Answers
Answer:
24
Step-by-step explanation:
\(\sqrt{x+1}=5\)
Square both sides:
\(x+1=25\)
Subtract 1 from both sides:
\(x=24\)
Hope this helps!
Answer: x = 24
Step-by-step explanation:
In order to get rid of the square root, you need to square the entire equation. this cancels the square root essntially. So now you have:
\(x+1=5^2\\x+1=25\\x=24\)
Related Questions
What is four fifths divided by two thirds?
Answers
Answer:6/5 or 1.2
Step-by-step explanation:
4/5 divided by 2/3
=4/5 *3/2
=12/10
=6/5
=1.2
Solve: (x - 10)² + 10 = 100
Square Roots and Completing the Square.
Answers
Answer:
Below
Step-by-step explanation:
(x-10)^2 = 90 sqrt both sides
x-10 = ± sqrt (90)
x = 10 ± sqrt (90)
How far up a wall will a 13-meter ladder reach, if the foot of the ladder is 6 meters away from the base of the wall?
A. 12 m
B. 4 m
C. 133 m
D. 245 m
Answers
Answer: C
Step-by-step explanation: I took the test!!
The required distance that the ladder foot away from the base of the wall is √133 meters. Option C is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as hypotenuse, perpendicular, and base is Pythagorean triplets.
Here,
Let the base length be x,
According to the question, a 13-meter ladder reach, the foot of the ladder is 6 meters.
So, applying the Pythagoras theorem,
13² = 6² + x²
x = √169 - 36
x = √133
Thus, the required distance that the ladder foot away from the base of the wall is √133 meters.
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A recipe for four people takes 300 grams of flour. How many grams of flour would be needed if the same recipe is followed to feed a. 8 people
b. .2 people
c. 20 people?
Answers
Answer:
a. 600 grams
b. 150 grams
c. 1500 grams
Jonathan calls his mother 2 times every week.
Let w represent the number of weeks and c represent the total number of times Jonathan calls his mother.
Answers
Answer:
2w=c 2 times each week so 2 times how many weeks
En el cine, el precio de admisión de un niño es de 6 dólares y de un adulto es de 9,20 dólares . El sábado se vendieron 146 boletos de admisión para un total de ventas de 1135,20 dólares . ¿Cuántos boletos de admisión de niños se vendieron ese día?
Answers
Answer:
65 boletos.
Step-by-step explanation:
Antes de resolverSabemos que el precio para un niño es 6 dólares, y el precio para un adulto es 9,20 dólares. Además, el cine se vendió 146 boletos, y recibió 1135,20 dólares.
El procesoVamos a resolver este problema con un sistema, usando 2 varibles.
No sabemos cuantos boletos de niño el cine vendió, entonces el cine vendió <<x>> boletos de niños. Tampoco sabemos cuantos boletos de adultos vendió, entonces vendió <<y>> boletos de adultos.
En total, vendió 146 boletos; el número de los boletos de niños con el número de los boletos de adultos es 146 boletos.
Usando las variables, x + y = 146 boletos.
Esta es una de las equaciones que necesitamos.
Porque todos los boletos de niños es 6 dólares, si el cine vendió <<x>> boletos, su total de ventas (de boletos de niños) es <<6x>> dólares.
Lo mismo es verdad para los boletos de adultos; todos los boletos de adultos es 9,20 dólares, entonces si vendió <<y>> boletos, el total de ventas de boletos de adultos es <<9,20y>> dólares.
En total, las ventas de los boletos de niños + las ventas de los boletos de adultos es 1135,20 dólares.
O, con variables, es 6x + 9,20y = 1135,20
Nuestra sistema es:
x + y = 146
6x + 9,20y = 1135,20
Ahora necesitamos resolver esta sistema.
Podemos usar la sustitución. Vamos a resolver una de las eqaciones para una variable, y después, usar el valor de esa variable para encontrar la solución para una de las variables, y después, usar esa solución para encontrar la solución de la otra variable.
Podemos mover <<y>> al otro lado.
x + y = 146 => x = 146 - y
Ahora, podemos sustituir <<x>> para 146 - y en 6x + 9,20y = 1135,20
6(146-y) + 9,20y = 1135,20
Multiplica.
876 - 6y + 9,20y = 1135,20
Combina los términos que son los mismos.
876 + 3,20y = 1135,20
Mueva 876 al otro lado.
876 + 3,20y = 1135,20 => 3,20y = 259,20
Divide todo por 3,20.
3,20y/ 3,20 = 259,20/ 3,20
y = 81
Entonces, el cine vendió 81 boletos de adultos.
La respuestaRecuerda, esta (81 boletos de adultos) no es lo que necesitamos. Necesitamos cuantos boletos de niños vendió.
Entonces, podemos substituir <<y>> con 81 en x = 146 - y. Recuerda que <<x>> es cuantos boletos de niños vendió.
x = 146 - y => x = 146 - 81 => 65
Entonces, el cine vendió 65 boletos de niños.
Match each function with the correct translation of the parent function f(x) = x.
160=1x1-4
f(x) = (x+4)
fx)=p+4
0
00
vertical translation down 4 units
horizontal translation right 4 units
horizontal translation left 4 units
vertical translation up 4 units
Answers
It is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in
the graph intersecting the x- or y-axis at a different point.
Function is an operation that takes an input, performs some processing on it, and returns a result. It is a set of instructions that performs a specific task. Functions are typically used to perform repetitive tasks, like finding the sum of two numbers, adding two strings together, or finding the maximum of a list of numbers. Functions are essential to programming and can be used to make code more organized, reusable, and efficient.
The function f(x) = x is the parent function for linear equations. This equation is generally used to graph a line with a slope of 1 and a y-intercept of (0, 0). In order to translate this parent function, different transformations are applied to it.
A vertical translation down 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function down 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, -4).
A horizontal translation right 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function right 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (4, 0).
A horizontal translation left 4 units would be represented by the equation f(x) = x - 4. This transformation would shift the graph of the parent function left 4 units on the x-axis. This would result in the graph intersecting the x-axis at the point (-4, 0).
Finally, a vertical translation up 4 units would be represented by the equation f(x) = x + 4. This transformation would shift the graph of the parent function up 4 units on the y-axis. This would result in the graph intersecting the y-axis at the point (0, 4).
In conclusion, it is possible to translate the parent function f(x) = x using various transformations including vertical and horizontal translations. Each transformation will result in the graph intersecting the x- or y-axis at a different point.
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which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)
Answers
The solution of the trigonometric equation are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)
Trigonometric equation:
Given equation are,
\(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\)
We know that, \(cos(A-B)=cosA cosB+sinAsinB\)
\(cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}\)
Hence, The solution of the trigonometric equation are, \(x=\frac{\pi}{2},\frac{3\pi}{2}\)
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FAST PLEASE Solve using Cosine with steps
Answers
\(\cos(A )=\cfrac{\stackrel{adjacent}{47}}{\underset{hypotenuse}{61}} \implies \cos^{-1}(~~\cos( A )~~) =\cos^{-1}\left( \cfrac{47}{61} \right) \\\\\\ A =\cos^{-1}\left( \cfrac{47}{61} \right)\implies A \approx 39.60^o\)
Make sure your calculator is in Degree mode.
Find the exact surface area of a sphere with a diameter of 13cm
Answers
Answer:
A = 530.929158457
Answer:
Area = 706.8583471
Explanation:
The used law to measure the surface area of the sphere is
\(area \: = 4\pi \: {r}^{2} \)
Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:
\(4\pi \: {7.5}^{2} = 706.8583471\)
If you like my explanation please give me 5 stars.Suppose you have 11 tubes of paint. How many distinct color groupings can you make with your paint?
Answers
The number of distinct color groupings is given as follows:
39,916,800.
What is the arrangements formula?The number of possible arrangements of n elements(order n elements) is given by the factorial of n, that is:
\(A_n = n!\)
For this problem, we have that there are 11 tubes of paint, hence the parameter n is given as follows:
n = 11.
Meaning that the number of distinct color groupings is given as follows:
n = 11! = 1139,916,800.
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9dx10=240 pls hurry
Answers
Answer:
2.6 or \(\frac{8}{3}\)
Step-by-step explanation:
9d×10=240
÷10 ÷10
9d =24
÷9 ÷9
2.6 or \(\frac{8}{3}\)
You deposit $6000 into an account that earns simple interest at an annual rate of 5%. How much interest does the account earn after 3 months?
Answers
The interest earned after 3 months is $75
What is simple interest?
The simple interest on a deposit is the principal deposited multiplied by the interest and the time the deposit lasted
I=PRT
I=interest=unknown
P=principal=$6000
R=interest rate=5%
T= 3 months=0.25 year
I=$6000*5%*0.25
I=$75
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Answer:
75 dollars
Step-by-step explanation:
i got it right
a) (10 pts) Re-express the given differential equation as a first order differential equation by utilizing matrix
and vector notation and in accordance with ()
= () form.
b) (10 pts) Is the system obtained in (a) stable, neutrally stable of unstable? Determine this using matrix.
c) (10 pts) Compute the eigenvalues and eigenvectors of matrix.
d) (10 pts) Using the results computed in (c) find and matrices and show that =
−
relationship
(i.e., the diagonalization relationship) is a valid relationship.
Answers
a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:
\(x' = Ax\)
where x is a vector and A is a square matrix.
b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.
If all eigenvalues have negative real parts, the system is stable.
If at least one eigenvalue has a zero real part, the system is neutrally stable.
If at least one eigenvalue has a positive real part, the system is unstable.
c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation
\(det(A - \lambda I) = 0\),
where λ is the eigenvalue and I is the identity matrix.
By solving this equation, we obtain the eigenvalues.
Substituting each eigenvalue into the equation
\((A - \lambda I)v = 0\),
where v is the eigenvector, we can solve for the eigenvectors.
d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:
\(A = PDP^{(-1)}\)
where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.
To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.
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I need help for math plz :(
Answers
Answer:
Option D
Step-by-step explanation:
Set of data in terms of ordered pairs represents a function when output value of each input value is different.
Option A
Since, for every value of x there is a different value of y, it's a function.
Option B
In each ordered pair, for every value of x there is a different value of y.
Therefore, it's a function.
Option C
From the given graph, for every value of x there is a different value of y.
Therefore, it's a function.
Option D
From the given set of ordered pairs we find for x = 1 there are two values of y (y = 4 and 3).
Therefore, the given set of ordered pairs doesn't represent a function.
Option D is the answer.
percent change of 14 books to 40 books
Answers
Answer:
185.714285714%
A change from 14 to 40 represents a positive change (increase) of 185.71428571428572%
A school class of 120 students is driven in 3 buses to a symphonic performance. There are 36 students in one of the buses, 40 in another, and 44 in the third bus. When the buses arrive, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of that randomly chosen student, find E(X).
Answers
Answer:
40.2667
Step-by-step explanation:
P(X=36)= 36/120
P(X=40)= 40/120
P(X=44)=44/120
E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667
hope this helps
If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A school class of 120 students is driven in 3 buses to a symphonic performance.
There are 36 students on one of the buses, 40 on another, and 44 on the third bus.
From the data given:
Let X be the total number of passengers on the bus carrying that randomly selected student,
Total number of students = 120
Let:
Probability:
P(X = 36) = 36/120
Probability:
P(X = 40)= 40/120
Probability:
P(X = 44)=44/120
E(X) = 36(36/120) + 40(40/120) + 44(44/120)
E(X) = 1208/30
E(X) = 40.26
Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
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Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.
What is the exact value of cos(α+β)?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
[-5/13] 3/5 +12+13 [-4/5 = - 63/65
math, pls help, will mark brainlest
Answers
Answer:
Step-by-step explanation:
3x + 3x equals 11x
the ratio of boys to girls in the park was 4 to 5 .if 270 children were in the park.How many girl?
Answers
Answer:
150 are girls.
Step-by-step explanation:
There is an important difference between the way counts are viewed in ratio to that in fractions.
The ratio of boys : girls
4:5
so you have 4 boys and 5 girls making the whole count in its simplest form.
4+5=9
So to change the ratio proportion into fraction proportion we have:
Boys: 4/9
Girls: 5/9
It is given that the whole is 270 therefore the count of girls is:
5/9 x 270 = 150
Bailey Checks her time records to see how fast she runs each day. On Tuesday, She Ran 3 3/4 Miles. On Friday, she ran 7 2/8 miles. How many more Miles did she run on Friday than Tuesday?
Answers
Step-by-step explanation:
I guess, she is checking how FAR she runs each day (and not how fast ...).
how many more miles did she run on Friday ?
we get this by calculating the difference between the 2 values. that is what subtraction is for.
7 2/8 - 3 3/4
as long as we have the numbers as combination of full and fraction numbers, we can subtract the full numbers right away.
7 2/8 - 3 3/4 = 4 2/8 - 3/4
now we convert both numbers to full fractions :
4 2/8 - 3/4 = (32 + 2)/8 - 3/4 = 34/8 - 3/4
and then we bring both fractions to the same denominator, in this case 1/8 :
34/8 - 3/4 = 34/8 - 3/4×2/2 = 34/8 - 6/8 = 28/8
now we can simplify
28/8 = 7/2 = 3 1/2
so, she ran 3 1/2 miles more in Friday than on Tuesday.
FYI
I just wanted to show you the full formal flow of such a calculation.
but we could have gotten the result quicker by recognizing that we can simplify the numbers already at the beginning :
7 2/8 - 3 3/4 = 7 1/4 - 3 3/4 = 4 1/4 - 3/4 = 3 2/4 = 3 1/2
Stephanie had 7/8 pound of birdseed she use 3/8 pound to fill the birdfeeder how much birdseed to Stephanie have left?
Answers
Answer:
4/8 or 1/2
Step-by-step explanation:
7/8-3/8= 4/8 or 1/2
Answer:
Stephanie has \(\frac{1}{2}\) a pound of birdseed left.
Step-by-step explanation:
\(\frac{7}{8}\) - \(\frac{3}{8}\)
= \(\frac{4}{8}\)
= \(\frac{1}{2}\)
what is the closest estimate of x where f(x) = g(x)?
Answers
x≈1.6
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
Answers
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
The graph below shows the relationship between the amount of time in seconds to the distance traveled in feet by a cheetah
Answers
Answer:
where's the graph?
Step-by-step explanation:
hehehehe
What is the perimeter of the triangle?
A. 18.3 units
B 9 units
C 15.5 units
D 18.2 units
Answers
Answer:
answer is B, 9 units
Step-by-step explanation:
Answer:
C) 15.5 units
Step-by-step explanation:
look at the screenshot x
Answers
Answer:
31.01
Step-by-step explanation:
A= πr^2= π · 3.142 ≈31.01432
What is -20/2(7 2/3)
Answers
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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fnd the highest common factor of -8xy and 20y
Answers
Answer:
\(\huge\boxed{\boxed{2}\cdot\boxed{2}\cdot\boxed{y}=4y}\)
Step-by-step explanation:
\(-8y=-2\cdot\boxed{2}\cdot\boxed{2}\cdot \boxed{y}\\\\20y=\boxed{2}\cdot\boxed{2}\cdot5\cdot\boxed{y}\)
Which of the following functions has an initial value of 0 and a rate of change of 3?
Answers
The following function has an initial value of 0 and a rate of change of 3 will be y = 3x and it is shown in option (D) hence option (D) will be the correct answer.
How to graph a function?Drawing the graph of the appropriate function is the process of graphing a function.
Graphing simple functions like linear, quadratic, etc. is fairly easy, complex functions like rational, exponential, etc. require some skill and comprehension of certain mathematical thinking.
In other words graph of a function is a grammatical representation in the coordinate geometry.
Given that the function has a rate of change as 3
We know the rate of change is nothing but derivative so
dy\dx = 3
dy = 3dx
by integration
y = 3x + c now given that the initial value is zero so by putting x and y as 0.
c = 0
So the function is y = 3x so it is That the option (D) has the same behavior.
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