Factor the expression using the GCF 10w + 50z

A 40 gram sample of a substance that’s used for drug research has a k-value of 0.1472. The substance's half-life, in days, is approximately 4.7 days.

The half-life of a substance is the time it takes for half of the substance to decay or undergo a transformation. The half-life can be determined using the formula:

t = (0.693 / k)

where t is the half-life and k is the decay constant.

In this case, we are given that the sample has a k-value of 0.1472. We can use this value to calculate the half-life.

t = (0.693 / 0.1472) ≈ 4.7 days

Therefore, the substance's half-life, rounded to the nearest tenth, is approximately 4.7 days.

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The circumcenter can be present at where the  intersection of angle bisectors  is present and whereas incenter is present at the intersection of perpendicular bisectors of a line.

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and the sum of three angles is always 180 degrees.

They bisected of the angles and observed that the perspective bisectors crossed. They drew the 0.33 bisector and surprised to discover that it too went thru the same factor. They should have notion this became just a coincidence. but after they drew any triangle they located that the attitude bisectors continually intersect at a unmarried point! This ought to be the 'center' of the triangle. Or so they notion.

After some experimenting they observed different unexpected things. for instance the altitudes of a triangle additionally pass via a unmarried point (the orthocenter). but no longer the identical factor as earlier than. another middle! Then they discovered that the medians skip via but any other single factor. not like, say a circle, the triangle manifestly has more than one 'middle'.

The points wherein these various lines go are referred to as the triangle's points of concurrency.

Therefore, The circumcenter can be present at where the  intersection of angle bisectors  is present and whereas incenter is present at the intersection of perpendicular bisectors of a line.

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Answer: 1/2

Step-by-step explanation:  I believe the answer is 1/2 because for (2,-6) and (4,-7) the rise over run is 1/2. I don't know though

Answer: y= 3/2x - 6

Step-by-step explanation:

The equation is y=mx + b

The y-intercept is when x = 0, so on the table y-intercept = -6

The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2

to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)

now, the y-intercept occurs when x = 0, recheck the picture below.

Answer:

John got 13 questions right and 2 questions wrong.

Step-by-step explanation:

15 questions right equals 100%.

100 {divided by} 15 = % for each question right

Each question is worth (100 diveded by 15) 6.7%.

84% {diveded by} 6.7% = 12.5

100% - 84% = 16%

16% {divided by} 6.7% = 2.38

Because 12.5 has a higher dicimle value than 2.38 and when the amount he got right is added to the amount he got wrong it needs to equal 15, 12.5 becomes 13 and 2.38 becomes 2.

Answer:

\(\frac{n}{15} =\frac{84}{100}\)

\(n = \frac{21}{25}*5\)

\(n = \frac{21*15}{25}\)

\(n = \frac{315}{25}\)

\(n = \frac{63}{5} or 12.6\)

Answer:

The equation h>= 11/2 feet represents the required height of an individual to ride the roller coaster.

Your height = 5 1/3 feet tall

Required height in feet to ride a roller coaster = at least 5 1/2 feet

When the numerator exceeds or is equal to the denominator, the fraction is said to be improper. 5/2 and 8/5, for instance, are improper fractions.

Let h represent the height

h>= 5 1/2

Converting into an improper fraction

h>= 11/2 feet

Your height in improper fraction = 16/3 feet

Comparing the required height and your height we find that

Required height>Your height

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Answer:

72

Step-by-step explanation:

Answer:

72 degrees

Step-by-step explanation:

x = 360 - (108 + 121 + 59)

x = 360 - (108 + 180)

x = 360 - 288

x = 72 degrees

Hope that helps!

The length of side WX in Quadrilateral WXYZ is 3b units.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:

\(AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2} \)

Given the coordinates W(b, b), X(4b, b), Y(3b, 0), and Z(0, 0). The length of WX is:

\(WX=\sqrt{(b-b)^2+(4b-b)^2}=3b \)

The length of side WX in Quadrilateral WXYZ is 3b units.

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Answer:

0.1875

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

CY = CB + BY

     = 6b + 5a - b

     = 5a + 5b

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

CX = CA + AX

     = CA + \(\frac{1}{3}\) AB , find AB

AB = AC + CB

     = - 3a + 6b

     = 6b - 3a

Thus

CX = CA  + \(\frac{1}{3}\) AB

      = 3a + \(\frac{1}{3}\)(6b - 3a)

      = 3a + 2b - a

      = 2a + 2b

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

and

\(\frac{2}{5}\) CY

= \(\frac{2}{5}\) (5a + 5b)

= 2a + 2b = CX

Hence CX = \(\frac{2}{5}\) CY ⇒ Proven

Answer:

3.75 minutes

Step-by-step explanation:

Set up an equation where x is the number of minutes:

0.25x + 35 = 0.5x + 20

Solve for x:

0.25x + 35 = 0.5x + 20

35 = 0.25x + 20

15 = 0.25x

3.75 = x

So, both plans will cost the same with 3.75 minutes

Answer:

16 servings

Step-by-step explanation:

Divide 12 by 3/4

12/1 ÷ 3/4 = 12/1 x 4/3

12/1 x 4/3 = 48/3

Ans 16

Answer:

28.27

Step-by-step explanation:

C=2piR

c=(2)(3.1415926535)(4.5)

= approximately 28.27

28.27....................k?

The domain of the function is -4 ≤ x ≤ 1.5. The correct answer is option B.

What is Domain ?

A domain is the possible independent variable value of a function. In a two dimensional graph, the independent variable is x - axis.

From the given graph, tracing the line of the equation to the x - axis, the independent variable value span from x = -4 to x = 1.5.

So, we can say that the domain of the function is -4 ≤ x ≤ 1.5

Therefore, the correct answer is option B.

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Mean is used to measure the center of a set of values. It is good for summarizing values which are generally pretty similar to each other.

Mean is more usually referred to as the average. It is calculated by adding up all of the values and dividing by the total number of values. It is a good way for summarizing the center of values which are commonly very similar to each other.

The mean is the most often used measure of central tendency since it uses all values in the data set to give us an average. For data from skewed distributions, the median is better than the mean because it is not influenced by large values.

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Although part of your question is missing, you might be referring to this full question: _________ is used to measure the center of a set of values. It is good for summarizing values that are generally pretty similar to each other.

The x-intercept is 12 and represents the number of pieces and the y-intercept is 48 and represents the initial length.

A straight line on the coordinate plane is represented by a linear function.

In another word, a linear function is a function that varies linearly with respect to the changing variable.

As per the given function,

y = 48 - 4x

At x-intercept, y = 0

48 - 4x = 0

x = 12

Since x is the number of cuts so it represents that we can cut 12 pieces.

At y-intercept , x = 0

y = 48

Since 48 is the initial length so it represents the initial length.

Hence "The beginning length is represented by the y-intercept, which is 48, and the number of pieces is represented by the x-intercept, which is 12".

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The relationship between cosine and sine of complementary angles allows us to complete the given equation. Using the cofunction identity, we know that the cosine of an angle is equal to the sine of its complementary angle.

If cos(pi/3) = sin(), we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. To find the lengths of the missing sides in a right triangle, we can use the given information about the angle B and side a. Since cos(B) = 4/5, we know that the adjacent side (side b) is 4 units long and the hypotenuse is 5 units long. Using the Pythagorean theorem, we can find the length of the remaining side, which is the opposite side (side a). Given that a = 50, we can solve for the missing side length. In summary, using the cofunction identity, we can determine the value of the complementary angle to pi/3 by finding the sine of that angle. Additionally, using the given information about angle B and side a, we can find the missing side length by using the Pythagorean theorem.

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We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

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Use analytic methods,

(a) The local extrema,

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

Given that,

Use analytic methods (a) the local extrema, (b) the intervals on which the function is increasing, and (c) the intervals, then the function is,

A function's growing (or decreasing) periods match the periods when its derivative is positive (or negative). As a result, we can easily determine the intervals where a function increases or decreases by taking its derivative and analyzing it to determine if it is positive or negative.

Let f be continuous on an open interval (a , b) that contains a critical x-value.

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

Therefore,

Use analytic methods,

(a) The local extrema,

1) If f'(x) > 0 for all x on (a , c) and f'(x)<0 for all x on (c , b), then f(c) is a local maximum value.

2) If f'(x) < 0 for all x on (a , c) and f'(x)>0 for all x on (c , b), then f(c) is a local maximum value.

(b) The intervals on which the function is increasing

Write properties of function :

Increasing interval : ( - ∞ , 0 )

(c) The intervals on which the function is decreasing

Write properties of function :

Decreasing interval : ( 0 , ∞ )

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Population having expression Pn+1 = 1.04(Pn - G), there were approximately 220,863 moose in Alaska at the beginning of 2017.

What exactly are expressions?

In mathematics, an expression is a combination of numbers, variables, and operators that represents a mathematical quantity or relationship. Expressions can be composed of numbers, variables, and operators such as addition, subtraction, multiplication, division, and exponentiation.

Now,

We are given that:

At the beginning of 2015 (n = 0), P0 = 200,000

At the beginning of 2016 (n = 1), P1 = 200,720

The formula for calculating the number of moose at the start of the following year is Pn+1 = 1.04(Pn - G), where G is a constant.

To find the value of P2 (the number of moose at the beginning of 2017), we can use the formula with n = 1:

P2 = 1.04(P1 - G)

We need to find the value of G. We can use the information given to us at the beginning of 2015 and 2016 to form two equations:

P1 = 1.04(P0 - G)

P2 = 1.04(P1 - G)

We can use substitution to solve for G. Rearranging the first equation, we get:

P0 - G = (P1/1.04)

G = P0 - (P1/1.04)

Substituting this expression for G into the second equation, we get:

P2 = 1.04(P1 - (P0 - (P1/1.04)))

Simplifying and solving for P2, we get:

P2 = 220,863 (rounded to the nearest whole number)

Therefore,

                there were approximately 220,863 moose in Alaska at the beginning of 2017.

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Answer:

To divide 1.7 by 8.5, you will need to move the decimal point one place to the right in the divisor and the dividend. This would result in 17 and 85 as the new divisor and dividend respectively, and the division would be performed as 17/85.

Answer:

yes beacuse he have nice grapics and u can play with your friends.

Step-by-step explanation:

Answer: Yes it is very good i recommend getting it, but it takes a ton of time to get use to it.

Step-by-step explanation:

The appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-1 = 0.52

It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.

In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.

Therefore, the appropriate matching of the expression will be:

5.2 × 10 = 52

5.2 × 10² = 520

5.2 × 10³ = 5200

5.2 × 10^-¹ = 0.52

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Greetings! I hope this helps!

Answer:

D: 18 x 10^12

Explanation:

Scientific notation is basically simplifying a huge number. So you have 18 and 12 0's. So its 18 x 10^12 (to the twelfth power)

The dependent variable is:

(4) running for 30 minutes at a pace and at an incline adequate to keep the heart rate in the range of 70-80% of the age-adjusted maximum heart rate.

Both exercise program and percentage of the age-adjusted maximum heart rate are Dependent Variable.

Dependent variables are studied under the assumption or claim that they depend on the values ​​of other variables according to some law or rule (for example, by a mathematical function). In turn, the independent variables were not considered dependent on any other variable in the context of the associated experience.

In this sense, some common independent variables are time, space, density, mass, fluid velocity, and past values ​​of some observations of interest (e.g., population size) to predict future values ​​(dependent variable).

An example of a dependent variable is depressive symptoms, which depends on the independent variable (type of treatment). In an experiment, a researcher investigates the effect that changing an independent variable might have on a dependent variable.

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The f(z)/(z - z0) is analytic at z0 and its limit is f’ 0 (z0). This completes the proof of l'Hôpital's rule

To prove l'Hôpital's rule, we can use the Cauchy integral formula. Let D be a small disk centered at z0 and with radius r. Then we have:

f(z) = (1/2πi) ∫γ f(ζ)/(ζ - z) dζ,

where γ is the boundary of D oriented counterclockwise. Similarly, we have:

g(z) = (1/2πi) ∫γ g(ζ)/(ζ - z) dζ.

Since f(z0) = g(z0) = 0 and g' 0 (z0) ≠ 0, we can expand g(z) as:

g(z) = g’ 0 (z0) (z - z0) + O((z - z0)²).

Then, for z in D, we have:

f(z) g(z) = f(z) [g’ 0 (z0) (z - z0) + O((z - z0)²)]

= g’ 0 (z0) [f(z)/(z - z0)] (z - z0) + O((z - z0)³).

Note that the O((z - z0)²) and O((z - z0)³) terms are bounded by Cr² and Cr³, respectively, where C is a constant depending on f and g but independent of r. Using the Cauchy integral formula again, we have:

f(z)/(z - z0) = (1/2πi) ∫γ f(ζ)/(ζ - z) dζ

= (1/2πi) ∫γ [f(ζ) - f(z0)]/(ζ - z0) dζ.

Since f(z0) = 0, the integrand is bounded by M/r for some constant M depending on f but independent of r. Therefore, we have:

|f(z)/(z - z0)| ≤ M/r

for all z in D except z0. Thus, the term (z - z0) cancels out in the limit as z approaches z0, and we get:

limz→z0 f(z) g(z) = limz→z0 g’ 0 (z0) [f(z)/(z - z0)] (z - z0)

= g’ 0 (z0) f’ 0 (z0),

where we used the fact that f(z)/(z - z0) is analytic at z0 and its limit is f’ 0 (z0). This completes the proof of l'Hôpital's rule.

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