what does f^-1(x) equal
\(Answer:\ f^{-1}(x)=\boxed{6^{-x}}\)
Step-by-step explanation:
\(\displaystyle\\f(x)=6^x\\\\f^{-1}(x)=(6^x)^{-1}\\\\f^{-1}(x)=\frac{1}{6^x} \\\\f^{-1}(x)=6^{-x}\)
Order the numbers from least to greatest.
1,553
1,347
1,644; 1,553; 1,347
b. 1,347; 1,553; 1,644
1,644
a.
C.
1,553; 1,347; 1,644
Please select the best answer from the choices provided
Ο Α
Ο Ο Ο
B
Answer:
b even though you made this hard to read lol, its b
Step-by-step explanation:
The event of you going to work is a and the event of you taking leave is b. if these events are mutually exclusive events, using p(a)=0.55, and p(b)=0.10, what is p(a|b)?
The events are mutually exclusive events, so P(A|B) is 0.
In this question,
If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then
⇒ A ∩ B = 0
Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)
⇒ \(\frac{0}{0.10}\)
⇒ 0.
Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.
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Identify the slope(m) AND y-intercept(b) of the equation.
y=−54x−1
PLS HELP THIS IS A TIMED TEST
_____ consists of a series of 0s and 1s representing data or instructions.
The series of 0s and 1s representing data or instructions is called binary code. It is the foundation of digital communication and computing systems. Each binary digit, or bit, can be thought of as a switch that is either off (0) or on (1), allowing for the representation of complex information.
Binary code is a system used to represent data or instructions using only two symbols: 0 and 1. It is the foundation of digital communication and computing systems. Each digit in binary code is called a bit, which is short for "binary digit." Bits can be thought of as switches that can be in one of two states: off (0) or on (1).
By arranging these bits in different patterns, we can represent and manipulate complex information. For example, in binary code, the letter "A" is represented as 01000001. This binary representation allows computers to process and store information using electronic circuits that can easily interpret and manipulate 0s and 1s.
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Jacob has a spinner with five equal-sized sections, labeled 4–8, as shown below.
What is the probability of spinning a number greater than 5?
To determine the probability of spinning a number greater than 5 on Jacob's spinner, we need to analyze the given information.
The spinner has five equal-sized sections, labeled 4–8. To find the probability of spinning a number greater than 5, we need to determine the number of favorable outcomes (numbers greater than 5) and divide it by the total number of possible outcomes.
The numbers greater than 5 on the spinner are 6, 7, and 8. Therefore, there are three favorable outcomes.
The total number of possible outcomes is given by the number of sections on the spinner, which is five.
Now, we can calculate the probability:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 3 / 5
Probability = 0.6
Therefore, the probability of spinning a number greater than 5 on Jacob's spinner is 0.6 or 60%.
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A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree. How tall is the tree?
Given:
A bird was sitting 16 feet from the base of an oak tree and flew 20 feet to reach the top of the tree.
To find:
The length of the tree.
Solution:
A bird was sitting 16 feet from the base of an oak tree.
Vertical distance between bird and base = 16 feet
Then the bird flew 20 feet to reach the top of the tree.
Now, the vertical distance between bird and base = (16+20) feet
So, length of the oak tree is it the sum of 16 feet and 20 feet.
\(\text{Length of the oak tree}=16+20\) feet
\(\text{Length of the oak tree}=36\) feet
Therefore, the length of the oak tree is 36 feet.
Write a quadratic function to model the graph to the right.
Answer:
f(x) = (x - 2)² + 2
Step-by-step explanation:
The vertex form of the quadratic function is:
f(x) = a(x - h)² + k
where:
(h, k) = vertex
The axis of symmetry is the imaginary vertical line where x = h
a = determines whether the graph opens up or down, and how wide or narrow the graph will be.
h = determines the horizontal translation of the parabola.
k = determines the vertical translation of the graph.
Given the vertex occurring at point (2, 2), along with one of the points on the graph, (4, 6):
Substitute these values into the vertex form of the quadratic function:
f(x) = a(x - h)² + k
6 = a(4 - 2)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides:
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4:
4/4 = 4a/4
1 = a
Therefore, the quadratic function in vertex form is: f(x) = (x - 2)² + 2
Vika can run a mile in 15 minutes, Sandy can run 3
miles in 30 minutes, and Hyun can run 4 miles in
28 minutes. Who can run the fastest mile?
Answer:
Hyun
Step-by-step explanation:
Vika: 1= 15 minutes
Sandy: 1= 10 minutes
Hyun: 1= 7 minutes
Answer:
Hyun
Step-by-step explanation:
Vika: 1= 15 minutes
Sandy: 1= 10 minutes
Hyun: 1= 7 minutes
There are 6,000 hotel rooms in Sean's city. During a convention, 4,200 of the hotel rooms were occupied. What percentage of the hotel rooms in the city were occupied during the convention?
Answer:
70% of the hotel rooms were occupied during the Convention
Step-by-step explanation:
4200 / 6000
= 0.7
0.7 = 70%
Help me with this q uesitpn please
there are 1/4 we're strawberry how many strawberry in total
Answer: Heyaa! ~
Your Answer is... 1/4 = 14 = 0.25 or as a whole number 25.
Step-by-step explanation:
Spelled out: One quarter.
Hopefully this helps you! ~
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer: 5x = 10
Hope this helped =)
Answer: 5x=10
x=2
Step-by-step explanation:
2(5x+4/2)=7(2)
5x+4=14
-4 -4
5x=10
x=2
please answer fast its due tomorrow
is √1/9 greater less than or equal to 1/4
Answer:
Greater:
\(\sqrt{1/9} > 1/4\)
Step-by-step explanation:
\(\sqrt{\frac{1}{9} } =\frac{\sqrt{1} }{\sqrt{3} } =\frac{1}{3}\)
1/3 is greater than 1/4
Hope this helps
4. Consider two points A(0,0) and B(0,L) on the xy-plane for some positive distance L. Find the electric field E(2L,4L) under the following conditions. (a) Point charges +Q and −Q are put at A and B, respectively. (b) Infinite line charges of densities +rho
L
and −rho
L
are put at A and B, respectively. The line charges are parallel to the z-axis. Keep all the expressions in the rectangular coordinate system
Given information: Two points A (0, 0) and B(0, L) on the by-plane for some positive distance L. Electric field E (2L, 4L) has to be found for the following conditions: (a) Point charges +Q and −Q are put at A and B, respectively.
Coulomb's law is given as'
= \(1/4πε₀ Q₁Q₂/r²\)
where ε₀ is the permittivity of free space.
Electric field E
= F/Q₁ = 1/4πε₀ Q₂/r²
On substituting values in the above expression for part (a), we get,Let +Q = 2Q (as −Q = Q)
The distance between A and P is
\(r1 = √((2L)²+(4L)²) = 2L√5\)
The distance between B and P is
\(r2 = √(2L)²+(4L - L)² = 3L√2\)
The electric field due to −Q at P is
\(:E2 = 1/4πε₀ (-Q)/(3L√2)² = -Q/18πε₀L²\)
The electric field E
\(= E1 + E2 = Q/20πε₀L² - Q/18πε₀L² = -Q/180πε₀L²\)
For part (b), we use Gauss's law to calculate the electric field for an infinite line charge. Gauss's law is given by:
\(∮E.ds = Q/ε₀\)
The electric field Eat distance r from the line charge of density ρ is given Bye
= ρ/2πε₀rLet +ρ L = 2ρ L (as −ρ L = ρ L)
Charge Q₁ = length of line charge at A = Charge Q₂ = length of line charge at B = L
The distance between A and P is r1 = 2LThe distance between B and P is r2 = L
The electric field due to +ρ L at P is:
\(E1 = (2ρ L)/(2πε₀2L) = ρ L/πε₀\)
The electric field due to −ρ L at P is:
\(E2 = (-ρ L)/(2πε₀L) = -ρ L/2πε₀\)
The electric field
\(E = E1 + E2 = ρ L/πε₀ - ρ L/2πε₀ = ρ L/2πε₀\)
The required electric field at
\(E(2L, 4L) is -Q/180πε₀L²\)
for part (a) and ρ L/2πε₀ for part (b).
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100 POINTS COME HELP
Answer:
218
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
Use the normal approximation to find the indicated probability. The sample size is n, the population proportion of successes is p, and X is the number of successes in the sample.
n = 93, p = 0.48: P(X ≤ 48)
The probability that X is less than or equal to 48 is approximately 0.023.
To use the normal approximation, we first need to check if the conditions are met:
1. The sample size is large enough: n*p = 93*0.48 = 44.64 and n*(1-p) = 93*0.52 = 48.36, both greater than 10.
2. The observations are independent: we assume that the sample is random and that the sample size is less than 10% of the population size.
Given these conditions, we can use the normal distribution to approximate the binomial distribution.
We standardize X using the formula:
z = \((X - n*p) / \sqrt{(n*p*(1-p)) }\)
Substituting the values, we get:
z = (48 - 93*0.48) / sqrt(93*0.48*0.52) = -1.99
Using a standard normal distribution table or calculator, we can find the probability:
P(X ≤ 48) ≈ P(z ≤ -1.99) = 0.023
Therefore, the probability that X is less than or equal to 48 is approximately 0.023.
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please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
∠ R ≈ 39°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos R = \(\frac{adjacent}{hypotenuse}\) = \(\frac{RS}{QR}\) = \(\frac{61}{78}\) , then
∠ R = \(cos^{-1}\) (\(\frac{61}{78}\) ) ≈ 39° ( to the nearest degree )
The cost y (in dollars) for making friendship bracelets is y=0.5x+2 where x is the number of bracelets. Interpret the y-intercept and the slope.
please help, i will give brainliest
Answer:
13. (E) all of the above 14. (E) the diagonals bisect the angles at the vertices
Step-by-step explanation:
nicole ran 3/4 mile in a 1/4 hour how many miles can she run in one hour
Nicole ran :-
\( = \frac{3}{4} \: miles \: in \: \frac{1}{4} \: hours\)
Distance Nicole can run in one hour :-
\( = \frac{3}{4} \div \frac{1}{4} \)
\( = \frac{3}{4} \times \frac{4}{1} \)
\( = \frac{12}{4} \)
\( = 3 \: miles\)
Therefore , Nicole can run 3 miles in one hour .
If Nicole run 3/4 mile in a 1/4 hour, she can run in one hour is, 3 miles
What is the relation between time, distance & speed ?The distance covered by the object is equal to the product of the speed at which the object is moving and time taken for covering the distance.
Distance = Time × Speed
Given that,
Link ride his bike at a speed = ?
Time taken = 1/4 hour
Distance travelled = 3/4 miles
3/4 = 1/4 × Speed
Speed = 3 miles/hr
Time taken = 1 hour
Distance travelled = 3 × 1 = 3 miles
Hence, Nicole can run 3 miles
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HELP ME PLEASE!!!!!!!!!!
Answer:
2
Step-by-step explanation:
rise/run
4/2
2
Find two consecutive even integers such that 2 times the smaller integer is 44 less than 7 times the larger integer. Show your work here
The smaller even integer is 6. The next consecutive even integer would be 6 + 2 = 8.
Let's assume the smaller even integer as x. Therefore, the next consecutive even integer would be x + 2.
According to the given condition, "2 times the smaller integer is 44 less than 7 times the larger integer," we can write the equation as:
2x = 7(x + 2) - 44
Now, let's solve this equation step by step:
2x = 7x + 14 - 44
2x - 7x = -30
-5x = -30
x = -30 / -5
x = 6
So, the smaller even integer is 6. The next consecutive even integer would be 6 + 2 = 8.
Therefore, the two consecutive even integers are 6 and 8.
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what is the remainder of 14 divided by 54584
Paul received a coupon for 43 percent off one item at a clothing store let b be the original price of the item use the expression b-43 for the new price of the item write an equivalent expression by combining like terms
The equivalent expression for the new price of the item is 0.57b. With b be the original price of the item.
The original price of the item is represented by "b". Paul received a coupon for "43 percent" off one item at a clothing store. This means that the new price of the item will be the "original price" minus the discount. The discount is calculated by multiplying the original price by the percentage discount.
So, the discount is:
43 percent of b = 0.43 * b
The new price of the item is the original price minus the discount:
b - 0.43 * b = b - 0.43b
This expression can be simplified by combining the like terms. The like terms in this expression are b and -0.43b.
To combine like terms, we add the coefficients of the like terms:
1b + (-0.43)b = 0.57b
So, the equivalent expression for the new price of the item is:
0.57b
This means that the new price of the item is 57% of the original price. Therefore, the equivalent expression for the new price of the item is 0.57b.
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An electrician charges a set fee of $150 for every house call and then charges an additional $70 per hour. Write an equation for C,C, in terms of t,t, representing the total cost of the electrician's services if the electrician spends tt hours at the house working.
Answer:
Step-by-step explanation:
c=70t+150
What is
\( {3}^{ - 2} \)
as a fraction?
square root 2x-7 = 1
Answer:
4
Step-by-step explanation:
To solve for x in the equation:
√(2x - 7) = 1
We can start by isolating the square root by squaring both sides of the equation:
(√(2x - 7))^2 = 1^2
2x - 7 = 1
Next, we can isolate the variable by adding 7 to both sides of the equation:
2x = 8
Finally, we can solve for x by dividing both sides by 2:
x = 4
Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.
whats 2 + 2 ??!?!?!?!?!?!?!?
Answer:
4 duhh... Ur kidding me??
Answer:
22 because 2+2
Step-by-step explanation:
if we put 2 near 2 it will be 22 so the answer is 22