Suppose an earthquake can be felt up to 76 miles from its epicenter. You are located at a point 65 miles west and 40 miles south of the epicenter. Do you feel the earthquake?

4÷16-31

0.25-31

-30.75

Step-by-step explanation:

there u go

Answer:

The third option

Step-by-step explanation:

The domain is saying x is greater than or equal to 2, so the third option fits that description.

Hopefully this helps!

Brainliest please?

It seems that this is very important os yes i am helping by giving you this

Answer:-3

Step-by-step explanation:

The minimum value of a function can be obtained from its derivative

The point on the x-axis that makes \(\overline{AC}\) + \(\overline{BC}\) minimum is the point \(\underline{(9, \, 0)}\)

Reason:

Let (d, 0) represent the coordinate of the point, on the x-axis, we have;

\(\overline{AC}\)² = (4 - d)² + (-5)²

\(\overline{AC}\) = √((4 - d)² + (-5)²)

\(\overline{BC}\)² = (12 - d)² + 3²

\(\overline{BC}\) = √((12 - d)² + 3²)

\(\overline{AC}\)² + \(\overline{BC}\)² = L =  4² + (-5 - d)² + 12² + (3 - d)²

When \(\overline{AC}\) + \(\overline{BC}\) is minimum, we have;

\(\lim_{n \to \infty} a_n \dfrac{d}{dd} (\overline{AC} + \overline{BC}) = \dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = 0\)

Which gives;

\(\dfrac{d}{dd} \left(\sqrt{ (4 - d)^2 + (-5)^2)} + \sqrt{ (12 - d)^2 + 3 ^2)} \right) = \dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8\cdot d + 41} }\)

Therefore;

\(\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } + \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} } = 0\)

\(\dfrac{2 \cdot d - 24}{2 \cdot \sqrt{d^2-24 \cdot d + 153} } =- \dfrac{2 \cdot d - 8}{2 \cdot \sqrt{d^2 - 8 \cdot d + 41} }\)

Squaring both sides and cross multiplying gives;

16·d² - 528·d + 3456 = 0

Which gives;

16·(d - 24)·(d - 9) = 0

Therefore, d = 24, and d = 9

The point (9, 0), is closer to the given points than the point (24, 0), therefore;

The point on the x-axis that makes \(\overline{AC}\) + \(\overline{BC}\) minimum is the point \(\underline{(9, \, 0)}\)

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Answer:

3 miles

Step-by-step explanation:

Answer:

3 miles.

Step-by-step explanation:

The radius is always half of the diameter.

The equation of a plane in vector form is r. (n * a) = d, where a is a point on the plane, n is the normal, r is the position vector, and d is the distance from the origin. The line passes through (0,-5,-4) and has a direction vector of d = (1,0,0).

Given:Point through which the line passes (0,−5,−4)Normal to the surface at (0,−5,−4)The equation of a plane in vector form is given byr. (n * a) = dwhere, a is a point on the plane, n is the normal to the plane, r is the position vector and d is the distance of the plane from the origin.For the given point and normal vector,n = (0,-1,0)and a = (0,-5,-4)respectively.

So, the plane equation can be written as

r.(0,-1,0) = - 5

So, the equation of the plane can be given by y = - 5 It is given that the line passes through the point (0,-5,-4) which is normal to the surface at (0,-5,-4).As the given normal vector is in y-direction, the line will be parallel to x-z plane and perpendicular to the y-axis.

So, the direction vector of the line can be given byd = (1,0,0)Now, as the line passes through (0,-5,-4), we can get the vector equation of the line as

r = a + td

where, t is the parameter.So, the vector equation of the line can be givend = (0,-5,-4) + t(1,0,0)Thus, the vector equation of the line through point (0,−5,−4) which is normal to the surface at (0,−5,−4) isr = (t, - 5, - 4) where t is any real number.

Note: In the given question, it was not mentioned about the surface. But it is given that the line is normal to the surface. So, the equation of the surface is taken as the plane equation.

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The correct sequence of transformations that could be applied to square M to map it to square P is  a reflection over the y-axis followed by a dilation by a factor greater than 1

Reflection over the y-axis reflects the square across the y-axis, effectively switching the positions of the points on the left and right sides of the square.

This is necessary because square M is positioned along the y-axis, while square P is positioned along the x-axis.

After reflecting the square over the y-axis, we need to scale it up to match the size of square P.

Since square P is positioned along the x-axis, which is a greater distance from the origin compared to the y-axis, a dilation by a factor greater than 1 is required to enlarge the square accordingly.

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A divisibility rule is a simple method for determining whether or not an integer is divisible by a fixed divisor without having to divide it by looking at its digits.

The three-digit divisibility rule asserts that if the sum of a whole number's digits is a multiple of three, the original number is also divisible by three.

The total of all the digits in 1377 is 1+3+7+7 = 18. Because 18 is divisible by three, 1377 is likewise divisible by three. The quotient is 1377 3 = 459, and the remainder is 0.

The divisibility rule of 9 asserts that if a number's sum of digits is divisible by 9, the number is divisible by 9 as well.

The three-digit divisibility rule and the nine-digit divisibility rule are quite similar. As previously stated, the divisibility rule for the divisibility test of 3 asserts that if a number's sum of all digits is divisible by 3, the number is also divisible by 3. The divisibility rule of 9 is similar to the divisibility rule of 3, in that a number is said to be divisible by 9 if the sum of all of its digits is divisible by 9.

Take 52884 for example. 52884 is divisible by three since the total of all digits is 5+2+8+8+4 = 27. The quotient is 52884 ÷ 3 = 17628, and the remainder is 0. It's worth noting that the sum of the digits is 27 is 2 + 7 = 9, which is likewise divisible by three.

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Answer:

a. 254.34, b. 56.52

Step-by-step explanation:

a. A = πr^2,

A = 3.14(9^2)

A = 3.14*81

A = 254.34

b. C = πd

C = 18*3.14

C = 56.52

Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

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SOLUTION

The dog costs $95. The discount is 50%. What is the total cost?

Step 1: We need to get the discount given for the cost of the dog.

50 % of $ 95 =

Step 2: To get the cost of the dog after the discount has been ma

Option B and option C are true when the blank is filled with the number 16.

What is an equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions written on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it contains no "equal to" symbol. It will be regarded as a phrase.

Given options are

A)  8(___ + 3) = 32 + 24

B)  8(2 + 9) = ___ + 72

C) 4(7 + 4) = 28 + ___

D) 8(5 + 6) = 40 + ___

Putting 16 in the blank space:

8(16 + 3) = 32 + 24

8×19 = 56

152 = 56 (False)

Putting 16 in the blank space:

8(2 + 9) = 16 + 72

8×11 = 88

88 = 88 (True)

Putting 16 in the blank space:

4(7 + 4) = 28 + 16

4×11 = 44

44 = 44 (True)

Putting 16 in the blank space:

8(5 + 6) = 40 + 16

8×11 = 56

88 = 56 (False)

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Reflecting over the y-axis and then translating to the right 10 units

Step-by-step explanation:

Reflection over the line x=5 gives you the transformation ...

 (x, y) ⇒ (2·5 -x, y) = (-x +10, y)

This is precisely the same transformation you get by reflection over the y-axis:

 (x, y) ⇒ (-x, y)

followed by translation to the right 10 units:

 (-x, y) ⇒ (-x +10, y)

__

Reflection over x=5 is the same as reflection over y and translation right 10.

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Trudy gave a speech focused on persuading a customer to purchase, which indicates a departure from the formal structure of speeches in Aristotle's day.

Trudy's speech, which emphasizes persuading a customer to make a purchase, suggests a more modern approach to speeches compared to Aristotle's time. Speeches in Aristotle's day often followed a more formal structure, encompassing various elements such as introduction, body, and conclusion, with an emphasis on informing, persuading, or entertaining the audience.

Option A states that speeches today only have one main idea in each. While it is common for modern speeches to focus on a central message or main idea, it does not necessarily address the historical context of speeches.

Option B suggests that today's speeches are more casual in length and purpose compared to Aristotle's day. This aligns with the idea that Trudy's speech deviates from the formal structure of traditional speeches. However, it does not provide a comprehensive understanding of the history of speeches.

Option C indicates that Trudy is trying to persuade, which Aristotle recognized as a primary purpose of speeches. This option acknowledges that persuasion has long been recognized as an essential aspect of speeches and suggests that Trudy understands this aspect.

Option D states that there were no sales presentations in Aristotle's day. While sales presentations as we know them today may not have existed during Aristotle's time, the concept of persuasion and influencing an audience through speeches certainly did.

Based on the given information, it is challenging to determine whether Trudy fully understands the history of speeches. While Trudy's speech exhibits a departure from the formal structure of Aristotle's day, it is unclear whether she has a comprehensive understanding of the historical context of speeches.

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Answer:

b  Php 300,000

Step-by-step explanation:

You need to find the perimeter length of the garden.  The perimeter is found by adding all four side of the rectangle.

Perimeter = 600 + 300 + 600 + 300 = 1800 m

Use a ration to find the cost for 1800m of fence.

500         X

------  =  ---------     cross multiply to solve for x

3m       1800m

3x = 500 x 1800

3x = 900,000

x = 300,000

Answer:

n =   -b                    a

        ⁻           +        ⁻

        13                  13

The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) is y = -6x + 37.

The equation of the tangent line to the circle x^2 + y^2 = 37 at the point (6,1) can be found by first finding the slope of the tangent line at that point and then using point-slope form to write the equation of the tangent line.

To find the slope of the tangent line at (6,1), we need to take the derivative of the circle equation with respect to x:

2x + 2y dy/dx = 0

Solving for dy/dx, we get:

dy/dx = -x/y

At the point (6,1), the slope of the tangent line is:

dy/dx = -(6)/(1) = -6

Now we can use point-slope form to write the equation of the tangent line:

y - y1 = m(x - x1)

where (x1,y1) is the point (6,1) and m is the slope we just found.

Substituting the values, we get:

y - 1 = -6(x - 6)

Simplifying the equation, we get:

y = -6x + 37

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Answer:

Correct answer is a. 2x + 3 y = 9.

Step-by-step explanation:

Let the coordinates of centroid be (h,k)

{h/3 , (-2+k)/3}

h = (2 – 2 + a)/3 = a/3 ---eqn 1

k= ( - 3+ 1 + b )/3 = (-2 + b)/3 -----eqn 2

Where (x,y) are any point on the line 2x+3y=1

3h = a and 3k + 2 = b

From 2x +3y = 1,

Then, 2h +3k = 1, 3k = 1 - 2h -----eqn 3

b = 1 - 2h + 2 = 3 - 2h

also b = 3 - 2a/3

b = (9 -2a)/3

3b = 9 - 2a

3b + 2a = 9

Now (x,y) satisfy the point on the line 2x+3y=9

So the locus is 2x + 3 y = 9.

Answer:

r(180°,0) is a rotation of 180° degrees over the origin.

Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).

Then this is equivalent to:

A reflection over the x-axis followed by a reflection over the y-axis.

Or.

A reflection over the y-axis followed by a reflection over the x-axis.

There is another possible reflection, but it depends on where is our figure.

If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.

If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.

We can combine those two and write:

A reflection over the line y = (-1)^n*x.

Where n is the number associated with the quadrant where the figure is in.

The probability that the family will have three children of the same gender is 1/4 or 25%.

To calculate the probability of having three children of the same gender, we can consider the possible outcomes for each child's gender.

Since the probability of having a boy or a girl is equal (assuming a 50% chance for each), we have two possible outcomes for each child: boy (B) or girl (G).

The total number of possible outcomes for the three children is 2 * 2 * 2 = 8, as each child has two possible genders.

Now, let's calculate the number of favorable outcomes where all three children have the same gender.

If they have all boys (BBB), there is only one favorable outcome.

If they have all girls (GGG), there is also only one favorable outcome.

Therefore, the total number of favorable outcomes is 1 + 1 = 2.

The probability of having three children of the same gender is then 2 favorable outcomes out of 8 possible outcomes, which can be expressed as 2/8 or simplified to 1/4.

So, the probability that the family will have three children of the same gender is 1/4 or 25%.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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Answer:

I believe that no, it is not a rectangle because we don't know if the other 2 sides equal each other. In a rectangle 2 sets of sides are equal so no. it is not a rectangle.

thanks for coming to my ted talk

Step-by-step explanation:

Answer:

Hello!!

If a water bottle contains 500mL of water and your goal is to drink 4L of water each day then the water bottle is \(\frac{1}{8}\) of your daily goal.

Step-by-step explanation:

500mL = 0.5L

1000mL = 1L

1500mL = 1.5L

2000mL = 2L

2500mL = 2.5L

3000mL = 3L

3500mL = 3.5L

4000mL = 4L

Hope this helps!!

Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

Answer:

$3 for every pound....

Answer:it would be b $3.00 for every pound

explanation:A unit price is something for each not multiple

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Fixed costs= 4,000 + 10,000= $14,000

Unitary variable cost= $5.5

Selling price= $7.2

To calculate the number of units to be sold to break-even, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 14,000 / (7.2 - 5.5)

Break-even point in units= 8,235 units

In dollars:

Break-even point (dollars)= fixed costs/ contribution margin ratio

Break-even point (dollars)= 14,000 / (1.7/7.2)

Break-even point (dollars)= $59,294

Now, imagine the company requires a profit of $50,000:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= 64,000/1.7

Break-even point in units= 37,647 units

Break-even point (dollars)= (fixed costs + desired profit) / contribution margin ratio

Break-even point (dollars)= 64,000 / (1.7/7.2)

Break-even point (dollars)= $271,059

The inequality √17 > 239/58 correctly compares one rational number and one irrational number.

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

As per option (A),

4π/3 and √17

The values of the above number are 4.1887 and 4.1231

Thus, 4π/3 < √17

So, given inequality 4π/3 > √17 is not true.

As per option (B),

4.\(\bar{19}\) and 239/58

The values of the above number are 4.1919 and 4.1206

Thus, 4.\(\bar{19}\) < 239/58

So, given inequality 4.\(\bar{19}\) > 239/58 is not true.

As per option (C),

√17 and 239/58

The values of the above number are 4.1231 and 4.1206

Thus, √17 > 239/58

This inequality is true.

Therefore, the inequality √17 > 239/58 correctly compares one rational number and one irrational number.

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