I need help with this i cant get it whats 7|x|=42 is it -6 or just 6

What should the next number be? 100 96 104 88 120 56

riadik2000 [5.3K]

100 ---> 96 is -4

96 ---> 104 is +8

104 ---> 88 is -16

88 ---> 120 is +32

120 ---> 56 is -64

So first we go down by 4, then up by 8, then down 16, then up 32, then finally down 64.

The pattern of numbers is: -4, +8, -16, +32, -64

Notice it's the powers of 2:

2^2 = 4

2^3 = 8

2^4 = 16

2^5 = 32

2^6 = 64

each term doubles. Also each term alternates in sign. One is positive, then the next is negative and so on.

The last difference is -64, which doubles to -128. Change the sign to positive to get +128

Add 128 to the last term of 56 to get

128+56 = 184

Therefore, the final answer is 184

8 0

3 years ago

Sofia's taco truck lets customers choose 3 ingredients from the list below to add to their tacos. How many groups of 3 different

DIA [1.3K]

Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.

The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

<h3>Combination formula: </h3>

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, 3 ingredients are chosen from a set of 6, hence:

$C_{6,3} = \frac{6!}{3!3!} = 20$

20 groups of 3 different ingredients can go on a taco.

To learn more about the combination formula, you can take a look at brainly.com/question/25990169

4 0

2 years ago

What is x – 8.1 = 5.3

Artemon [7]

Add 8.1 to both sides to find x!
hope this helps :-)

6 0

3 years ago

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Please Help Me ASAP Will Thank Rate 5 Starts And Mark Brainliest If You Are CORRECT

Ivan

Answer:

The correct option is 4.

Step-by-step explanation:

It is given that figure ABCD is transformed to figure A′B′C′D′.

The vertices of ABCD are A(1,1), B(3,3), C(4,2) and D(4,1).

The vertices of A'B'C'D' are A'(1,-3), B'(3,-1), C'(4,-2) and D'(4,-3).

It is clear that the figure translate 4 units down and the rule of translation is

Translation is a rigid transformation, it means image and preimge are congruent.

Since ABCD is translate 4 units down to make A′B′C′D′, therefore

Congruent part of congruent figures are congruent.

Therefore the correct option is 4.

I Hope It's Helpful :)

4 0

3 years ago

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Help find the surface area of a cylinder with the height of 9 inches and base radius of 4

dybincka [34]

9514 1404 393

Answer:

104π in² ≈ 326.7 in²

Step-by-step explanation:

Put the given numbers in the surface area formula for a cylinder.

SA = 2πr(r +h)

SA = 2π(4 in)(4 in +9 in) = 104π in² ≈ 326.7 in²

3 0

3 years ago

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