A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statement below true of false. The rate of population growth each year is 166% O True O False​

Answer:

the slope of the coordinates will be 0-0/4-1 then you will get the coordinates of the graph

Using a linear function, it is found that the product rs is rs = 81.

A linear function is modeled by:

y = mx + b

In which:

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

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First function - The function is not continous on [0, 5] because h(5) is not defined.

Second function - There are no discontinuities.

In this problem we have two functions, whose continuity has to be checked. The first equation is a rational function and the second one is a polynomic function. There is a discontinuity in a function f at a given point if and only if the function evaluated at such point does not exist.

The discontinuities of rational functions are those x-values such that the denominator equals zero. The first function is defined for the interval [0, 5] and it is continuous if the function exists for all value of the interval. Thus:

5 - x = 0

x = 5

The rational function has a discontinuity at x = 5. The function is not continous on [0, 5] because h(5) is not defined. (Correct choice: C)

In accordance to algebra, polynomic functions are continuous as there exist a result for all value of x. There are no discontinuities.

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Answer:

0.016 decimeters

Step-by-step explanation:

16 x 10^-3 = 0.016dm

Answer:

0.016 hm

Step-by-step explanation:

i dont cap

there's relationship between the points upper left and points in d lower left

Step-by-step explanation:

points in upper right nd points in lower left

the smaller of A+B=a+b

yes

Answer:

I think A

Step-by-step explanation:

Answer:

50x+100=y
y=550

Step-by-step explanation:

Since the first caller can win $100, you add 100 onto the end. After you add 50 for every person who answered incorrectly. X being amount tried/answered incorrectly, and Y being the amount you can win at that given time

Answer:

A. a10=100+(10-1)50

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

We can determine the number of different sets of reports by determining how many possible options are available per subject and then multiplying them.

There are 5 total options for geography, 3 for English, 1 for sciences, and 2 for maths. Multiplying these gets us 30.

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Calculate total choices for individual then multiply

Total choices

Option C

Answer:

5

Step-by-step explanation:

1.25+1.25+1.25+1.25=5

(4 wks/mo)(1/2 lb/wk) = 2 lb/mo

(4_1/3 wks/mo)(1/2 lb/wk) = 2.17 lb/mo

Women who visit Shania's gym three times per week have the ability to drop two pounds in a month.

If women visit Shania's gym three times a week and can lose 1/2 pound per week, we can calculate how many pounds they can lose in a month (assuming a month has four weeks on average).

The rate of weight loss is 1/2 pound per week. So in one month, which is four weeks, the weight loss would be:

Weight loss per week × Number of weeks in a month = (1/2) × 4 = 2 pounds

Therefore, women visiting Shania's gym three times a week can potentially lose 2 pounds in a month.

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Answer:

  2 units

Step-by-step explanation:

The given equation graphs as a parabola that opens to the right. It can be written in the form ...

  (4p)x = ay² +by +c

When the equation is written in the form ...

  (4p)x = ay² +by +c

The value of p is the focus-to-vertex distance. The length of the latus rectum (focal chord) is 4 times the value of p, so is the coefficient of x in the equation.

Rewriting the given equation to the form shown above, we have ...

  2x = y² +6y +13

That is, the value of 4p, the coefficient of x, is 2. The length of the focal chord is 2 units.

15%

{100-(55+30)}%

={100-(85)}%

=15%

Answer:

1680

Step-by-step explanation:

First do the prime factorization:

16=2x2x2x2

28=2x2x7

42=2x3x7

60=2x2x3x5

To find least common multiple (LCM), write down all prime factors of one of the number and multiply by factors from other numbers that was not in that number:

LCM=2x2x3x5x7x2x2=1680

If m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.

Supplementary angles are the angles whose sum is equal to 180°. The angles formed when one straight line intersects the other, on the point of intersection on the same side of any line are always supplementary.

In the given question, AB and DE are two straight lines intersecting at point C. ∠ACD and ∠ACE lie on the same side of the line DE, thus they are supplementary angles.

Therefore, m ∠ACD + m ∠ACE = 180°.

But we know that m ∠ACD = 100°. So,

m ∠ACD + m ∠ACE = 180°,

or, 100° + m ∠ACE = 180°,

or, m ∠ACE = 180° - 100° = 80°.

Therefore, if m ∠ACD = 100°, then m ∠ACE = 80°, as ∠ACD and ∠ACE are supplementary angles.

For the complete question, check attachment 1.

For reference to the solution, check attachment 2.

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The values of the piecewise function are f(-6) = 6 and f(2) = 1

The complete question is in the attached image.

The value x = -6 is in the domain: -8 <= x < 1

The function at this domain is:

f(x) = |x|

So, we have:

f(-6) = |-6|

Evaluate

f(-6) = 6

Also, we have:

The value x = 2 is in the domain: x >= 1

The function at this domain is:

f(x) = 3

So, we have:

f(2) = 1

Hence, the values of the piecewise function are f(-6) = 6 and f(2) = 1

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Answer:

Step-by-step explanation:

12x −3y=36  ⇔ 3y = 12x - 36

                          y = 4x - 12

y = 0 ⇔ 4x - 12 = 0 ⇔ 4x = 12 ⇔ x = 12/4 = 3

So (0 ; - 12) and (3 ; 0)

Answer:

x-intercept=3,  y-intercept=-12

Step-by-step explanation:

at x-intercept y=0 such that:

12x-3(0)=36

12x=36

[tex]x=\frac{36}{12} =3[/tex]

additionally, at y-intercept x=0 such that

12(0)-3y=36

-3y=36

[tex]y= \frac{36}{-3}=-12[/tex]

Answer:

B

Step-by-step explanation:

I assume this should look like

V(x) = -x² + 2x - 4

W(x) = -x³ + 2x² + x + 5

when doing arithmetic operations with whole functions, we simply do these operations with the whole expressions :

V(x) × W(x) =

(-x² + 2x - 4) × (-x³ + 2x² + x + 5) =

= x⁵ - 2x⁴ - x³ - 5x² - 2x⁴ + 4x³ + 2x² + 10x + 4x³ - 8x² - 4x - 20 =

= x⁵ - 4x⁴ + 7x³ - 11x² + 6x - 20

The conclusion is valid in this experiment because the sample is homogenous and an experimental study was performed.

It should be noted that an experimental study is one in which there is a dependent variable and there is a dependent variable. Also a control is used to establish the validity of the results.

In this case, the dependent variable is the level of softness after treatment while the independent variable is the type of water softener used.

The conclusion is valid in this instance because the sample is homogenous and an experimental study was performed.

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Answer:

-108

Step-by-step explanation:

[tex] - 3 \times { (2 - ( - 4)) }^{2} = \\ - 3 \times ( {2 + 4})^{2} = \\ - 3 \times 36 = - 108[/tex]

Answer:

108 is correct hjgbjbvmbhbjnnn

Answer:

Domain: All Real Numbers

Step-by-step explanation:

Since this function is a linear function, it will use any x-value in order to continue with being a linear function. Therefore, if the line goes on for infinity, every x-value will be used for infinity. Therefore, the domain will be All Real Numbers since every number on the x-axis has a possibility of being used.

Answer:

C. 180°

Step-by-step explanation:

The degree measure of the arc of a full circle is 360°

A diameter divides a circle into two parts of equal size, so the degree measure of each part is half of the degree measure of a full circle.

360°/2 = 180°

The adjusted recipe for 6scones is shown as;

4.2 cup white sugar, cup butter,

7.2 teaspoons vanilla essence,

4.2 cups flour,

7.2 eggs,

37.2 teaspoons baking powder, cup of milk

Fractions are written as a ratio of two integers. Given the recipe for 18scones as

1 cup white sugar, cup butter,

2 teaspoons vanilla essence,

1 cups flour,

2 eggs,

12 teaspoons baking powder, cup of milk

For the given 60 scone;

4.2 cup white sugar, cup butter,

7.2 teaspoons vanilla essence,

4.2 cups flour,

7.2 eggs,

37.2 teaspoons baking powder, cup of milk

This given the adjusted recipe for 60 scones

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[tex]\huge\boxed{94\%}[/tex]

Simply use division to solve this problem.

[tex]\dfrac{\$658}{\$700}=0.94[/tex]

Now, multiply this by 100 to get a percentage.

[tex]0.94=\large\boxed{94\%}[/tex]

Using it's concept, the domain and the range of the function are given as follows:

The function for this problem is:

[tex]y = \sqrt{4 - x}[/tex]

The square root is defined only for non-negative numbers, hence the domain is given as follows:

[tex]4 - x \geq 0 \rightarrow x \leq 4[/tex]

The outputs of the square root function are also non-negative numbers, hence the range is given as follows:

[tex]y \geq 0[/tex].

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Answer: its d

Step-by-step explanation:

above answer is wrong and D is right.

3) Alternate interior angles theorem

4) Definition of congruent angles

Answer:

. It will curl without heat. You Never attempt to use hot tools, like a curling iron, on a synthetic wig – unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig using the method below.

Step-by-step explanation:

Answer:

Yes, it is possible to curl a synthetic wig. But you should never attempt to use hot tools, like a curling iron, on a synthetic wig, unless the label specifically says that the wig can tolerate heat. If not, you can use foam rollers to curl the wig.

Answer:

y = -3 and y = -3

or y = -3 with a multiplicity of 2

Step-by-step explanation:

[tex](y+4)^2-2(y+4)+1[/tex]

If you want to factor this, heres what you do:

[tex](y+4)(y+4)-2(y+4)+1[/tex]

[tex]y^2+8y+16-2y-8+1[/tex]

[tex]y^2+6y+9[/tex]

Then factor:

[tex](y+3)(y+3)[/tex]

[tex](y+3)^2[/tex]

The value of y:

y + 3 = 0 and y + 3 = 0

y = -3 and y = -3

or y = -3 with a multiplicity of 2

The solution of the given function are; y = -3 and y = -3 or y = -3 with a multiplicity of 2.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given function is;

[tex](y + 4)^2 -2(y + 4) + 1[/tex]

To solve;

[tex](y + 4)(y + 4) -2(y + 4) + 1\\\\y^{2} + 8y + 16 - 2y -8 + 1\\\\y^{2} + 6y + 9 \\[/tex]

Then the factor are;

(y + 3)(y + 3)

The value of y:

y + 3 = 0 and y + 3 = 0

y = -3 and y = -3

or y = -3 with a multiplicity of 2

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Answer:

First option

Explanation:

The inverse of a graph is its reflection on the line y = x.

This means that it is the graph that you get by reflecting the original graph on a line with the equation y = x.

In the picture below, we can see a function (red graph), its inverse (blue graph) and the line (green) that the two graphs are reflected on.

From the picture below, we can see that the shapes of the graph of a function and its inverse is similar and correspond to the shape given as the first option in the question. Therefore, the first option is the answer.

Answer:

a) If the question is 18 and 13, then 1. If 18 and 3, then 3.

b) 10

c) 5

d) 15

e) 11

f) 20

Have a nice day :)