All categories

1 year ago

What are the next three terms in the sequence 2, -4, -16, 32

Mathematics

1 answer:

Nikitich [7]1 year ago

5 0

Answer:

128, -256, -1024

Step-by-step explanation:

multiply 32 by 4, multiply 128 by -2, multiply -256 by 4

You might be interested in

Charlotte recorded the number of minutes she spent exercising in the past ten days: 9, 13, 5, 2, 9, 1, 14, 3, 5, 7. Find the med

Nuetrik [128]

Answer:

The median is 7.

Step-by-step explanation:

In order to find the median, you need to ut the numbers in either least to greatest form, or greatest to least (FIRST).

I'm gonna do both as an example.

Greatest to least:

14, 13, 9, 9, 7, 5, 3, 2, 1

Least to greatest:

1, 2, 3, 5, 7, 9, 9, 13, 14

It is REALLY important that you use ALL of the numbers you are given, even if there are two or more of the same number.

The next thing you need to do is find the number that is in the middle.

It will be the same for both least to greatest AND greatest to least.

You can either count one from either side, going in a pattern, OR you can count how many there is, divide it by 2, and whatever answer you get, count that many times over from one side.

In this case, your answer goes like this:

since there are 9 numbers, and 9 is not an even number, you will have only one median. Having 2 medians IS normal and it IS ok.

In this case, you want to go down one number (from 9) and divide that. So you do 8 divided by 2, which is 4. Count that many times over and you have your answer, 7.

I hope this helped you!

Have a great dayyyy

5 0

3 years ago

(4). Simplifying polynomials, help pls:) brainliest involved

Roman55 [17]

Answer:

Explanation:

To simplify a polynomial, we have to do two things: 1) combine like terms, and 2) rearrange the terms so that they're written in descending order of exponent.

First, we combine like terms, which requires us to identify the terms that can be added or subtracted from each other. Like terms always have the same variable (with the same exponent) attached to them. For example, you can add 1 "x-squared" to 2 "x-squareds" and get 3 "x-squareds", but 1 "x-squared" plus an "x" can't be combined because they're not like terms.

Let's identify some like terms below.

f(x)=−4x+3x2−7+9x−12x2−5x4

Here you can see that -4x and 9x are like terms. When we combine (add) -4x and 9x, we get 5x. So let's write 5x instead:

f(x)=5x+3x2−7−12x2−5x4

Let's do the same thing with the x-squared terms:

f(x)=5x+3x2−7−12x2−5x4

f(x)=5x−9x2−7−5x4

Now there are no like terms left. Our last step is to organize the terms so that x is written in descending power:

f(x)=−5x4−9x2+5x−7

Step-by-step explanation:

5 0

3 years ago

Ben's employer will reimburse him $0.13 per mile driven. If Ben drives 210.1 miles on a business trip, what is his mileage reimb

Helen [10]

Answer:

27.31

Step-by-step explanation:

Take the number of miles and multiply by the reimbursement rate

210.1 * .13

27.313

Round to the nearest cent

27.31

5 0

2 years ago

Use calculus to find the largest possible area for a rectangular field that can be enclosed with a fence that is 500 meters long

rewona [7]

Let $x$ and $y$ be the sides of the rectangle. The perimeter is given to be 500m, so we are maximizing the area function $A(x,y)=xy$ subject to the constraint $2x+2y=500$ .

From the constraint, we find

$2x+2y=500\implies x+y=250\implies y=250-x$

so we can write the area function independently of $y$ :

$A(x,y)=\hat A(x)=x(250-x)=250x-x^2$

Differentiating and setting equal to zero, we find one critical point:

$\dfrac{\mathrm d\hat A(x)}{\mathrm dx}=250-2x=0\implies x=125$

which means $y=250-125=125$ , so in fact the largest area is achieved with a square fence that surrounds an area of $A(125,125)=125^2=15625\text{ m}^2$ .

7 0

3 years ago

Please help!! thank you

uysha [10]

Answer: It would be E

Step-by-step explanation:

6 0

3 years ago