A boat heading out to sea starts out at Point A, at a horizontal distance of 1315 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 12^{\circ}. At some later time, the crew measures the angle of elevation from point B to be 8^{\circ}. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answer:

a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.

Step-by-step explanation:

The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

For an absolute value function to be narrower than its parent function, the following highlights must be true:

From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2

However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|

Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x|  and f(x) = 1.2|x + 8|

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Therefore, The day and time the analogue  clock will be correct again    is 6 PM on Wednesday.

To determine when the analogue clock will show the correct time again, we can calculate the time it takes to reach 12 hours which is 720minutes. that is half a day.

Time to gain 720 minutes = 720 minutes/1/8  minute per hour.

720 * 8 = 5760 hours.

Since there are 24 hours in a day we can divide it by 24 hours.

5760/24 = 240 days.

Starting from 6 PM on Saturday, we will add 240 days to know when the time will be correct again.

Therefore, The day and time the analogue  clock will be correct again    is 6 PM on Wednesday.

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The difference between the exact and ordinary interest on the loan is $18.19. The Option B.

Exact Interest:

= Principal x (1 + r)^n - Principal where n = 240 / 30 = 8 and r = 0.07 / 12 = 0.00583.

Plugging the values:

= $30,000 x (1 + 0.00583)^8 - $30,000

= $31,418.19 - $30,000

= $1,418.19

Ordinary Interest:

= Principal x Rate x Time where time = 240 / 360 = 2/3 years

Plugging the values:

= $30,000 x 0.07 x 2/3

= $1,400

The difference between Exact and Ordinary Interest:

= Exact Interest - Ordinary Interest

= $1,418.19 - $1,400

= $18.19

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To find \(dy/dx\) by implicit differentiation, we will differentiate both sides of the equation \(5x^2 + 2y^3 = 10\) with respect to x.

Differentiating the left side:

\(d/dx(5x^2 + 2y^3) = d/dx(10)\)

Using the power rule, the derivative of \(x^2\) with respect to x is 2x:

\(10x + d/dx(2y^3) = 0\)

Now, we need to find \(d/dx(2y^3)\). To do this, we use the chain rule, which states that if we have a function of a function, the derivative is the derivative of the outer function multiplied by the derivative of the inner function.

For \(y^3\), the outer function is the cube function \(f(x) = x^3\) and the inner function is y(x).

\(d/dx(2y^3) = d/dx(2(f(y))^3) = 3(2(f(y))^2 * d/dx(f(y))\)

Using the chain rule again, we have:

\(= 3(2(f(y))^2 * f'(y) * dy/dx\)

Since \(f(y) = y\), the derivative of f(y) with respect to y is 1. Therefore,\(f'(y) = 1.\)

Substituting these values back into the equation, we have:

\(10x + 3(2(y)^2 * 1 * dy/dx = 0\)

Simplifying further:

\(10x + 6y^2 * dy/dx = 0\)

To isolate \(dy/dx\), we can subtract 10x from both sides:

\(6y^2 * dy/dx = -10x\)

Finally, we divide both sides by \(6y^2\) to solve for \(dy/dx\):

\(dy/dx = -10x / 6y^2\)

So, the derivative \(dy/dx\) for the equation \(5x^2 + 2y^3 = 10\), obtained by implicit differentiation, is \(-10x / 6y^2\).

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Answer:

$228,692

Step-by-step explanation:

10 years so 3.25% was added 10 times

3.25(10) = 32.5

32.5 + 100 = 132.5

So Jack paid 132.5% of his loan.

x/172,598 = 132.5/100

172598(132.5) =  22,869,235

22,869,235/100 = 228,692.35

Round it to the nearest dollar and you get 228,692

Answer:

3π sq.feet

Step-by-step explanation:

Area of the square = L²

L is the length of the square

Given

Area of the square = 12 ft square

12 = L²

L = √12

L = 2√3 feet

Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;

Area of the circle = πd²/4

Area of the circle = π(2√3)²/4

Area of the circle  = 12π/4

Area of the circle = 3π sq.feet

Answer:

13 should be x

Step-by-step explanation:

Solution :

7658 - 7000 = 658 - blank

658 = 658

So here, blank is 0.

547 - 7000 = 658 - blank

-7111 = 658 - blank

Blank = 7769

14 - 7000 = 658 - blank

- 6986 = 658 - blank

Blank = 7644

Answer:

  E, D, B, A, C

Step-by-step explanation:

Please report this incomplete question to your teacher. You should not have to put up with this nonsense.

__

A. (x, y) ⇒ (3x, y) . . . horizontal stretch by a factor of 3

B. (x, y) ⇒ (x+3, y) . . . translation 3 units right

C. (x, y) ⇒ (x, 3y) . . . vertical stretch by a factor of 3

D. (x, y) ⇒ (x, y+3) . . . translation 3 units up

E. (x, y) ⇒ (3x, 3y) . . . dilation with a scale factor of 3

If a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G

To show that if a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G, follow these steps:

1. Let H be the unique subgroup of G with a given order, say n.

2. Take any element g in G and consider the set gHg⁻¹, which is the conjugate of H by g. Here, g⁻¹ denotes the inverse of g.

3. We want to show that gHg⁻¹ is also a subgroup of G with the same order as H.

4. Notice that |gHg⁻¹| = |H|, since the mapping from H to gHg⁻¹ given by h ↦ ghg⁻¹ is a bijection.

5. Since there is only one subgroup of G with order n, we must have gHg⁻¹ = H.

6. As this holds for any element g in G, it means that H is a normal subgroup of G, by the definition of a normal subgroup.

So, if a finite group G has exactly one subgroup of a given order, then that subgroup is a normal subgroup of G.

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Answer:

a, the number of pupils that like maths

b. we are given the number of students in the class and the percentage that like maths

c. percentage of students that like maths x total number of students

0.7 x 40

d. 0.7 x 40

28

Step-by-step explanation:

Number of pupils that like maths = percentage of students that like maths x total number of pupils in the class

(70 / 100) x 40 = 28 pupils

Answer: 2

Step-by-step explanation:

Tony has 5 apples, Maggie takes 3 of his apples.

You subtract 3 from 5.

5 - 3 = 2

Tony has 2 apples left.

To show that the relation ≅ is an equivalence relation, we need to demonstrate three properties: reflexivity, symmetry, and transitivity.

1. Reflexivity: For any element x, x ≅ x.

To show reflexivity, we need to show that for any element x, x ≅ x. In other words, every element is related to itself.

2. Symmetry: If x ≅ y, then y ≅ x.

To show symmetry, we need to show that if x ≅ y, then y ≅ x. In other words, if two elements are related, their relation is bidirectional.

3. Transitivity: If x ≅ y and y ≅ z, then x ≅ z.

To show transitivity, we need to show that if x ≅ y and y ≅ z, then x ≅ z. In other words, if two elements are related to a common element, they are also related to each other.

Now, let's prove each property:

1. Reflexivity: For any element x, x ≅ x.

This property is satisfied since every element is related to itself by definition.

2. Symmetry: If x ≅ y, then y ≅ x.

Suppose x ≅ y. By definition, this means that x and y have the same property. Since the property is symmetric, it follows that y also has the same property as x. Therefore, y ≅ x.

3. Transitivity: If x ≅ y and y ≅ z, then x ≅ z.

Suppose x ≅ y and y ≅ z. By definition, this means that x and y have the same property, and y and z have the same property. Since the property is transitive, it follows that x and z also have the same property. Therefore, x ≅ z.

Since all three properties (reflexivity, symmetry, and transitivity) are satisfied, we can conclude that the relation ≅ is an equivalence relation.

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Answer:

B

Step-by-step explanation:

Exponent: 15/3 = 5

Coefficient: \(\sqrt[3]{200} =2\sqrt[3]{25}\)

Hope this helps!

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

Answer:

45.56

Step-by-step explanation:

25 percent of $36.45 = $9.11

How Much is the tip on $36.45?

In Herrnstein's matching equation, the letters and numbers to the left of the equals sign refer to behaviour.

THE MATCHING LAW

Herrnstein's Experiment Herrnstein (1961) conducted an experiment with pigeons in a room with two response buttons, red and white. Each key was assigned its own VI gain schedule. For example, under one condition, the left button pick was boosted on a VI 135 second schedule, and the right button pick was boosted on a VI 270 second schedule.

After the birds have learned as much as possible about this electoral situation, how do they distribute their responses? We trained them for days and then measured their reactions. As is often the case with VI schedules, birds returned many responses for each reinforcer received. Most interesting, however, is that in this condition, where two-thirds of the reinforcers came from the left button, the birds performed about two-thirds of the responses with the left button. That is, the proportion of left button responses equaled or matched the proportion of reinforcers delivered by the left button. In another condition, two birds received only about 15% of reinforcers from the left key and responded about 15% to that key.

Based on these results, Herrnstein proposed the following general principle for individual behavior when presented with alternative sequences. So, what you think makes sense rather than other options available at that particular moment.

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A parallelogram that must be a square can be described by the statement: "A parallelogram in which all angles are right angles (90 degrees) is a square."

In a parallelogram, opposite sides are parallel and congruent, and opposite angles are also congruent. However, for a parallelogram to be a square, it must have additional properties:

All angles are right angles: In a square, all four angles are equal and measure 90 degrees. This distinguishes a square from a general parallelogram where the angles can be acute or obtuse.

All sides are congruent: In a square, all four sides are equal in length. This equality of side lengths sets a square apart from a rectangular parallelogram, where only opposite sides are congruent.

Diagonals are congruent and bisect each other at right angles: The diagonals of a square are equal in length and intersect at right angles, dividing the square into four congruent right triangles.

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Complete question:

Which statement describes a parallelogram that must be a square? A parallelogram with opposite sides that are congruent and diagonals that bisect the angles. A parallelogram with a right angle and diagonals that bisect the angles. A parallelogram with a right angle and opposites sides that are congruent. A parallelogram with all sides congruent.

Answer:

Ayudame a ayudarte, sube la foto que no esté borrosa

para ayudarte

Step-by-step explanation:

Doubled of 132 which means 2 times 132 =

Subtract 12 doubled from 132

While write the expression whatever the expression after the word from that we have to write first

So Doubled of 132 - 12

- 12 -----> This is the final expression

If we simplify the above expression we will get

264 - 12

= 252

Answer:

2*(132-12)

Step-by-step explanation:

from 132 meaning its the biggest number or the number where operations act on.

subtract 12, so ignoring doubled, subtract 12 from 132 is 132-12,

doubled meaning x2 so its 2*(132-12)

Answer:

  6%

Step-by-step explanation:

You want the simple interest rate that results in an interest charge of $1800 on a $5000 loan for 6 years.

Your list of financial formulas will tell you that simple interest is computed as ...

  I = Prt . . . . interest on principal P at rate r for t years

Using the given information, we can fill in the values like this:

  1800 = 5000 × r × 6

Dividing by the coefficient of r gives ...

  1800/30000 = r = 6/100 = 6%

The annual interest rate for her loan was 6%.

Answer:

x = 11

Step-by-step explanation:

4 - 1 / x - 7 (simplify)

3 / x - 7 = 3/4 (multiply by x - 7)

3 = 3/4 (x - 7)

3 = 3/4x - 5.25 (add 5.25 to both sides)

8.25 = 3/4x (divide both sides by 8.25)

x = 11

sub into the formula to check:

4-1 / 11 - 7

3 / 4

The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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a. The PDF of X is f(x) = (1 / (3 * √(6π))) * exp(-(x - 2)² / 18)

b.

c. Using the Markov inequality, we can bound P(X ≥ 3) as 2/3 or less.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

a. To determine the Probability Density Function (PDF) of X, we need to use the characteristics of a Gaussian distribution. The PDF of a Gaussian distribution with mean μ and standard deviation σ is given by:

f(x) = (1 / (σ * √(2π))) * exp(-(x - μ)² / (2σ²))

In this case, the mean μ is 2 and the RMS value is o=3, which is equivalent to the standard deviation σ.

Therefore, substituting these values into the equation, we get:

f(x) = (1 / (3 * √(2π))) * exp(-(x - 2)² / (2 * 3²))

Simplifying further, we have:

f(x) = (1 / (3 * √(6π))) * exp(-(x - 2)² / 18)

So, this is the PDF of X.

b. To find P(X ≥ 3) using the PDF derived in part (a), we need to integrate the PDF from 3 to infinity:

P(X ≥ 3) = ∫[3, ∞] f(x) dx

P(X ≥ 3) = ∫[3, ∞] (1 / (3 * √(6π))) * exp(-(x - 2)² / 18) dx

Unfortunately, the integral cannot be solved analytically. However, it can be approximated using numerical methods or software.

c. The Markov inequality provides an upper bound for the probability of a random variable being greater than or equal to a positive constant. The inequality states:

P(X ≥ a) ≤ E(X) / a

Where P(X ≥ a) is the probability that X is greater than or equal to a, and E(X) is the expected value of X.

In this case, we want to find an upper bound for P(X ≥ 3). Since X is a Gaussian distribution with mean μ = 2, we have:

E(X) = μ = 2

Using the Markov inequality, we can bound P(X ≥ 3) as follows:

P(X ≥ 3) ≤ E(X) / 3

P(X ≥ 3) ≤ 2 / 3

Therefore, using the Markov inequality, we can bound P(X ≥ 3) as 2/3 or less.

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Answer:

2x4=8+3=11

Step-by-step explanation:

first multiply 2 times 4 equals 8 and add 3 which equals 11.

Answer:

Mean: 123

Median: 28

Mode: 23

Step-by-step explanation:

give brainliest

Answer:

Mean = 123, Median = 28 , Mode = 23

Step-by-step explanation:

Mean is the average of all the numbers.

Mean = \(\frac{3+721+23+63+27+29+95+23}{8} \\= \frac{984}{8} \\= 123\)

Median is the middle most value of the numbers when arranged in ascending order. (Average of the 2 middlemost numbers if there are even number of values.)

Arranged Values: 3,23,23,27,29,63,95,721

Median = \(\frac{27+29}{2} \\= \frac{56}{2} \\= 28\)

Mode is the value that occurs the most in the numbers.

Mode =  23

Answer: D; 4 into 3

Step-by-step explanation: Ratios are a number "to" another number or a number over another number or the numbers are separated by a colon

Answer:

4 into 3 is not a ratio.

Step-by-step explanation:

If the example is 2 purple crayons to 6 red crayons you could put it as 2/6, 2:6 or 2 to 6.

4 into 3 is not a valid way to represent a ratio.

Hope this helps!

Answer:

aheje

Step-by-step explanation:

(5,3)

(2)

and

(-4,0)

(4-)