Answer this question please

Answer:

Slope: 2/7

Step-by-step explanation:

y2 - y1/ x2 - x1 = 2/7

a)

The x-intercept can be found as:

Therefore, the x-intercept is: (-2,0)

The y-intercept can be found evaluating the function for x = 0, so:

b) The parent function for this is given by:

c)

1st: A reflection over y-axis:

2nd: A horizontal compression:

3rd: A horizontal translation 8 units to the left:

4th: A reflection over y-axis:

5th: A vertical compression:

6th: A vertical translation 1 unit up:

d)

Where the blue graph is the parent function:

And the red graph is the function after the transformations:

e)

The domain and the range are:

a) Poles: 0, -2i, +2i; Zeros: +I, -i. b) Number of asymptotic branches: 2. c) Asymptotes: Re(s) = -1, Re(s) = -∞. d) Center point(s): No center point(s). e) Branch departure/arrival angles: 180°, 0°, 180°.


a) The poles of the transfer function L(s) = (s² + 1) / (s(s² + 4)) are obtained by setting the denominator equal to zero, resulting in poles at s = 0, s = -2i, and s = +2i. The zeros are obtained by setting the numerator equal to zero, resulting in zeros at s = +I and s = -i.
b) The number of asymptotic branches is determined by the difference between the number of poles and zeros, which is 2 in this case.
c) The asymptotes can be found using the formula Re(s) = (2k + 1)π / n, where k ranges from 0 to (n-1), and n is the number of asymptotes. In this case, there are two asymptotes with Re(s) = -1 and Re(s) = -∞.
d) There are no center point(s) since the transfer function has no finite zeros or poles.
e) The branch departure/arrival angles can be calculated using the formula ∠G(s) = (2k + 1)180° / n, where k ranges from 0 to (n-1), and n is the number of asymptotes. In this case, the branch departure/arrival angles are 180°, 0°, and 180°, corresponding to the two poles and one zero.

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Courtney rides for two hours on a bicycle, traveling 24 miles from her home. She has ridden for nine hours and is now 101 miles away. Courtney travels at a speed of 6 mph.

Let x represent the duration in hours and y the distance in miles.

Courtney travels 24 miles from her home after a two-hour ride.

She has traveled 101 miles after riding for nine hours.

rate is the slope

We divide the change in hours by the change in miles to find the rate.

\(Slope=\frac{y_{2} - y_{1} }{x_{2}-x_{1} } \\Slope=\frac{101-24}{9-2} \\Slope= \frac{77}{7} \\Slope=11\)

Therefore, Courtney's speed is 11 mph.

The speed of something or someone is shown to us. If you know how far and how long it took, you can find the average speed of an object.

The distance covered in a given amount of time would also double if one were to speed up. We need to know how far an object has traveled in order to determine its speed, and the slowest speeds are measured over the longest time periods.

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the value of F(9) is approximately 23.308.

To find the value of F(9) given that F(x) is an antiderivative of (ln x)^3/x and F(1) = 0, we can use the fundamental theorem of calculus.

According to the fundamental theorem of calculus, if F(x) is an antiderivative of a function f(x), then:

∫[a,b] f(x) dx = F(b) - F(a)

Since F(1) = 0, we can write:

∫[1,9] (ln x)^3/x dx = F(9) - F(1)

To evaluate the integral, we can make a substitution:

Let u = ln x, then du = (1/x) dx

The integral becomes:

∫[ln 1, ln 9] u^3 du

Integrating u^3 with respect to u:

[(1/4)u^4] | [ln 1, ln 9] = (1/4)(ln 9)^4 - (1/4)(ln 1)^4

Since ln 1 = 0, we have:

(1/4)(ln 9)^4 - (1/4)(ln 1)^4 = (1/4)(ln 9)^4

Therefore, F(9) - F(1) = (1/4)(ln 9)^4

Since F(1) = 0, we can conclude that F(9) = (1/4)(ln 9)^4.

Calculating this value:

F(9) = (1/4)(ln 9)^4 ≈ 23.308

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1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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Answer:

x=2

Step-by-step explanation:

subtract 7/9x -4/9x

3/9x= 1/4 +5/12

first change 1/4 to 3/12

then add 3/12 + 5/12

3/9x = 8/12

change 3/9x to 1/3x then to 4/12x

4/12x = 8/12

then mulitiply by the reciprical 12/4 on both sides

x = 2

Hello!

Answer:

x=4.2

Step-by-step explanation:

first, you want to add 1.2 to both sides

x-1.2+1.2=3+1.2

=x=4.2

= x=4.2 :)

Hope this helps!

Answer:

Step-by-step explanation:

The shape cam be split into a triangle and a trapezoid

✔️Area of the trapezoid = ½(a + b)h

Where,

a = 12.5 ft

b = 16.7 ft

h = 11.6 ft

Plug in the values

Area of the trapezoid = ½(12.5 + 16.7)*11.6

Area of trapezoid = 169.36 ft²

✔️Area of the triangle = ½*b*h

b = 16.7 ft

h = 19.2 - 11.6 = 7.6 ft

Area of the triangle = ½*16.7*7.6

= 63.46 ft²

✔️Area of the shape = 169.36 + 63.46

= 232.82 ft²

Step-by-step explanation:

Hey there!!

The ratio is , 5:3.

Let x be the common factor.

Their shares = £16000.

Now,

5x + 3x = £16000

8x = £16000

\(x = \frac{16000}{8} \)

x = £2000

Therefore, William shares = 5x = 5×2000= £10000.

And Harry share = 3x = 3× 2000= £6000

Hope it helps...

Answer:

Harry’s share is £6,000.

Step-by-step explanation:

5:3 is the ratio of their share.

5+3 = 8

William’s share:

5/8 × £16,000

= £10,000

William’s share is £10,000

Harry’s share:

3/8 × £16,000

= £6,000

Harry’s share is £6,000

To find Harry's share faster, do this since you have found William's own:

£16,000 - £10,000

= £6,000

Answer:

(20-C)15+10C=225

Step-by-step explanation:

20 TICKETS

Adults = (20 - the number of children) x $12

(20-C)15+10C=225

300 - 15C + 10C = $225

300 - 5C = 225

-5C = -75

C= 15

A = 5

Children 15 x $10 = $150

Adults 5 x $15 = $75

$150 + $75 = $225

Answer:

ezzy my guy the aware is

Step-by-step explanation:

The probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values can be calculated by determining the number of favorable outcomes and dividing it by the total number of possible outcomes.

When rolling four dice, each die can have six possible outcomes, ranging from 1 to 6. To find the probability of obtaining a sum of 18, we need to determine the number of favorable outcomes. In this case, we are interested in the three highest values summing up to 18.

To calculate this, we can use combinations. The three highest values that can result in a sum of 18 are 6, 6, and 6. We can choose these three values from the four dice in only one way. The remaining die can have any value from 1 to 6, giving us six possible outcomes.

Therefore, the number of favorable outcomes is 1, and the total number of possible outcomes is 6^4 (since each die has six possible outcomes and we are rolling four dice). Dividing the number of favorable outcomes by the total number of possible outcomes gives us the probability: 1/(6^4) ≈ 0.00077, or approximately 0.077%. Thus, the probability of obtaining a sum of 18 when rolling four dice and taking the sum of the three highest values is very low.

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The polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

Area of trapezoid = 1/2(a + b)h, where a and b are length of the parallel sides, and h is the height.

Given:

a = 3x + 5

b = x - 2

h = 2x - 5

Thus:

Area of trapezoid = 1/2(3x + 5 + x - 2)(2x - 5)

Area of trapezoid = 1/2(4x + 3)(2x - 5)

Area of trapezoid = 1/2(8x² - 14x - 15)

Therefore, the polynomial that represents the area of the trapezoid shaped window is: 1/2(8x² - 14x - 15).

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Answer:

AC = 16

KL = 5.625

Source(s):

Dude trust me

brainliest tho??

Step-by-step explanation:

5/KL = 12/13.5

12KL = 67.5

KL = 5.625

AC/18 = 12/13.5

13.5AC = 216

AC = 16

Answer:

Triangle P' Q' R' is half the size of the original triangle.

-The scale factor is probably 1/3.

Part B: P'(1, −2), Q'(0, 3), and R'(−1, 0).

Part C: No, the triangles are not congruent. If the second triangle didn't have a dilation, and instead have a reflection of the first triangle, then it would be congruent.

Step-by-step explanation:

:)

Solid, is there an actual question?

Answer:

what question do you need helped with again?

Given:

The length of the sides of the triangles is given.

Required:

Find the length of the missing side.

Explanation:

Let the length of the missing side is x.

By using the triangle proportionality theorem

solve the equation by cross multiplication.

Final Answer:

The missing length will be

9514 1404 393

Answer:

  x^9

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

  \(x^3\times x^4\times x^2=x^{4+3+2}=\boxed{x^9}\)

Answer:

A

Step-by-step explanation:

7*9*5*10*10*10*10=3150000

Answer:

2

Step-by-step explanation:

7/4 - (-1/4)

Subtracting a negative is adding

7/4 + 1/4

8/4

Simplifying

2

Answer:

3/4

Step-by-step explanation:

you start at the y-intercept or 1 and move 4 to the right, then 3 up.

Answer:

3/4 is the slope

Step-by-step explanation:

rise over run

go up 3 and over 4 to find where the line plots its next point

Hope this Helps :)

Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC

From the complete question, we have the following coordinates:

The dilation rule across the center P is:

(x, y) --> (1/3x – 1, 1/3y + 4)

So, the coordinates of the image of the triangle are:

A' =  (-1/3 * 4 – 1, 1/3 * 5 + 4)

A' =  (-7/3, 17/3)

B' =  (1/3 * 7 – 1, -1/3 * 7 + 4)

B' =  (4/3, 5/3)

C' =  (-1/3 * 2 – 1, 1/3 * 2 + 4)

C' =  (-5/3, 14/3)

From the above computation, the coordinates of the new triangle is:

A' =  (-7/3, 17/3)

B' =  (4/3, 5/3)

C' =  (-5/3, 14/3)

See attachment for the image of triangle ABC

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Answer:

these both are ture

Step-by-step explanation:

This proof shows that the zero vector is in Col A, the vector Ax C Aw is in Col A, and c.Ax/ is in Col A, given a scalar c. This proves Theorem 3, which states that an element in Col A has the form Ax for some x in Rn.

a. The zero vector is in Col A because it is the result of multiplying the zero vector in Rn by matrix A. Therefore, A(0) = 0, which is the zero vector in Col A.

b. To show that the vector Ax C Aw is in Col A, we need to show that Ax C Aw can be written in the form A(x + w) for some vectors x and w in Rn. Since Ax and Aw are in Col A, they can be written as A(x) and A(w) for some vectors x and w in Rn. Therefore, Ax C Aw = A(x + w). Thus, the vector Ax C Aw is in Col A.

c. Given a scalar c, we need to show that c.Ax/ is in Col A. We can rewrite c.Ax/ as cA(x). Since A(x) is in Col A, then cA(x) is also in Col A. Therefore, c.Ax/ is in Col A.

This proof shows that the zero vector is in Col A, the vector Ax C Aw is in Col A, and c.Ax/ is in Col A, given a scalar c. This proves Theorem 3, which states that an element in Col A has the form Ax for some x in Rn.

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The smallest initial number that results in a win for Bernardo is 31.

Here's the breakdown of how the game would play out:

If Bernardo starts with any number less than 31, the final number will be less than 100 and Bernardo will win. Any number greater than 31 will result in Bernardo losing.

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The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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The half-life of this radioactive material is , 62.126 years

The half-life of the radioactive material, we can use the formula:

N(t) = N⁰ \(e^{-kt}\)

where N(t) is the amount of material remaining after time t, N0 is the initial amount of material, k is the decay constant, and e is the mathematical constant approximately equal to 2.71828.

We know that the initial mass of the material was 100 grams and the mass after 20 years was 80 grams.

This means that the amount of material remaining after 20 years is:

N(20) = 80/100 = 0.8

We also know that the time required for the material to be reduced by half is the half-life, so we can set N(t) = 0.5N0 and solve for t:

0.5N0 = N⁰ \(e^{-kt}\)

0.5 = \(e^{-kt}\)

ln(0.5) = -kt

t = ln(0.5)/(-k)

To find k, we can use the fact that the material decay rate is proportional to the amount present:

k = ln(2)/t_half

where t_half is the half-life.

Substituting this into the equation for t, we get:

t = ln(0.5)/(-ln(2)/t_half)

Simplifying this expression, we get:

t = t_half * ln(2)

Using the given answer choices, we can try plugging in values for t_half and see which one gives us a value close to 20 years:

If t_half = 54.343 years, then t = 37.38 years, which is too low.

If t_half = 56.442 years, then t = 38.93 years, which is also too low.

If t_half = 59.030 years, then t = 40.68 years, which is too high.

If t_half = 61.045 years, then t = 42.33 years, which is too high.

If t_half = 62.126 years, then t = 43.13 years, which is close to 20 years.

Therefore, the half-life of this radioactive material is, 62.126 years.

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