Make a list of professionals who routinely apply geometry in their work. Start by reading about these careers that use geometry

Answer:

P = 8/11

Explanation:

The total number of competitors are:

1 + 3 + 4 + 3 = 11 competitor

Then, the number of competitors that reacted in less than 0.3 seconds or was male is the sum of:

Male and less than 0.3 seconds = 1

Female and less than 0.3 seconds = 3

Male and 0.3 to 0.7 seconds = 4

Therefore, 8 competitors reacted in less than 0.3 seconds or were male.

So, the probability is equal to:

P = 8/11

Answer:

$56243.20

Step-by-step explanation:

the equation would be 50000(1+4%)^3. Solve for that and get your answer.

Answer:

12.9

Step-by-step explanation:

tan⁡θ=opp/adj

tan 24° = x/29

x = 29 tan 24°

x = 12.9

3. 606

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a) The first four nonzero terms of the power series for f(x) about x=0 are

e^6 - 2x^2 + (2x^4)/2! - (2x^6)/3!

The general term of the power series is (-2)^n (2x)^(2n) / (2n)!

b) The interval of convergence of the power series is (-∞, ∞).

c) To estimate the error between f(x) and its partial sum g(x) given by the sum of the first four nonzero terms of the power series, we can use the Lagrange form of the remainder

|R4(x)| = |f(x) - g(x)| ≤ M |x|^5 / 5!

a) To find the power series for f(x) about x = 0, we can use the Maclaurin series formula

f(x) = Σ[n=0 to ∞] (fⁿ(0)/n!) xⁿ

where fⁿ(0) denotes the nth derivative of f evaluated at x=0.

In this case, we have

f(x) = e^6(-2x^2)

fⁿ(x) = dⁿ/dxⁿ(e^6(-2x^2)) = (-2)^n(2x)^ne^6(-2x^2)

So, we can write the power series as

f(x) = Σ[n=0 to ∞] ((-2)^n(2x)^n e^6(0))/n!)

= Σ[n=0 to ∞] ((-2)^n (2x)^n /n!)

To find the first four nonzero terms, we substitute n = 0, 1, 2, and 3 into the above formula

f(0) = e^6

f'(0) = 0

f''(0) = 24

f'''(0) = 0

So, the first four nonzero terms of the power series are:

e^6 - 2x^2 + (2x^4)/2! - (2x^6)/3!

The general term of the power series is

(-2)^n (2x)^(2n) / (2n)!

b) To find the interval of convergence of the power series, we can use the ratio test

lim [n→∞] |((-2)^(n+1) (2x)^(2n+2) / (2n+2)! ) / ((-2)^n (2x)^(2n) / (2n)!)|

= lim [n→∞] |-4x^2/(2n+1)(2n+2)|

= lim [n→∞] 4x^2/(2n+1)(2n+2)

Since this limit depends on the value of x, we need to consider two cases

i) If x = 0, then the power series reduces to the constant term e^6, and the interval of convergence is just x=0.

ii) If x ≠ 0, then the series converges absolutely if and only if the limit is less than 1 in absolute value

|4x^2/(2n+1)(2n+2)| < 1

This is true for all values of x as long as n is sufficiently large. So, the interval of convergence is the entire real line (-∞, ∞).

c) We can use the Lagrange form of the remainder to estimate the error between f(x) and its partial sum g(x) given by the sum of the first four nonzero terms of the power series

|R4(x)| = |f(x) - g(x)| ≤ M |x|^5 / 5!

where M is an upper bound for the fifth derivative of f(x) on the interval [-0.6, 0.6].

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Answer:

Adam's thinking is not correct.

When subtracting 10 from 708, we need to borrow 1 from the hundreds digit and add it to the tens digit. This will result in a new hundreds digit of 6 and a new tens digit of 9. The ones digit remains the same. Therefore, the correct answer would be 698.

Adam's answer is also 698, but his reasoning is incorrect. He thinks that both the tens and hundreds digits change, which is not the case. In reality, only the tens digit changes while the hundreds digit decreases by 1 due to the borrowing process.

thank me by marking my answer as brainliest!

Answer:

7 seconds

Step-by-step explanation:

1820/260=7.

Answer:

7m/sec

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Pythagoras. c² = a² + b²

since both "side angles" are equal (45 degrees), we know it is an isosceles triangle, that means also the other side = x.

and so,

8 = x² + x² = 2x²

4 = x²

x = 2

Answer:

x = 2

Step-by-step explanation:

sin(45)/x = sin(90)/\(\sqrt{8}\)

\(\sin \left(45^{\circ \:}\right)=\frac{\sqrt{2}}{2}\)

x = \(\sqrt{8}\) \(\sin \left(45^{\circ \:}\right)\)

\(x = \sqrt{8} \frac{\sqrt{2}}{2}\)

x = \(\frac{\sqrt{16} }{2}\)

x = 4/2

x = 2

Answer: 42 packages per hour

Step-by-step explanation:

The roots of the function F(x) = x³ + 2x² + 4x + 8 are given as follows:

B. 1 real root and 2 complex roots.

The function in this problem is defined as follows:

F(x) = x³ + 2x² + 4x + 8.

The function is of the third degree, hence the total number of zeros of the function is of 3.

From the graph, the function has only one x-intercept, which is given as follows:

x = -2.

Hence the two remaining roots are the complex roots, meaning that option B is the correct option for this problem.

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The y-intercept of the graph is: 3,000

The slope is: -2.75

The linear equation of the graph is: y = -2.75x + 3,000.

The linear equation that represents a linear graph shows the slope (m) and y-intercept (b) of the graph and is expressed in slope-intercept form as, y = mx + b.

In the given graph:

The y-intercept (b) is the starting value, which is the point on the y-axis where the line intercepts, and it is equal to: 3,000.

Using two points on the graph, (0, 3,000) and (2, 2,450), the slope of the graph = change in y / change in x = (3,000 - 2,450)/(0 - 2) = 550/-2 = -2.75.

To write the linear equation, substitute m = -2.75 and b = 3,000 into y = mx + b:

y = -2.75x + 3,000.

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Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

a) 28 flats

Step-by-step explanation:

A) Let the no. of flats be x

Lets take a proportion:

=> 7:4 :: 49 : x

Writing it in fraction form

=> \(\frac{7}{4} = \frac{49}{x}\)

Cross Multiplying

=> 7x = 196

Dividing both sides by 7

=> x = 28 flats

B) I got the answer by simply taking the proportion.

Answer:

  (f -g)(2) = 14

Step-by-step explanation:

You can write the expression for the composite function as ...

  (f -g)(x) = f(x) -g(x) = (3x² +1) -(1 -x)

  (f -g)(x) = 3x² +x

Then for x = 2 ...

  (f -g)(2) = 3(2²) +2

  (f -g)(2) = 14

A polynomial of degree n can pass through n + 1 points. So, if we have n + 1 points, we can construct a unique polynomial that passes through all those points.

A nonzero polynomial passing through a specific point (x, y) means that the value of the polynomial at that x-coordinate must be equal to the y-coordinate of the point. So, if the point (2, 0) is one of the points that the polynomial passes through, then we have:

\(p(2) = 0\)

We can construct a polynomial with this information. For example, one possible polynomial is:

\(p(x) = (x - 2)^2\)

This polynomial satisfies the equation p(2) = 0 since:

\(p(2) = (2 - 2)^2 = 0^2 = 0\)

Therefore, the polynomial \(p(x) = (x - 2)^2\) is a nonzero polynomial that passes through the point (2, 0) and satisfies the equation p(x). Note that there could be other polynomials that also satisfy the given conditions.

In general, a polynomial of degree n can pass through n + 1 points. So, if we have n + 1 points, we can construct a unique polynomial that passes through all those points.

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The complete question is :

Find A Nonzero Polynomial P(\(x\)) Passing Through The Point (2,0) And Satisfying The Equation P(\(x\)) = P'(\(x^2\))?

Answer:

The correct answer is C. $575. The business bought equipment with $150 cash and put $425 on credit, so the total value of the asset is $575 ($150 + $425).

First, find the value of f(3) and g(2). Then, substract them.

Substitute x=3 in the expression for f(x) to find the value of f(3):

Then:

Substitute x=2 in the expression for g(x) to find the value of g(2):

Then:

Substitute the values of f(3) and g(2) to find f(3)-g(2):

Therefore:

Answer:

∠ B = 60°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x - 45 is an exterior angle of the triangle , then

10x - 45 = 3x + 4x = 7x ( subtract 7x from both sides )

3x - 45 = 0 ( add 45 to both sides )

3x = 45 ( divide both sides by 3 )

x = 15

Then

∠ B = 4x = 4 × 15 = 60°

Answer:

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.

We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.

I hope this helps!

Answer:

yes

Step-by-step explanation:

they are congruent

Answer: this is a guess but 7.69 percent chance that you will pick a blue candy

Step-by-step explanation:

Answer:

Choosing 1 blue and 1 green candy

Step-by-step explanation:

There are no red candies and there is only 1 blue candy.

Answer: 14

Step-by-step explanation:

Answer:

I'm pretty sure it should be 14 :)

37% I believe.

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Answer:

raising a number to the 34th power

Step-by-step explanation:

Answer:

relate the values and find the correct answer

Answer:

498.8

Step-by-step explanation: