Answer:
A
Step-by-step explanation:
B, C and D are all equations.
A is the only one that is not.
The answer is A.
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 23 feet up. The ladder makes an angle of 75^{\circ}
∘
with the ground. Find the length of the ladder. Round your answer to the nearest hundredth of a foot if necessary.
The length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
The ladder forms a right triangle as it lies against the wall as shown in the image below.
Thus:
x = length of the ladder (hypothenuse)
Reference angle \((\theta) = 75^{\circ}\)
25 ft = Opposite
Apply SOH:
Thus,
\(sin(\theta) = \frac{Opposite}{Hypotenuse}\)
Plug in the values\(sin(75) = \frac{25}{x}\\\\x = \frac{25}{sin(75)} \\\\\mathbf{x = 25.88}\)
Therefore, the length of the ladder that makes an angle of 75 degrees and lies against the wall of a house that's 23 feet tall is approximately 25.88 feet.
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Answer:
x=32.09 feet long
Step-by-step explanation:
select all factors of the polynomial
z^3 - 9z^2 - 7z + 63
ANSWER FAST WILL GIVE BRAINLIEST
Answer: C and D
Step-by-step explanation:
PLEASE ANSWER THIS AS QUICK AS U CAN.VERY QUICK PLS!
6t ÷ 9
I hope this helps!
Answer: 6t
Step-by-step explanation:
there are 6 t's so yea it's the 6th work for me -_-
f(x)= 3x^2+45
What does x equal?
Answer:
\(x=\sqrt{\frac{y-45}{3}}\), \(x=-\sqrt{\frac{y-45}{3}}\) for \(y>45\)
Step-by-step explanation:
Apply the rule that f(x) = y into the equation to then get:
y = 3x^2+45 ⇒ Then solve for x
The image below shows step-by-step on how to solve it ↓
Hope this helps! :)
What is the 8th term of the sequence? −16, 24, −36, 54, ... −729/8 2187/8 −2187/8 729/8
Answer:
The answer is
\( \frac{2187}{8} \)Step-by-step explanation:
The sequence above is a geometric sequence
For an nth term in a geometric sequence
\(A(n) = a ({r})^{n - 1} \)
where n is the number of terms
r is the common ratio
a is the first term
From the question
a = - 16
To find the common ratio divide the previous term by the next term
That's
r = 24/-16 = -3/2 or -36/24 = - 3/2
Since we are finding the 8th term
n = 8
Substitute the values into the above formula
That's
\(A(8) = - 16 ({ - \frac{3}{2} })^{8 - 1} \)\(A(8) = - 16 ({ - \frac{3}{2} })^{7} \)\(A(8) = - 16( - \frac{2187}{128} )\)We have the final answer as
\(A(8) = \frac{2187}{8} \)Hope this helps you
The length of cell A is
3×10−5
m. The length of cell B is
0.000001
m. What is the ratio of cell A's length to cell B's length?
Answer:
b´s length is 10
Step-by-step explanation:
if alpha and beta are zeroes of x2-3x+q. what is the value of q, if 2 alpha+3 beta=15
The value of q is -27.
Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.
In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.
We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.
Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.
Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.
Combine like terms: 15 - beta = 6.
Subtract 15 from both sides: -beta = -9.
Multiply both sides by -1 to solve for beta: beta = 9.
Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.
Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.
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A company sells widgets. The amount of profit, y, made by the company, is related to 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=-6x^2+190x-826
Answer:
The maximum profit is $854
Step-by-step explanation:
Profit is the difference between the revenue and the cost price of an item. It is given by:
Profit = selling price - cost price
Since x represent the profit made by the company, is related to the selling price of each widget, x and it is given by the formula:
y = -3x² + 155x - 1148
At maximum profit, dy/dx = 0, hence:
dy/dx = -6x + 155
0 = -6x + 155
6x = 155
x = 25.83
The maximum profit is at gotten when the selling price of each widget is 25.83. Hence:
y = -3(25.83)² - 155(25.83) - 1148
y = $854
Therefore the maximum profit is $854
if the individuals in generation iii labeled 1 and 2 were to marry and have children, what is the probability that their first child will have the kidney disease?
The probability that their first child will have kidney disease is 1/8.
What is probability?
The proportion of favorable cases to all possible cases is used to determine how likely an event is to occur.
Here, we have
Both parents must be heterozygous to have a 1/4 chance of having an
affected child. Parent 2 is heterozygous (her father was homozygous recessive, but she has unaffected).
For the child to have the disease, both Parent 1 and Parent 2 would need to be heterozygous
There is a 50% chance of this for Parent 1 and a 100% chance of this for Parent 2 and then, there is a 25% chance that their first child will be affected:
50%× 100% × 25% = 12.5%
1/2 × 1/4 = 1/8
Hence, the probability that their first child will have kidney disease is 1/8.
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My entire life I have noted the sun rises every morning and sets every evening. I am concluding that the sun will rise tomorrow morning and set tomorrow evening. Make an argument as to why this can be inductive or deductive reasoning and include details that indicate your knowledge of the topic.
The argument that the sun will rise tomorrow morning and set tomorrow evening is based on inductive reasoning, using past observations of consistent sunrise and sunset patterns to predict future occurrences.
1. The observation: Throughout your entire life, you have consistently noticed that the sun rises every morning and sets every evening. This is an observation based on personal experience.
2. Inductive reasoning: Based on this observation, you make an inference or prediction about the future. You reason that since the sun has always risen in the morning and set in the evening in the past, it is likely to continue doing so in the future.
3. Pattern and consistency: The assumption is that natural phenomena, such as the rising and setting of the sun, follow a pattern or regularity. This assumption is based on the principle of uniformity of nature, which suggests that the future will resemble the past in terms of natural occurrences.
4. The limitations of inductive reasoning: While inductive reasoning provides a useful way to make predictions based on past observations, it is not foolproof. There is always a small possibility that something unexpected could happen, such as a rare astronomical event or an external factor that alters the pattern. However, based on the available evidence and the consistency of the observed pattern, the prediction that the sun will rise tomorrow morning and set tomorrow evening is highly probable.
In summary, the argument relies on inductive reasoning, using the past consistent observation of the sun's rising and setting to predict that it will continue to do so in the future. While this reasoning is not infallible, it is a reasonable and practical way to make predictions based on observed patterns in nature.
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Can somebody please help me here is the question
8 moles of oxygen occupies 50. mL. How many moles of oxygen would be present if the volume were 100. mL, assuming pressure and temperature remain constant?
Answer:
8 moles.
Moles is the amount of oxygen and not pressure, volume or mass.
Step-by-step explanation:
9514 1404 393
Answer:
16 moles
Step-by-step explanation:
At the same pressure and temperature, double the volume will hold double the quantity of gas. There will be 16 moles of oxygen if the volume is doubled at the same temperature and pressure.
????????? help ?????????? please
Answer:
(y-x=1.75)×2
2y-2x=3.5
2y-2x+4x-2y=3.5+4
2x. =7.5
X=3.75
y-x=1.75,
y. =1.75+3.75
y=5.5
solve for y 2/x - 3/y = 1/z
Answer:
\( \frac{2}{x} - \frac{3}{y} = \frac{1}{z} \\ \frac{2}{x} - \frac{1}{z} = \frac{3}{y} \\ y = \frac{3}{\frac{2}{x} - \frac{1}{z} } \\ y = \frac{3xz}{2z - x} \)
The measure of
an exterior angle
of a regular
octagon is x + 10.
Find x.
Answer:
x = 35
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
Then
1 exterior angle = 360° ÷ 8 = 45° , so
x + 10 = 45 ( subtract 10 from both sides )
x = 35
The value of x for the octagon considering the value of the exterior angle is; x = 35°
What is the exterior angle of a Polygon?
The sum of the exterior angles of a regular polygon is 360°
Now, we are told that the measure of an exterior angle of a regular polygon is (x + 10)°. Thus;
For an octagon, we have;
8(x + 10)° = 360°
8x + 80 = 360
8x = 360 - 80
8x = 280
x = 280/8
x = 35°
Thus, the value of x for the interior angle is 35°.
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I need help with this
Jeremy caught 8 fish in a contest the mean weight of his fish was 4.1375. he forgot the weight of he 8th fish the first seven were 4.1 5.7 6.1 2.3 3.1 4.5 4.1 what is the wight of the 8th fish someone please help me i don't understand
Answer:
Step-by-step explanation:
Firstly,
What is the mean?
The mean is where you add up all the number then divide the total by how many numbers there are.
8th number?
1.4.1
2. 5.7
3. 6.1
4. 2.3
5. 3.1
6. 4.5
7. 4.1
8. x
Opposite way:
4.1 + 5.7 + 6.1 + 2.3 + 3.1 + 4.5 + 4.1 = 29.9
(29.9 x) / (8) = 3.7375
3.7375 + x = 4.1375
4.1375 - 3.7375 = 0.4
Let f(x) = ax3 . Calculate f(x+h)−f(x) h for h 6= 0. After you obtain your answer, evaluate it again by setting h = 0.
To calculate \(\frac{{f(x+h) - f(x)}}{h}\) for the function \(f(x) = ax^3\), we need to substitute the expressions into the formula and simplify.
\(f(x+h) = a(x+h)^3\\\\f(x) = ax^3\)
Now we can calculate the difference:
\(f(x+h) - f(x) = a(x+h)^3 - ax^3\)
Expanding \((x+h)^3\):
\(f(x+h) - f(x) = a(x^3 + 3x^2h + 3xh^2 + h^3) - ax^3\)
Simplifying:
\(f(x+h) - f(x) = ax^3 + 3ax^2h + 3axh^2 + ah^3 - ax^3\)
The terms \(ax^3\) cancel out:
\(f(x+h) - f(x) = 3ax^2h + 3axh^2 + ah^3\)
Now we can divide by h:
\(\frac{{f(x+h) - f(x)}}{h} = \frac{{3ax^2h + 3axh^2 + ah^3}}{h}\)
Canceling out the common factor of h:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3axh + ah^2\)
Now, we evaluate this expression again by setting h = 0:
\(\frac{{f(x+h) - f(x)}}{h} = 3ax^2 + 3ax(0) + a(0)^2\)
\(= 3ax^2\)
Therefore, when we evaluate the expression by setting h = 0, we get \(3ax^2\).
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A toy box is 5 feet long, 24 inches wide and 30 inches high. What is the volume of the toy box in cubic feet?
Answer:
25 cubic feet
Step-by-step explanation:
You need to convert all units to feet and then multiply the dimensions.
24 inches is 2 feet
30 inches is 2.5 feet
So, you would multiply 5X2X2.5= 25.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
I believe the answers are the first one and the third one.
Step-by-step explanation:
If each of Enid's jogs are proportional, then if she decided to plot each jog on a graph (the third answer) the line would need to go through the origin, have the same unit rates, and the line would be straight, finding her answer.
Also, if the ratio is always the same (the first one) on a table, then I am pretty positive it would be proportional.
If the linear transformation T(x)=Ax is onto, then it is also one-to-one.
False.
If the linear transformation T(x) = Ax is onto (also known as surjective), it means that for every vector y in the output space of T, there exists at least one vector x in the input space of T such that T(x) = y.
If the linear transformation T(x) = Ax is onto (also known as surjective), it means that for every vector y in the output space of T, there exists at least one vector x in the input space of T such that T(x) = y. However, this does not necessarily imply that T(x) is one-to-one (also known as injective).
To see why, consider a simple example where A is a 2x2 matrix such that A = [1 0; 0 0]. The linear transformation T(x) = Ax maps a 2-dimensional vector x to a 2-dimensional vector Ax, and its matrix representation is given by:
| 1 0 |
| 0 0 |
This transformation is onto, since every vector y in the output space of T can be written as y = Ax for some vector x in the input space of T. However, T(x) is not one-to-one, since T([1 1]) = T([2 0]) = [1 0], which means that two different input vectors map to the same output vector.
Therefore, the statement "if the linear transformation T(x) = Ax is onto, then it is also one-to-one" is false. In fact, a linear transformation is one-to-one if and only if its null space (also known as kernel) is trivial, which means that the only vector that maps to the zero vector is the zero vector itself.
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What is the answer to 5x + 4 + 3x + 2
Answer:
simplify the equation
5x+3x
4+2
8x+6
The answer will be 8x+6
Question below, please answer if you know :)
The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.
What are the coordinates of the vertices of the image derived from transformation rules?
In this question we know the coordinates of the three vertices of the triangle, whose image must be generated by combining reflection across y-axis and translation, two kinds of rigid transformations, whose formulas are summarized below:
Reflection across y-axis
P'(x, y) = P(x, y) + (- 2 · p, 0) (1)
Translation
P'(x, y) = P(x, y) + T(x, y) (2)
Where:
P(x, y) - Original pointP'(x, y) - Resulting pointT(x, y) - Translation vectorp - x-Coordinate of the original point.If we know that A(x, y) = (1, - 3), B(x, y) = (5, - 1) and C(x, y) = (2, - 5), then the final coordinates are:
Reflection across y-axis
A'(x, y) = (1, - 3) + (- 2, 0)
A'(x, y) = (- 1, - 3)
B'(x, y) = (5, - 1) + (- 10, 0)
B'(x, y) = (- 5, - 1)
C'(x, y) = (2, - 5) + (- 4, 0)
C'(x, y) = (- 2, - 5)
Translation
A''(x, y) = (- 1, - 3) + (4, 5)
A''(x, y) = (3, 2)
B''(x, y) = (- 5, - 1) + (4, 5)
B''(x, y) = (- 1, 4)
C''(x, y) = (- 2, - 5) + (4, 5)
C''(x, y) = (2, 0)
The final coordinates of the triangle are A''(x, y) = (3, 2), B''(x, y) = (- 1, 4) and C''(x, y) = (2, 0), respectively.
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Zoe runs a market in the city of Manila. Half of the canned drinks in stock were sold out. Zoe bought 68 more canned drinks to restock her supply. If there is a total of 200 cans now, how many canned drinks were in stock initially?
Answer:
264 canned drinks
Step-by-step explanation:
Let
canned drinks in stock initially = x
Canned drinks sold out = 1/2 of x
= 1/2x
Canned drinks remaining in stock = x - 1/2x
= 1/2x
New restock = 68 canned drinks
Total drinks in stock presently = Canned drinks remaining in stock + New restock
200 = 1/2x + 68
200 - 68 = 1/2x
132 = 1/2x
x = 132 ÷ 1/2
= 132 × 2/1
x = 264 canned drinks
canned drinks in stock initially = x = 264 canned drinks
Joey has a storage cabinet in the shape of a rectangular prism with a base length of 3 feet, a base width of 2 feet, and a height of 8 feet.
A. Joey is going to paint the lateral area and the top of the storage cabinet, but he will not paint the bottom on which it sits. What is the surface area of the storage cabinet that Joey is going to paint?
B. What is the total surface area of the cabinet, which includes the bottom?
C. Find the volume of the cabinet to determine the amount of space Joey will have to use if he wants to fill the cabinet with supplies?
Answer: 592
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(8*10+12*10+12*8)=592
sharon said she spent 5/7 of her clothing allowance on a winter. if she was givan a $70 clothing allowance, how much was the coat
Answer:
$50
Step-by-step explanation:
1. First you need to divide 70 by 7.
2. Your answer should be 10.
3. You then need to multiply the product, 10 by 5.
4. You answer should be 50 and because we are using this in a money situation the answer is $50.
Answer:
50
Step-by-step explanation:
A candy bar is (3)/(4 ) of and inch long. If it is dvided into pieces that are (1)/(8) of and incs long, how many pieces is that?
The candy bar can be divided into 6 pieces.
We have,
To find the number of pieces that can be obtained from a candy bar, we need to divide the length of the candy bar by the length of each piece.
Given:
Length of the candy bar: (3/4) of an inch
Length of each piece: (1/8) of an inch
To find the number of pieces, we divide the length of the candy bar by the length of each piece:
Number of pieces = (Length of the candy bar) / (Length of each piece)
Number of pieces = (3/4) / (1/8)
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
Number of pieces = (3/4) * (8/1)
Simplifying the fraction:
Number of pieces = (3 * 8) / 4
Number of pieces = 24 / 4
Number of pieces = 6
Therefore,
The candy bar can be divided into 6 pieces.
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An elephant charged 13.3 meters in 15seconds. At this rate, how far would theelephant move if it could charge for 1minute? (15 seconds = minute)
Answer:
53.2 m/min
Step-by-step explanation:
I'm not sure if (15 seconds = minute) is part of the question.
Because 15 seconds is not minute. 60 seconds is in a minute
if (15 seconds = minute) then the answer's just 13.3 m/min?? That makes no sense
so assuming 60seconds = min
13.3/15s * 60s/min would be 13.3*4 = 53.2
Other way to think about this is to say to yourself if elephant moved 13.3 meter in 15 seconds how many meter would they go in 1 minute(which would be 4x longer).
Answer:
53.2 meters
Step-by-step Explanation:
If an elephant charged 13.3 meters in 15 seconds, to calculate the distance charged by the elephant in one minute we do the following:
15 seconds by 13.3 meters and 1 minute (60 seconds) by x
Note: Why x and why set up this way? We need to figure out how far it traveled in 1 min aka 60 seconds, so if we set up what we know (16 by 13.3) we can cross multiply to figure out the ratio and get our answer :D
also written as:
\(\frac{15}{13.5} = \frac{60 [1 min]}{x}\)
(time on top and distance on bottom!)
Cross multiply:
15 * x = 13.3 * 60
15x = 798
Divide both sides by 15
5x/15 = 798/15
x = 53.2 meters
So the elephant will charge 53.2 meters for 1 minute!
Hope this helps, have a nice day! :D
(I said I couldn't do it and left it in the comments, but now it is letting me!)
Who likes math?AAAAAAAAA
Answer:is this a literal question?
Step-by-step explanation:
if so than it depends on the subject for me
Write a function $\verb#most_common_letter(string)#$ that determines the most commonly occurring letter in the input string. (If more than one letter is tied, it doesn't matter which one you return.) You should consider upper and lower case as the same letter. For example, $\verb#most_common_letter('This is a test of the function I have written')#$ should return 't', because 't' occurs 7 times, more than any other letter -- it occurs once as 'T' and 6 times as 't'.
Answer:
I am writing a Python program:
def most_common_letter (string): #function that takes a string as argument and returns the most commonly occurring letter in string
string = string.lower() # converts the string into lower case
inp_string="".join(string.split()) #splits the string in to a list and joins the elements of the list
maximum = 0 #sets the value of maximum to 0
letter = "" #stores the most commonly occurring letter
length = len(inp_string) #returns the length of the input string
counter = 0 #counts the occurrences of the letter in the string
for i in range(0, length): # iterates through the length of string
j = 0 #initializes j to 0
char = inp_string[i] # holds letter of input string at index position i
while length > 0: # iterates until the length of string exceeds 0
if (char == inp_string[j]): # if letter in char is equal to letter at index j of the string
counter += 1 #adds 1 to the count
j += 1 #increments j by 1
length -= 1 #decrements value of length by 1
if (maximum <= counter): #if maximum value is less than counter
maximum = counter #sets the maximum number of occurrences of a letter to maximum
letter = char #sets the most occuring letter in string to letter
return letter #returns the most commonly occurring letter in the input string
#in order to check if the function works properly use following statement
print(most_common_letter("This is a test of the function I have written")) #calls most_common_letter method by passing a string to it
Step-by-step explanation:
The program works as follows:
I will explain this with the help of an example. Suppose the string is:
string = "hello worLd"
first this string is converted to lowercase using lower() method. So the string becomes:
string = "hello world"
Next the string is split into a list using split() method. The string becomes:
['hello', 'world']
Then using join() this string is joined together on the basis of "" empty space
So the string becomes
helloworld
This string is assigned to the inp_string variable. Hence
inp_string = "helloworld"
The value of maximum is initialized to 0 and variable letter is also declared
which holds the most commonly occurring letter in the inp_string
len function is used to get the length of the inp_string
counter is initializes to 0. This counts the number of times the letter occurs in a string
The for loop iterates through the inp_string
Inside the loop the statement char = inp_string[i] sets the letter at the i-th index of inp_string to char.
i is initialized to 0 so inp_string[i] is inp_string[0] which is the first element of the string i.e. "h".
The program control then moves to the while loop. As length>0 so the program moves to the body of while loop which has an if statement: if (char == inp_string[j]):
This checks if the letter stored in char is equal to the letter at j-th index of the string. Now as j is initialized to 0. So
if (char == inp_string[0]): this evaluates to true and value of counter is incremented to 1. Next value of j also incremented to 1 and length of string is decremented to 1 Hence
counter = 1
j = 1
length = 9
Next if (maximum <= counter): condition checks if value of maximum is less than or equal to counter. It is true because maximum=0 and counter =1
So maximum = counter assigns counter value to maximum and letter = char assigns char to letter which was initially empty.
maximum = 1
letter = 'h'
At occurrence each iteration each letter in a string is counted and the letter that occurs the most in the string is returned by the function. For the above example hello world, letter l appears 3 times in the string and it is the most commonly occurring letter in the input string. So letter "l" is returned by this function. Hence the output of this program is l.