalent to 2 cups.

Now, let's calculate the volume of 12 pints in cups:

[tex]\[ 12 \text{ pints} \times \frac{2 \text{ cups}}{1 \text{ pint}} = 24 \text{ cups} \][/tex]

Comparing 24 cups (which is the equivalent of 12 pints) to 6 cups, it is clear that 24 cups is larger than 6 cups. Therefore, 12 pints is bigger than 6 cups.

Answer:

415,000

Step-by-step explanation:

First, find the decimal equivalent of 125%. To do this, divide 125 by 100 or move two decimal places to the right: 125/100 = 1.25

Now multiply the amount of cars sold last year, 332,000, by the percentage decimal, 1.25: 332,000 x 1.25 = 415,000

The car manufacturer sold 415,000 cars this year

Answer:

I Think it is

741.36

Step-by-step explanation:

just add em up stat focused

Answer:

Although I cannot draw a picture, a fraction to represent the whole is 4/4, 1/1, or 1.

Step-by-step explanation:

He should use 886 fluid ounces of soap.

Step-by-step explanation:

Know that 8 fluid ounces make 1 cup.

Now 24 cups need 32 fluid ounces or, 3 fluid ounces of water need 32 fluid ounces of soap.

Thus, by unitary method,

84 ounces of water need 32 × 84 / 3 ounces of soap.

Thus the answer comes to 886 ounces.

The volume of the spherical piece is 288.55 cm³.

Solution:

Diameter of the sphere = 8.2 cm

Radius of the sphere = 8.2 ÷ 2 = 4.1 cm

The value of π = 3.14

Volume of the sphere [tex]=\frac{4}{3} \pi r^{3}[/tex]

                                    [tex]$=\frac{4}{3} \times 3.14 \times(4.1)^{3}[/tex]

                                    [tex]$=\frac{4}{3} \times 3.14 \times68.921[/tex]

                                    = 288.55 cm³

The volume of the spherical piece is 288.55 cm³.

Answer:

They are all odd numbers.

Step-by-step explanation:

Ok so we know that numbers that end with 1,3,5,7 and 9 are odd numbers and all the numbers listed in the question all end with these numbers.

Answer:

54[tex]\pi[/tex] inch^3

Step-by-step explanation:

you have to multiply 6*9 because the actual volume isnt on there. you would have to multiply 54 by 3.14 to get the actual volume, that is just the equation simplified. V=[tex]\pi[/tex]*r^2 *h

For this case we have that by definition, the perimeter of the rectangle is given by:

[tex]P = 2w + 2L[/tex]

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

[tex]L = 6 + w\\P = 48[/tex]

Substituting:

[tex]48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9[/tex]

So, the width of the rectangle is 9 inches

[tex]L = 6 + 9 = 15[/tex]

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

Answer: b is -48

Step-by-step explanation:

-21 = b/3 - 5/1

Cross multiply

b-15= -21 ×3

b-15= -63

b= -63 + 15

b= -48

To cross -check,

-21 = -48/3 -5

-21= -16 -5

Mark as brainliest please.

Answer:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero.

Answer:

x, y = 7, 1

Step-by-step explanation:

x+6y=13 ............ (i)

2x+y=15 ........... (ii)

We will apply substitute method.

From equation (i), we can get,

x+6y=13

or, x = 13 - 6y .......... (iii)

Putting the value of x in equation (ii), we can get,

2x+y=15

or, 2 × (13 - 6y) + y = 15

or, 26 - 12 y + y = 15 [multiplying]

or, -11 y = 15 - 26 [Subtracting 26 from both the sides]

or, -11 y = -11

or, [(-11 y) ÷ (-11)] = [(-11) ÷ (-11)] [Dividing both the sides by -11]

or, y = 1

Therefore, the value of y = 1

Putting y = 1 in equation (iii), we get,

x = 13 - 6y

or, x = 13 - 6 × 1

or, x = 13 - 6

or, x = 7

Therefore, the value of x = 7.

Answer: x, y = 7, 1

EF is 1.98, AB is 16.23 and HI is 12.22

Step-by-step explanation:

Step 1:

In figure 1, given sin 26° = 0.44 and hypotenuse = 4.5. Use trigonometric ratio sin D to find EF.

sin 26° = EF/DF

⇒ 0.44 = EF/4.5

∴ EF = 0.44 × 4.5 = 1.98

Step 2:

In figure 2, given cos 52° = 0.616 and adjacent side (AC) = 10. Use trigonometric ratio cos A to find hypotenuse (AB).

cos 52° = AC/AB

⇒ 0.616 = 10/AB

∴ AB = 10/0.616 = 16.23

Step 3:

In figure 3, given tan 42° = 0.90 and opposite side (GH) = 11. Use trigonometric ratio tan I to find adjacent side (HI).

tan 42° = GH/HI

⇒ 0.90 = 11/HI

∴ HI = 11/0.90 = 12.22

Answer:

1) 1.98 units

2) 16.23 units

3) 12.22 units

Step-by-step explanation:

Q1) sin(26) = EF/ FD

0.44 = EF/4.5

EF = 4.5×0.44 = 1.98

Q2) cos(52) = AC/AB

0.616 = 10/AB

AB = 10/0.616

AB = 16.23

Q3) tan(42) = GH/HI

0.9 = 11/HI

HI = 11/0.9

HI = 12.22

The distance between the two lines,-2x + y = 6 and x = 1/2x - 4, is approximately 4.5 units

To find the distance between two lines, we can use the formula:

Distance = |(Ax + By + C)| / sqrt(A^2 + B^2)

Where A, B, and C are the coefficients of the standard form equation of the first line

and x and y are the coordinates of a point on the second line.

Let's first convert the equations of the lines into the standard form (Ax + By + C = 0):

-2x + y - 6 = 0 --> 2x - y + 6 = 0 (Line 1)

x - 2x/2 - 4 = 0 --> -x + 4 = 0 --> x - 4 = 0 (Line 2)

Now, we can use the formula to find the distance between the two lines:

distance = |(Ax + By + C)| / sqrt(A^2 + B^2)

Let's take a point on Line 2, for example, (4,0). Then:

Distance = |(24 - 10 + 6)| / sqrt(2^2 + (-1)^2)

Distance = |10| / sqrt(4 + 1)

Distance = 10 / sqrt(5)

Distance = 4.472

Distance ≈ 4.5

Hence, the distance is approximately 4.5 units

Learn more on Calculating the distance between two lines here: https://brainly.com/question/13823215

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Answer:

3. 14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Step-by-step explanation:

14, 20, 24, 18, 16, 12, 15, 13, 17, 12, 19

Rearrange data:

12, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24

Min: 12

Max: 24

Median position: (11+1)/2 = 6th value

Median: 16

Q1: 3rd value form the lower end

Q1 = 13

Q3: 3rd value form the upper end

Q3 = 19

Step-by-step explanation:

1. 3x+y+17=0

2.x-y+3=0

Sorry mam I use mental math

Answer: X = —5 and Y = —2

Step-by-step explanation: What we have is a pair of simultaneous equations;

3X + Y = —17 —————-(1)

6X — 6Y = —18 ————(2)

We shall use the substitution method as instructed. Looking at equation (1),

We shall make Y the subject of the equation, hence

Y = —17 —3X

We shall now substitute for the value of Y into equation (2)

6X — 6Y = —18

6X — 6(—17 —3X) = —18

6X + 102 + 18X = —18

By collecting like terms we now have

24X = —18 —102

(Note that when a positive value crosses to the other side of the equation it becomes negative and vice versa)

24X = —120

Divide both sides of the equation by 24

X = —5

Having calculated the value of X as —5, we can now calculate Y as follows

From equation (1)

3X + Y = —17

3(—5) + Y = —17

—15 + Y = —17

Add 15 to both sides of the equation

—15 + 15 + Y = —17 + 15

Y = —2

Therefore, X = —5 and Y = —2

Answer:

Quant. ---- Porcentagem

200 ------------- 100

X ------------------ 40

100X = 8.000

Step-by-step explanation:

Answer:

x =(1+√81)/2=(1+9)/2= 5.000

or:

x =(1-√81)/2=(1-9)/2= -4.000

Step-by-step explanation:

there now can i get brainliest

Answer:

The metric system of measurement, the International system of units (SI Units), is widely used for quantitative measurements of matter in science and in most countries. ... Any units used in other system of measurement (i.e. not included in the SI system of measurement), will be referred to as non-SI units.

Wouldn't mind if you gave me Brainiest.

Answer:

x = -13 and y = -4

Step-by-step explanation:

-4x + 8y = 20 ................... eqn 1

2x + 2y = -30 ................... eqn 2

Step 1: Multiply eqn 1 by 2 and eqn 2 by 4

(-4x + 8y = 20) × 2

(2x + 2y = -30) × 4

we will have

-8x + 16y = 40 ....................eqn 3

8x + 4y = - 120 .................. eqn 4

Step 2: Add eqn 3 and 4 together

20y = - 80

Step 3: divide all through by 20

y = -80/20

y = -4

Step 4: Substitute -4 for y in eqn 1

-4x + 8(-4) = 20

-4x - 32 = 20

-4x = 20 + 32

-4x = 52

Step 5: Divide both sides by -4

x = 52/-4

x = -13

Answer:

 {x,y} = {-35/3,-10/3}

Step-by-step explanation:

 -4x+8y=20;2x+2-30  

System of Linear Equations entered :

  [1] -4x + 8y = 20

  [2] 2x + 2y = -30

Solve by Substitution :

// Solve equation [2] for the variable  y 

[2] 2y = -2x - 30

[2] y = -x - 15

// Plug this in for variable  y  in equation [1]

  [1] -4x + 8•(-x -15) = 20

  [1] -12x = 140

// Solve equation [1] for the variable  x 

  [1] 12x = - 140 

  [1] x = - 35/3 

// By now we know this much :

  x = -35/3

  y = -x-15

// Use the  x  value to solve for  y 

  y = -(-35/3)-15 = -10/3 

Solution :

 {x,y} = {-35/3,-10/3} 

Answer:

This relation represent y as a function of x, because each value of x is associated with a single value of y

Step-by-step explanation:

we know that

A function is a relation from a set of inputs (x values) to a set of possible outputs (y values) where each input is related to exactly one output

we have the relation

[tex](3, 4), (4, 3), (6, 3), (7, 8), (5, 4)[/tex]

This relation represent y as a function of x, because each value of x is associated with a single value of y

Answer:

m = 7.8

Step-by-step explanation:

Its the slope. Its the number next to the x.

Answer:

B.90

Step-by-step explanation:

As there are 10 people and choosing chairperson occurs first as an independent event

=> The number of possible chairperson is 10.

After the chairperson is chosen, the number of names left in the hat is 9

=> There are 9 possible vice-chair.

However, the names left in the hat depends on which name is elected as chairperson

=> Choosing vice-chair is a an event dependent on the first event.

=> The number of possible combinations of chair and vice chair would be:

9x10 = 90

Answer:

13 8/9

Step-by-step explanation:

25*(5/9) is equal to (25*5)/9

25*5 = 125 and 9 goes into 125 13 times with a remainder of 8

The solution would be:

13 8/9

Answer:

13 8/9

Step-by-step explanation:

5/9 x 25

Multiply through

125/9

13 8/9

Answer:

d=[tex]\sqrt{x} (43-23)^2+(14-17)^2[/tex]

Answer=  20.224

Step-by-step explanation:

Answer:

thats teh answer

Step-by-step explanation:

760 sq feet

Step-by-step explanation:

Step 1 :

The sides of the given parallelogram are 60 feet and 40 feet and the height is 38 feet

The length of the rectangular walkway = 38 ft

Width of the walkway = 20 ft

The roses are planted in the park (parallelogram) except in the walkways 's area ( rectangle)

Hence the total area where the roses are planted is the park 's area (parallelogram) - the walkway's area ( rectangle.)

Step 2 :

Area of the park (parallelogram ) = b * h = 40 * 38 = 1520 sq ft

Area of the walkway (rectangle) = l * b = 38 * 20 = 760 sq ft

Area of the park where roses will be planted = 1520 - 760 = 760 sq ft.