Take the first and second derivatives of these where A and B are constant place holders.
y = axe⁻ˣ - bxe⁻ˣ
y' =
y" =

Answer:

Step-by-step explanation:

Firstly, we can simplify the ratio of boys to girls to  

1

:

2

.

Then, to find out how many students each ratio represents, we add up  

1

and  

2

to get  

3

(

1

+

2

=

3

).

By dividing  

3

by the number of students, we can find how many students ONE ratio represents:  

24

3

=

8

.

So ONE ratio is equal to  

8

boys. Since our simplified ratio of boys to girls is  

1

:

2

already, we do not have to do further multiplying - the number of boys is simply  

8

.

For the girls, simply multiply  

2

by  

8

to get  

16

.

Check:  

8

boys

+

18

girls

=

24

students

.

The independent variable for Scenario A is given as follows:

a. The employee benefits package.

In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:

In the context of this problem, we have that the input and the output of the relation are given as follows:

Hence the independent variable for Scenario A is given as follows:

a. The employee benefits package.

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Answer:

81 and 9 is the answer I got hope it helps

The population of the town will be 64000 in 2024.

In this problem we have the case of an exponential model representing the population of a town. Exponential models are represented by the following formula:

y = a · rⁿ

Where:

According to the statement, the town has an initial population of 250, represented by the initial population (a), and increases its population by a factor of 2, represented by the common rate (r).

If we know that a = 250, r = 2 and n = 8, then the estimated population of the town in 2.024, that is, 8 years after 2.016 is:

y = 250 · 2⁸

y = 250 · 256

y = 64000

The population will be 64000 in 2024.

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The length of the line segment ML is 15 cm.

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.

From the given information,

m∠LJ = m∠LM = 90°.

So, m∠LJ + m∠LM = 180°.

Line segment ML is parallel to JK.

Therefore, NP is the midline of the trapezoid.

ML + JK = 2NP.

JK = 2NP - ML.

9 = 24 - ML.

ML = 15 cm.

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Answer:

x²+15x+26

Step-by-step explanation:

zeros are x=-13, x=-2

x=-13 then x+13=0

x=-2 then x+2=0

(x+13) (x+2)

x²+15x+26

y=ax²+bx+c

The matrix is singular when x = 9.

A matrix is said to be singular if it is not invertible, which means that its determinant is zero. The determinant of a 2x2 matrix [a b; c d] is given by ad - bc.

In the given matrix A = [3 x; -2 -6], the determinant is (3)(-6) - (x)(-2) = -18 + 2x.

Therefore, A is singular when -18 + 2x = 0, which gives x = 9. However, we also need to check if x = 1/2 satisfies the condition for singularity.

When x = 1/2, the determinant of A is (3)(-6) - (1/2)(-2) = -18 + 1 = -17. Therefore, A is not singular when x = 1/2.

Hence, the matrix A is singular only when x = 9.

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Answer:

105 teachers

Step-by-step explanation:

15:1  --> 1575:105

1575/15=105

Hope this helps :)

The equivalent value of the expression is y = ( 4x - 15 ) / 3

Given data ,

Let the equation be represented as A

Now , the value of A is

4x - 3y = 15

On simplifying the equation , we get

4x - 3y = 15

So , the left hand side of the equation is equated to the right hand side by the value of ( 15 )

Adding 3y on both sides , we get

3y + 15 = 4x

Subtracting 15 on both sides , we get

3y = 4x - 15

Divide by 3 on both sides , we get

y = ( 4x - 15 ) / 3

Therefore , the value of y = ( 4x - 15 ) / 3

Hence , the expression is y = ( 4x - 15 ) / 3

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Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Answer:

Step-by-step explanation:

12.6/4.2 = 3

Answer:-3

Step-by-step explanation:

Answer:

3b - 2

Step-by-step explanation:

b = breadth

Length = 3b - 2

When x = 4, the given polynomial is equal to zero.

The given polynomial is x³ 3x² 4x 12.

To find the value of x for which the polynomial is equal to zero, we need to solve the equation

x³ 3x² 4x 12 = 0

This can be done by factoring the polynomial, which gives us

(x – 4)(x² + 3x + 3) = 0

The value of x for which the polynomial is equal to zero is x = 4.

To prove this, we can substitute x = 4 in the original equation and verify.

x³ 3x² 4x 12 = 0

(4)³ 3(4)² 4(4) 12 = 0

64 + 48 + 16 + 12 = 0

130 = 0

This shows that when x = 4, the given polynomial is equal to zero.

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Answer:

\(f(t) = 7.23( {1.0114}^{t} )\)

t = 0 represents January 1, 2014

(a)

\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

\(7.23( {1.0114}^{t} ) = 10\)

\(t = about \: 28.61 \: years\)

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).

Answer: The average growth rate of customers in the queue is 30 per hour

Step-by-step explanation:

Given that:

Step1:

number of customers arrived per hour = 100

The capacity of the coffee shop = 80

Step2:

let us assume at the beginning, the coffee shop is empty. Only 80 of the 100 customers that arrive in the first hour may be attended to. There are 20 consumers in line, so they must wait for the next hour.

Another 100 clients show up during the second hour, but there are already 20 people in line from the first hour. As a result, although the coffee shop needs to serve 120 customers, it can only do so at a rate of 80 each hour. Forty (40) consumers must wait in line for the next hour.

Therefore for two hours, The coffee shop's customer line is extending with an average growth rate of:

(20 customers per hour + 40 customers per hour) / 2 hours = 30 customers per hour

Therefore, the queue of customers grows at a rate of 30 customers per hour during the morning rush.

Answer:

NO!

Step-by-step explanation:

They are not equivalent. We can check this. If you rewrite them as fractions 13/14 and 1/2, you can cross multiply and see if they are equal. Which they are not. Also, you could just guess.... think of 13:14 as 13 out of 14. And 1:2 as 1 out of 2. You can tell that 13/14 is much greater than 1/2.

Answer:

C. The graph of g(x) is the graph of f(x) horizontally stretched by a factor of 5.

Step-by-step explanation:

Answer:

6.25 inch by 20/3 inch (6.67 inch).

Explanation:

Use the scale as a conversion factor.

Scale: 1 inch = 12 feet

Conversion factor: by the division property of equaltiy you can divide each side by 12 feet

1 inch / 12 feet = 1

Convert 75 feet:

75 feet × 1 inch / 12 feet = 6.25 inch

Convert 80 feet:

80 feet × 1 inch / 12 feet = 20/3 inch ≈ 6.67 inch

Thus, the dimesions to make a scales drawing of 75 feet by 80 feet are 6.25 inch and 20/3 inch (6.67 inch).

Answer:

1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

(1,0)

(x,y)

x-intercept is 1

Let s be the length of an edge of the cube. Then, by the Pythagorean theorem, we have:

s^2 + s^2 = (10 cm)^2

2s^2 = 100 cm^2

s^2 = 50 cm^2

s = sqrt(50) cm

Also, by the Pythagorean theorem, we have:

s^2 + s^2 + s^2 = (150 cm)^2

3s^2 = 22500 cm^2

s^2 = 7500 cm^2

s = sqrt(7500) cm

Therefore, the length of an edge of the cube is:

s ≈ 86.6 cm (rounded to the nearest tenth)

Answer:

Let's use the Pythagorean theorem to solve this problem.

If the diagonal of a face measures 10 cm, then we know that the edge of the cube is given by:

edge = 10/√2

Simplifying this expression, we get:

edge = 5√2

Now, we can use the diagonal of the cube to find the length of an edge. If the diagonal of the cube measures 150 cm, then we have:

edge√3 = 150

Substituting the expression we found for the edge, we get:

5√6 = 150/√3

Simplifying this expression, we get:

edge ≈ 19.2 cm

Rounding to the nearest tenth, we get the final answer:

The length of an edge of the cube is approximately 19.2 centimeters.

mark me brilliant

Answer:

I'm pretty sure the answer is "D".

Step-by-step explanation:

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(a-3b+4\)

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

\(\boxed{\text{Simplifying the Equation...}}\\\\\frac{1}{2}(2a-6b+8)\\----------------\\\rightarrow\frac{1}{2}* 2a = a\\\\ \rightarrow\frac{1}{2}*-6b = -3b\\\\\rightarrow\frac{1}{2}*8 = 4\\\\\text{\underline{Therefore:}}\\\\\frac{1}{2}(2a-6b+8)\rightarrow \boxed{a-3b+4}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: a-3b+4

Step-by-step explanation:

Credits to guy up there

A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

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a) The utility depends on both health (H) and consumption of other goods (X).

b) The coefficient is negative, indicating a negative relationship between two variables.

c) Health (H) is greater than zero, suggesting a positive value for health.

d) Health (H) is a function of a variable denoted as 'm'.

e) The variable 'm' is greater than zero and the coefficient is negative.

f) The product of two variables, 'm' and 'm', is negative.

a) The expression in (a) is reasonable as it acknowledges that utility is influenced by both health and consumption of other goods. It recognizes that happiness or satisfaction is derived not only from health but also from other aspects of life.

b) The expression in (b) suggests a negative coefficient and a negative relationship between the variables. This could imply that an increase in one variable leads to a decrease in the other. The reasonableness of this relationship would depend on the specific variables involved and the context of the theoretical framework.

c) The expression in (c) states that health (H) is greater than zero, which is reasonable as health is generally considered a positive attribute that contributes to well-being.

d) The expression in (d) indicates that health (H) is a function of a variable denoted as 'm'. The specific nature of the function or the relationship between 'm' and health is not provided, making it difficult to assess its reasonableness without further information.

e) The expression in (e) states that the variable 'm' is greater than zero and the coefficient is negative. This implies that an increase in 'm' leads to a decrease in some other variable. The reasonableness of this relationship depends on the specific variables involved and the theoretical context.

f) The expression in (f) suggests that the product of two variables, 'm' and 'm', is negative. This implies that either 'm' or 'm' (or both) are negative. The reasonableness of this expression would depend on the meaning and interpretation of the variables involved in the theoretical framework.

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Answer:

261

I hope this helps!