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Nutka1998 [239]

3 years ago

13

How many minutes is in 3/4 of a hour?

1 answer:

Diano4ka-milaya [45]3 years ago

6 0

45 minutes as you only have to divide 60 by 4 and then multiply it times 3

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Translate the following sentence into an equation. The product of five and a number y is two less than the quotient of four and

Monica [59]

Answer:

5y-2(4/y)

Step-by-step explanation:

4 0

3 years ago

Integration of sin^2 2x cos^3 2x dx

lilavasa [31]

$\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C$

$=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C$

4 0

3 years ago

Georgia, a florist, charges 10.95 per flower bundle plus a 15 delivery charge per order. If Charlie orders 8 bundles of flowers

Ivan

Georgia charges Charlie $102.60 in total.

5 0

3 years ago

Read 2 more answers

Consider the first three terms of the arithmetic sequence: 7, 15, 23,... Determine d, the common difference.

ValentinkaMS [17]

Answer:

I think 47 and 55

Explanation:

I think that each number is the previous one plus 8;

7+8=15

15+8=23

23+8=31

31+8=39

So, next will be:

39+8=47

47+8=55

Is this what ur looking for?? hope this help:)

3 0

3 years ago

There were 442 students at Deerlake Middle School who voted on a theme for the spring carnival. Those who voted represent 76% of

never [62]

Answer:

Option C is correct.

Step-by-step explanation:

Number of students of Deerlake middle school that voted = 442

Percentage of student that voted = 76%

Let x be the total number of student.

According to the Question,

$\frac{76}{100}\times x=442$

$x=442\times\frac{100}{76}$

$x=582$

Therefore, Option C is correct.

7 0

3 years ago