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3 years ago

Write an expression for the calculation double 2 and then add 5

Mathematics

2 answers:

valina [46]3 years ago

7 0

Answer:

Step-by-step explanation:

ankoles [38]3 years ago

6 0

The expression could be 2(2) + 5, or 2 squared + 5, as well.

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Scott earned 20 points more on his most recent math test than he earned on the previous test. If he earned at least 80 points on

NARA [144]

9514 1404 393

Answer:

s ≥ 60

Step-by-step explanation:

If Scott earned 20 points more on this test, then he earned 20 points less on the last test. 20 points less than "at least 80" is "at least 60."

s ≥ 60

7 0

3 years ago

A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

3 years ago

Determine whether the following series converge or diverge

Mars2501 [29]

An alternating series $\sum\limits_n(-1)^na_n$ converges if $|(-1)^na_n|=|a_n|$ is monotonic and $a_n\to0$ as $n\to\infty$ . Here $a_n=\dfrac1{\ln(n+1)}$ .

Let $f(x)=\ln(x+1)$ . Then $f'(x)=\dfrac1{x+1}$ , which is positive for all $x>-1$ , so $\ln(x+1)$ is monotonically increasing for $x>-1$ . This would mean $\dfrac1{\ln(x+1)}$ must be a monotonically decreasing sequence over the same interval, and so must $a_n$ .

Because $a_n$ is monotonically increasing, but will still always be positive, it follows that $a_n\to0$ as $n\to\infty$ .

So, $\sum\limits_n(-1)^na_n$ converges.

5 0

3 years ago

One type of insect is 0.0052 meters long. What is the lenght in scientific notation

Ket [755]

Answer:

5.2 × $10^{-3}$

Step-by-step explanation:

a number in scientific notation is expressed as

a × $10^{n}$

where 1 ≤ a < 10 and n is an integer

write 0.0052 as a number between 1 and 10, that is 5.2

we have to the move the decimal point 3 places to the left to retain it's value

3 places left means n is - 3

0.0052 = 5.2 × $10^{-3}$

8 0

3 years ago

Kellie bought 8 towels and spent $39.60.Each towel costs the same amount.

kvasek [131]

Answer: $54.45

Step-by-step explanation:

First, we will find the price of one towel.

-> We will divide the cost by the towels bought.

$39.60 / 8 = $4.95

Now, we can find the price of 11 towels.

-> We will multiply the cost of one towel by 11 to find the total cost.

$4.95 * 11 = $54.45

8 0

2 years ago

Read 2 more answers