Which is not true about the graph of f(x) = |3x+2|
Answer: A
Step-by-step explanation:
Real numbers include negative numbers, and |3x+2| is always nonnegative.
Find the measure of the missing angle.
Answer:
It would be 20°
Step-by-step explanation:
A right angle, which is the angle in the picture, is 90°. So you would subtract 70 from 90, and get 20°
Answer: 20°
Hope this helps!
Answer:
a = 20
Step-by-step explanation:
This angle is a right angle.
A right angle is equal to 90 degrees.
90 - 70 = 20
Which of the lines is the graph of x=1−y?
Answer:
y = -x + 1
(Image of what graph looks like is attached)
Step-by-step explanation:
x = 1 - y can be rewritten into y = mx + b format.
x = 1 - y (subtract 1 from both sides)
x - 1 = -y (multiply by -1 to both sides)
y = -x + 1
Brainliest, please :)
GUYS HELP FAST ILL MAKE IT WORTH YOUR TIME
Answer:
1 and 4 parallel lines are straight
Step-by-step explanation:
help me noww i neex helppppp
The freezing point of water, T (measured in degrees Fahrenheit), at altitude a (measured in feet) is modeled by the function Tla) = .0001a + 32. In terms
of altitude and temperature, which statement describes the meaning of the slope?
A.)The freezing point decreases by 1 degree as the altitude increases by 10,000 feet.
B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet.
C.) The freezing point decreases by 10 degrees as the altitude increases by 10,000 feet.
D.) The freezing point increases by 10 degrees as the altitude increases by 10,000 feet.
Answer:
The correct option is;
B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet
Step-by-step explanation:
Given that the function that gives the freezing point temperature is T(a) = 0.0001·a + 32, we have;
Given that the coefficient of the straight line equation is positive, the freezing point varies positively (proportionately) with the increase in the altitude, that is as the altitude increases, the freezing point increases.
At 10,000 feet, a = 10,000, T(a) = T(10,000) = 0.0001×10,000 + 32 = 1 + 32 = 33
Therefore, the freezing point temperature increases by 1 degree for each rise (increase) in altitude of 10,000 feet.
• Lawson already has $60 in his wallet but needs a total of at least $500 for his holiday. He gets
paid $30 per day for delivering newspapers. What is the least number of days he must work to
get enough money for his holiday?
Answer:
15
Step-by-step explanation:
500-60=440
440/30=14.66666667
simplify 14.66666667= 15
PLEASE HELP!! I NEED HELP WITH THIS QUESTION URGENTLY AND I WILL MARK BRAINLIEST!!!
Answer:
x = 6, y = 10--------------------------
Given is the special 30°×60°×90° right triangle.
It has a property that, the length of the hypotenuse is twice the length of the side opposite to 30° angle.
Using this property, set up equation and solve for y:
4y + 6 = 2(3y - 7)4y + 6 = 6y - 146y - 4y = 6 + 142y = 20y = 10The angle (xy)° is complementary with 30° angle, therefore it is:
xy = 60Substitute 10 for y into equation to find the value of x:
10x = 60x = 6So the missing values are:
x = 6, y = 10solve the equation 5-4x=6+2x
Answer:
Step-by-step explanation:
6 + 2x = 5 - 4x
6 + 6x = 5
6x = -1
x = -1/6
Find an example of each of the following or explain why no such function exists An infinitely differentiable function g(x) on all of R with a Taylor series that converges to g(x) only for x in (-1, 1) site:math.stackexchange.com
An example of a function that satisfies the given conditions is the function \(g(x) = e^(-1/x^2) for x ≠ 0\) and g(0) = 0. This function is infinitely differentiable on all of R and its Taylor series converges to \(g(x) only for x in (-1, 1).\)
To see why, let's examine the Taylor series expansion of g(x) centered at x = 0. By using the definition of the Taylor series coefficients, we can calculate the nth derivative of g(x) at x = 0. It can be shown that all the derivatives of g(x) at x = 0 are zero for n ≥ 1. Therefore, the Taylor series expansion of g(x) centered at x = 0 is simply the constant term g(0) = 0.
Now, let's consider the interval (-1, 1). Within this interval, the function e^(-1/x^2) is positive and has infinitely many derivatives. This allows the Taylor series expansion to converge to the function \(g(x) = e^(-1/x^2)\) within (-1, 1). However, outside of this interval, the function \(g(x) = e^(-1/x^2)\)oscillates infinitely fast as x approaches 0, making it impossible for the Taylor series to converge.
In conclusion, the function\(g(x) = e^(-1/x^2)\) is an example of an infinitely differentiable function on all of R with a Taylor series that converges to g(x) only for x in (-1, 1).
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x = 3y + 4
x = 5y - 8
pls hurry
Answer:
{x,y} = {-2, -2}
Step-by-step explanation:
auggie and his friend johnny are hosting a block party. there are 4 adults and 9 friends coming to this block party besides auggie and johhny. to get into the party its a 10$ fee how much money are auggie and his friend johnny gonna have by the end of the party.
The amount of money are auggie and his friend johnny gonna have by the end of the party is $110
How much money are auggie and his friend johnny gonna have by the end of the party?Cost of getting into the party = $10
Number of adults at the party = 4
Number of friends at the party= 9
Total number of people at the party = Number of adults at the party + Number of friends at the party
= 4 + 9
= 11
Total money are auggie and his friend johnny gonna have by the end of the party = Total number of people at the party × Cost of getting into the party
= 11 × $10
= $110
Hence, auggie and his friend johnny will have $110 at the end of the party.
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which one of the following is NOT a step we use when formulating the null and alternative hypotheses?
calculate the value of the sample statistic
d) Use the rejection rule to solve for the value of the sample mean corresponding to the critical value of the test statistic is NOT a step in hypothesis testing(d).
The steps in hypothesis testing are as follows:
Formulate the null and alternative hypothesesSpecify the level of significanceIdentify the test statistic and its distributionDetermine the critical value of the test statistic using the level of significance and the critical value approachCalculate the value of the test statisticCompare the test statistic to the critical valueDecide whether to reject or fail to reject the null hypothesisDraw conclusions and interpret the results.For more questions like Sample mean click the link below:
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Option d is not one of the steps in hypothesis testing.
Which of the following is NOT a step in hypothesis testing? Select one: a. Find the confidence interval. b. Use the level of significance and the critical value approach to determine the critical value of the test statistic c. Formulate the null and alternative hypotheses d. Use the rejection rule to solve for the value of the sample mean corresponding to the critical value of the test statistic.
Which equation can be used to find the surface area of the sphere? A sphere with a diameter of 16 inches.
Answer:
a
Step-by-step explanation:
i did it
It takes an older computer twice as long to send out a company's email as it does a newer computer. working together, it takes the two computers 5 minutes to send out the email. how long will it take the newer computer to send out the email on its own?
Answer:
7.5 minutes
Step-by-step explanation:
You want the time it takes a newer computer to do a job that gets done in 5 minutes when the new computer works with one that takes twice as long.
SetupLet n represent the number of minutes it takes the new computer to do the job. Then it completes 1/n of the job in each minute. If it takes the older computer 2n minutes to do the job, then that computer completes 1/(2n) of the job in each minute.
Together the two computers complete 1/5 of the job in each minute:
1/n + 1/(2n) = 1/5
SolutionMultiplying by 5n gives ...
5 + 5/2 = n
15/2 = 7.5 = n
The newer computer can complete the job on its own in 7.5 minutes.
__
Additional comment
Rates in the form job/time will add when the work is done in parallel (simultaneously). If the work is done in series (sequentially), then the times in the form time/job will add.
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Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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will mark brainleist
first, draw all the coordinates on a x and y-axis graph (the final look will be a trapezoid like the one drawn in the attached file). to find the area of a trapezoid, AB = 5, DC = 1 and h = 5, hence;
\(area = \frac{ab + dc}{2}.h \\ area = \frac{5 + 1}{2} \times 5 \\ area = \frac{6}{2} \times 5 \\ area = 3 \times 5 = 15\)
hence the area for this trapezoid by the given coordinates is 15 units.
Can someone help me with this question plsssssssss
Answer:think its A
Step-by-step explanation:
The circle centered at (2, -1) and with radius 4 intersects the circle centered at (2, 5) and with radius sqrt10 at two points A and B. Find (AB)^2
The value of (AB)² is 15.
A circle is a two-dimensional figure formed by a set of points that are at a constant or at a fixed distance (radius) from a fixed point (center) on the plane. The fixed point is called the origin or center of the circle and the fixed distance of the points from the origin is called the radius. Two circles can be called congruent if they have the same radius. Equal chords are always equidistant from the center of the circle. The perpendicular bisector of a chord passes through the center of the circle. When two circles intersect, the line connecting the intersecting points will be perpendicular to the line connecting their center points. Tangents drawn at the endpoints of the diameter are parallel to each other.
Equation of first circle:
(x - 2)² + (y + 1)² = 4²
Equation of secnd circle:
(x - 2)² + (y - 5)² = (√10)²
Solve for (x - 2)² :
(x - 2)² + (y + 1)² = 4² ==> (x - 2)² = 16 - (y + 1)²
(x - 2)² + (y - 5)² = (√10)² ==> (x - 2)² = 10 - (y - 5)²
Then,
16 - (y + 1)² = 10 - (y - 5)²
16 - (y ² + 2y + 1) = 10 - (y ² - 10y + 25)
15 - 2y - y ² = -15 + 10y - y ²
30 - 12y = 0
12y = 30
y = 30/12 = 5/2
Thus, the y coordinate of A and B is 5/2.
Then solve for x :
(x - 2)² = 16 - (5/2 + 1)²
(x - 2)² = 15/4
x - 2 = ± √(15/4) = ±√15/2
x = 2 ± √15/2
Thus, the x coordinates for either A or B are 2 +√15/2 or 2- √15/2.
The intersections points are A = (2 - √15/2, 5/2) and B = (2 + √15/2, 5/2). Thus, the squared distance between them:
(AB)² = [(2 - √15/2) - (2 + √15/2)]² + (5/2 - 5/2)²
(AB)² = (-√15)² + 0²
(AB)² = 15
Thus, the value of (AB)² is 15.
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A triangular sign is being made.
• The area is to be no greater than 300 square feet.
• The height of the triangle is to be 3 times x, the length of the base.
Which inequality can be used to determine the possible lengths of the base, where x is a nonnegative real number?
O A. 3x2 > 300
OB. 3x2 < 300
O c. x2 300
D. x2 < 300
Answer: The answer is C
Step-by-step explanation:
Which of the following graphs represents the equation y-2 = 3(x - 1)?
Answer:
Graph B
Step-by-step explanation:
The vertical intercept I am getting is (0,-1) and B is the only one with that point. Therefore, it should be B.
The polynomial
f(x) = −x^5+3x^4−2x^3−2x^2+3x−1
has a stationary point at x=1. This is because
f^(1)(1)= ________
Calculate the higher derivatives:
f^(2)(1)= _____
f^(3)(1)= ______
f^(4)(1)= ______
So the smallest positive integer n > 1 for which f^(n)(1)≠0 is
n = _____
Hence the function has a______ at x=1.
The polynomial f(x) = −x^5+3x^4−2x^3−2x^2+3x−1 has a minimum point at x=1. The first derivative of the polynomial is f'(x) = −5x^4 + 12x^3 - 6x^2 - 4x + 3. Setting f'(x) = 0 and solving for x, we get x = 1. This means that x = 1 is a critical point of the function.
The higher derivatives of the polynomial are f''(x) = -20x^3 + 36x^2 - 12x - 4, f'''(x) = -60x^2 + 72x - 12, and f''''(x) = -120x + 72. Note that f''''(x) ≠ 0 for any value of x. This means that the smallest positive integer n > 1 for which f^(n)(1)≠0 is n = 4.
Therefore, the function has a minimum point at x=1.
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For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of peanuts and 0.625 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer:
About 1.09 kilograms of cashews.
Step-by-step explanation:
You would add the peanuts and almonds together and subtract by the total.
y = x + 1 y = − 4x − 4
Answer:
2y=3x=-4
Step-by-step explanation:
grouping like terms
y+ly =4x-x=-4
2y=3x=-4
Evaluate 5 (2)² – 6.
5(2)² - 6 =
Help solve number 16 of a proof please
1. Given
2. Alternate interior angles theorem
3. Given
4. Vertical angles
5. ASA
find a solution of the initial-value problem. y' = -(1/4) y^2 text(, ) y(0) = 1
The initial-value problem is given by the differential equation y' = -(1/4) y^2 with the initial condition y(0) = 1. One possible solution to this problem is y(x) = 4/(4 + x).
To solve the initial-value problem, we can separate variables and integrate. Rearranging the equation, we have y^2 dy = -4 dx. Integrating both sides, we get (1/3) y^3 = -4x + C,
where C is the constant of integration. Plugging in the initial condition y(0) = 1, we can solve for C. Substituting x = 0 and y = 1, we have (1/3) (1)^3 = -4(0) + C, which gives us C = 1/3.
Substituting the value of C back into the equation, we have (1/3) y^3 = -4x + 1/3. Solving for y, we obtain y = (4/(4 + x))^(1/3), which is the solution to the initial-value problem.
The solution y(x) = 4/(4 + x) represents the family of curves that satisfy the given differential equation and the initial condition. It describes the behavior of the dependent variable y as a function of the independent variable x.
The expression (4/(4 + x))^(1/3) indicates that as x approaches infinity, y approaches 4^(1/3) = 1.5874. Similarly, as x approaches negative infinity, y approaches 0.
This solution demonstrates the decay behavior of y over time, with the initial condition y(0) = 1 determining the specific curve within the family of solutions.
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(80pts) HELP 1 easy question please I’m desperate #6 please
Answer:
\((f-g)(x)=\frac{2x-\sqrt{x}+14 }{3x}\)
Step-by-step explanation:
1. You see that you want to subtract g from f
2. Since the two equations have a common denominator, you can easily subtract
3. 2x+6 - (\(\sqrt{x}\) - 8)
4. 2x - \(\sqrt{x}\) + 14 all over 3x
Answer:
Step-by-step explanation:
1. You see that you want to subtract g from f
2. Since the two equations have a common denominator, you can easily subtract
3. 2x+6 - ( - 8)
4. 2x - + 14 all over 3x
Step-by-step explanation: have a great day
The low temperature was 35 degrees Fahrenheit, This was 13 degrees lower than the daytime high temperature. Choose the equation(s) that can be used to determine the high temperature, t.
A) 35 = t - 13
B) 35 + t = 13
C) 35 + 13 = t
D) t = 35 - 13
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
A and c
Step-by-step explanation:
1) Length arc = r*theta
5.11=1*theta. Theta is 5.11 rads
2) Law of cosines is the correct answer