Answer:
he is an ordinary man because that is what the speaker is talking about
Answer:
The story develops the character of the speaker's father to keep things simple by not do anything extraordinary, not to compare himself to other fathers, is a devoted father on his devoted job, and is not judged by the community how or what he does in his job or the speaker.
Find the 5th term in the expansion of (3x + 1)7 in simplest form.
The 5th term in the expansion of [tex](3x + 1)^7[/tex] would be [tex]945x^3[/tex].
Binomial expansionTo find the 5th term in the expansion of [tex](3x + 1)^7[/tex], we use the binomial theorem formula:
[tex](a + b)^n = nC0 a^n b^0 + nC1 a^(n-1) b^1 + nC2 a^(n-2) b^2 + ... + nCn-1 a^1 b^(n-1) + nCn a^0 b^n[/tex]
where nCk represents the binomial coefficient, given by the formula:
nCk = n! / (k!(n-k)!)
In this case, a = 3x and b = 1, so we have:
[tex](3x + 1)^7 = 7C0 (3x)^7 1^0 + 7C1 (3x)^6 1^1 + 7C2 (3x)^5 1^2 + 7C3 (3x)^4 1^3 + 7C4 (3x)^3 1^4 + 7C5 (3x)^2 1^5 + 7C6 (3x)^1 1^6 + 7C7 (3x)^0 1^7[/tex]
To find the 5th term, we need to look at the term with k = 4, which is:
[tex]7C4 (3x)^3 1^4[/tex] = [tex]35 (3x)^3[/tex]
= [tex]35 (3x)^3[/tex]
= [tex]35 (27x^3)[/tex]
Therefore, the 5th term in the expansion of [tex](3x + 1)^7[/tex] is [tex]945x^3[/tex].
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Question 14 of 15
Which number line shows the solutions to x+8 > 15?
A number line that shows the solutions to x+8 > 15 include the following: B. number line B.
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided above, we have the following equation (inequality);
x + 8 > 15
By subtracting 8 from both sides of the equation (inequality), we have;
x + 8 - 8 > 15 - 8
x > 7
This ultimately implies that, the inequality must be shaded to the right with an open dot because the inequality symbol is greater than (>).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Show that the partition of G into left cosets of H is different from its partition into right cosets?
It is shown below that the partition of G into left cosets of H is different from its partition into right cosets when n ≥ 3.
How to prove right cosets?Let us first find the left cosets of H in G:
H = {1, s₀}
s₁H = {s₁, s₁s₀}
s₂H = {s₂, s₂s₀}
s₃H = {s₃, s₃s₀, s₂s₁, s₂s₁s₀}...
Now, find the right cosets of H in G:
H = {1, s₀}
Hs₁ = {s₁, s₀s₁}
Hs₂ = {s₂, s₀s₂}
Hs₃ = {s₃, s₀s₃, s₁s₂, s₀s₁s₂}...
Observe that the left cosets of H in G and the right cosets of H in G are not the same when n≥3. This is because s₁s₀ is not in H, but s₀s₁ is in H.
Therefore, the left coset s₁H is not the same as the right coset Hs₁. Similarly, s₂s₁s₀ is not in H, but s₀s₁s₂ is in H, so the left coset s₃H is not the same as the right coset Hs₃.
Thus, it is shown that the partition of G into left cosets of H is different from its partition into right cosets when n≥3.
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Write an expression to show how much it will cost if Kenny buys x number of hotdogs and each hot dog costs $2.
The expression to show how much it will cost if Kenny buys x number of hotdogs is x * $2.
To find the total cost if Kenny buys x number of hotdogs, we can multiply the number of hotdogs (x) by the cost per hotdog ($2). The expression to calculate the cost would be:
Total Cost = x * $2
In this expression, x represents the number of hotdogs Kenny wants to buy, and $2 represents the cost per hotdog.
For example, if Kenny wants to buy 5 hotdogs, we can substitute x with 5 in the expression:
Total Cost = 5 * $2
Simplifying the expression:
Total Cost = $10
So, if Kenny buys 5 hotdogs, it will cost him $10 in total.
Similarly, if Kenny buys any other number of hotdogs, we can substitute that value for x in the expression to calculate the corresponding total cost.
In summary, the expression to show how much it will cost if Kenny buys x number of hotdogs is x * $2.
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
hope it helps you
Haleigh decides that instead of throwing away old candles, she can use the last bit of wax combined together to make new candles. Each candle has 10% of it's original wax left. How many 5 ounce candles can she make if she has five 20 oz candles, 5 five ounce candles, and twenty-five one-ounce candles?
Answer:she can make three 5 ounce candles. she had 15 ounces left over , 15/5=3 .
Step-by-step explanation: 5 of 10% of 20 ounces is 10 ounces, and both the 5 five ounce candles and the twenty five one ounce candles are each 2.5 extra ounces left. (5 for both), making a totalm of 15 ounces left to put into new candles.
What the meaning of statement this?
The statement means that an n-ary operation on set X takes n inputs and produces a single output, with the operation defined by the function f:[tex]X^n[/tex] -> X.
The statement "An n-ary operation on x is functions f:X^n -> X" can be understood as follows:
In mathematics, an n-ary operation refers to an operation that takes n inputs and produces a single output. In this case, the operation is defined on a set X, and the inputs are elements from X. The result of the operation is also an element from X.
The symbol "f" represents the function that performs the n-ary operation. The function f takes n arguments, which are elements from the set X. The notation [tex]X^n[/tex] indicates the Cartesian product of X with itself n times, meaning that the inputs are taken from X and repeated n times as ordered tuples. The arrow "->" signifies that the function f maps the n-tuple of inputs to a single element in X.
To put it simply, the statement is describing a mathematical operation that takes n elements from a set X and combines them in some way to produce a single element, where the combination is determined by the function f. This function f can be defined explicitly based on the specific operation being considered.
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need help urgently, don’t think the answers i have are right and i don’t know how to do it!!!
Answer:
See attached graphy-intercepts = [tex]\dfrac{3}{2}[/tex]Roots: x = - 3Step-by-step explanation:
Given function is
[tex]f(x) = \dfrac{\left(x^2-9\right)}{\left(x^2-x-6\right)}[/tex]
Part 1
Graph attached
y-intercepts can be found by finding f(0) ie the value of f(x) at x = 0
[tex]f(0) = \dfrac{\left(0^2-9\right)}{\left(0^2-0-6\right)} = \dfrac{-9}{-6} = \dfrac{3}{2}[/tex]
Roots of a function can be found by setting f(x) = 0 and solving for x
Setting f(x) = 0
==> [tex]\dfrac{x^2-9}{x^2-x-6} = 0\\\\[/tex]
We can factor the numerator as follows:
x² - 9 = (x + 3) (x -3) since (a + b)(a-b) = a² - b²
Denominator can be factored as follows
x² - x - 6 = (x-3)(x+2)
So
[tex]f(x) = \dfrac{(x + 3)(x-3)}{(x-3)(x+2)}\\\\[/tex]
The (x-3) term cancels leaving
[tex]f(x) = \dfrac{x+3}{x+2}[/tex]
Setting this equal to 0 gives
[tex]\dfrac{x+3}{x+2} = 0[/tex]
This is 0 when x + 3 = 0 or x = -3
So there is only one root and that is x = -3
Asymptotes
The vertical asymptote occurs when at a value of x when the denominator becomes 0
The given function has been factored as
[tex]f(x) = \dfrac{x + 3}{x + 2}[/tex]
The denominator becomes 0 at x = -2
Vertical asymptote is x = - 2
To find the horizontal asymptote use the fact that when the degrees of the numerator and denominator are equal, the horizontal asymptote is given by
[tex]y=\dfrac{\mathrm{numerator's\:leading\:coefficient}}{\mathrm{denominator's\:leading\:coefficient}}[/tex]
The degree of the numerator x + 3 is 1 and the degree of the denominator x + 2 is also 1
So the horizontal asymptote is y = 1/1 = 1
y = 1 is the horizontal asymptote
End behavior is the behavior of the function as x → ±∞
This is determined by examining the leading term of the function and determining what its behavior is as x → ±∞
In the function
[tex]f(x) = \dfrac{x + 3}{x + 2}[/tex]
which is the factored form of the originally given function
the domain of x = all real numbers with the exception of -2 since at x = -2, the function is undefined
The end behavior can be determined by finding the limit of f(x) as x tends to infinity
[tex]\lim _{x\to \infty \:}\left(\dfrac{x+3}{x+2}\right)\\\\\dfrac{x+3}{x+2} \text{ can be transformed by dividing by x both numerator and denomiator :}\\\\\\=\dfrac{\dfrac{x}{x}+\dfrac{3}{x}}{\dfrac{x}{x}+\dfrac{2}{x}}\\\\\\=\dfrac{1+\frac{3}{x}}{1+\dfrac{2}{x}}[/tex]
[tex]\lim _{x\to \infty \:}\left(\dfrac{x+3}{x+2}\right) \\\\\\\\=\lim _{x\to \infty \:}\left(\dfrac{1+\dfrac{3}{x}}{1+\dfrac{2}{x}}\right)\\\\\\\\=\dfrac{\lim _{x\to \infty \:}\left(1+\dfrac{3}{x}\right)}{\lim _{x\to \infty \:}\left(1+\dfrac{2}{x}\right)}[/tex]
[tex]\lim _{x\to \infty \:}\left(1+\dfrac{3}{x}\right) = 1\\\\\lim _{x\to \infty \:}\left(1+\dfrac{2}{x}\right) = 1[/tex]
[tex]\lim _{x\to \:-\infty \:}\left(\dfrac{x+3}{x+2}\right) = 1[/tex]
End behavior
[tex]\mathrm{as}\:x\to \:+\infty \:,\:y\to \:1,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:y\to \:1[/tex]
Table:
x y
-4 1/2
- 3 0
-1 2
0 3/2
1 4/3
2 5/4
3 6/5
Note that the function is undefined at x = -2
I do not understand why the answer is a) for this equation: y'=2y+x. I assumed that the answer is c) or a), because numbers in the equation are positive, but I'm not sure this is the correct method here
The slope field for the differential equation would be D . Graph D .
What are slope fields ?A slope field provides a pictorial representation of differential equations that displays the magnitude and direction of the derivative or slope for solution curves at various points in the plane .
The length of line segments represents the magnitude, while the direction indicates the sign of the slope.
The equation given is y = 2 y + x which means that the slope is positive. This is why we can tell that Graph D has the correct slope field as it goes up for positive.
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2 A car dealer, at a year-end clearance, reduces the price of last year's models by a certain amount. If a certain four-door model has been sold at a discounted price of Birr 51,000, with a discount of Birr 9,000, what is the percentage of discount?
The four-door model is sold at 15% discount.
Discount is the difference between list price and selling price.
List price is the original price of the product set by the seller.
Selling price is the price at which the product is actually sold.
We know that percentage of discount is:
Discount % = (Discount/ List price) * 100
where Discount= List price- Selling price
⇒ List price= Discount + Selling Price
⇒ List price = 9000 + 51000 = Birr 60,000
Calculating the discount percentage based on above mentioned results:
Discount % = (Discount/ list price)*100
⇒ (9,000/60,000)*100 = 15%
Therefore the percentage of discount for the four-door model sold at discounted price of Birr 51,000 with discount of Birr 9,000 is 15%.
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Find the inverse of the function.
f-¹(x) =
+
f(x) =
1
x - 2
X # 2
, X = 0
Answer:
The given function is:
f(x) = 1/(x - 2), x ≠ 2
0, x = 2
To find the inverse of the function, we need to solve for x in terms of f(x).
Let y = f(x)
Case 1: When y = 0
If y = 0, then x = 2 as per the definition of the function.
Case 2: When y ≠ 0
y = 1/(x - 2)
1/y = x - 2
x = 1/y + 2
So, the inverse function is:
f-¹(x) = 2, x = 0
1/(x - 2), x ≠ 0 and x ≠ 2
Step-by-step explanation:
4. Higher Order Thinking A national TV
news show conducted an online poll to find
the nation's favorite
comedian. The
website showed
the pictures of
5 comedians and
asked visitors of the
site to vote. The news
show inferred that
the comedian with
the most votes was
the funniest comedian
in the nation.
a. Is the inference valid? Explain.
b. How could you improve the poll? Explain.
No, the inference is not valid because it excluded those who were not online and so did not see the poll.
To improve the poll, the news show could have conducted it in a more representative manner by surveying a larger sample of people from a variety of backgrounds
How to improve the poll ?The poll's results may have been influenced by various factors, including but not limited to the order in which the comedians were presented, the demographics of the respondents, and the fact that it was conducted online, possibly excluding those without internet access. Overall, the poll's representative accuracy is questionable.
To enhance the accuracy of the survey, the broadcast could have implemented a more inclusive method by polling a wider range of individuals from diverse backgrounds. An alternate method for conducting the poll would have been by personal or telephonic means, enabling individuals without internet connectivity to participate.
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please helpppp me i can not figure this out it is an attachment
If they both start riding at the same time and ride at their current rates, the time is that A. Amy will have to wait 0.5 minute for Sebastian.
How to explain the informationLet v be the speed of Amy and Sebastian.
Option A states that Amy will have to wait 0.5 minutes for Sebastian. This implies that Sebastian is faster than Amy since he catches up to her within half a minute.
Therefore, Amy will have to wait 0.5 minute for Sebastian. This was calculated thus:
V = 3.0 - 2.5
v = 0.5
Therefore, Amy will have to wait 0.5 minute for Sebastian.
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she uses 3 inch by 3 foot strips of nylon. She will cut 12 separate peices. What are the side lengths of each piece? Round to the nearest tenth
The solution is: 114 inches of wood, in inches, did Maya use in all.
Here, we have,
First, we must remember:
1 foot = 12 inches
Knowing that, let's solve the exercise:
• She made 5 strips, and in each one she used 14 inches of wood.
So, 5 * 14 = 70 inches
• 3 strips, each with 1 foot. So, 3 * 12 = 36 inches
• 4 strips, each with 1/6 foot. So, 4 * 2 = 8 inches
In all, she used 70 + 36 + 8 = 114 inches of wood.
Hence, The solution is: 114 inches of wood , in inches, did Maya use in all.
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complete question:
Maya cut a length of wood into strips to make 5 small picture frames. She used 4 inches of wood for each frame. For another project she cut another length of wood into 3 strips of 1 foot each and 4 strips of = foot 3 4 each. How much wood, in inches, did Maya use in all? Show your work.
Convert
24 in = ___________ ft
700 cm. =__________m
Answer:
0.24ft
7m
Step-by-step explanation:
The radius of a circle is 14 yards. What is the circle's circumference?
Use 3.14 for .
pls help
Answer:
Circumference = 87.92 yd
Step-by-step explanation:
We know that formula for circumference (C) of a circle is
C = πd, where d is the diameter.
We know that the diameter is twice the measure of the radius, so we can find the diameter of the circle by multiplying the radius by 2:
d = 2r
d = 2 * 14
d = 28 yd
Now, we can find circumference, remembering to use 3.14 for π
C = 3.14 * 28
C = 87.92 yd
Help Quickly! Which line in the graph contains the point (4,3) and has a slope of 2/5?
*Giving Brainlyest if correct*
A. line r
B. line p
C. line s
D. line t
Simplify the expression
log₂8³x
Answer:
We can simplify the expression log₂8³x using the following logarithmic rule:
logₐb^c = c * logₐb
Using this rule, we can rewrite the expression as:
log₂8³x = 3log₂8 + log₂x
We can further simplify by recognizing that 8 can be expressed as a power of 2:
8 = 2³
Substituting this in, we get:
3log₂8 + log₂x = 3log₂(2³) + log₂x = 3 * 3 + log₂x = 9 + log₂x
Therefore, the simplified expression is:
log₂8³x = 9 + log₂x
Step-by-step explanation:
brainly hates me!!!!!!!!!!!
Answer:
1. x = 13.75
2. 17 degrees
3. a = 4, b = 2√2
Step-by-step explanation:
1. cos(37) = 11/x
since cos(37) = 4/5
4/5 = 11/x
4x = 55
x = 13.75
2. tan(0) = opp/adj
tan(0) = 4/13 = 0.30769
=> (0) = 17.1 degrees or 17 degrees
3. since the triangle is right triangle with 2 angles of 45 degress
=> isosceles right triangle
then b = 2√2
a^2 = (2√2)^2 + (2√2)^2
a^2 = = 8 + 8 = 16
a = √16= 4
Solve 2(2x-5)=3x+x-2x
Answer:
5=x
Step-by-step explanation:
Q=2(2x-5)=3x+x-2x
SOLUTION:
4x-10=4x-2x
-10=2x-4x
-10= -2x
(-+-=+ so 10 and 2 are positive now)
10/2=x
5=x
Simplify (4x5y³)(-3x³y²).
O-12x85
Ox³y5
O-12x³y6
O-12x¹5,6
Answer:
-12x⁸y⁵
Step-by-step explanation:
Exponent law:
xᵃ * xᵇ = xᵃ ⁺ ᵇ
In exponent multiplication, if bases are same, add the exponents.
Multiply the co-efficient.Multiply the variable using the exponent law.(4x⁵y³) (-3x³y²) = 4*(-3) * x⁵⁺³ * y³⁺²
= -12x⁸y⁵
A car travels for 10minutes.
At the beginning of the trip, the car traveled at a speed
of 13 m/s. At the end of the trip the car was traveling at a speed of 6 m/s. What is
the acceleration of the car?
Answer:
0.01167 m/s^2
Step-by-step explanation:
Acceleration is chage in velocity with respect to time. Another way to think of acceleration is in the units: m/s^2, or as I like to say, (m/s) /s.
The strategy to solve this kind of problem is to find the change in velocity (which will be in units of m/s)... and then divide that by the time passed.
In this case:
Change in Velocity = (13 m/s) - (6 m/s) = 6 m/s
Time passed = 10 min
Converting units of time: 10 min * (60 s / 1 m) = 600 sec
Acceleration = Change in Velocity / Time Passed
Acceleration = (6 m/s) / (600 s)
Acceleration = 0.01167 m/s^2
The distribution for the life of refrigerators is approximately normal with a mean of 14 years and a standard deviation of 2.5 years. What percentage of refrigerators have lives between 11 years and 18 years?
The percentage of refrigerators that have lives between 11 years and 18 years is approximately 83.01%.
The values of 11 years and 18 years using the given mean and standard deviation, and then find the area under the standard normal curve between those two standardized values.
First, we standardize the value of 11 years:
z1 = (11 - 14) / 2.5 = -1.2
Next, we standardize the value of 18 years:
z2 = (18 - 14) / 2.5 = 1.6
Now we need to find the area under the standard normal curve between these two standardized values.
We can use a standard normal table or calculator to find this area.
Using a standard normal table, we can find the area between z = -1.2 and z = 1.6 by finding the area to the left of z = 1.6 and subtracting the area to the left of z = -1.2:
Area = P(-1.2 < z < 1.6) = P(z < 1.6) - P(z < -1.2)
Looking up these values in the standard normal table, we find:
P(z < 1.6) = 0.9452
P(z < -1.2) = 0.1151
Substituting these values, we get:
Area = 0.9452 - 0.1151 = 0.8301
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50 Points! Multiple choice geometry question. Photo attached. Thank you!
The sum of the measures of the exterior angles of a convex 21-gon is 360°.
Given,
Convex 21- gon
Polygon is a plane figure with a finite number of straight line segments.
Convex polygons are those in which none of their interior angles are greater than 180°.
Now,
The sum of exterior angles of any regular polygon is 360°.
Hence,
The sum of the measures of the exterior angles of a convex 21-gon is 360°.
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P(R) = 1/3 P(R & W) = 2/19
What is P(W|R)?
Group of answer choices
9/16
19/51
6/19
51/19
The probability of event W occurring given that event R has occurred is 6/19. Among the given answer choices, the correct probability is 6/19.
To find P(W|R), we can use the conditional probability formula:
P(W|R) = P(W & R) / P(R)
Given that P(R) = 1/3 and P(R & W) = 2/19, we can substitute these values into the formula:
P(W|R) = (P(R & W)) / P(R) = (2/19) / (1/3)
To divide by a fraction, we can multiply by its reciprocal
P(W|R) = (2/19) * (3/1) = 6/19
Therefore, the probability of event W occurring given that event R has occurred is 6/19.
Among the given answer choices, the correct probability is 6/19.
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For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of
your response as Part A, Part B, and Part C.
Part A: Suppose event A and event B are mutually exclusive. Is the statement P(A and B)-0 true?
Part 9: Explain why or why not to support your answer to Part A.
Part C: Provide an example to support your explanation.
Part A :
Yes, the statement is true that P( A and B ) = 0 .
Given,
Event A and Event B are mutually exclusive.
Thus P ( A and B ) = 0
Part B:
A and B are mutually exclusive events if they do not occur at the same time.
This means that A and B do not share any common outcomes and
P(A and B) = 0.
Part C:
Let,
The sample space W = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
Let A = {1, 2, 3, 4, 5}, Y = {4, 5, 6, 7, 8}, and B = {7, 9}.
A and B do not have any numbers in common so P(A and B) = 0.
Hence, A and B are mutually exclusive.
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WORTH 25 points
Find the area of the parallelogram with given points.
(7,4)
(3,0)
(-4,9)
(13,0)
Flip a half a day league table in her kitchen, the lacewings from one corner of the table to the middle of the far side of the table. How long is the gateleg table?
The length of gateleg of the table whose leg swings from one corner of the table to the middle of the far side of the table top is 53 inches long.
The shape forms a trapezoid
The length of the parallel side = is 56 in
The length of the base = is 45 in
To the length of the triangle formed when the base of the gateleg is connected with the middle of the table
The length of the side when connected with the midpoint = 56/2 = 28
The length of gateleg = hypotenuse
Using Pythagorean theorem :
(hypotenuse)² = (base)² + (perpendicular)²
(hypotenuse)² = (45)² + (28)²
(hypotenuse)² = 2025 + 784
(hypotenuse)² = 2809
hypotenuse = 53
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The question is incomplete the complete question is :
Philippa has a gateleg table in her kitchen. The leg swings from one corner of the table to the middle of the far side of the tabletop, as shown in the sketch below.
Note: The figure is not drawn to scale.
How long is the gateleg of the table?
A.) 53 inches
B.) 49 inches
C.) 73 inches
D.) 72 inches
What is the slope of a line passing through the points (2,3)
and (5,3)?
Enter your answer as a number, like this: 42
Or, if the slope is undefined, enter a lowercase letter "u," like this: u
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )
m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0
a line with a slope of zero is a horizontal line parallel to the x- axis
The athletic department spent $1,204 on airline tickets and $600 on hotel costs for the 4 members of the tennis team. How much was spent for each member of the tennis team?
HELP ME ASAP PLEASE
Answer:
451$
Step-by-step explanation:
$1,204 + $600 = 1804$
Since there are 4 members on the team, we divide the total sum of costs by 4.
$1804/4 = 451$.
Answer:
The athletic department spent $1,204 on airline tickets and $600 on hotel costs for the 4 members of the tennis team. To find out how much was spent for each member of the tennis team, you can add the cost of airline tickets and hotel costs and then divide by the number of members.
So, the total cost for airline tickets and hotel costs is $1,204 + $600 = $1,804. Since there are 4 members on the tennis team, the cost per member is $1,804 ÷ 4 = $451.
Therefore, $451 was spent for each member of the tennis team.
MARK AS BRAINLIEST!!!