A number added to twice another number is-8. The sum of the two numbers is-2. What is the lesser of these two numbers?

Answer:

8x²-30x+18

Step-by-step explanation:

8x²-24x-6x+18

8x²-30x+18

Answer:

[tex]8x^{2} -30x+18[/tex]

Step-by-step explanation:

[tex]8x^{2} -24x-6x+18[/tex]

[tex]8x^{2} -30x+18[/tex]

The completed text are:

Point of Tangency: A point of contact between a circle and its tangent line.

Secant segment: A segment that intersects a circle twice and has one endpoint on the circle and one endpoint outside of the circle.

Tangent Segment: A segment of a tangent line that has an endpoint at the point of tangency.

The concepts of chord, point of tangency, secant segment, and tangent segment are relevant in geometry, particularly in the study of circles.

They provide the foundation for understanding the relationships and properties of circles and their associated segments.

These concepts are essential in various fields such as engineering, physics, and architecture, where circular shapes are commonly used. They are also relevant in solving real-world problems that involve circles, such as determining the area and circumference of a circle.

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Each portion of pasta is 2/3 pounds.

Prοpοrtiοn or portion, in general, is referred tο as a part, share, οr number cοnsidered in cοmparative relatiοn tο a whοle. Prοpοrtiοn definitiοn says that when twο ratiοs are equivalent, they are in prοpοrtiοn. It is an equatiοn οr statement used tο depict that twο ratiοs οr fractiοns are equal.

To divide 2 2/3 pounds of pasta into fourths, we can first convert the mixed number to an improper fraction:

2 2/3 = (2 x 3 + 2)/3 = 8/3

Then, we can divide 8/3 by 4 to find the amount of pasta in each portion:

8/3 ÷ 4 = (8/3) x (1/4) = 2/3

Therefore, each portion of pasta is 2/3 pounds.

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Therefore , the solution of the given problem of angles comes out to be  M∠R measured at 45.4 degrees, to the closest tenth.

The intersection of the lines that form a skew's ends determines the size of its biggest and smallest walls. There's a possibility that two paths will intersect at a junction. Angle is another outcome of two things interacting. They mirror dihedral forms the most. A two-dimensional curve can be created by placing two line beams in various configurations between their ends.

Here,

To determine the size of angle R in triangular PQR, we can apply the Law of Cosines:

=> cos(R) = (PQ₂ + PR₂ - QR₂) / (2 * PQ * PR)

=>  cos(R) = (5.4₂ + 6.2₂ - 3.6₂) / (2 * 5.4 * 6.2)

=>  cos(R) = 0.6960917

When we calculate the inverse cosine of both sides, we obtain:

=>  R = cos⁻¹(0.6960917)

=>  R equals 45.4 degrees

Angle R in triangle PQR is therefore measured at 45.4 degrees, to the closest tenth.

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the probability that they are both Democrats. round to the nearest thousandth if necessary is 0.194

The probability that BOTH is democrats means the probability of "one being democrat" AND "another also being democrat".

The AND means we need to MULTIPLY the individual probability of a person being a democrat.

The probability that a voter is democrat is 44% (0.44) -- stated in the problem

Now, the Probability of BOTH being Democrats is simply MULTIPLYING 0.44 with 0.44

Rounded to the nearest thousandth, 0.194

The last answer choice is correct.

the complete question is-

In one town 44% of all voters are Democrats if two voters are randomly selected for a survey find the probability that they are both Democrats. round to the nearest thousandth if necessary.

0.189

0.880

0.440

0.194

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Using geometric progression Rabbits after 5 years will be 5120. Rabbits after 10 years will be 52,428,800.

When each term is varied by another by a common ratio, the series is referred to as a geometric progression or sequence. When we multiply the previous term by a constant (which is non-zero), we get the following term in the series. It should be mentioned that the common ratio is obtained by dividing any succeeding term by its preceding term.

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate organizations or groups.

In this question,

The number of rabbits initially=50=a

rabbits after 6 months=100

common ratio=r= 100/50=2

Since it is a geometric progression, the 11th term will give us the number of rabbits after 5 years.

a₁₁=a₁(r)¹¹⁻¹

   =50(2)¹⁰=5120

the 21th term will give us the number of rabbits after 10 years.

a₂₁=a₁(r)²¹⁻¹

    =50(2)²⁰=52,428,800

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Step-by-step explanation:

(a) If the order of the choices is relevant, we can choose the first object in 5 ways, and the second object in 4 ways (since we cannot choose the same object again). Therefore, the total number of ways to choose 2 objects without replacement and with order being relevant is:

5 x 4 = 20 ways

(b) If the order of the choices is not relevant, we need to use the combination formula, which is:

nCk = n! / (k! * (n-k)!)

where n is the total number of objects, and k is the number of objects we want to choose.

In this case, we want to choose 2 objects out of 5, so n = 5 and k = 2. Therefore, the number of ways to choose 2 objects without replacement and with order not being relevant is:

5C2 = 5! / (2! * (5-2)!) = 10 ways

Therefore, there are 20 ways to choose 2 objects without replacement and with order being relevant, and 10 ways to choose 2 objects without replacement and with order not being relevant.

Answer:

3, -3

sincerely, answered by luhvlii ♡ :: as an A+ student, I want to make sure other students can succeed as well, so in my free time: i answer questions like yours on Brainly! if you could click the thanks heart, give me brainliest by clicking the crown, and rate my answer 5 stars, it would be appreciated! have a luhvlii day (ᵔᴥᵔ)

If the graph of a polynomial function P(x) has x-intercepts at x = -4, x = 0, x = 5, the following must be true for P(x): D. The degree of the polynomial is greater than or equal to three.

Based on the graph of the polynomial f(x), the following is not a factor: B. (x - 1).

In Mathematics and Geometry, a polynomial graph simply refers to a type of graph that touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

Generally speaking, the zero of a polynomial function simply refers to a point where it crosses or cuts the x-axis of a graph. Since the polynomial function with x-intercepts at x = -4, x = 0, and x = 5 cuts the x-axis at three (3) points. Therefore, the degree of this polynomial is either greater than or equal to three (3).

By critically observing the graph of the polynomial function shown above, we can logically deduce that its x-intercepts include the following;

x = -1 ⇒ x + 1 = 0.

x = -2 ⇒ x + 2 = 0.

x = 2 ⇒ x - 2 = 0.

x = 3 ⇒ x - 3 = 0.

Therefore, (x - 1) is not a factor.

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The product of the expressions are;

Step 1: (x + 2)(x + 3) and 3(x + 3)/4(x + 5)

Step 3: 4(x + 3) × 3(x + 3)/4(x + 5)

Step 4: 3/x + 5

It is important to note that algebraic expressions are described as expressions that are composed of variables, terms, coefficients, constants and factors.

From the information given, we have the fraction;

4x + 8/x² + 5x + 6 × 3x + 9/4x + 20

To determine the product, let us reduce the expressions to their lowest forms, we have;

4x + 8 = 4(x + 2)

x² + 5x + 6 = (x + 2)(x + 3)

3x + 9 = 3(x +3)

4x + 20 = 4(x + 5)

Substitute the expressions

4(x + 2)/(x + 2)(x + 3)  × 3(x +3)/4(x + 5)

divide the common terms

4(x + 3) × 3(x + 3)/4(x + 5)

Divide further, we have.

3/x + 5

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Answer: a) The profit function can be written as:

P(x) = 5x - 400x + 600

To find the asymptotes, we can look at the denominator of the second term, which is (x - 3). This means that there is a vertical asymptote at x = 3. To find the intercepts, we can set P(x) = 0:

5x - 400x + 600 = 0

Solving for x, we get:

x = 1.5 and x = 2.5

Therefore, there are x-intercepts at (1.5, 0) and (2.5, 0). To sketch the graph, we can also note that the coefficient of x^2 is negative, which means that the graph is a downward-facing parabola.

b) The domain of the function is the set of all possible values of x, which in this context represents the amount of coffee sold. Since we cannot sell a negative amount of coffee, the domain is x ≥ 0.

The range of the function is the set of all possible values of P(x), which represents the profit. Since the coefficient of x^2 is negative, the maximum profit occurs at the vertex of the parabola. The vertex has x-coordinate:

x = -b/(2a) = -(-400)/(2(-200)) = 1

Therefore, the maximum profit occurs when x = 1. The vertex has y-coordinate:

P(1) = 5(1) - 400(1) + 600 = 205

Since the coefficient of x^2 is negative, the range is (-∞, 205].

c) The horizontal asymptote of the function is y = -400, which represents the long-term average profit per kilogram of coffee sold. This means that as x gets very large, the profit per kilogram approaches -400. This could happen, for example, if the cost of producing the coffee increased significantly while the price remained the same.

d) To find the amount of coffee that must be sold to make a profit of $4000, we can set P(x) = 4000 and solve for x:

5x - 400x + 600 = 4000

Simplifying, we get:

-395x = -3400

Dividing both sides by -395, we get:

x ≈ 8.61

Therefore, approximately 8.61 kg of coffee must be sold to make a profit of $4000.

Step-by-step explanation:

Answer:

X is 4.

Step-by-step explanation:

Hope this helps!

Answer: 3.3= .033 percentage. .033 times 34000=1112 times (t) time (10 years) equals 11120

Step-by-step explanation:

Answer:

Step-by-step explanation:

7xy+3x+3y−3

To convert 2/5 to a fraction, it is already a fraction in its simplified form, so we can leave it as is.

To convert 2/5 to a decimal, we can divide the numerator (2) by the denominator (5):

2 ÷ 5 = 0.4

Therefore, 2/5 is equivalent to the fraction 2/5 and the decimal 0.4.

Answer:

y = 5/6x + 1/6

Step-by-step explanation:

m = 5/6, x = 7, y = 6

y = mx + b

6 = 5/6(7) + b

b = 6 - 35/6

b = 36/6 - 35/6 = 1/6

y = 5/6x + 1/6

Answer:

Below

Step-by-step explanation:

Here is another way:

 Start with point ( 7,6)   slope ( m= 5/6)  form :

    (y-6) = 5/6 ( x-7)     expand

    y-6 = 5/6 x -  35/6     add 6 to both sides

       y = 5/6 x + 1/6     Done.

Answer:

Assuming a vertical number line:

- Plot the point at 7/10 above the origin, between 0 and 1.

- Plot the opposite of 7/10 by reflecting it across the origin to the point at -7/10 below the origin, between 0 and -1.

- Label the point at 7/10 as "7/10" and the point at -7/10 as "-7/10".

The number line would look like this:

1

|

|

|

|

| 7/10

|

|

|

|

0

|

|

|

|

|

| -7/10

|

|

|

|

-1

Answer:

To find 10.9% of $8.85 we can convert the percentage into a decimal:

10.9% = 0.109

0.109x8.85 = $0.964

=$0.96 (Rounded to 2 decimal places)

ƒ(z) is a nοn-cοnstant pοlynοmial if lim_|z|-->00 |ƒ(z)| = ∞ fοr an entire functiοn ƒ(z).

If ƒ is an entire functiοn such that lim_|z|-->00 |ƒ (z)| = ∞, then we can cοnclude that ƒ(z) is a nοn-cοnstant pοlynοmial.

Tο see why this is true, we can use Liοuville's theοrem, which states that every bοunded entire functiοn must be cοnstant. Since the limit οf |ƒ(z)| as |z| apprοaches infinity is infinity, we knοw that ƒ(z) is unbοunded, and thus nοt cοnstant.

Furthermοre, since ƒ(z) is nοt cοnstant, it must have a finite number οf zerοs, each οf which has finite οrder (since ƒ(z) is entire). This implies that ƒ(z) can be written as a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

In summary, if lim_|z|-->00 |ƒ (z)| = ∞, then ƒ(z) is a nοn-cοnstant pοlynοmial with finitely many terms, each οf finite degree.

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a)  If I randomly catch any one fish from this tank, the probability of catching a medium-sized fish from the tank is 0.3182.
b) the probability of catching a medium-sized guppy from the tank is 0.1391.

c) the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d) the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.

e)  the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.
f) 0.1384 is not equal to 0.1391, which indicates that the two events are not independent

Probability is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

The explanation to the above probability answer are given below:

a)

From the contingency table, we can see that the total number of medium-sized fish is 96. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized fish is:

Probability of catching a medium-sized fish = Total number of medium-sized fish / Total number of fish

Probability of catching a medium-sized fish = 96 / 302

Probability of catching a medium-sized fish = 0.3182

Therefore, the probability of catching a medium-sized fish from the tank is 0.3182

b)
From the contingency table, we can see that the total number of medium-sized guppies is 42. The total number of fish in the tank is 302. Therefore, the probability of catching a medium-sized guppy is:

Probability of catching a medium-sized guppy = Total number of medium-sized guppies / Total number of fish

Probability of catching a medium-sized guppy = 42 / 302

Probability of catching a medium-sized guppy = 0.1391

Therefore, the probability of catching a medium-sized guppy from the tank is 0.1391.

c)

From the contingency table, we can see that the number of medium-sized guppies is 42, and the number of medium-sized fish is 96. Therefore, the probability of catching a guppy if we randomly select a medium-sized fish is:

Probability of catching a guppy given a medium-sized fish = Number of medium-sized guppies / Total number of medium-sized fish

Probability of catching a guppy given a medium-sized fish = 42 / 96

Probability of catching a guppy given a medium-sized fish = 0.4375

Therefore, the probability of catching a guppy if we randomly select a medium-sized fish from the tank is 0.4375.

d)
To calculate the probability of catching a medium-sized guppy if we randomly select a guppy from the tank, we need to find the number of medium-sized guppies in the tank and divide it by the total number of guppies in the tank.

From the contingency table, we can see that the number of medium-sized guppies is 42, and the total number of guppies is 131. Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is:

Probability of catching a medium-sized guppy given a guppy = Number of medium-sized guppies / Total number of guppies

Probability of catching a medium-sized guppy given a guppy = 42 / 131

Probability of catching a medium-sized guppy given a guppy = 0.3206

Therefore, the probability of catching a medium-sized guppy if we randomly select a guppy from the tank is 0.3206.


e)

From the contingency table, we can see that the total number of non-goldfish is 190 (45 medium goldfish + 70 small guppy + 42 medium guppy + 9 medium gourami + 10 large gourami + 14 small gourami). The total number of fish in the tank is 302. Therefore, the probability of catching a fish that is not a goldfish is:

Probability of catching a fish that is not a goldfish = Total number of non-goldfish / Total number of fish

Probability of catching a fish that is not a goldfish = 190 / 302

Probability of catching a fish that is not a goldfish = 0.6291

Therefore, the probability of catching a fish that is not a goldfish if we randomly select a fish from the tank is 0.6291.

f)

From the contingency table, we can see that the probability of randomly catching a guppy is 131/302, which is approximately 0.4344. Similarly, the probability of randomly catching a medium-sized fish is 96/302, which is approximately 0.3182.

Now, let's consider the joint probability of randomly catching a medium-sized guppy, which we calculated earlier to be 42/302, or approximately 0.1391. To determine if the events are independent, we need to compare the product of the probabilities of the individual events (catching a guppy and catching a medium-sized fish) to the joint probability of the events occurring together.

If the events are independent, then the product of their individual probabilities should be equal to the joint probability:

P(catching a guppy) x P(catching a medium-sized fish)
= P(catching a medium-sized guppy)

0.4344 x 0.3182 = 0.1391

0.1384 is not equal to 0.1391, which indicates that the two events are not independent.

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Answer:

To find the domain of the function f(x) = (x-7)(x-1)/(x+3)(x-1), we need to consider the values of x that make the denominator zero since division by zero is undefined.

In this case, the denominator (x+3)(x-1) is zero when x = -3 and x = 1. Therefore, we need to exclude these values from the domain.

So, the domain of f(x) is all real numbers except x = -3 and x = 1.

In interval notation, we can write the domain as (-∞, -3) U (-3, 1) U (1, ∞).

The proof that ΔABC ≅ ΔDCB (congruent) in a parallelogram is because they are alternate interior angles.

If AABC is a parallelogram, then AB and AC are parallel. Therefore, angle BAC is equal to angle BDC since they are alternate interior angles.

Similarly, angle ABC is equal to angle ADC since they are also alternate interior angles.

Now, using the angle-angle-side (AAS) postulate to show that ΔABC and ΔDCB are congruent.

Since angle BAC = angle BDC and angle ABC = angle ADC, angle A = angle D, angle B = angle C, and side AB = side DC.

Therefore, ΔABC ≅ ΔDCB.

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Image transcribed:

8. Prove ΔABC≅ΔDCB (parallelogram)

Answer:

This isn't a reasonable scale

Step-by-step explanation:

Using the scale 1 in. = 4 in., the width of the scaled down painting will be:

48 in. ÷ 4 = 12 in.

And the height of the scaled down painting will be:

120 in. ÷ 4 = 30 in.

So the scaled down painting will be 12 in. wide and 30 in. tall. Since Sarah's paper is 12 in. wide and 24 in. tall, the scaled down painting will fit within the paper's width but will be taller than the paper.

Therefore, the scale is not reasonable because the scaled down painting will not fit within the dimensions of Sarah's paper.

10³•10⁵•10³

Step-by-step explanation:

10³means 10×3,10⁵means 10×5and 10³means 10×3 30+50+30=110

Since we are given the lengths of the two legs of the triangle, 14 and 16 respectively, the area of the triangle is 152.97 square units.

To find the area of a triangle, we can use the formula: area = (1/2) x base x height

In this case, we are given the lengths of the two legs of the triangle, 14 and 16, so we can use the Pythagorean theorem to find the length of the base:

a^2 + b^2 = c^2

14^2 + 16^2 = c^2

196 + 256 = c^2

452 = c^2

c = √452

c ≈ 21.26

To find the height, we need to drop a perpendicular from the apex to the base, forming two right triangles. Using the Pythagorean theorem again, we have:

(1/2) x base x height = area

(1/2) x 21.26 x height = area

Let's use the right triangle with legs 14 and height h as our reference. Then we have:

h^2 + 7^2 = 16^2

h^2 + 49 = 256

h^2 = 207

h = √207

h ≈ 14.39

Therefore, the area of the triangle is:

= (1/2) x 21.26 x 14.39

= 152.9657

= 152.97².

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According to the solving the area of the sidewalk is 138.16 square meters.

Size of a location on a surface is expressed in terms of area. As opposed to surface area, which refers to the area of an open surface or the border of a three-dimensional object, plane region or plane size refers to the area of a shape or planar lamina.

The width of the circular sidewalk is 2 m, which means that the radius of the entire area, including the flower bed and the sidewalk, is 10 m + 2 m = 12 m.

To find the area of the sidewalk, we need to subtract the area of the flower bed from the area of the larger circle.

Area of larger circle = πr²

= 3.14 x 12²

= 452.16 square meters (rounded to two decimal places)

Area of flower bed = πr²

= 3.14 x 10²

= 314 square meters

Area of the sidewalk = Area of larger circle - Area of flower bed

= 452.16 - 314

= 138.16 square meters (rounded to two decimal places)

Therefore, the area of the sidewalk is 138.16 square meters.

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Answer:

Thank you for your kind words and concern. I appreciate your offer to listen and support others. I think it's important for people to know that they can reach out for help when they're struggling and that there are resources available to them. And as for something that made me happy, I always appreciate it when people show kindness and empathy towards others, and when they're able to make a positive impact in the world.

Answer:hi tysm your literally the person everyone needs in there life and your so kind for that

Step-by-step explanation:

Today me and my friend went to the park with my brother and we got snowcones and played for a while then I got home and took a refreshing nap!

Therefore , the solution of the given problem of unitary method comes out to be  enable the current to travel, a connection, such as a wire or conductor, is required.

Utilizing previously well-known variables, this uniform convenience, or all crucial elements from a prior flexible study that followed a particular methodology event can all be used to achieve the goal. It will be possible to contact the entity again if the anticipated assertion outcome actually happens; if it doesn't, both important systems will surely miss the statement.

Here,

D. In order for a current to move, there must be an energy source, a recipient, and a connection.

Current is the movement of charged ions through a conductor, most frequently electrons.

The energy required to transport the charged particles is provided by an energy source, such as a battery or generator.

The current has a route through a recipient, which can be a machine or a circuit.

In order to finish the circuit and enable the current to travel, a connection, such as a wire or conductor, is required.

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Answer:

b=7 & c=7√2

Step-by-step explanation:

b=7 as it is an isosceles triangle

now using Pythagoras theorem,

(c)^2= (7)^2+(7)^2

⇒(c)^2= 49+49

⇒(c)^2= 98

⇒c= √98

⇒c=7√2

Answer:

Step-by-step explanation:

You want the missing side lengths in an isosceles right triangle with one side given as 7.

The two congruent acute angles tell you this right triangle is isosceles. That means sides 7 and b are the same length:

  b = 7

The hypotenuse of an isosceles right triangle is √2 times the side length:

  c = 7√2

__

Additional comment

You can figure the hypotenuse using the Pythagorean theorem if you haven't memorized the side relations of this "special" right triangle.

  c² = 7² + b²

  c² = 7² +7² = 2·7²

  c = √(2·7²) = 7√2

The side length ratios for an isosceles right triangle (angles 45°-45°-90°) are 1 : 1 : √2.

The other "special" right triangle is the 30°-60°-90° triangle, which has side length ratios 1 : √3 : 2.