143cups + 1 1/3 cups

The 15th term of the geometric progression is 9,565,94.

A geometric progression can be expressed as an = a1rn-1 for some a1 and r. You are told that a2 * a4 = 2a5 and a1 + a2 + a3 + a4 = 80.

From the first equation, a2 = a1 r, a4 = a1 r3, and a5 = a1 r4. This tells us that

a1 r a1 r3 = 2 a1 r4

The r's and one a1 cancel leaving a1 = 2.

Now, plugging similarly into a1 + a2 + a3 + a4 = 80,

2 + 2r + 2r2 + 2r3 = 80

r3 + r2 + r + 1 = 40

In general, the easiest way to solve a cubic is by graphing, but here you know the answer will be a small integer, so just try a few. If we try r=3, we get 27 + 9 + 3 + 1 = 40 so r = 3.

So the geometric sequence here is an = 2 3n-1. The 15th term is then:

a15 = 2*3^14

a15 = 9,565,938.

Full question:

A G.P, the product of the 2nd and the 4th term is double the 5th term, and the sum of the first 4th terms is 80. find the 15th term.

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Answer:

The second one: sqrt 2 - 1

Step-by-step explanation:

Answer:

B. [tex]\sqrt{2} -1[/tex]

Step-by-step explanation:

Answer:

(5, -3)

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Rate (r) = 8% =. 0.08

Period (t) = 25 years

Yearly withdrawal = cashflow = P= $30,000

Using the present value formula (PV) :

Present Value (PV) = P[(1 - (1 + r)^-n) / r]

PV = 30000((1 - (1 + 0.08)^-25) / 0.08)

PV = $320,243.29

B.) Total amount pulled out :

Yearly withdrawal * number of years

$25000 * 25 = 625,000

C.)

Interest :

$625000 - $320,243.29 = $304,756.71

Answer:

y=2x-10

Step-by-step explanation:

Hope this helps   (:

Answer:

see below

Step-by-step explanation:

We can use proportions to solve

$8.25           x

------------- = ------------

3 cones       2 cones

Using cross products

8.25 * 2 = 3x

16.50 = 3x

Divide by 3

16.50 /3 = x

5.50 =x

2 cones will cost 5.50

Esta questão está completa

Pergunta completa

Gente pelo amor de Deus, qual é a responsta dessa questão: "Sendo a área de um retângulo fixado em 36cm². Observa-se na tabela a seguir, algumas possibilidades de medidas para o comprimento e sua respectiva largura.

Comprimento(c) | Largura (l)

18 | 2

12 | 3

9 | 4

6 | 6

Têm-se a que, neste caso, a sentença algébrica que relaciona o comprimento (c), em centímetros, com a largura (I) é:

A) c = 36/l

B) c = 45 + 15l

C) 36 = 2c + 2I

D) I = 36 - c

Answer:

A) c = 36/l

Step-by-step explanation:

A fórmula para a área de um retângulo é dada como Comprimento × Largura ou Comprimento × Respiração

A área do retângulo acima é fornecida como 36cm²

= 36cm² = Comprimento × Largura

36cm² = c × l

Portanto, a sentença algébrica que relaciona o comprimento (c), em correspondência, com a largura (I) é

c = 36 / l

Portanto, a resposta correta = opção A)

Answer:

30 miles per hour.

Step-by-step explanation:

Answer:

The speed of the object is 30 miles per hour.

Step-by-step explanation:

210÷7=30

Could I please have BRAINLIEST?

Answer:

7.29 miles

Step-by-step explanation:

In 1 minute, Brian rides his bike for 0.27 of a mile.

in 27 mins the distance is going to be more than the other ( i.e 0.27 miles)

We use the proportion then get a solution

1 min = 0.27 miles

27 mins = (27 mins÷ 1 min) × 0.27

= 27 × 0.27 miles

= 7.29 miles

Step-by-step explanation:

Given parameters:

  Speed of the Brain's bike  = 0.27mile/min

Time = 27min

Unknown:

distance between Brain's house and where his friend lives =?

Solution:

Speed is a physical quantity.

   It is mathematically expressed as'

     Speed  = [tex]\frac{distance}{time}[/tex]

   Distance  = speed x time

  Input the parameters;

    Distance  = 0.27mile/min x 27min  = 7.29miles

Answer:

Point H does lie on the graph y = 4.6x - 7

Step-by-step explanation:

Step 1: Define

y = 4.6x - 7

H(0, -7)

Step 2: Substitute, Evaluate, and Check

-7 = 4.6(0) - 7

-7 = 0 - 7

-7 = -7

Answer:

H(0,-7) does lie on the graph of line y = 4.6x - 7

Step-by-step explanation:

All you have to do is simply plug in the x and y values.

From the point H (0,-7) we can say that

x = 0

y = -7

Now just plug it into the equation.

y = 4.6x - 7

(-7) = 4.6(0) - 7

-7 = -7

Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.

Answer:

P = [2( l)+2(w)] / width of the rock

Step-by-step explanation:

row of rocks around his rectangular pool, this tells us we are finding the perimeter

The perimeter of a rectangle is given by

P = 2( l+w)

P = 2( l)+2(w)

But we know that the length  takes into account the width of the rock so divide each side by the width of the rock

P = [2( l)+2(w)] / width of the rock

2x+x=180

3x=180

x=180/3

x=60

Answer:

5 cents

Step-by-step explanation:

If bat + ball = 1.10 and the bat is a dollar more you know that the bat must cost at least 1 dollar. Divide the ten cents by two to split it evenly between the two and $1.05 is one dollar more than 5 cents

Answer:

V(x) = (17 - 2x)(11 - 2x)x

Step-by-step explanation:

We are told that She is making an open top box. This means the box will have only 5 faces.

Now, she cuts squares out of the paper that measures 11 inches wide and 17 inches long.

Now, if the square side is x, it means the width of the box will be x. Since there are 2 upright faces that serve as width.

Thus, measurement of width from the 11 inches paper = (11 - 2x)

Now, similarly, there will be 2 upright sides that will serve as length. Thus, length from the 17 inches side is;

(17 - 2x)

Now,recall that a side of the square is x.

Thus, the depth is x.

Now, volume of a box is given by;

V = length x width x depth

Thus, in this case;

V(x) = (17 - 2x)(11 - 2x)x

answer:

5.33333333333

Answer:

you have to get 15 right so for 60% or above so you can miss 9

Step-by-step explanation:

60% of 24 is 14.4 round it up because if down its below 60% and no longer passing but it rounds to 15

Answer: 7

Step-by-step explanation:

Because if 6 is 75% we can conclude 7 is 71%

Answer:

yes this is...,.,.,.....

Answer:

7°

Step-by-step explanation:

(8x+6)°=62°

8x=62°-6°

8x= 56°

X=(56/8)

X==7°

Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

[tex]\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}[/tex]

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

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Answer:

C. 2^10

Step-by-step explanation:

Law of indices

a^x + a^y = a^(x+y)

2^3 × 2^7

=2^(3+7)

=2^10

Answer:

cost per plant is 8 dollars

Step-by-step explanation:

48÷6=8

8×6=48

Answer:

Step-by-step explanation:

Cost of six potted plants = $ 48

Cost of one potted plant = 48 ÷ 6

                                         = $ 8

Answer:

The first step is to place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB

Step-by-step explanation:

The steps to construct a perpendicular to segment AB are;

1) Place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB

2) With the same compass width, place the compass needle on the other end of segment AB, and draw an arc above and below the segment AB intersecting the arcs constructed in step 1 above. Label the point of intersection as C and D

3) With a straight edge, draw a line joining the points of intersection C and D of the two arcs. The line CD. is the perpendicular bisector of the segment AB.

Answer:

e:

ratio is smaller then number 1

so is between 0 and 1

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]