If we have 38 lambs born this spring at an average value of $125 each, what is the total value of the spring lamb
crop?

Answer:  BD = 5

Step-by-step explanation:

\(a^{2} +12^{2} =13^{2}\)

\(a^{2} =13^{2}-12^{2}\)

\(a = \sqrt{25}\)

\(a = 5\)

Therefore BD = 5

The statement that is true about the given sample is that;

B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,

We are given;

Sample size; n = 420

Sample proportion; p^ = 65%

Now, from the sample size and proportion, we can say that;

Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.

Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.

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Answer:the answer is b

Step-by-step explanation:

If you read the problem you would know

Answer:

64° (b)

Step-by-step explanation:

180°-116°=64°

I think

Answer:

b = -5 and c = -4

Step-by-step explanation:

The common ratio here is r = 20/(-5), or -4, and the first term, a(1), is -5.  Thus, the explicit formula is

a(n) = a(1)*r^(n -1)    (must use parentheses, as shown)

and so we have a(n) = -5*(-4)^(n - 1).  b = -5 and c = -4

The solution to the differential equation D²y(t) + 12 Dy(t) + 36y(t) = 2 \(e^{(-5t)}\), with initial conditions y(0) = 1 and Dy(0) = 0, is \(y(t) = (1 + 6t) e^{(-6t)}\).

To solve the given differential equation using the classical method, we can assume a solution of the form \(y(t) = e^{(rt)}\) and find the values of r that satisfy the equation. We then use these values of r to construct the general solution.

Using the classical method:

Substitute the assumed solution \(y(t) = e^{(rt)}\) into the differential equation:

D²y(t) + 12 Dy(t) + 36y(t) = \(2 e^{(-5t)}\)

This gives the characteristic equation r² + 12r + 36 = 0.

Solve the characteristic equation for r by factoring or using the quadratic formula:

r² + 12r + 36 = (r + 6)(r + 6)

= 0

The repeated root is r = -6.

Since we have a repeated root, the general solution is y(t) = (c₁ + c₂t) \(e^{(-6t)}\)

Taking the first derivative, we get Dy(t) = c₂ \(e^{(-6t)}\)- 6(c₁ + c₂t) e^(-6t).\(e^{(-6t)}\)

Using the initial conditions y(0) = 1 and Dy(0) = 0, we can solve for c₁ and c₂:

y(0) = c₁ = 1

Dy(0) = c₂ - 6c₁ = 0

c₂ - 6(1) = 0

c₂ = 6

The particular solution is y(t) = (1 + 6t) e^(-6t).

Using the Laplace transform method:

Take the Laplace transform of both sides of the differential equation:

L{D²y(t)} + 12L{Dy(t)} + 36L{y(t)} = 2L{e^(-5t)}

s²Y(s) - sy(0) - Dy(0) + 12sY(s) - y(0) + 36Y(s) = 2/(s + 5)

Substitute the initial conditions y(0) = 1 and Dy(0) = 0:

s²Y(s) - s - 0 + 12sY(s) - 1 + 36Y(s) = 2/(s + 5)

Rearrange the equation and solve for Y(s):

(s² + 12s + 36)Y(s) = s + 1 + 2/(s + 5)

Y(s) = (s + 1 + 2/(s + 5))/(s² + 12s + 36)

Perform partial fraction decomposition on Y(s) and find the inverse Laplace transform to obtain y(t):

\(y(t) = L^{(-1)}{Y(s)}\)

Simplifying further, the solution is:

\(y(t) = (1 + 6t) e^{(-6t)\)

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the given expression is'

y = 13x - 5

compare this equation with the standard equation

y = mx + c

here m is slope

so m = 13

thus, the slope of the equation is m = 13

Answer:

4/5 book per hour

Step-by-step explanation:

In this question, we are to rewrite (2/5)/(1/2) as unit rate.

To write this as a unit rate, what we need to do

is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5 books/hour

Step-by-step explanation:

4/5 books/hour

The number of students at the mariemont middle school in whole number is 360 students.

Exponents refers to the power to which a number, symbol or expression is to be raised.

Number of students at the mariemont middle school = 2³ × 3² × 5

= (2 × 2 × 2) × (3 × 3) × 5

= 8 × 9 × 5

= 360 students

In conclusion, there are 360 total number of students in mariemont middle school.

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The function g(x) = √x / (x³ - 5x² - 14x) is continuous for all values of x greater than 7, which can be represented in interval notation as (7, ∞).

To determine the values of x for which the function g(x) is continuous, we need to consider any potential points of discontinuity. In this case, the function is a rational function, so we need to identify any values of x that would make the denominator equal to zero, as division by zero is undefined.

The denominator of g(x) is x³ - 5x² - 14x. To find the values of x that make the denominator zero, we can factor it as x(x² - 5x - 14) = 0. Solving this equation, we find that x = 0 and x = 7 are the values that make the denominator zero.

However, since the question specifies that x > 7, the interval of interest is x > 7. In this interval, the denominator of the function is always positive, ensuring that there are no points of discontinuity. Therefore, the function g(x) is continuous for all values of x greater than 7, which can be represented as (7, ∞) in interval notation.

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u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)

Given data,

Let u [-16 18 10] and A [2 -3 1 -4 5 1]

u in the plane in set of real numbers rℝcubed3 spanned by the columns of A,

So,

We can write,

u = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\) and A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)

Then,

AX = b

w = \(\left[\begin{array}{ccc}2&-3&-16\\1&-4&18\\5&1&10\end{array}\right]\)

A = \(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)

null A = \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)

\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)    \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= \(\left[\begin{array}{ccc}0&\\0&\\0&\end{array}\right]\)

2\(x_{1}\) - 3\(x_{2}\) = 0

\(x_{1}\) - 4\(x_{2}\) = 0

5\(x_{1}\) + 1\(x_{2}\) = 0

We can solve the equations,

2\(x_{1}\) - 3\(x_{2}\) = 0

\(x_{1}\) - 4\(x_{2}\) = 0

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

\(x_{1}\) - 7\(x_{2}\) = 0

\(x_{1}\) = 7\(x_{2}\)

We can substitute \(x_{1}\) values,

2\(x_{1}\) - 3\(x_{2}\) = 0

2*7\(x_{2}\) - 3\(x_{2}\) = 0

\(14x_{2}\) - 3\(x_{2}\) = 0

11\(x_{2}\) = 0

\(x_{2}\) = 0

\(\left[\begin{array}{ccc}2&-3\\1&-4\\5&1\end{array}\right]\)    \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\)= = \(\left[\begin{array}{ccc}-16&\\18&\\10&\end{array}\right]\)

2\(x_{1}\) - 3\(x_{2}\) = -16

\(x_{1}\) - 4\(x_{2}\) = 18

5\(x_{1}\) + 1\(x_{2}\) = 10

We can solve the matrix equations,

2\(x_{1}\) - 3\(x_{2}\) = -16

\(x_{1}\) - 4\(x_{2}\) = 18

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

\(x_{1}\) - 7\(x_{2}\) = 2

\(x_{1}\) = 2 + 7\(x_{2}\)

\(x_{1}\) = 2 + 7(0)

\(x_{1}\) = 2

2\(x_{1}\) - 3\(x_{2}\) = -16

2*2 - 3\(x_{2}\) = -16

4 - 3\(x_{2}\) = -16

- 3\(x_{2}\) = -16 - 4

- 3\(x_{2}\) = -20

3\(x_{2}\) = 20

\(x_{2}\) = 20/3

\(x_{2}\) = 6.66

Therefore,

u in the plane in set of real numbers rℝcubed3 spanned by the columns, then the one solution matrix is,   \(\left[\begin{array}{ccc}x_{1} &\\x_{2} &\\\end{array}\right]\) = \(\left[\begin{array}{ccc}2&\\6.66&\\\end{array}\right]\)

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The equation of the least squares line for the given data is y = -0.106x + 8.90.

To find the equation of the least squares line, we need to follow these steps:

1: Calculate the mean of the x-values and y-values.

mean of x-values = (44.20 + 42.25 + 45.50 + 40.30 + 39.00 + 35.75 + 37.70) / 7 = 40.71

mean of y-values = (1.30 + 3.25 + 0.65 + 6.50 + 5.85 + 8.45 + 6.50) / 7 = 4.49

2: Calculate the deviations from the mean for both x-values and y-values.

x-deviations = [44.20 - 40.71, 42.25 - 40.71, 45.50 - 40.71, 40.30 - 40.71, 39.00 - 40.71, 35.75 - 40.71, 37.70 - 40.71]

y-deviations = [1.30 - 4.49, 3.25 - 4.49, 0.65 - 4.49, 6.50 - 4.49, 5.85 - 4.49, 8.45 - 4.49, 6.50 - 4.49]

3: Calculate the product of deviations for each pair of x and y. product of deviations = [-3.49×-2.19, -1.44 ×-0.24, 4.79×-3.78, -0.41×2.01, -1.72×1.36, -4.96×3.96, -3.01×2.01]

4: Calculate the sum of the products of deviations. sum of products of deviations = -56.15

5: Calculate the sum of squared deviations for x. sum of squared x-deviations = 527.59

6: Calculate the slope of the least squares line. slope = sum of products of deviations / sum of squared x-deviations = -56.15 / 527.59 = -0.106

7: Calculate the y-intercept of the least squares line.

y-intercept = mean of y-values - slope × mean of x-values = 4.49 - (-0.106) × 40.71 = 8.90

8: Write the equation of the least squares line.

y = -0.106x + 8.90

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Answer:

Boiling is your answer

Step-by-step explanation:

Boling is when you heat up water to form steam which is called boiling

Answer:

water => water vapor

rubbing alcohol => (vapor)

Step-by-step explanation:

Answer:

La fórmula para el área total de superficie de un cono recto es T. S. A. = π rl + π r 2 . Ejemplo 2: Encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Answer:

La fórmula para el área total de superficie de un cono recto es TSA = π rl + π r

2. Ejemplo

2: encuentre el área lateral de superficie de un cono recto si el radio es de 6 pulgadas y la altura de inclinación es de 10 pulgadas.

Step-by-step explanation:

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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They have the same x-intercept but different end behavior as

Answer:A.

They have the same x-intercept but different end behavior as x approaches ∞.

Step-by-step explanation:

Answer:

-4 :)

Step-by-step explanation:

2(\(\frac{1}{2}\)\()^{3}\) + 3\(\frac{1}{4}\) - 5 = -4

Applying the relation between the force and the distance between the two objects , the force between the objects when the distance between the objects is 7 meters is 0.21 N.

Force is a physical quantity that describes the interaction between two objects. It is the push or pull exerted on an object that changes or tends to change its motion. Force is measured in units of Newtons (N) and it can be a vector quantity, meaning that it has both magnitude and direction.

The unit of measurement for force is the Newton (N). It is important in physics because it is one of the fundamental quantities used to describe the motion and interactions of objects. Forces are responsible for changes in an object's motion, such as acceleration or deceleration, and they play a key role in many physical phenomena, including gravity, friction, and tension.

As given in the question , the force is 0.65 Newtons when the distance between the objects is 4 meters.

Let the force when the distance is 7 meters be F2.

So using the relation between the force and the distance , i.e Force is inversely proportional to the square of distance between the objects.

\(\frac{F2}{0.65} =\frac{4^{2} }{7^{2} }\)

Therefore, F2 = 0.21 Newtons

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Answer:

1&2 Perpendicular

1&3 Parallel

2&3 Perpendicular

Step-by-step explanation:

I put it in the Desmos Calculator

Answer:

-1/3x

Step-by-step explanation:

the slope formula is y divided by x. it goes down 1 unit and right 3 units. so

-1 divided by 3 is -\(\frac{1}{3}\)

The population of bacteria after 672 hours is 36000.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the given question we have

The number of bacteria double is 336 hours.

And, the current population of bacteria is 9,000.

Therefore,

The population of bacteria after 336 hours = 9,000×2 = 18,000

⇒ the population of bacteria after 672 hours  = 18000 × 2 = 36000  

Hence, the population of bacteria after 672 hours is 36000.

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Answer:

for t-shirts $8,000 and jeans $22,000 and shorts $1,500

Step-by-step explanation:

$31,500

Answer: The answer will be $31500

Step-by-step explanation:

1,000 t shirts is $8,000

1,000 jeans is $22000

100 shorts is $1500.

altogether that is $31500

The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

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70% of the days in San Diego are sunny.

In San Diego, the ratio of cloudy days to sunny days is 3:7.

To find the percentage of sunny days, we need to determine the proportion of sunny days out of the total number of days.

Let's assume that there are a total of 10 days.

Based on the ratio, we can say that 3 out of 10 days are cloudy, and 7 out of 10 days are sunny.

To calculate the percentage of sunny days, we divide the number of sunny days (7) by the total number of days (10) and multiply by 100.

So, \((\frac{7}{10} )\times 100= 70\%\).

Therefore, approximately 70% of the days in San Diego are sunny.

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Answer:

Given info in numersical form:

(14+42)÷(7+4)²

= 56÷11²

= 56÷(11×11)

= 56÷121

= 0.46

The optimal clutch size is 1.

a)The survivorship of an offspring, S, decreases with the clutch size, C.

Therefore, the formula is given as:

S = 0.5 - 0.1C

We need to find the optimal clutch size for this bird species.

We can do this by differentiating S with respect to C, and equating the result to zero.

That is:S = 0.5 - 0.1C => dS/dC = -0.1

Equating dS/dC to zero gives:-0.1 = 0 => C = 0

This implies that there is no optimal clutch size for this species.

However, since C represents clutch size, it must be a positive integer.

Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is

1.b)The optimal clutch size for a species with a survivorship-clutch size relationship of the form S = a - bC can be obtained by following the same procedure as above.

We can differentiate S with respect to C, and equate the result to zero.

That is:S = a - bC => dS/dC = -b

Equating dS/dC to zero gives:-b = 0 => C = 0

This implies that there is no optimal clutch size for this species. However, since C represents clutch size, it must be a positive integer. Therefore, we can choose a clutch size of 1, which will result in the highest survivorship of offspring. Hence, the optimal clutch size is 1.

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Answer:

K = 3 D

( K − 4 ) = 5 ( D − 4 )

 k-4=5d-20

5D-k=20-4

5D-3D=16

2D=15

D=8

therefor Daniel has to be 8

Answer:

Daniel is 8 years old now.

please see the attached picture for full solution..

Hope it helps..

Good luck on your assignment...

Answer:

Step-by-step explanation:

A direct variation is a linear relationship between variables so they have a constant ratio. It is a special case of the slope-intercept form y =mx +b, where b = 0.

Answer:

The graph that shows the solution to -3x-7<20 is B