An angle measures 40 degrees
What is the measure of its complement?
Answer:
50°
Step-by-step explanation:
Complementary angles sum to 90° , then
complement = 90° - 40° = 50°
Please helpp ASAP
100 points extra and brainleist
Step-by-step explanation:
C and D are the correct objectives
Rationalise the denominator of a+√4b/a-√4b where a is an integer and b is a prime number.
Simplify your answer
A2 + 4a√b + 4b
____________
A2-4b
By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\) we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
A radical or imaginary number can be removed from the denominator of an algebraic fraction by a procedure known as o learn more about . That is, eliminate the radicals from a fraction to leave only a rational integer in the denominator.
To rationalise multiply numerator and denominator with \(a+\sqrt{4b}\) where a is an integer and b is a prime number.
we get \(\frac{a+\sqrt{4b}}{a-\sqrt{4b}} * \frac{a+\sqrt{4b}}{a+\sqrt{4b}}\)
\(= \frac{(a+\sqrt{4b})^{2} }{a^{2} -(\sqrt{4b})^{2} }\)
by solving we get \(=\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
By rationalizing the Denominator of \(\frac{a+\sqrt{4b} }{a-\sqrt{4b}}\) we get \(\frac{a^{2} +2a\sqrt{4b} + 4b}{a^{2} -4b}\)
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(Proposition 2.4.10 is written as follows
Let dim(V) = dim(W). A linear transformation T: V -> W is injective if and only if it is surjective.)
5. Let V = P(R), the vector space of polynomials of all degrees. a) Define T: V→→ V by T(p(x)) xp(x). Is T injective, surjective, both, or neither? b) Define T: V→ V by T(p(x)) = d/dx(p(x)). Is T injective, surjective, both, or neither? c) Do your answers contradict Proposition (2.4.10)?
a) T(p(x)) = xp(x) is not injective. b) T(p(x)) = d/dx(p(x)) is neither injective nor surjective. The answers do not contradict Proposition 2.4.10 as the dimensions of V are the same in both cases.
a) In the case of T(p(x)) = xp(x), T is not injective. To see this, consider two polynomials p1(x) and p2(x) such that p1(x) ≠ p2(x). However, if we evaluate T(p1(x)) and T(p2(x)), we find that T(p1(x)) = xp1(x) and T(p2(x)) = xp2(x). Since the degree of a polynomial determines its term with the highest power, the polynomials p1(x) and p2(x) can have different degrees, resulting in different terms of highest power. Therefore, T(p1(x)) and T(p2(x)) can never be equal, and T is not injective.
b) For T(p(x)) = d/dx(p(x)), T is neither injective nor surjective. Taking the derivative of a polynomial changes its degree, so two different polynomials can have the same derivative. Therefore, T is not injective. Furthermore, not all polynomials have derivatives, such as constant polynomials. Hence, T is not surjective.
c) The answers do not contradict Proposition 2.4.10. The proposition states that a linear transformation T: V -> W is injective if and only if it is surjective when dim(V) = dim(W). However, in both parts a) and b), the vector space V is the same in the domain and codomain. Therefore, the dimensions of V in both cases are the same. However, the injectivity and surjectivity of T differ. Thus, the answers align with the proposition, as it does not guarantee that a linear transformation is both injective and surjective, only that they are equivalent conditions when the dimensions are the same.
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ANSWER ASAP!!! BRAINLIEST AWARDED
It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?
Answer:
10
Step-by-step explanation:
1:5
10:50
Answer:
10
Step-by-step explanation:
5 minutes = 1 area
→ Divide the 50 by the 5
50 ÷ 5 = 10
→ Multiply this by the area
10 × 1 = 10
Which number is rational?
Answer:
0.333...
Step-by-step explanation:
since it's forever repeating it still counts as rational
Circle E is inscribed with triangle B C D. LIne segment B D is a diameter. Line segments D C and C B are secants. Angle D B C is 51 degrees.
What is the measure of arc B C?
39°
78°
102°
129°
The measure of arc BC in circle E, inscribed in triangle BCD with angle DBC measuring 51 degrees, is 102°.
In a circle, an inscribed angle is equal to half the measure of its intercepted arc. Since BD is a diameter, angle DBC is a right angle, and the intercepted arc BC is a semicircle. Therefore, the measure of arc BC is 180°.
However, we are given that angle DBC measures 51 degrees. In an inscribed triangle, the measure of an angle is equal to half the measure of its intercepted arc. So, angle DBC is half the measure of arc BC, which means arc BC measures 2 times angle DBC, or 2 * 51° = 102°.
Hence, the measure of arc BC is 102°.
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Inscribed circle E is formed by triangle BCD, with BD as the diameter. DC and CB are secants, and angle DBC is 51 degrees. We need to find the measure of arc BC.
When a triangle is inscribed in a circle, the measure of an angle formed by two secants that intersect on the circle is half the measure of the intercepted arc.
In this case, angle DBC is 51 degrees, which means the intercepted arc BC has twice that measure. Therefore, the measure of arc BC is 2×51=102 degrees.
To understand why this relationship holds, we can use the Inscribed Angle Theorem. According to this theorem, an angle formed by two chords or secants that intersect on a circle is equal in measure to half the measure of the intercepted arc.
In our scenario, angle DBC is formed by secants DC and CB, and it intersects the circle at arc BC. According to the Inscribed Angle Theorem, angle DBC is equal to half the measure of arc BC.
Hence, if angle DBC is 51 degrees, the measure of arc BC is twice that, which gives us 102 degrees.
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please help me with question 1 and 2.
Answer:
1 cone
Step-by-step explanation:
2. rectangular prism
Answer:
the first one is a cone
Step-by-step explanation:
the second one is a rectangular prism
Find the maximum rate of change of f at the given point and the direction in which it occurs.
f(s,t)= te^(st), (0,2)
The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.
How to find maximum rate of change?To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.
By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.
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In the equation 6x-2=4x+2, spencer claims
Step-by-step explanation:
6x-2=4x+2
6x-4x=2+2
2x=4
X=4/2
X=2
x^2 =1/100 what is t
he solutions to the equation
Answer:
the solution is X=-1/10 X=1/10
Step-by-step explanation:
Refer to the vectors m through t at the right Name all groups of vectors that appear to be equal Choose the correct answer below OA, mand p, n and r OB, m,o' p and qin, r, and s O C. n and r, m, p, and t O D. m and p: p and q; m and q n and r; n and s; s and r Click to select your answer Save for Later /171717-17171717-1/1/1/1/17:ハハハハハハハハハハハハハハー 米 19 8 5 6
Vectors that appear to be equal is OB, m, o', p and qin, r, and s.
Let's discuss it further below.
In this question, vectors m through t are given in the figure. There are eight vectors: m, n, o, o', p, q, r, and s. The question asks to identify the groups of vectors that appear to be equal.
From the given figure, we can see that m and o' are parallel to each other and are of the same length. Thus, they are equal to each other. Also, vectors p and q are parallel to each other and are of the same length. So, they are equal to each other. Thus, we can conclude that m, o', p, and q are equal to each other.
Then, vectors n and r are parallel to each other and are of the same length. Thus, they are equal to each other. Also, vectors r and s are parallel to each other and are of the same length. So, they are equal to each other. Thus, we can conclude that n and r and s and r are equal to each other.
Therefore, the groups of vectors that appear to be equal are OB, m, o', p and qin, r, and s.
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Mrs. Perry is taking a group of students to the Clark Planetarium where tickets cost $7 each. The bus will cost $50 and she has a budget of $200. How many people can attend under these constraints?
What’s the answer to this?
Answer:
I would say the answer is c p=6n+18 because im thinking you are dealing with input-output
Step-by-step explanation:
Parallel lines r and s are cut by two transversals, parallel lines t and u
10 points
Angles corresponding with ∠8 are ∠4 and ∠12.
Define corresponding angleIn geometry, corresponding angles are angles that are in the same relative position at the intersection of two lines when a third line crosses them. When two lines are intersected by a third line, they form pairs of corresponding angles that are congruent, meaning they have the same measure.
In the given figure;
Lines r,s,t and u are parallel lines.
Angles ∠8 and ∠12 are in corresponding angle ( line t and u are parallel ands line intersect it)
Angle ∠4 and ∠8 are corresponding angle (line r and s are parallel and t line intersect it)
Hence, Angles corresponding with ∠8 are ∠4 and ∠12.
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Correct to 2 decimal places, the volume of a solid cube is 3.37 m³. Calculate the upper bound for the surface area of the cube.
the upper bound for the surface area of the cube. is 14 m².
Volume of cube = 3.37 m³
We know the formula is:
V = a³ (where a is the side of the cube)
a³ = 3.37 m³
Cube rooting both the sides, we get that:
a = ∛3.37 m
Surface area will be:
A = 6 a²
A = 6 (∛3.37 m)²
A =6 (2.25 m²)
A = 13.5 m²
A ≈ 14 m²
Therefore, we get that, the upper bound for the surface area of the cube. is 14 m².
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Brainlyest goes to the right answer
please answer
4. Suppose that for 3MA Forecast, my Mean Absolute Deviation (MAD) is \( 3.0 \) and my Average Error (AE) is \( -2.0 \). Does my forecast fail the bias test? a. Yes b. No
The answer is: a. Yes, the forecast fails the bias test.
To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.
If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.
In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.
Therefore, the answer is:
a. Yes, the forecast fails the bias test.
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What is 5/8 divided by 15 equal
Answer:
0.04166666666 i think
Step-by-step explanation:
The number of a two dollar bill i need to pay for a purchase is 9 more than the number of 5 dollar bills i need to pay for the same purchase what is the cost of the purchase?
Answer:
$60
Step-by-step explanation:
Let's say we need t $2 bills and v $5 bills.
We need 9 more $2 bills than $5 bills, so:
t = 9 + v
We also know that the amount of money in t $2 bills is 2 * t = 2t. The amount of money in v + 9 $5 bills is 5 * (v + 9) = 5v + 45. These amounts are equal:
5v + 45 = 2t
Plug v + 9 in for t in 5v = 2t + 18:
5v = 2t + 18
5v = 2 * (9 + v) + 18
5v = 18 + 2v + 18
3v = 36
v = 12
We have 12 $5 bills, so that total cost is 12 * 5 = $60.
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What term is used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained
Answer : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics
Explanation : The term used for statistical techniques that use sample data to draw conclusions about the population from which the sample was obtained is called inferential statistics.
Inferential statistics are used to make generalizations or predictions about a population based on the analysis of a sample.
This is done by taking a sample from the population and using statistical methods to analyze the sample data, which then allows us to make inferences about the population as a whole.Inferential statistics play a crucial role in scientific research, as they allow researchers to draw conclusions about the characteristics of a population based on a representative sample of that population. In order for the inferences to be valid, it is important to ensure that the sample is representative of the population in question.In conclusion, inferential statistics is a powerful tool that allows us to draw meaningful conclusions about populations based on sample data. It is important to use appropriate statistical methods to ensure that the inferences we draw are valid.
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L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 b.Explain the value of each digit in your answer to 1(a) using place value terms.
Answer: $5.5
Step-by-step explanation:
Here is the complete question:
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. Altogether, they sold 486 items that totaled $2,673 a. If the chess club sold each item for the same price, calculate the price of each item. b. Explain the value of each digit in your answer to a using place value terms
Item sold = 486
Total amount = $2673
Price of each item = Total amount/items sold
= 2673/486
= $5.5
Each item costs $5.5.
5.5 = 5 units and 5 tenths.
The first number after the decimal point by the right is the tenths.
someone be a real one and finish this... plz
Answer:
y + 21 = - 4(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)
m = \(\frac{23+21}{-4-7}\) = \(\frac{44}{-11}\) = - 4
Using m = - 4 and (a, b) = (7, - 21), then
y - (- 21) = - 4(x - 7), that is
y + 21 = - 4(x - 7)
which of the graphs shown below represents the base function f(x)=x^2 and the stretched function g(x)=-7/2x^2
Which table represents a linear function?
Answer:
The first one (x=1 and y=1/2)
Step-by-step explanation:
The first table is the only one that has a constant rate of change. The x value increases by 1, and the y value increase by 1/2.
Hope this helped :)
Answer:
The first one where x increases by 1 and y increases by 1/2.
Step-by-step explanation:
To find the equation, 1/2=1+b
Solve for b
1/2-1=-0.5
B=-0.5
Now, solve for x
1/2=x-0.5
As you can already see in the table, x increase by 1, so no need to even solve.
The equation would be y=1x-0.5 (I’ll post the graph in the picture to prove it is linear.
A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable yy is 1 and the degree of variable x is 1.
What is the value of (ΣX)2 for the scores 1, 5, 2?(PLEASE EXPLAIN)10163064
The value of (ΣX)² for the scores 1, 5, 2 is:
64
It is the representation of the sum of infinite or many values. And it is represented by the following symbol:
∑xi
The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.
Steps to follow:
Step 1: Find the summation of the scores.
ΣX = 1 + 5 + 2 = 8
Step 2: Square the summation.
(ΣX)² = 82 = 64
Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.
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Divide.
3.9 ÷ 100,000
Enter your answer as a decimal in the box.
i dont know what to do here
Answer: 0.000039
Step-by-step explanation: i us calculator
Answer:
0.000039.
Step-by-step explanation:
3.9 / 100,000
Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)
filling in the zeroes as you move alomg.
So its 0.000039
what is the nominal ordinal interval ratio?
Nominal, ordinal, interval, and ratio are measurement scales used in statistics to categorize and rank data.
Nominal, ordinal, interval, and ratio are four sorts of information estimation scales utilized in measurements.
Nominal scales are utilized to mark or classify information into particular gatherings, where each gathering is fundamentally unrelated and altogether comprehensive. Instances of ostensible information incorporate orientation, race, and occupation.
Ordinal scales include positioning information in a particular request, however the distinctions between values are not significant. Instances of ordinal information incorporate positioning motion pictures in view of their prominence or understudy execution on a test.
interval scales include positioning information in a particular request, however the distinctions between values are significant, and there is no obvious zero point. Instances of stretch information incorporate temperature, intelligence level scores, and time.
ratio scales are like span scales, however they have a genuine zero point, implying that values can be duplicated and partitioned. Instances of proportion information incorporate weight, level, and pay.
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The complete question is:
what is the nominal, ordinal, interval and ratio?
Use the equation below to find a, if b = 10 and c= 8. a=32-b-c
Answer:
a=14
Step-by-step explanation:
a= 32- (10) - (8)
a= 32-10-8
a=14
how many constant terms are in n²÷3+6n
Answer:
3
Step-by-step explanation: