Answer: SSS
Step-by-step explanation:
SSS or Side-Side-Side postulate means that the 2 triangles have all 3 of their sides to be congruent.
Side AB is congruent to side DE
Side BC is congruent to side EF
Side AC is congruent to side DF
Nicole drove 275 miles in 5 hours. At the same rate, how long would it take her to drive 605 miles?
Answer:
i think its 12 hours
Step-by-step explanation:
use calculator
Calculate the mean of 59,91,87,64,84
Answer:
75.25Step-by-step explanation:
The mean is: 75.25
Hope this helps
Find the solutions to the equation 102x 11 = (x 6)2 – 2. which values are approximate solutions to the equation? select two answers. –9.6 –7.4 –4.6 –2.4 0.6
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
The quadratic equation is given below.
102x + 11 = (x + 6)² – 2
Open square, we have
102x + 11 = x² + 12x + 36 – 2
x² – 90x + 23 = 0
By the formula, we have the value of x
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{90 \pm \sqrt{(-90)^2}-4*1*23}{2*1}\\\\x = 89.74, 0.256\)
The approximate soluton of the equation 102x + 11 = (x + 6)² – 2 is 0.6. Then the correct option is E.
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Answer:
A and D just did on edge
Step-by-step explanation:
A company sells widgets. The amount of profit, y, made by the company, is the selling price of each widget, x, by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y = -x^2+ 101x – 900
We want maximum profit, which is the max value of y.
We basically want for which x value, we have y as the maximum.
First,
let's take the derivative of y:
\(\begin{gathered} y=-x^2+101x-900 \\ y^{\prime}=-2x+101 \end{gathered}\)Maximum is when the derivative is equal to 0. So, the x-value when derivative is 0:
\(\begin{gathered} y^{\prime}=-2x+101 \\ 0=-2x+101 \\ 2x=101 \\ x=\frac{101}{2} \\ x=50.5 \end{gathered}\)To get max profit, the widgets should be sold at $50.50
Which of the following requires the use of implicit differentiation to find dy ? dx A. 2y+3x² - x = 5 B.y=e8+*+r C. y = ex+y + x x + 3 4x-2 D. y = dy
Option C, y = e^(x+y) + x^2 + 3x - 2, requires the use of implicit differentiation to find dy/dx.
The expression that requires the use of implicit differentiation to find dy/dx is option C: y = e^(x+y) + x^2 + 3x - 2.
Implicit differentiation is a technique used to differentiate equations where the dependent variable y is not explicitly expressed as a function of x. It involves differentiating both sides of the equation with respect to x, treating y as an implicit function of x.
Let's apply implicit differentiation to option C:
Starting with the equation: y = e^(x+y) + x^2 + 3x - 2
To find dy/dx, we differentiate both sides of the equation with respect to x:
d/dx(y) = d/dx(e^(x+y) + x^2 + 3x - 2)
Using the chain rule on the right side of the equation, we get:
dy/dx = d/dx(e^(x+y)) + d/dx(x^2) + d/dx(3x) - d/dx(2)
The derivative of e^(x+y) with respect to x requires the use of implicit differentiation. We treat y as an implicit function of x and apply the chain rule:
d/dx(e^(x+y)) = e^(x+y) * (1 + dy/dx)
The derivatives of the remaining terms on the right side are straightforward:
d/dx(x^2) = 2x
d/dx(3x) = 3
d/dx(2) = 0
Substituting these derivatives back into the equation, we have:
dy/dx = e^(x+y) * (1 + dy/dx) + 2x + 3
Next, we isolate dy/dx on one side of the equation by moving the term involving dy/dx to the left side:
dy/dx - e^(x+y) * dy/dx = e^(x+y) + 2x + 3
Factoring out dy/dx, we get:
(1 - e^(x+y)) * dy/dx = e^(x+y) + 2x + 3
Finally, we solve for dy/dx:
dy/dx = (e^(x+y) + 2x + 3) / (1 - e^(x+y))
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3 = [?]
60°
120° 60°
7. call a positive integer an uphill integer if every digit is strictly greater than the previous digit. for example, 1357,89 , and 5 are all uphill integers, but 32,1240, and 466 are not. how many uphill integers are divisible by 15 ?
Answer:
6
Step-by-step explanation:
You want to know the number of uphill integers divisible by 15, where an uphill integer is one that has its digits strictly increasing.
Divisible by 15An integer will be divisible by 15 if and only if it is divisible by 3 and 5. An integer is divisible by 5 if it ends in 5 or 0. An uphill integer cannot end in 0, so must end in 5.
An integer is divisible by 3 if the sum of its digits is divisible by 3
Uphill integersAn uphill integer will have differences between successive digits that are positive integers. In order for the final digit to be 5, the sum of these differences must be 5. Hence we can find uphill integers by considering the "integer partitions" of 5: the sets of positive integers whose total is 5. Those sets would be ...
{5}, {4, 1}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, {1, 1, 1, 1, 1}
Uphill integers will also have digit differences that are some permutation of each of these sets. For example, the digit differences may be {4, 1} or {1, 4}, corresponding to the numbers 45 or 15.
The uphill integers that end in 5 are ...
5, 45, 15, 35, 25, 345, 145, 125, 245, 235, 135, 2345, 1345, 1245, 1235, 12345
Divisible by 3We already know each of these is divisible by 5. The ones that have a digit total that is a multiple of 3 are ...
15, 45, 135, 345, 1245, 12345
There are 6 uphill integers divisible by 15.
What is the value of x in 2 5 )= 14?
The value of x in 2(5x)=14 is 1 2/5.
Define mixed fraction.A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
How to convert mixed fraction to improper fraction?When converting a mixed fraction to an improper fraction, the denominator and the whole number are multiplied, the product is added to the numerator, and the sum is written as the numerator and denominator.
2(5x) = 14
10x = 14
x = 14/10
Simplify the fraction, by turning it into a mixed number.
x = 1 4/10
Simplify the equation by dividing it by 2, so that it is in simplest form.
x = 1 2/5
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HELP!!!! circle is centered at the point (5, -4) and passes through the point (-3, 2). The equation of this circle is (x +___ )2 + (y +___- )2 = ____
Answer:
(x -5)^2 +(y +4)^2 = 100
Step-by-step explanation:
The equation of a circle with center (h, k) that passes through point (a, b) is ...
(x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2
For your given points, the equation is ...
(x -5)^2 +(y +4)^2 = (-3-5)^2 +(2+4)^2 = 64 +36
(x -5)^2 +(y +4)^2 = 100
Step 2 Solve for s
Please give an explanation after.
Answer:
[see below]
Step-by-step explanation:
In the provided screenshot, the value of r is 2.5.
We would replace 'r' with 2.5 and then make 's' the subject of the equation.
\(2r + 3s = 14\\\rule{150}{0.5}\\2(2.5) + 3s = 14 \leftarrow \text {This would go in the first blank.}\\\\5 + 3s = 14 \leftarrow \text {This would go in the second blank.}\\\\3s + 5 = 14\\\\3s + 5 - 5 = 14 - 5\\\\3s = 9 \leftarrow \text {This would go in the third blank.}\\\\\frac{3s=9}{3}\\\\\boxed{s = 3} \leftarrow \text {This would go in the fourth blank.}\)
Hope this helps you.
one of the subsets of set n and set g is a Ø true or false?
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
An empty set is subset of each and every possible set, as it has no elements in it, which is why the given statement is " True "
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level.a. Trueb. False
If the same condition is described as both acute and chronic and separate subentries exist in the icd-10-cm alphabetic index at the same indentation level is True
What is alphabetical index?
An alphabetical index, often known as an index, is a list of words or phrases that appear frequently in a text and which, if listed alphabetically, may assist readers in finding information more quickly.
What is indentation level ?
The much-despised formatting method of indentation gives readers a sense of continuity.
Reasons:
The Alphabetic Index's sub term entries and the Tabular List's inclusion and exclusion notes can both be used to find combination codes.
Only use the combination code when it accurately describes the diagnostic conditions in question or when the Alphabetic Index instructs you to. When the categorization offers a combination code that unambiguously identifies all of the components listed in the diagnosis, multiple coding shouldn't be employed. An additional code should be utilised as a secondary code when the combination code does not provide the requisite specificity in characterising the symptom or problem.
The statement is True
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6= -2/3n pls someone help
Answer:
n=-9
Step-by-step explanation:
Given:
AC‾ \overline{AC}
AC
and
BD‾\overline{BD}
BD
bisect each other.
Prove:
△BEC≅△DEA\triangle BEC \cong \triangle DEA
△BEC≅△DEA.
As a result of angle-angle-side (AAS) alignment, we have ABO, DBO, and AEO, CEO.
To prove △BEC≅△DEA:
First, we can see that segment AC and segment BD intersect at point O, which is the point of intersection of the angle bisectors of △BED.
Since AC and BD are angle bisectors, they are perpendicular bisectors of each other, so they divide the angles of △BED into congruent angles.
This means that angle ABO is congruent to angle DBO, and angle AEO is congruent to angle CEO.
Since angle ABO and angle AEO are vertical angles, they are congruent.
Similarly, angle DBO and angle CEO are vertical angles, so they are congruent.
Therefore, we have △ABO≅△DBO and △AEO≅△CEO by angle-angle-side (AAS) congruence.
Since BE is common to both triangles, we can conclude that △BEC≅△DEA by side-angle-side (SAS) congruence.
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Consider the following function and express the relationship between a small change in x and the corresponding change in y in the form dy = f '(x)dx. fx)=2x^3 -2x. Consider the following function and express the relationship between a small change in x and the corresponding change in y in the form dy = f '(x)dx. f(x)=tan 11x
Final Answer: The small change in x and corresponding change in y is \(dy = (6x^2-2)dx\)
dy = ((sec^211x)*11) dx
f(x) = \(2x^3-2x\)
Here we can consider y as function of x so y=f(x).
Derivative is nothing but rate of change i.e. small change in y with respect to x when y is function of x.
\((dy/dx )= 6x^2-2\)
\(dy = (6x^2-2)dx\)
Second function here is f(x) = tan11x
Here also we will consider y as function of x
here we need to apply chain rule multiple of x is there.
so \((dy/dx) = (sec^211x)*11\)
\(dy = ((sec^211x)*11) dx\)
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what are all the digests of pie after 3.141592653589793238462643383279?
Answer:
50288419716939937510.... and so on.
Pi is a never ending number, so it goes on and on forever.
Step-by-step explanation:
Hope it helps! =D
What is the Slope of the line that passes through points (4, -2) and (3, 1)?
Answer:
-3
Step-by-step explanation:
slope formula is y2-y1 over x2-x1
if we plug in the values and solve, that gets you -3.
Answer:
-3
Explanation:
1-(-2) divided by 3-4
Find the missing side.
X
11
7 x = [?]
Round to the nearest tenth.
Enter
A right angled triangle with height = 7, base = 11, by using the Pythagorean theorem, we can calculate the hypotenuse is approximately 13. Therefore, the missing side, x = 13.
In a right angled triangle, using the Pythagorean theorem: sum of the squares of the base and height is equal to the square of the hypotenuse, we can find the hypotenuse x.
\(x^2 = 7^2 + 11^2\)
\(x^2 = 49 + 121\)
\(x^2 = 170\)
Taking the square root of both sides, we get:
x ≈ 13.0384
Rounding this to the nearest tenth, we get:
x ≈ 13.0
Therefore, the length of x is approximately 13.0 units (rounded to the nearest tenth).
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a student scores 68 on a geography test and a 249 on a mathematics test. the geography test has a mean of 80 and a standard deviation of 10. the mathematics test has a mean of 300 and a standard deviation of 34. if the data in both tests are distributed equally, which test did the student do better one?
The student did better in the test of Geography.
What is Standard Deviation ?The standard deviation is a measure of the amount of variation or dispersion of a set of values.
To solve this question, we will use the z-score formula to find the w test in which the student scored better. The z-score formula is;
z = (x - μ)/σ
Now, for Geography we have given :
Test score (x) = 68
Mean (μ) = 80
Standard deviation (σ) = 10
Thus, the z-score here will be :
z = (68 - 80)/10
z = -1.2
Similarly, for Mathematics we have given :
Test score (x) = 249
Mean (μ) = 300
Standard deviation (σ) = 34
Thus, the z-score here will be :
z = (249 - 300)/34
z = -1.5
Since the z-score for Geography is less than that of Mathematics, thus, we can conclude that the Geography test is the one in which the student scored better.
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30.94÷0.7=?? with explanation
The value of the quotient when 30.94 is divided by 0.7 will be 44.2
Division of numbersDividing two numbers involves obtaining the number of times the denominator value can be obtained from the numerator.
Here, the numerator is 30.94 and the denominator is 0.7
To make things easier, we can convert the values to whole numbers by multiplying the values by 100
30.94 × 100 = 3094
0.7 × 100 = 70
Hence, Using a calculator ;
3094 / 70 = 44.2
The quotient value would be 44.2
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The equation r=3c +5 represents the values shown in the table below C- 6, 8, 12, 18 R- 23, 29, ?, 59 What is the missing value in the table?
C: 41 is the missing value in the table
Kiki works in a furniture store. Her base salary is $150 per day, plus 8 percent commission on her sales. She sells several high-priced items.
A 3-column table with 3 rows. Column 1 is labeled Day with entries 1, 2, 3. Column 2 is labeled Item with entries sofa chair, loveseat, couch. Column 3 is labeled Price with entries 350 dollars, 500 dollars, 1,200 dollars.
What is the total amount she earned over these three days?
$
the answer is 614.
sorry if u didn’t get it right
Answer:614
Step-by-step explanation:did the test
{(5,1),(-5,4),(6,2),(-6,8),(-5,3)}
Domain:
Range:
Function? Yes or No
Justify:
Answer:
so the Domain:
{5, -5, 6,−6}
Range: {1,4,2,8,3}
functon no
Since x=−5 produces y=4 and y=3, the relation (5,1),(−5,4),(6,2),(−6,8),(−5,3)is not function.
Step-by-step explanation:
domain is normally x and range in most the time y, this is what i was taught and i hope it helps and is right
1. Represent the following signals: a) a(t)=-u(-t-2) (1 v.) b) b(t)=(t+1).[u(t+3)-u(t-3)] (1 v.) c) d) c(t)=a(t)+b(t) (1 v.) d(n)=u(-n+2) (1 v.)
a) The signal a(t) = -u(-t-2) can be represented as a step function that is activated at t = -2 and has a value of -1 for t < -2 and 0 for t > -2.
b) The signal b(t) = (t+1)[u(t+3)-u(t-3)] can be represented as a ramp function that starts at t = -1 and increases linearly until t = 3, then remains constant for t > 3.
The value of the ramp is 0 for t < -1, (t+1) for -1 ≤ t < 3, and 4 for t ≥ 3.c) The signal c(t) = a(t) + b(t) is the sum of signals a(t) and b(t). It can be represented as the combination of the step function and the ramp function described above.
d) The signal d(n) = u(-n+2) can be represented as a discrete unit step function that is activated at n = 2 and has a value of 1 for n ≤ 2 and 0 for n > 2. It is a discrete version of the step function where time is replaced by the discrete variable n.
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Malik and Nora are playing a video game.
Malik starts with m points and Nora starts n points.
Then Malik gets 150 more points, while Nora loses 50 points.
Finally, Nora gets a bonus and her score is doubled.
Nora now has 50 more points than Malik.
Enter an equation that represents the relationship between m and n
given the information above.
Answer:
Equation below
Step-by-step explanation:
An equation that represents the relationship between m and n is 2(n - 150) - (m + 150) = 50 .
The expression that represents Malik's score after he gets 150 points = m + 150
The expression that represents Nora's score after she loses 50 points = n - 150
Nora's score after her score is doubled = 2(n - 150)
The difference between Nora and Malik's score is 50. This can be represented as: 2(n - 150) - (m + 150) = 50
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What is 2 times 2? It would be really helpful.
Answer:
2*2=4
Step-by-step explanation:
Complete the table. In the row with X as the input write the rule as an algebraic expression for the output then complete the last row of the table using the rule. Express the values in your answers as decimals
The last two rows of the table should be completed as follows:
Input Output
8 22.80
10 28.50
What is algebraic expression?An algebraic expression is a mathematical phrase that contains numbers, variables, and operations. It is used to represent a single quantity or value, and can be written in terms of one or more variables.
The rule given is an algebraic expression, x, which is the input, multiplied by 2.85, which is the output. Using this information, we can determine the cost of 10 muffins.
To find the cost of 10 muffins, we can use the algebraic expression given. First, we will multiply 10, the number of muffins, by 2.85, the cost of one muffin. This gives us a total of 28.50. Therefore, the cost of 10 muffins is 28.50.
Using this same rule and process, we can also determine the cost of any number of muffins. For example, if we want to know the cost of 15 muffins, we can simply multiply 15 by 2.85, giving us a total of 42.75.
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Please provide the answer and an explanation.
Answer:
A = 37.1 square cm
Step-by-step explanation:
Composite Figures
The image shows a figure that can be seen as a composition of three regular shapes: two identical rectangles and a quarter of a circle.
The area of a rectangle of dimensions W and L is:
Ar = WL
And the area of a circle of radius r is:
\(Ac =\pi r^2\)
A quarter of a circle has an area of:
\(\displaystyle A_q =\frac{\pi r^2}{4}\)
The rectangles have dimensions of 5 cm by 3 cm, thus the area is:
Ar = 5 cm * 3 cm = 15 square cm
The quarter of a circle has a radius of r=3 cm, its area is:
\(\displaystyle A_q =\frac{\pi 3^2}{4}\)
Calculating:
\(\displaystyle A_q =7.07\text{ square cm}\)
The total area is twice the area of each rectangle plus the area of the quarter of a circle:
A = 2*15 + 7.07
A = 37.07 square cm
To the nearest tenth:
A = 37.1 square cm
Which function has the following domain and range?
Domain: {-12, - 7, 0, 4, 12}
Range: {0, 1, 2}
O {(-12, 12), (0, 2)}
O {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
O {(-12, 0), ( – 7, 1), (0, 2), ( – 4, 5), (3, -1)}
O {(0,4), (2, 12), (1, -7), (0, - 12), (1, 0)}
Answer:
im think the answer is the first?
Answer: B. {(4, 1), (-7, 0), (12, 2), (0, 0), ( − 12, 1)}
Step-by-step explanation:
I got it right on the test
Reparametrize the curve with respect to arc length measured from the point where t = 0 in the direction of increasing t. (Enter your answer in terms of s.) r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k .... Please show complete answer
To reparametrize the curve with respect to arc length, we need to find the arc length function s(t) and then invert it to get t(s). Then we can substitute t(s) into the original curve to get a new parametrization in terms of arc length.
First, we need to find the arc length function s(t). The arc length of a curve r(t) from t=a to t=b is given by the formula:
s(b) - s(a) = ∫[a,b] ||r'(t)|| dt
where ||r'(t)|| is the magnitude of the derivative of r(t) with respect to t. In this case, we have:
r(t) = e^(2t) cos(2t) i + 4 j + e^(2t) sin(2t) k
r'(t) = 2e^(2t) cos(2t) i - 2e^(2t) sin(2t) j + 2e^(2t) cos(2t) k
||r'(t)|| = √( (2e^(2t) cos(2t))^2 + (-2e^(2t) sin(2t))^2 + (2e^(2t) cos(2t))^2 )
= 2e^(2t) √( cos^2(2t) + sin^2(2t) + cos^2(2t) )
= 2e^(2t) √( 2cos^2(2t) + 1 )
Now we can integrate ||r'(t)|| with respect to t:
s(t) = ∫[0,t] ||r'(u)|| du
= ∫[0,t] 2e^(2u) √( 2cos^2(2u) + 1 ) du
This integral does not have a closed-form solution, so we need to use numerical methods to compute it. We can use the trapezoidal rule with a small step size Δt to get an approximation:
s(t) ≈ ∑[k=1,n] ( Δt/2 ) [ ||r'(t_k)|| + ||r'(t_{k-1})|| ]
where t_k = kΔt and n = t/Δt.
Now we need to invert s(t) to get t(s). Since s(t) is an increasing function of t, its inverse t(s) exists and is also an increasing function. We can use the bisection method or Newton's method to find t(s) numerically.
Finally, we can substitute t(s) into the original curve r(t) to get the new parametrization in terms of arc length:
r(s) = e^(2t(s)) cos(2t(s)) i + 4 j + e^(2t(s)) sin(2t(s)) k
Note that this is an implicit formula for r(s), since t(s) is itself a function of s.
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