1)Find the scale factor of Figure A to Figure B.
2) Solve for the missing length of x.

Answer:

The graph is not a function.

Step-by-step explanation:

Using the "vertical line test" to attach a vertical line to each of the points on the graph, we will find that the vertical line that passes through (0,0) has ot one, but two points on it. Remember, if the vertical line passes through more than one points, the graph is not a function. As we know, the vertical line passes through two points, those being (0, -4) and (0, -3). So, we can conclude that the graph is not a function.

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

To know more about Number visit:

brainly.com/question/3589540

#SPJ11

The line integral of F over C has a value of 10368.

To evaluate the line integral of F ⋅ ds over the curve C, we can follow these steps:

a. Convert the line integral F ⋅ ds to an ordinary integral:

The line integral of F ⋅ ds over C can be expressed as the integral of the dot product of F and the tangent vector dr/dt with respect to t:

∫ F ⋅ ds = ∫ F ⋅ (dr/dt) dt

b. Evaluate the integral in part (a):

Given F = (4x, 5%) and C defined by r(t) = (4t, 21%), we need to substitute the components of F and the components of r(t) into the integral:

∫ F ⋅ (dr/dt) dt = ∫ (4x, 5%) ⋅ (4, 21%) dt

                = ∫ (16t, 105%) ⋅ (4, 21%) dt

                = ∫ (64t + 105%) dt

Now, let's evaluate the integral:

∫ (64t + 105%) dt = 32t^2 + 105%t + C

c. Convert the line integral F ⋅ ds to an ordinary integral:

To convert the line integral F ⋅ ds to an ordinary integral, we express the differential ds in terms of dt:

ds = |dr/dt| dt

  = |(4, 21%)| dt

  = √(4^2 + (21%)^2) dt

  = √(16 + 0.21) dt

  = √16.21 dt

Therefore, the line integral F ⋅ ds can be expressed as:

∫ F ⋅ ds = ∫ (32t^2 + 105%t + C) √16.21 dt

The value of the line integral of F over C is 10368.

To know more about line integral refer here:

https://brainly.com/question/30763905?#

#SPJ11

Based on the information provided, the appropriate population for generalizing conclusions from the study would be C. The conclusions should apply to people at that particular college.

Since the study was conducted using a random sample of 200 people from one college, the conclusions drawn from the study are most likely applicable to the population of people at that specific college. It would be incorrect to assume that the conclusions can be generalized to all people in the same country (Option A), all people within the same city as the college (Option B), people at any college (Option D), or that the conclusions apply only to the sample (Option E).

To know more about generalizing visit-

brainly.com/question/26855809

#SPJ11

Answer:

2w + 60

Step-by-step explanation:

60 miles more than twice the distance -

2w + 60 | Multiply the distance to wilmington by two, then add 60 miles.

Answer:

7.5 days

Step-by-step explanation:

Answer:

7.5 days this is question answer

Answer:

4 tiles are added to each figure in the tile pattern.

a =  2t+32=c

b= 2*10=20+32=52oz of coffee

I think this is right

Answer:A

Step-by-step explanation:

The advantage of using the range as a measure of variability is that it provides an account of the dataset's most extreme values.

The range is calculated by subtracting the minimum value from the maximum value in a dataset. By considering the minimum and maximum values, the range gives us an idea of the spread or dispersion of the data.

It provides information about the dataset's most extreme values, allowing us to understand the range over which the data values vary.

However, it's important to note that the range has limitations as a measure of variability. It only considers the minimum and maximum values and does not take into account the distribution or the values in between.

It does not provide a comprehensive summary of the patterns with which values cluster within the distribution, and it does not capture the shape of the distribution.

Therefore, while the range is a simple and straightforward measure of variability, it may not fully represent the overall characteristics of the dataset.

To know more about value click here

brainly.com/question/30760879

#SPJ11

Answer:

(5,2) D

Step-by-step explanation:

up 1 to the right 4

Answer:

5

Step-by-step explanation:

the absolute value of every single number known to mankind is the distance from zero and that number. So the absolute value will no matter what always be that number, positive.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the industry's output is Y = 3, and the profit of each firm  = -2.

a) Supply curve of an individual firm

The price received by the individual firm will be P. Its demand curve is given by

D(p) = 20 - p.

Each firm chooses output to maximize its profit. Profit maximization occurs when the price is equal to the marginal cost. Mathematically,

P = MC(y)

4y = P

y = P/4

Thus the supply curve of the firm is y = P/4

b) The smallest price at which the product can be sold. The product can be sold at the minimum of the supply curve, which is y = 0, given P ≥ 0. Therefore the smallest price is P = 0.

c) Equilibrium price and output

Equilibrium occurs when each firm is producing at its profit-maximizing output given the output of other firms. Let the number of firms in the industry be n. The output of the industry is Y = ny. The industry supply curve is given by

S(P) = nP/4

The equilibrium price intersects the industry supply curve with the demand curve. Thus the equilibrium price satisfies

S(P) = Y

nP/4 = 20 - P

=> P = 80/(4 + n).

The equilibrium number of firms is the number that makes the industry supply curve equal to the demand curve. Thus

20 - P = nP/4

=> P = 80/(4 + n)

=> n = (80 - 20P)/P

= 20/P - 4.

Thus the equilibrium number of firms is a function of P and can range between 1 and infinity, but it must be an integer. The equilibrium output of each firm is given by

y = P/4 = 20/(4n + n²)

The equilibrium output of the industry is given by

Y = n

y = 5/P = (n² + 4n)/80.

d) Equilibrium number of firms with new demand curve D(p) = 21 - p.

The intersection of this curve with the marginal cost curve is at p = 21/5. This is greater than the minimum possible price of 0. Thus there is a positive profit to be earned in this industry, and new firms can enter the market.

e) Equilibrium price and output with new demand curve with the new demand curve D(p) = 21 - p, the industry supply curve and the equilibrium price are as given in part (d). The equilibrium output of each firm is given by y = P/4 = 21/20, and the equilibrium output of the industry is given by Y = 21/4.

f) Equilibrium number of firms, price, output, and profit with demand curve D(p) = 24 - p. This demand curve intersects the marginal cost curve at p = 6. The minimum possible price is P = 0. Thus there is a range of prices from 0 to 6 where firms can profit positively.

The equilibrium number of firms will be the smallest integer such that the price is 6 or higher. This occurs when n = 2. At this equilibrium, the price is P = 6, the output of each firm is y = 3/2, the output of the industry is Y = 3, and the profit of each firm is (6)(3/2) - (2)(2(3/2)² + 8) = -2.

To know more about the demand curve, visit:

brainly.com/question/13131242

#SPJ11

The correct answer is h(t) = 14.25 + 0.25 * sin((π/26) * t)

To model the hours of daylight in a year using a sinusoidal equation, we can consider the average length of daylight, the amplitude of the variation, and the period of the function.

Given:

Summer solstice (longest day) is 14.5 hours

Winter solstice (longest night) is 14 hours

Let's analyze the information:

Average daylight: The average daylight throughout the year would be the average of the summer and winter solstices. It can be calculated as:

Average daylight = (14.5 + 14) / 2 = 14.25 hours

Amplitude: The difference between the average daylight and the longest day or night is the amplitude. In this case, the amplitude is half the difference between the summer and winter solstices. It can be calculated as:

Amplitude = (14.5 - 14) / 2 = 0.25 hours

Period: We are modeling the function over a year, which we'll consider as 52 weeks. Since we want to measure time in weeks (t), the period of the function is 52 weeks.

Putting all the information together, we can write the sinusoidal equation:

h(t) = Average daylight + Amplitude * sin((2π / Period) * t)

Substituting the values we calculated:

h(t) = 14.25 + 0.25 * sin((2π / 52) * t)

Simplifying further, the sinusoidal equation modeling the hours of daylight in a year is:

h(t) = 14.25 + 0.25 * sin(π/26 * t)

Learn more about  function here:

https://brainly.com/question/11624077

#SPJ11

Answer:

Step-by-step explanation:

Let the complement = x

Let the angle = 5*x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So the complement = 15

The angle itself is 5*15 = 75

Answer:

Solids can hold their shape because their molecules are tightly packed together. ... Atoms and molecules in liquids and gases are bouncing and floating around, free to move where they want. The molecules in a solid are stuck in a specific structure or arrangement of atoms.

I hope you find this helpful.

The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.

The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.

To know more about Average visit:

https://brainly.com/question/8501033

#SPJ11

The solutions to the quadratic equation 3u^2 + 6u - 9 = 0 are u = 1 and u = -3.

To solve the quadratic equation 3u^2 + 6u - 9 = 0 using the quadratic formula, we can substitute the coefficients into the formula and simplify.

The quadratic formula is given as: u = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 3, b = 6, and c = -9. Substituting these values into the formula, we get:

u = (-6 ± √(6^2 - 4 * 3 * -9)) / (2 * 3)

Simplifying further:

u = (-6 ± √(36 + 108)) / 6

u = (-6 ± √144) / 6

u = (-6 ± 12) / 6

Now, we have two possible solutions:

u = (-6 + 12) / 6 = 6 / 6 = 1

u = (-6 - 12) / 6 = -18 / 6 = -3

for more such questions on quadratic equation

https://brainly.com/question/28038123

#SPJ8

Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, \(ax^{2} +bx+c=0\) is solved by

\(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

Given function \(f(x)=x^4-10x^2+10000\)

Function that has monthly salary $20,000 will be \(x^4-10x^2+10000=20000\)

\(x^4-10x^2+10000-20000=0\)

\(x^4-10x^2-10000=0\)

Now using the formula \(x=\frac{-b \pm \sqrt{b^2-4ac} }{2}\)

\(x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}\)

\(x^2=\frac{10 \pm \sqrt{40100} }{2}\)

\(x^2=\frac{10 \pm 200.2}{2}\)

\(x^2=5 \pm 100.1\)

\(x^2=105.1\)

\(x=\sqrt{105.1}\)

\(x=10.25\)

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ2

The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of the ladder is 10 feet. And the inclination angle is 65°. Then the distance from the bottom of ladder to the wall is given as,

cos 65° = x / 10

x = 4.23 feet

If the ladder reaches a window 9.6 feet above the ground, then the angle is given as,

sin θ = 9.6 / 10

sin θ = sin 73.74°

     θ = 73.74°

The distance from the base of the ladder to the wall is 4.23 feet. And the inclination angle will be 73.74°.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ9

Answer:

5/6 se eu não me engano.

Step-by-step explanation:

ajudareroesp

one real eigenvalue. find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace.

What is eigenvalue?

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a nonzero vector that, when the linear transformation is applied to it, changes at most by a scalar factor. The factor by which the eigenvector is scaled is known as the associated eigenvalue, frequently denoted by lambda.

a) -4

b) 1

c) 1

Step-by-step explanation:

a) The matrix A is given by:

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

where lambda are the eigenvalues and I is the identity matrix. By replacing you obtain:

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

and by taking the determinant:\(\begin{aligned}& {[(-3-\lambda)(-4-\lambda)(1-\lambda)+(0)(2)(-3)+(2)(-2)(1)]-[(1)(-4-\lambda)(-3)+(0)(2)(1-} \\& \lambda)+(2)(-2)(-3-\lambda)]=0 \\& -\lambda^3-6 \lambda^2-12 \lambda-16=0\end{aligned}\)

and the roots of this polynomial is:

\(\begin{aligned}& \lambda_1=-4 \\& \lambda_2=-1+i \sqrt{3} \\& \lambda_3=-1-i \sqrt{3}\end{aligned}\)

hence, the real eigenvalue of the matrix A is -4.

b) The multiplicity of the eigenvalue is 1.

c) The dimension of the eigenspace is 1 (because the multiplicity determines the dimension of the eigenspace)

To learn more about eigenvalue visit

https://brainly.com/question/29579848

#SPJ4

Complete Quetion

The matrix A= (−3 0 1, 2 −4 2, −3 −2 1) has one real eigenvalue. Find this eigenvalue, its multiplicity, and the dimension of the corresponding eigenspace. The eigen value = has multiplicity = and the dimension of the corresponding eigenspace is:_______.

Answer:

3

Step-by-step explanation:

If each packet has 500 grams, and each person eats 100 grams, then one packet will feed five people (500/100=5). Since he will be buying pasta for 12 people, he will need to buy three packets, because 3*500=1500 grams. While there is some extra, buying only two packets would result in not enough pasta.

Answer:

I don't get the question

The smallest positive integer Joelle could have multiplied 756 by

15876

This is further explained below.

What is a perfect square?

Generally, A perfect square number is a number in mathematics that, when its square root is calculated, yields a natural number.

To solve this problem we can do:

By properties of roots

So, so that the multiplication of 756 by an integer becomes a perfect square, you have to multiply it by 21 to make $21^2$ and thus "eliminate" the root.

756 * 21=15876

In conclusion,  You can verify that 15876is a perfect square since root (15876)=132 and 132 is a natural number

Read more about perfect square

brainly.com/question/385286

#SPJ4

Answer:

x< -11/2

Step-by-step explanation:

Let's solve your inequality step-by-step.

2(4x+1)<3(2x−3)

Step 1: Simplify both sides of the inequality.

8x+2<6x−9

Step 2: Subtract 6x from both sides.

8x+2−6x<6x−9−6x

2x+2<−9

Step 3: Subtract 2 from both sides.

2x+2−2<−9−2

2x<−11

Step 4: Divide both sides by 2.

2x/2<−11/2

x< −11/2

X = 4×3 X + 7

Resultado

X = 12 X + 7

Forma alternativa

-11 X - 7 = 0

X = -7/11

The probability distribution for the difference between actual and predicted weekly sales of the company is a uniform distribution between $2800 and $2800. Actualsale of under predicted  is 4/7 and with in predicted sale is 13/14

(a) To find the probability that the actual sale is under predicted by at least $1200, we need to determine the area under the PDF to the left of $1200. Since the PDF is constant within the range, the probability is equal to the ratio of the difference between $1200 and $2800 to the total range of $2800. Therefore, the probability is (2800 - 1200) / 2800 = 1600 / 2800 = 4/7, or approximately 0.5714.
(b) To find the probability that the actual sale is within $1300 of the predicted sale, we need to determine the area under the PDF between $-1300 and $1300. Again, since the PDF is constant within the range, the probability is equal to the ratio of the difference between $1300 and $-1300 to the total range of $2800. Therefore, the probability is (1300 - (-1300)) / 2800 = 2600 / 2800 = 13/14, or approximately 0.9286.
In summary, the probability that the actual sale is under predicted by at least $1200 is 4/7, and the probability that the actual sale is within $1300 of the predicted sale is 13/14.

learn more about uniform distribution here

https://brainly.com/question/30639872



#SPJ11