All categories

2 years ago

What is the product? (negative 3 s + 2 t)(4 s minus t)

Mathematics

2 answers:

lapo4ka [179]2 years ago

8 0

Answer:

-12s^2 + 11st - 2t^2.

Step-by-step explanation:

(-3s + 2t)(4s - t)

= -3s(4s - t) + 2t(4s - t)

= -12s^2 + 3st + 8st - 2t^2

= -12s^2 + 11st - 2t^2.

natima [27]2 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

Nathan is out rafting. He rafts 16 miles with the river current. At the end of 16 miles, he turns around and rafts the same dist

Novosadov [1.4K]

S = d/t

st = d

t = d/s

The time going is t1.
The time returning is t2.
The total time is 4 hours, so we have t1 + t2 = 4

The speed of the current is c.
The speed going is 9 + c.
The speed returning is 9 - c.

t1 = 16/(9 + c)

t2 = 16/(9 - c)

t1 + t2 = 16/(9 + c) + 16/(9 - c)

4 = 16/(9 - c) + 16/(9 + c)

1 = 4/(9 - c) + 4/(9 + c)

(9 + c)(9 - c) = 4(9 - c) + 4(9 + c)

81 - c^2 = 36 - 4c + 36 + 4c

81 - c^2 = 72

c^2 = 9

c^2 - 9 = 0

(c + 3)(c - 3) = 0

c + 3 = 0 or c - 3 = 0

c = -3 or c = 3

We discard the negative answer, and we get c = 3.

The speed of the current is 3 mph.

7 0

2 years ago

Read 2 more answers

Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia

Sav [38]

Answer:

10.12 $m^{3}$

Step-by-step explanation:

Given:

0.07 cm thick = 0.007m and it is dr (the change in radius)

As we know that, the volume of a hemispherical dome with diameter 48 m is:

V = $\frac{2}{3}$ π $r^{3}$

Take the derivative of V we have:

$\frac{dV}{dr}$ = 2π $r^{2}$

<=> dV = 2π $r^{2}$ *dr

<=> dV = 2π* $48^{2}$ *0.0007 = 10.12 $m^{3}$

Hope it will find you well.

6 0

2 years ago

Read 2 more answers

There were 340,000 cattle placed on feed. Write an equivalent ratio that could be used to find how many of these cattle were bet

lutik1710 [3]

There were 340,000 cattle placed on feed

How many of the 340,000 cattle placed on feed were between 700 and 799 pounds?

Given the fraction of total cattle for 700 - 799 pounds is 2/5

Let x be the number of cattle between 700 - 799 pounds

We make a proportion using the fraction

$\frac{2}{5} = \frac{x}{340,000}$

Cross multiply it and solve for x

340000* 2 = 5x

680000 = 5x

Divide by 5 on both sides

So x= 136,000

There were 136,000 cattle between 700 and 799 pounds

3 0

2 years ago

Read 2 more answers

On the way home, Mark rode the first six miles of the trip in 30

SpyIntel [72]

Here, we are to find the speed of mark in miles per hour.

The speed of Mark in miles per hour is 12 miles per hour.

Total distance Mark travelled = 6 miles

Total time taken = 30 minutes

convert minutes to hour

<em>60 minutes = 1 hour</em>

30 minutes = 1/2 hour = 0.5 hour

<em>Speed = distance ÷ time</em>

= 6 miles ÷ 0.5 hour

= 12 miles per hour

brainly.com/question/18102135

7 0

1 year ago

Rachel has 24 red candies and Maya has 18 green candies. They want to arrange the candies in such a way that each row contains e

oksano4ka [1.4K]

Answer: 6 candies per row.

Step-by-step explanation:

The restrictions that we have are:

Each row has the same number of candies.

Each row has only one color of candy.

We want to find the largest possible rows.

We have 18 green candies and 24 red candies.

Now, to arrange them in rows of equal numbers, we should find a common factor between 18 and 24. (particularly, we want to find the largest common factor between 18 and 24).

Now, to find common factors we first take the smaller number, and we divide it by different numbers, starting by 2 (we want to divide by small numbers, so the result will be the largest factor)

18/2 = 9.

Now to see if 9 is also a factor of 24, we see if the quotient between 24 and 9 is a whole number.

24/9 = 2.66

This is not a whole number, so 9 is not a common factor.

Now we divide by the next number, 3.

18/3 = 6.

24/6 = 4.

So 6 is a common factor of 18 and 24.

Then each row will have 6 candy.

And we will have:

18/6 = 3 rows of green candy.

24/ = 4 rows of red candy.

6 0

2 years ago