Answer:
9
(Correct On Edgen)
Find the length of the third side. If necessary, write in simplest radical form.
5
6
Answer:
[tex]c=\sqrt{61}[/tex]
Step-by-step explanation:
Assuming it's a right triangle, you would have to use the Pythagorean Theorem which states:
[tex]a^{2} +b^{2} =c^{2}[/tex]
Assuming we're looking for the hypotenuse:
[tex]5^{2} +6^{2} =c^{2}[/tex]
[tex]25+36=c^{2}[/tex]
[tex]61=c^{2}[/tex]
[tex]\sqrt{61} =c[/tex]
An unbounded problem is one for which ________. remains feasible
A. the objective is maximized or minimized by more than one combination of decision variables
B. there is no solution that simultaneously satisfies all the constraints
C. the objective can be increased or decreased to infinity or negative infinity while the solution
D. there is exactly one solution that will result in the maximum or minimum objective
C. the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible.
An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that there may be more than one combination of decision variables that will maximize or minimize the objective, and there may not be exactly one solution that will result in the maximum or minimum objective value.
An unbounded problem is one for which the objective can be increased or decreased to infinity or negative infinity while the solution remains feasible. This means that the problem has no finite upper or lower limit and is not subject to any specific constraints. As a result, there may be more than one combination of decision variables that will maximize or minimize the objective. In addition, there may not be exactly one solution that will result in the maximum or minimum objective value, as the solution set can be infinite. Thus, it is important to keep in mind that an unbounded problem has no specific solution and that different combinations of decision variables can result in the same objective value.
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Which situation can be represented by the inequality x<56
Step-by-step explanation:
e.g. there fit only max. 55 (< 56) people into a room (like a large conference room or a small movie theater).
or for a mathematical function like
1/(x - 56)
x < 56 can be the domain definition.
or it can be the climate (temperature in Fahrenheit) setting for a certain area at a zoo.
or, or, or ...
Which ordered pair is the solution to the linear functions graphed?
The ordered pair that is the solution to the linear functions graphed is (b) (5, 25)
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
The lines on the graph
Next, we interpret the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (5, 25)
Hence, the solution is (5, 25)
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Help! Determine the Volume of the following rectangular prism using the formula V = lwh
Therefore , the solution to the given problem of volume comes out to be Volume of the prism = 15x^7 cube unit.
What is meant by volume?The term "volume" describes the amount of muti space that a thing takes up. Volume, in contrast to mass, varies with the environment. The term "density" describes the mass that a material has in a specific volume. It explains how mass and volume are related.
Here,
Given: The rectangular prism must have a 4.5 inch width.
As follows are the terms for the rectangular prism's volume:
V = l*w*h
where the prism's dimensions are l for length, w for width, and h for height.
Volume of prism equals 5x3 * 3x2 * x2,
or 15x7.
Therefore , the solution to the given problem of volume comes out to be Volume of the prism = 15x^7 cube unit.
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Classify each variable according to the set of numbers that best describes itsvalues.
1.the area of the circleAfound by using the formulaπr2
2.the number n of equal slices in a pizza; the portion p of the pizza in one slice
3. the air temperaturetin Saint Paul, MN, measured to the nearest degreeFahrenheit
4. the last four digitssof a Social Security number
The variable "area of the circle" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. 0 to infinity), and the difference between any two values within that range can be any positive value.
The variable "number of equal slices in a pizza" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 1, 2, 3, etc.). Similarly, the variable "portion of the pizza in one slice" would also be classified as a discrete variable, as it can only take on certain values (e.g. 1/2, 1/3, 1/4, etc.).
The variable "air temperature in Saint Paul, MN" would likely be classified as a continuous variable, as it can take on any value within a certain range (e.g. -40 to 120 degrees Fahrenheit), and the difference between any two values within that range can be any positive value.
The variable "last four digits of a Social Security number" would likely be classified as a discrete variable, as it can only take on certain integer values (e.g. 0001 to 9999).
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Find m∠ABC and m∠CBD if m∠ABD =120°
The measures of angles m∠ABC = 36° and m∠CBD = 84°.
What is geometryGeometry is a branch of mathematics that deals with shapes, sizes, angles, and dimensions of objects.
The angle m∠ABD = 120° is the result for the sum of the two angles m∠ABC and m∠CBD so;
m∠ABC + m∠CBD = m∠ABD
2x + 5x - 6 = 120°
7x - 6 = 120° {add 6 to both sides}
7x = 120° + 6°
7x = 126° {divide through by 7}
x = 126°/7
x = 18
2x = 2(18) = 36°
5x - 6 = 5(18) - 6 = 84°
Therefore, the geometry question have the measure of angles m∠ABC = 36° and m∠CBD = 84°.
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Possible Question:
Find m∠ABC and m∠CBD if m∠ABD =120°, m∠ABC = 2x, m∠CBD = (5x - 6)°, and the angle m∠ABD is the sum of m∠ABC and m∠CBD.
Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (round your answers to three decimal places. ) y = 3x.
The area of the region is between the upper and lower sums, which are 0.5625 and 0.5.
Calculate Area Using SumsTo use upper and lower sums to approximate the area of a region, we need to first divide the region into subintervals of equal width. Once we have the subintervals, we can then use the function values at the upper and lower bounds of each subinterval to calculate the upper and lower sums.
In this case, we are given that y = 3x, and we are asked to use n = 4 subintervals to approximate the area of the region.To find the width of each subinterval, we can use the formula:width = (b - a) / n, where a and b are the lower and upper bounds of the region, and n is the number of subintervals.
Let's assume the region is between x = 0 and x = 1.Therefore, the width of each subinterval is (1 - 0) / 4 = 0.25.Next, we can use the upper and lower bounds of each subinterval to calculate the upper and lower sums.The upper sum is calculated by multiplying the function value at the upper bound of each subinterval by the width of the subinterval and summing up the results:Upper sum = 0.25 × f(0.25) + 0.25 × f(0.5) + 0.25 × f(0.75) + 0.25 × f(1)The lower sum is calculated by multiplying the function value at the lower bound of each subinterval by the width of the subinterval and summing up the results:Lower sum = 0.25 × f(0) + 0.25 × f(0.25) + 0.25 × f(0.5) + 0.25 × f(0.75)Since we know y = 3x, we can use this to calculate the function value at each bound:Upper sum = 0.25 × 30.25 + 0.25 × 30.5 + 0.25 × 30.75 + 0.25 × 31 = 0.5625Lower sum = 0.25 × 30 + 0.25 × 30.25 + 0.25 × 30.5 + 0.25 × 30.75 = 0.5Therefore the area of the region is between the upper and lower sums, which are 0.5625 and 0.5 respectively.Learn more about Lower and Upper Sums here:
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Which of the following equations has no real solutions? Select one: A. X? +3x=7 B. 5x-4 = 3x C. X? +1 = 3x D. 2x2 +5x=3
B) 5x-4 = 3[tex]x^2[/tex] has no real solution
To check real solution of a quadratic equation we have to check for discriminant value of each equation a[tex]x^2[/tex] + bx +c is given by :
D =b^2 - 4ac.
if D<0 then equation have no solution.
now we need to check for each option the D value
Option A:
Therefore, the discriminant of the equation x^2 - 3x - 7 is (-3)^2 - 4(1)(-7) = 9 + 28 = 37.
Option B:
The discriminant of the quadratic equation 3x^2 - 5x + 4 is the value of b^2 - 4ac, which is (5)^2 - 4(3)(4) = 25 - 48 = -23. A negative discriminant (-23) would indicate that the equation has no real solutions, meaning it has no solutions in real numbers.
so option B which is 5x-4 = 3[tex]x^2[/tex] have no real solution.
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Complete question:
Which of the following equations has no real solutions?
A. [tex]x^2[/tex] +3x=7
B. 5x-4 = 3[tex]x^2[/tex]
C. [tex]x^2[/tex] +1 = 3x
D. 2[tex]x^2[/tex] +5x=3
A hypothesis test involves a comparison of which two elements?
a. Research results from a sample and a hypothesis about a population
b. Research results from a population and a hypothesis about a sample
c. Research results from a population and a hypothesis about the population
d. Research results from a sample and a hypothesis about the sample
Answer:
I believe its A, correct me if i'm wrong.
Step-by-step explanation:
A hypothesis test involves a comparison between research results from a sample and a hypothesis about a population.
Thus, option (A) is correct.
In hypothesis testing, a researcher starts with a null hypothesis, which represents the assumption of no difference or no effect in the population.
The researcher collects data from a sample and performs statistical analysis to determine whether the evidence supports or rejects the null hypothesis in favor of an alternative hypothesis.
The research results obtained from the sample are compared to the hypothesis about the population to determine whether there is enough evidence to reject the null hypothesis and accept the alternative hypothesis.
Thus, option (A) is correct
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Exercise #2: Pounds and kilograms are two different units for measuring the weight of an object. The weight in pounds is proportional to the weight in kilograms. The graph below shows this proportional relationship. (a) What does the point (1, 2.2) on this graph tell us? (b) If a person weighed 121 pounds, what would his weight be in kilograms? Let k be the weight in kilograms. Solve a proportion to find k. Number of Pounds 6 5 3 2 1 Number of Kilograms
PLEASE HELP ME I HAVE BEEN STUCK FOR A LONG TIME ON THIS QUESTION!!
2.26 pounds equal one kilo of mass and hence, 121 pounds divided by 2.26 equals 53.09 kilograms.
what is kilogram ?Kg, the metric system's fundamental unit of mass The mass of 1,000 cubic centimeters of water is quite close to one kilogram; originally, it was supposed to be exactly equal. According to definitions, a pound is exactly equivalent to 0.45359237 kg. The kilogram (abbreviated "kg") is the SI Base Unit for calculating mass. One gram (g) is produced when you divide one kilogram by 1000, and one metric ton is produced when you multiply one kilogram by 1000. Consequently, 1000 grams equals 1 kilogram, and 1000 kilograms equal 1 ton.
given
kilogram (kg) weighs 2.2 times more than a pound (represented as lbs).
As a result, 2.26 pounds equal one kilo of mass.
hence, 121 pounds divided by 2.26 equals 53.09 kilograms.
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How do you write end behavior?
The end behavior of a function is the way the graph of the function behaves as either x→∞ or x→−∞.
To calculate the end behavior of a function, we take the highest degree of the function and look at the leading coefficient. If the leading coefficient is positive, then the graph will go to positive infinity as x→∞ and will go to negative infinity as x→−∞. If the leading coefficient is negative, then the graph will go to negative infinity as x→∞ and will go to positive infinity as x→−∞. For example, if the function is f(x) = 2x^3 + 6x, then the highest power is 3 and the leading coefficient is 2, which is positive. Therefore, the graph of the function will go to positive infinity as x→∞ and will go to negative infinity as x→−∞.
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The function g is defined by g(x)=6+x/7+4x. Find g(n+4)
The function g(n+4) = 10 + n/23 + 4n.
What are Functions?A function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Let A & B be any two non-empty sets; mapping from A to B will be a function only when every element in set A has one end, only one image in set B.
Types of FunctionsOne – one function (Injective function)Many – one functionOnto – function (Surjective Function)Into – functionPolynomial functionLinear FunctionIdentical FunctionQuadratic FunctionRational FunctionAlgebraic FunctionsCubic FunctionModulus FunctionSignum FunctionGreatest Integer FunctionFractional Part FunctionEven and Odd FunctionPeriodic FunctionComposite FunctionConstant FunctionIdentity Functiong(x)=6+x/7+4x
g(n+4) = 6+n+4/7+4(n+4)
g(n+4) = 10 + n/7 + 4n + 16
g(n+4) = 10 + n/23 + 4n
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What is the value of 2 ½?
The value of 2 ½ is 2.5. As 2 ½ is the same as mixed fraction 2 ½ = 5/2.
2 ½ is a mixed number, it is a whole number combined with a fraction. In this case, 2 is the whole number and ½ is the fraction. The value of 2 ½ is calculated by adding the value of the whole number to the value of the fraction.
The value of the whole number 2 is 2, and the value of the fraction ½ is 0.5. To find the value of 2 ½, we add 2 to 0.5:
2 + 0.5 = 2.5
So, the value of 2 ½ is 2.5.
It's important to note that mixed numbers are used to represent numbers that are between two whole numbers, they consist of a whole number and a proper fraction. This mixed number representation is commonly used in everyday life, and it's easy to understand.
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For the following system, if you isolated x in the second equation to use the substitution method, what expression would you substitute into the first equation? 2x + y = 8 −x − 3y = −12 a 3y + 12 b −3y + 12 c 3y − 12 d −3y − 12
Isolating x in the second equation, the expression that would be replaced into the first equation to solve the system of equations is given as follows:
b. -3y + 12.
How to solve the system of equations?The system of equations for this problem, with variables x and y, is defined as follows:
2x + y = 8.-x - 3y = -12.The second equation of the system is given as follows:
-x - 3y = -12.
The first step to isolate x is move the -3y term to the opposite side of the equality, with an addition symbol, which is the inverse of the negative symbol, hence:
-x = 3y - 12.
As the leading coefficient of x is negative, the entire expression must be multiplied by -1, hence:
x = 12 - 3y.
x = -3y + 12(commutative property).
Meaning that the correct option is given by option b.
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Answer: (b) -3y + 12.
To use the Substitution Method, we would isolate x in the second equation, which gives:
-x = 3y - 12
Multiplying both sides by -1, we get:
x = -3y + 12
We can then substitute this expression for x into the first equation, which gives:
2(-3y + 12) + y = 8
Simplifying this expression, we get:
-5y + 24 = 8
Subtracting 24 from both sides, we get:
-5y = -16
Finally, dividing both sides by -5, we get:
y = 16/5
Therefore, if we isolate x in the second equation, we would substitute x = -3y + 12 into the first equation.
So the expression we would substitute into the first equation is -3y + 12.
If polygons are similar then what do you know about the corresponding sides and the corresponding angles?​
If two polygons are similar, it means that their corresponding angles are congruent (have the same measure) and their corresponding side lengths are in proportion to each other.
Similar polygons are two polygons that have the same shape but differ in size. Similar polygons have congruent congruent angles and proportional proportionate sides.
When two polygons are similar, their respective angles are congruent (have the same measure) and their corresponding side lengths are proportional to one another.
Additionally, the ratio of the length of any corresponding side of the two polygons is equal to the ratio of the length of any other corresponding side.
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Please answer correctly I do not understand this
Answer:
I think it is 7 as well
Step-by-step explanation:
They look equal and they both have the same degree of angle. I hope this helps!
Triangle DOG is an isosceles triangle. DO = OG mO = 126° What is mG? A. 27° B. 39° C. 54° D. 64°
Answer:
A. 27
Step-by-step explanation:
mG=(180-126)/2=27
Solve (x - 5)² = 3.
A. x-5± √√3
B. x = 8 and x = -2
C. x=-5± √√3
D. x=3 ± √√5
Answer:
A
Step-by-step explanation:
(x-5)^2 = 3
Take the square root of both sides
You are now left with: x-5 = sqrt(3)
Add 5 to both sides
x= 5 + or - sqrt(3)
Answer: A
Step-by-step explanation:
(x - 5)^2 = 3
take square root of both sides
(x - 5) = +-sqrt 3
you can remove the parentheses
x - 5 = +-sqrt 3
isolate the x variable
x = +-sqrt 3 + 5
How do you find the scale factor of two similar circles?
The scale factor of two similar circles is equal to the ratio of their radii.
This can be expressed mathematically as a fraction, where the numerator is the radius of the larger circle, and the denominator is the radius of the smaller circle. For example, if the radii of the two circles are 3 cm and 6 cm, then the scale factor is 3/6 or 1/2. To find the scale factor, divide the radius of the larger circle by the radius of the smaller circle. For example, if the radii of the two circles are 10 cm and 4 cm, then the scale factor is 10/4, or 5/2.
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What type of function is y 10?
The y10 is a linear function, which is a type of function that follows a straight line when graphed.
Linear functions are often written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
The equation y 10 is a linear function with a slope of 0, meaning that the line does not move up or down and a y-intercept of 10, meaning that the line passes through the point (0, 10).
The function y 10 is a mathematical expression that can be used to solve certain equations. It is a linear equation, which means that it follows the equation y = mx + b, where m is the slope of the line and b is the y-intercept.
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What is the slope of linear equation 2x 10?
The slope of the given linear equation y = 2x + 10 is 2.
If we draw the graph of the linear equation y = mx + c. The result is a line with m as the slope, and c as the y-intercept. This form of the linear equation y = mx + c is called the slope-intercept form, and the values of m and c are real numbers.
The slope, m, of the line represents the steepness of a line. This is also termed a gradient, sometimes. The y-intercept, c, of the line y = mx + c represents the y-coordinate of the point where the graph of the line intersects the y-axis.
Now, if we equate the standard slope-intercept form of the equation with the given equation, we get
y = mx + c
y = 2x + 10
m = 2 and c = 10
As we know the m is the slope which is equal to 2.
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What are the three types of loops that can be built using the while statement and other statements?
The three types of loops that can be built using the while statement and other statements are The While Loop,The For Loop,The Do-While Loop.
What is loop?Loop in math is a path or line that starts and ends at the same point. It can refer to a continuous curve, like a circle, or to a sequence of discrete points, like a polygonal line. It is a fundamental concept in mathematics, used to study various topics such as curves, surfaces, and solids. Loops are also used in graph theory to study networks.
1. The While Loop: This allows you to execute a set of instructions until a certain condition is met.
2. The For Loop: This is a pre-defined loop that is used to iterate through a list of elements and execute a set of instructions for each element.
3. The Do-While Loop: This is similar to the While Loop, but the set of instructions are executed at least once before the condition is checked. This allows for a set of instructions to always be executed at least once.
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Can yall help me with this math question fast
The first step to solve the equation 3x/5 + 5 = 20,
3x/5 + 5 - 5 = 20 - 5
3x/5 (5/3) = 15 (5/3)
is known as Subtraction property of equality, So option B is correct.
What is an Subtraction property of equality?It is a property of mathematics, in which we subtract the same number on both the sides of any equation.
for example, ax+b = c ⇒ ax+b-5 = c-5
Given math equation,
3x/5 + 5 = 20
here we apply, Subtraction property of equality
So, we are subtracting -5 both the sides
3x/5 + 5 - 5 = 20 - 5
Hence, Used property is subtraction property of equality
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PLEASE HELP PLEASE IT WAS DUE YESTERDAY.
i think its 4 x =2x +1
Need Help Please and thank!
Answer:
B) y = -2/3x -2
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise/run
Let's pick 2 points (-3,0) (0, -2); we see the y decrease by 2 and the x increase by 3, so the slope is
m = -2/3 = -2/3
The Y-intercept is located at (0, -2)
So, our answer is B) y = -2/3x -2
Which of the following is a factor of xy 3y − 7x − 21?
The factor of xy 3y − 7x − 21 is x − 3.
xy 3y − 7x − 21 = x(y 3y − 7) − 21 = x(y 3y − 7) − 3(7) = (x − 3)(y 3y − 7)
The expression xy 3y − 7x − 21 can be simplified by factoring out the greatest common factor, which in this case is x. We can factor out an x by dividing the entire expression by x. This gives us y 3y − 7 − 21/x. Now, we can look for a common factor between the two terms. In this case, the factor is -3. We can factor out -3 from both terms to get -3/x and y 3y − 7. This can be rewritten as (x − 3)(y 3y − 7). Therefore, the factor of xy 3y − 7x − 21 is x − 3.
To explain further, factoring is the process of breaking down an expression into its factors. A factor is a number, variable, or expression that can be multiplied to produce the original expression. In this case, we are looking for the factors of xy 3y − 7x − 21. To find these factors, we first simplify the expression by factoring out the greatest common factor, which in this case is x. We then look for a common factor between the two terms, which is -3. We factor out -3 and rewrite the expression as
(x − 3)(y 3y − 7). This means that the factor of xy 3y − 7x − 21 is x − 3.
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What is the cos L?
HELP!
The correct option c. 5/7. The value of cos L is found to be 5 /7.
Explain the term trigonometric ratios?Trigonometric ratios are based on the value of a ratio of sides of a right-angled triangle and contain the values of all trigonometric functions. These trigonometric ratios of a given acute angle are the ratios of the sides of either a right-angled triangle in respect to that angle. Trigonometric ratios are the ratios of the sides in a right triangle. The sine, cosine, and tangent are three popular trigonometric ratios (tan).For the stated right angles triangle:
Cos L = base / hypotenuses
Cos L = 10 / 14
Cos L = 5/7
Thus, the value of cos L is found to be 5/7.
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What is the value of 625?
The value of 625 is the numerical representation of the quantity.
It is a composite number, meaning it can be divided evenly by more than just 1 and itself (5 x 5 x 5 = 625). It is also a perfect cube, as it can be represented as 5 cubed (5³).
In mathematical operations, it can be used as a constant or as a variable in equations and formulas. It can also be represented in scientific notation as 6.25 x 10².
In terms of real-world applications, it may be used in measurements, such as area or volume, or as a quantity in various calculations or formulas.
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What is a simple table?
Therefore , the solution of the given problem of table comes out to be the simplest table is of 1,2,3,4,5,6,7,8,9 and 10.
About a table.A statistic list is a group of figures that displays the results of a calculation with several inputs. Data is organized in rows and columns and is composed of descriptions and numbers. It is simple to remember the table and the pattern of 10. The numerals are 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50, in that order. Value mapping is a technique for displaying the relationships between various data elements. The values table can be useful in any science class.
Here,
The simple table is easy to remember and
the most simple table is of 1
=>1,2,3,4,5,6,7,8,9 and 10
Therefore , the solution of the given problem of table comes out to be the simplest table is of 1,2,3,4,5,6,7,8,9 and 10.
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