Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.
¿Cómo determinar la edad del conductor según el acertijo?
Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.
Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.
En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:
x = 56 - 31 + 18 - 16
x = 27
El conductor tiene una edad de 27 años.
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Electric utility poles in the form of right cylinders are made out of wood that costs $25.81 per cubic foot. Calculate the cost of a utility pole with a radius of 0.5 ft and a height of 25 ft. Round your answer to the nearest cent.
The volume of a cylinder can be calculated as π * radius^2 * height. In this case, the radius is 0.5 ft and the height is 25 ft, so the volume is:
π * 0.5^2 * 25 = 19.63 cubic feet
So the cost of the utility pole would be 19.63 * $25.81 = $509.24
Rounding to the nearest cent, the cost of the utility pole would be $509.24, which can be rounded to $509.00.
there is no such thing as a group of answer choices sound argument that is also valid. valid argument that is also sound. valid argument that is not sound. sound argument that is not valid.
There is no such thing like Sound argument that is not valid.
What is an argument that is valid?
Any argument whose conclusion is not supported by its premises is invalid (i.e., faulty). That is, the conclusion could still be wrong even though all the premises are true.
Because validity of the argument is a requirement for soundness
A valid argument is one in which we can demonstrate that, if its premises are true, its conclusion will also be true.A good argument is one with just true premises and is valid.A sound argument cannot be given false premises.A sound argument cannot support a valid one.An argument is valid and contains all true premises if it is sound. The argument is sound, so if all of the premises are true, the conclusion must also be true. It follows that the conclusion of a sound argument must be true since all of its premises are true.
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Hakeem gave out a survey to some students in his school about their favorite color. 325 of those surveyed said their favorite color was red. If 65% of the students surveyed said their favorite color was red, how many students were surveyed in total?
Answer: Let's say the total number of students surveyed is "x".
We know that 65% of the students surveyed said their favorite color was red, which means that 325 students said their favorite color was red.
We can set up a proportion to solve for "x":
65/100 = 325/x
To solve for "x", we can cross-multiply:
65x = 32500
Dividing both sides by 65, we get:
x = 500
Therefore, Hakeem surveyed 500 students in total.
Step-by-step explanation:
Ill give brainliest! Sorry its sideways.
Answer:
b. -2 and 2
I'm not sure about answer...
Answer:
2 and -2
Step-by-step explanation:
pretty much its asking when y = 4 what does x equal and if you look at the graph when y = 4 x = 2 and -2
Find the value of x.
Round to the nearest tenth.
X
16
30°
30
x = [?]
Law of Cosines: c2 = a2 + b2 - 2ab cos C
Please need answer asap
Answer:
18.0
Step-by-step explanation:
==>Given:
Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
==>Required:
Value of x to the nearest tenth
==>Solution:
Using the Cosine rule: c² = a² + b² - 2abcos(C)
Let c = x,
a = 16
b = 30
C = 30°
Thus,
c² = 16² + 30² - 2*16*30*cos 30°
c² = 256 + 900 - 960 * 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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of the passengers on a 757 airliner, 40% are female. a random sample of 25 passengers is selected. what is the expected number of female passengers in the sample?
Therefore, the expected number of female passengers in the sample of 25 passengers is 10.
To find the expected number of female passengers in the sample, we can multiply the proportion of females in the population by the sample size.
Given that 40% of the passengers on a 757 airliner are female, the proportion of females is 0.40.
The sample size is 25 passengers.
Expected number of female passengers = Proportion of females * Sample size
Expected number of female passengers = 0.40 * 25
Expected number of female passengers = 10
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please no links!!
and please help me
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
1. 18 markers per packet.2. 6 minutes per video (actual is 6 minutes 5 seconds) 3. 16 plants per row.4. 12 muffins per batchHope it helps!
Brainliest pls!
Follow me! ♧
a circular pool is surrounded by a brick walkway 3 m wide. find the ra- dius of the pool if the area of the walk- way is 198 m*.
The radius of the pool is 9.01 m.
Given,
In the question:
A circular pool is surrounded by a brick walkway 3 m wide.
The area of the walk- way is 198 m^2.
To find the Radius of the pool.
Now, According to the question:
"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".
Let R = Radius of the pool
Area of the circle bounded by the outside edge of the walkway is:
\(\pi\)(R +3)^2
Area of the pool is:
\(\pi R^2\)
Now, Our equation is:;
\(\pi\)(R +3)^2 - \(\pi R^2\) = 198
\(\pi\)((R+3)^2 - \(R^2\)) = 198
Open the inner bracket :
\(\pi\)(\(R^2+6R+9-R^2\)) = 198
\(\pi\)(6R +9) = 198
6R+9 = 198/\(\pi\)
6R = 198/\(\pi\) - 9
R = (198/\(\pi\) - 9)/6
R = (198/(3.14) - 9)/6
R = (63.057 - 9)/6
R = 54.057/6
R = 9.01 meters
Hence, The radius of the pool is 9.01 m.
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There are 5 monkeys and 1 tiger which one is smarter?
Answer:M O N K E
Step-by-step explanation:because monke smort
Answer: Monkeys!
Step-by-step explanation: Monkeys are sometimes smarter than humans! There is also 5 of them
During a huge snowstorm in the White Mountains last year, it snowed 67.5 cm In one day. How much did it snow in meters?
Be sure to include the correct unit
A circle has a circumference of 8 millimeters. What is the circle's radius? Use 3.14 for pi and round your answer to the nearest tenth.
\( \sqrt{28} \)simplest radical form
Recall following property of radicals:
\(\sqrt[]{a\cdot b}=\sqrt[]{a}\cdot\sqrt[]{b}\)Since 28 can be factorized as:
\(2^2\cdot7\)Use the property previoulsy mentioned to rewrite the square root of 28:
\(\begin{gathered} \sqrt[]{28}=\sqrt[]{2^2\cdot7} \\ =\sqrt[]{2^2}\cdot\sqrt[]{7} \\ =2\cdot\sqrt[]{7} \end{gathered}\)Therefore, the simplest radical form of the square root of 28, is:
\(2\cdot\sqrt[]{7}\)Please help me with this
Answer:
1 and 4
Step-by-step explanation:
(x²+1)(x²-4) = x^4 -3x²-4
The green blank is 1 and the blue/purple is 4.
Hope this helped and brainliest please
3If p(x) = 2x² + 9x -9, find ppl43рП(Type(Type an integer or fraction.)4
In order to determine the value of p(3/4), we just have to replace 3/4 for x, like this:
\(\begin{gathered} p(\frac{3}{4})=2(\frac{3}{4})^2+9\frac{3}{4}-9 \\ \end{gathered}\)Then, we just have to simplify this expression to determine the vapue of p(3/4), like this:
\(\begin{gathered} p(\frac{3}{4})=2\frac{3^2}{4^2}^{}+9\frac{3}{4}-9 \\ p(\frac{3}{4})=2\frac{9}{16}^{}+9\frac{3}{4}-9 \\ p(\frac{3}{4})=\frac{2\times9}{16}+\frac{9\times3}{4}-9 \\ p(\frac{3}{4})=\frac{18}{16}+\frac{27}{4}-9 \\ p(\frac{3}{4})=\frac{9}{8}+\frac{27}{4}-9 \end{gathered}\)By multiplying the denominator and numerator of the second fraction by 2 we can make the the denominator 8 and add the two fractions:
\(\begin{gathered} p(\frac{3}{4})=\frac{9}{8}+\frac{27\times2}{4\times2}-9 \\ p(\frac{3}{4})=\frac{9}{8}+\frac{54}{8}-9 \\ p(\frac{3}{4})=\frac{9+54}{8}-9 \\ p(\frac{3}{4})=\frac{63}{8}-9 \end{gathered}\)Similarly, by multipling by 8 and dividing by 8 the last term, -9, we get:
\(\begin{gathered} p(\frac{3}{4})=\frac{63}{8}-\frac{9\times8}{8} \\ p(\frac{3}{4})=\frac{63}{8}-\frac{72}{8} \\ p(\frac{3}{4})=\frac{63-72}{8} \\ p(\frac{3}{4})=\frac{63-72}{8} \\ p(\frac{3}{4})=\frac{-9}{8} \\ p(\frac{3}{4})=-\frac{9}{8} \end{gathered}\)Then, th answer is:
\(p(\frac{3}{4})=-\frac{9}{8}\)If the Product is -16 and the Sum is -6, what are the two factors?
Answer:
11 * 5 = 55
Step-by-step explanation:
The factors are 5 and 11?
giraffe can run up to 46.93 feet per second. How far could a giraffe run in 1.8 seconds?
Answer:
84.474
Step-by-step explanation:
46.93 x 1.8 = 84.474
Answer:
The giraffe could run 84.474 feet in 1.8 seconds.
Step-by-step explanation:
cross multiply
1x= 84.474
x= 84.474 ft
I need help with these 2 problems, my teacher would like fractions to help explain how I got it... Example (56/100=45/64) =) Thank you in advance!!
We operate as follows:
**First problem:
*We divide the total number of messes by the value of the sum of the ratio.
391 / (14 + 9) = 17
After that, we multiply this value times the ration for the Gooey messes and we will obtain the number of Gooey messes present in the 391 messes:
17 * 14 = 238
So, we can expect 238 Gooey messes.
**Second problem:
*We have 174 purple yogi berries; we will have to calculate the number of berries that represent the 76% if we want to know how many are not purple. We also have the following ration 24:76 here there are 24 purple yogi berries to 76, not purple yogi berries, now we calculate:
\(\frac{24}{76}=\frac{174}{NP}\Rightarrow NP=\frac{174\cdot76}{24}\Rightarrow NP=551\)So, we would expect 551, not purple yogi berries.
HELP THIS IS DUE SOON PLEASEEEEEEEEEEEE HELPPPPPPPPPP
Answer:
6x^2 + 4x
Step-by-step explanation:
g(x) + f(x)
= -8x^2 - 3x + 5 + 2x^2 + 7x - 5
= -8x^2 + 2x^2 - 3x + 7x + 5 - 5
= - 6x^2 + 4x
Find the area of the triangle
Answer:
12 yd^2 (c)
Step-by-step explanation:
A=1/2bh
= 1/2 x 8 x 3
=12 yd^2
Hope it helps!!!
Answer: 12 yd^2
Step-by-step explanation:
Area=\((1/2) *base*height\\\)
here
base= 8yd
height =3 yd
putting values
area=(1/2)*(8)*(3)
area=12 yd^2
Ian bought a package of gummy bears that contains 4 cups. If he eats 2/3 (fraction) cup every day, how many days of candy does he have?
Answer: 6 days.
Step-by-step explanation:
Keep subtracting 2/3 from 4 until you have no gummy bears left. You woukd have to subtract 6 times to get to 0, so it would have to take 6 days.
Write an inequality with the same meaning.
- 15 >t
The inequality - 15 > t has the same meaning as
The inequality - 15 > t has the same meaning as t > -15
What is an inequality?An inequality, In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
The given inequality is - 15 >t
We can rewrite this as t > -15
The above two inequalities have the same meaning.
Reading from right to left, the first inequality says, "b is greater than or equal to negative 18."
Reading from left to right, the second inequality says, "b is greater than or equal to negative 18."
Therefore the two inequalities have the same meaning.
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x - 1/3 = 6
Give your answer as an improper fraction.
Answer:
19/3 (6 1/3)
Step-by-step explanation:
what is the big-oh order of the following growth expression? f(n)=24n 2nlg(n) 280
The big-Oh order of the expression f(n) = 24n²nlogn + 280 is O(n²), which means that the time complexity of the algorithm is proportional to n².
The big-Oh order is a way of measuring the growth of a mathematical expression in terms of time complexity. It is used in computer science to analyze algorithms and to predict their performance.
In this case, we are looking at the big-Oh order of the expression f(n) = 24n²nlogn + 280.
To determine the big-Oh order, we need to find the dominant term in the expression, or the term that grows the fastest as the input size (n) increases.
In this expression, the dominant term is 24n²logn, since it grows much faster than the constant term 280.
Now, we can simplify the expression further. The logarithmic term is a much slower growing term compared to the polynomial term, so we can ignore it.
This means that the big-Oh order of the expression is O(n²), which means that the time complexity of the algorithm represented by the expression is proportional to n².
This means that the time taken by the algorithm will increase rapidly as the input size (n) increases.
Complete Question:
What is the Big-Oh order of the following growth expression?
f(n)=24n+2nlg(n)+280
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A student says an association must be one of two things: positive or negative. What would you tell the student? Explain.
Explanation:
In a scatterplot showing the association between two variables, there are three possible outcomes:
• A positive association
,• No association
,• A negative association
Thus, the student missed out the third possibility, i.e. that there is no association between the two variables.
We are given ab ∥ de. because the lines are parallel and segment cb crosses both lines, we can consider segment cb a transversal of the parallel lines. angles ced and cba are corresponding angles of transversal cb and are therefore congruent, so ∠ced ≅ ∠cba. we can state ∠c ≅ ∠c using the reflexive property. therefore, △acb ~ △dce by the aa similarity theorem. sss similarity theorem. aas similarity theorem. asa similarity theorem.
The triangles are similar to the AA similarity theorem as the two triangles share two congruent angles (Option 1)
In the given description, we are told that line AB is parallel to line DE and that segment CB intersects both lines. This makes CB a transversal of the parallel lines, which means that angles CED and CBA are corresponding angles and are congruent. Therefore, we have:
∠CED ≅ ∠CBA
We are also given that segment AC is congruent to segment CD (i.e., AC ≅ CD) because of the reflexive property.
By the Angle-Angle (AA) similarity theorem, we know that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. In this case, we have:
∠ACB ≅ ∠DCE (because they are corresponding angles)
∠CBA ≅ ∠CED (as shown above)
So, the two triangles share two congruent angles, which means they are similar by the AA similarity theorem. Therefore, we can conclude that:
∆ACB ~ ∆DCE.
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Complete Question:
We are given ab || de. because the lines are parallel and segment cb crosses both lines, we can consider segment cb a transversal of the parallel lines. angles ced and cba are corresponding angles of transversal cb and are therefore congruent, so angle ced … angle cba. we can state angle c using the reflexive property. therefore, ∆ACB ~ ∆DCE ____.
aa similarity theorem. sss similarity theorem. aas similarity theorem. asa similarity theorem.A 12-foot ladder is leaning against a wall. The top of the ladder touches the wall 10 fe above the ground. The bottom of the ladder touches the ground n feet from the wall A student states that the distance from the bottom of the ladder to the wall can be determined by solving the equation below. is the student correct? 12² + 10² = n²
Answer:
No
Step-by-step explanation:
This is the equation he should've wrote instead12^2-10^2=n^2
144-100=n^2
44=n^2
6.633 = n
consider a function z(x, y) and its partial derivative (∂z/∂y)x. if this partial derivative is equal to zero for all values of x, what does it indicate?
If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.
What is a partial derivative?
In differential calculus, partial derivative is defined as the rate of change of multivariable functions concerning change in just one of its variables.
Consider the restriction of f to a line y=c,
then
\( \frac{∂f}{∂x}(x \: c) = fx(f \: c) = 0\)
Pick 2 points a and b, then by mean value theorem there is x0, such that
\(fx(x \: c) = \frac{f(b \: c) - f(a \: c)}{b - a} = 0\)
\(⟹f(b \: c) - f( \: a \: c) = 0⟹f(b \: c) = f(a \: c)⟹f(x \: c) = const.\)
We can show the same way that f(c,y)=const.
Combining f(x,c)=const and f(c,y)=const to get f(x, y)=const.
Hence, If the partial derivative is equal to zero for all values of x then it indicates that the function is constant.
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Please help!! Problem is below!! (30 points max!)
Answer: 15.7 ft squared
Step-by-step explanation:
\(a^2 + b^2 = c^2\\7^2 + 14^2 = c^2\\49 + 196 = c^2\\245 = c^2\\c = \sqrt{245}\\c= 15.7\)
a numerical description of the outcome of an experiment is called ______
Answer: A random variable.
Step-by-step explanation:
a numerical description of the outcome of an experiment is called a random variable.