Doña Mago compró 3 kg de chile verde y 11 dólares de tomate en una tienda, en otra tienda compro 2 kg de chile verde y $ 24 dólares de cebolla.Si en cada tienda pago la misma cantidad de dinero y el precio de cada kg de chile verde fue el mismo en ambas tiendas cuanto costó el kg de chile ?

Answer:

B) AAS

Step-by-step explanation:

B) AAS

Answer:40

Step-by-step explanation:

21+8=29

29+11=40

0.3 feet/ hour is the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18

Average rate of change for depth of the river = \(\frac{21 feet - 18 feet}{18 hours- 9 hours}\)

= \(\frac{21- 18}{18-9} feet/ hour\)
= \(\frac{3}{9}\)

=\(\frac{1}{3}\)

= 0.3 feet/ hour

an normal is a single number taken as representative of a list of figures, generally the sum of the figures divided by how numerous figures are in the list( the computation mean). For illustration, the normal of the figures 2, 3, 4, 7, and 9( summing to 25) is 5. Depending on the environment, an average might be another statistic similar as the standard, or mode.

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Complete Question

The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours. Consider this graph of the function. Write the average rate of change for the depth of the river, measured as feet per hour, between hour 9 and hour 18. Round your answer to the nearest tenth.

Answer:

Step-by-step explanation:

You want the dimensions and volume of a cuboid that can be made from an 18 in square of cardboard when an x-inch square is cut from two adjacent corners, and an x-inch by 9-inch rectangle is cut from the other two corners.

The longest side of the cuboid will have length (18 -2x). The second longest side will have length (18 -9 -x) = (9 -x). The shortest side will have length x.

The volume of the cuboid is the product of these side lengths:

  V = (18 -2x)(9 -x)(x) = 2x(9 -x)²

The value of x that maximizes volume will be the value that makes the derivative with respect to x be zero.

  V' = 2(9 -x)² -4x(9 -x) = (9 -x)(2(9 -x) -4x) = 2(9 -x)(9 -3x)

  V' = 6(9 -x)(3 -x)

The derivative will be zero when its factors are zero, at x=9 and x=3. The value x=9 gives zero volume.

The value x=3 gives a volume of ...

  V = 2·3(9 -3)² = 6³ = 216 . . . . . cubic inches

The dimensions are ...

The dimensions for maximum volume are 3 inches by 6 inches by 12 inches. The maximum volume is 216 cubic inches.

Answer:

144

Step-by-step explanation:

The best way to attempt this question is to solve it using a Venn diagram

From the given information, Let;

D = documentaries

I = interview shows

G = game show reruns

From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.

i.e

= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)

= 300 - 234

= 66

∴

No of those interested in exactly one kind of show = 66 + 60 + 18

= 144

∴\(\text{144 are interested in exactly one kind of show.}\)

Answer:

2.16

Step-by-step explanation:

Hope it helps and have a great day ahead of you! =D

~ sunshine ~

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Answer:

f(x) = - 2x + 4

Step-by-step explanation:

Since we are only trying to move the graph up 3 units, the slope does not change. So, it would be -2.

We also know that the 1 in f(x)= -2x + 1 is the y-intercept (y=mx+b). But again, we are moving the graph 3 units up, so we have to add 3. That makes it 4 (3+1=4).

So, the new equation would be f(x) = -2x + 4

Step-by-step explanation:

it simply means that g(x) is f(x) just shifted 3 units upwards.

that means nothing else changes, only whatever y result f(x) produces is increased by 3.

so,

g(x) = f(x) + 3 = -2x + 1 + 3 = -2x + 4

therefore, as domain and range were the whole set of real numbers, the addition of 3 does not make any difference in relation to infinity. so, they remain unchanged.

the slope stays the same (g(x) is simply a parallel line to f(x)).

the y-intercept (the y-value when x = 0) also increases by 3, and is 4.

the x-intercept (the x-value when y = 0) changes :

0 = -2x + 4

2x = 4

x = 2

the x-intercept is 2.

In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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A 64-foot bridge into the water below. It’s height, in feet, is represented by

(a) The factor of the polynomials expression

(b) Using the factorization from part A to identify the zeros of the function

(c) Zeros of a polynomial can be defined as the points where the polynomial becomes zero as a whole. A polynomial having a value zero (0) is called zero polynomial.

Hence

(d) Yes both zeros has a real-world meaning

(e) It took the airplane 4 seconds to hit the water since x = 4 (only positive value)

Answer:

Between 2.25 and 2.5

Step-by-step explanation:

The square root of 6 is 2.4494.... which is closer to 2.5

Answer:

m is the slope of the line

Step-by-step explanation:

Equation of a line

The equation of a line can be written in the form:

y = mx+b

Where m is the slope of the line and b is the y-intercept. Both parameters define the behavior of the line in terms of it's increasing/decreasing trend, and where it crosses the y-axis.

As an example, let's consider the line

y =3x-8

Here, the slope is 3 and the y-intercept. It means the line is increasing from left to right and the point where it crossed the y-axis is (0,-8).

m is the slope of the line

a) The parametric equations of the line are: x(t) = −2 + 3t, y(t) = 4 − 2t, z(t) = 3 + 4t and The symmetric equation of the line are: (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) The line intersects yz-plane at (0, 8/3, 17/3)

The given points on the line are:

(x₁, y₁, z₁) = (−2, 4, 3)

(x₂, y₂, z₂) = (1, 2, 7)

The direction ratios of this line are:

⟨a, b, c⟩ = ⟨x₂ − x₁, y₂ − y₁, z₂ − z₁⟩

             = ⟨1 + 2, 2 − 4, 7 − 3⟩

             = ⟨3, −2, 4⟩

a) Parametric equations of the line:

These are given by:

x(t) = x₁ + at = −2 + 3t

y(t) = y₁ + bt = 4 − 2t

z(t) = z₁ + ct = 3 + 4t

Symmetric equation of the line:

This is given by:

              (x − x₁)/a = (y − y₁)/b = (z − z₁)/c

              (x + 2)/3 = (y − 4)/−2 = (z − 3)/4

b) When a line intersects the yz-plane, its x-coordinate is zero.

Using the parametric equations of the part (a):

                                   x = 0

                          −2 + 3t = 0

                                  3t = 2

                                    t = 2/3

Substitute this in the parametric equations corresponding to y and z as well:

                                   y = 4 −2t

                                      = 4 − 2(2/3)

                                      = 8/3

                                   z = 3 + 4t

                                      = 3 + 4(2/3)

                                      = 17/3

Hence, the required point is: (x, y, z) = (0, 8/3, 17/3)

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Answer:

The answer is number 2

Answer:

7

Step-by-step explanation:

-4 - -11 = 7

remember negative + or - equals a positive same way with a positive + or - positive will give you a  positive.

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Answer:

\(y = {x}^{2} + 2x + 6 \\ y = {( - 1 + i)}^{2} \)

Answe

y=(x+1)2+5

Step-by-step explanation:

Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

From the question, we are to calculate the area of the cellphone shown in the diagram

From the given information,

We have a diagram that shows a cellphone which is rectangular in shape.

Thus,

We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.

Area of a rectangle = Length * Width

From the given information,

Length of the cellphone = 6x²y⁶

Width of the cellphone = 3x⁻³y²

Thus,

Area of the cellphone = 6x²y⁶ × 3x⁻³y²

Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²

Area of the cellphone = 18 × x⁻¹ × y⁸

Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x

Hence,

The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x

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Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

The original price of iPhones if the prices are reduced by 35% is $2,041

Let

Sale price = Original price - (Percentage discount × Original price

714.35 = x - (35% of x)

714.35 = x - 0.35x

714.35 = 0.65x

divide both sides by 0.65

x = 714.35 / 0.65

x = $2,041

In conclusion, the original price of iPhones after the discount is $2,041

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Answer:

18

Step-by-step explanation:

divide 22.50 by 1.25 to get the number of rides.

Answer:

-5/12

Step-by-step explanation:

you need to simplify both sides of the equasion, then isolate the variable

The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.

The formula to calculate sale price of the item according to discount and original price will be -

Sale price = 25% × original price

Keep the value of original price in the formula to find the sale price

Sale price = 25% × 35

Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item

Sale price = 8.75

Hence, the item on sale costs $8.75.

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