Apples are on sale for $3 for 1/3 of a pound. How many pounds can you buy for
$10?

Percentage of field goals a football player is expected to make = 80%

Number of field goals he attempted in a game = 5

Number of field goals he will be expected to make :

= 80% of the number of field goals he had attempted

= 80% of 5

\( = \tt \frac{80}{100} \times 5\)

\( = \tt \frac{80 \times 5}{100} \)

\( = \tt \frac{400}{100} \)

\( \hookrightarrow \color{plum} \tt4 \: field \: \: goals\)

Thus, number of field goals he is supposed to make = 4

▪︎Therefore, the football player is expected to make 4 out of the 5 field goals he attempted.

Answer:

so what to fo tell in brief

if u have time

Tessa will have 178 pairs of rabbits on April 1, 2012, assuming the rabbits continue to breed according to the pattern.

A series of numbers in which each number is the sum of the two preceding numbers, starting from 0 and 1 is termed as The Fibonacci sequence.

Tessa started with two rabbits, one male and one female. From June 1 to September 1, each pair of rabbits gave birth to a new pair of rabbits. This means that each pair of rabbits is capable of producing one new pair every month. So, on June 1, there were two pairs of rabbits, on July 1, there were three pairs, on August 1, there were four pairs, and on September 1, there were six pairs.

Let's keep going with this pattern: on October 1, each of the six pairs produces a new pair, so there are 10 pairs. On November 1, there are 16 pairs, and on December 1, there are 26 pairs.

Following this pattern, we can use the Fibonacci sequence to find the number of pairs of rabbits on April 1, 2012. The sequence starts with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, and so on.

Starting with 1 pair of rabbits on April 1, 2011, we can use the Fibonacci sequence to find the number of pairs on April 1, 2012:

April 1, 2011: 1 pair

May 1, 2011: 1 pair

June 1, 2011: 2 pairs

July 1, 2011: 3 pairs

August 1, 2011: 4 pairs

September 1, 2011: 6 pairs

October 1, 2011: 10 pairs

November 1, 2011: 16 pairs

December 1, 2011: 26 pairs

January 1, 2012: 42 pairs

February 1, 2012: 68 pairs

March 1, 2012: 110 pairs

April 1, 2012: 178 pairs

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The equivalent system of equations that would guarantee a solution of (3,-1) are

The system of equations is given as:

px +qy =r

fx + gy = h

Add both equations

(p + f)x + (q + g)y = r + h

Multiply the second equation by a constant (say 5)

5fx + 5gy = 5h

Multiply the first equation by a constant (say 2)

2px + 2qy = 2r

The combination of any of the above equations to the given equation would guarantee a solution of (3,-1)

Hence, the equivalent system of equations are (a), (d) and (e)

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(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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Answer:

it should be the second answer

The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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Given that a continuous random variable x has a normal distribution with a mean of 12.25 and the probability that x is less than 13 is 0.82, we can use the symmetry of the density function to find the probability that x is greater than 11.50.

Since the normal distribution is symmetric, the probability of x being less than 13 is equivalent to the probability of x being greater than the mean minus 13. Therefore, P(x < 13) = P(x > 12.25 - 13).

To find the probability that x is greater than 11.50, we can use the same reasoning. We know that the probability of x being less than 11.50 is equivalent to the probability of x being greater than the mean minus 11.50. Therefore, P(x < 11.50) = P(x > 12.25 - 11.50).

To illustrate the computation, we can sketch the density curve of the normal distribution with the relevant regions shaded. The mean, 12.25, is the center of the distribution. We shade the region to the left of 13, representing P(x < 13), and shade the region to the right of 11.50, representing P(x > 11.50). By using the symmetry of the density function, we can see that the shaded region to the right of 11.50 is equal to the shaded region to the left of 13.

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Answer:

5.048

5.48

5.4871

5.7

Step-by-step explanation:

5.48 is 0.0071 less than 5.4871

Using the knowledge of angle pairs that are formed by transversal and parallel lines: <1 and <3 are supplementary, so also are <2 and <4, because they are same-side interior angles.

One of the angle pairs that are formed by parallel lines and transversal is called the same-side interior angles, or consecutive angles. They lie on the same side of the transversal that intersects the two parallel lines.

Based on the same-side interior angles theorem, these consecutive angles are proven to be equal or supplementary to each other. That is, their angle measure will be equal to 180 degrees if added.

In the same vein, if we apply this to how the interior angles of a trapezoid relate, we can deduce the following:

Angle 1 and angle 3 are supplementary, and Angle 2 and angle 4 are supplementary because they are consecutive angles or same-side interior angles.

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Answer:

Option C

Step-by-step explanation:

It is C because the triangle is same length and same level.

Answer:

Part A - Angle d is 29º

Part B - Angle e is 61º

Part C - Angle f is 95º

Part D - the box represents a 90º angle

Step-by-step explanation:

Angle d is 29º because of the vertical angles theorem

Angle e is 61º because if you take into account that it tells you one of the angles is 90º, you'll add d, which is 29º, to that in order to get 119. Then you'll subtract 119 from 180, as all the angles in a triangle must have a sum of 180º degrees. The result should be 61º

Although it looks rather acute, f should be 95 degrees because it's a supplementary angle with 85º, meaning you subtract 85 from 180

The box in the triangle is just a symbol indicating a 90º angle

Answer:

9 is the greater x and 2 is the lesser x

Step-by-step explanation:

I really don't know how to explain without simply writing it out for you, which I really can't do. But there's the answer lol

Answer:

x = 2, x = 9

Step-by-step explanation:

Given

x² - 11x + 18 = 0

Consider the factors of the constant term (+ 18) which sum to give the coefficient of the x- term (- 11)

The factors are - 9 and - 2 , since

- 9 × - 2 = + 18 and - 9 - 2 = - 11 , thus

(x - 9)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2 ← lesser value

x - 9 = 0 ⇒ x = 9 ← greater value

7 is the slope of BD in Quadrilateral.

What in arithmetic is a quadrilateral?

Four sides, four vertices, and four angles make up a quadrilateral, which is a two-dimensional form. Concave and convex are the two most common forms. Additionally, there are several subgroups of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombus, and squares.

                                 There are four closed sides to a quadrilateral. Quadrilaterals are the following figures: produced by Raphael. a quadrilateral form. The form features a single pair of parallel sides and no right angles.

points A(4, 9) and C(3, 2)

      slope = y₂ - y₁/x₂ - x₁

                =  2 - 9/3 - 4

                = - 7/-1

                = 7

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Answer:

y = 3x - 17

Step-by-step explanation:

Parallel lines have the same slope.

The slope of the given line, y = 3x - 2 is 3.

The equation we are looking for is of the form

y = mx + b

Since we know the slope, m, is 3, we have

y = 3x + b

To find the value of b, we substitute x and y with the values from the given point and solve for b.

-2 = 3(5) + b

b = -17

The equation is

y = 3x - 17

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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4^4 and 678^678  are the only two interesting numbers that divide 2023^2023.

To find all interesting numbers that divide 2023^2023, we need to find all positive integers n such that n^n divides 2023^2023.

Since 2023^2023 = 2023 * 2023 * ... * 2023 (2023 times), we can see that the factors of 2023^2023 are simply the powers of 2023.

So, a number n^n divides 2023^2023 if and only if 2023^(n-1) divides 2023^2023. This means that n-1 must be a factor of 2023.

The factors of 2023 are 3 and 677. Therefore, the values of n that satisfy the condition are 4 (3+1) and 678 (677+1), which correspond to the interesting numbers 4^4 and 678^678. These are the only two interesting numbers that divide 2023^2023.

Therefore, 4^4 and 678^678  are the only two interesting numbers that divide 2023^2023.

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Answer:

Step-by-step explanation:For any shape it’s always true that for volume

V

the surface area is:      =2‾‾‾√3

for some constant   depending on the shape. So to work out the surface area from the volume we just need to know the value of   for the shape in the question.

For a cube for example we have that  =6, assuming consistent units i.e.: unit 2 for area and unit 3

3

 for volume.

More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement  

d

 of the shape then we can always write these formula in the form:

=13

=12

for constants  constants   1  and  1

. Then we have:

=1‾‾‾√3

=1(1)2‾‾‾‾‾‾√3

=121‾‾‾√32‾‾‾√3

and therefore:

=121‾‾‾√3

For example for a sphere we have that   that  =42  and  =433 and therefore:

=4(43)2‾‾‾‾‾‾√3

=36‾‾‾‾√3

So if a particular sphere has volume   =8  then we can calculate its surface area to be:

=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2

Answer: 11.31

Step-by-step explanation:

Answer:

Has one to one correspondence

Answer:

x= 11°

Step-by-step explanation:

∠BEF= 180° -4x (adj. ∠s on a str. line)

∠BFE

= 180° -147° (adj. ∠s on a str. line)

= 33°

∠BEF +∠BFE +∠EBF= 180° (∠ sum of triangle)

180° -4x +33° +x= 180°

-4x +x= 180° -180° -33°

-3x= -33°

3x= 33°

Divide both sides by 3:

x= 33° ÷3

x= 11°

Answer:

Step-by-step explanation:

The loop will run an infinite number of times

Answer:

The answer is b.

Step-by-step explanation:

If you divide y by x for every pair, you will get the number 4. This means that it is proportional because each pair has the same solution.  

Hope this helps!

The correct simplified form of -7x²+4x²-3x²-13x+4x-21 is -6x²-9x-21.



To simplify the given polynomial, we need to combine like terms with the same degree. Let's combine the like terms:
-7x²+4x²-3x² = -6x²
-13x+4x = -9x

Therefore, the polynomial can be written as -6x²-9x-21. This is the simplified form of the given polynomial.  

We can check this answer by adding the like terms in the original polynomial.  

-7x²+4x²-3x²-13x+4x-21 = (-7+4-3)x²+(-13+4)x-21
= -6x²-9x-21

Therefore, -6x²-9x-21 is the correct simplified form of the given polynomial.

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The probability that a randomly chosen student is studying a language other than English is 0.43.

The probability that a randomly chosen student is studying french, german, or Spanish is 0.4.

This is a legitimate probability model since the random variable as well as the probability distribution function otherwise known as pdf has been provided in the question.

From the question, we can obtain the pdf as follows;

    Language:  Spanish   French   German   All others   None

    Probability:  0.30         0.08        0.02         0.03         0.57

The probability that a randomly chosen student is studying a language other than English is 1 - 0.57 = 0.43.

The probability that a randomly chosen student is studying french, german, or Spanish is the sum of the individual probabilities of french german, and Spanish which is equal to

0.30 + 0.08 + 0.02 = 0.4.

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1. It can be concluded that the normality assumption is not justified.

2. It can be concluded that the normality assumption is justified.

1.Taking a simple random sample of 100 college students and asking them the number of movies they watched last week (x), the normality assumption can be verified graphically.

2. The central limit theorem states that if the sample size is large enough, the distribution of the sample mean will be approximately normal, regardless of the distribution of the original population.

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Without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane

To solve this problem, we need to determine the probability that more than 65 people (the capacity of the plane) will show up from the 70 booked passengers.

Step 1: Identify the relevant information
- Maximum capacity of the plane: 65
- Number of people booked: 70

Step 2: Calculate the probability of each possible outcome
To exceed the capacity, at least 66 passengers must show up. We need to calculate the probability of 66, 67, 68, 69, and 70 passengers showing up. However, we don't have information on the individual probability of a passenger showing up. If we had this information, we could use the binomial probability formula.

Step 3: Express the final answer
Unfortunately, without the individual probability of a passenger showing up, we cannot calculate the exact probability of the number of people who show up exceeding the capacity of the plane. Please provide the probability of a passenger showing up so we can give you an accurate answer.

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Answer:

gyufigaruofhasidjfdskcm

Step-by-step explanation:

The length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

The box is in the shape of a cuboid

The volume of a cuboid = l b h, where l is the length, b is the breath or width and h is the height

Putting the values of width and volume in the formula

x³ - 3x²-10x = l ×(5-x) × h

This becomes a cubic equation

l × h = (x³-3x²-10x)/ 5-x

l × h = -x²-2x

l × h = -x(x+2)

Now, putting the value of l × h in the equation we get

v= -x ( x+ 2) (5-x)

v = -x (x-5)(x +2)

Hence, the length, width, and height of the box in factored form is  -x (x-5)(x +2) which is option A

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Answer:

D

Step-by-step explanation:

2x < 16 - 6x

Bring the variables to one side

2x < 16 - 6x

+6x       +6x

8x < 16

Divide both sides by the coefficient

8x/8 < 16?8

x < 2