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3 years ago

Find the value of x please help me solve this

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

3 0

Answer:

x = 55 + 60

= 115

.....................................

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36, ___, ___, 32/3 is a geometric sequence, with some terms missing. First, please solve for "r", the common ratio between each

Nikitich [7]

Answer:

The geometric sequence is

36,24,16, $\frac{32}3$ ,.......

Step-by-step explanation:

The first term of the g.s is 36.

The 4th term of the given sequence is $\frac{32}{3}$ .

The $n^{th}$ term of the geometric sequence is

$T_n=ar^{n-1}$

Where a is the first term of the geometric sequence and r is the geometric sequence.

Then 4th term of the sequence is

$T_4=ar^{4-1}$

$\Rightarrow \frac{32}3=36r^3$

$\Rightarrow r^3=\frac{32}{3\times 36}$

$\Rightarrow r=\sqrt[3]{ \frac{8}{27}}$

$\Rightarrow r=\frac{2}{3}$

Then, second term of the sequence $=36\times( \frac 23)^{2-1}$

$=36\times \frac 23$

=24

The third term of the sequence is $=36\times( \frac 23)^{3-1}$

$=36\times( \frac 23)^2$

=16

The geometric sequence is

36,24,16, $\frac{32}3$ ,.......

5 0

4 years ago

Read 2 more answers

Write the standard form of the equation of the circle with its center at (-5,0) and a radius of 8 what is the equation of the ci

Leto [7]

Answer:

$\large\boxed{(x+5)^2+y^2=64}$

Step-by-step explanation:

The standard form of an equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the center (-5, 0) and the radius r = 8. Substitute:

$(x-(-5))^2+(y-0)^2=8^2\\\\(x+5)^2+y^2=64$

7 0

3 years ago

State whether the lines are parallel, perpendicular, or neither. Show your work.

taurus [48]

Answer:

-5y=-10x+100

y=2x-20

6y=-3x-7

y=-1/2x-7/6

Perpendicular because the slopes are opposite

7 0

4 years ago

There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb

Tamiku [17]

Answer:

Rule in words:

The number of packages Justin needs to buy to get x cards is x divided by 3.

Rule as an algebraic expresssion:

$y=x/3$

Explanation:

This is a direct variation problem.

Since each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

The number of cards is 3 times the number of packages.

The number of packages is the number of cards divided by the number of 3.

So, the rule in words for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages: 1 2 3 4 5

Number of cards: 3 6 9 12 15

To find the algebraic expression that describes the same rule, you can set the following proportion:

$\frac{12}{4} =\frac{x}{y}$

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

$\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3$

8 0

4 years ago

What is the answer for 1 - ( -3)

Salsk061 [2.6K]

answer is 4 because negative symbols are going to be positive.

8 0

4 years ago

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Find the value of x please help me solve this​

Find the value of x please help me solve this