Find the value of x.

Answer:

The 6th term will be:

[tex]a_6=\frac{729}{16}[/tex]

Step-by-step explanation:

Given

To determine

a₆ = ?

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_1\cdot r^{n-1}[/tex]

substituting a₁ = 6, r = 3/2

[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]

Determining 6th term

substituting n = 6 in the given equation

[tex]a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}[/tex]

[tex]a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}[/tex]

    [tex]=6\cdot \frac{3^5}{2^5}[/tex]

    [tex]=\frac{3^5\cdot \:6}{2^5}[/tex]

    [tex]=\frac{3^5\cdot \:2\cdot \:3}{2^5}[/tex]

Cancel the common term

     [tex]=\frac{3^6}{2^4}[/tex]

     [tex]=\frac{729}{16}[/tex]

Therefore, the 6th term will be:

[tex]a_6=\frac{729}{16}[/tex]

Answer:

x=14/4=3.5

side=15

Step-by-step explanation:

8x-13=4x+1

4x=14

x=14/4

Answer:

A

Step-by-step explanation:

[tex] {xy}^{3} [/tex]

means that xy is being multiplied with itself thrice.

Hence,

[tex]xy \times xy \times xy[/tex]

Step-by-step explanation:

Given that,

A gray crayon is made with 5 mL of black wax for every 6 mL of white wax.

We need to find the mixture will create the same shade of gray.

For this we need to make the ratio same.

If we multiply 5 mL and 6 mL by 3 to make the ratio same.

5 mL × 3 = 15 mL

6 mL × 3 = 18 mL

Hence, 15 mL of black wax mixed with 18 mL of white wax  is mixed so as to make the ratio same.

Answer:

15ml of black wax mixed with 18ml of white wax

35ml of black wax mixed with 42ml of white wax

Step-by-step explanation: Khan Academy

Answer:

y=-3.571

Step-by-step explanation:

To get rid of the x's make the other x cancel out the other.

5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571

Answer:

x+4y =10

5x-y =25

Step-by-step explanation:

x=10-4y

5(10-4y)-y =25

50-20y-y =25

50-21y = 25

-21y = 25-50

-21y =-25

y =25/21

Substitute y =25/21 in equation 1

x + 4(25/21) = 10

x +100/84 =10

x=10-100/84

Answer:

8.86 cm

Step-by-step explanation:

The sine rule shows the relationship between the sides of a triangle and its opposite sides. Sine rule states that given a triangle with side a and opposite angle A, side b and opposite angle B, side c and opposite angle C then:

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

From the image attached, let AB = x, its opposite angle is 41°. BC = 13.5 cm and its opposite angle is 90°  (right angle). Therefore using sine rule:

[tex]\frac{x}{sin(41)} =\frac{13.5}{sin(90)} \\\\x=sin(41)*\frac{13.5}{sin(90)}\\\\x=8.8568\\\\ x=8.86\ cm\ to\ 3\ s.f[/tex]

x = AB = 8.86 cm

Answer:

First off, complementary angles are when 2 angles add up to 90 degrees. So if one angle is 82 degrees the other is 8 degrees.

Step-by-step explanation:

Answer:

15m^6

Step-by-step explanation:

Multiply 3 times 5

add 4 and 2

Answer:

Using two of the points on the line, you can find the slope of the line by finding the rise and the run. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: Slope =riserun Slope = rise run .

Step-by-step explanation:

hope this helps

Answer: irrational

Step-by-step explanation:

Answer:

irrational

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3x+7x-8=34+9x-2

we move the x's to the left and the numbers to the right

4x-9x=32+8

-5x=40

x=-40/5

x=-8

Answer: 1/-9

Step-by-step explanation:

Answer:

40(5)= $200      

Step-by-step explanation:

I think thats right but im not sure

Answer:

A.) [tex]3\sqrt[]{2}[/tex]

Step-by-step explanation:

Edge 2020 assingment

Goodluck everybody!

∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

A number system is defined as a system of writing to express numbers.

Let us write the prime factors of 54.

54/2 = 27

When fifty four is divided by 2 we get twenty seven.

27/3=9

Twenty seven divided by three is nine.

9/3=3

So 54 = 2 × 3 × 3 × 3

we know ∛ 3 × 3 × 3 = 3

∛54 = ∛ 3 × 3 × 3×2 = 3∛2

Hence, ∛2 is the radical part of both ∛54 and ∛128  when the expression are simplified.

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

4x6 _3

Step-by-step explanation:

24-3 =21 So this is the answer

I hope this will work for u

The value of b from the given function is 9/4.

The given function is g(x) = 4x–3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Replace x by b in the given function is

g(b)=4b-3

⇒ 6=4b-3

⇒ 4b=9

⇒ b=9/4

Hence, the value of b from the given function is 9/4.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer:he has a 44% free throw rate

Step-by-step explanation:

Answer:

$4500

Step-by-step explanation:

Simple Interest formula = Principal × Rate × Time

Let the amount of the money invested at 8% Interest = x

Hence:

$5000 × 6% × 1 + x × 8% × 1 = $660

$300 + 0.08x = $660

0.08x = $660 - $300

0.08x = $360

x = $360/0.08

x = $4500

Therefore , the amount that must be invested at 8% interest is $4500

Answer:

57/32

Step-by-step explanation:

171/32 divided by 2 2/3

Answer:

4 hours

Step-by-step explanation:

Let x = # of hours

22x + 10 = 98

       -10     -10

____________

    22x = 88

           22

x = 4

Answer:

C. 25 square cm

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

divide them

Hey there!

16 1 / 4% = 16(4) + 1 = 64 + 1 = 65

65 / 4% = 16.25%

• Percentages usually run out of 100

16.25 / 100

• Finding out the ratio of your given number, multiply the numerator and denominator by the number 4

16.25 * 4 / 100 * 4

16.25 * 4 = 65 (numerator)

100 * 4 = 400 (denominator)

• Equation: 65 / 400

• REDUCE the GIVEN FRACTION (65/400)

• Once when you have the fraction reduced you should have came up with: 13/80 (aka your answer)

• Answer: 13/80 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

(9t/4)

Step-by-step explanation:

HERE'S UR ANS...FRND...

T×9

= ————

4

9T

= ———

4

I DONT WANT BRAINLIEST....I ONLY WANTED UR SATISFACTION....

HOPE IT HELPS...

Answer:

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.

Step-by-step explanation:

Given that:

3/4 inches on map are equal to [tex]7\frac{1}{2}[/tex] miles

We will find the unit rate in term of inches.

[tex]\frac{3}{4}\ inches = 7\frac{1}{2}\\\\Unit\ rate = \frac{15}{2}*\frac{4}{3}\ miles\\\\Unit\ rate = 10\ miles\ per\ inch[/tex]

Total distance covered by Bonnie according to map;

Total distance = [tex]\frac{1}{2}+\frac{3}{4} = \frac{2+3}{4}[/tex]

Total distance = [tex]\frac{5}{4}\ miles[/tex]

Actual distance = [tex]\frac{5}{4}*10 = \frac{25}{2}\ miles \\[/tex]

Actual distance = [tex]12\frac{1}{2}\ miles[/tex]

Hence,

Option D: [tex]12\frac{1}{2}[/tex] is the correct answer.

Answer:

b

Step-by-step explanation:

Answer:

i need this for a challenge

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

13 = -2y + 8 + 3y

13 = y+8

y = 5