(1 point) Find f if f''(x) = 2+cos(x), f(0)=-1, f(pi/2)=2.(1 point) Find f if f"(x) = 2 + cos(2), f(0) = -1, f(7/2) = 2. = f(3) = =

The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

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To calculate the principal repaid by the 17th monthly payment of $750 on a $22,000 loan at 15% compounded monthly, we need to calculate the monthly interest rate, the remaining balance after 16 payments, and the interest portion of the 17th payment.

The monthly interest rate is calculated by dividing the annual interest rate by the number of compounding periods per year. In this case, it would be 15% / 12 = 1.25%.

The remaining balance after 16 payments can be calculated using the loan balance formula:

\($$B = P(1 + r)^n - (PMT/r)[(1 + r)^n - 1]$$\)

Where B is the remaining balance, P is the initial principal, r is the monthly interest rate, n is the number of payments made, and PMT is the monthly payment amount.

Substituting the values into the formula, we get:

\($$B = 22000(1 + 0.0125)^{16} - (750/0.0125)[(1 + 0.0125)^{16} - 1]$$\)

After calculating this expression, we find that the remaining balance after 16 payments is approximately $17,135.73.

The interest portion of the 17th payment can be calculated by multiplying the remaining balance by the monthly interest rate: $17,135.73 * 0.0125 = $214.20.

Therefore, the principal repaid by the 17th payment is $750 - $214.20 = $535.80.

The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is a transformation that preserves the shape and size of a figure such as translation, reflection and rotation.

Quadrilateral FGHJ is dilated according to the rule Do,Two-thirds(x,y) to create the image quadrilateral F'G'H'J', which is not shown. Quadrilateral FGHJ has points F(-5, -4), G(-3, -2), H(-1, -4) and J(-3, -6).

The coordinates of point J' in the quadrilateral F'G'H'J' is J'(-2, -4)

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Answer:

(-2,-4)

Step-by-step explanation:

Geometry B E2020!! :3

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

Answer:

Step-by-step explanation:

breanna's oranges were $1.25

jonathon's oranges were $1.33

Answer:

about =502.65

Step-by-step explanation:

Step-by-step explanation:

The way to find sidewalk area :")

Answer:

Exact - 40n m²

Approximate 125.6m²

Step-by-step explanation:

Exact area of the sidewalk - n * (11 m)² - n * (9 m)²

- n * 121 m²- n * 81 m²

Exact area of the sidewalk - 40n m²

To find the approximate area of side walk let us substitute pi equals 3.14.

40*3.14 m²

Approximate area of the side walk - 125.6 m²

Therefore the exact area is 40n m² , the approximate area is 125.6 m²

Answer:

Altogether, 420 items will be sold.

Step-by-step explanation:

12 · 35 = 420

C is the point on the ground where the person is standing and which is making the angle of elevation of 60° AB (Height) = ? Example 2 :Height of tree is 8.65m, the angle of elevation of the top of tree is 60° find the distance at which the person is standing away from tree ? Solution : Let AB is the tree. B is the foot and A is the top of tree.

2 ft above

Now

Angle be x

Apply Pythagorean theorem

\(\\ \rm\Rrightarrow tanx=\dfrac{10}{400}\)

\(\\ \rm\Rrightarrow tanX=\dfrac{1}{40}\)

\(\\ \rm\Rrightarrow tanX= 0.025\)

\(\\ \rm\Rrightarrow X=tan^{-1}(0.025)\)

\(\\ \rm\Rrightarrow X=1.432°\)

The growth rate of bacteria in a culture is not specified, so assuming it is exponential, the number of bacteria present after 2 hours will be approximately 1.8 x 10^8.

To solve this problem, we can use the exponential growth formula: N(t) = N0 * e^(rt), where N(t) is the number of bacteria at time t, N0 is the initial number of bacteria, r is the growth rate, and e is the base of the natural logarithm. First, we need to find the growth rate, r. We can use the initial and final number of bacteria and the time interval to do this.

N(t) = N0 * e^(rt)

171 = 38 * e^(49r)

ln(171/38) = 49r

r = ln(171/38)/49

r ≈ 0.069 Now we can use the formula to find N(120) (i.e., the number of bacteria after 2 hours, or 120 minutes):

N(120) = 38 * e^(0.069 * 120)

N(120) ≈ 1.8 x 10^8 Therefore, approximately 1.8 x 10^8 bacteria will be present in the culture after 2 hours.

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The area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

To solve this problem, we can use the formula for the volume of a hexagonal prism:

V = (3√3/2) * a^2 * h

where V is the volume, a is the length of one side of the hexagonal base, and h is the height of the prism.

We are given that the height of the prism is 4 units and the volume is 98 units^3. Plugging these values into the formula, we can solve for the length of one side of the base:

98 = (3√3/2) * a^2 * 4
a^2 = 98 / (12√3)
a ≈ 2.95

Now that we know the length of one side of the base, we can find the area of the hexagon by using the formula:

A = (3√3/2) * a^2

where A is the area of one of the bases. Plugging in the value we found for a, we get:

A = (3√3/2) * (2.95)^2
A ≈ 7.39

Therefore, the area of one of the bases of the hexagonal prism is approximately 7.39 units^2.

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Using the line plot graph, we can conclude that the 5th distance that is 5/4 is the most common distance from home to the grocery store.

A line plot is a type of graph that shows the frequency of each value together with the data using symbols above a frequency number-line. It is used to organise the information simply and is very easy to comprehend.

In the given graph we can see that the distance values are given.

So, in the first instance the number of times the distance is used = 2.

The 2nd distance has been used = 3.

The 3rd distance has been used = 2.

The 4th distance has been used = 4.

The 5th distance has been used = 5.

The 6th distance has been used = 2.

The 7th distance has been used = 2.

The 8th distance has been used = 2.

Hence, we can conclude that the 5th distance that is 5/4 is the most common distance from home to the grocery store.

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The Roman numeral less than 100 is written using the greatest number of symbols​ is 88, written as LXXXXVIII.

Roman numerals are a system of numbers that were first used in ancient Rome and continued to be widely used in Europe well into the Late Middle Ages. Latin alphabetic letter combinations are used to represent numbers, and each letter has a predetermined integer value.

Here, the number 88 is written as LXXXXVIII.

Therefore, the Roman numeral less than 100 is written using the greatest number of symbols​ is 88, written as LXXXXVIII.

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The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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From the defined functions in problem, the functions that are mapped from z to z, and onto functions are f(n) = n - 1, \( f( n) = [\frac{n}{2}] \). So, option(a) and option(d) are right choice.

Onto functions work on the codomain. Here we want to check if it contains elements not associated with any element in the domain. Definition: A function f: A→B is onto if, for every element b∈B, there exists an element a∈A such that f(a)=b. An onto function is also called surjective. We have a number of functions that are mapped from Z to Z and we will identify which is onto function or not. Let's consider each one by one

a) f : Z→Z such that f( n) = n - 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m - 1 = m -1 i.,e., f(a) = b. So, it is an onto function.

b) f : Z→Z such that f( n) = n² + 1

For all m∈Z( Co-domain) and consider (m - 1)∈Z( domain) s.t f( m) = m² + 1 i.,e., two values of m exist and f(a) ≠ b.So, it is not onto function.

c) f : Z→Z such that f( n) = n³ ( cubic function), If f(n) = 2, where n( domain) and 2 (co-domain)

=> n³ = 2

=> n = 2⅓

So, it is not onto function.

d) f : Z→Z such that,\(f( n) = [\frac{n}{2}] \)

For all m∈Z( Co-domain) and consider 2m∈Z( domain) s.t f( 2m) = \(f(2m) = [\frac{2m}{2}] \)

= m

So, for every m there exits 2m such that, f(2m) = m. Hence, the onto functions are f( n) = n - 1 and \(f( n) = [\frac{n}{2}] \).

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To find the equation for line m, that is perpendicular to line k, we will take the steps below:

First, find the slope of line k from the graph given

To find the slope, locate the coordinates of any given 2 points from the line.

we have;

(4, 0) and (0, 3)

From the points above:

x₁= 4 y₁=0 x₂=0 y₂=3

slope = y₂-y₁ /x₂- x₁

substitute the values of the coordinate into the formula above

slope = 3 - 0 / 0 -4

= 3/ -4

= - 3/4

slopes of perpendicula equations are given by;

m₁m₂= -1

let m₁ be slope of k and m₂ be slope of m

(-3/4)m₂ = -1

multiply both-side of the equation by -4/3

m₂ = 4/3

The above is the slope of line M

Next, is to find the intercept of line M

y=mx + b

Answer:

the answer is 2 on the number line.

Step-by-step explanation:

-8 + 10 = 2

Answer:

j = 3

Step-by-step explanation:

Recall the slope formula:

\(m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

Now, simply substitute the values from the question.

\(\frac{1}{3} =\frac{-4+3}{j-6}\)

Now, use the cross-multiplication method. (remember, when subtracting negatives, the negative becomes a positive)

\(1(j-6)=3(-4+3)\)             Cross Multiplication

\(1(j-6)=3(-1)\)                   Simplify

\(j-6=-3\)                            Distributive Property

\(j=3\)                                     Addition Property

Therefore, j = 3.

6x^2+4x+8

6x7^2+4x+8

blah  blah blah

ANSWER

330

pls say if im right

Answer:

Step-by-step explanation:

\(6x^2 +4x +8\\x =7\\\\6(7)^2 +4(7) +8\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:\left(7\right)^2\::\quad 49\\\\=6\cdot \:49+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\cdot \:49\::\quad 294\\\\=294+4\left(7\right)+8\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\left(7\right)\::\quad 28\\\\=294+28+8\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:294+28+8\:\\:\quad 330\)

Answer:

5.39

Step-by-step explanation:

To find the third side (let's call it x) you plug the side lengths given into the Pythagorean theorem to get:

5² + 2² = x²

Which, simplified, is:

25 + 4 = x²

And to get x, you do:

x=√(29)

So, if you want it to the nearest hundredth, it is 5.39.

square root of 29.00

Step-by-step explanation:

5square +2square=29 to the nearest hundredth 29.00 .but there is no square root of 29

Answer: Let's assume that it takes Pam x minutes to give a haircut and y minutes to color hair.

From the information given, we can create two equations:

2x + y = 83 (Pam gave 2 haircuts and colored the hair of 1 client in 83 minutes)

1x + 3y = 164 (Pam gave 1 haircut and colored the hair of 3 clients in 164 minutes)

To solve for x and y, we can use elimination method or substitution method. Let's use substitution method.

From the first equation, we can solve for y in terms of x:

y = 83 - 2x

Substituting this into the second equation, we get:

1x + 3(83 - 2x) = 164

Simplifying and solving for x, we get:

x = 30

Substituting this value of x into either of the two equations, we can solve for y:

2(30) + y = 83

y = 23

Therefore, it takes Pam 30 minutes to give a haircut and 23 minutes to color hair.

Step-by-step explanation:

We have shown that (A ∪ B) - B' = A - B for any sets A and B.

To prove that (A ∪ B) - B' = A - B, we need to show that any element in the left-hand side is also in the right-hand side and vice versa.

First, let's consider an arbitrary element x in (A ∪ B) - B'. This means that x is in the union of A and B, but not in the complement of B. Therefore, x is either in A or in B, but not in B'. If x is in A, then x is also in A - B because it is not in B. If x is in B, then it cannot be in B' and thus is also in A - B. Hence, we have shown that any element in the left-hand side is also in the right-hand side.

Now, let's consider an arbitrary element y in A - B. This means that y is in A, but not in B. Since y is in A, it is also in (A ∪ B). Moreover, since y is not in B, it is not in B' and thus also in (A ∪ B) - B'. Therefore, we have shown that any element in the right-hand side is also in the left-hand side.

Thus, we have shown that (A ∪ B) - B' = A - B for any sets A and B.

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Answer:

Step-by-step explanation:

Solve each inequality in the system:

The solution is:

The integer solution set is:

\(\\ \rm\rightarrowtail 3-2a<13\)

\(\\ \rm\rightarrowtail -2a<10\)

\(\\ \rm\rightarrowtail -a<5\)

\(\\ \rm\rightarrowtail a>-5\)

And

\(\\ \rm\rightarrowtail 5a<17\)

\(\\ \rm\rightarrowtail a<17/5\)

\(\\ \rm\rightarrowtail a<3\dfrac{2}{5}\)

So

solution set

\(\\ \rm\rightarrowtail a\in\left(-5,3\dfrac{2}{5}\right)\)

So

Answer:

Sample SD = 12.3

Population SD = 11.7.

Step-by-step explanation:

The mean of the scores

= The sum of the ten numbers  / 10

= 84.4

Now work out the differences of each score from this mean

61 - 84.4 = -23.4 ;  67 - 84.4 = -17.4

The other 8 differences are -3.4, -1.4, 2.6, 3.6, 4.6, 5.6, 13.6 and 15.6

Squares of these differences are :

547.56, 302.76, 11.56, 1.96, 6.76, 12.96, 21.16, 31.36, 184.96 and 243.36.

The Sum of these squares = 1364.4

The Sample Standard Deviation = √(sum of the squared difference/ (n-1)]

= √[1364.4/9]

= 12.3.

The Population Standard Deviation = √(sum of the squared difference/ (n)]

= √[1364.4/10]

= 11.7.

Answer:

answer 215 nickels

Step-by-step explanation:

The expected value is 0.18 and the standard deviation is 1.13.

a. Imputed probabilities can be used to find the probability that a company will hire at least one person. It means finding the probability that the firm will not hire and subtracting it from 1. The probability of not adjusting is 6%. So the probability of making at least one adjustment is 1 - 6% = 94%.

b. The anticipated value of a random variable is the weighted average of all possible values ​​it can take. where the weights are the probabilities of those values ​​occurring. In this case, the possible values ​​for the set number are 0, 1, 2, and 3, each set with a certain probability. So the expected value is:

(0 × 6%) + (1 × 29%) + (2 × 29%) + (3 × 20%) = 0.18

Standard deviation is a measure of how spread out the possible values ​​are. Calculated as follows:

√(((0 - 0.18)^2 × 6%) + ((1 - 0.18)^2 × 29%) + ((2 - 0.18)^2 × 29%) + ((3 - 0.18)^2 × 20%)) = 1.13

Hence the expected value is 0.18 and the standard deviation is 1.13.

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Answer:

x^3 - 4x^2 - 6x + 3

Step-by-step explanation:

Divide using polynomial division.

The required answers are a) 17.1 km b) 7.1 km, c) 18.6 km away from town A on a bearing of 293°.

To solve this problem, we can use vector addition to find the displacement vector from town A to the cyclist's destination.

a) To find how far east the cyclist's destination is from town A, we need to find the east component of the displacement vector. We can break down the displacement vector into its north and east components using trigonometry:

\($$\text{East displacement} = 5\text{ km} + 10\text{ km}\cos(45^\circ) = 5\text{ km} + 10\text{ km}\frac{\sqrt{2}}{2} = 10\text{ km} + 5\sqrt{2}\text{ km} \approx 17.1\text{ km}$$\)

So the cyclist's destination is approximately 17.1 km east of town A.

b) Similarly, to find how far north the cyclist's destination is from town A, we need to find the north component of the displacement vector:

\($$\text{North displacement} = 10\text{ km}\sin(45^\circ) = 10\text{ km}\frac{\sqrt{2}}{2} = 5\sqrt{2}\text{ km} \approx 7.1\text{ km}$$\)

So the cyclist's destination is approximately 7.1 km north of town A.

c) To find the distance and bearing of the cyclist's destination from town A, we can use the Pythagorean theorem and trigonometry. The displacement vector is the hypotenuse of a right triangle with legs of length 17.1 km and 7.1 km, so its length is:

\($$\text{Displacement} = \sqrt{(17.1\text{ km})^2 + (7.1\text{ km})^2} \approx 18.6\text{ km}$$\)

To find the bearing of the displacement vector, we can use the inverse tangent function:

\($$\text{Bearing} = \tan^{-1}\left(\frac{\text{East displacement}}{\text{North displacement}}\right) \approx 67^\circ$$\)

However, this angle is measured clockwise from north, so we need to subtract it from 360° to get the bearing measured counterclockwise from north:

\($$\text{Bearing} = 360^\circ - 67^\circ = 293^\circ$$\)

So the cyclist's destination is approximately 18.6 km away from town A on a bearing of 293°.

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Answer:

Volume = 90in^3

Step-by-step explanation:

V = 3in x 15in x 2in = 90in^3

Answer:

Step-by-step explanation:

The volume of the prism must be found in order to solve this problem.

GIVEN:

\(\Longrightarrow: \sf{V=L*W*H}\)

\(\Longrightarrow: \text{LENGTH: = 3}\\\\\Longrightarrow: \text{WIDTH: = 15}\\\\\Longrightarrow: \text{HEIGHT: = 2}\)

SOLUTION:

Multiply.

\(\sf{3\ in*15\ in*2\ in=\boxed{\sf{90\ in^3}}\)

I hope this helps. Let me know if you have any questions.