Adriano loves anime and collect toys from his fav series. Each month he gains 4 toys. If Adriano has 3 toys when he start collecting, how many dose he have in 4 months.

Answer:

y = -1/2 x + 4

Step-by-step explanation:

y = 2x + 4    

Since this equation is in slope-intercept form, the slope of the line is 2.  Perpendicular lines have slopes that are negative reciprocals of each other.  Thus, the slope of a line perpendicular to this line would be -1/2.

So, any equation of the form y = -1/2 x + b

it does not matter what the y-intercept of either line is. They will remain perpendicular as long as their slopes are negative reciprocals.

Answer:

  160,000 tins

Step-by-step explanation:

To find the number of tins, divide the fill rate by the volume per tin.

__

  (2·(1000 L)/min)×(60 min)/(1 h)/(0.75 L/tin) = 160,000 tin/h

160,000 tins of paint can be filled in 1 hour.

_____

Additional comment

That's one tin every 22.5 milliseconds. It would be a feat of engineering to move that volume without splashing.

There are 60 minutes per hour. There are 1000 liters per cubic meter.

Answer:

2.33 x  10^24  kilograms

Step-by-step explanation:

hope this helps!!

=2.33 × [tex]10{^{21}[/tex]

scientific notation

= 2.33e21

scientific e notation

= 2.33 × [tex]10{^{21}[/tex]

engineering notation

= 2.33 × [tex]10{^{21}[/tex]

21

Order of Magnitude

for scientific and standard forms

two setillion three hundred thirty quintillion

Answer:

10

explanation:

Answer:

yes

Step-by-step explanation:

1/2 is half of 1.

300 is 300 times greater than 1, so 300 is 600 times greater than 1/2.

Answer:

Yes, 300 is greater than 1/2

Answer:

dy/dx = 6x(x²-3)cos2x - 2(x²-3)³sin2x

Step-by-step explanation:

We use the Product Rule:

y= (x²-3)³cos2x

dy/dx =   (x²-3)³ d(cos2x)/dx + cos2x * d ((x²-3)³)/dx

=   (x²-3)³ * -2sin2x + cos2x * 3(x²-3)*2x

= -2sin2x*(x²-3)³ + 6xcos2x*(x²-3)

=  6x(x²-3)cos2x - 2(x²-3)³sin2x

Answer:

sorry I haven't learned this yet

Step-by-step explanation:

Hey there!

[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]

[tex] \\ [/tex]

To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.

This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :

[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]

[tex] \\ [/tex]

[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:

[tex] \\ [/tex]

[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]

Therefore, the slope of the line is -1.

[tex] \\ [/tex]

▪️Learn more about finding the slope of a line from 2 points :

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Answer:

The answer is 3 cm.

Step-by-step explanation:

To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.

For this equation, we would do the following:

3456 ÷ 36 = 96 cm²

Now that we have divided volume by length, let's divide by height next:

96 ÷ 32 = 3 cm

Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.

3 × 32 × 36 = 3456 cm³

Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.

Answer: (10x + 9) (x - 3)

Step-by-step explanation:

Factor by grouping

Answer:

C) f(x) = (x - 1)(x - 1)(x-6)

Explanation:

Multiplicity means number of times a factor appears in a particular equation.

For example, a root of 3 has multiplicity of 3 then = (x - 3)(x - 3)(x - 3)

Breakdown for this question:

If a polynomial where root of 1 has multiplicity of 2, then it means (x - 1)²

Where polynomial of root of 6 has multiplicity of 1, then it means (x - 6)

Joining them together:

(x - 1)²(x - 6) = (x -1)(x - 1)(x - 6) Hence option C is correct.

The concavity of the function in this problem is classified as follows:

Hence the intervals are given as follows:

More can be learned about the concavity of a function at https://brainly.com/question/31402878

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Answer:

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

Step-by-step explanation:

We are given the options,

(a) The number of accidents was reduced by 0.67 per month for every additional 100 drivers in the program.

(b) The number of accidents was reduced by 0.67 per month every month.

(c) The number of accidents increased by 0.67 per month for every additional 100 drivers in the program.

(d) There were 0.67 accidents per month.

We can eliminate option 'c' because the accidents are obviously not increasing, but rather, decreasing. We can also eliminate option 'd' (which to a certain extent is rather vague) because there is a trend in the data. If there were only 0.67 accidents per month (which is impossible anyway), then the graph would be that of [tex]y=0.67[/tex] which is indeed a straight line. Finally, we can eliminate option 'b' because the x-axis isn't in terms of months, but drivers in the program. This leaves 'a' as the only logical answer, which we can see is true because the graph trends downward (hence the negative slope) by about 0.67 per 100 drivers. With a bit of understanding about the problem, we can eliminate the illogical answers to find the correct one!

Note: you may be wondering why the slope isn't just -0.67, but that is because then it would go down by 0.67 for each driver in the program. Therefore, the slope was divided by 100 to yield us a slope of -0.0067 which makes it go down 0.67 per 100 drivers instead of only 1 driver.

Answer:

(i) Breadth = 14 cm

(ii) Perimeter = 176 cm

Step-by-step explanation:

Given,

(i) Breadth = ?

We know that, Area of a rectangle = length × breadth.

Then,

[tex]1036 = 74 \times Breadth\\1036 \div 74 = Breadth\\\boxed{\bf\:14 \:cm = Breadth }[/tex]

(ii) Perimeter of a rectangle = 2 (length + breadth)

Then,

[tex]Perimeter = 2(74 + 14)\\Perimeter = 2(88)\\\boxed{\bf\: Perimeter = 176 \: cm}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

The best pairing to complete the task in the shortest amount of time is You and Aunt 1 and it would take them 30 minutes.

This represents the fastest time it takes for a person to execute a task.

The time needed for all tasks for You is:

2.5 + 5 + 1.5 = 9 hours

The time needed for all tasks for Aunt 1 is:

1.5 + 4 + 3= 8.5 hours.

9 - 8.5 = 0.5 hours

= 30 minutes

The shortest amount of time to complete all tasks is 8.5 hours by Aunt 1

Read more about the shortest amount of time here:

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Answer:

57 ounces

Step-by-step explanation:

He needs 28 oz of oil for every 44 cups. Multiply both to get 56 oz of oil for 88. Since there is one more cup of flour, you will need one more ounce of oil.

[tex]\huge{\color{red}{\fbox{\textsf{\textbf{Answer}}}}} [/tex]

4 hours 12 minutes

Step-by-step explanation:

We need to convert time in hours by diving 15 by 60

[tex] \sf 2 \frac{15}{60} \\ \\ \sf 2 \frac{1}{4} [/tex]

as it is mixed fraction we will convert into improper

[tex] \sf \frac{(2 \times 4) + 1}{4} \\ \\ \sf time = \frac{9}{4} hours[/tex]

Now we need to find distance

[tex] \sf \green {distance = speed \times time}[/tex]

Here speed is 50km/h

[tex] \sf \implies distance = 50 \times \frac{9}{4}km \\ \\ \sf \implies distance = \frac{25 \times 9}{2}km \\ \\ \sf \implies distance = \frac{225}{2} km \\ \\ \sf \implies \red {distance = 112.5km}[/tex]

Now we have to have time at new speed at 27km/h

and distance is same

[tex] \sf \pink{ time = \frac{distance}{speed} }[/tex]

Now substituting the value of speed and distance

[tex] \sf \implies time = \frac{112.5}{27} [/tex]

Now we will remove point(.) from the distance by multiplying 10 with 27

[tex] \sf \implies time = \frac{1125}{27 \times 10} \\ \\ \sf \implies time = \frac{41.6}{10} [/tex]

now we will convert it into mixed fraction

[tex] \sf \implies time = 4 \frac{1}{5} hours [/tex]

Now we will convert fraction hours into minutes by multiply with 60

[tex] \sf \implies time = 4 \: hours \: \frac{1}{5} \times 60 \: minutes \\ \\ \sf \implies \orange{ time = 4 \: hours \: 12 \: minutes}[/tex]

Answer: {x | x is a season}

Step-by-step explanation:

Spring, summer, autumn, and winter are all seasons.

Answer:

C. 21 1/9

Step-by-step explanation:

6 1/3 cups / 0.3 cups in a serving = 21.11111... or 21 1/9

Answer: B

Step-by-step explanation:

Answer:

1,498.32

Step-by-step explanation:

1,894.32 - 396.00 = 1,498.32 You subtract 396 from 1,894.32

Answer:

  x = 25

Step-by-step explanation:

The measure of an inscribed angle in a circle is half the measure of the arc it subtends. The acute angles in a right triangle are complementary.

__

Inscribed angle CAD is half the measure of arc CD, so is 80°/2 = 40°.

Acute angle 2x° is the complement of angle CAD in the right triangle shown, so we have ...

  2x° = 90° -40° = 50°

  x = 25 . . . . . . . . . . . . divide by 2°

Answer:

Step-by-step explanation:

3 1/3 is 10/3. 1 1/5 is 6/5. KCF, Keep Change Flip.

10/3 divided by 6/5 becomes 10/3 multiplied by 5/6, or 50/18.

50/18 becomes 25/9, or 2 7/9.

Answer:

55

Step-by-step explanation:

Since whole numbers do not include fractions and decimal values, 55 is the answer

Answer:

0.5 feet

Step-by-step explanation:

Volume = Length × Width × Depth

Here :

Solving :

Answer:

a = 10

a = 2

a = 8

Step-by-step explanation:

  The inequality:

11 ≥ a

   We will go through all the options:

-> In short, all values less than or equal to 11 will be solutions.

a = 10

11 ≥ a

11 ≥ 10 ✓

-

a = 2

11 ≥ a

11 ≥ 2 ✓

-

a = 8

11 ≥ a

11 ≥ 8 ✓

-

2 = 3

N/A, no 'a' variable given.

Answer:

x = 4

Step-by-step explanation:

<C = <A

25° = 8x - 7

32 = 8x

x = 4

Answer:

SEE BELOW IN BOLD.

Step-by-step explanation:

a.

h = -16t^2 + 50t

h = 20 t

When the height is the same:

-16t^2 + 50t = 20t

-16t^2  + 30t = 0

t(-16t + 30) = 0

t = 0 or  -16t + 30 = 0, so:

t = 0 or -30/-16 = 1.875

So the answer is 1.88 seconds to the nearest hundredth.

b.

For the ball

h = -16t^2 + 50t

Finding the derivative and equating to zero:

dh/dt = -32t + 50 = 0

t = -50/-32 = 1.563

Maximum height after 1.56 seconds to nearest hundredth

c.

When the ball hits the ground h = 0 so

-16t^2 + 50t = 0

-16t(t - 50/16)= 0

T = 3.13 SECONDS TO THE NEAREST HUNDERDTH