Find a solution to dA/dt=-6A if A(0)=6. A(t)=

Answer:

1000

Step-by-step explanation:

50 × 11 + 50 × 9 ← factor out 50 from each term

= 50(11 + 9)

= 50(20)

= 1000

The probability that a random alcoholic can kick the habit without professional help is 0.273 .

Probability is the study of likeliness of an event to happen.

It has a range of 0 to 1 , where 0 indicates uncertainty and 1 indicates certainty.

It is given that

The alcoholics that need professional help to stop drinking is 72.7 %

Therefore the probability of this is 72.7 /100 = 0.727

The probability that they will not need professional help is given by

q = 1 - p

q = 1 -0.727

q = 0.273

Therefore the probability that a random alcoholic can kick the habit without professional help is 0.273 .

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The allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have:

Henry is working in a packed room. He is filling a bag with dry seasoning. The net weight of the bag is stated as 35

lbs. His tolerance is +/-5 lbs.

Weight of the bag = 35 lbs

Tolerance = ± 5 lbs

Allowable weights = 35 ± 5

= 35 + 5 = 40 lbs

= 35 - 5 = 30 lbs

Thus, the allowable weights are 30 lbs and 40 lbs if the weight of the bag is 35 lbs option (d) is correct.

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The expressions for the number of measles are y = a(1.05)^x and y = a(1.1)^x

Let the initial number of measles in 2000 be represented as:

Initial = a

The rate of increase is given as:

Rate, r = 5.3%

The number of measles in x years after 2000 is represented as:

y = a * (1 +r)^x

Substitute r = 5.3%

y = a * (1 + 5.3%)^x

So, we have:

y = a * (1 + 0.053)^x

Evaluate the sum

y = a * (1.053)^x

To express to the nearest hundredth, we approximate to 2 decimal places

y = a(1.05)^x

To express to the nearest tenth, we approximate to 1 decimal place

y = a(1.1)^x

Hence, the expressions for the number of measles are y = a * (1.05)^x and y = a * (1.1)^x

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Answer:

i dont know

Step-by-step explanation:

sorry please be a bit more clear on what help you would like

Answer:

y=-2x -1

Step-by-step explanation:

(y-y1) = m(x-x1)

y-(-11) = -2(x-5)

y+11 = -2x + 10

subtract 11 on both sides thus

y = -2x -1

The correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

As we can see graph D is showing the correct proportionality. We can also create an equation of proportionality as:-

Y = 2x

Put y = 0.5

0.5 = 2 x 0.5 = 1

As we put y=0.5 we get the value of x = 1 as shown in the graph.

Therefore the correct answer is option D.It is the graph that represents two quantities in a proportional relationship.

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Answer:

-60

Step-by-step explanation:

Answer:

$4

Step-by-step explanation:

Company $0.50

Store. $ 4.50

Price up $ X

4.50

- 0.50

------------

4.00

X= $4.00

Work Shown:

[tex](x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\[/tex]

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Answer:  [tex]\textsf{y = -3}[/tex]

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Given: [tex]\textsf{Goes through (8, 2) and (12, -10)}[/tex]

Find:  [tex]\textsf{The slope of the line}[/tex]

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

Plug in the values

Simplify the expression

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

Answer: 10°

Step-by-step explanation:

Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.

This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.

Answer:

[tex](x + y)(x - y)[/tex]

[tex](3.5 - 8.7)(3.5 + 8.7)[/tex]

[tex](-5.2)( 12.2)[/tex]

[tex]-63.44 [/tex]

Answer:

Equation is 20 = 0.8 time x

x=25

Step-by-step explanation:

80% = 0.8

So to find x we 20/8

and we get 25 as the final answer

Based on my experiences so far, the approach to geometry that I prefer is: Euclidean Geometry. This is because the problems are easy to visualize since they are restricted to two-dimensional planes.

The approach that is easier to extend beyond two dimensions is Euclidean Geometry. Again, this is because of how it deals with shapes and visualization of the same.

Take for instance a triangle; it is easy to go from a two-dimensional equilateral triangle  to a square pyramid.

Analytical geometry is a superior technique for discovering objects (points, curves, and planes) based on their qualities in some situations than Euclidean geometry is in others (for example, when employing topography or building charts).

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Answer: .00006kg

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

I will assume you meant [tex]f(x)=2x^{2}+6x+6[/tex].

[tex]f(-3)=2(-3)^2 + 6(-3)+6=6\\\\f(-1)=2(-1)^2 + 6(-1)+6=2\\\\\therefore \frac{f(-3)-f(-1)}{-3-(-1)}=\frac{6-2}{-2}=\boxed{-2}[/tex]

Answer:

the answer is 13.73 %

The y- component of the vector is 18.31728 m

A quantity that has both magnitude and direction but not position.

The y- component is

Dy = 18.6* sin80

Dy = 18.6* 0.9848

Dy= 18.31728 m

Hence, the y- component of the vector is 18.31728 m.

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The speeds of the two cars will be 52 mph and 64 mph.

If the object is going linearly, and at constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is S = D/T

Two cars leave Chicago to go to a town in that suit up north.

One car is traveling 13 mph faster in it arrived in four hours the other car took five hours to get there.

Let the distance traveled by both cars is x.

Speed of the first car = x/5

Speed of the second car = x/4

So, the equation form will be

x/5 + 13 = x/4

(65 + x )/ 5 = x /4

4(65 +x ) = 5x

260  + 4x =5x

x = 260

Speed of the first car = x/5 = 52mph

Speed of the second car = 52 + 13 = 65 mph

The speeds of the two cars will be 52 mph and 64 mph.

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Answer:

y = -2x + 64

Explanation:

The x represents the time in minutes and y represents distance in km.

Determine coordinates: (0, 64), (17, 30)

Find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2- x_1} = \dfrac{\triangle y}{\triangle x} \ \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points[/tex]

[tex]\rightarrow \sf slope \ (m) : \dfrac{30-64}{17-0} = -2[/tex]

Find equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

[tex]\sf y - 64 = -2(x - 0)[/tex]

[tex]\sf y = -2x + 64[/tex]

Between Steps 1 and 2, the student added 6x to the left hand side, but subtracted 6x from the right hand side.

Answer:

The first graph

Step-by-step explanation:

The second graph does not have a point at (1, -2).

The total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

A geometric sequence 1.5, -3, 6, -12 ....

The common ratio r = -3/1.5 = -2

1.5, -3.6, 6, -12, 36, -108, 324, -972, 2916, -8748

The total negative terms = 4

Thus, the total negative terms are 4 which are greater than -6000 if the geometric sequence 1.5, -3, 6, -12 ... with a common ratio -3.

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Answer:

420

Step-by-step explanation:

Answer:

V = 340 cm3

Step-by-step explanation:

Calculate the volume of the prism without the gap, then subtract the volume of the gap.

[tex]V=(5)(10)(8)-(3)(2)(10)=400-60=340cm^{3}[/tex]

Hope this helps

Answer: [tex]y=3x-17[/tex]

Step-by-step explanation:

use point-slope form:

[tex]y_{1} -y=m(x_{1} -x)[/tex]

[tex]y-1=3(x-6)[/tex]

[tex]y-1=3x-18[/tex]

[tex]y=3x-17[/tex]

Answer:

equation: y = 3x - 17

[image attached]

Step-by-step explanation:

we know that the equation for a line is y = mx + b

we are given a point, (6, 1)

remember that a point is (x, y)

we can plug these sample x and y values into our equation, replacing x and y

 y = mx + b

 1 = m6 + b

we know that m = 3 [this was a given], so we can plug this into our equation

1 = (3)(6) + b

1 = (18) + b

1 = 18 + b       [we can now solve for "b"]

1 = 18 + b

-18    - 18

-17 = b

so, we can re-write our equation so that we can graph it:

y = 3x - 17

we can now plug in x-values to graph this:

(you'll see these written in the table on the graph)

y = 3(0) - 17

y = -17

y= 3(1) - 17

y = 3 - 17

y = -14

y = 3(2) - 17

y = 6 - 17

y = -11

y = 3(3) - 17

y = 9 - 17

y = -8

y = 3(4) - 17

y = 12 - 17

y = -5

y = 3(-1) - 17

y = -3 - 17

y = -20

y = 3(-2) - 17

y = -6 - 17

y = -23

y = 3(-3) - 17

y = -9 - 17

y = -26

[there is an image attached of my graph]

hope this helps!! :)

The graph of the parent absolute value function decreases over Option B(–∞, 0) interval.

An absolute value function is defined as a function that contains an algebraic expression within absolute value symbols.

The absolute value function is f(x) = |x| is defined as,

f(x )

x = x < x = 0 < x = -x

Observe that the graph is V-shaped.

The vertex of the graph is (0,0).

The domain is the set of all real numbers.

The x-intercept and the y-intercept are both 0.

Hence, The graph of the parent absolute value function decreases over Option B(–∞, 0) interval.

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Answer:

The square root of 36 is a rational number. A rational number is a number that can be written as a fraction, a/b, where a and b are integers.

Answer:

Step-by-step explanation:

Hi, let me help you out.

The square root of 36 is 6.

6 belongs to the following subsets.

Overall, 6 belongs to 4 sub-sets.

__________________

Hope I helped! Best wishes.

___________________

The attached graph below can represent the scatter plot of the points. the correct option is B.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

Given:

(1,31), (2,8), (3, 38), (4, 14), (5, 22), (6, 31), (7, 27), (8, 47), (9,34), (10,3), (11, 33), (12, 35)

The above points would be plotted using the following scale such as:

x: axis -> 1 interval = 10 units

y: axis -> 1 interval = 10 units

The attached graph below can represent the scatter plot of the points. the correct option is B.

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