Answer:
- 3
Step-by-step explanation:
Calculate the gradient (slope) m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)
m = \(\frac{-8-(-2)}{-3-(-5)}\) = \(\frac{-8+2}{-3+5}\) = \(\frac{-6}{2}\) = - 3
let us suppose that sixteen adult polar bears are weighed in an attempt to estimate the average weight of all adult polar bears. the standard deviation of the population of weights is not known, so a t-interval will be reported. what will be the degrees of freedom for the t-procedure?
Answer:
your mom + your mom = big mama there you go your welcome
Step-by-step explanation:
your mom + your mom = big mama there you go your welcome
Prove the Generalized Triangle Inequality: if a₁, a2, ..., an ER then la₁ + a₂ + + a₂ ≤ |a₁| + |a₂|++|a₂l. (Hint: Use the Principle of Mathematical Induction)
The Generalized Triangle Inequality states that for any real numbers a₁, a₂, ..., an, the sum of their absolute values is greater than or equal to the absolute value of their sum. This can be proven using the Principle of Mathematical Induction.
We will prove the Generalized Triangle Inequality using mathematical induction.
Base Case: For n = 2, the inequality reduces to |a₁ + a₂| ≤ |a₁| + |a₂|, which is the regular Triangle Inequality for two real numbers. This base case is true.
Inductive Step: Assume that the inequality holds for some positive integer k, i.e., for any a₁, a₂, ..., ak, we have |a₁ + a₂ + ... + ak| ≤ |a₁| + |a₂| + ... + |ak|.
We need to prove that the inequality holds for k + 1, i.e., for any a₁, a₂, ..., ak, ak+1, we have |a₁ + a₂ + ... + ak + ak+1| ≤ |a₁| + |a₂| + ... + |ak| + |ak+1|.
Using the Triangle Inequality for two numbers, we have:
|a₁ + a₂ + ... + ak + ak+1| ≤ |a₁ + a₂ + ... + ak| + |ak+1|
By the induction hypothesis, |a₁ + a₂ + ... + ak| ≤ |a₁| + |a₂| + ... + |ak|. Combining these inequalities, we get:
|a₁ + a₂ + ... + ak + ak+1| ≤ |a₁| + |a₂| + ... + |ak| + |ak+1|
This completes the proof by induction.
Therefore, we have proven that for any real numbers a₁, a₂, ..., an, the sum of their absolute values is greater than or equal to the absolute value of their sum, which is the Generalized Triangle Inequality.
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If you know the answer to this let me know pls!
Answer:
I think it is C.
Step-by-step explanation:
Have a good day. :-)
ORCEE Exercise 1.9 (5 pts): What are the five permissible variable types in GAMS? Which type is most appropriate for a linear program (LP)?
The most appropriate variable type is usually level variables or positive variables for a linear program (LP).
In GAMS (General Algebraic Modeling System), there are several variable types available. The five permissible variable types in GAMS are:
1.These variables can take any real value within a defined range. They are typically used in models where quantities can vary continuously, such as production levels or resource allocations.
2.These variables are similar to level variables, but they are constrained to be non-negative. They are commonly used to represent quantities that cannot be negative, such as production quantities or inventory levels.
3.Binary variables can take only two possible values, typically 0 or 1. They are commonly used to represent decisions or choices, where 0 indicates the absence or non-selection of an option, and 1 indicates the presence or selection of an option.
4.Integer variables can take only integer values. They are used when the decision variables need to be restricted to whole numbers, such as representing the number of units to produce or the number of employees to hire.
5.These variables can take a value of either zero or any nonnegative real number within a specified range. They are used to model situations where there is a fixed cost associated with using a resource or when there are minimum usage requirements.
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the product 2√3 and 3√12 in simplified form is
The product of 2√3 and 3√12 in simplified form is 6√36. To simplify this expression, we can first multiply 2 and 3 to get 6. Then, we can simplify the square root of 3 and the square root of 12 by finding their prime factorizations:
√3 = √(3 * 1) = √3
√12 = √(12 * 1) = √(2^2 * 3) = 2√3
So, 2√3 = 2 * √3 = 2 * √3
And, 3√12 = 3 * 2√3 = 6√3
Finally, the product of 2√3 and 3√12 is 6 * 6√3 = 6√36.
Geometry problem....
Answer:
Step-by-step explanation:
24/x = 28/(32 - x) Cross multiply
24 * (32 - x) = 28x Remove the brackets.
768 - 24x = 28x Add 24x to both sides
768 = 28x + 24x
768 = 52x
52x = 768 Divide by 52
x = 768/52
x = 14.77
AB = 32 - 14.77
AB = 17.23
The denominator in the earnings per share formula is? a.preferred dividends. b.net income. c.number of preferred shared outstanding. d.number of common shares outstanding.
The denominator in the earnings per share formula is number of common shares outstanding.
What is the denominator used in the computation of earnings per share?
The weighted average of the outstanding shares of common stock serves as the numerator of the earnings per share. The "per share" part necessitates further computation when the number of common shares changes in the middle of the year. The weighting of the per share part depends on how long each share number has been in circulation.How are basic earnings per share determined?
Basic EPS is calculated by dividing net income by the weighted average of the common shares outstanding for the relevant period. Preferred dividends should be removed from the net income because they are not available to common stockholders. Net income can also be broken down into "continuing operations" P&L and "total P&L".Learn more about Basic EPS
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Please help me I don’t get it
Step-by-step explanation:
3.
we need to find the map size based on actual miles.
so, we find how many map ft are 1 actual mile :
5 ft / 20.5 corresponds to 1 actual mile.
5 / 20.5 = 10/41 ft
now, we have 15.5 actual miles, that is 15.5 times the 1 standard actual mile.
and so, this is
10/41 × 15.5 = 155/41 = 3.7804878048780... map ft
4.
30.5 model cm = 70.6 actual m
1 model cm = 70.6/30.5 = 2.314754098... actual m.
8 model cm = 8×2.314754098... =
= 18.51803279... actual m
5.
7 map m = 14 actual miles
1 map m = 14/7 = 2 actual miles.
14 map m = 14×2 = 28 actual miles.
6.
8 map km = 6 actual miles
we need to calculate the map km, so we need the standard actual mile
1 actual mile = 8/6 = 4/3 = 1.3333333... map km.
50.2 actual miles = 50.2×1.333333... =
= 66.93333333... map km.
7.
80.2 model cm = 40.2 actual m
1 model cm = 40.2/80.2 = 0.501246883... actual m
10 model cm = 10×0.501246883... =
= 5.01246883... actual m
8.
6 map m = 15 actual miles
1 map m = 15/6 = 5/2 = 2.5 actual miles
8.8 map m = 8.8×2.5 = 22 actual miles
9.
5 map ft = 16.5 actual miles
1 actual mile = 5/16.5 = 0.303030303... map ft
45.6 actual miles = 45.6×0.303030303... =
= 13.81818181... map ft
10.
65.8 model cm = 95.6 actual m
1 model cm = 95.6/65.8 = 1.452887538... actual m
12 model cm = 12×1.452887538... =
= 17.43465046... actual m
Compare the numerator and denominator of a
fraction that is greater than 100%
Answer:
I don't understand this question...
Step-by-step explanation:
But If you want a fraction greater than 100% than you have to find a percentage that is greater than 100% and convert it into a fraction
Answer: In a fraction, when the numerator is smaller than the denominator, the percent is either between 1% and 100 % or less than 1 %. To make sure that the given fraction is less than 1%, better convert the given fraction into decimal and then convert into percent. In decimal, when the given value is greater than 1, the percent is greater than 100%.
Step-by-step explanation: (1) Divide number by the other number, then (2) multiply by 100 to convert the result to a %. (3) If both numbers are positive, and the resulting percentage is greater than 100%, the numerator is larger than the denominator.
Factor the coefficient from 1.5a - 4.5
The answer is 1.5(a -3)
7/8m+9/10-2m-3/5
Combine like terms to create an equivalent expression.
Answer:
-1.123m+0.3
or in fraction form -9/8m+3/10
Step-by-step explanation:
first you subtract 7/8 from 2
then you subtract again 9/10 from 3/5
-2(a+3)+4a=18 HELP-ME PLEASEEE
Answer:
HELP*
Step-by-step explanation:
thats how u spell help ur welcome
Solve the math problem
Answer:
See below & pic.
Step-by-step explanation:
Now I understand the problem.
I corrected the answers I had given you, and wrote them in the blanks, and I filled in the rest a drew the graph.
See the picture below.
I think the question is not the cost and the earnings per hour. Rathe it means the cost and earnings as a function of hours.
I wrote those equations. Then I filled in the tables.
The breakeven point, when cost and earnings are equal, is at 6 hours, when both cost and earnings are $54. That is where the two lines intersect in the graph.
I NEED AN ANSWER ASAP PLEASE
Step-by-step explanation:
the correct answer is option a 6a-7
Combine the like terms to create an equivalent expression: −7−4p−(−5)
Answer:
the answer is -4p-2
2x + y = 7 3x -2y = -7 solve by substitution
Answer:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(1, 5)
Equation Form:
x = 1, y = 5
Brainliest Please!!
The solution for the given equations: x = 1 , y = 5.
What is substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
Given, equations
2x + y = 7 -------(a)
3x -2y = -7 -------(b)
Taking equation (a)
2x + y =7
y = 7 - 2x ------(c)
Substituting value of y in equation (b) from equation (c)
3x - 2(7 - 2x) = -7
3x - 14 + 4x = -7
7x = 7
x = 1
Putting value of x in equation (c)
y = 7 - 2 (1)
y = 5
Hence, x = 1 and y = 5 is the solution for the given equations 2x + y = 7 and 3x -2y = -7.
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Determine the value of x for which r ∥ s if
m∠1 = 40 – 4x; and
m∠2 = 50 – 8x
The choices are
2.5
2
30
1.5
Answer:
2.5
Step-by-step explanation:
If the scale factor is 5, how many times larger will the scaled copy's area be?
Answer:
25 times
Step-by-step explanation:
Scale factor is the ratio of dimensions of the image and the preimage.
Scale factor = \(\frac{\text{Side length of image}}{\text{Side length of preimage}}\)
Since area of a figure is the square of dimensions.
Area = Length × Width
Therefore, area scale factor will be the ratio of square of the dimensions of image and preimage.
Area scale factor = \(\frac{\text{Area of the image}}{\text{Area of the preimage}}\)
= (Scale factor)²
= 5²
= 25
Therefore, area of the image will be 25 times the area of the preimage.
Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one). 0.00 0° U U 1° oo U U 8 - 0 U 8|8 o 8
The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .
L'Hopital's Rule in calculus is used to evaluate weird limits that result in indeterminate forms that are 0/0, ∞/∞ . These types of limits
(a) cannot be calculated by direct substitution of limit and/or
(b) can be evaluated but using a very long procedure .
that means if \(\lim_{x \to a} \frac{f(x)}{g(x)}\) = 0/0 or ∞/∞ ,
then \(\lim_{x \to a} \frac{f(x)}{g(x)} = \lim_{x \to a} \frac{f'(x)}{g'(x)}\)
In the question ,
there are several indeterminant forms given which are 0.∞ , \(0^{0}\) , \(1^{\infty}\) , 0/0 , ∞ - ∞ , ∞/∞ , ∞⁰ .
By the definition of L'Hopital's Rule , the option that matches with the definition is 0/0 and ∞/∞ ,
So , the correct option is (d) 0/0 and (f) ∞/∞ .
Therefore , The indeterminant form to which the L'Hopital's Rule can be applied are 0/0 and ∞/∞ , the correct options are (d) and (f) .
The given question is incomplete , the complete question is
Select EVERY indeterminate form to which L'Hopital's Rule can be directly applied to (there may be more than one).
(a) 0.∞
(b) \(0^{0}\)
(c) \(1^{\infty}\)
(d) 0/0
(e) ∞ - ∞
(f) ∞/∞
(g) ∞⁰
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How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)
Answer:
2(4)-3+5
Step-by-step explanation:
8-3+5
13-3
10
Answer:
i would say a
Step-by-step explanation:
consider the r-vector space of infinitely-often differentiable r-valued functions c [infinity](r) on r. let d : c [infinity](r) → c[infinity](r) be the differential operator d : c [infinity](r) → c[infinity](r) , df = f 0 .
Differential operator d plays a central role in calculus, as it allows us to study the behavior of functions by analyzing their
The question pertains to the r-vector space of infinitely-often differentiable r-valued functions c [infinity](r) on r. In this context, d is the differential operator which maps each function in the space to its derivative.
Specifically, given a function f in c [infinity](r), d(f) is defined as the derivative of f, denoted by f 0.
The differential operator d is a linear transformation, as it satisfies the properties of additivity and homogeneity. Additionally, it is continuous, meaning that small changes in the input function will result in small changes in the output function.
Moreover, the space of infinitely-often differentiable functions c [infinity](r) is an important one in mathematics, as it is used in various areas such as analysis, geometry, and physics.
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Marking brainliest!
Is the number, 9812 divisible by 3? Yes or no
Answer:
no
Step-by-step explanation:
I goo.g.led, sorry me dum lol
Answer:
No, it is not divisble by 3.
Step-by-step explanation:
9812 divided by 3 is 3270.6666 repeating.
hope this helps :)
The rest of the choices are 4, 100, and 4.5. Please help me with this question. Thank you!
Answer: {-2, -0.5, -1.5, 0}
Step-by-step explanation:
The key things we need to recognize is that we are extracting the numbers covered by the red line. This line does not include all values from -2 to 4, though. The white dot means that part of the inequality is x < 4.
Therefore, the answer is every number that fits in the equality:
\(-2 \leq x < 4\)
This includes -2 and every number up to 4, but NOT 4.
I hope this helps, if you need anything explained let me know.
The Americans with Disabilities Act states that ramps must have an angle less than or equal to 4.8 degrees. Remember, a 4.8 degree angle in a right Americans with Disabilities Act requirements
The angle of elevation will this ramp have 5.74 degree.
What is Angle of Elevation?The angle of elevation is the angle created between the line of sight and the horizontal. The angle created is an angle of elevation if the line of sight is upward from the horizontal line.
The angle of elevation is the angle made by the line of sight and the horizontal when the object is above the level of the horizontal.
Given:
\(\theta_{max\) = 4.8 degree
Perpendicular = 2.5 feet
Using Trigonometry
sin \(\theta_{max\) = P/ H
sin 4.8 = 2.5/ H
0.084 = 2.5/ H
H= 2.5/ 0.048
H = 29.76.
Hence, 25 feet is not enough for the length of ramp .
Then, the Angle elevation should be
\(\theta\) = \(sin ^{-1}\)(2.5/25)
\(\theta\) = 5.74 degree
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The complete is shown below:
A builder needs to install a ramp to reach a door that is 2.5 feet off the ground.
Is 25 feet long enough for the straight line distance of the ramp to meet the requirements? What angle of elevation will this ramp have?
which settlers were taught by members of the powhatan confederacy to plant tobacco?
A. French settler.
B. Dutch settler.
C. British settler.
D. Spanish settler.
Answer: C. British settler
6th Grade Math 3.10 - 3.16 Assessm
6th Grade Math 3.10 - 3.16 Assessment
>>
How long is 10% of a 24-hour day?
O 2 hours
10 hours
12 hours
0 2.4 hours
s
What is the answer
Answer:
Step-by-step explanation:
10% of 24 hours = 0.10×24 hours = 2.4 hours
To shape service similar create and solve a proportion to find the value of X then find the measure of the unknown side
Answer:
x = 10
6x - 6 = 54
Step-by-step explanation:
The hypotenuse of both triangles are 63 and 6x - 6; the second longest sides are 49 (greater than 35) and 42 (greater than 30).
So our proportion:
63/(6x-6) = 49/42
Cross multiply
63*42 = 49*(6x-6)
2646 = 294x-294
2940 = 294x
x = 10
Double-check:
63/(6*10 - 6) = 49/42
63/(60 - 6) = 49/42
63/54 = 49/42
7/6 = 7/6
6x - 6 = 6(10) - 6 = 60 - 6 = 54
Please HELPPP!!!
Pleaseeeee
Step-by-step explanation:
isosceles triangle (|>) this but right side up
I'm currently freaking out right now. How long would it take me to get somewhere going 5 mph(on average) going to a place that is 6.2 miles away? I'm sneaking out tonight and i need to know what time to leave:) if you could leave an answer that actually helps, it would be appreciated
Answer:
31
Step-by-step explanation:
I think the correct answer is 31
How many more 4 digit even numbers than 4 digit odd numbers can be formed using only digits from the set (0,1,6)? Pls show working. Thx
\(36-18=18\)
So, 18 more.