Answers
Answer:
(2,6)
Step-by-step explanation:
The solution to a linear system is the point of intersection. In this case, the point of intersection is (2,6) which means (2,6) is the solution to the linear system.
Related Questions
(1) A pizza restaurant had 3/5 of a gallon of pizza sauce left at the end of the evening and
divided it equally among 6 pizzas. How much sauce did they put on each pizza?
Answers
Answer:
The pizza restaurant put 1/10 of the sauce on each pizza.
Step-by-step explanation:
Take the 3/5, and on a calculator divide the 3 by the 5:
0.6
Then, take the 0.6 and divide it by the 6 pizzas:
0.1, converted into a fraction equals 1/10.
The pizza restaurant put 1/10 of the sauce on each pizza.
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PLEASE HELP I WILL GIVE BRAINLIEST ITS URGENT!
In a right triangle ΔABC, the length of leg AC = 5 ft and the hypotenuse AB = 13 ft. Find:
The length of the angle bisector of angle A
Answers
Answer:
∠A is (5/3)√13
Step-by-step explanation:
The cosine of ∠A is \(\frac{AC}{AB}\) = \(\frac{5}{13}\)
The cosine of half of ∠A is given by the half-angle formula:
cos(A/2) = √((1 +cos(A))/2) = √((1 + 5/13)/2) = √(9/13) = 3/√13
The length of the segment b is found from ...
cos(A/2) = 5/b [adjacent side/hypotenuse]
∠ A = 5/cos(A/2) = 5/(3/√13)
∠ A = (5/3)√13
If Needed in decimal form : 6.01
[RevyBreeze]
what is 2 7/8 x 2/3
Answers
Answer:
2.25
Step-by-step explanation:
Need help with a and b parts
Answers
Answer:
a) 10/27 or 0.37037
b) -8/7
Step-by-step explanation:
a) Enter x=-5 into both equations and divide h(-5)/g(-5). That yields 10/27 or 0.37037037037 . . .
b) g(x) cannot be 0 (can't divide by 0. That would occur if x = -8/7, so it (-8/7) is not in the domain.
In high school X, approximately 9 percent of the students saw a certain movie on opening night. From a random sample of 200 students from high school Y, 22 saw the movie on opening night. Consider a hypothesis test to investigate whether the proportion of all students in high school Y who saw the movie on opening night is greater than that of high school X. Which of the following is the standard deviation used to calculate the test statistic for the one-sample z-test?
a. √(11(89)/200)
b. √(09(91)/200)
c. √(22(78)/200)
d. √(22(78)/200)
Answers
The standard deviation used to calculate the test statistic for the one-sample z-test is option c, i.e. √(22(78)/200).
Let’s take p as the proportion of students from high school Y who watched the movie on opening night.
Then the sample proportion, ˆp = 22/200 = 0.11
We need to find out whether the proportion of all students in high school Y who saw the movie on opening night is greater than that of high school X. The sample proportion for high school X is 0.09.
We can use a one-sample z-test with the following hypotheses.
H₀: p ≤ 0.09
Hₐ: p > 0.09
The null hypothesis represents the assumption that the proportion of students in high school Y who watched the movie on opening night is less than or equal to that of high school X.
The alternative hypothesis represents the assumption that the proportion of students in high school Y who watched the movie on opening night is greater than that of high school X.We calculate the test statistic, z, as follows:
z = (ˆp - p₀) / σ
Where p₀ = 0.09 and σ is the standard deviation of the sample proportion.
We know that
σ = √[(p₀(1 - p₀)) / n]
Where n = 200.
σ = √[(0.09 x 0.91) / 200]
σ = 0.0274
Therefore,
z = (0.11 - 0.09) / 0.0274 = 0.7299
The p-value for this test is P(Z > 0.7299) = 0.2333
At the 5% level of significance, we fail to reject the null hypothesis since the p-value is greater than 0.05. Thus, we do not have sufficient evidence to conclude that the proportion of all students in high school Y who saw the movie on opening night is greater than that of high school X.
Hence option c is correct.
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A residual is the difference between _______.
Answers
A residual is the difference between "the measured and predicted values of the quantity of interest".
What is residuals?In regression analysis, a residual would be the difference between an observable and anticipated value.
The formula is;
Residual = Observed value – Predicted value
Some key features regarding the residuals are-
The purpose of linear regression would be to quantify the relationship among one or so more predictor variables one and or more response variables. Linear regression selects the line that best "fits" the data, defined as least squares regression line, to do this. This line generates a prediction for every observation in the dataset, however it is improbable that the regression line's prediction would perfectly match its observed value.The residual is the discrepancy between the predicted and the observed value. The residuals for every observation would represent the vertical distance between both the observation as well as the regression line if we plotted the observed values then overlaid the fitted regression line.To know more about the residual, here
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are 5(8y - 8) and 40y - 40 equal?
Answers
Answer:
yes
Step-by-step explanation:
5(8y-8) = 5*8y - 5*8 by distributive property. simplify that, you get 40y-40, which is equal to 40y-40.
I hope this helped, please give brainliest if this is correct! Thank you!
Need help, Solve for X
Answers
the whole circle is 360 so 360-33=327
327/6=54.5.
take all of those and replace “x” with 54.5. you get 6*54.5+33 which equals 360
I run 10 around the track each day. Each lap around the track is 400 meters. How many days will it take me to run a total of 12 kilometers?
Answers
It will take you 30 days to run a total of 12 kilometers.
The popular distance calculator calculates distances in kilometres between any locations and coordinates, providing route planners
To calculate the number of days it will take you to run a total of 12 kilometers, we need to convert kilometers to meters and then divide it by the distance you run each day.
1 kilometer = 1000 meters
So, 12 kilometers is equal to 12 * 1000 = 12000 meters.
Since you run 400 meters each day, we can divide the total distance by the distance you run each day to find the number of days:
12000 meters / 400 meters per day = 30 days
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Suppose you deposit $2,000 in a savings account that pays interest at an annual rate of 5%. If no money is added or withdrawn from the account, answer the
following questions. How much will be in the account after 3 years
Answers
Answer:
2300
Step-by-step explanation:
multiply 2,000 by 15% and add it to 2,000
Discuss the following code:
The following code should output the radius of the base, height,
volume, and surface area of a cylinder (A = 2 πrh + 2
πr2). However, it fails to do so. Correct and disc
Answers
The code does not take input for the radius and height of the cylinder. We need to add input() statements to prompt the user for these values.
The given code calculates the radius of the base, height, volume, and surface area of a cylinder. However, there are issues with the code that need to be addressed. Let's discuss and correct the code:
import math
def calculate_cylinder_properties(radius, height):
base_area = math.pi * radius ** 2
volume = base_area * height
surface_area = 2 * math.pi * radius * height + 2 * math.pi * radius ** 2
return radius, height, volume, surface_area
# Test the function
radius = float(input("Enter the radius of the cylinder: "))
height = float(input("Enter the height of the cylinder: "))
result = calculate_cylinder_properties(radius, height)
print("Radius of the base:", result[0])
print("Height:", result[1])
print("Volume:", result[2])
print("Surface Area:", result[3])
Issues with the code: The code does not take input for the radius and height of the cylinder. We need to add input() statements to prompt the user for these values. The formula to calculate the surface area of a cylinder is incorrect. It should be A = 2πrh + 2πr^2. We need to update the calculation of surface_area accordingly.
The code does not import the math module, which is required for mathematical calculations involving π and exponentiation. We need to add the import math statement at the beginning of the code. By addressing these issues, the corrected code will accurately calculate and display the radius of the base, height, volume, and surface area of a cylinder.
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If five shirts cost $106.25, what is the cost of two shirts?
a
$42.50
b
$63.75
c
$85
d
$40
Answers
Divide 106.25 by 5 (which is 21.25) then multiply 21.25 by 2.
¿Cuál de las siguientes interpretaciones de la expresión
4−(−3) es correcta?
Escoge 1 respuesta:
(Elección A) Comienza en el 4 en la recta numérica y muévete
3 unidades a la izquierda.
(Elección B) Comienza en el 4 en la recta numérica y mueve 3 unidades a la derecha
(Elección C) Comienza en el -3 en la recta numérica y muévete 4 unidades a la izquierda
(Elección D) Comienza en el -3 en la recta numérica y muévete 4 unidades a la derecha
Answers
La interpretación correcta de la expresión 4 - (-3) es la opción (Elección D): "Comienza en el -3 en la recta numérica y muévete 4 unidades a la derecha".
Para entender por qué esta interpretación es correcta, debemos considerar el significado de los números negativos y el concepto de resta. En la expresión 4 - (-3), el primer número, 4, representa una posición en la recta numérica. Al restar un número negativo, como -3, estamos esencialmente sumando su valor absoluto al número positivo.
El número -3 representa una posición a la izquierda del cero en la recta numérica. Al restar -3 a 4, estamos sumando 3 unidades positivas al número 4, lo que nos lleva a la posición 7 en la recta numérica. Esto implica moverse hacia la derecha desde el punto de partida en el -3.
Por lo tanto, la opción (Elección D) es la correcta, ya que comienza en el -3 en la recta numérica y se mueve 4 unidades a la derecha para llegar al resultado final de 7.
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Bouncing Ball
A tennis ball was dropped from a certain height. It bounced several
times, rolled along for a short period, and then stopped. Function H
gives its height over time.
Here is a partial graph of H. Height is measured in feet. Time is
measured in seconds.
Use the graph to help you answer the questions. Be prepared to
explain what each value or set of values means in this situation.
Answers
Answer:
Step-by-step explanation:
1) = (0,6)
2) = 0
3) = (0,3.75)
4) = (0,6)
I rushed so I may be incorrect, I think I'm correct though
Step-by-step explanation:
According to graph, the answers are:
(1) H(0) = 6
(2) H(x) = 0, there are 5 points:
(0.5, 0), (1.5, 0), (2.25, 0), (3, 0), (3.75, 0)(3) The domain is:
x = [0, 3.75](4) The range is:
H = [0, 6]given 2 vectors a=3i+4j-4k and b=-2i-6j+2k, the value of |a+b| (magnitude of their sum) is Sqrt (7) Sqrt (10) Sqrt (8) Sqrt (9) Sqrt (11)
Answers
Thus, the magnitude of value of |a+b| is Sqrt (9), which simplifies to just 3.
To find the magnitude of the sum of two vectors, we need to add the two vectors together and then take the square root of the sum of their squares.
So, let's first add the two vectors together:
a+b = (3i+4j-4k) + (-2i-6j+2k)
= i - 2j - 2k
Now, we can find the magnitude of this vector by squaring each of its components, summing them, and then taking the square root:
|a+b| = sqrt((1^2) + (-2^2) + (-2^2))
= sqrt(1 + 4 + 4)
= sqrt(9)
= 3
Therefore, the value of |a+b| is Sqrt (9), which simplifies to just 3.
In summary, the magnitude of the sum of two vectors can be found by adding the vectors together, squaring each of their components, summing them, and then taking the square root.
For the given vectors a=3i+4j-4k and b=-2i-6j+2k, their sum is i - 2j - 2k, and the magnitude of this vector is 3.
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There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?
Answers
Answer:
46 total
Step-by-step explanation:
32 on large bus
30% on small bus
32 =70%
100%=32/70 x(100)=46
Select the correct answer. rational functions v and w both have a point of discontinuity at x = 7. which equation could represent function w? a. w(x) = v(x − 7) b. w(x) = v(x 7) c. w(x) = v(x − 7) 7 d. w(x) = v(x) 7
Answers
The following equation could be used to represent a function w:
= w(x)=v(x-7)+7
According to the information provided,
The point of discontinuity of rational functions is at x=7.
When a rational function has a point of discontinuity, it generally occurs when,
q(x) = r(x-a), where x = a
In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)
If we know that a=7 and k=7.
The equation which can represent w is as follows,
w(x) = v ( x-7 ) + 7
A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.
Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.
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find the inverse of the following function f(x)=5 the square root of x/5
Answers
The given function is f(x) = (5√x)/5. To find its inverse, we need to interchange x and y and solve for y. The inverse function is g(x) = (x^2)/25.
The given function is f(x) = (5√x)/5.
To find the inverse of this function, we interchange x and y and solve for y.
So, we have x = (5√y)/5.
First, we can simplify the equation by canceling out the common factor of 5:
x = √y.
To isolate y, we square both sides of the equation:
x^2 = y.
Therefore, the inverse function of f(x) = (5√x)/5 is g(x) = x^2/25.
To confirm that g(x) is indeed the inverse function, we can compose the functions f(g(x)) and g(f(x)) and check if they give us x:
f(g(x)) = f(x^2/25) = (5√(x^2/25))/5 = (5(x/5))/5 = x.
g(f(x)) = g((5√x)/5) = ((5√x)/5)^2/25 = (5√x)^2/25 = (25x)/25 = x.
Both compositions result in x, which verifies that g(x) = x^2/25 is the inverse function of f(x) = (5√x)/5.
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solve the equation √(x-4)^2=4-x
Answers
Answer:
To solve this equation, we will first simplify the left-hand side using the fact that the square root of a number squared is equal to the absolute value of that number.
So, we have:
| x - 4 | = 4 - x
We can now split this equation into two cases, depending on whether x - 4 is positive or negative:
Case 1: x - 4 ≥ 0
In this case, | x - 4 | = x - 4, so we have:
x - 4 = 4 - x
Simplifying this equation, we get:
2x = 8
x = 4
However, we must check this solution to make sure it satisfies the original equation. Plugging x = 4 back into the original equation, we get:
√(4 - 4)^2 = 4 - 4
√0 = 0
So, x = 4 is a valid solution.
Case 2: x - 4 < 0
In this case, | x - 4 | = -(x - 4), so we have:
-(x - 4) = 4 - x
Simplifying this equation, we get:
-2x + 8 = 4
-2x = -4
x = 2
Again, we must check this solution to make sure it satisfies the original equation. Plugging x = 2 back into the original equation, we get:
√(2 - 4)^2 = 4 - 2
√4 = 2
This is a valid solution.
Therefore, the equation has two solutions: x = 4 and x = 2.
Answer: Bro x = 4
Step-by-step explanation:
56 divided by 9,072 long form
Answers
Answer:
0.0061728395
Step-by-step explanation:
BOOM
100 POINTS AND BRAINLIEST!!! please help!! just explaining how to do it would be awesome too!
Answers
Answer:
the translated point A' has coordinates (1,9).
Explanation:
To translate the point A(2,7) by the rule (x,y) → (x-1, y+2), we can apply the rule to the x-coordinate and the y-coordinate separately. Subtracting 1 from the x-coordinate and adding 2 to the y-coordinate will give us the new coordinates of the translated point.
Using this rule, we have: A'(x,y) = (2-1, 7+2) = (1, 9)
Therefore, the translated point A' has coordinates (1,9).
To get the answer, we applied the given rule to the x and y coordinates of the point, separately. In other words, we substituted x = 2 and y = 7 into the expressions x-1 and y+2, respectively, to obtain the new x-coordinate and the new y-coordinate.
So, the sophisticated answer is that to translate a point by a given rule, you apply the rule to each coordinate separately, and then combine the results to form the coordinates of the translated point.
Answer:
Point A' has coordinates (1,9).
Step-by-step explanation:
I did the test
Hope this helps :)
Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answers
Answer:
\( \sf \: a) \: 27 = 9p \: ; p = 3\)
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
PLEASE HELP ME !!!!!!!!!
Answers
Answer:
Trapezoid graph
Step-by-step explanation:
Domain: Same as the plot
Domain shape: trapezoid
Range in (x, y) = (2, 7), (3, 13)
I hope this helps you :)
A garden table and a bench cost $783 combined. The garden table costs $83 more than the bench. What is the cost of the bench?
Answers
Answer:
$557.5
Step-by-step explanation:
783/2
391.5 + 83 (more) =
557.5
help pls
6x + 3 - 6x = 3
Isolate the variable. What do you notice with your solution? What is the correct solution that will make this equation true?
Answers
Answer:
Step-by-step explanation:
6x+3 -6x =3
6x-6x= 3-3
0 = 0
Answer:
Step-by-step explanation:
6x+3 -6x =3
6x-6x= 3-3
0 = 0
Solve. 3.8 ≥ b + 4
A. b ≤ –0.2
B. b ≤ 0.2
C. b ≤ 7.8
D. b ≤ 1.8
Answers
and if you add 4 to -0.2 it will equal 3.8
Answer:
hi
Step-by-step explanation:
c?
Drag each tile to the correct location on the algebraic problem. Not all tiles will be used. Fill in the missing steps and justifications used to solve the given equation.
Answers
RIGHT SIDE
3: Simplification
4: Subtraction property of equality
LEFT SIDE
4: 6x -7 + 7 = 12 + 7
7: x=19/6
Hope this helped!
<!> Brainliest is appreciated! <!>
Simplification
\(6x-7+7=12+7\), addition property of equality
\(x =\frac{19}{6}\)
According to the given question.
We have a equation
\(4x-7=-2x+12\)
The following steps which are required to solve the above equation are
Step 1:
\(4x - 7 = -2x + 12\) (given)
Step 2:
\(4x - 7+ 2x = -2x + 12 + 2x\) (addition property of equality)
Step 3:
\(4x - 7 + 2x = -2x +12+2x\\\implies 6x-7 = 12\) (simplification)
Step 4:
\(6x -7 + 7 = 12 +7\) (addition property of equality)
Step 5:
\(\implies 6x = 19\) (simplification)
Step 6:
\(\frac{6x}{6} =\frac{19}{6}\) ( division property of equality)
Step 7:
\(x = \frac{19}{6}\) (simplification)
Hence, the value of x in \(4x-7 = -2x + 12\) is \(\frac{19}{6}\).
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PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answers
Answer
bruh where's the explanation
Step-by-step explanation:
math su.cks......................................................................................................................................................................................................................... on suc.kers! i like bad jokes.
Answers
Answer:
Step-by-step explanation:
Ok
Answer:
what
Step-by-step explanation:
:(
integral inside of x^2 y^2 z^2 = 9 outside of x^2 y^2 =1
Answers
To solve this problem, we need to find the limits of integration for x, y, and z based on the given equations.
From the equation x^2 y^2 = 1, we can rewrite it as y^2 = 1/x^2, which gives us the limits of integration for y as y = -1/x and y = 1/x.
From the equation x^2 y^2 z^2 = 9, we can rewrite it as z^2 = 9/(x^2 y^2), which gives us the limits of integration for z as z = -3/xy and z = 3/xy.
For x, we need to find the limits of integration by looking at the region of interest. We can see that we are interested in the region outside of x^2 y^2 = 1, which means that the limits of integration for x are from -∞ to -1 and from 1 to ∞.
Putting it all together, the triple integral to find the volume inside of x^2 y^2 z^2 = 9 outside of x^2 y^2 = 1 is:
∫∫∫ (x^2 y^2 z^2) dV
where the limits of integration are:
-∞ < x < -1, -1/x < y < 1/x, -3/xy < z < 3/xy
and
1 < x < ∞, -1/x < y < 1/x, -3/xy < z < 3/xy
We can simplify the integrand by substituting z^2 = 9/(x^2 y^2) and get:
∫∫∫ 9 dV / (x^4 y^4)
The limits of integration remain the same. Now we need to evaluate the triple integral, which can be quite challenging. However, we notice that the integrand is symmetric with respect to x and y, so we can simplify the problem by only integrating over the first quadrant and then multiplying the result by 4.
Therefore, we have:
4 * ∫[0,∞) ∫[0,1/x] ∫[-3/xy,3/xy] 9 dV / (x^4 y^4) dy dz dx
Using the substitution u = 1/x^2, we can simplify the limits of integration and get:
4 * ∫[0,1] ∫[u,∞) ∫[-3/(sqrt(u) y),3/(sqrt(u) y)] 9 dV / u^(3/2) dy dz du
This integral can now be evaluated using standard techniques of integration. The final result is:
16/3 * ∫[0,1] u^(-3/2) du = 16/3
Therefore, the volume inside of x^2 y^2 z^2 = 9 outside of x^2 y^2 = 1 is 16/3.
To find the foci of the ellipse, we first need to find the center. From the equation (x-2)^2/32 + (y-3)^2/22 = 1, we can see that the center is at (2,3).
The distance from the center to each focus is given by c = sqrt(a^2 - b^2), where a and b are the lengths of the semi-major and semi-minor axes, respectively. In this case, a^2 = 32 and b^2 = 22, so c = sqrt(32 - 2) = sqrt(
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