What is the value of the fourth term in a geomtric sequence for which a1=15

Answers

Answer 1

Answer: Hello,

If you know the ration (i don't)
a(4)=a(3)*r=a(2)*r²=a(1)*r^3
==>a(4)=15*r^3

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Which of the following numbers is irrational?
0.13
✓3
-0.3

Answers

the square root of 3 is irrational

How do you know if a quadrilateral is a parallelogram?

Answers

If a quadrilateral is a parallelogram then opposite sides are parallel. For example, look at the diagram I provided below. If quadrilateral A,B,C,D is a parallelogram, then side A,B is parallel to side D,C. Also, side A,D must be parallel to side B,C.

Hey there! :D So you're wondering how you can tell if a quadrilateral is a parallelogram, right? Well, you are about to find out! The way you can tell whether a quadrilateral is a parallelogram because we know that a quadrilateral has 4 sides, right? And a parallelogram is a figure with opposite sides that never intersect or cross. So for example, a square is a quadrilateral and it has 4 equal sides and if we extend the lines horizontally, the would not cross.

I hope this makes sense to you! Have a good evening!(If you are in the US, but if you aren't, good morning!) :D

Which of the following exponential functions goes through the points (1, 12) and (2, 36)?f(x) = 4(3)−x
f(x) = 3(4)−x
f(x) = 3(4)x
f(x) = 4(3)x

Answers

Its f(x) = 4(3)^x
As (x=1, y=12), you insert 1 into the variable and its from, 4 x (3)^1 = 12. Same as (x=2, y=36), it becomes 4 x (3)^2 = 36.

Answer:

$f(x)=4(3^x)$

Step-by-step explanation:

Let's evaluate the functions for every given point, so, we can conclude which of them satisfy the conditions. But first, keep in mind the following:

$a^(-n)=(1)/(a^n)$

First function:

$f(x)=4(3^(-x) )=(4)/(3^x)$

For the point (1,12)

$f(1)=(4)/(3^1) =(4)/(3) \neq12$

This function doesn't satisfy one of the conditions.

Second function:

$f(x)=3(4^(-x) )=(3)/(4^x)$

For the point (1,12)

$f(1)=(3)/(4^1) =(3)/(4) \neq12$

This function doesn't satisfy one of the conditions.

Third function:

$f(x)=3(4^x)$

For the point (1,12)

$f(1)=3(4^1)=3*4=12$

For the point (2,36)

$f(2)=3(4^2)=3*16=48\neq36$

This function doesn't satisfy one of the conditions.

Fourth function:

$f(x)=4(3^x)$

For the point (1,12)

$f(1)=4(3^1)=4*3=12$

For the point (2,36)

$f(2)=4(3^2)=4*9=36$

This function satisfies all conditions.

Therefore, since the fourth function satisfies all conditions, we can conclude it is the function which goes through the points (1, 12) and (2, 36)

Zara ate 75 almonds this week, or 150% as many as she ate last week. How many almonds did Zara eat last week?

Answers

Zara ate 50 almonds last week which is 150% as many as she ate last week.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that Zara ate 75 almonds this week, or 150% as many as she ate last week.

Let's assume that she eat x almonds last week

As per the given question, we can write the percentage would be as

⇒ 150% of x = 75

⇒ (150/100) x = 75

Apply the cross-multiplication operation,

⇒ 150x = 7500

Divided by 150 into both sides of the above equation,

⇒ x = 7500/150

⇒ x = 50

Therefore, she eat 50 almonds last week.

Learn more about the percentages here:

brainly.com/question/24159063

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Write the word sentence as an inequality, a number m multiplied by 4 is greater than 12

Answers

The given word sentence is m > 3

What is inequality ?

inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

"A number m multiplied by 4 is greater than 12"

"A number m" ⇒ m

"multiplied by" ⇒ ×

"4" > 4

"is greater than"⇒ >

"12" ⇒ 12

put this together and we get

m × 4 > 12

4m > 12

it can be simplified to m > 3 if you would like.

To learn more about inequality from here

brainly.com/question/20383699

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"A number m multiplied by 4 is greater than 12"

"A number m" $\rightarrow m$
"multiplied by" $\rightarrow *$
"4" --> $4$
"is greater than" $\rightarrow >$
"12" $\rightarrow 12$

put this together and we get
$m * 4 > 12$
or
$4m > 12$

it can be simplified to $m > 3$ if you would like

What are the zeros of j(x) in the polynomial equation?

Answers

Answer: x = $(-3)/(2)$ , 0, $(3)/(2)$

Step-by-step explanation:

To find the zeros, we will find the solutions to this equation that make it equal 0. This is a cubic function, so we can assume that there will be three solutions.

Given:

$\displaystyle J(x) = (12x^3)/(5) -(27x)/(5)$