A Produce store sold 63 red apples. If the ratio of red apples to green apples sold was 7:2,
is the combined amount of red and green apples sold?

The sample space, in terms of the condition (functional or defective) of each nozzle after a year, can be represented using the symbols "f" and "d" to denote a functional and defective nozzle, respectively.

The possible outcomes in the sample space can be described as a combination of these symbols. For example, if we have three nozzles, the sample space could include outcomes such as "fff" (all three nozzles are functional), "dfd" (the first and third nozzles are functional, while the second one is defective), "ffd" (the first two nozzles are functional, while the third one is defective), and so on.

Each outcome in the sample space corresponds to a particular arrangement or configuration of functional and defective nozzles after a year. The sample space encompasses all the possible combinations and provides a comprehensive representation of the different outcomes that can occur.

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The cost described in the scenario is an example of a mixed cost.

A mixed cost consists of both fixed and variable components. In this case, the $10 per month base charge represents the fixed component of the cost. This charge remains constant regardless of the amount of electricity consumed. It covers the basic service and is not influenced by usage levels.

On the other hand, the additional charge of $0.08 per kilowatt-hour (kWh) of electricity used represents the variable component. This charge varies directly with the amount of electricity consumed. As more electricity is used, the variable cost increases proportionally.

By combining the fixed base charge and the variable charge per kWh, we get a mixed cost structure. The fixed component ensures a minimum cost for the service, while the variable component adds to the total cost based on actual usage. This combination of fixed and variable elements makes the cost a mixed cost.

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Step-by-step explanation:

4x + 6y = 48

6y = 48 - 4x ^ Subtraction Property of Equality

y = -1.5x + 8 ^ Division Property of Equality

y-int = 8

x = -1.5

Answer:

Step-by-step explanation:

In the equation h=6d, the independent variable is d, which represents the number of days. The dependent variable is h, which represents the height of the plant that depends on the number of days it has been growing.

Answer:

(-10,3),(9,0)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

BC = 14.40 correct to 1dp

Step-by-step explanation:

Sin44°= AC/BC

BC=AC/sin44°

BC=10/0.695

BC=14.3884892086330

BC = 14.40 correct to 1dp

Answer:

hope this helps you out good luck

Answer:

Division

Step-by-step explanation:

Answer:

division

Step-by-step explanation:

when you divide you split into even groups

Answer:

B

Step-by-step explanation:

the scale factor of 2 means the sides of Δ DEF are twice those of Δ ABC.

However, corresponding angles remain congruent , then

largest angle in Δ DEF is also 82°

Jacob needs 290.92 ft² of carpet in total to cover both the living room and the dining room.

To find out how much carpet Jacob needs to cover his living room, we can multiply the length and width of the room:

15 ft x 12 1/3 ft = 15 ft x (37/3) ft = 555/3 ft²

To simplify this fraction, we can divide both the numerator and denominator by 3:

555/3 ft² = 185 ft²

So the living room requires 185 square feet of carpet.

To find out how much carpet Jacob needs to cover his dining room, we can multiply the length and width of that room:

10 1/4 ft x 10 1/3 ft = (41/4) ft x (31/3) ft = 1271/12 ft²

To simplify this fraction, we can divide both the numerator and denominator by 1:

1271/12 ft² = 105.92 ft² (rounded to two decimal places)

So the dining room requires 105.92 square feet of carpet.

To find out how much carpet Jacob needs in total, we can add the amount of carpet required for each room:

185 ft² + 105.92 ft² = 290.92 ft²

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Answer:

jdufzfdghfufuf I am girl Ibvggu u I am girl this is my first time doing this is my first time doing this is my first time doing this

Answer:

b I think.

Step-by-step explanation:

I chose the answer b because it goes up 65 feet per minute.

The height and radius of the cup are 4.41 cm and 2.07 cm respectively

To minimize the amount of paper used, we need to minimize the surface area of the cup. Let h be the height and r be the radius of the cone. Then we have:
\(Volume of cone = \frac{1}{3}  πr^{2} h = 36 cm^{3}\)

Solving for h, we get:
\(h = \frac{108}{(πr^2)}\)

Now we can express the surface area of the cone as:
\(Surface area = πr^2+ πr\sqrt{r^{2}+h^{2}  }\)

Substituting the expression for h, we get:

\(Surface area = πr^2+πr \sqrt{(r^{2} +(\frac{108}{(πr^2)^{2}) } )}\)

To minimize this function, we take its derivative with respect to r and set it equal to zero:
\(\frac{d}{dx} (Surface area) =  \frac{2πr - 108r }{[(r^2+(\frac{108}{πr^2}))^{0.5}  }] - \frac{108π}{r^2 }  = 0\)

Simplifying, we get:
\(2r^3 - \frac{108^2}{π} = 0\)

Solving for r, we get:
\(r = (\frac{54}{π})^{\frac{1}{3} }\)

Substituting this value into the expression for h, we get:
\(h = \frac{108}{\frac{54}{π} ^{(\frac{2}{3}π )} }\)

Thus, the height and radius of the cup that will use the smallest amount of paper are:
height = 4.41 cm
radius = 2.07 cm (rounded to two decimal places)

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The centroid of the given triangle is \(( 2\frac{2}{3} , -3\frac{1}{3} )\), which is option B.

What is a centroid of a triangle?

A place where a triangle's medians coincide is the centroid of the triangle. The line segments that are drawn from a vertex to the midpoint of the vertex's opposite side are known as medians.

A triangle is divided into two smaller triangles with equal areas by each of its medians. The centroid of a triangle is where the medians of the triangle cross. Unlike other points of concurrency in a triangle, the centroid always lies inside one.

The formula of the centroid of a triangle when the coordinates of the vertices are known is:

Centroid = \((\frac{x_1 +x_2+x_3}{3} , \frac{y_1 +y_2+y_3}{3})\)

From the graph, we can find the vertices of the triangle

A = (x₁, y₁) = (-3,-7)

B = (x₂,y₂) = (5,1)

C = (x₃,y₃) = (6,-4)

Centroid = \((\frac{x_1 +x_2+x_3}{3} , \frac{y_1 +y_2+y_3}{3}) = (\frac{-3+5+6}{3} ,\frac{-7+1-4}{3}) = (\frac{8}{3} ,\frac{-10}{3} ) = ( 2\frac{2}{3} , -3\frac{1}{3} )\)

Therefore the centroid of the given triangle is \(( 2\frac{2}{3} , -3\frac{1}{3} )\).

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Answer:

Down below

Step-by-step explanation:

inside of a triangle is 180 degrees. first we have to find what the inside of z and y are.

\(z=360-285\\z=75\\y=180-116\\y=64\\\)

then solve for x

\(180=75+64+x\\180=139+x\\180-139=139+x-139\\41=x\)

Answer:

\(512x^1^8\)

Step-by-step explanation:

\((8x^6)^3\\(8)^3 = 8 * 8 * 8\\(x^6)^3 = x^(^6^*^3)\\= 512x^1^8\)

Answer:

higher than

Step-by-step explanation:

To find the derivatives of the given expressions, we can apply the chain rule, which states that the derivative of a composition of functions is equal to the derivative of the outer function multiplied by the derivative of the inner function.

(a) To find the derivative of f(g(x)), we start by differentiating the outer function f with respect to the inner function g(x), and then multiply it by the derivative of the inner function g(x) with respect to x.

df/dx = df/dg * dg/dx

df/dx = cos(g(x)) * (2x)

(b) To find the derivative of g(f(x)), we differentiate the outer function g with respect to the inner function f(x), and then multiply it by the derivative of the inner function f(x) with respect to x.

dg/dx = dg/df * df/dx

dg/dx = 2f(x) * cos(x)

Hence, the derivatives are:

(a) d/dx(f(g(x))) = cos(g(x)) * (2x)

(b) d/dx(g(f(x))) = 2f(x) * cos(x)

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Answer:

πxd

Step-by-step explanation:

Answer:

this i think

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

w

Answer:

[See Below]

Step-by-step explanation:

✦ First you have to determine the rule:

  ✧ The rule is -2

    ○ 4 - 2 = 2

    ○ 2 - 2 = 0

    ○ 0 - 2 = -2

    ○ -2 - 2 = -4

    ○ And the rule would go on and on...

✦ And now that you know the rule, you have to determine the next terms:

  ✧ -6

  ✧ -8

  ✧ -10

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

5

Step-by-step explanation:

For any angle θ in the first quadrant, the values of sin θ and cos θ are related by the Pythagorean identity: sin^2 θ + cos^2 θ = 1.

If the terminal side of angle θ intersects the unit circle in the first quadrant at point (x, y), where y represents the y-coordinate, then the values of sin θ and cos θ can be determined as follows:

Since the point (x, y) lies on the unit circle, the distance from the origin to the point is 1. Using the Pythagorean theorem, we have:

x^2 + y^2 = 1

The point lies in the first quadrant, both x and y are positive. Therefore, we can write:

x = cos θ

y = sin θ

Substituting these values into the equation x^2 + y^2 = 1, we get:

cos^2 θ + sin^2 θ = 1

This equation is known as the Pythagorean identity. Therefore, for any angle θ in the first quadrant, the values of sin θ and cos θ are related by this identity.

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To find the number of countries that have both a population density of fewer than 100 per km^2 and a medium population in North America, we need to use the given frequency of 0.174.

1. Start by multiplying the frequency (0.174) by the total number of countries in North America.
2. Let's assume the total number of countries in North America is "x".
3. Multiply x by 0.174 to find the number of countries with both a population density of fewer than 100 per km^2 and a medium population.
4. The result will give you the number of countries that satisfy the given conditions.

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Mutually exclusive events are two events that cannot occur at the same time. The conditional probability of B given A is also equal to zero, since P(B|A)=P(A and B)/P(A)=0.

This means that their intersection is empty, or P(A and B)=0.This also means that their union is the sum of individual probabilities, P(A)+P(B). This is because the intersection of two mutually exclusive events is equal to the product of their probabilities, or P(A and B)=P(A)P(B). Therefore, the probability of either event occurring is the sum of the probability of each event since the intersection of both events is zero. As a result, the conditional probability of B given A is also equal to zero, since P(B|A)=P(A and B)/P(A)=0.

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Answer:

\(7.446\)

Step-by-step explanation:

\(22.34\) ÷ \(3\)

To solve, let's make 22.34 into a fraction and divide.

\(\frac{22.34}{3}\)

And that equals

\(7.446667\)

Exact form:

\(7.446\)

Now you got your answer!

Hope this helps!

The triangle ABC does not exist and cannot be solved.

To solve triangle ABC where angle B = 72.2 degrees, side b = 78.3 inches, and side c = 145 inches, we will use the Law of Sines to determine if the triangle exists and find the remaining angles and side length.

The Law of Sines states that (a/sinA) = (b/sinB) = (c/sinC), where a, b, and c are side lengths, and A, B, and C are the angles opposite to those sides, respectively.

First we determine if the triangle exists.

We already know angle B and sides b and c. Apply the Law of Sines to see if angle C exists.

sinC = (c * sinB) / b = (145 * sin(72.2°)) / 78.3 ≈ 1.772

Since sinC > 1, which is not possible (the maximum value of sinC is 1), this triangle does not exist.

Therefore, we cannot solve triangle ABC with the given angle B, side b, and side c.

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