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mafiozo [28]
2 years ago
6

15 pages in 2 days ___ in 1 day

Mathematics
2 answers:
Alekssandra [29.7K]2 years ago
8 0

Answer:

7.5 pages in 1 day

Step-by-step explanation:

In order to find the answer, you would need to do is divide 15 with two since every two days 15 pages are completed, and you would therefore get your answer which is 7.5. If you want to check your answer then simply multiply 7.5 with 2.

alexandr1967 [171]2 years ago
6 0

Answer:

7.5 pages.

Step-by-step explanation:

You divide 15 by 2 to work out 1 day.

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Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
DiKsa [7]

Answer:

C

Step-by-step explanation:

We must compute the derivatives and check if the equation is satisfied.

A. y'=(3\sin x)'=3\cos x. Differentiate again to get y''=(3\cos x)'=-3\sin x, then y''+y=-3\sin x+3\sin x=0\neq 3\sin x so this choice of y doesn't solve the equation.

B. y'=3\sin x+3x\cos x-5\cosx +5x\sin x=(5x+3)\sin x+(3x-5)\cos x and y''=5\sin x+(5x+3)\cos x+3\cos x-(3x-5)\sin x=(10-3x)\sin x+(5x+6)\cos x, then y''+y=10\sin x+6\cos x\neq 3\sin x so y is not a solution

C. y'=\frac{-3}{2}\cos x+\frac{3}{2}x\sin x hence y''=\frac{3}{2}\sin x+\frac{3}{2}\sin x+\frac{3}{2}x\cos x=3\sin x+\frac{3}{2}x\cos x. Then y''+y=3\sin x+\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\sin x so y is a solution.

D.y'=-3\sin x and y''=-3\cos x, then y''+y=0 thus y isn't a solution

E. y'=\frac{3}{2}\sin x+\frac{3}{2}x\cos x hence y''=\frac{3}{2}\cos x+\frac{3}{2}\cos x-\frac{3}{2}x\sin x=3\cos x-\frac{3}{2}x\cos x. Then y''+y=3\cos x-\frac{3}{2}x\cos x-\frac{3}{2}x\cos x=3\cos x\neq 3\sin x then y is not a solution.

3 0
3 years ago
−10x+3y=5 ASAP<br> x=y−4 ​ <br><br> x ?<br> y?
nexus9112 [7]

Answer:

x = 1 and y = 5

Step-by-step explanation:

Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.

3 0
2 years ago
Please help lot of points at stake- and will give brainly.
Veronika [31]

Answer:

a)1400 + 300x ≤ 5000

b) x ≤ 12 days

Step-by-step explanation:

a) Since the grocery store owner wants to stay within budget then, this means he would be spending at most $5,000

The word at most is represented by the inequality sign ≤ = Less than or equal to

Let x = Number of days

Hence,

Our inequality equation is

$1400 + 300× x ≤ $5000

1400 + 300x ≤ 5000

b) Solving for x

1400 + 300x ≤ 5000

300x ≤ 5000 - 1400

300x ≤ 3600

x ≤ 3600/300

x ≤ 12 days

3 0
2 years ago
Please help i need to finish
elena-s [515]

Answer:

B. \overline A \overline C \cong \overline B \overline D

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that \overline D \overline C is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ \overline A \overline C \cong \overline B \overline D is the additional fact needed to prove \triangle ADC \cong \triangle BCD

Hope this helps :)

5 0
2 years ago
The value of πPhone stock has increased 9% each year for the past several years. In 2020, the stock was worth $75. What will the
Iteru [2.4K]

Answer:

2027 = $122.25

2016 = $48

Step-by-step explanation:

Find 1% of 75

75 / 100 = 0.75

multiply by 9

0.75 * 9 = 6.75

So that's $6.75 each year

Now, lets find our answers for 7 years.

6.75 * 7 = $47.25

75 + 47.25 = $122.25

<u>The stock will be $122.25 in 2027</u>

Now for 2016.

$6.75 * 4 = $27

$75 - $27 = $48

<u>The stock was $48 in 2016</u>

4 0
2 years ago
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