Answer:
7.9
Step-by-step explanation:
hmu if u need more help
Answer:
7.9
Step-by-step explanation:
The square root of 62 is 7.874007874011811
Rounded to the nearest tenth is 7.9
x2+4x=96 find the roots by completing the sqaure
we want to distribute 7 flyers to 10 different mailboxes. how many ways can we do that if
There are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
If we are allowed to put at most one flyer per mailbox and the flyers are identical, this problem involves distributing identical objects into distinct containers. The solution can be obtained using the stars and bars method.
We can represent the distribution of flyers as 7 stars (representing the flyers) and 9 bars (representing the dividers between the mailboxes). The number of ways to distribute the flyers is equal to the number of ways to arrange the 7 stars and 9 bars, which is given by the binomial coefficient:
${{7 + 9}\choose{9}} = {{16}\choose{9}} = \frac{16!}{9!7!} = 11440$
Therefore, there are 11,440 ways to distribute 7 identical flyers into 10 different mailboxes, where each mailbox receives at most one flyer.
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The question is incomplete but probably the full question is:
We want to distribute 7 flyers to 10 different mailboxes. How many ways can we do that if (a) We put at most one flyer per mailbox and the flyers are identical?
What is the slope of the line in the graph?
-4/3
-3/4
3/4
4/3
Answer:
-3/4
Step-by-step explanation:
If you take two points, the rise is 3. Also, the change in y is 4. Since the line is going downwards from left to right, it has to be negative.
On line A, each time x increases by 1 y increases by A) .5 B) 1 C) 1.5 D) 2
Answer:
b
Step-by-step explanation:
Use a unit circle and 30^{\circ}-60^{\circ}-90^{\circ} triangles to find the value in degrees of each expression.
tan⁻¹√3
The value in degrees of tan⁻¹√3 can be found using a unit circle and 30°-60°-90° triangles. The main answer is that tan⁻¹√3 is equal to 60°.
To explain further, let's consider the unit circle and the trigonometric ratios associated with it. The tangent (tan) of an angle is defined as the ratio of the y-coordinate to the x-coordinate of the point where the terminal side of the angle intersects the unit circle.
In this case, we are looking for the angle whose tangent is √3. In a 30°-60°-90° triangle, the ratio of the length of the opposite side to the length of the adjacent side is √3. Since tangent is equal to the ratio of the opposite side to the adjacent side, we can conclude that tan⁻¹√3 is equal to the angle opposite the side with a length of √3 in the 30°-60°-90° triangle.
In the 30°-60°-90° triangle, the angle opposite the side with a length of √3 is 60°. Therefore, the value in degrees of tan⁻¹√3 is 60°.
Using the unit circle and the properties of the 30°-60°-90° triangle, we can determine the exact value of the angle whose tangent is √3. By understanding the ratios and relationships within these geometric configurations, we can identify that the corresponding angle is 60°.
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What is negative 5/4 + negative 5/4?
students are conducting an experiment to determine if the amount of sunlight affects the size of clover leaves. they plant clover in two identical pots, placing one next to a window and one inside a cupboard. they water each pot daily with 10 ml of water. which is the independent variable?
In the experiment, the independent variable is the amount of sunlight received by the clover plants.
The amount of sunlight the clover plants receive throughout the experiment serves as the independent variable, as it is being manipulated by the experimenters to determine its effect on the size of the clover leaves.
The dependent variable is the size of the clover leaves, which is being measured as a result of the change in the independent variable (amount of sunlight). The water is a controlled variable, as it is kept constant across both conditions to eliminate its effect on the outcome.
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the classical decision-making model assumes that managers have all of the information they need in order to make the optimum decision. true or false
The given statement "The classical model of decision making assumes that managers have all of the information they need in order to make the optimum decision." is false because it is not necessary that they have all information.
The classical decision-making model assumes that managers have access to all the relevant information, but it does not necessarily assume that they have all the information they need to make the optimum decision.
The model also assumes that the decision-maker is rational and logical, able to identify and evaluate all alternatives and select the best one based on a careful analysis of the pros and cons of each option. However, in practice, managers may not have access to all the information they need, or they may be influenced by biases or external pressures that can lead to suboptimal decision-making.
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Write Polynomial in a standard form.
7x-5-x^3+6x^4-3x^2
Research has shown that competent communicators achieve effectiveness by
a. using the same types of behavior in a wide variety of situations.
b. developing large vocabularies.
c. apologizing when they offend others.
d. giving lots of feedback.
e. adjusting their behaviors to the person and situation.
Research has shown that competent communicators achieve effectiveness by adjusting their behaviors to the person and situation (option e).
Effective communication involves being adaptable and responsive to the specific context, individual preferences, and the needs of the situation.
Competent communicators recognize that different people have different communication styles, preferences, and expectations. They understand the importance of tailoring their communication approach to effectively connect and engage with others.
This may involve using appropriate language, tone, non-verbal cues, and listening actively to understand the needs and perspectives of others.
By adapting their behaviors, competent communicators can build rapport, foster understanding, and promote effective communication exchanges. They are mindful of the social and cultural dynamics at play, and they strive to communicate in a way that is respectful, inclusive, and conducive to achieving mutual goals.
In summary, competent communicators understand that effective communication is not a one-size-fits-all approach. They adjust their behaviors to the person and situation, demonstrating flexibility and adaptability in order to enhance communication effectiveness.
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Competent communicators achieve effectiveness mostly by adjusting their behaviors to suit the person they are communicating with and the situation they find themselves in. While other factors, like having a broad vocabulary or giving feedback, play a part in effective communication, the former is considered the most crucial.
Explanation:Research suggests that competent communicators achieve effectiveness mostly through adjusting their behaviors depending on the person they are communicating with and the situation they are in. This is option e. of your question. Communicating effectively involves behaviors like active listening, understanding the other person's point of view, being able to express thoughts and ideas clearly, and being polite and respectful. While a broad vocabulary (option b.) can be useful, it is not as crucial as adapting your behavior to fit the situation. Moreover, giving feedback (option d.) is a part of effective communication but not the sole defining factor. Apologizing when offending others (option c.) is also important but it doesn't necessarily make one a competent communicator. Using the same type of behavior in various situations (option a.) might not always work, as different situations and individuals require different communication styles.
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6 + (9-3) 2 the two is an indice! meaning it's like to the power of two or whatever, aka ^2
The value of the expression is 42
The expression 6 + (9-3)² involves the use of parentheses and an exponentiation operation (raising to the power of two, indicated by ²). To understand the meaning of this expression, we need to evaluate it step by step.
Step 1: Evaluate the expression inside the parentheses.
The expression inside the parentheses is (9-3). Here, we subtract 3 from 9, resulting in 6.
Step 2: Apply the exponentiation operation.
The exponentiation operation raises the expression obtained in step 1 (6) to the power of 2. Thus, 6² means 6 raised to the power of 2.
Step 3: Evaluate the exponentiation.
6² is equal to 6 times 6, which equals 36.
Step 4: Add the result to 6.
The final step is to add the result of the exponentiation (36) to 6.
Combining all the steps, we have:
6 + (9-3)² = 6 + 6² = 6 + 36 = 42.
Therefore, the value of the expression 6 + (9-3)² is 42.
In summary, the expression 6 + (9-3)² involves performing calculations within parentheses first, followed by raising the result to the power of 2. The resulting value is then added to 6. By following the order of operations, we determined that the expression evaluates to 42.
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24/42*14/42*18/42=? -As a fraction in simplest form?
Answer:
4/49
Step-by-step explanation:
Hope this helps
what is the values of X when y=4
Answer to 1dp
Answer:
√3=x
or
1.7=x
Step-by-step explanation:
y=x^2+1
substitute y=4:
4=x^2+1
subtract 1 to both sides:
3= x^2
opposite of squaring is square root:
√3=x
1.7=x
How many pair of numbers (x;y) that satisfy
log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)
Answer:
We can simplify the given inequality using the properties of logarithms:
log₃ (x² + y² + x) + log₂ (x² + y²) ≤ log₃ (x) + log₂ (x² + y² + 24x)
log₃ [(x² + y² + x) / x] + log₂ [(x² + y²) / (x² + y² + 24x)] ≤ 0
log₃ [(x + y²) / x] + log₂ [(1 - 24x / (x² + y² + 24x))] ≤ 0
log₃ [(x + y²) / x] + log₂ [(x² + y² + 24x - 24x) / (x² + y² + 24x))] ≤ 0
log₃ [(x + y²) / x] + log₂ [(x² + y²) / (x² + y² + 24x))] ≤ 0
log₃ [(x + y²) / x] - log₂ [(x² + y² + 24x) / (x² + y²))] ≥ 0
log₃ [(x + y²) / x] - log₂ [(x + 24) / x] ≥ 0
log₃ [(x + y²) / x] ≥ log₂ [(x + 24) / x]
(x + y²) / x ≥ (x + 24) / x^2
x + y² ≥ x + 24
y² ≥ 24
y ≤ ± 2√6
Therefore, the system of inequalities that satisfies the given inequality is:
y ≤ 2√6, y ≥ -2√6
For each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.
For example, if y = 0, then the inequality simplifies to:
log₃ (x) + log₂ (x²) ≤ 0
log₃ x + 2 log₂ x ≤ 0
log₃ x + log₂ x² ≤ 0
log₆ x³ ≤ 0
x³ ≤ 1
x ≤ 1
So, if y = 0, then the possible values of x are:
0 < x ≤ 1
Thus, for each value of y between -2√6 and 2√6, there is a corresponding range of x values that satisfies the inequality.
Therefore, the total number of pairs (x,y) that satisfy the inequality is infinite, since there are infinitely many real numbers between -2√6 and 2√6, and each of these corresponds to a range of x values that satisfies the inequality.
Answer:
x
Step-by-step explanation:
To solve this inequality, we can use the properties of logarithms to simplify it. First, we can combine the two logarithms on the left side of the inequality using the product rule:
log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x) + log₂(x² + y² + 24x)
Next, we can use the fact that logₐ(b) ≤ logₐ© if b ≤ c to simplify the right side of the inequality:
log₃[(x² + y² + x)(x² + y²)] ≤ log₃(x(x² + y² + 24x))
Now we can expand both sides of the inequality and simplify:
log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) ≤ log₃(x⁴ + 24x³)
Subtracting log₃(x⁴ + 24x³) from both sides gives:
log₃(x⁴ + 2x³y² + x²y⁴ + x³ + xy²) - log₃(x⁴ + 24x³) ≤ 0
Using the quotient rule for logarithms gives:
log₃[(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³)] ≤ 0
Finally, we can use the fact that logₐ(b) ≤ 0 if and only if b ≤ 1 to solve for x and y:
(x⁴ + 2x³y² + x²y⁴ + x³ + xy²)/(x⁴ + 24x³) ≤ 1
Multiplying both sides by (x⁴ + 24x³) gives:
x⁴ + 2x³y² + x²y⁴ + x³ + xy² ≤ x⁴ + 24x³
Simplifying gives:
2x³y² + x²y⁴ + x³ - 24x³ ≤ -xy²
Rearranging terms gives:
xy² - 2x³y² - x²y⁴ - x³ + 24x³ ≥ 0
Factoring out an xy term gives:
xy(y - (2x)^(3/2))(y + (2x)^(3/2)) ≥ 0
This inequality holds when either y ≥ (2x)^(3/2) or y ≤ -(2x)^(3/2). Therefore, there are two pairs of numbers that satisfy this inequality for any given value of x.
I hope this helps!
find the sum of difference
for a vector space v and a finite set of vectors s = {v1, · · · , vn} in v , copy down the definitions for a) span(
(a) Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field.
(b) A basic for V is linearly independent spanning set of V.
(c) A subset of V which its self is a vector space is called subspace of V.
Let V be a vector space and S be a set of vectors on i. e.
s{V₁,V₂,V₃..........Vₙ} then,
(a) Span (S) is set of all possible linear combinations of vector in S i.e.
Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field
i. e. \(a_i\) are scalars from field on which vector space V is defined.
(b) A basic for V is linearly independent spanning set of V i.e.
Let B be set of vectors in V. then B is a Basic of V if
(i) B is linearly independent set
(ii) Span (B) = V
(C) A subset of V which its self is a vector space is called subspace of V.
Therefore, Span (s) = {a₁v₁+a₂v₂+.........aₙvₙ} \(a_i\) ∈ field.
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Incomplete Question:
for a vector space v and a finite set of vectors s = {v1, · · · , vn} in v , copy down the definitions for
a) span(S).
b) a basis of b.
c) a subspace of V.
1. Evaluate algebraic expression for the given value of "y". 6y -5 for y =7
What are the coordinates of the point on the directed line segment from ( − 10 , 5 ) (−10,5) to ( 8 , 2 ) (8,2) that partitions the segment into a ratio of 1 to 2?
so hmmm say A(-10 , 5) , B(8 , 2) and the point that partitions them is point C.
\(\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)\)
\((\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}\)
Number of voters 9 11 12 10 B C с A D C C A 1st choice 2nd choice 3rd choice 4th choice D C B А B A D 0 С D B Find number of points Candidate D receives under Pairwise Comparison (Copeland's Method) Points = Find the winner of this election under Pairwise Comparison (Copeland's Method) Winner = C D Video Question Help: Add Work Message instructor Submit Question
Candidate D receives 6 points under Pairwise Comparison (Copeland's Method).
Based on the total points, Candidate D has the highest score and is the winner of this election under Pairwise Comparison (Copeland's Method).
To find the number of points Candidate D receives under Pairwise Comparison (Copeland's Method), we need to compare Candidate D with each of the other candidates and assign points based on the number of times Candidate D is preferred over the other candidates.
Looking at the preferences of each voter, we compare Candidate D's choices with the choices of the other candidates:
Candidate D vs. Candidate A: D is ranked higher than A by 3 voters.
Candidate D vs. Candidate B: D is ranked higher than B by 2 voters.
Candidate D vs. Candidate C: D is ranked higher than C by 1 voter.
Adding up the points, we have 3 + 2 + 1 = 6 points for Candidate D under Copeland's Method.
Therefore, Candidate D receives 6 points under Pairwise Comparison (Copeland's Method).
To determine the winner of this election using Copeland's Method, we compare the total points received by each candidate.
Candidate A: 3 + 1 = 4 points
Candidate B: 2 + 1 = 3 points
Candidate C: 1 + 2 = 3 points
Candidate D: 6 points
Based on the total points, Candidate D has the highest score and is the winner of this election under Pairwise Comparison (Copeland's Method).
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The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.
Answer 48
Step-by-step explanation:
The two-digit number that satisfies the given condition will be 48.
What are digits?In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.
For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.
Suppose the two-digit number is xy.
Sum x + y = 12
By multiplying by 3,
3(10x + y) = 144
10x + y = 48
Put y = 12 - x
10x + 12 - x = 48
9x = 36
x = 4
And, y = 12 - 4 = 8 so the number will be 48.
Hence "The two-digit number that satisfies the given condition will be 48".
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If f(x) = 3x + 5, find f(2).
Answer:
f(2) = 11
hope this helps
Step-by-step explanation:
3(2)+5
6+5
11
Answer:
11
Step-by-step explanation:
3(2)+5=11
Substitution -- :D
Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?
Answer:
x = -25.
Step-by-step explanation:
If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.
f(g(x)) = -10x + 5, and x = 3.
-10 * 3 + 5
= -30 + 5
= -25.
Hope this helps!
In the function f(x) = 5x + 2, from (0, 2) what is the direction of the next point? *
a. 5 units up and 1 unit to the left
b. 5 units to the left and 1 unit up
c. 5 units up and 1 unit to the right
d. 5 units to the right 1 unit up
Please explain why you chose this answer
Four complex numbers form the vertices of a square in the complex plane. Three of the numbers are $-19 32i,$ $-5 12i,$ and $-22 15i$. What is the fourth number
If the three numbers of a square in the complex plane are \(-19+32i,-5+12i and -22+15i\) , then the fourth complex number \(-2+19i\).
Given \(-19+32i,-5+12i and -22+15i\) are three numbers.
Complex numbers are those numbers which extends the real numbers with an imaginary i. In this \(i^{2}=-1\). Major complex numbers are in the form a+ bi where a and b are real numbers.
let the fourth complex numbers be \(x+yi\). Then according to question;
=\((-22+15i)-(-5+12i)\)
=(cos π/2+i sin π/2) \((x+yi)-(-5+12i)\)
\(-17+3i=-y+12\)\(+(x+5)i\)
Now solving for x and y by equating both sides.
x=-2 and y=29
Put the value of x and y in \(x+yi\)
Z=-2+29i
Hence if the three numbers which forms vertices of a square are \(-19+32i,-5+12i,-22+25i\) then the fourth complex numbers be \(-2+29i\).
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the mean attention span for adults in a certain village is 15 minutes with a standard deviation of 6.4. the mean of all possible samples of size 30, taken from that population equals _________.
The mean attention span for adults in a certain village is μ = 15 minutes with a standard deviation of σ = 6.4. We are interested in finding the mean of all possible samples of size n = 30, taken from that population.
According to the central limit theorem, the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size. That is:
\(mean of sample means = population mean = μ = 15 minutes\\standard deviation of sample means = population standard deviation / sqrt(n) = σ / sqrt(30) ≈ 1.17 minutes\)
Therefore, the mean of all possible samples of size 30, taken from the population with mean 15 minutes and standard deviation 6.4 minutes, is approximately equal to 15 minutes.
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If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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Arrange the integers in ascending order :
-27, 19, 0, -11, -33, -2
Answer: -33,-27,-2,0,19
Step-by-step explanation: ascending: in order from smallest to largest. With negative numbers, the bigger the number is the smaller the value. For example -4 has less value then -2
I need help with question 26 please.
Answer:
it is not balanced because of sulphur on left side 2 sulphur
on the right side 3 sulphur
A rock show is being televised. The lead singer, who is 75 inches tall, is 15 inches tall on a TV monitor. The image of the bass player is 13 inches tall on the monitor. How tall is the bass player?
Answer:
The bass player is 65 inches tall.
Step-by-step explanation:
15 inches is 20% of 75, so the monitor reduces their height by 20%. 13 is 20% of 65, so the bass player must be 65 inches tall.
what are the next 2 terms for the sequence: 1, 8, 27, 64, 125
Answer:
216, 343
Step-by-step explanation:
1, 8, 27, 64, 125 ← are perfect cubes , that is
1³ = 1 × 1 × 1 = 1
2³ = 2 × 2 × 2 = 8
3³ = 3 × 3 × 3 = 27
4³ = 4 × 4 × 4 = 64
5³ = 5 × 5 × 5 = 125
continuing the pattern for 6 and 7
6³ = 6 × 6 × 6 = 216
7³ = 7 × 7 × 7 = 343
thus the next 2 terms in the sequence are 216, 343