Answer:
C f(x)=log(x+2)
Step-by-step explanation:
To graph the function f(x) = log(x + 2), you can follow these steps:
Determine the domain: Since we have a logarithm function, the domain is the set of values that make the argument inside the logarithm positive. In this case, x + 2 > 0, so x > -2.
Determine any vertical asymptotes: Vertical asymptotes occur when the argument of the logarithm approaches zero or negative infinity. In this case, there is a vertical asymptote at x = -2 because the logarithm is undefined for x = -2.
Find the x-intercept: To find the x-intercept, set f(x) = 0 and solve for x:
0 = log(x + 2)
This equation implies that the argument of the logarithm must be equal to 1 (since log(1) = 0):
x + 2 = 1
x = -1
So the x-intercept is (-1, 0).
Choose additional points: Select some values of x within the domain and evaluate f(x) to get corresponding y-values. For example, you can choose x = -1, 0, 1, and 2.
When x = -1: f(-1) = log((-1) + 2) = log(1) = 0
When x = 0: f(0) = log(0 + 2) = log(2)
When x = 1: f(1) = log(1 + 2) = log(3)
When x = 2: f(2) = log(2 + 2) = log(4)
Plot the points: Plot the x-intercept at (-1, 0) and the additional points you've chosen.
Draw the graph: Connect the points with a smooth curve, keeping in mind the behavior around the vertical asymptote at x = -2. The graph should approach the asymptote but not cross it.
The resulting graph should be a logarithmic curve that approaches the vertical asymptote x = -2 and passes through the x-intercept (-1, 0).
Hope this helps!
Select the graph of the solution. Click until the correct graph appears. {x | x < 4} ∩ {x | x > -2}
Answer:
It converges
Step-by-step explanation:
dx/dy = x∧4 + 9x∧21
f(x) = ∫(x∧4 + 9x∧21)dy 0 > f(x) > ∞
= x∧5/5 + 9x∧22/22 + c
x = ∞ and x = 0
∴ c = 1 /5 + 9/22 = 27/22
Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
Answer:
A, C
Step-by-step explanation:
Find the length of segment IK
Answer:
30
Step-by-step explanation:
49-31=18
18+12=30
Consider the following IVP: u"(t) + u'(t) – 12u(t)=0 (1) u(0) 40 and u'(0) = 46. Show that u(t)=c1 e^3t+c2e^-4t satisifes ODE (1) and find the values of c, ER and c, ER such that the solution satisfies the given initial values. For these values of C, ER and C, ER what is the value of u (0.1)? Give your answer to four decimal places. = 1 2
The function u(t) = c1e^3t + c2e^-4t satisfies the given ordinary differential equation (ODE) u"(t) + u'(t) - 12u(t) = 0. By finding the values of c1, c2, ER, and ER that satisfy the initial conditions u(0) = 40 and u'(0) = 46, we can determine the specific solution. Finally, we can calculate the value of u(0.1) using the obtained values of c1 and c2.
To show that the function u(t) = c1e^3t + c2e^-4t satisfies the ODE u"(t) + u'(t) - 12u(t) = 0, we need to take the derivatives of u(t) and substitute them into the ODE equation. After performing the necessary calculations, it can be shown that the equation holds true.
To find the values of c1, c2, ER, and ER that satisfy the initial conditions u(0) = 40 and u'(0) = 46, we substitute t = 0 into the equation u(t) = c1e^3t + c2e^-4t and its derivative u'(t) = 3c1e^3t - 4c2e^-4t. By equating these expressions to the given initial values, we can solve for c1 and c2.
Once c1 and c2 are determined, we can calculate the value of u(0.1) by substituting t = 0.1 into the expression u(t) = c1e^3t + c2e^-4t. Evaluating this expression will give us the specific value of u(0.1), rounded to four decimal places.
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Assume the situations are proportional
For every left-handed person, there are about 4 right-handed people. If there are 30 students in a class, predict the number of students who are right-handed.
Answer:
24 students are right-handed.
Step-by-step explanation:
30 total
1 left + 4 right = 5
+1 left + 4 right = 5
2 left + 8 right = 10
+1 left + 4 right = 5
3 left + 12 right = 15
+1 left + 4 right = 5
4 left + 16 right = 20
+1 left + 4 right = 5
5 left +20 right = 25
+ 1 left + 4 right = 5
6 left +24 right = 30
agency cases an investigative agency has 7 cases and 5 agents. how many different ways can the cases be assigned if only 1 case is assigned to each agent?
There are 2520 different ways of the cases be assigned when only 1 case is assigned to each agent
To solve this problem the formula and the permutation procedure we must use is:
nPr = n! / (n-r)!
Where:
nPr = permutationn = total number of objectsr = number of selected objects! = factorial of the numberInformation about the problem:
n = 7 (cases )r = 5 (agents)7P5 =?Applying the permutation formula we have:
nPr = n! / (n-r)!
7P5 = 7! / (7-5)!
7P5= 7! / 2!
7P5 = 7*6*5*4*3*2! / 2!
7P5 = 7*6*5*4*3
7P5= 2520
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
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can someone help me with this, I’ll give ratings
Answer:
-0.6000
Step-by-step explanation:
sin² A + cos² A = 1
sin² A = 1 - Cos² A
= 1 - (4/5)²
= 1 - 0.64
= 0.36
sin A = sqrt 0.36 = 0.6
in quadrant IV sin is negative
sin A = -0.6000
\(a(a-9)=0\) yyyyyyyyyyyyyyy
Answer:
a = 0 , a = 9
Step-by-step explanation:
a(a - 9) = 0
equate each factor to zero and solve for a
a = 0
a - 9 = 0 ⇒ a = 9
Joshua rented a movie for $4.49 from Cinema Rentals. If the movie is not returned on the due date, Cinema Rentals charges an
additional $2.25 a day until the movie is returned. If Joshua returns the movie x days after its due date, which of the following
functions represents the total cost, R(x), he paid for the movie rental?
Answer:
R(x) = 2.25x + 4.49
Step-by-step explanation:
Equation form: R(x) = mx + b
m: represents the additional amount Joshua is charged for every day until he returns the movie, which in this case is $2.25. So, the value of m is 2.25.
b: represents the initial cost of renting the movie. Joshua rented the movie for $4.49, so b is 4.49.
Since we know the value of m and b, we can write the equation:
R(x) = 2.25x + 4.49
A simple random sample of 10 items resulted in a sample mean of 25. The population standard deviation is = 8. Round your answers to two decimal places. a. What is the standard error of the mean, o? 2.
Therefore, the standard error of the mean, σ= 2.53 (approx).
Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.
Given: A simple random sample of 10 items resulted in a sample mean of 25.
The population standard deviation is = 8.
We have to find out the standard error of the mean, σ/Sample Size n,
so we will first calculate σ as;
σ = Population standard deviation = 8
Sample Size n = 10
Substituting values in the formula to find the standard error of the mean, we get;σ/√n = 8/√10 = 2.53 (Round off the value to two decimal places)
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I need help please ;-;
Answer: The length of AC to one decimal place in the trapezium is 18.1 cm
Step-by-step explanation: Using Pythagoras theorem, we can find the length AC
Pythagoras theorem
c² = a² + b²
Therefore, draw a line from the point B to the line AD and call it line BX.
BX ║ CD
Therefore,
16² - 7² = BX²
256 - 49 = BX²
BX² = 207
BX = √207
BX = 14.3874945699
BX = 14.4 cm
Therefore,
11² + 14.4² = AC²
121 + 207.36 = AC²
AC = √328.36
AC = 18.120706388
AC = 18.1 cm
Hoped This Helped!
PLS HELP!!!
PLS FIND 13 and 15!!
Answer:
go near the bottom tight of the screen the you will see 13 sorry i cant help more then that
Step-by-step explanation:
Part A: Solve each system using elimination or substitution. Show all work. Your finalanswer should be written as an ordered pair.1. -2x + 3y = -13 and 3x – 3y = 122.-9x - y = 29 and 9x +y=-29Part B: Solve each system by graphing. Your final answer should be labeled clearly.Show all work1. 2 + 3y = –12 and 4x – 3y = -32. 2 – 2y = 6 and 5x + 4y= 16r:
Part A
1, - 2x + 3y = - 13
3x - 3y = 12
We would apply the method of elimination. Since the coefficients of y in both equations are the same, we would eliminate y by adding both equations. It becomes
- 2x + 3x + 3y + - 3y = - 13 + 12
- 2x + 3x + 3y - 3y = - 1
x + 0 = - 1
x = - 1
We would substitute x = - 1 into the first equation. It becomes
- 2(-1) + 3y = - 13
2 + 3y = - 13
3y = - 13 - 2
3y = - 15
y = - 15/3
y = - 5
The solutions are (- 1, - 5)
2. - 9x - y = 29
9x + y = - 29
We would apply the method of elimination. Since the coefficients of y in both equations are the same, we would eliminate y by adding both equations. It becomes
- 9x + 9x - y + y = 29 + - 29
- 9x + 9x - y + y = 29 - 29
0 - 0 = 0
0 = 0
Infinite number of solutions
Express 7.051 in the form of p/q
7.051 can be written as the fraction 7051/1000.
To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.
Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.
Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.
Therefore, 7.051 can be expressed as 7051/1000.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.
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Divide n by 5 then add 6
Answer:
n+30/5
Step-by-step explanation:
Simplify n/5
n/5+6
Rewrite the whole as an equivalent fraction
2.1 Add an integer to a fraction
Rewrite the whole as a fraction using 5 as the denominator: 6= 6/1=6×5/5
Equivalent fraction: the fraction thus generated looks different but has the same value as everything.
2.2 sum of the two equivalent fractions add two equivalent fractions that now have a common denominator
Combine the numerators, place the sum or difference over the common denominator, and then reduce to the lowest terms of possible:
n+6×5/5=n+30/5
What
is the distance (miles) to the radio horizon for an antenna that is
40 ft above the top of a 4000 ft mountain peak?
The distance to the radio horizon for an antenna that is 40 ft above the top of a 4000 ft mountain peak is approximately 78.18 miles.
The radio horizon refers to the point beyond which radio signals from a given transmitter can no longer be received due to the curvature of the Earth's surface. It can be calculated using the formula d = 1.23√h, where d is the distance to the radio horizon in miles and h is the height of the antenna above ground level in feet.
So, the height of the antenna above ground level is as follows:
4000 + 40 = 4040 ft.
Substituting into the formula, we get
d = 1.23√4040 ≈ 78.18 miles.
Therefore, the distance to the radio horizon for an antenna that is 40 ft above the top of a 4000 ft mountain peak is approximately 78.18 miles.
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Factor the following: x^2-7
Answer:
the answer is 0
hope it helps have a nice dayyy
Does anybody know the measure of JLM?
Measure of ∠JLM = m∠60°
Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
The required equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Given equations,
(A) 2 + x = 5
Simplifying the above expression,
x = 5 - 2
x = 3
Similarly, simplify all the equations,
(B) x = 3
(C) x = -3
(D) x = 11
(E) x = 3
Therefore, equations that give x = 3, after simplification is equivalent equations.
Thus, the requried equations that are equivalent to each other are,
(A) 2 + x = 5 (B) x + 1 = 4 (E) -5 + x = -2.
A Large earthworm can travel 25 centimeter in 12 seconds. How many meters does the earthworm travels in1 minute?
We know that it can travel 25 centimetres in 12 seconds. First, we break down the minute into seconds.
60/12= 5
______________________________
Now, multiply 25 by 5.
25x5=125
__________________________________
With this knowledge, we just have to convert the centimetres, to meters.
_______________________________
Your answer is 1.25 meters :)
Tom used twenty gallons of water to
water his plants for x days. After x
days, he used an additional forty
gallons of water for a day on his pants.
Write an expression that shows how
the total gallons of water Tom used on
his plants.
Answer:
y=20x + 40x
Step-by-step explanation:
Answer:
y=20x+40
Step-by-step explanation:
y represents how many gallons of water he used
x represents the amount of days
(example) if he watered his plants for 2 days:
y=20(2)+40
y=40+40
y=80
if he watered his plants for 2 days he would have used 80 gallons of water.
if this helped please rate, thanks, and mark brainliest :)
\(\huge\bold\red{{HELP}}\)
Answer: 16x\sqrt{2x}
Step-by-step explanation:
WELL HELLO BUDDY!
it is nice to see you again.
please,
whip out a piece of paper because we are going to be doing some QUICK MAFFS.
draw 512.
ok now draw two sticks coming out of 512
512
/ \
2 256
now lets keep going, do you see what im doing? i just divided 512 by 2
ok now lets go
512
/ \
2 256
/ \
16 16
im just looking for numbers that can DIVIDE 256 WITH NO DECIMALS!
ok so i keep going right? lets go.
the attached picture is the full diagram. scroll down to look at the picture.
WHAT I WANT YOU TO DO IS CIRCLE THE NUMBERS, IN PAIRS, that are at the END of the stem. so you can only circle the numbers that are at the end, the ones that dont branch off into further numbers. ok? in this way, we find that we have four pairs of 2's. and we have one 2 thats all by itself :( ok... interesting... so four pairs of 2's, lets find \(2^{4}\) (the exponent will be how many pairs you found). but we have one 2 thats all alone so lets put it in the radical... and the 16 we found as a result of
but DONT FORGET THE x's in this equation! \(x^{3}\) to be exact. we can actually put one x outside the radical since \(x^{2}\) under a radical just solves as x. the square root of \(x^{2}\) is just x, so x is outside of the radical.
but remember that we were given x^{3} to start off with! so we are gonna have one x all by his or her lonesome.
our answer will then be.... \(16x\sqrt{2x}\)
put the rest of your questions in their own posts on brainly because the other ones are too much work for just one question
Identify the constant(s) and coefficient(s) in the following expression: 3x2+9+X-X4
Answer:
Constants are 3, 2, and 9 because they are alone without a variable. 4 Would be a coefficient because it has a variable.
Step-by-step explanation:
The area (A) under a curve is equal to the sum of the areas of n rectangles, taking the limit as n approaches infinity. Which is the correct mathematical representation of the area?What's the answer? A,BC, or D?
The area of each k-th rectangle is
\(\begin{gathered} f(x_k)\cdot\Delta x_{} \\ \\ \text{where }f(x_k)\text{ is the height of rectangle k, and }\Delta x\text{ is the side of each rectangle} \end{gathered}\)Thus, after summing the areas of the n rectangles, we obtain:
\(\sum ^n_{k=1}(f(x_k)\cdot\Delta x_{})\)Then, to find the area under the curve we need to take the limit as n approaches infinity. So, we obtain:
\(\lim _{n\to\infty}\sum ^n_{k=1}(f(x_k)\cdot\Delta x_{})\)Therefore, option A is correct.
Answer:
The answer is A in the picture above
Step-by-step explanation:
I took the test with 100 percent, im confident in my answer.
have a great day
Which is faster?
The number of bacteria colonies doubling every 80 minutes
Or
The number of bacteria colonies quadrupling after 4 hours (once?)
Answer:
A. the number of bacteria colonies doubling every 80 minutes.
Step-by-step explanation:
A. 2 cells = 80 mins
B. 4 cells = 80 mins
how to check;
multiply both sides by 2 in equation A
2 × 2 = 80 × 2
4 cells = 160 mins
change the mins into hours
4 cells = 160 ÷ 60
4 cells.= 2 hrs 40 mins
coagulate results
equation A. is 4 cells = 2hrs 40 mins
equation B. is 4 cells = 4 hrs
therefore equation A. is faster
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Aaron is on his school's wrestling team. He and his teammates want to paint the school's mascot on the wrestling mats. The T-
shirts sold at Aaron's school show the mascot, a Bulldog, with a nose that is 1.2 cm long and a front paw that measures 4.5 cm
across. If Aaron and his teammates plan to paint an enlarged image of the Bulldog with a nose that is 6 cm long, how long
should they make the front paw?
Answer:
22.5 cm
I hope this answer helps!
These box plots show the basketball scores for two teams.
Wolverines
35
55
80 85
96
Panthers
33
50
70
90
107
Compare the shapes of the box plots.
O A . Both distributions are negatively skewed.
O B. The Wolverines' distribution is negatively skewed, but the
Panthers' distribution is symmetric.
O C. Both distributions are symmetric.
OD. The Wolverines' distribution is positively skewed, but the Panthers'
distribution is symmetric.
The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.
When is data symmetric for a given box plot?Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers.
The box plot showing scores for the Panthers basketball team has the median shown by a vertical line dividing the box into 2 equal halves.
Also, both whiskers on either side are relatively equal which shows that the data set for bulldogs is symmetric.
On the other side, the box plot for wolverine shows the median closer to the upper quartile.
That shows that the data set for team Wolverines' distribution is negatively skewed.
The correct option is B. The Wolverines' distribution is negatively skewed, but the Panthers' distribution is symmetric.
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Determine whether the series is convergent or divergent by expressing sn as a telescoping sum.
[infinity] (e8/n − e8/(n+1)
n = 1
Convergent or divergent?
If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.)
convergentdivergent
The given series is convergent and it's sum is e⁸.
To show that the series is convergent, we can express the partial sum s_n as a telescoping sum.
s_n = e⁸/1 - e⁸/2 + e⁸/2 - e⁸/3 + e⁸/3 - … - e⁸/(n+1) + e⁸/(n+1)
= e⁸ - e⁸/(n+1)
As n approaches infinity, e⁸/(n+1) approaches 0, so the limit of s_n is e⁸. Therefore, the given series is convergent with sum e⁸.
Therefore, the given series is convergent with sum e⁸.
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Lugi is trying to hit a turtle shell. The height of
Lugi's feet above the ground is given by the
functionh(t) = -16t² +961 + 2.
How long does it take for Lugi to hit the shell on the ground?
A. 3 seconds
B. 146 seconds
0.6.02 seconds
D. 16 seconds
Answer:
C. 6.02sec
Step-by-step explanation:
Given
\(h(t) = -16t\² +96t + 2\)
Required
Time to hit the ground
When the turtle shell hits the ground, \(h(t) = 0\)
So:
\(0 = -16t\² +96t + 2.\)
Solving using quadratic formula:
\(t = \frac{-b\±\sqrt{b^2-fac}}{2a}\)
Where:
\(a = -16; b =96; c = 2\)
So:
\(t = \frac{-96\±\sqrt{96^2-4 * -16 * 2}}{2*-16}\)
\(t = \frac{-96\±\sqrt{9344}}{-32}\)
\(t = \frac{-96\±96.66}{-32}\)
Split:
\(t = \frac{-96+96.66}{-32}\) or \(t = \frac{-96-96.66}{-32}\)
\(t = \frac{0.66}{-32}\) or \(t = \frac{-192.66}{-32}\)
\(t = -0.020625\) or \(t = 6.020625\)
So time can't be negative, we have:
\(t = 6.020625\)
Option C answers the question
A blood test is able yo detect the presence of the drug if there is at least 0.1 mg in your blood. How many days will it take before the test will come back negative? Explain your answer.