F(x) = -x² + 7x - 12
One factor of this is (x - 4). Find the other factor.

Answer:

103.686cm^2

Step-by-step explanation:

Given data

Outer diameter= 34cm

Outer Radius= 34/2= 17cm

Area= πr^2

Area of outer ring=  3.142*17^2

Area of outer ring=  3.142*289

Area of outer ring=  908.038cm^2

inner diameter= 32cm

inner Radius= 32/2= 16cm

Area= πr^2

Area of outer ring=  3.142*16^2

Area of outer ring=  3.142*256

Area of outer ring=  804.352cm^2

Hence the radius of the ring is

=Area of outer - Area of inner

=908.038-804.352

=103.686cm^2

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 4

substitute -4 in place of x

f(-4) = 3*-4 + 4

f(-4) = -12 + 4

f(-4) = -8

Answer:

Step-by-step explanation:

radius=diameter/2

=36/2

=18 inches

circumference=2πr

=2*3.14*18

=113.04 inches

Answer:

lateral surface area(As)=2πrh or

=PH

Step-by-step explanation:

hope this helps :)

Answer:

Area of the rectangle     = 3x² +2x-1

Perimeter of the rectangle   = 8x

Step-by-step explanation:

Given

length = (3x - 1)

width = (x + 1)

Area of the rectangle= length * breadth

Area of the rectangle = (3x - 1)  (x + 1)

                                      = 3x²+ 3x - x-1

                                        = 3x² +2x-1

Perimeter of the rectangle = 2( length + breadth)

                                         = 2[(3x - 1) + (x + 1)]

                                             = 2[3x - 1 + x + 1]

                                          = 2[ 4x]

                                             = 8x

Answer:

Step-by-step explanation:

1. When two chords intersect each other inside a circle, the products of their segments are equal. ... One chord is cut into two line segments A and B. The other into the segments C and D. This theorem states that A×B is always equal to C×D no matter where the chords are.

2. If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle . In the figure, m∠1=12(m⌢QR+m⌢PS) .

3. The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Answer:

D i think sorry if it's wrong

Step-by-step explanation:

(x + 3)(x − 2) in standard form

x2+x-6

Answer:

Step-by-step explanation:

All this question is asking you to do is distribute through the parenthesis to simplify. Doing that gives us

f(n) = 7 - 3n + 3 and

f(n) = 10 - 3n or

f(n) = -3n + 10, choice D.

The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10 thus option (D) is correct.

An arrangement known as a function connects inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

As per the given,

a_n = 7 - 3(n - 1)

f(n) = 7 - 3n + 3

f(n) = -3n + 10

Hence "The representation of the function of the given arithmetic sequence 7 - 3(n - 1) is f(n) = -3n + 10".

For more about the function,

brainly.com/question/23712366

#SPJ2

[tex] \huge\mathfrak{ \underline{Answer : }}[/tex]

The equation of line is

[tex] \hookrightarrow \: y= 4x + 7 [/tex]

let's plug the value of " x as 0 " to find the coordinate of y at the " x - intercept "

therefore, the coordinates of x- intercept are :

[tex] \large \boxed{(0,7)}[/tex]

now, let's plug the value of " y as 0 " to find the coordinate of x at the " y - intercept "

therefore, the coordinates of y - intercept are :

[tex] \boxed{ \bigg( \frac{ - 7}{4} ,0 \bigg)}[/tex]

___________________________________

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

Italy - 6am

Taiwan - 1pm

Peru-12am

Turkey-8am

Laos-12pm

Step-by-step explanation:

Answer:

Italy is at 6am

Taiwan is at 1pm

Peru is at 12am

Turkey is at 8am

Laos is at 12pm

Step-by-step explanation:

Answer:

30 cubic feet

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Height of cone (h) = 10 feet

Base surface area = π[tex]r^{2}[/tex] =  9 sq. feet

So we can calculate the volume of cone by using following formula,

volume of cone = (1/3)π[tex]r^{2}[/tex]h

By putting the value in the formula, we get

Volume of cone = (1/3) 9 × 10

= 3 × 10

= 30 cubic feet

Answer:

1809.6

Step-by-step explanation:

Volume of a cylinder

V= pie* r ^2*h

Answer:

v = 1,809.56

Step-by-step explanation:

Formula=

V = Pi (3.14) r^2 h

pi 6^2·16

Answer:

use the formula volume =π × r square × h

Step-by-step explanation:

Hope this helps :)

Answer:

4374

Step-by-step explanation:

Since, we are given table for x and y values

and table for average rate of changes

we can see the pattern of average rate of change

average rate of change for 5 to 6 is three times average rate of change for 4 to 5

but we have to find

average rate of change for 7 to 8

so, using same pattern

average rate of change for 6 to 7 is three times average rate of change for 5 to 6

average rate of change for 7 to 8 is 3*3( average rate of change for 5 to 6)

so, we can plug value

average rate of change for 7 to 8 is 3*3*486

average rate of change for 7 to 8 is 4374

Given:

Total cheese = 12 pound

Cheese in each package = [tex]\dfrac{1}{2}[/tex] pounds

To find:

The number of cheese packages.

Solution:

We need to divide the total amount of cheese by quantity of cheese in each package to find the the number of cheese packages.

[tex]\text{Number of cheese packages}=\dfrac{\text{Total cheese}}{\text{Cheese in each package}}[/tex]

[tex]\text{Number of cheese packages}=\dfrac{12}{\dfrac{1}{2}}[/tex]

[tex]\text{Number of cheese packages}=12\times \dfrac{2}{1}[/tex]

[tex]\text{Number of cheese packages}=24[/tex]

Therefore, there are 24 number of cheese packages.

Answer:

[tex]\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}[/tex]

Step-by-step explanation:

In any triangle, the Law of Sines states that the proportion of the sine of each angle and its opposite side is maintained throughout all 3 angles and their corresponding sides of a triangle:

[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]

Thus, we have [tex]\implies \boxed{\text{B. }\frac{\sin 31^{\circ}}{9.3}=\frac{\sin 85^{\circ}}{b}}[/tex]

Answer:

7

Step-by-step explanation:

each way from 10 to 7 is 3 and 4 to 7 is 4

Answer:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Step-by-step explanation:

We proceed to demonstrate the transformation from the line A to line B:

1) [tex]y = x + 2[/tex] Given.

2) [tex]y = 3\cdot x + 6[/tex] Vertical dilation.

3) [tex]y = 3\cdot x +1[/tex] Vertical shift of the line in 5 units in the -y direction/Result

Hence, the answer is:

The slope is steeper and the line is shifted downwards.

The y-intercept is shifted downwards.

Answer:

22 ft³

Step-by-step explanation:

Applying,

V = 1/3(Ah).................... Equation 1

Where V = Volume of the pyramid, A = Area of the base, h = height of the pyramid.

But,

A = 1/2bl................ Equation 2

Where b = base of the triangle. l = height of the triangle.

Substitute equation 2 into equation 1

V = 1/6(blh).............. Equation 3

From the diagram,

Given: b = 3 ft, l = 4 ft, h = 11 ft

Substitute these values into equation 3

V = 1/6(3×4×11)

V = 1/6(132)

V = 22 ft³

Area of square A = 16 cm

side of square A a1 = 4cm

side of square A = 2/3(2/3a3)

a1= 4/9a3

a3 = 9cm

Area of square C = 9×9= 81 Cm²

Answer: The answer to this is 7.

H² = B² + P²

(25)² = (24)² + p²

625 = 576 + p²

p² = 49

p = 7

Answer:

It means goes up by twos for example 2,4,6,8 all those numbers increase by 2s.

Step-by-step explanation:

Answer:

5.50 Each

Step-by-step explanation:

Answer:

Step-by-step explanation:

3P + 4N = 28

6P+ 8N = 56

4P +8N  52

2P     = 4

P = 4/2 = 2  = $2

3(2)+4N = 28

4N = 28-6=22

N = 22/4 = 5.5= $5.50= cost of one notebook

Answer:

c and d

Step-by-step explanation:

Answer:

-1.2

Step-by-step explanation:

3n + 5 = 1/2(11n + 16)

3n + 5 = 5.5n + 8

5 = 2.5n + 8

-3 = 2.5n

-3/2.5 = n

-1.2 = n

Hope this helps!

Answer:

[tex]n=-1.2[/tex]

Step-by-step explanation:

First, solve both sides of the equation:

[tex]3n+5=\frac{1}{2} (11n+16)[/tex]

[tex]3n+5=(\frac{1}{2} )(11n)+(\frac{1}{2} )(16)[/tex] (Distribute)

[tex]3n+5=\frac{11}{2} n+8[/tex]

Then, subtract 11/2 n from both sides:

[tex]3n+5-\frac{11}{2}n=\frac{11}{2} n+8-\frac{11}{2} n[/tex]

[tex]\frac{-5}{2}n+5=8[/tex]

Now, subtract 5 from both the sides:

[tex]\frac{-5}{2} +5-5=8-5[/tex]

[tex]\frac{-5}{2} n=3[/tex]

For the last step, multiply both the sides by 2 / -5

[tex](\frac{2}{-5} )*(\frac{-5}{2} )=(\frac{2}{-5} )*(3)[/tex]

[tex]n=\frac{-6}{5}[/tex]

Convert it to decimal:

[tex]n=-1.2[/tex]

Answer:

(0,3)

Step-by-step explanation:

In this case the vertex is the maximum point of the parabola

vertex : (0,3)

Answer:

Two hundred would be appropriate for a random sample.