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2 years ago

Find the value of the next term in the sequence. 15, 26, 48, 92, . . . HELP

Mathematics

1 answer:

meriva2 years ago

4 0

Answer:

180

Step-by-step explanation:

The pattern is the previous number multiplied by 2, then subtracted by 4.

Proof: 15 x 2 = 30; 30 - 4 = 26

26 x 2 = 52 ; 52 - 4 = 48

So then, we do 92 x 2.

92 x 2 = 184

184 - 4 = 180

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How to estimate the square root of 32

ELEN [110]

Answer:

~6.5

Step-by-step explanation:

6*6=32 7*7=49 between 6 and 7 and the middle is 6.5

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3 years ago

A pile of cards contains 3 diamonds,

Shtirlitz [24]

Answer:G

Step-by-step explanation:

4/9 times 2/8= 1/9

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1 year ago

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Hakim invests $700 in a bank that pays 5% simple interest annually. After one year he uses the money in his account to buy a com

ludmilkaskok [199]

Answer:

$111

Step-by-step explanation:

The bank balance is ...

$700 × (1 + 0.05) = $735

The cost of the computer is ...

$750 × (1 -0.20) × (1 +0.04) = $624

The remaining bank balance after paying for the computer is ...

$735 -624 = $111

_____

When you add a percentage, you effectively multiply by the sum of 1 and that percentage. The same is true if the amount "added" is negative (as for a discounted price).

(original amount) + (percentage)×(original amount)

Use the distributive property to factor out the original amount:

= (original amount)×(1 + percentage)

6 0

3 years ago

For f(x)= x+5 and g(x)=4x+2 <br> find (fog)(x) And (gof)(x)

Svetllana [295]

Composing functions means that the input of the outer functions is the output of the inner function.

In fact, you can rewrite the circle notation as

$(f\circ g)(x)=f(g(x)),\quad (g\circ f)(x)=g(f(x))$

So, we can substitute g(x) with its expression:

$(f\circ g)(x)=f(g(x))=f(4x+2)$

And since f(x)=x+5, we simply have to add 5 to its input:

$f(4x+2)=(4x+2)+5=4x+7$

Similarly, we have, substituting f with its expression,

$(g\circ f)(x)=g(f(x))=g(x+5)$

And since g(x)=4x+2, we have to multiply the input by 4 and add 2:

$g(x+5)=4(x+5)+2=4x+20+2=4x+22$

7 0

3 years ago

There are seven cats in my neighborhood, with an average of $41$ whiskers each. If one of the cats has $17$ whiskers, how many w

harkovskaia [24]

Answer:

Each of the other cats have 45 whiskers on average.

Step-by-step explanation:

Let x represent the average number of whisker of each cat.

We have been given that there are 7 cats in my neighborhood, with an average of 41 whiskers each.

The total number of whiskers of six cats would be $6x$ .

Since one of the cats has 17 whiskers, so the total number of whiskers of 7 cats would be $6x+17$

We will use average formula to solve our given problem.

$\text{Average}=\frac{\text{Sum of data points}}{\text{Number of data points}}$

Upon substituting our given values, we will get:

$41=\frac{6x+17}{7}$

Let us solve for x.

$41*7=\frac{6x+17}{7}*7$

$287=6x+17$

$287-17=6x+17-17$

$270=6x$

Switch sides:

$6x=270$

$\frac{6x}{6}=\frac{270}{6}$

$x=45$

Therefore, the each of the other cats have 45 whiskers on average.

8 0

3 years ago