if a=3 and b=5, what is the value of a^2 + b^2?

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:

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:

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:

Joshua walked 48 feet in total.

Step-by-step explanation:

To find the total distance we need to sum every distance that he walked. We have:

- First: Joshua walked down the hall to the door = 14 feet

- Second: He continued in a straight line out the door and across the yard to the mailbox = 24 feet

- Third: He came straight back across the yard and stopped to pet his dog = 10 feet

Hence, the total distance is:

[tex] d_{T} = d_{1} + d_{2} + d_{3} = 14 ft + 24 ft + 10 ft = 48 ft [/tex]

Therefore, Joshua walked 48 feet in total.

I hope it helps you!

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:

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:

They are both types of reproduction.

Step-by-step explanation:

Answer:

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

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:

y=2x-10

Step-by-step explanation:

Hope this helps   (:

Answer:

The second one: sqrt 2 - 1

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

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

2x+x=180

3x=180

x=180/3

x=60

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:

63 teaspoons

Step-by-step explanation:

if 3 teaspoons equals 1 tablespoon and you need 21 tablespoons of flour the 21X3=63 so it requires 63 teaspoon measures to make the cupcakes

Answer:

(5, -3)

Step-by-step explanation:

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:

False

Step-by-step explanation:

Multiplying the numerator and the denominator by a number is basically multiplying the equation by 1, meaning that it won't change the value.

Keeping that in mind, 6/8 can be reduced to 3/4 by multiplying the top and bottom by 1/2, meaning they are equal.

To actually multiply a fraction to make it 2 times itself, you only multiply the numerator(top), not the denominator(bottom).

Answer:

False

Step-by-step explanation:

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

Answer:

1. π, 4, 8

2. 5, π + 2, 173

3. -2, 1.7, 2

4. 2.5, 5, 32

5. 3.7, π + 1, 13

6. π - 2, 52, 54

Step-by-step explanation:

π = 3.1415

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:

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]

answer:

5.33333333333