Consider the sequence 6, 11, 16, 21 . . . . What is the 50th term in this sequence?

Answer:

10.6 cones

Step-by-step explanation:

Given data

h= 4cm

d= 1.5cm

r= d/2= 0.75cm

The expression for the volume of a cone is

V= 1/3πr^2h

substitute

V= 1/3*3.142*(0.75)^2*4

V=  1/3*3.142*2.25

V=1/3*7.0695

V= 2.3565cm^3

Since the volume of 1 cone is 2.4cm^3

She can fill

=25/2.3565

=10.6 cones

About 10.6 cones

Answer:

try 2 if not then try 4

Step-by-step explanation:

N/A

Responder:

24 días

Explicación paso a paso:

Dado que:

Total de páginas = 288

Número de páginas leídas por día = 12

Número de días que se necesitarán para leer el libro completo:

Total de páginas / número de páginas leídas por día

288/12

= 24

Por lo tanto, a María le tomará 24 días leer el libro completo, si lee 12 páginas del libro por día.

Answer:

[tex]10^{-4}[/tex] times 10 micrometers (or [tex]10^{-5}[/tex]) is [tex]10^{-9}[/tex]

Answer:

It's as long as the centimeter

Step-by-step explanation:

doing 0.000001x10,000 gives you .01

If I'm wrong flame me

Answer:

See Below.

Step-by-step explanation:

The first three terms of an A.P is equivalent to the first three terms of a G.P.

We want to show that this is only possible if r = 1 and d = 0.

If a is the initial term and d is the common difference, the A.P. will be:

[tex]a, a+d, \text{ and } a+2d[/tex]

Likewise, for the G.P., if a is the initial term (and it does not equal 0) and r is the common ratio, then our sequence is:

[tex]a, ar,\text{ and } ar^2[/tex]

The second and third terms must be equivalent. Thus:

[tex]a+d=ar\text{ and } a+2d=ar^2[/tex]

We can cancel the d. Multiply the first equation by -2:

[tex]-2a-2d=-2ar[/tex]

We can now add this to the second equation:

[tex](a+2d)+(-2a-2d)=(ar^2)+(-2ar)[/tex]

Simplify:

[tex]-a=ar^2-2ar[/tex]

Now, we can divide both sides by a (we can do this since a is not 0):

[tex]-1=r^2-2r[/tex]

So:

[tex]r^2-2r+1=0[/tex]

Factor:

[tex](r-1)^2=0[/tex]

Thus:

[tex]r=1[/tex]

The first equation tells us that:

[tex]a+d=ar[/tex]

Therefore:

[tex]a+d=a(1)\Rightarrow a+d=a[/tex]

Hence:

[tex]d=0[/tex]

Q.E.D.

Answer:

Triangle  PRT is similar to triangle SRQ

Step-by-step explanation:

AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

one  angle is already given   : angle    RPT congruent to  angle   RSQ

The other is   :   angle    TRP congruent to  angle  SRQ (both triangles share the  same angle)

Triangle PRT is similar to triangle SRQ  (AA postulate)

Answer:

(45*12) + 75 = c

Answer:

( 45 ×12 ) + 75 =c is the answer

Answer:

y intercept=3/2

Step-by-step explanation:

First of all, write it in slope intercept form

y=-1/6x+3/2

y=mx+b

b=y-intercept

y intercept=3/2

x+6y=9

y=0

x+6(0)=9

x=9

Answer:

a. 80 units

b. 482.843 units²

Step-by-step explanation:

First things first, we need to solve for the side of the octagon. We can do so by using Pythagorean Theorem: a² + b² = c² where c is the hypotenuse and a and b are the other two sides.

12² + b² = 13²

144 + b² = 169

b² = 25

b = 5

Now that we know half of the side of the octagon is 5, we know that one side of the octagon is 10.

a. To find perimeter we just add every side together (or since every side is the same size, we multiply by 8)

10 × 8 = 80

b. The formula for finding the area of an octagon is 2(1 + radical 2)a² where a is the length of a side. By plugging in to a calculator we get:

2(1 + radical 2)(10)² = 482.843

Answer:

11 stars

Step-by-step explanation:

From the first statement, we have:

[tex]Carrie = 5 + Zane[/tex]

From the second, we have:

[tex]Zane = 6 + Hugo[/tex]

To get the number of start Carrie has than Hugo:

Substitute 6 + Hugo for Zane in [tex]Carrie = 5 + Zane[/tex]

[tex]Carrie = 5 + 6 + Zane[/tex]

[tex]Carrie = 11 + Zane[/tex]

This means that Carrie has 11 more than Zane

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task:  Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

Answer:

always equal 90 degrees

Step-by-step explanation:

Hey there!

“Complementary Angles” is/are basically TWO (or MORE) angles that has the SUM is 90°

Whereas, “Supplementary Angles” is/are basically TWO (or MORE) angles that has the SUM of 180°

Example of a Complementary Angle:

30° + 40° + 20° = 90°

30° + 40° = 70°

70° + 20° = 90°

90° = 90°

This makes this a COMPLEMENTARY angle because it equals 90°

Example of a supplementary angle

90° + 90° = 180°

This makes this a SUPPLEMENTARY angle because it equals 180°

Good luck on your assignment and enjoy your day!

~Amphitrite1040

Answer: 21 cm is the volume

Step-by-step explanation: multiply 7cm x3 cm

Answer:

Step-by-step explanation:

l = length

b = breadth

We know the length is twice the breadth, therefore l = 2b

We also know that the perimeter p = 60m and can also be expressed as a sum of its sides where p = l + l + b + b = 60 which simplified is:

60 = 2l + 2b

Now we have 2 variables, but thankfully we were given a ratio (l = 2b) relating the two. Substituting 2b in for l gives us:

60 = 2(2b) + 2b = 4b + 2b = 6b

60 = 6b

b = 10 m

Now that we know the breadth we can find the length:

l = 2b → l = 2(10) = 20 → l = 20 m

With a breadth of 10 m and a length of 20 m

Answer:

C

Step-by-step explanation:

Hey There!

The first step of this equation is to find the formula for area of a circle

[tex]A=\pi r^2[/tex]

r = radius

now we just plug in the 36

[tex]36^2=1296\\1296x3.16=4069.44[/tex]

so we can conclude that the answer is C

Answer:

rhombus sides are equal.

7y=4y+21

7y-4y=21

3y=21

y=21/3

y=7

3x=45°(by alternate interior angle)

x=45/3

x=15

y

Answer:

344 m^2

Step-by-step explanation:

Area of the 2 triangles: (2)(1/2)(10)(5)=50

Area of three sides:3(7)(14)=294

294+50=344

Answer:

246

Step-by-step explanation:

Answer:

7.046%

Step-by-step explanation:

100%/x=369/26

100/x×x=(369/26)×x

100=14.19231×x

100/14.192=7.046

Answer:

Kristin will drink 7500 milliliters during the 15 days.

Step-by-step explanation:

Because 0.5 L is 500 mL, multiply that by the time, or 15 days. This will give you an answer of 7500 milliliters.

#'s 9-14

Base info:   40% are red, 30% are white, 20% are blue, and 10% are green

9) 40% chance to get red, 10% chance to get green. 50% chance to get one of either.

10) getting red: 40%

Getting blue: 20%

11) 80%  (100% - 20% = 80%)

1/8 = 12.5%

12) 12.5% chance

13) 25% chance

14) 12.5 x 5 = 62.5  

62.5% chance

Answer:

Step-by-step explanation:

r=4, w=3, b=2, g=1, t=(4+3+2+1)=10

9) P(r or g)=4/10+1/10=5/10= 1/2

10) P(r or b)=4/10+2/10=6/10= 3/5

11) P(!b)=P(r or w or g)=4/10+3/10+1/10=8/10= 4/5

12) There are six numbers and only one six, P(6)= 1/6

13) The only even numbers less than 5 are 2 and four so

P(e<5)=2/6= 1/3

14) The primes on a die are 2,3,5 so three primes out of six numbers

P(!)=3/6= 1/2

15) 2,3,4,6 are multiples of 2 and three

P(2n or 3n)=4/6= 2/3

16) We want a one half probability so

P(W)=(3+x)/(3+4+2+x)=1/2

(3+x)/(9+x)=1/2

2(3+x)=9+x

6+2x=9+x

x=3

So 3 white marbles have to be added.

17) (3+x)/(9+x)=2/3

3(3+x)=2(9+x)

9+3x=18+2x

x=9

So nine whites need to be added.

Answer:

You add up all numbers then divide it by how many numbers.

Step-by-step explanation:

Example. You have 1, 2, 3, 4, 5.

So 1+2+3+4+5

=15

Then 15÷5

So answer would be 3.

Hope this helps.

Answer:

1/12 per bag

Step-by-step explanation:

A Fisherman spent his weekend working on his farmland

He had 1/6 of a bag of soil

He spreads it evenly among his 2 garden beds

Therefore the soil in each garden bed can be calculated as follows

= 1/6 ÷ 2

= 1/6 × 1/2

= 1/12 per bag

Answer: what's the x after 384?

Step-by-step explanation:

Answer:

It will take 4 minutes for 20 gals, 15 for the whole thing.

Step-by-step explanation:

Answer:

4 minutes to lose 20 gallons, and 15 minutes to empty the tank.

Step-by-step explanation:

20 divided by 5, and 75 divided by 5

Answer:

umef leaf ninja the frog held a

Answer:

Ellie gets 18 bananas. your welcome

Answer:

18

Step-by-step explanation:

The 4 part of the ratio refers to Lily's 24 bananas

Divide 24 by 4 to find the value of one part of the ratio

24 ÷ 4 = 6 ← value of 1 part of the ratio, then

3 parts = 3 × 6 = 18

Ellie gets 18 bananas

Answer:

The real answer is D

Step-by-step explanation:

Answer and Step-by-step explanation:

24 goes into 171

7 times, with a remainder of 3.

24 times 7 is equal to 168.

171 minus 168 is 3.

So, 7 is the maximum amount of times 24 (whole number) can go into 171.

#teamtrees #PAW (Plant And Water)