Suppose f(x) is a function with a continuous third derivative f''' (x). Suppose further that f'(1) = f"(1) = 0, but f'''(1) > 0. At x = 1, does f(x) have an inflection point? Or is there not enough information to tell? Justify your answer using your knowledge of the derivatives of f(x)

Step-by-step explanation:

perimeter=(L+W)2

L=x^2+2x-3

W=2x^2+3x+5

(x^2+2x-3+2x^2+3x+5)2

(x^2+2x^2+2x+3x-3+5)2

(3x^2+5x+2)2

p=(6x^2+10x+4)units

The fewest number of coins that Kevin can use to make exactly 90 cents is six coins: three 25-cent coins and three 5-cent coins.

To determine the fewest number of coins that Kevin can use to make exactly 90 cents, we need to consider the values of the coins and how they can add up to 90 cents. We want to use the fewest number of coins possible, so we should start with the highest-value coins first. In this case, the highest-value coin is the 25-cent coin.

Since Kevin needs exactly 90 cents, he could use three 25-cent coins, which would give him 75 cents. He would then need 15 more cents to make 90 cents. The only coins that he has left are 5-cent coins and 10-cent coins. If he were to use two 10-cent coins, he would have to use three 5-cent coins to make up the remaining 5 cents, for a total of five coins. However, if he uses three 5-cent coins instead of two 10-cent coins, he will have used six coins in total, which is the fewest number of coins possible. Therefore, the fewest number of coins that Kevin can use to make exactly 90 cents is six coins: three 25-cent coins and three 5-cent coins.

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Answer:

-2m

Step-by-step explanation:

-6m + 4m

Combine like terms by performing the operation between the coefficients. In this case, one must add the different coefficients, yet since one of the coefficients is negative, then adding the two coefficients is the same as subtracting the two terms.

-6m + 4m

= -2m

Therefore, the area of triangle XYZ is 2 square units.

Area is a measure of the size of a two-dimensional shape or surface. It is defined as the amount of space inside the boundary of a flat or planar figure, such as a triangle, square, rectangle, or circle. The unit of area is typically square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²).

Here,

To determine the area of triangle XYZ with coordinates (6,1), (2,5), and (10,9), we can use the formula for the area of a triangle:

Area = (1/2) * base * height

where the base is any side of the triangle and the height is the perpendicular distance from the base to the opposite vertex.

Distance between (6,1) and (2,5):

= √((6 - 2)² + (1 - 5)²)

= √(20)

So, the base of the triangle is √(20).

We can use the formula for the distance between a point and a line to do this:

Distance from (10,9) to line passing through (6,1) and (2,5):

= |(10 - 6)(5 - 1) - (2 - 6)(9 - 1)| / √((5 - 1)² + (6 - 2)²)

= 4 / √(20)

So, the height of the triangle is 4 / √(20).

Now, we can plug in the values for the base and height into the formula for the area of a triangle:

Area = (1/2) * base * height

= (1/2) * √(20) * (4 / √(20))

= 2

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The applicable rules of exponents are ...

  \(\displaystyle\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\(x^a)^b=x^{ab}\\\\(xy)^a=x^ay^a\)

Answer: 4

Step-by-step explanation:

Answer:

800 bacteria

Step-by-step explanation:

yw<3

Answer: (3,1) in point form x=3,y=1

Step-by-step explanation:

Answer:

The formula for relative change is x = 100 * (final - initial) / initial  Using this concept, we can plug in our values. x = (3.95 - 3.45) / 3.45 = 0.5. 0.5 * 100 = 14.49%. Rounded to the nearest tenth would give us the value 14.5%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a binomial probability distribution because there re only 2 possible outcomes. It is either a surveyed company outsourced some part of their manufacturing process in the past two to three years. The probability of success, p would be that a randomly selected company x, outsourced some part of their manufacturing process in the past two to three years. From the information given, p = 54/100 = 0.54

Number of success, x = 338

Number of samples, n = 555

We want to determine the probability that 338 or more companies outsourced some part of their manufacturing process in the past two or three years which is expressed as

P(x ≥ 338)

From the binomial probability calculator,

P(x ≥ 338) = 0.0006

The percentage is 0.0006 × 100 = 0.06%

Answer:  - \(\frac{451}{25}\)

Step-by-step explanation:

Answer:

top one =75

bottom one=65

Step-by-step explanation:

all angles should equal to 180

so 180-40=140

the sum of th eother two angles will be 140

so 4x-5+3x+5=140

now solve for x

x=20

subsitute for x

4(20)-5=75

3(20)+5=65

please mark brainliest if correct

Answer: $5.19

Step-by-step explanation:

If there are 40 working hours in a week and 52 weeks in a year, 40 * 52 should be the amount of working hours in a year.

40 * 52 = 2080 working hours

Nate needs $900 to live each month and there are 12 months in a year, so $900 * 12 would equal how much he spends per year.

$900 * 12 = $10800

Divide $10800 by 2080 working hours to get how much he needs to make per working hour.

10800/2080 = approximately 5.19, rounded down from the nearest hundredth

He needs to make $5.19 per hour, so the answer is the last option.

Answer: y = -3x -3

Step-by-step explanation:

y = mx + b

3x + y = -3

y = -3x -3

Answer:

slope intercept form: y=mx+c

*m = gradient

*c = y-intercept

3x + y = -3

y = -3x - 3

The pulse shape p(t) in the time domain can be found using the inverse Fourier transform of its Fourier transform P(f). The pulse shape is given by p(t) = A sinc(2πRb t)/(1 - 4Rb^2t^2).

To find the pulse shape p(t) in the time domain, given its Fourier transform P(f), we can use the inverse Fourier transform. Specifically, we can use the formula: p(t) = (1/2π) ∫ P(f) e^(j2πft) df, where the integral is taken over all frequencies f.

In this problem, the Fourier transform of the pulse shape p(t) is given by:

P(f) = A rect(f/Rb) = A rect(f/2Rb) * e^(-jπf/Rb)

where rect(x) is the rectangular function defined as 1 for |x| ≤ 1/2 and 0 otherwise.

To evaluate the integral, we can split the rectangular function into two parts, one for positive frequencies and one for negative frequencies:

P(f) = A rect(f/2Rb) * e^(-jπf/Rb) = A/2Rb [rect(f/2Rb) - rect(f/2Rb - 1/(2Rb))] * e^(-jπf/Rb)

We can then substitute this expression into the inverse Fourier transform formula to obtain:

p(t) = (1/2π) ∫ A/2Rb [rect(f/2Rb) - rect(f/2Rb - 1/(2Rb))] * e^(-jπf/Rb) e^(j2πft) df

Now, we can evaluate the integral using the properties of the rectangular function and the complex exponential:

p(t) = A/2Rb [(1/Rb) sinc(2Rbt) - (1/Rb) sinc(2Rb(t-1/(2Rb)))]

where sinc(x) is the sinc function defined as sinc(x) = sin(πx)/(πx).

Simplifying this expression, we get:

p(t) = A sinc(2πRb t)/(1 - 4Rb^2t^2)

Therefore, we have shown that the shape of the pulse in the time domain is given by:

p(t) = A sinc(2πRb t)/(1 - 4Rb^2t^2)

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The maximum size of the equal withdrawal that Dalton can make each month over the next 30 years to achieve a zero balance after 20 years is approximately $27,968.58.

To calculate the maximum withdrawal amount, we need to consider the present value of the cash flow and the future value of the monthly withdrawals. Since the goal is to have a zero balance after 20 years, the present value of the cash flow should be equal to the future value of the monthly withdrawals.

Using the formula for future value of an ordinary annuity, we can calculate the monthly withdrawal amount. Given a cash flow of $4.0 million, an APR of 7.5% compounded monthly, and a time period of 20 years, we can determine the future value of the withdrawals.

By solving for the monthly withdrawal amount, we find that Dalton can make a maximum withdrawal of approximately $27,968.58 each month over the next 30 years to achieve a zero balance after 20 years. This ensures that the present value of the initial cash flow is equal to the future value of the withdrawals.

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the first question answer is 15/17

hi

You are making  f ° h  

f(x) = 9x-5

h(x) = 2x²  

You must first calculate   h(-5)   :     so remplace  x  by -5 in h :

h(-5) = 2 (-5)² =  2* 25 = 50

then apply  f(x) to result  :   f(50) = 9 *50 -5 = 450 -5 = 445  

Answer:

maybe the answer ris 36×4 and then 30×4 and subtract the result?!?!

\(\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\\)

\(\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}\)

Answer:

x = 2

Step-by-step explanation:

-5(x + 2) = -20

-5x - 10 = -20

-5x = -20 + 10

-5x = -10

x = -10/-5

x = 2

Answer:

Step-by-step explanation:

-5(x+2)=-20

-5x -10=-20

-5x=-10

x=2

The distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by the vectors (1, -1, 1, 0) and (3, 2, 2, 1) can be calculated as the length of the orthogonal projection of (1, 2, 3, 4) onto the subspace.

To find the distance, we first need to determine the orthogonal projection of the vector (1, 2, 3, 4) onto the subspace spanned by (1, -1, 1, 0) and (3, 2, 2, 1).

The orthogonal projection of (1, 2, 3, 4) onto the subspace can be obtained by projecting (1, 2, 3, 4) onto each of the spanning vectors and then summing those projections. Using the projection formula, we find that the projection of (1, 2, 3, 4) onto the first spanning vector (1, -1, 1, 0) is (5/3, -5/3, 5/3, 0), and the projection onto the second spanning vector (3, 2, 2, 1) is (3/2, 1, 1, 1/2).

Next, we calculate the difference vector between (1, 2, 3, 4) and the sum of the two projections: (1, 2, 3, 4) - [(5/3, -5/3, 5/3, 0) + (3/2, 1, 1, 1/2)] = (2/6, 13/6, 7/6, 7/2).

Finally, we find the length of the difference vector, which represents the distance between (1, 2, 3, 4) and the subspace: √[(2/6)^2 + (13/6)^2 + (7/6)^2 + (7/2)^2] = √(242/9).

Therefore, the distance from the vector (1, 2, 3, 4) to the subspace of R^4 spanned by (1, -1, 1, 0) and (3, 2, 2, 1) is √(242/9).

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The coordinates of Omega house is (3/2, 1)

Data;

To find the coordinates of Omega house, we can use the formula of midpoint of a line since Omega house falls between Forsyth Tech and Stadium

\(x,y = (\frac{x_1+ x_2}{2} , \frac{y_1+y_2}{2})\)

We can substitute the values and solve for both x and y coordinates.

\(x = \frac{x_1+x_2}{2} \\x = \frac{7 + (-4)}{2} = \frac{3}{2}\)

The value of the y-coordinate is

\(y = \frac{-5+ 3}{2} = 1\)

The coordinates of Omega house is (3/2, 1)

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Answer: the initial value of the painting is 250

Step-by-step explanation:

Answer: d

Step-by-step explanation:

Answer: The one on the bottom right.

Step-by-step explanation:

Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.

A symmetrical shape can also be folded onto itself equally.

Looking at the photo, the picture on the bottom right is the left part of the figure.

Answer:

3hours and 30 minutes moving and 2 and a half hours stationary

Step-by-step explanation:

1 hour + 30 minutes + 1 hour + 30 minutes + 30 minutes for moving

1 hour + 1 hour + 30 minutes for stationary.

Answer: 7

Step-by-step explanation:

If the average is 11

the number has to add up to 33 which is divisible by 3 and give you the average 11

14+12= 26

14+12=26/2=13

13- 6= 7

14+ 12 + 7= 33/3= 11

The structure appears to have served as a storage facility or warehouse, based on its design and layout.

The structure, measuring 39 feet in length and 8 feet in depth, along with the presence of a nearby well and a drain along one side, suggests that it served as a storage facility or warehouse. The dimensions of the structure indicate that it was spacious enough to store a significant quantity of goods.

The well nearby would have provided a convenient water source for various purposes, such as cleaning or processing items stored in the structure.

The drain along one side could have been used to dispose of any excess water or waste generated during the storage activities. Overall, the combination of size, proximity to a water source, and the presence of a drain indicates that the structure was likely utilized for storage purposes.

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The amount of americium-241 consumed in a smoke detector, initially containing 4.50 µg, after one year can be calculated to be approximately 0.0104 µg.

The decay of americium-241 over time can be modeled using the radioactive decay formula:

A(t) = A₀ * (1/2)^(t / T₁/₂)

where:

A(t) is the amount of americium-241 remaining after time t,

A₀ is the initial amount of americium-241,

t is the time elapsed,

T₁/₂ is the half-life of americium-241.

In this case, the initial amount of americium-241 is 4.50 µg, and the half-life is 433 years. We want to calculate the amount remaining after one year.

Substituting the given values into the decay formula:

A(1 year) = 4.50 µg * (1/2)^(1 / 433)

Calculating this expression:

A(1 year) ≈ 4.50 µg * 0.998005

A(1 year) ≈ 4.492 µg

Therefore, the amount of americium-241 consumed in the smoke detector after one year is approximately 4.50 µg - 4.492 µg ≈ 0.0104 µg.

After one year, approximately 0.0104 µg of americium-241 would be consumed in a smoke detector initially containing 4.50 µg of americium-241, considering its half-life of 433 years.

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Answer:29 ft by 58 ft

Step-by-step explanation:

Answer:

Brainliest Answer?

( 7 / 8 ) seconds

( 77 / 4 ) feet

Step-by-step explanation:

The question is a bit confusing but I will do it both ways. I will assume that you made a mistake copying over the function because the graph s( t ) is linear. Linear functions have a maximum value of infinity because it is an odd-degree polynomial.

Assume that s( t ) = - 16t² + 28t + 7;

The equation forms an upside-down parabola which means it has a maximum value.

Complete the square to get the axis of symmetry and the maximum value of the parabola or use my very cool formula. The variables h and k represent the axis and max respectively.

ax² + bx + c = a( x - h )² + k;

ax² + bx + c = a( x - ( - b / 2a ) )² + c - ( b² / 4a );

ax² + bx + c;

Take a as a factor.

a( x² + ( b / a )x + ( c / a ) );

Add and subtract the square of ( 1 / 2 ) of ( b / a ). This is called completing the square because it forms a perfect square trinomial.

a( x² + ( b / a )x + ( b / 2a )²  - ( b / 2a )² + ( c / a ) );

Factorise the trinomial.

a( ( x + ( b / 2a ) )² - ( b / 2a )² + ( c / a ) );

Use the distributive property of multiplication.

a( x + ( b / 2a )² + a( ( c / a ) - ( b / 2a )² );

a( x + ( b / 2a )² +  a( ( c / a ) - ( b² / 4a² ) );

Simplify the fractions.

a( x + ( b / 2a )² + c - ( b² / 4a );

Substitute the values.

- 16( t - ( - 28 / 2( - 16 ) )² + 7 - ( ( 28 )² / 4( - 16 ) );

Time is the x-axis so we need to solve for the axis of symmetry.

h = ( - 28 / 2( - 16 ) );

h = ( - 28 / - 32 );

Simplify the fraction.

h = ( 7 / 8 );

Maximum height is the parabola's y of the vertex.

k = 7 - ( ( 28 )² / 4( - 16 ) );

k = 7 - ( ( 28 )( 28 ) / - 64 );

k = 7 - ( 784 / - 64 );

k = 7 - ( - 49 / 4 );

k = ( 28 / 4 ) + ( 49 / 4 );

k =  77 / 4;