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antoniya [11.8K]
3 years ago
7

Use long division to find 5210 divided by 46

Mathematics
1 answer:
In-s [12.5K]3 years ago
3 0
52-46=6 drop down the 1 = 61- 46=15 drop down the 0 =150 46x3= 138 so 150-138= 12
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A movie cost $3,254,107 to produce. which digit in the hundred thousands  place ?
nekit [7.7K]
The hundred thousand place is the number that is 6 times to the right of the decimal:

In this case that number is 2
3 0
3 years ago
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when camping alone , mr adam uses all of the water in 12 days, then when mrs adams and mr adams camp together they use all of th
professor190 [17]

Using the together rate, it is found that if Mrs Adams camps alone, she will use all the water in 24 hours.

<h3>What is the together rate?</h3>

The together rate is the sum of each separate rate.

In this problem, the rates are:

  • Together: 1/8.
  • Mr Adam: 1/12.
  • Mrs Adams: 1/x.

Hence:

\frac{1}{12} + \frac{1}{x} = \frac{1}{8}

\frac{x + 12}{12x} = \frac{1}{8}

12x = 8x + 96

4x = 96

x = \frac{96}{4}

x = 24

If Mrs Adams camps alone, she will use all the water in 24 hours.

More can be learned about the together rate at brainly.com/question/25159431

6 0
2 years ago
Which values of a and b make the following equation true?
zzz [600]

Answer:

A. is correct answer

Step-by-step explanation:

full explanation

6 0
2 years ago
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
Evaluate the expression 8x for x=2
kodGreya [7K]

Answer:

16

Step-by-step explanation:

8x2

5 0
2 years ago
Read 2 more answers
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