A zookeeper predicted the weight of a new baby elephant to be 232 pounds when it was born. The elephant actually weighed 264 pounds at birth. What was the percent error of the zookeeper's prediction?

The height of the shorter flagpole is 22.5 feet, given that the taller 30-foot flagpole casts a shadow of 20 feet and the shorter flagpole casts a shadow of 15 feet.

We have two flagpoles, a taller one and a shorter one. We are given the following information:

The taller flagpole is 30 feet tall, the taller flagpole casts a shadow of 20 feet, the shorter flagpole casts a shadow of 15 feet.

We want to find the height of the shorter flagpole, denoted as "h."

We can use the concept of similar triangles to solve this problem. Similar triangles have the same shape but can be different in size. In this case, the two flagpoles and their shadows form similar triangles.

Let's set up a proportion using the heights and shadows of the flagpoles: h / 15 = 30 / 20.

We know that the ratio of corresponding sides in similar triangles is equal. In this case, the ratio of the heights of the flagpoles is equal to the ratio of their shadows.

Now, we can solve the proportion to find the height of the shorter flagpole (h): h = (15 * 30) / 20

Simplifying the equation: h = 450 / 20

h = 22.5 feet. Therefore, the height of the shorter flagpole is 22.5 feet.

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Answer:

it is 12+3x your welcome

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is written as 3x³ + 3x.

Let's assume the two trinomials are A and B. We are given that the sum of these two trinomials is equal to 4x³ + 3x. Mathematically, we can represent this as:

A + B = 4x³ + 3x

Now, we are also given one of the trinomials, which is x³ + 2, and we need to find the other trinomial (B).

To find B, we need to isolate it on one side of the equation. Let's rearrange the equation:

B = 4x³ + 3x - A

Now, we need to determine the value of A. We can do this by comparing the given trinomial with the general form of a trinomial, which is ax³ + bx^2 + cx.

From the given trinomial x³ + 2, we can identify that a = 1 (coefficient of x³) and b = 0 (coefficient of x²), since there is no x² term. The coefficient of x is c = 0 (since 3x = 3x¹, there is no constant term in this expression).

Now, we can write A in terms of its coefficients:

A = 1x³ + 0x² + 0x

A = x³

Now, we can substitute the value of A back into the equation for B:

B = 4x³ + 3x - x³

B = 3x³ + 3x

So, the other trinomial (B) is 3x³ + 3x.

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Complete Question:

The sum of two trinomials is 4x³ + 3x then one trinomial is x³ + 2 then the other is

The equations of inequalities are y < 4 and y > x.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

The line of the graph is not solid. The lines of the graph is dotted. Thus the inequality sign will be less than or greater than.

One graph line is parallel to x-axis and it intersect y axis at (0,4).

The equation of the line that is parallel to x-axis and it intersect y axis at (0,a), then the equation of the line is y = a

The equation of the line parallel to x-axis is y = 4.

The equation of line that passes through origin is y = mx

The line passes through the point (1,1).

Putting x = 1 and y = 1 in y = mx:

1 = m

Therefore the equations of lines are y = x and y = 4

The inequality will be y < x or y > x for the line  y = x.

The inequality will be y < 4 or y > 4 for the line  y = 4.

(-2,0) is a point on the shaded area.

Putting x = -2 and  y = 0 in y > x

0 > -2 true.

The inequality is y > x

Putting x = -2 and  y = 0 in y < 4

0 < 4  true.

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Answer:

Given that the garden is a right triangle with base 25m start and height 30 m The length of the hypothenus can be achieved by using pythagorean theorem. Please find the attached file for the diagram. I made a large unit for the sake of clarity.

Answer:

6.0 on the left side 5.0 at the bottom 7.8 on the right side

Step-by-step explanation:

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Answer:

4

Step-by-step explanation:

2(8)-12=

16-12=

=4

The recursive formula for the given problem is W(n) = W(n-1) + 2 * W(n-1), with the base case W(0) = 1. This formula calculates the number of n-letter "words" that can be created from an unlimited supply of 'a's, 'b's, and 'c's,

To derive the recursive formula, we consider two cases for the first letter of the word: either it is an 'a' or it is not. If the first letter is 'a', we need to ensure that the remaining (n-1) letters form a word with an even number of 'a's. Therefore, the number of words in this case is equal to W(n-1), as we are recursively solving for the remaining letters.

If the first letter is not 'a', we have the freedom to ch

oose from 'b' or 'c'. In this case, we have two options for each of the remaining (n-1) letters, resulting in 2 * W(n-1) possibilities. By summing these two cases, we obtain the recursive formula W(n) = W(n-1) + 2 * W(n-1), which calculates the total number of n-letter words satisfying the given criteria.

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The statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

Let {v₁, v₂, ...., vp} be a set of p vectors in Rⁿ, then the following are equivalent statements:

1. The set of vectors is linearly dependent.

2. There exist constants c₁, c₂, ... cp, not all of them zero, such that:

c₁v₁+c₂v₂+...+cpvp = 0 (zero vector)

For the above to be possible, the following must hold true: p≥n

Because in Rⁿ, each vector has n components.

So, the total number of unknowns is p, while the total number of equations that we have is n.

Hence p≥n for the system of linear equations above to have a non-zero solution.

Hence, the statement "If a set of vectors {v₁, v₂, ...., vp} in Rⁿ is linearly dependent, then p>n" is False.

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The curve of the given vector equation is shown below: It can be seen that the arrow points towards the positive x-axis, which is in the direction of increasing t.

To sketch curve of the given vector equation, r(t) = < t , 2 - t , 2t >, and indicate with an arrow the direction in which t increases, we need to follow some steps.

Step 1: Create a table for the vector. We need to create a table and fill in the values for t, x, y, and z. Let's do it below:

\(tt (time)xx (position)x(t)x(t)(2−t)(2−t)2t2t\)

Step 2: Plotting the points. We can plot the points by simply taking the x, y and z values from the table created above. The curve will pass through these points. The curve will be three-dimensional.

Step 3: Indicate the direction of t. To indicate the direction of t, we use an arrow on the curve. The arrow is drawn such that it starts from the initial point and points in the direction in which the parameter (in this case, t) increases. In this problem, since t increases in a positive direction, we take the arrow pointing towards the positive x-axis.

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Answer:

Step-by-step explanation:

x+7=15

x=15-7

x=8

since it is a rectangle the breadth are equal.

Answer:

1. 5x(n-7)

2. 4÷(p-6)

3. 14+(7xn)            (n is "a number")

Answer:

15 ×10^-6

Step-by-step explanation:

1 m = 100 cm

1m^3 = 100^3 cm^3

1m^3 = 1×10^6 cm^3

15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer:

C.  \( \dfrac{1}{3x + 1} \)

Step-by-step explanation:

\( \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = \)

Factor all polynomials.

\( = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

\( = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} \)

To divide by a fraction, multiply by its reciprocal.

\( = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} \)

Cancel out common factors in the numerator and denominator.

\( = \dfrac{1}{3x + 1} \)

The percentage of the corals at the dive site that Sarah observes died more than 12 months ago is 21%.

A percentage is a specification of the quantity of an item in a collection per 100 of all items in the  collection.

The observations of the corals are;

The percentage of the corals that are healthy = 30%

Percentage of the corals that are unhealthy = 40%

Percentage of the corals that are dead = 30%

Percentage of the dead corals that died in the past 12 months = 30%

The percentage of corals Sarah observed died more than 12 months ago; required.

The 30% of the dead corals that died in the last 12 months, indicatesa that the percentage of the dead corals that died more than 12 months ago = 100% - 30% = 70%

The percentage of the dead corals that died more than 12 months ago = 70%

Therefore, the percentage of the population of corals at the dive site that died more than 12 months ago = 70% × 30% = 21%

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\({ \pink{ \tt{ { \tan }^{ - 1} y - \frac{ {x}^{3} }{3} = c }}}\)

Step-by-step explanation:

This can be written as,

\({ \green{ \tt \frac{dy}{1 + {y}^{2}}}} = { \green{ \tt{(1 + {x}^{2})dx}}}\)

Integeare on both sides, then

\({ \blue{ \tt{ ∫  \frac{1}{1 + {y}^{2}}}}}{ \blue{ \tt{dy}}} = { \blue{ \tt{  ∫ (1 + {x}^{2} )dx}}}\)

\({ \blue{ \tt{ { \tan }^{ - 1} y = \frac{ {x}^{3} }{3} + c}}}\)

\({ \huge{ \green{ \blue{ \tt{ { \tan }^{ - 1} y - \frac{ {x}^{3} }{3} = c}}}}}\)

Answer:

4 students

Step-by-step explanation:

Although I am not sure if I am completely correct. I’ll try my best.

We know:

The numbers 0-12 on the frequency table is the number of windows.

The numbers on the bottom is the amount of students.

-

What we can see:

As we can see..

-

Calculations:

Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)

Add.

4+0

= 4

Therefore, 4 students have less than 10 windows.

Answer:

X=30

Step-by-step explanation:

1. Divide both sides by 4X to create zero pairs

2. 120/4= 30

Answer:

The answer is 30

Step-by-step explanation:

Answer:

the first option

because when x is increased by 50 and y is decreased by 50 the equation goes thus

x+ 50 + y - 50 = 600

and + 50 -50 = 0

therefore x + y = 600

Answer:

f(-2) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -3x² - 5x + 11

f(-2) is x = -2

Step 2: Evaluate

Answer:

= a(7b + 1)

Step-by-step explanation:

7ab + a

a(7b + 1).

Answer:

this is the answer please give brainliest

The given statement no matter the population distribution from which a sample of size n is taken, we can use the normal distribution to approximate the distribution of the sample mean as long as n is large enough is True.

The statement is true. According to the central limit theorem, regardless of the population distribution, when a sample of size n is taken, if n is large enough (typically considered n ≥ 30), the distribution of the sample mean will approximate a normal distribution. This is true even if the population distribution is not normal.

The approximation holds due to the properties of sampling distributions, which tend to become more symmetrical and bell-shaped as the sample size increases. The normal distribution is often used as an approximation for the sample mean distribution because it is mathematically convenient and widely applicable in statistical inference.

Therefore, the given statement is true.

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Complete question is below

True or false

No matter the population distribution from which a sample of size n is taken, we can use the normal distribution to approximate the distribution of the sample mean as long as n is large enough.

Answer:

x = \(3\sqrt{13}\) = 10.8

Step-by-step explanation:

Both problems are done the same way.  I will do the first one and you do the second one.  OK?

Move the radius x to make a right triangle.  The 6 unit segment bisects the chord.  So, the legs of the right triangle are 6 and 9

The use the Pythagorean theorem to find x, which is the hypotenuse of the right triangle.   Now,

\(6^{2} + 9^{2} = x^{2}\)

\(x^{2} = 36 + 81 = 117\\x = \sqrt{117} = 3\sqrt{13}\)= 10.8

None of the answer choices are to the nearest tenth.  So, I am confused about that.

In  the second problem, the answer should be 11.2

The coordinates of the image of quadrilateral are C' = (-13, 12), D' = (13, 12), E' = (15, 0) and F' = (-9, 3)

A reflection is a transformation representing a flip of a figure.

Given that, the image of quadrilateral CDEF under a reflection about the line x = -2.

We need to find the coordinates of the image.

Since, the line is parallel to y-axis and at a distance of 2 units from it.

Therefore,

The required coordinates are

C' = (-13, 12)

D' = (13, 12)

E' = (15, 0)

F' = (-9, 3)

Hence, the coordinates of the image of quadrilateral are C' = (-13, 12), D' = (13, 12), E' = (15, 0) and F' = (-9, 3)

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Answer:

(3x + 5) and (x - 6).

Step-by-step explanation:

Based on the given function, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is 57.797°. (Option B)

The temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). Hence, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is given by:

1/((6-3)) ∫_3^6▒〖(65-8 sin⁡(πt/12)dt〗

65/3 t+  32/π  cos⁡(πt/12)

(65π-16√2)/π

57.797

Note: The question is incomplete. The complete question probably is: On a certain day, the temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). What is the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit? A) 57.609° B) 57.797° C) 58.172° D) 59.907°.

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Answer:

x = -8

Step-by-step explanation:

The triangle is isosceles so the two angles are equal

Equation :

65 = x + 73

Subtract 73 from both sides

-8 = x

Check:

65 = -8 + 73

65 = 65

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Step-by-step explanation:25

Parallelogram II and IV have the same area.

A parallelogram with the same base and height has the same area, regardless of shape. The product of base and height is equal. 

The following is a list of the characteristics of a parallelogram:

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