Answer:
y=(11-8p)xz
Step-by-step explanation:
xyz+8p=11
xyz=11-8p
y=(11-8p)xz
If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x. Write the following algebraically, using x as your unknown. "I think of a number, multiply it by 3, add 4 and square the result."
Answer: (3x + 4)^2
Step-by-step explanation:
I think of a number => x
Multiply it by 3 => 3x
Add 4 => 3x + 4
Square the result => (3x + 4)^2
Consider the parent function P(x)=x2, a parabola that opens upward and passes through the points (−1,1), (0,0) and (1,1).Each of the following graphs shows P(x) as the preimage of the transformation and I(x) as the image of the transformation.Match each function rule of I(x) to its corresponding graph.
The parent function given is,
\(P(x)=x^2\)Therefore,
\(I(x)=-4P(x)\)The graph is shown below
Also,
\(I(x)=P(-4x)\)The graph will be shown below
Next is,
\(I(x)=-\frac{1}{4}P(x)\)The graph will be shown below
Lastly,
\(I(x)=P(-\frac{1}{4}x)\)The graph will be shown below
An experienced computer technician can set up a network in 12 hours. It would take an intern 20 hours to set up the same network. What is the rate of the experienced technician?
A.) 1/12
B.) x/12
Answer:
in my own opinion the answer is is 1/12
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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A binary digit, or "bit", is either 0 or 1. How many different ten-bit sequences containing a single 1 are possible?
Answer:
A ten-bit sequence can have one 1 and nine 0s. There are 10 positions for the 1 to be placed in, such as:
1000000000
0100000000
0010000000
0001000000
0000100000
0000010000
0000001000
0000000010
0000000001
So there are 10 different ten-bit sequences containing a single 1 are possible.
Si una caja de metal está sobre una pista de hielo,
¿Cuánto trabajo se realizará sobre ella si se aplica
una fuerza de 800 N desplazándola una distancia
de 10 metros?
Por definición de trabajo, se realizará un trabajo de 8000 Joules sobre la caja de metal si se aplica una fuerza de 800 N desplazándola una distancia de 10 metros.
Definición de trabajoEl trabajo se define como la fuerza que se aplica sobre un cuerpo para moverlo de un punto a otro. Cuando se aplica una fuerza, se produce una transferencia de energía. Entonces se puede decir que el trabajo es energía en movimiento.
Cuando se aplica una fuerza neta al cuerpo o a un sistema y esto produce un desplazamiento, se dice que esa fuerza realiza un trabajo mecánico. Este trabajo puede ser positivo si el sistema gana energía o negativo si el sistema pierde energía.
En el Sistema Internacional de Unidades, el trabajo se mide en Joule. Joule es equivalente a Newton por metro.
Matemáticamente, el trabajo es igual al producto de la fuerza por la distancia y por el coseno del ángulo que existe entre la dirección de la fuerza y la dirección en la que viaja el punto o el objeto que se mueve:
Trabajo= fuerza× distancia× cos (ángulo)
Trabajo sobre caja de metalEn este caso, sabes que:
Fuerza= 800 NDistancia= 10 metrosÁngulo= 0 grados. El ángulo entre la fuerza y el desplazamiento es de 0 grados, debido a que la fuerza y el desplazamiento se encuentran en dirección horizontal en el mismo sentido.Reemplazando en la definición de trabajo:
Trabajo= 800 N× 10 m× cos (0)
Trabajo= 800 N× 10 m× 1
Trabajo= 8000 Joules
Finalmente, se realizará un trabajo de 8000 Joules sobre la caja de metal si se aplica una fuerza de 800 N desplazándola una distancia de 10 metros.
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Differentiate the function with respect to x. Shot steps
The given function y = sec⁻¹(x³) is differentiated as dy/dx = 3x/√(x² - 1).
What is differentiation?The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) = Lim h --> 0 (f(x + h) - f(x)) /(x + h - x).
Its geometric meaning is the slope of tangent of the function at a given point.
The given function is as below,
y = sec⁻¹(x³)
The given function is a composite function of sec⁻¹x and x³.
In order to differentiate it, first differentiate x³ and then sec⁻¹x as follows,
dx³/dx = 3x²
And, dsec⁻¹x /dx = 1/x√(x² - 1)
Now, differentiation of sec⁻¹(x³) is given as,
d sec⁻¹(x³)/dx = 3x²/(x√(x² - 1))
= 3x/√(x² - 1)
Hence, the differentiation of the given function is 3x/√(x² - 1).
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The blue dot is at what value on the number line?
?
3
1
Answer:
5
Step-by-step explanation:
count
The area of the triangle below is \frac{3}{16}
16
3
square meters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
sorry but i dont know
Step-by-step explanation:
Betsy, a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 13% per year or in a certificate of deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
$37,500 should be invested in B-rated bonds and $22,500 should be invested in a certificate of deposit in order to realize exactly $6,000 in interest per year.
The total amount to be invested is $60,000. We are given two options for investing the money.The money can be invested either in B-rated bonds, which pays 13% interest per year, or in a certificate of deposit (CD), which pays 5% interest per year.Let the amount to be invested in B-rated bonds be 'x'. The amount to be invested in a certificate of deposit equals 60,000-x. The requirement is to get an exact amount of interest that equals $6000. The total interest per year = 13% of 'x' + 5% of (60,000-x).6,000 = 13x/100 + 5(60,000-x)/100.6,00,000 = 13x + 5(60,000-x)6,00,000 = 13x + 300,000-5x6,00,000 = 8x + 300,0008x = 300,000x = 300,000/8x = 37,500Now calculate the value of 60,000-x.60,000-x = 60,000-37,50060,000-x = 22,500Thus, the amount to be invested in B-rated bonds is $37,500 and the amount to be invested in a certificate of deposit is $22,500.To learn more about interest, visit :
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Step by step solution. 9-1/2n=5+4n
Step-by-step explanation:
hope it's helps dear...
Solve system of equations for unknown variables. X-4=11
The value of x which makes the equation true is 15.
What is the system of equations?
A system of equations is a set of two or more equations that contain multiple variables. These equations are typically used to describe a real-world situation and are solved simultaneously to find the values of the variables.
To solve a system of equations for unknown variables, you can use one of several methods, such as substitution, elimination, or graphing.
To solve a system of equations such as x-4=11, you have to find the value of x which will make the equation true.
x-4=11
x=15
Hence, the value of x which makes the equation true is 15.
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help please answer the number 1 only thanyou
i will give brainliest
Answer:
\(\sin\theta=\dfrac{\sqrt{5}}{5}\)
\(\cos\theta=\dfrac{2\sqrt{5}}{5}\)
\(\tan\theta=\dfrac{1}{2}\)
\(\csc\theta=\sqrt{5}\)
\(\sec\theta=\dfrac{\sqrt{5}}{2}\)
Step-by-step explanation:
The cotangent ratio is the reciprocal of the tangent ratio.
\(\cot \theta = \dfrac{1}{\tan \theta}\)
Therefore, if cot θ = 2 then:
\(\dfrac{1}{\tan \theta}=2\)
\(\tan \theta=\dfrac{1}{2}\)
The tangent of an angle is defined as the ratio of the length of the opposite side to the length of the adjacent side in a right triangle:
\(\tan\theta = \sf \dfrac{opposite}{adjacent}\)
Therefore, the length of the side opposite angle θ is 1 and the length of the side adjacent angle θ is 2.
\(\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}\)
We can use Pythagoras Theorem to calculate the length of the hypotenuse, H:
\(1^2+2^2=H^2\)
\(1+4=H^2\)
\(H^2=5\)
\(H=\sqrt{5}\)
Therefore, the length of the hypotenuse is √5.
Now we have the lengths of the three sides of the right triangle, we can find the other trigonometric function of angle θ.
\(\boxed{\begin{minipage}{8cm}\underline{Trigonometric functions}\\\\$\sf \sin\theta=\dfrac{O}{H}\quad\cos\theta=\dfrac{A}{H}\quad\tan\theta=\dfrac{O}{A}$\\\\\\$\sf\csc\theta=\dfrac{H}{O}\quad\sec\theta=\dfrac{H}{A}\quad\cot\theta=\dfrac{A}{O}$\\\\\\where:\\\phantom{ww}$\bullet$ $\theta$ is the angle.\\\phantom{ww}$\bullet$ $\sf O$ is the side opposite the angle.\\\phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle.\\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse.\\\end{minipage}}\)
Given values:
O = 1A = 2H = √5Substitute these values into the six trigonometric functions:
\(\sin\theta=\dfrac{O}{H}=\dfrac{1}{\sqrt{5}}=\dfrac{\sqrt{5}}{5}\)
\(\cos\theta=\dfrac{A}{H}=\dfrac{2}{\sqrt{5}}=\dfrac{2\sqrt{5}}{5}\)
\(\tan\theta=\dfrac{O}{A}=\dfrac{1}{2}\)
\(\csc\theta=\dfrac{H}{O}=\dfrac{\sqrt{5}}{1}=\sqrt{5}\)
\(\sec\theta=\dfrac{H}{A}=\dfrac{\sqrt{5}}{2}\)
\(\cot\theta=\dfrac{A}{O}=\dfrac{2}{1}=2\)
Rachel’s penny bank is 1/2 full. After she adds 120 pennies, it is 7/10 full. How many pennies can Rachel’s bank hold?
Answer:
600 pennies
Step-by-step explanation:
to start you need to understand that 1/2=5/10 so if we start with the bank 5/10 full and she adds 120 pennies that goes up 2/10. so that means 1/10 of the bank holds 60 pennies. so to find the answer you need to multiply the 60 pennies by 10, because 10*60 would be equal to the entire bank.
Hello, I need help with an assignment. I don't quite understand the chart, and I'm getting confused. I lost connection earlier to.
It is given that there are a total of 101 students in grade eight.
61 students are in the band, the rest are in general music. Of the students in the band, 46 like pineapple pizza. 62 eighth-grade students like pineapple pizza.
It is required to construct a two-way table with the given information.
Since there are 101 students and 61 of them are in the band. The rest are said to be in general music.
Hence, the number of students in general music is:
\(101-61=40\)It is given that 46 students in the band like pineapple pizza. Since 61 students are in the band, the number of students in the band who don't like pineapple pizza is:
\(61-46=15\)It is given that 62 eighth-grade students like pineapple pizza. Since 46 of these are in the band, the number of students in general music who like pineapple pizza is:
\(62-46=16\)The number of students in general music is 40. Since 16 of them like pineapple pizza, the number of students who don't like pineapple pizza in general music is:
\(40-16=24\)Complete the table with the calculated results:
Calculate the totals and fill them in the table:
let n be an integer. show that if a, b are relatively prime integers, each of which divides n, then ab divides n.
\(a*b\) must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
Let n be an integer and a, b be relatively prime integers, each of which divides n. This means that a and b have no common factors other than 1. According to the Fundamental Theorem of Arithmetic, the prime factorization of n can be written as n = p1^k1 * p2^k2 * ... * pn^kn. Since a and b divide n, each of their prime factorizations must contain all of the prime factors of n, and the exponents must be less than or equal to the exponents of n. Therefore, a*b must contain all of the prime factors of n and the exponent of each factor must be less than or equal to the exponent of n. This means that a*b divides n.
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Key west,Florida to Seattle, Washington is 3,518 miles. If it takes 7hours and 15 minutes to fly there, what is the average speed ?
Answer:
485.24 miles per hour
Step-by-step explanation:
The required average speed of the flight is 485.25 miles per hour.
Given that,
Key west, Florida to Seattle, Washington is 3,518 miles. If it takes 7 hours and 15 minutes to fly there, what is the average speed is to be determined?
The average of the values is the ratio of the total sum of values to the number of values.
What is speed?Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
Total distance to fly = 3,518 miles
Total time = 7 hours 15 minutes = 7 + 15/60
= 7.25 hour
Speed = distance / time
= 3, 518 / 7.25
= 485.25 miles / hours,
Thus, the required average speed of the flight is 485.25 miles per hour.
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Jake came in second place in the long jump at his track meet. The winner jumped a distance of 29.18 feet and the person in third place jumped 28.83 feet. Which of the following can be the distance that Jake jumped?
The radius of a circle is 10 in. Find its circumference in terms of � π.
Answer:
20π [in].
Step-by-step explanation:
1. formula is:
C=π*2r;
2. the circumference according to the formula is:
C=π*10*2=20π.
15. Triangles ABC and DEF are similar.
Work out the length of BC.
Answer:
10cm
Step-by-step explanation:
Since ABC and DEF are similar, the ratio of their side is always the same.
The ratio here is:
DF/AC = 6/4 = 1.5
Therefore, it means that BC x 1.5 = EF
So:
BC x 1.5 = 15
BC = 15 / 1.5 = 10cm.
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
Ivan must choose a number between 55 and 101 that is a multiple of 4, 10, and 20. Write all the numbers that he could choose. If there is more than one number, separate them with commas.
Using the LCM, the numbers that Ivan could choose between 55 and 101 which are multiples of 4, 10, and 20 are 60, 80, and 100.
What is a multiple of numbers?A multiple of numbers is the lowest common multiple (lcm) of two or more numbers.
The LCM shows the numbers into which the given numbers can divide without a remainder. The result is always an even integer.
Between 55 and 101, we know that 4, 10, and 20 can each divide 60, 80, and 100 without leaving a remainder.
For example, when 4 divides 60, 80, and 100, we have 15, 20, and 25.
When 10 divides 60, 80, and 100, we have 6, 8, and 10.
Lastly, when 20 divides 60, 80, and 100, we have 3, 4, and 5.
Thus, Ivan can choose 60, 80, and 100, which are between 55 and 101 as the multiples of 4, 10, and 20.
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His wife makes a final test of Odysseus' identity by getting him to tell
about the building of his bed
the name or his favorite dog
about the day he went away
how he got a scar on his arm
Answer: About the building of his bed
prove or provide a counter example of the following statement: if a and b are similar matrices and v is an eigenvector of a, then v is also an eigenvector of b.
If A and B are similar matrices and v is an eigenvector of A, then v is also an eigenvector of B , similarly if u is an eigenvector of B then u is also eigenvector of A.
Suppose A and B are n×n matrices over R or C. We say A and B are similar, or that A is similar to B, if there exists a matrix P such that B =P⁻¹AP.
The eigenvalues are the roots of the
characteristic polynomial.
B =P⁻¹AP ⇔ PBP⁻¹ = A
If Av = λv , then PBP⁻¹v = λv ⇒ BP⁻¹v = P⁻¹λv
So, if v is an eigenvector of A, with eigenvalue λ, then P⁻¹v (which is non-zero since P is invertible) is an eigenvector of B with the same eigenvalue. If u is an eigenvector for B then P⁻¹v is an eigenvector for A. So, every eigenvalue of A is an eigenvalue of B and since you can interchange the roles of A and B in the previous calculations, every eigenvalue of B is an eigenvalue of A too. Hence, A and B have the same eigenvalues.
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A bakery sells vanilla cupcakes and chocolate cupcakes. It sold 276 vanilla cupcakes in a day. 8% of the cupcakes sold that day were chocolate. How many total cupcakes did the bakery sell that day?
ASSAP
Answer:
hello!!!
300 cupcakes
please read the explanation.. it always helps... trust me...
Step-by-step explanation:
alrighty here it goes...
okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....
okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.
we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.
so now we need to find out 92% of what number gets us 276.
the percentage formula (in this problem) should be as follows:
92/100 x (total amount of cupcakes) = 276
to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)
i hope this helps!!!
Answer:
300
Step-by-step explanation:
Probability of landing on even # on a spinner; probability of rolling an odd # on a die
Answer:
Spinner: 50%
Die: 50%
Step-by-step explanation:
Well for the spinner it depends on the amount of numbers it has,
in this case we’ll use 6.
So The probability of landing on the even numbers in a 6 numbered spinner.
2, 4, 6
3/6
50%
Your average die has 6 sides so the odd numbers are,
1, 3, 5
3/6
50%
Find the length of AD. Round the answer to the nearest hundredth.
A. 5
B. 5.1
C. 5.42
D. 6.23
Answer: C 5.42
Step-by-step explanation:
Without graphing, determine the number of solutions of the system. State whether the system is consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent.
Answer: I cant see the picture right. So im sorry i could not help :(
Step-by-step explanation: IM SOOO SORRY D:
When converted to a household measurement, 9 kilograms is approximately equal to a
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
explain 3 factors that should be considered in the construction of index numbers
1. selection of index number: during the construction of index number it is to be kept in mind that the selection of the index number should be correct accordingly.
2. selection of formula: while the construction of index numbers it is compulsory to select the correct formula for the given question.
3. selection of price: selection of prices should be done accordingly while constructing the index numbers.`
construction of index number is also available in two parts:
1. simple
2. weighted
1. simple: the simple method is classified into simple aggregative and simple relative.
2. weighted: the weighted method is classified into a weighted aggregative and weighted average.
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