ANSWER AS SOON AS POSSIBLE!!

Joan goes to the store and spends $56.50 on 5 small coolers. What is the unit rate that Joan paid for the coolers?

Please explain your answer!

Usando proporciones, hay que con 200 pesos mx se pueden comprar 0.0645 yenes.

Una proporción es una fracción de la cantidad total, y puede ser encontrada por intermedio de una regla de tres.

En este problema, hay que un yene cuesta $0.17, enquanto $1 = 3100 pesos. Por eso, cada yene es equivalente a 3100 pesos.

Por eso, la regla de tres es:

1 yene - 3100 pesos

x yenes - 200 pesos

Aplicando multiplicación cruzada:

\(3100x = 200\)

\(x = \frac{200}{3100}\)

\(x = 0.0645\)

Con 200 pesos mx se pueden comprar 0.0645 yenes.

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The limit will converge to 0 if the largest absolute value is less than 1. The limit will diverge if the largest eigenvalue is greater than 1.

We need to know the properties of the matrix A and the given eigenvectors in order to calculate the limit of An v as n approaches infinity.

The framework A will be a 3x3 lattice, and we are given three eigenvectors with their relating eigenvalues. The eigenvectors v1, v2, and v3 will be referred to, and their corresponding eigenvalues will be 1, 2, and 3.

Given:

We express the vector v as a linear combination of the eigenvectors: v1 = [-1, 2, 1] with eigenvalue 1 = 0, v2 = [0, 0, 1] with eigenvalue 2 = 1, and v3 = [1, 0, 0] with eigenvalue 3 = 0.2.

v = c1 * v1 + c2 * v2 + c3 * v3

Subbing the given qualities, we have:

v = c1 * [-1, 2, 1] + c2 * [0, 0, 1] + c3 * [1, 0, 0] We can solve the equation system resulting from the previous expression to determine the coefficients c1, c2, and c3.

We are able to calculate An v as n approaches infinity once we have the coefficients. The eigenvalues of A determine this limit. The limit will converge to 0 if the largest absolute value is less than 1. The limit will diverge if the largest eigenvalue is greater than 1.

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Answer:

D

Step-by-step explanation:

-2x² - 22x  + 24 =  0

Divide the equation by (-2)

x² + 11x  - 12 = 0

Sum = 11

Product = -12

Factor = -1 , 12

x² + 12x  - x - 12 = 0

x (x + 12) - (x + 12)= 0

(x + 12) (x - 1) = 0

Factors are: (x - 1) and (x + 12)

Answer: x-1

Step-by-step explanation:

a p e x

Answer:

b = -14

Step-by-step explanation:

Step  1  : B/14 Simplify

Step  2  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  3  :

Rewriting the whole as an Equivalent Fraction

Adding fractions that have a common denominator

Step  4  :

Pulling out like terms

Step  5  :

When a fraction equals zero

Answer:    b = -14

Hope this helps.

Answer:

b= -50

Step-by-step explanation:

-10= b/14-9

Switch sides

b/14-9 = -10

Multiply both sides by 5

5b/14-9= 5(-10)

Simplify

b= -50

HOPE THIS HELPS :)

Answer:

-75

Step-by-step explanation:

-3(-5x + 10)

Let x=-3

-3(-5*-3 + 10)

Multiply inside the parentheses

-3(15 + 10)

Add inside the parentheses

-3 (25)

-75

Answer:

-75

Step-by-step explanation:

Lets do this the easy way!

We do:

P= Perenthasis

E = Exponents

M = multiplication

D = Division

A = Addition

S = Subrtaction

So we do whatevers in the parenthasis first

(-5x + 10)

Now since we know x=-3 since its being multiplied by -5 we multiply!

-5*-3 then add 10

-5*-3+10=25

Then since -3 is touching the paranthasis it means to multiply!

take the answer of the apranthasis problem

25 and times it by -3

Which equals -75

Hope this helps you!

The second vector that's perpendicular to the line we want (call it L) is missing; I'll denote it by ⟨a, b, c⟩.

The cross product of ⟨1, 1, 0⟩ and ⟨a, b, c⟩ is perpendicular to both of these vectors. The direction vector of L will be parallel to this cross product.

Compute the cross product.

⟨1, 1, 0⟩ × ⟨a, b, c⟩ = ⟨1•c - 0•b, 0•a - 1•c, 1•b - 1•a⟩ = ⟨c, -c, b - a⟩

Then the vector equation of L is

L(t) = ⟨c, -c, b - a⟩ t + ⟨-3, 3, -1⟩

As parametric equations, we write

x(t) = ct - 3

y(t) = -ct + 3

z(t) = (b - a) t - 1

Eliminating the parameter above, we get

x + y = (ct - 3) + (-ct + 3) = 0   ⇒   x = -y

and substituting

x = ct - 3   ⇒   t = (x + 3)/c

into z(t), we get

z = (b - a) (x + 3)/c - 1   ⇒   x = c (z + 1)/(b - a) - 3

As symmetric equations, then, we write

x = -y = c (z + 1)/(b - a) - 3

17

4 1/4's is a whole. 4x4+1

we know that

If two triangles are similar, then their corresponding angles are congruent

In this problem

we have that

First case

angle x and angle 60 are corresponding angles

angle (x+10) and angle (2x-50) are corresponding angles

so

x=60

x+10=2x-50

2x-x=10+50

x=60

is ok

Second case

angle (x+10) and angle 60 are corresponding angles

angle x and angle (2x-50) are corresponding angles

so

x+10=60

x=50

x=2x-50

2x-x=50

x=50

therefore

The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

Answer:

radius is 6

diameter is 12

Step-by-step explanation:

to find radius you divide the diameter by 2

Answer:

f^-1(x)=x/3+2/3

Step-by-step explanation:

The inverse of the equation y = 3x - 2 is given by y = (x + 2) / 3.

To find the inverse of the equation y = 3x - 2,  interchange the x and y variables and solve for y. Here are the steps:

Start with the original equation: y = 3x - 2.

Interchange x and y: x = 3y - 2.

Solve for y:

Add 2 to both sides of the equation:

x + 2 = 3y.

Divide both sides by 3:

(x + 2) / 3 = y.

Simplify the expression:

y = (x + 2) / 3.

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Answer:

\(\textsf{D)} \quad (4 - (-6))^2+(3 - (-2))^2=\left(\sqrt{(4-(-6))^2+(-2-3)^2}\right)^2\)

Step-by-step explanation:

To find the length of p, subtract the x-coordinate of vertex Q from the x-coordinate of vertex R:

\(\implies p=x_R-x_Q\)

\(\implies p = 4 - (-6)\)

To find the length of q, subtract the y-coordinate of vertex P from the y-coordinate of vertex R:

\(\implies q = y_R-y_P\)

\(\implies q =3 - (-2)\)

To find the length of r, use the distance formula, where (x₁, y₁) = Q and (x₂, y₂) = P.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}\)

\(\implies r=\sqrt{(x_P-x_Q)^2+(y_P-y_Q)^2}\)

\(\implies r=\sqrt{(4-(-6))^2+(-2-3)^2}\)

Therefore, the equation that could be used to show p² + q² = r² is:

\((4 - (-6))^2+(3 - (-2))^2=\left(\sqrt{(4-(-6))^2+(-2-3)^2}\right)^2\)

Answer:

jjj

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.

What is function ?

A function is a mathematical rule or relationship between two sets of objects, often called the input and output, that assigns each input value exactly one output value. In other words, a function is a set of ordered pairs, where each input has only one output value.

For example, the function f(x) = 2x assigns to each value of x its double. If we put in x=1, the output is f(1) = 2(1) = 2. If we put in x=2, the output is f(2) = 2(2) = 4. Each input value has exactly one corresponding output value, which is the definition of a function.

Functions are often represented as graphs, with the input values on the x-axis and the output values on the y-axis. The graph of a function is a visual representation of the set of ordered pairs that define the function.

To express h(x) = 3x = x² as f - g, we need to find two functions f(x) and g(x) such that f(x) - g(x) = h(x).

One possible way to do this is to let f(x) = x² + 3x and g(x) = x². Then we have:

f(x) - g(x) = (x² + 3x) - x² = 3x = x² = h(x)

Therefore, h(x) can be expressed as f(x) - g(x) where f(x) = x² + 3x and g(x) = x².

Another possible way to do this is to let f(x) = 3x and g(x) = x² - 3x. Then we have:

f(x) - g(x) = 3x - (x² - 3x) = 6x - x² = h(x)

Therefore, h(x) can also be expressed as f(x) - g(x) where f(x) = 3x and g(x) = x² - 3x.

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Answer:

option B ................

is the correct answer

The fraction 9/80 cannot be simplified further, so that is the final answer.

Claudia has a total of 16/3 gallons of paint, and 3/5 gallons of that amount is red. To determine the fraction of Claudia's paint that is red, we need to express the amount of red paint as a fraction of the total amount of paint.

Let's denote the fraction of red paint as r and the total amount of paint as p.

We know that the amount of red paint is 3/5 gallons, which can be expressed as r = 3/5.

The total amount of paint is 16/3 gallons, which can be expressed as p = 16/3.

To find the fraction of Claudia's paint that is red, we divide the amount of red paint by the total amount of paint:

Fraction of red paint = r/p = (3/5) / (16/3).

To divide fractions, we multiply the numerator of the first fraction by the denominator of the second fraction and the denominator of the first fraction by the numerator of the second fraction:

Fraction of red paint = (3/5) * (3/16) = 9/80.

Therefore, the fraction of Claudia's paint that is red is 9/80.

It's important to note that fractions should be simplified if possible. In this case, the fraction 9/80 cannot be simplified further, so that is the final answer.

In conclusion, the fraction of Claudia's paint that is red is 9/80.

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The rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted is 7 ft/yr.

Given that,

In the picture we have a table with the linear relationship between the average height in feet of tree on a form and the number of years since tree where planned.

We have to find what is the rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted.

We know that,

1,3,6,11,15 years have passed since the trees were planted.

10, 24, 45, 80, 10 is the average height in feet.

The number of years since the trees were planted as a whole is now 1+3+6+11+15 = 36.

Total Average Height (ft.) = 10 + 24 + 45 + 80 + 108=267

Therefore, the rate of change in average height is equal to the sum of average height and the number of years.

The average height change rate is 267 divided by 36.

The average height is changing at a rate of 7.4 feet every year.

Average height change of less than 7 feet each year.

In relation to the number of years since the trees were planted, the average annual growth rate of the farm's trees, measured in feet, is 7 ft/yr.

Therefore, The rate of change in the farm's average tree height in feet in relation to the number of years the trees have been planted is 7 ft/yr.

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Step-by-step explanation:

Yz / RT = SZ / ST

2X +2 / 3X -7 = 35 / 40= 7 / 8

8( 2x+2) = 7( 3x-7 )

16 x +16 = 21x 49

5x = 65

x =13

YZ = 2×13 +2 = 28

Answer:

x=68/9; y=38/3.

Step-by-step explanation:

1) according to the condition m(ABC)=m(DEF), then 6y-4=80, ⇒ y=38/3;

2) according to the condition AB=DE, then 10=3x-y. If y=38/3, then 10=3x-38/3; ⇒ x=68/9.

The unit of measure that represents a metric unit dosage of strength is the gram (a).

In the metric system, the gram is the standard unit for measuring mass or weight. It is commonly used in the healthcare field to quantify the amount or dosage of medication or drug strength.

Medications are often prescribed and administered in specific gram amounts, indicating the quantity of the active ingredient in the medication. For example, a doctor may prescribe a medication dosage of 500 milligrams (mg), which is equivalent to 0.5 grams.

On the other hand, grains (b), ounces (c), and tablespoons (d) are not typically used as metric units of measure for medication dosage strength. Grains are more commonly used in the imperial system, especially in the United States, to measure the weight of medications. Ounces and tablespoons are used to measure volume or liquid medications rather than dosage strength.

In the context of metric unit dosage strength, the gram is the most appropriate and commonly used unit of measure.

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The Formula for the height is \(h=\frac{T-2wl}{2(w+l)}\)

It is given that the Area of the the four walls is\(A=2wh+2lh\)

Now, as Marlo wanted to paint the ceiling and floor.

Then the area of the ceiling and floor is

\(A=2lw\)

Therefore, the Total Area of the is

\(T=2wh+2lh+2wl\\\)

Taking 2h common, we get

\(T=2h(w+l)+2wl\\\)

Solving for height h , we get the formula for the height as

\(h=\frac{T-2wl}{2(w+l)}\)

Therefore the formula for the height is \(h=\frac{T-2wl}{2(w+l)}\)

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The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed.

A characteristic of information that is gathered for analysis and reference is referred to as data. Numerous analytical tools can be used to measure data and facilitate conclusion-making. The data gathered is used for corporate management and scientific research, allowing management to make more informed decisions.

The right answer is a. The mean is bigger than the median and the mode when the data is positively skewed. The tail of the data set is said to point to the right when the data is positively skewed. The mean and median, on the other hand, are always lower than the mode in a distribution that is negatively skewed. Skewness, in general, is a distortion that differs from typical data collection.

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Answer:

she spent 5,536 more dollars π

Step-by-step explanation:

10,535 - 4,999= 5,536

thats how much more money it cost than the stove.

Answer:Determine" (and any subsequent words) was ignored because we limit queries to 32 words.

The answer is a=35,000 and equation is a=t-g/-0.0035

Step-by-step explanation:

The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have given:

\(\rm a_n=3+a_n_-_1\) and

\(\rm a_1=5\)

\(\rm a_n-a_n_-_1= 3\)

The above expression represents the common ratio:

d = 3

First term:

a = 5

The explicit rule for the arithmetic sequence:

a(n) = 5 + (n - 1)3

a(n) = 3n + 2

Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.

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If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.

1. Total gasoline consumed (gallons):

To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:

Total gasoline consumed = Distance / Fuel efficiency

Total gasoline consumed = 150 miles / 28 miles per gallon

Total gasoline consumed ≈ 5.36 gallons

2. Option 1 cost:

In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.

Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01

3. Option 2 cost:

In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.

Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20

4. Option 3 cost:

In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.

Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.

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Answer:

Step-by-step explanation:

Write in slope-intercept form,

y=mx + b. − mowing, week, 20, 450

For each value of t, we can substitute it back into the parametric equations x = 4t^3 and y = 4t - 8t^2 to obtain the corresponding points on the curve where the tangent line has a slope of 1.

To find the points on the curve defined by x = 4t^3 and y = 4t - 8t^2 where the tangent line has a slope of 1, we need to find the values of t that satisfy this condition.

The slope of the tangent line at a point on the curve is given by the derivative of y with respect to x, dy/dx. In this case, we have the parametric equations x = 4t^3 and y = 4t - 8t^2.

Differentiating y with respect to x, we can find dy/dx:

dy/dx = (dy/dt) / (dx/dt)

      = (4 - 16t) / (12t^2)

To find the points where the tangent line has a slope of 1, we set dy/dx = 1 and solve for t:

(4 - 16t) / (12t^2) = 1

Multiplying both sides by 12t^2, we get:

4 - 16t = 12t^2

12t^2 + 16t - 4 = 0

Simplifying the equation, we have:

3t^2 + 4t - 1 = 0

Now we can solve this quadratic equation for t. By factoring or using the quadratic formula, we find two values for t.

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Step-by-step explanation:

do you mean --8 plus 31

The equation in slope-intercept form of line k is y = - x + 5.

What is the equation of the line?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

The equation of a line in slope- intercept form is

y = mx + c

where,

   m is the slope and c the y- intercept.

We have,

y = x - 3

∴  It is in the slope intercept form.

with slope m = 1

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular} = -\frac{1}{m} = -\frac{1}{1} = -1\) ,

The partial equation of line j is,

y = - x + c

By substituting (2, 0) into the partial equation we get, c

0 = - 2 + c

c = 0 + 2 = 2

∴ c = 2

The equation of line j is y = - x + 2.

Similarly,

The slopes of parallel lines are the same.

The partial equation of line k is,

∴ y = - x + c

By substituting (- 1, 6) into the partial equation we get, c

6 = 1 + c

c = 6 - 1 = 5

∴ c = 5

The equation of line k is y = - x + 5.

Therefore, the equation in slope-intercept form of line k is y = - x + 5.

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