Answer: Choice A
False, because a logarithmic function is defined only for positive real numbers.
===========================================================
Explanation:
Using your calculator, you should see that ln(0) is undefined or it leads to some kind of error. The same happens when you try ln(-1) or any other negative number. So ln(x) only allows x > 0. This applies to any log function, and not just the natural log function.
This is why choice A is the answer. Choice B is close, but the use of "non-negative" is not correct because that means 0 is involved. But as explained above, 0 is not allowed as part of the domain.
-----------------
Extra info (optional section)
As for why 0 and negative numbers are not allowed, you have to look carefully at what logs are designed for. They were formed to help solve exponential equations. Consider the following equation
2^x = 16
We could do guess and check to see which value would replace x. You should find that x = 4 is the solution. Though another way to solve is to use logs. The given equation converts to the log form of [tex]x = \log_2(16)[/tex]; note how the number inside the parenthesis is positive. We can't have 2^x equal to a negative value, due to powers of a positive number being a positive result. So that's why we rule out negative numbers as part of the domain. Zero is excluded for similar reasoning.
Answer:
negative infinity
positive infinity
Step-by-step explanation:
edg 2022
What is an unsolvable problem?
As a result, it may be shown that the answer to the algorithm problem at hand is a halting problem, which is indecidable and thus impossible to solve.
Algorithm : what is it ?No matter the circumstance, algorithms are fundamentally problem solvers of expression ; they exist to identify, resolve, and frequently automate of solution to a specific problem. Algorithms are frequently introduced in area introductory textbooks by characterizing them as "a series of steps to complete a problem."
Here,
one of the most common problems that hasn't been solved is the stopping problem. It asks the following question:
Does M come to a standstill when given the input w for any Turing machine with the parameters alphabet = a, b, and any string w over
It can be shown that the halting problem cannot be resolved since it is indecisive.
As a result, it may be shown that the answer to the algorithmic problem at hand is a halting problem, which is indecidable and thus impossible to solve.
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An administrator of a large middle school is installing some vending machines in the school.
She wants to know what type of machine would be most popular.
a. What is the population for the administrator's question?
b. Give an example of a sample the administrator could use to help answer her question.
150 people went to see "Ode to Algebra" performed in the school auditorium. If the number of children that attended the performance was c, how many adults attended?
Answer:
150-c
Step-by-step explanation:
150= total
c= children
adults=x
x=150-c
Mhanifa please help! This is due soon
Answer:
1) x²=256-64
x=8√3
2). x²=200+81
x=√281
3). x²=169+36
x=√205
3).
Step-by-step explanation:
here's your solution
==> in figure 1,
= perpendicular^2 = hypotenuse^2 - base^2
= x^2 = 16^2 - 8^2
= x^2 = 256 - 64
= x^2 = 192
= x = √192
= x = 13.85
==> in figure 2,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 40^2 + 9^2
= x^2 = 1600 + 81
= x^2 = 1681
= x = √1681
= x = 41
==> in figure 3,
= hypotenuse^2 = Perpendicular^2 + base^2
= x^2 = 13^2 + 6^2
= x^2 = 169 + 36
= x^2 = 205
= x = √205
= x = 14.31
[tex]hope \: it \: helps.....[/tex]
Show that f is continuous on (−[infinity], [infinity]). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1
On the interval
(−[infinity], 1),
f is function; therefore f is continuous on
(−[infinity], 1).
On the interval
(1, [infinity]),
f is function; therefore f is continuous on
(1, [infinity]).
The function [tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex] is continuous on (-∞, ∞).
As per the given data the function f(x) is given by:
[tex]$$f(x)= \begin{cases}1-x^2 & x \leqslant 1 \\ \ln (x) & x \geqslant 1\end{cases}$$[/tex]
Here we have to determine that the function f(x) is continuous on (-∞, ∞)
If we show that f(x) is continuous at x = 1 then f(x) is continuous on (-∞, ∞)
What are continuous function?
A continuous function in mathematics is one where changes in the parameter cause constant changes in the function's value (i.e., a change without a leap). This shows that there are no abrupt changes in value or discontinuities.
To show f(x) is continuous at x = 1
[tex]\lim _{x \rightarrow 1^{-}} f(x)=\lim _{x \rightarrow 1^{+}}[/tex] f(x)
[tex]\rightarrow \lim _{x \rightarrow 1^{-}} f(x) & =\lim _{x \rightarrow 1^{-}}\left(1-x^2\right) \\[/tex]
= 1 - 1
= 0
[tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{+}} \ln (x) \\[/tex]
= ln 1
= 0
Therefore [tex]\lim _{x \rightarrow 1^{+}} f(x) & =\lim _{x \rightarrow 1^{-}} f(x)-0[/tex].
Hence f(x) is continuous on (-∞, ∞)
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I’ll give brainliest
Answer:
Step-by-step explanation:
P of red or green = (40 red+ 10 green)/ (40 red +50 yellow+10 green)
= 50/ 100= 1/2
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
The Answer is A. 8
Explanation:
For Answer Choice A:
There's nothing to explain here. It's just the number 8.
For Answer Choice B:
2 · 2 · 2 · 2 is 16. That symbol ( · ) is another way of writing the multiplication symbol. So this problem is essentially 2 x 2 x 2 x 2, which equals 16.
For Answer Choice C:
Well, this one needs no explanation either. It's just the number 16.
For Answer Choice D:
[tex]2^{4}[/tex] is also equal to 16. I'm too lazy to explain how to do this one so yea.
Hope this helps you. Uh, yea. Have a good day? omg I'm so tired
Select the correct volume.
A brick has a base area of
of 384
square inches and a height of 22 inches. What is the volume of the brick?
40
3
cubic inches
4.
15
cubic inches
10
5
95 cubic inches
8
1
239
Cubic inches
16
Answer:
the answer is 10 5. you welcome
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
u can download the gauthmath app it's very helpful i PROMISE :)
Answer: Answer: −9±√−255/ 24
Step-by-step explanation:
12a2+9a+7=0
a=12, b=9, c=7
12a^2+9a+7=0
a=12, b=9, c=7.
−b±√b2−4ac/ 2a
−(9)±√(9)2−4(12)(7)/ 2(12)
Can you let me know the answer please
Answer:
The answer is A
Step-by-step explanation:
When looking at this image, look at A, notice how it says y and the equal to symbol is facing it? then notice at the end of answer a is -4, look at the graph and the line intercepts -4, remeber, the end number, whether positive or negative will always be the on the y axis
( 1/2 ) ^2
HELP!
ME!
Answer:
1/4 is the answer
just multiply 1/2 x 1/2
hope this helps
have a good day :)
Step-by-step explanation:
How do I solve these problems?
Answer:
1.) The 1ˢᵗ three term is (-32), (-7) and 18
2.) The 1ˢᵗ three term is 127, 106 and 85
Step-by-step explanation:
1.)Here,
First Term = a₁ = - 32
Common Difference = (d) = 25
Now, For 1ˢᵗ three term,
n = 1
a₁ = - 32
n = 2
aₙ = a + (n - 1)d
a₂ = (-32) + (2 - 1) × 25
a₂ = (-32) + 1 × 25
a₂ = (-32) + 25
a₂ = -7
n = 3
aₙ = a + (n - 1)d
a₃ = (-32) + (3 - 1) × 25
a₃ = (-32) + 2 × 25
a₃ = (-32) + 50
a₃ = 18
Thus, The 1ˢᵗ three term is (-32), (-7) and 18
2.)Here,
First Term = a₁ = 127
Common Difference = (d) = -21
Now, For 1ˢᵗ three term,
n = 1
a₁ = 127
n = 2
aₙ = a + (n - 1)d
a₂ = 127 + (2 - 1) × (-21)
a₂ = 127 + 1 × (-21)
a₂ = 127 - 21
a₂ = 106
n = 3
aₙ = a + (n - 1)d
a₃ = 127 + (3 - 1) × (-21)
a₃ = 127 + 2 × (-21)
a₃ = 127 - 42
a₃ = 85
Thus, The 1ˢᵗ three term is 127, 106 and 85
-TheUnknownScientist
Carl wants to find the product 30×56.
Which of the following best explains how he can find the product mentally?
A.
He knows that 30÷5 is 6. He then multiplies 6 by 6 to get 36.
B.
He knows that 30×66is 30. He then subtracts 1 from 30 to get 29.
C.
He knows that 3×6=18. He then adds 18 and 5 to get 23.
D.
He knows that 30×16is 5. He then multiplies 5 by 5 to get 25.
Answer:
Your answer will be D. He knows that 30 × 16 is 5 then multiples 5 by 5 to get 25.
A scale drawing of a square has a side length of 8 inches. The drawing has a scale of 1 in. : 6 mi. Find the actual perimeter and area of the square.
Perimeter $=$
mi
Area $=$
mi $^2$
Answer:
192 mi
2,304 mi²
Step-by-step explanation:
actual side length = 8×6 = 48 mi
so, perimeter of square = 4 × 48 = 192 miles
the area of square = 48×48 = 2,304 sq miles
Pythagorean Theorem & irrational Numbers Question
Which of the following could not be the lengths of sides of a
right triangle?
Select one:
8, 10, 12
6, 8, 10
9, 12, 15
8, 15, 17
Answer:
2nd
Step-by-step explanation:
anyone tell me the answer
Answer:
3 hour and 245 minutes
2 hour and 165 minutes
4 hour and 270minutes
4 hour and 285 minutes
Step-by-step explanation:
i hope it helps you....
A right rectangular prism is sliced parallel to the base. What is the area of the resulting two-dimensional cross-section?
Answer:
The area of the resulting two-dimensional cross-section is 12 cm².
Step-by-step explanation:
The area of the cross-section of the right rectangular prism, parallel to the base, is given by the area of a rectangle:
[tex] A_{cs} = A_{r} = a*b [/tex]
Where:
[tex] A_{cs}[/tex]: is the area of the cross-section
[tex] A_{r} [/tex]: is the area of a rectangle
a: is the length of one side of the rectangle = 4 cm
b: is the length of the other side of the rectangle = 3 cm
Hence, the area of the cross-section is:
[tex] A_{cs} = a*b = 4 cm*3 cm = 12 cm^{2} [/tex]
Therefore, the area of the resulting two-dimensional cross-section is 12 cm².
I hope it helps you!
Please answer the question in the picture and show your work! I got tan= square root of 2 but I’m not sure if that’s right and if there’s more answers since it wants all values of tan. This is due tomorrow please help!
Answer:
tan(θ) is undefined.
Step-by-step explanation:
Recall that tan(θ) = sin(θ) / cos(θ). We are given that sin(θ) = -1. Hence:
[tex]\displaystyle \tan\theta=\frac{\sin\theta}{\cos\theta}=-\frac{1}{\cos\theta}[/tex]
Since 1 / cos(θ) = sec(θ):
[tex]\tan\theta=-\sec\theta[/tex]
We can square both sides:
[tex]\tan^2\theta=\sec^2\theta[/tex]
From the Pythagorean Identity:
[tex]\tan^2\theta+1=\sec^2\theta[/tex]
Substitute:
[tex]\tan^2\theta+1=\tan^2\theta[/tex]
So:
[tex]1\neq0[/tex]
Since we acquire an untrue statement, no solutions exist.
If needed, refer to the unit circle. Recall that sin(θ) only equals -1 when θ = 3π/2 (on the interval [0, 2π)). At 3π/2, cos(θ) = 0. Since tan(θ) = sin(θ) / cos(θ), tan(θ) is undefined whenever sin(θ) = -1 (or 1).
Write 1 and 3/8 as an improper fraction.
1 3/8 as an improper fraction is 11/8
Answer:
1 3/8 = 11/8 as a improper answer
Step-by-step explanation:
You have to make your whole number into a numerator along with your original numerator.
Improper fraction: When your numerator is greater than your denominator.
A bakery sells chocolate cupcakes and vanilla cupcakes. It sold 400 cupcakes in a day,
and 17% of them were vanilla. How many of the cupcakes sold that day were
chocolate?
Answer:
332 chocolate cupcakes.
Step-by-step explanation:
17% of 400 = 68
400 - 68 = 332
I am giving away 10 points to anybody who provides correct answers with explanations.
Answer:
[tex]5)\ f(n) = 4v[/tex]
[tex]6)\ \frac{1}{4}n[/tex]
[tex]7)\ True[/tex]
This might not be correct though. I'm only in middle school lol. I am sure about the last one.
How to read linear equations?
To read a linear equation, first, identify the constants and the variable, then determine the coefficient of the variable.
A linear equation is an equation that contains two variables and can be written in the form of ax + b = 0, where 'a' and 'b' are constants and 'x' is the variable. This coefficient will indicate how the variable is related to the constants. Then, solve the equation by isolating the variable to determine its value.
To read a linear equation, start by identifying the constants and the variable. The constant is the numerical value that is not connected to the variable. For example, in the equation "2x + 4 = 0", the constants are '2' and '4'. The variable is the letter that represents the values that can change. In this equation, the variable is 'x'.
Next, determine the coefficient of the variable. The coefficient is the numerical value in front of the variable. It represents how the variable is related to the constants. In this example, the coefficient of 'x' is '2'. This means that the value of 'x' will be twice as much as the constants.
Once the constants, variables, and coefficients have been identified, the equation can be solved.
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Mrs. Avery is going to randomly select one student from her class to read a poem out loud. There are 15 boys and 13 girls in her class.
What is p (boy)?
If necessary, round your answer to 2 decimal places.
Answer:
53.57%
Step-by-step explanation:
P(boy) = 15/28 which is 53.57%
Answer:
1.87
Step-by-step explanation:
I found another brainly answer to this question.
What are the 3 types of trigonometry?
the main three types of trigonometry are ,
1- sine angle (sin Q)
2- cosine angle (cos Q)
3- tangent angle (tan Q)
all the other types of trigonometry are related to these three types only.
sine angle
we can find out the sine angle by taking perpendicular of the triangle divided by hypotenuse of the triangle. sine angle is a acute angle.
cosine angle
we can find out the cosine angle by taking base of the triangle divided by hypotenuse of the triangle. cosine angle is a acute angle.
tangent angle
we can find out the sine angle by taking perpendicular of the triangle divided by base of the triangle.
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PLEASE HELP NOW THANK YOU<3
Answer:
sheeeeeeeeeesh
Step-by-step explanation:
Answer:
y = -4/5x +1
Step-by-step explanation:
Slope formula says that y=mx+b.
In terms of words, it means that y is equivalent to slope times x plus the y-intercept.
Slope= rise/run. You rise 4 and run 5. (which is 4/5) However, the slope is negative so be careful with that.
We know the y intercept is 1 so replace that for b.
Put it together and you get y=-4/5x+1
hope this helps!!
Help.....ASP Please help right now
The triangle with side lengths given in the question can be classified as a scalene triangle.
What is a scalene triangle?A scalene triangle is a type of triangle in which none of its three given length of sides are equal. It can be differentiated from other types with respect to this property.
A triangle is a plane shape which can be described by three sides and three measure of internal angles. Some other types of triangle are: equilateral, obtuse, isosceles etc. The sum of all internal angles of a triangle is 180^o
Considering the given length of sides in the question, it can be proven the the only type of triangle that can be formed is a scalene triangle. Therefore, the triangle can be classified as a scalene triangle.
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Gerry is reading a book that has 475 pages. He already read some of it last week. He plans to read 160 pages tomorrow. By then, he will be 4/5 of the way through the book. How many pages did Gerry read last week? Which equation bests represents the situation?
w + 160 = (4/5) 475
w + 20 = (2/3) 276
475 = 160 - (4/5) b
58, 72, 74, 92, 84, 40, 74, 81, 76, 83 What was the maximum score earned on Mr. Hill's final exam
Answer:
92
Step-by-step explanation:
Max= biggest number, surely?
Find the 66th term of the arithmetic sequence 25, 10, -5, ...
On solving the provided question, we can say that - The provided arithmetic sequence's 66th term is -950.
Arithmetic sequence is what?An arithmetic sequence is a set of integers that are ordered and have a common difference between each following word.An ordered group of integers with a shared difference between each word is known as an arithmetic sequence.
The given arithmetic sequence is,
25, 10, -5, .....
The sequence's initial word, a, equals 25, while the common difference, d, equals -15.
Use the formula nth term of arithmetic series = a+ (n-1)d to determine the 66th term of the sequence.
66th term =
[tex]25 + (66-1)(-15)\\ = 25 + 65× (-15)\\ = 25 - 975\\ = -950\\[/tex]
The 66th term of the arithmetic sequence is -950.
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I'm going to try this one more time...
Which of these characteristics of a star make it most likely to become a black hole? Select the TWO!!!! correct answers.
A. Its mass is equal to that of the sun.
B. It has an abundant supply of hydrogen.
C. Its mass is greater than 20 times the mass of the sun.
D. It is dying.
Answer and Step-by-step explanation:
C and D is the answer.
It needs a lot of mass so that it can collapse on itself to form a black hole, and when it dies, it also collapses on itself, forming a black hole.
A is incorrect because the mass of our sun hasn't made it to collapse, and it still has some billions of years before the mass increases.
B is incorrect because the hydrogen needs to be depleted in order for the sun/star to start the nuclear process.
#teamtrees #PAW (Plant And Water)