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3 years ago

Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 4,16,64,256,1024

Mathematics

2 answers:

lawyer [7]3 years ago

4 0

This is a pattern of 4^1, 4^2, etc.
4^1 = 4
4^2 = 16
4^3 = 64
4^4 = 256
4^5 = 1024
The next term would be
4^6 = 4096

FromTheMoon [43]3 years ago

3 0

The pattern is multiply by 4. so the next number is 4096

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La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 1

aev [14]

Answer:

$w=8cm\\h=18.75cm$

Step-by-step explanation:

Let:

$w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3$

The area of the cardboard can be calculated using the formula to find the area of a rectangle:

$A=w*h$

The area of the new cardboard would be:

$A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126$

So:

$126=8*(h-3)\\\\126=8h-24$

Solving for h:

$126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm$

Therefore, the dimensions of the initial cardboard are:

$w=8cm\\h=18.75cm$

Translation:

Sea:

$w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3$

El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:

$A=w*h$

El área de la nueva cartulina sería:

$A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126$

Entonces:

$126=8*(h-3)\\\\126=8h-24$

Resolviendo para h:

$126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm$

Por lo tanto, las dimensiones de la cartulina inicial son:

$w=8cm\\h=18.75cm$

7 0

3 years ago

the number of dogs compared to the number of cats owners by the residents of an apartment complex is represented by the model ho

Burka [1]

Answer:

Its two and Four,

Step-by-step explanation:

The ratio is two dogs to 4 cats.

7 0

3 years ago

PLEASE HELP

vovikov84 [41]

We can have two d = rt equations.

d = 40 t

d = 50 (9 - t)

We know the distance is the same, so we can just set the equations equal to each now.

40 t = 50 (9 - t)

40 t = 450 - 50 t

90 t = 450

t = 5

So, Terrell took 5 hours going 40 mph, and 4 hours going 50 mph. 5 * 40 gives us 200 miles one way.

7 0

3 years ago

Hich of the following is an even function? f(x) = (x – 1)2 f(x) = 8x f(x) = x2 – x f(x) = 7

Ede4ka [16]

Answer:

f(x) = 7 is an even function.

Step-by-step explanation:

Any function is even when $f(x) = f(-x)$ and gives a graph that is symmetric with respect to the y-axis.

We are given these options and we have to check whether which of them is an even function:

$f(x)= (x-1)^2$ $= x^2-2x+1$

and $f(-x) = (-x - 1)^2 = x^2 + 2x + 1$ - This function is not even

$f(x) = 8x$

and $f(-x) = -8x$ - This function is not even

$f(x)=x^2-x$

and $f(-x) = (-x)^2 + x = x² + x$ - This function is not even

$f(x) = 7$

and $f(-x) = 7$ - EVEN FUNCTION

We get the same value for $f(x)$ and $f(-x)$ , therefore f(x) = 7 is an even function.

8 0

3 years ago

Read 2 more answers

Write the domain of Y= x+1/ (x+2)(x+10)

mojhsa [17]

(-∞,-10)∪(-10,-2)∪(-2,∞)

$\left\{x|x\ne-2,-10\right\}$

Both are correct.

4 0

3 years ago