How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2 inches?

Q1. Prasha has five blocks of wood. The total weight of all five blocks of wood is 3 kilograms. 4 of the blocks of wood each hav

harina [27]

Answer: Weight of the remaining block of wood =400g

Step-by-step explanation:

Total Weight of five(5) blocks = 3kg = 3000g

Weight of 4 out of the 5 blocks = 650x 4= 2600g

Weight of the remaining block of wood =Total Weight of five(5) blocks-Weight of 4 out of the 5 blocks

= 3000g-2600g

=400g

7 0

3 years ago

In one day, there are two high tides and two low tides in equally spaced intervals. The high tide is observed to be 6 feet above

creativ13 [48]

Answer: The "independent variable" is the "time" (in hours) that is plotted on the "x-axis". Note the "time" (in hours) can be "manipulated" in the sense that is it "chosen" by the humans who are measuring the data (e.g. when to start, how many hours, and at what intervals.

The "dependent variable" is the measurement (in feet) above or below the sea level, and this is plotted on the "y-axis". These values cannot be "manipulated" in the sense that one cannot "choose" what value or measurement the tide level would be at any particular time.

Hope these answers—and explanations—are of help to you.
Best wishes!

3 0

4 years ago

The price of a pair of shoes is $52. This price is 15% lower than last week. What was the price of the shoes last week? Round yo

drek231 [11]

Answer:

$61.18

Step-by-step explanation:

The price last week was an unknown. We will call it x. x is an entire amount, so it is 100% of x.

This week, the price is 15% lower. Since 100% - 15% = 85%, the price this week is 85% of what it was last week. Last week it was x, so this week, the price is 85% of x.

85% of x = $52

0.85x = $52

Divide both sides by 0.85:

0.85x/0.85 = $52/0.85

x = $61.1764...

Answer: $61.18

7 0

3 years ago

Determine whether the series is convergent or divergent. 1 2 3 4 1 8 3 16 1 32 3 64 convergent divergent Correct:

Vanyuwa [196]

Answer:

This series diverges.

Step-by-step explanation:

In order for the series to converge, i.e. $\lim_{n \to \infty} a_n =A$ it must hold that for any small $\epsilon$ >0, there must exist $n_0\in \mathbb{N}$ so that starting from that term of the series all of the following terms satisfy that $|a_n-A|n_0$ .

It is obvious that this cannot hold in our case because we have three sub-series of this observed series. One of them is a constant series with $a_n=1$ , the other is constant with $a_n=3$ , and the third one has terms that are approaching infinity.

Really, we can write this series like this:

$a_n=\begin{cases} 1 \ , \ n=4k+1, k\in \mathbb{N}_0\\ 2^{k}\ , \ n=2k, k\in \mathbb{N}_0\\3\ , \ n=4k+3, k\in \mathbb{N}_0\end{cases}$

If we denote the first series as $b_n=1$ , we will have that $\lim_{k \to \infty} b_k=1$ .

The second series is denoted as $c_k=2^k$ and we have that $\lim_{k \to \infty} c_k=+\infty$ .

The third sub-series $d_k=3$ is a constant series and it holds that $\lim_{k \to \infty} d_k=3$ .

Since those limits of sub-series are different, we can never find such $n_0\\$ so that every next term of the entire series is close to one number.

To make an example, if we observe the first sub-series if follows that A must be equal to 1. But if we chose $\epsilon =1$ , all those terms associated with the third sub-series will be out of this interval $(A-1, A+1)=(0, 2)$ .

Therefore, the observed series diverges.

5 0

4 years ago

PLEASE HELP ME 10 POINTS

Furkat [3]

B is 3, m is 0.75 x is number of miles

5 0

3 years ago