All categories

3 years ago

Find the 7th term of the geometric sequence -5, 15, 45, 135, 405,...

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

Answer:

1,215

Step-by-step explanation:

Because if you think of it it multiplies by 3x so 3x5=? 15! 15x3=? 45! 45x3=? 405! 405x=3? 1,215! 1,215x3=? 3,645! anyways, I can go on and on I hope this answer was right!

You might be interested in

The length and width of a rectangle are in a 3:5 ratio. The perimeter of the rectangle is 64. What are the length and width of t

Levart [38]

Hey there! I'm happy to help!

We know that the perimeter is 2L+2W. Le'ts plug in the values 3 and 5 from our ratio and see what our perimeter would be with that.

2(3)+2(5)

6+10

How can we get this 16 to 64?

64/16=4

So, we need to multiply this length and width by four to get 64 as our perimeter!

3*4=12

5*4=20

We can plug this into our perimeter equation

2(12)+2(20)

24+40

Therefore, our length is 12 and our width is 20.

Have a wonderful day! :D

5 0

3 years ago

Help guys pleaseeeee

kkurt [141]

<h2>Answers:</h2>

Exercise 34.

$4t+72\geq 400$ and $t\leq82$ .

Exercise 35.

$30t-4$ .

<h2>Step-by-step explanation:</h2>

<h2><u>Exercise 34.</u></h2>

1. Forming the inequality.

Let's make the left side be a calculation of the total earning based on the number of tickets sols. Also, let's make the right side the cost of the dance to compare and find an adecuate minimum value of x.

$4t+72\geq 400$ .

<em>We use the </em><em>"greater or equal to"</em><em> symbol because the side of x expresses the earning of the committee, and these earnings will have to be equal or greater than the cost of the dance to be able to organize the dance.</em>

2. Solving the inequality.

$4t+72\geq 400\\ \\4t\geq 400-72\\ \\4t\geq 328\\ \\t\geq\frac{328}{4} \\ \\t\geq82$

3. Express your results.

$t\leq82$ , therefore, the dance committee will have to sell at least 82 tickets to be able to cover the cost of the dance.

<h2><u>Exercise 35.</u></h2>

$2-6(-5t+1)$

<em>Apply the associative property of multiplication.</em>

<em>Rule to be applied: </em> $a(b+c)=ab+ac$ .

$2+(-6)(-5t)+(-6)(1)=\\ \\2+30t-6\\ \\30t-4$

Result.

$30t-4$ .

4 0

2 years ago

In the equation 2x + 2y = 5 , the slope is -1.<br> True or false?

astra-53 [7]

Convert the equation to the slope-intercept form:

$2x+2y=5 \\
2y=-2x+5 \ \ \ |\div 2 \\
y=-x+\frac{5}{2} \\ \\
y=mx+b, \ m - \hbox{the slope} \\
y=-x+\frac{5}{2} \\
\boxed{m=-1} - \hbox{the slope}$

TRUE

6 0

3 years ago

Find the points on the curve y=(cosx)/(2 sinx) at which the tangent is horizontal

Lynna [10]

$y=\dfrac{\cos x}{2\sin x}=\dfrac12\cot x\implies y'=-\dfrac12\csc^2x=-\dfrac1{2\sin^2x}$

The tangent lie is horizontal whenever $y'=0$ . But this is never the case, since $\sin^2x>0$ and so $y'$ for all $x$ , so horizontal tangents exist.

4 0

3 years ago

What are the angle measures of this problem

san4es73 [151]

The angles are the same magnitude so set them equal to each other and solve for x.
15x = 12x + 15
3x = 15
x = 5
Then plug 5 back into one of the angles.
12(5) + 15 = 75

ANSWER: 75°

7 0

3 years ago