A company makes cylindrical crackers that have a cylindrical hole in the middle.

The diameter of the entire cracker is 16\text{ mm}16 mm16, start text, space, m, m, end text, the diameter of the hole is 8\text{ mm}8 mm8, start text, space, m, m, end text, and the cracker is 18\text{ mm}18 mm18, start text, space, m, m, end text long.
What is the volume of the material used in each cracker?
Round to the nearest cubic millimeter.

Answer:

the answer is "D"

(2x+1)(x+3)(x-3)  //// -3,-.5,3

Step-by-step explanation:

Factored Form:  y= (2x+1)(x+3)(x-3)    

Answer:

D

Step-by-step explanation:

[tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex]  is factored into: [tex]f(x)= (2x+1)(x+3)(x-3)[/tex]

That takes out the choices B and C.

The roots are -0.5, 3, and -3.

Therefore, the answer is D.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:

f(g(4))=79

Step-by-step explanation:

given:

f(x) = 4x + 3

g(x) = 22 – 3

g(x) = 19

the x in parentheses represents x's value. if it is just x then example f(x)=3x would be 3x. if f(x) was f(2)=3x, then x would be 2 and f(2)=3x would be 3*2=6

f(g(4))

first solve g(4)

g(x) = 19

g(4)=19     because there are no x

then substitute

f(g(4))

f(19)

f(19) = 4x + 3

all x become 19

f(19) = 4(19) + 3

       =76+3

        =79

hope this helps.

Answer:

A. The median does not change.

Step-by-step explanation:

Original data set,

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8  

Median is the middle number

2,2, 4, 5,     5, 6,6, 8  

It is between the two 5's

(5+5)/2 = 10/2 = 5

New data set

Put the numbers in order from smallest to largest

2,2, 4, 5, 5, 6,6, 8,10  

Median is the middle number

2,2, 4, 5,     5,    6,6, 8,10  

The middle number is 5

Answer:

The answer is A

Step-by-step explanation:

Answer:

(x – 3)^2+ (y – 2)^2 = r^2

Step-by-step explanation:

The co-ordinates of the center=(3,2)

The formula for the equation of a circle is (x – h)^2+ (y – k)^2 = r^2,

(h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle.

Therefore, (x – h)^2+ (y – k)^2 = r^2

                 =(x – 3)^2+ (y – 2)^2 = r^2

You can find r^2the equation.

Answer:

Since the triangle is a right angled triangle, one of the angles is 90°. In the right angled triangle, the acute angles are in the ratio 4:5. Let the measures of the acute angles of the triangle in degrees be 4k and 5k, where k is a constant.

Step-by-step explanation:

hope it helps.

Answer:

40and50

Step-by-step explanation:

let the acute angles be 4x and 5x then,

4x+5x+90=180 [sum of all angles of a right angled triangle]

or,9x=180-90

or,x=90/9

x=10

4x=4×10=40

5x=5×10=50

[tex]\\ \sf\longmapsto 2(3x-7)+4(3x+2)=6(5x+9)+3[/tex]

[tex]\\ \sf\longmapsto 6x-14+12x+8=30x+54+3[/tex]

[tex]\\ \sf\longmapsto 6x+12x-14+8=30x+57[/tex]

[tex]\\ \sf\longmapsto 18x+6=30x+57[/tex]

[tex]\\ \sf\longmapsto 30x-18x=6-57[/tex]

[tex]\\ \sf\longmapsto 12x=51[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{51}{12}[/tex]

Answer:

y=(3/7)*x+52/7

Step-by-step explanation:

The slope of the line will be (3/7). The equation of line will be y=(3/7)*x+52/7

Answer:

B

Step-by-step explanation:

The answer can be obtained by simplifying the whole fraction

Answer: 1,000 cm^3

Step-by-step explanation:

10*10*10=1,000 cm^3

Answer:

[tex]\sqrt{280}[/tex] = 2[tex]\sqrt{70}[/tex]

37^2 = 1369

33^2 =1089

1369-1089 = 280

Step-by-step explanation:

Answer:

1051.9 minutes

Step-by-step explanation:

16 games at 58.35 minutes =

16* 58.35 =933.6 minutes

2 playoffs at 59.15

2 * 59.15 = 118.3 minutes

Add them together

933.6+118.3 =1051.9 minutes

Answer:

the answer is 1051.9 minutes

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Answer:

[tex]cos49 = \frac{26}{x} \\ x = 39.6305[/tex]

9514 1404 393

Answer:

  π = 2A/r²

Step-by-step explanation:

Multiply by the inverse of the coefficient of π.

  A = π(r²/2)

  π = 2A/r²

Answer:

9

Step-by-step explanation:

Let the unknown number be x

Sum means add

7 + 3x = 34

Subtract 7 from each side

7+3x-7 = 34-7

3x = 27

Divide by 3

3x/3 = 27/3

x = 9

Answer:

70.908 is greater than 7.908 .

I hope your day goes nice

Answer:

both are different because of different placement of point.

The answer is prime! I hope this helps you out!

Answer:

23 is a prime number. Reason: Prime number are those numbers which are divisible by 1 and itself. Example: 5 is divisible by 1 and 5 only.

It will take Fred 42 minutes to type and spell check 60 pages.

Given the following data;

To find how long it takes him to type and spell check 60 pages;

We would use direct proportion to express the work described and solve for the unknown variable (time).

[tex]9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages[/tex]

Cross-multiplying, we have;

[tex]9[/tex] × [tex]60[/tex] [tex]= 13[/tex] × [tex]X[/tex]

[tex]540 = 13X\\\\X = \frac{540}{13}[/tex]

X = 41.54 ≈ 42 minutes

Therefore, it will take Fred 42 minutes to type and spell check 60 pages.

Find more information: https://brainly.com/question/89674

Answer:

Step-by-step explanation:

3r(2r^2 - 5)

6r^(2 + 1) - 5*3r

6r^3 - 15r

The equivalent resistance of the network shown is: [tex]R_{eq}=16.463\Ohm[/tex]

So, first of all, we can start by determining what each of the resistances is equal to. In this case we can start by saying that [tex]R_{1}=11R_{11}[/tex] This means that:

[tex]R_{1}=11(3\Ohm)[/tex]

Therefore:

[tex]R_{1}=33\Ohm[/tex]

We can now use this value to find the value of the other resistances. The given condition for the resistances can be represented with the following formula:

[tex]R_{n}=\frac{R_{1}}{n}[/tex]

so:

[tex]R_{2}=\frac{R_{1}}{2}=\frac{33}{2}\Ohm[/tex]

[tex]R_{3}=\frac{R_{1}}{3}=\frac{33}{3}\Ohm=11 \Ohm[/tex]

[tex]R_{4}=\frac{R_{1}}{4}=\frac{33}{4}\Ohm[/tex]

[tex]R_{5}=\frac{R_{1}}{5}=\frac{33}{5}\Ohm[/tex]

[tex]R_{6}=\frac{R_{1}}{6}=\frac{33}{6}\Ohm=\frac{11}{2}\Ohm[/tex]

[tex]R_{7}=\frac{R_{1}}{7}=\frac{33}{7}\Ohm[/tex]

[tex]R_{8}=\frac{R_{1}}{8}=\frac{33}{8}\Ohm[/tex]

[tex]R_{9}=\frac{R_{1}}{9}=\frac{33}{9}\Ohm=\frac{11}{3}\Ohm[/tex]

[tex]R_{10}=\frac{R_{1}}{10}=\frac{33}{10}\Ohm[/tex]

[tex]R_{11}=3\Ohm[/tex]

So now that we know what each resistance is equal to, we can go ahead and analyze the circuit.

In this case we can see that [tex]R_{10}[/tex] and [tex]R_{11}[/tex] are parallel, so we can calculate their equivalent resistance.

[tex]R_{1011}=\frac{R_{10}R_{11}}{R_{10}+R_{11}}[/tex]

Which yields:

[tex]R_{1011}=\frac{(\frac{33}{10}\Ohm)(3\Ohm)}{\frac{33}{10}\Ohm+3\Ohm}[/tex]

[tex]R_{1011}=\frac{11}{7}\Ohm[/tex]

Now, [tex]R_{8}[/tex], [tex]R_{9}[/tex] and [tex]R_{1011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:

[tex]R_{891011}=R_{8}+R_{9}+R_{1011}[/tex]

[tex]R_{891011}=\frac{33}{8}+\frac{11}{3}+\frac{11}{7}[/tex]

[tex]R_{891011}=\frac{1573}{168}\Ohm[/tex]

Now,  we can see that [tex]R_{7}[/tex] and [tex]R_{891011}[/tex] are parallel, so we can calculate their equivalent resistance.

[tex]R_{7891011}=\frac{R_{7}R_{891011}}{R_{7}+R_{891011}}[/tex]

Which yields:

[tex]R_{7891011}=\frac{(\frac{33}{7}\Ohm)(\frac{1573}{168})}{\frac{33}{7}\Ohm+\frac{1573}{168}\Ohm}[/tex]

[tex]R_{7891011}=\frac{4719}{1505}\Ohm[/tex]

Now, [tex]R_{5}[/tex], [tex]R_{6}[/tex] and [tex]R_{7891011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:

[tex]R_{567891011}=R_{5}+R_{6}+R_{7891011}[/tex]

[tex]R_{567891011}=\frac{33}{5}\Ohm+\frac{11}{2}\Ohm+\frac{4719}{1505}\Ohm[/tex]

[tex]R_{567891011}=15.236\Ohm[/tex]

Next,  we can see that [tex]R_{4}[/tex] and [tex]R_{567891011}[/tex] are parallel, so we can calculate their equivalent resistance.

[tex]R_{4567891011}=\frac{R_{4}R_{567891011}}{R_{4}+R_{567891011}}[/tex]

Which yields:

[tex]R_{4567891011}=\frac{(\frac{33}{4}\Ohm)(15.236\Ohm)}{\frac{33}{4}\Ohm+15.236\Ohm}[/tex]

[tex]R_{4567891011}=5.352\Ohm[/tex]

Now, [tex]R_{2}[/tex], [tex]R_{3}[/tex] and [tex]R_{4567891011}[/tex] are connected in series, so we can calculate their equivalent resistance like this:

[tex]R_{234567891011}=R_{2}+R_{3}+R_{4567891011}[/tex]

[tex]R_{234567891011}=\frac{33}{2}\Ohm+11\Ohm+5.352\Ohm[/tex]

[tex]R_{234567891011}=32.852\Ohm[/tex]

Finally, we can see that [tex]R_{1}[/tex] and [tex]R_{234567891011}[/tex] are parallel, so we can calculate their equivalent resistance.

[tex]R_{eq}=\frac{R_{1}R_{234567891011}}{R_{1}+R_{234567891011}}[/tex]

Which yields:

[tex]R_{eq}=\frac{(33\Ohm)(32.852\Ohm)}{33\Ohm+32.852\Ohm}[/tex]

[tex]R_{eq}=16.463\Ohm[/tex]

See attached picture for images on how to reduce the circuit.

You can find further information in the following link.

https://brainly.com/question/21538325?referrer=searchResults

Answer:

[tex]f(t)=6(1.12^t)[/tex]

Step-by-step explanation:

every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t

Answer:

it's very simple maybe it's in ur book?

Answer:

0

2

-1

Step-by-step explanation:

from f(0) we find that

y = mx - 1

from f(-1) we find that the equation is

y = -3x - 1

1)

inverse f(x) :

x = -3y - 1

y = -(x + 1) / 3           x = -1

y = -(-1 + 1) / 3

y = 0

2)

y also equal to 0 since x = -1

3)

f^-1(2) = -(2+1) / 3

          = -3/3

          = -1

f(-1) =  2

Answer:

y=-2x-1

Step-by-step explanation:

The slope is - 2. The equation is y=-2x-1

Sol-1

[tex]\\ \sf\longmapsto |y-12|=21[/tex]

[tex]\\ \sf\longmapsto y+12=21[/tex]

[tex]\\ \sf\longmapsto y=21-12[/tex]

[tex]\\ \sf\longmapsto y=9[/tex]

Sol:-2

[tex]\\ \sf\longmapsto y-12=21[/tex]

[tex]\\ \sf\longmapsto y=21+12[/tex]

[tex]\\ \sf\longmapsto y=33[/tex]

Step-by-step explanation:

9) let number=x

Four times a number=4x

Condition:

4x+5=32

10) square of number=x²

Condition:

x²-4=12

11)

Condition:

3(x+4)=20

Note:if you need to know any question please let me know.

Answer:

4 i believe that's the answer

9514 1404 393

Answer:

  $2150

Step-by-step explanation:

The tax is 7.5% of the price, so is ...

  $2000 × 0.075 = $150

The total cost is the price with tax added:

  $2000 +150 = $2150