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3 years ago

1, 32, 243, 1,024, 3,125____ what is the next number in the pattern

2 answers:

8 0

Heyya

I think the pattern is (n+1)^5

1=1^5
32 = 2^5
243 = 3^5
1024 = 4^5
3125 =5^5

Then the next number should be 6^5 = 7776
Hope you get it

FinnZ [79.3K]3 years ago

8 0

Answer:

Next term of the pattern is:

7776

Step-by-step explanation:

We have to find the next number in the pattern:

1,32,243,1024,3125,...

This could also be written as:

$1^5,2^5,3^5,4^5,5^5,...$

If A(n) denotes the n th term of the sequence then,

$A(n)=n^5$

We have to find the sixth term of the sequence

$A(6)=6^5$

A(6)=7776

Hence, next term of the pattern is:

7776

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3 years ago

Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation

ruslelena [56]

<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

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3 years ago

Two numbers multiply to be -7 and add to be -6. What are the numbers?<br><br> Example; 2,3

rewona [7]

<u>Given</u>:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

$xy=-7$ and

$x+y=-6$

<u>Value of the two numbers:</u>

Let us determine the value of the two numbers using substitution method.

Substituting $y=-6-x$ in the equation $xy=-7$ , we get;

$x(-6-x)=-7$

Simplifying, we get;

$-6x-x^2=-7$

$x^2+6x-7=0$

$(x+7)(x-1)=0$

$x=-7, 1$

Thus, the values of x are x = 1,-7

When x = 1 , the equation $x+y=-6$ becomes $y=-7$

When x = -7, the equation $x+y=-6$ becomes $y=1$

Therefore, the two numbers are 1 and -7

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3 years ago

Given cosx=12/13

TiliK225 [7]

1. You have the following information:

Sinx=5/13

Cosx=12/13

2. By definiton, you have:

Tanx=(Senx)/(Cosx)

3. When you susbtitute Senx=5/13 and Cosx=12/13 into Tanx=(Senx)/(Cosx), you obtain:

Tanx=(Senx)/(Cosx)
Tanx=(5/13)/(12/13)
Tanx=(5)(13)/(13)(12)
Tanx=65/156

4. Therefore, the answer is;

Tanx=65/156

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3 years ago