Answer:
2^10
Step-by-step explanation:
multiply the exponents
Well someone help me with this please
Answer:
Step-by-step explanation:
9/13 = h/10
Cross multiply
90=13h
Divide by 13
H = 6.92
our strategy is to separate the variables, so that all x-terms are on one side of the equation, and all y-terms are on the other. we also avoid positioning dy or dx in a denominator. with that in mind, we can rewrite the original equation as 1 y dy = $$ correct: your answer is correct. x/(x^2 + 78) dx. part 2 of 6 we now integrate each side of the differential equation. ignoring the constant of integration, we can integrate the left hand side of the equation to obtain
Taking the square root of both sides, we get: y = ±sqrt(C)(x^2 + 78). This is the final solution to the differential equation. Note that we have included a constant of integration, which could take on any value and would affect the specific solution to the equation.
In this problem, we are given an equation that needs to be separated into variables, with x-terms on one side and y-terms on the other. We also need to avoid placing dy or dx in a denominator. Following this strategy, we can rewrite the original equation as:
y dy = x/(x^2 + 78) dx
Next, we need to integrate each side of the differential equation. Ignoring the constant of integration, we can integrate the left-hand side of the equation as follows:
∫ y dy = 1/2 y^2
To integrate the right-hand side of the equation, we can use the substitution u = x^2 + 78, which gives us du/dx = 2x and dx = du/2x. Substituting this back into the original equation, we get:
∫ x/(x^2 + 78) dx = ∫ 1/u du
The integral of 1/u is ln|u| + C, where C is the constant of integration. Substituting back for u, we get:
∫ x/(x^2 + 78) dx = ln|x^2 + 78|/2 + C
Putting this all together, we get:
1/2 y^2 = ln|x^2 + 78|/2 + C
Multiplying both sides by 2 and exponentiating, we get:
y^2 = Ce^(2ln|x^2 + 78|)
Simplifying this expression, we get:
y^2 = C(x^2 + 78)^2
Taking the square root of both sides, we get:
y = ±sqrt(C)(x^2 + 78)
This is the final solution to the differential equation. Note that we have included a constant of integration, which could take on any value and would affect the specific solution to the equation.
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URGENT! BRAINIEST!!! 40 points!!! what is the measure of Z? 3 27 z y x
Answer: \(3\sqrt{10}\)
Step-by-step explanation:
By the geometric mean theorem,
\(\frac{y}{3}=\frac{27}{y}\\y^{2}=81\\y=9\)
So, by the Pythagorean theorem,
\(3^{2}+9^{2}=z^{2}\\90=z^{2}\\z=\boxed{3\sqrt{10}}\)
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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I NEED HELP PLEASE
If given the following Graph; Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly budget. Andre divided his income into five categories and created the following circle graph to represent the budget he created for himself.
100% is equal to the total earnings in a month which is $4000.So 33% is the rent so you say:
If 100%=4000
33%=?
[(33×4000)÷100]=$ 1320
help meeeeeeeeeeeeeeeeeeee
Answer:
3/5 carrot juice for 1 cup apple juice and 2 cups of fruit juice
Have a great day
solve x^3 = 1/8 please i’m dumb and don’t know
Answer:
1/2
Step-by-step explanation:
Cube root of .125 which is 1/8 is 1/2
Six people went out to dinner and split the dinner bill evenly. If the dinner bill came
to $172.74, how much did each person pay?
$28.79
You divide the bill by the number of people present
ur welcome bro :)
Answer:
The answer is $28.79
Sorry, my other answer was deleted, but here you go!
The diagram shows a Convex Polygon, what is the value of A?
Answer:
I think it's 40 hopes this help
The value of angle 'a' will be 40° for the given polygon.
What is a polygon?A polygon is a closed polygonal chain made up of a finite number of straight line segments and is a type of plane figure in geometry. A polygon is a region that is bounded by a bounding circuit, a bounding plane, or both.
Given that the polygon has three sides and the two angles are 56° and 84°. The value of the third angle will be calculated as:-
Angle ∠ a = 180 - 84 - 56
Angle ∠ a = 40°
Hence, the value of the angle 'a' is 40°.
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AND D IS 2 1/8
THIS IS ASAP PLS ANSWER ASAP
Answer:
C
Step-by-step explanation:
V=whl
=1.5*2*1.25
=3.75
solve by using substitution and elimination method
The solutions to the system of equations in this problem are given as follows:
(-1,1) and (4,5).
How to solve the system of equations?The first equation in this system is given as follows:
\(\frac{5}{x + 1} - \frac{2}{y - 1} = \frac{1}{2}\)
Applying the least common factor, the expression is given as follows:
\(\frac{5(y - 1) - 2(x + 1)}{(x + 1)(y - 1)} = \frac{1}{2}\)
\(\frac{-2x + 5y - 7}{(x + 1)(y - 1)} = \frac{1}{2}\)
Applying cross multiplication, we have that:
-4x + 10y - 14 = (x + 1)(y - 1)
-4x + 10y - 14 = xy - x + y - 1
xy + 3x = 9y - 13.
x(y + 3) = 9y - 13
x = (9y - 13)/(y + 3).
The second equation is given as follows:
\(\frac{10}{x + 1} + \frac{2}{y - 1} = \frac{5}{2}\)
Hence:
\(\frac{10(y - 1) + 2(x + 1)}{(x + 1)(y - 1)} = \frac{5}{2}\)
\(\frac{10y + 2x - 8}{(x + 1)(y - 1)} = \frac{5}{2}\)
5(x + 1)(y - 1) = 20y + 4x - 16
5(xy - x + y - 1) = 20y + 4x - 16
5xy - 5x + 5y - 5 = 20y + 4x - 16
9x - 5xy = -15y + 11
x(9 - 5y) = -15y + 11
x = (-15y + 11)/(9 - 5y)
Equaling both equations of x, the solution for y is obtained as follows:
(9y - 13)/(y + 3) = (-15y + 11)/(9 - 5y)
Applying cross multiplication, and then combining the like terms, we have that the simplified expression is of:
y² - 6y + 5 = 0.
(y - 1)(y - 5) = 0.
When y = 1, the solution for x is given as follows:
(-15 + 11)/(9 - 5) = -4/4 = -1.
When y = 5, the solution for x is given as follows:
x = (-15(5) + 11)/(9 - 5(5)) = 4.
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A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?
The ladder needs to be 34.3m long from tree you to get to get the cat.
We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is 54°
Suppose Hypotenuse equals h.
Given, the base is 23m
Using trigonometry,
tan θ = Base / hypotenuse
tan 54° = 23 / h
⇒ 0.67 = 23 / h
⇒ h = 23 / 0.67
⇒ h = 34.3
So, the ladder needs to be 34.3m away in order to reach cat.
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Create a list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode.
A list of 6 one digit whole numbers with an average of 5, a median of 6, a range of 9, and no mode is
0, 1, 5, 7, 8, and 9How to create the listsince the numbers will have no mode so they are all different
Assuming the numbers are: a, b. c. d. e. and f
The average is 5
(a + b + c + d + e + f ) / 6 = 5
a + b + c + d + e + f = 30
The median is 6
(c + d)/2 = 6
c + d = 12 (assume c = 5 and d = 7)
range is 9
f - a = 9, since it is a one digit number a range of 9 is possible for 9 - 0
hence a = 0 and f = 9
substituting assumed values to the average
0 + b + 5 + 7 + e + 9 = 30
b + e + 21 = 30
b + e = 9 (let b = 8and e = 1)
hence the numbers are
0, 1, 5, 7, 8, and 9
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8/15 divided by 2/5?
By answering the given question, we may state that Therefore, equation
8/15 ÷ 2/5 = 4/3.
What is equation?Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.
divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.
8/15 ÷ 2/5
is the same as
8/15 x 5/2
Now we can simplify by canceling common factors:
= 2*(2/3)
= 4/3
Therefore,
8/15 ÷ 2/5 = 4/3.
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Use the line plot at the right. how much older
is the oldest player than the youngest player?
The oldest player is 14 years older than the youngest player.Based on the given line plot, the oldest player is 14 years older than the youngest player.
To determine the age difference between the oldest and youngest players, we need to analyze the line plot provided. The x-axis represents the players' numbers, while the y-axis represents their ages. By examining the plot, we can determine the age of the youngest player, which is 20 years. Similarly, the age of the oldest player can be found to be 34 years.
To calculate the age difference, we subtract the age of the youngest player from the age of the oldest player: 34 - 20 = 14.
Based on the given line plot, the oldest player is 14 years older than the youngest player.
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The mean and standard deviation of the scores obtained by students in a class of 20
are μ= 75 and σ = 3.4. The z score of one of the students is z = 2.85. What is his
score?
The student's score is approximately 84.69.
What is the z-scores?
Z-scores are standardized values that describe the number of standard deviations a given value is away from the mean of a normal distribution.
To find the score of the student with a z-score of 2.85, we can use the formula:
x = μ + zσ
where x is the score, μ is the mean, σ is the standard deviation, and z is the z-score. Plugging in the given values:
x = 75 + 2.85 * 3.4
x = 75 + 9.69
x = 84.69
Hence, the student's score is approximately 84.69.
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Differentiate the function with respect to x
f(x)=( x^4 +1)(-x^2 +5)
SHOW ALL WORK!!
Answer: -x^6+5x^4-x^2+5
x^4×-x^2= -x^6
x^4×5= 5x^4
1×-x^2=-x^2
1×5=5
-x^6+5x^4-x^2+5
I hope this helps:
Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)
Answer:
y = 2/5x + 18.
Step-by-step explanation:
The line will have the same slope of 2/5.
Using the point-slope form of a line:
y - 12 = 2/5(x - -15)
y - 12 = 2/5(x + 15)
y = 2/5x + 6 + 12
y = 2/5x + 18.
Answer:
y = (2/5)*x + 18
Step-by-step explanation:
Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .
Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y = (2/5)*x + 18.
what is the sum of the reciprocals of the roots of the equation \[\frac{2003}{2004} x 1 \frac{1}{x}
The sum of the reciprocals of the roots of the equation\(\[\frac{2003}{2004}x + \frac{1}{x} = 1\]\)is 1.
To solve this, let's first find the roots of the given equation.
Clear the fraction by multiplying both sides by 2004x:
2003\(x^2\) + 2004 = 2004x
Rearrange the equation to form a quadratic equation:
2003\(x^2\) - 2004x + 2004 = 0
Now, let's use Vieta's formulas, which relate the coefficients of a quadratic equation to the sum and product of its roots.
Let the roots of the equation be r1 and r2. According to Vieta's formulas, we have:
Sum of the roots: r1 + r2 = -b/a
Product of the roots: r1 × r2 = c/a
In our case, a = 2003, b = -2004, and c = 2004.
Calculate the sum of the roots:
r1 + r2 = -(-2004) / 2003 = 2004 / 2003
Find the sum of the reciprocals of the roots:
(1/r1) + (1/r2) = (r1 + r2) / (r1 × r2)
Since we already have the sum of the roots, we only need the product of the roots to complete the calculation:
r1 × r2 = 2004 / 2003
Plug the values into the equation:
(1/r1) + (1/r2) = (2004 / 2003) / (2004 / 2003) = 1
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you are going to create a caramel cheese popcorn mixture. one cup of caramel popcorn contains 183 calories, 5.4 grams fat, 22.5 grams sugar, and 87 mg of sodium. one cup of cheese popcorn contains 58 calories, 3.7 grams fat, 0.1 grams sugar, and 98 mg sodium. if you create a mixture that has two times as much cheese popcorn as caramel popcorn and contains a total of 254 calories, how many cups of each item would be in your mixture. be sure to clearly define the variables used, define the two equations, and show and explain all work.
The mixture would contain approximately 0.849 cups of caramel popcorn and 1.698 cups of cheese popcorn.
Let's define the variables:
Let x be the number of cups of caramel popcorn in the mixture
Let y be the number of cups of cheese popcorn in the mixture
We are given that the mixture has two times as much cheese popcorn as caramel popcorn, so y = 2x.
We are also given that the total number of calories in the mixture is 254. To find an equation that relates x and y, we can use the calorie information for each type of popcorn:
Calories from caramel popcorn = 183x
Calories from cheese popcorn = 58y = 58(2x) = 116x
Total calories in the mixture = 183x + 116x = 299x
Setting the total calories equal to 254 and solving for x:
299x = 254
x = 0.849
So we would need 0.849 cups of caramel popcorn in the mixture.
To find the number of cups of cheese popcorn, we can use the equation y = 2x:
y = 2(0.849) = 1.698
So we would need 1.698 cups of cheese popcorn in the mixture.
Therefore, the mixture would contain approximately 0.849 cups of caramel popcorn and 1.698 cups of cheese popcorn.
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find the value of x round to the nearest tenth. 10 7 x
Answer:
Step-by-step explanation:
10.6= 11 when rounded
Trust me po hehe
What is the prime factorization of 154?
2 × 7 × 11
2 × 7 × 13
2 × 5 × 11
2 × 5 × 13
Answer:
2 x 7 x 11
Step-by-step explanation:
What are the 5 properties of a triangle?
Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.
1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.
3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).
4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.
5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.
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The five properties of triangle is listed below.
The term triangle is defined as the polygon with three angle, sides and vertices.
Here we have to list down the properties of triangle.
The basic five properties of triangle are as follows:
1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.
2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.
3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.
4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.
5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.
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Simplify \(\\\frac{8(x+3)^{2}}{2(x+3)}\)
The Simplification of the expression \(\frac{8(x+3)^2}{2(x+3)}\) is
4 x+12
This is further explained below.
What is the Simplification?Generally, the required expression is
\(\frac{8(x+3)^2}{2(x+3)}\)
Cancel the common factor of 8 and 2.
\(\frac{4(x+3)^2}{x+3}\)
Cancel the common factor of (x+3)^2 and x+3.
Factor x+3 out of 4(x+3)^2.
\(\frac{(x+3)(4(x+3))}{x+3}\)
Cancel the common factors.
4(x+3)
Apply the distributive property.
4 x+4 *3
Multiply 4 by 3.
4 x+12
In conclusion, The expression's (\(\frac{8(x+3)^2}{2(x+3)}\))condensed form
4 x+12
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Karen,Sam, and Hector order a pizza.
Karen eats 1/3 of the pizza, Sam eats 1/3 of
what is left after Karen is done, and Hector
eats 1/3 of what is left after Sam is done.
What part of the pie is left after Hector is
done?
2т - 7 = 5х +8
Can u help me plzzzzz
Answer:
The answer is X=5
Step-by-step explanation:
2x - 5x = 7-8
-3x = -15
X= -15: (-3)
X=5
The vertices of triangle EFG are E(-3, 2), F(-3, 0), and G(0, 0). The
triangle will be reflected over the x-axis. What will be the vertices of the image triangle?
A. E'(-2, -3), F'(0, 3), G'(0, 0)
B. E'(-3, -2), F'(-3, 0), G'(0, 0)
C. E'(3, 2), F'(3, 0), G'(0, 0)
D. E'(2,3), F'(0,3), G'(0, 0)
Answer:
B. E'(-3, -2), F'(-3, 0), G'(0, 0)
Step-by-step explanation:
When a point (x, y) is reflected over the x-axis the new coordinates will be
(x', y') where x'x = x and y' = -y
In other words, the transformation is
(x, y) ⇒ ((x, -y)
Point E is (-3, 2) . When transformed e' becomes (-3, -2)
The only choice where E' is (-3, -2) is choice B
You can test the others if you wish
Answer:
B. E'(-3, -2), F'(-3, 0), G'(0, 0)
A chord is a line segment that connects two points on a circle what is the maximum number of non-overlapping regions a circle can be divided into with 15 chords
A) 30
B) 48
C) 121
D) 127
Pls help
easy simple math
39.99 x 7.25
Answer:
289.92
Step-by-step explanation:
Multiply the numbers together
\(\longrightarrow{\green{289.9275}}\) ✅
Step-by-step explanation:
\(39.99 \times 7.25 \\ \\ = 289.9275\)
\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)
the area covered by the hour hand of a wall clock between time 4 : 26 and 6 : 50 is what percent of the area covered by it in 15 hours?
Step-by-step explanation:
From 4:26 to 6:50 is 2 hr and 24 in = 2 24/60 hrs = 2.4 hours
2.4 hrs is what percent of 15 hrs ?
2.4 / 15 * 100% = 16%