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zubka84 [21]
3 years ago
13

Mrs. Jackson​'s closet consists of two​ sections, each shaped like a rectangular prism. She plans to buy mothballs to keep the m

oths away. She needs one box for every 16 cubic feet of space. How many boxes should she​ buy? Explain how you found the answer

Mathematics
2 answers:
Darya [45]3 years ago
6 0
I think 15.375 or 16 because you can’t buy a fraction of a box
sladkih [1.3K]3 years ago
3 0
The box on the left uses less cardboard
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Answer:

The new location is directly in the middle.

A

8 0
3 years ago
What is the nth term rule of the quadratic sequence below?
Ahat [919]

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

5 0
3 years ago
If i had 33 watermelons in one hand and 21 apples in another <br> what do i have?
choli [55]

Answer:

Your hands full

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (–2, 4) and is perpendicular to 2x + 3y = –6?
MA_775_DIABLO [31]
So you want to get it to slope intercept for.
y = (-2/3)x -2
when you want a perpendicular slope, the slope has to be flipped including the sign. 
y = 3/2x
this is the slope now
now you want to find the y intercept, y = mx + b
4 = 3/2 * -2 + b
4 = -3 + b 
7 =  b
y = (3/2)x + 7
6 0
4 years ago
The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to t
Serggg [28]
ANSWER


The correct option is,
k(x - 2)(x - 7) = 0

EXPLANATION

We were given that the solutions of the quadratic equation are
x = 2
and
x = 7.

This tells us that,

x - 2

and
x - 7

are factors of the quadratic equation.



This implies that the quadratic equation is of the form,

(x - 2)(x - 7) = 0

We were also told that

k


is a non zero constant.



This means that we can use k to multiply the whole equation and the solution will not be affected.


Our equation now becomes,

k(x - 2)(x - 7) = 0


Hence the correct answer is A.
5 0
3 years ago
Read 2 more answers
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