Is (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7?

Step-by-step explanation:

its decreasing so 2007 had 84.134 sheep farms so u gotta subract by a number to year 2080 and to get 79.300

Answer:

27 bc he warms hard and should get a raise

Step-by-step explanation:

Answer:

50 chocolate chip cookies

Step-by-step explanation:

30÷6=5

Answer: 31 degrees

Step-by-step explanation: Angle ABD and BDC are alternate interior angles, meaning that they are congruent. Therefore, the measure of angle ABD is 31 degrees.

The measure of angle ABD is 31°

Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.

Given;

Angle CDB= 31°

Now

Angle ABD= Angle CDB (alternate interior angles)

Angle ABD= 31°

Therefore, angle ABD will be 31°

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Answer:

A) dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) S(t) = (100 + t) - 5000/(100 + t)

C) 35%

Step-by-step explanation:

A) Let;

t = time in minutes

S = amount of syrup

dS/dt = rate at which syrup is flowing through tank

We are told that initially, the tank contains a mixture of 450 liters of cola and 50 liters of cherry syrup.

Thus,

At t = 0

Amount of cola = 450 litres

Amount of syrup = 50 litres

Total mixture = 450 + 50 = 500 litres

We are told that a well mixed solution of cherry cola is withdrawn at the rate of 5 liters per minute.

Thus, amount of liquid in the tank at a time "t" is; 500 + 5t

We are told that cherry syrup is added at the rate of 2 liters per minute.

Thus, rate at which syrup is flowing through tank is given as;

dS/dt = 2 - 5[S/(500 + 5t)]

Factorizing out, we have;

dS/dt = 2 - 5[S/5(100 + t)]

5 will cancel out to give;

dS/dt = 2 - S/(100 + t)

Since we have 50 liters of cherry syrup initially, the initial value problem is;

dS/dt = 2 - S/(100 + t) ; S(0) = 50

B) We have our initial value problem as;

dS/dt = 2 - S/(100 + t)

Rearranging, we have;

dS/dt + S/(100 + t) = 2

Multiplying through by 100 + t gives;

(dS/dt)•(100 + t) + S = 2(100 + t)

Integrating each term with respect to t gives;

(100 + t)S = (100 + t)² + c

Divide both sides by (100 + t) to get;

S = (100 + t) + c/(100 + t)

At t = 0;

S(0) = (100 + 0) + c/(100 + 0)

S(0) = 100 + c/100

Recall earlier in our initial value problem where we stated that S(0) = 50.

Thus;

100 + c/100 = 50

Subtract 100 from both sides to givw;

c/100 = 50 - 100

c/100 = -50

c = -50 × 100

c = -5000

Thus;

S(t) = (100 + t) - 5000/(100 + t)

C) The capacity of the tank is given as 1000 liters.

Earlier, we saw that amount of liquid in the tank at a time "t" is; 500 + 5t

Thus;

500 + 5t = 1000

5t = 1000 - 500

5t = 500

t = 500/5

t = 100 minutes

We want to find What percentage of the mixture is cherry syrup when the tank is full.

Thus we will plug in t = 100 minutes into S(t) = (100 + t) - 5000/(100 + t)

Thus;

S(100) = (100 + 100) - 5000/(100 + 100)

S(100) = 200 - 25

S(100) = 175 litres

We saw earlier that total mixture initially was 500 litres.

Thus, percentage of the mixture that is cherry syrup when the tank is full is;

175/500 × 100% = 35%

Answer:

8274

Step-by-step explanation:

Answer:

Angle a is the smallest

Answer:

120

Step-by-step explanation:

There are 120 high definition televisions are in Order.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Total television = 300

Percentage of High definition television = 40%

Number of total high definition television = 40/100 X 300

                                                                     = 40 X 3

                                                                     = 120

Thus, There are 120 high definition televisions are in Order.

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Answer:

See image for reference

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

It's 51.2

Step-by-step explanation:

All u gotta do is subtract  54 - 2.8

Step-by-step explanation:

In an hour, there are 60 minutes.

100km * (12/60) = 20km.

Hence the train runs 20km in 12 minutes.

Answer:

they love each other

Step-by-step explanation:

...........

Answer:

Step-by-step explanation:

(-8x + 2) + (-5x + 7)

-8x + 2 - 5x + 7

- 13x + 9

Answer:

4

Step-by-step explanation:

208 ÷ 52 = 4

52 × 4 = 208

Hope this helped a little!

208/52

= 4

you could have simply cancelled out or even use a calculator

Answer:

$66.57

Step-by-step explanation:

Cost of one DVD = $19.99

Cost of 3 DVDs = $19.99*3 =$59.97

Rate of GST = 5%

Amount of GST

= 5%* $59.97

= 0.05*59.97

= $2.9985

Rate of PST = 6%

Amount of PST

= 6%* $59.97

= 0.06*59.97

= $3.5982

Total cost of DVDs

= $59.97 + $2.9985 + $3.5982

= $66.5667

= $66.57

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

When we roll 2 dice, there are 36 possible rolls

How can we get 4

1and 3, 3 and 1, 2 and2 = 3 different rolls

P( 4) = number of rolls with sum of 4/ total rolls

        = 3/36 = 1/12

Answer: 7

Step-by-step explanation: -35 / -5 = 7

Answer:

The answer is 7. I did the lesson and 7 was the correct answer

Step-by-step explanation:

Answer:

y=2p+9   i really hope this helps and you dont have to venmo me anything but i had to hurry because i have a quiz and i have to go. bye. hope this helped

Step-by-step explanation:

Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

Answer:  384 ft^2

Step-by-step explanation:

Like it said  set up a proportional equation and solve for dimensions in feets.

The scale factor saids   0.75 in = 2 ft  

And the dimensions are   6 in by 9 in  

Now using the scale solve for how many feets will make 6 inches and how many feets will make 9 inches .  

[tex]\frac{0.75}{6} = \frac{2}{x}[/tex]         Solve by cross multiplying

0.75x = 12  

x = 16  

[tex]\frac{0.75}{9} = \frac{2}{x}[/tex]         Cross multiply

0.75x = 18

x = 24          

Now since we know the new dimensions are 16ft by 24ft then we will multiply them together to find the area .

16 * 24 = 384 ft^2

Answer:

Answer:1,875

Step-by-step explanation:15,000 ÷ 8 = 1,875

Answer: I think it is 1200

Step-by-step explanation: because $15000 of 8% is equal to 1200 because it just is

Answer: 480 minutes or 8 hours

Step-by-step explanation:

24,000 ÷ 50 = 480.

It will take 480 minutes to fill the pool.

480 minutes ÷ 60 is also 8. So it will take 8 hours to fill the pool, or 480 minutes. Whichever one you want to use.

Hope this helps!

Answer:

480 Minutes or 8 Hours

Step-by-step explanation:

If you do 24,000 divided by 50 you get a result of 480

Answer:

They say it because the wanna be different from others lol

Please give me brainliest

Step-by-step explanation:

Answer:

people say that black ops 2 is the best because of the replayabilty and its story line not so much zombies tho

Answer:  C

Step-by-step explanation:

-8p = -3 1/4   The first think you want to do is convert the mixed fraction into an improper fraction.

-8p =  -13/4   Now multiply both sides of the equation by 4.

-32p = -13     Divide both sides by -32

p = 13/32