Answer:
\(\sqrt{2n^{2}}\)
You have the side lengths of the two legs, n and n.
Then, using the pythagorean theorem you have to find the length of the third side:
\(a^2 + b^2 = c^2\\n^2 + n^2 = c^2\\2n^2 = c ^ 2\\\sqrt{2n^2} = c\)
where c is the third side
A quadratic function is given. f(x) = 3r-x+6 What is f(2)?
F 40
28
16
Answer:
answer is 16
good day mate
(The fundamental theorem of arithmetic). Use strong induction to show that every natural number greater than 1 can be written as a product of primes. Hint. Use the inductive hypothesis that every number n satisfying 2 ≤ n ≤ m can be written as a product of primes n = p1p2 · · · pr for some positive integer r.
The fundamental theorem of arithmetic states that every natural number greater than 1 can be written as a product of primes. Using strong induction, we can prove this.
Let's proceed with the strong induction proof. We start by considering the base case, where m = 2. Since 2 is prime, it can be written as a product of primes itself.
Next, we assume that for all natural numbers k such that 2 ≤ k ≤ m, the statement holds true, i.e., k can be expressed as a product of primes. Now, we aim to prove that m+1 can also be expressed as a product of primes.
We know that m+1 is either prime itself or composite. If m+1 is prime, then it can be written as a product of a single prime, satisfying the theorem.
On the other hand, if m+1 is composite, it can be written as a product of two positive integers a and b, where 2 ≤ a ≤ b ≤ m. Since a and b are both less than or equal to m, we can apply the inductive hypothesis to express a and b as products of primes. Therefore, we can write m+1 as a product of primes by combining the prime factorizations of a and b.
By strong induction, we have shown that for any natural number m greater than 1, it can be expressed as a product of primes. This completes the proof of the fundamental theorem of arithmetic.
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fill in the blank.one dimension, ________blank, is used to classify social media and is shown in figure 20-1 on the x-axis, ranging from "words" to "animation."
One dimension, called "media richness," is used to classify social media and is shown on the x-axis of Figure 20-1. It ranges from "words" to "animation" and represents the level of interactivity and information.
In the context of social media, the concept of media richness refers to the degree of richness or complexity in the communication channel. It is a measure of the ability of a medium to convey information effectively, facilitate understanding, and support interaction between users.
Media richness is influenced by factors such as the presence of nonverbal cues, immediate feedback, personalization, and the capacity for multiple communication channels. Figure 20-1 likely represents a graphical representation or classification of social media based on their media richness.
The x-axis of the figure represents the continuum of media richness, ranging from "words" to "animation." At one end of the spectrum, "words" represent text-based communication platforms that primarily rely on written content. As we move towards the other end, "animation" represents media that incorporate rich visual and interactive elements such as videos, graphics, and multimedia features.
By placing different social media platforms along this dimension, Figure 20-1 provides a visual representation of their relative media richness levels. It helps in understanding the varying capabilities and characteristics of different social media platforms and their potential for communication, engagement, and information sharing.
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Question 4 of 25
Which of these could be the graph of F(x) = In x + 1?
51
51
5.
H
5
-5
-5-
B
A
5
-5
D
5
Answer:
fx 8
Step-by-step explanation:
ao the answer ia fx 8 do times
The diameter of the base of a cone is 8 inches and the height is twice the radius. What is the volume of the cone?
1. 66.99 in3
2. 50.24 in3
3. 401.92 in3
4. 133.97 in3
Answer: 50.24 in3
Step-by-step explanation:
The volume of a cone can be calculated using the formula V = (1/3)πr^2h, where r is the radius of the base and h is the height of the cone.
From the given information, we know that the diameter of the base of the cone is 8 inches, so the radius is 4 inches.
We also know that the height is twice the radius, so h = 2r = 8 inches.
Substituting these values into the formula, we get:
V = (1/3)π(4 in)^2(8 in) = (1/3)π(16 in^2)(8 in) = 50.24 in^3.
Therefore, the volume of the cone is 50.24 in^3, which corresponds to option 2.
Inequalities and their graphs - draw graph for each inequality Plsss explain and show how to do it!!
Answer:
the 3 steps
Step-by-step explanation:
1. Rearrange the equation so "y" is on the left and everything else on the right.
2. Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)
3. Shade above the line for a "greater than" (y> or y≥) or below the line for a "less than" (y< or y≤).
Find the LCF of30, 90,210
First we are going to use the prime factorization
30 90 210 I 2 First, divide all numbers by 2, because they are even numbers.
15 45 105I 5 Then, divide all numbers by 5 because they are multiples of 5
3 9 21 I 3 Then, divide all numbers by 3 because they are multiples of 3
1 3 7 I 3 Then, divide by 3
1 1 7 I 7 Then , divide by 7
1 1 1
Finally, we multiply our prime factors: 2*5*3*3*7 = 630
Our final answer is : 630
i hate math fr but pls help asap
Answer:
The formula for the area of a circle is A = πr^2, where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.
If the radius of the circle is 11 inches, then we can substitute this value into the formula:
A = πr^2
A = π(11)^2
A = π(121)
So the area of the circle is 121π square inches, which is approximately 380.1327 square inches when rounded to four decimal places.
According to the synthetic division below, which of the following statements are true? Check all that apply.
Answer: d, f
explanation:
Four packs of a certain brand of T-shirts cost
$
220.
Each pack costs the same amount of money and contains
5
T-shirts.
What is the cost per T-shirt?
Answer:
$11
Step-by-step explanation:
Four packs of T-shirt each with 5 T-shirts= 20 T-shirts
4*5=20 T-shirts
Total amount=$220
$220/20=$11
if sin theta=-3/5 in quadrant III what is cos theta
Answer:
Just simply input in your calculator arcsin of -5/6. Arcsin is the sign that looks like sin to the power of -1, even though it doesn't mean sin to the power of -1. This comes out to 303.6 degrees. So, it actually isn't in quadrant 3, it's in quadrant 4.
Step-by-step explanation:
Plz help this is due by 11:59
The null and allemative typoheses are given. Determine whether the tiypothes is test is left-taled, right-taled, of tao-talled. What parameter is being testeo? H 0
=e=105
H 1
=0+105
is the hypothesia test lef-taled, right-taled, of tao-talod? Roght-taied lest Two-aled tent Lettaled test What paraneter is being lesied? Popitation standerd devabon Population rean Popuiason proportion
The hypothesis test is right-tailed, and the parameter being tested is the population mean.
In hypothesis testing, the null hypothesis (H₀) represents the claim or assumption to be tested, while the alternative hypothesis (H₁) represents the alternative claim. In this case, the null hypothesis is stated as H₀: μ = 105, where μ represents the population mean.
To determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, we look at the alternative hypothesis (H₁). If H₁: μ > 105, it indicates a right-tailed test, meaning we are testing whether the population mean is greater than 105.
On the other hand, if H₁: μ < 105, it would be a left-tailed test, testing whether the population mean is less than 105. A two-tailed test, H₁: μ ≠ 105, would be used when we want to test whether the population mean is either significantly greater or significantly less than 105.
In this case, the alternative hypothesis is stated as H₁: μ ≠ 105, which means we are conducting a two-tailed test. However, the question asks specifically whether it is left-tailed, right-tailed, or two-tailed. Since the alternative hypothesis is not strictly greater than or strictly less than, we can consider it as a right-tailed test. Therefore, the hypothesis test is right-tailed.
Furthermore, the parameter being tested in this hypothesis test is the population mean (μ). The test aims to determine whether the population mean is equal to or significantly different from 105.
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What's the answer?
A) Y= 2x
B) Y= -2x - 4
C) Y= 2x - 2
D) Y= 2x + 2
Hi!! I'd love to help!!
The slope of your points is 2.
When we use the slope intercept formula (y=mx+b), we get y=2x-2.
So the answer to your question is C
Hope this helps!! Let me know if you need any more help or have questions/concerns.
7+5-3*2(6*7)/4
• convert the above specified infix expression into
postfix expression
• Evaluate the resulted postfix expression
• convert the specified infix expression into prefix
expres
The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".
To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.
The postfix expression for the given infix expression is:
"7 5 + 3 2 * 6 7 * 2 * - 4 /"
To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.
Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.
We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.
To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.
The prefix expression for the given infix expression is:
"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"
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Find the value of x and XY if Y is between X and Z. You may need to draw a picture. XY = 5x, YZ = x, and XZ = 24 x=1 XY =
Answer:
x = 4
XY = 20
Step-by-step explanation:
X____Y____Z
XZ= XY+YZ
24 = 5x + x
6x = 24
x= 24/6
x =4
XY = 5x = 5(4) = 20
I hope I helped you^_^
terri, aaron, and jamal all walked along straight paths. terri walked 3.95 km north in 48 min. aaron walked 2.65 km west in 31 min. jamal walked 6.50 km south in 81 min.
The option that correctly ranks the three boys in order from lowest to highest average speed is:
Jamal, Terri, AaronHow is the Average speed calculated?The average speed calculated is obtained by dividing the total distance covered by the total time taken. That said, we will obtain the average speeds for each of the boys as follows:
Terri = 3.95 km/48 min
= 0.082 km/min
Aaron = 2.65 km/31 min
= 0.085 km/min
Jamal = 6.50 km/81 min
= 0.080 km/min
When the results are obtained from lovwest to highest we will have:
0.080, 0.082, 0.085 which represent the figures for Jamal, Terri, Aaron.
Complete Question:
Terri, Aaron, and Jamal all walked along straight paths. Terri walked 3.95 km north in 48 min. Aaron walked 2.65 km west in 31 min. Jamal walked 6.50 km south in 81 min. Which of the following correctly ranks the three boys in order from lowest to highest average speed?
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Analyze the proportion below and complete the instructions that follow.
2x+5 x-5
3
4
Solve the proportion for x
A. -7
B. -4
C-2
D. -1
Answer:
A
Step-by-step explanation:
Find the solution of the system of equations.
−3x+8y=11
−3x−5y= −41
Answer:
Step-by-step explanation:
Subtract the equations. We get
13y = 52
y=4
SUBSTITUTE y in 1st equation and find x
-3x+8(4) =11
-3x = 11-32
-3x = -21
x=7
Let the graph of g be a reflection in the y axis, followed by a translation 7 units to the right of the graph of f(x)=
The y-axis reflection of f, followed by a translation 7 units to the right.
What exactly is a function?A function is a special type of relationship in which each input has exactly one output. In other words, for each input value, the function returns exactly one value. Because one is mapped to two different values, the graph above depicts a relation rather than a function. If the relation above were instead mapped to a single value, it would become a function. Also, output values can be the same as input values.
The function machine is fed the x-values. The function machine then runs its code and returns the y-values. Any function can be found within.
This corresponds to the y-axis graph of f(x).
Step 2 requires us to translate the reflected graph 7 units to the right. To accomplish this, we add 7 to the x-coordinate of each point on the f(-x) graph, yielding:
g(x) = f(-x + 7)
This gives us the equation for the graph of g, which is the y-axis reflection of f, followed by a 7-unit translation to the right.
As a result, f is reflected in the y-axis, followed by a translation 7 units to the right.
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Please help you guys, the AP calc an exam coming soon and I need to know how to do this, much appreciated.
To be continuous at x=0, you need three things:
1. f(0) must be defined
2. limit as x –> 0 must exist
3. f(0) = limit as x –> 0
f(0) in this case is the following:
\(f(0) = k + 2 \ln(0+e^{0+1}) = k + 2 \ln(e) = k + 2\)
We have to pause on this, since this by itself cannot give us the value of k.
For the limit, you need to make sure the limit from the left matches the limit from the right.
\(\lim\limits_{x\to 0^+} k+2\ln(x+e^{x+1}) = k+2\)
\(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{7}{2}\)
The only way this limit can exist is if \(k+2 = \dfrac{7}{2}\), which means \(k = \dfrac{3}{2}\).
Using that k-value also allows f(0) = 7/2, which makes your function continuous.
If you need to know how to make that second limit work out to 7/2, there are two steps to take.
The first is to bring the 1/2 out front, since it's a constant factor inside the limit.
\(\lim\limits_{x\to 0^-} \frac{\sin(7x)}{2x} =\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}\)
The second is to manipulate the what you're taking the limit of to turn it into a "sin(u)/u" situation. To do this, we'll multiply by 7/7 inside the limit:
\(\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{x}=\frac{1}{2}\cdot\lim\limits_{x\to 0^-} \frac{{\boldsymbol7\cdot{}}\sin(7x)}{{\boldsymbol7\cdot{}}x}\)
We'll then factor out the 7 in the numerator like we did with the 1/2:
\(=\frac{7}{2}\cdot\lim\limits_{x\to 0^-} \frac{\sin(7x)}{7x}\)
And now with a quick u-substitution, we'll let u = 7x and x->0 is the same as u->0, we have
\(=\frac{7}{2}\cdot\lim\limits_{u\to 0^-} \frac{\sin(u)}{u}\)
This is useful because a good limit to know in calculus is that \(\lim\limits_{u\to 0} \frac{\sin(u)}{u}=1\).
Someone help me with this please ASAP thank you
Answer: B. 20
Step-by-step explanation: 1/5 of 25 is 5 and 5 of those are red so 25-5=20
Answer:
B
Step-by-step explanation:
20 of the cards are different colors than red because 1/5 of 25 is 5
Does the scenario describe an observational study or an experiment?
Camila is competing in a 26-mile race. She runs at a constant speed of 12.5 mi/h. Write an equation in slope intercept form to represent
the distance Camila has left to run after x hours. How many hours will it take her to finish the race?
Answer:
2.08 or 2
Step-by-step explanation:
26 = 12.5x
y=mx+b
it will approximately take 2 hours, but to be exact, 2.08
If profits decrease by 13.8% when the degree of operating
leverage (DOL) is 3.8, then the decrease in sales is:
A) 0.28%
B) 0.52%
C) 3.63%
D) 10%
E) 52.44%
Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.
The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.
Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8
= -13.8% / x Thus, we have: x
= -13.8% / 3.8
= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage
= 13.8 / 3.8
= 3.63% The percentage decrease in sales is 3.63%.
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what proportion of students who take intro stats at the university of florida have never taken statistics before? is it more than half of them? a study of sta 2122 students found that 438 out of 654 students had never taken a statistics course before. match the following symbols with the correct answer.
Using proportions, it is found that:
The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.
A proportion is the number of desired outcomes divided by the number of total outcomes.
In this problem:
438 of the students had never taken a statistics course before, which is the number of desired outcomes.Sample of 654, which is the number of total outcomes.The proportion is:
\(p = \frac{D}{T} = \frac{438}{654} = 0.6697\)
The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.
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Mrs. Ricks is painting a fence that is 4 1/6 yards long. She stops when she is 3/5 done. How much of the fence did Mrs. Ricks paint?
Answer: If the fence is 4 1/6 yards long, we can first convert this to an improper fraction:
4 1/6 = (6*4 + 1)/6 = 25/6 yards
If Mrs. Ricks stops when she is 3/5 done, then she has painted:
(3/5)(25/6) = (325)/(5*6) = 15/2 = 7 1/2 yards
Therefore, Mrs. Ricks painted 7 1/2 yards of the fence.
Step-by-step explanation:
What is the area of this shape
A.178 in
B.269 in
C.262 in
D.48 in
Answer:
262 in² is the answer
Step-by-step explanation:
12 ×6 + 16×7+13×6 = 262
Answer:
269 in.^2
Step-by-step explanation:
area of the shape = (12*6) + (4*7) + (6*13) + (7*16)
=72 + 28 + 78 + 91
=269 in^2
Probability - Li has t toy bricks. She only has red bricks and blue bricks.
Answer:
The value of t is 16
a commitee of 5 is selected from 9 people (6 women ad 3 men) what is probability pf at least 3 being selected
The probability that the committee consists of 3 men and 2 women is 10/63.
Define the term combinations?A combination would be a mathematical technique for determining the number of potential arrangements in a set of objects where the order of something like the selection is irrelevant. You could choose the components in any order in combinations. Permutations and combinations have often been mistaken.As per the given question.
The committee consists of 9 people (6 women ad 3 men).
5 are choosen at random.
Then, the probability that the committee will have the of 3 men and 2 women is;
P(3 men + 2 women) = (select 3 men of of 3 men)(select 2 women out of 5 women) / (choose 5 out of 9 total)
P(3 men + 2 women) = (³C₃ . ⁵C₂)/ ⁹C₅
Solve the combination.
P(3 men + 2 women) = 1 x 20 / 126
P(3 men + 2 women) = 10/63
Thus, the probability that the committee consists of 3 men and 2 women is 10/63.
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The complete question is-
A committee of 5 is to be selected from a group of 6 women and 3 men. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?.