i am xyears old and my brother is 3years older .how old was my brother last year.​

Answer:

A  a.  25 minutes

Step-by-step explanation:

Let x = time in minutes.

Aquarium I contains y water at time x.

y = 4.6 + 1.2x

Aquarium II contains y water at time x,

y = 54.6 - 0.8x

We want the amounts of water to be equal, so we set the right parts of the equations equal and solve for x, the time in minutes.

4.6 + 1.2x = 54.6 - 0.8x

Subtract 4.6 from both sides.

Add 0.8x to both sides.

2x = 50

Divide both sides by 2.

x = 25

Answer:

i think its 1/16

Step-by-step explanation:

To determine which pair of events are independent, we need to check if the probability of their intersection is equal to the product of their individual probabilities. If the two probabilities are equal, the events are independent; otherwise, they are dependent.

Using the probabilities given, we can calculate the probabilities of the individual events:

P(a) = 0.4

P(b) = 0.3

P(c) = 0.2

P(d) = 0.1

We can also calculate the probabilities of the intersections of the events:

P(a ∩ b) = 0.1

P(a ∩ c) = 0.1

P(a ∩ d) = 0.1

P(b ∩ c) = 0.05

P(b ∩ d) = 0.05

P(c ∩ d) = 0.01

Now, we can check the pairs of events for independence:

1. Events a and b:

P(a) * P(b) = 0.4 * 0.3 = 0.12

P(a ∩ b) = 0.1

Since P(a ∩ b) is not equal to P(a) * P(b), events a and b are dependent.

2. Events a and c:

P(a) * P(c) = 0.4 * 0.2 = 0.08

P(a ∩ c) = 0.1

Since P(a ∩ c) is greater than P(a) * P(c), events a and c are dependent.

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3. Events a and d:

P(a) * P(d) = 0.4 * 0.1 = 0.04

P(a ∩ d) = 0.1

Since P(a ∩ d) is greater than P(a) * P(d), events a and d are dependent.

4. Events b and c:

P(b) * P(c) = 0.3 * 0.2 = 0.06

P(b ∩ c) = 0.05

Since P(b ∩ c) is not equal to P(b) * P(c), events b and c are dependent.

5. Events b and d:

P(b) * P(d) = 0.3 * 0.1 = 0.03

P(b ∩ d) = 0.05

Since P(b ∩ d) is not equal to P(b) * P(d), events b and d are dependent.

6. Events c and d:

P(c) * P(d) = 0.2 * 0.1 = 0.02

P(c ∩ d) = 0.01

Since P(c ∩ d) is not equal to P(c) * P(d), events c and d are dependent.

Therefore, none of the pairs of events are independent.

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Answer:

cream

Step-by-step explanation:

Stephen Dubner and Steven Levitt are the authors of the essay, and as they develop their essay, they use a great deal of quantification.

The following are three specific examples that they used: They write, "If a martini is made with 4 ounces of gin, that’s 2.8 standard drinks. "They also said, "Let's consider the five most unsafe hours for driving, which are Saturday and Sunday mornings from 1 am to 6 am. In the middle of this time period, 3 am on Saturday morning, the likelihood of an accident is three times higher than at noon on a weekday. "In another instance, they note that "The average person who has been murdered has approximately 300 friends and relatives, which means that a homicide victim’s personal network is quite extensive. "The authors use these specific numbers to make their argument more convincing. Using quantification provides an air of authority to the author's claims. By providing specifics, the author can communicate more information than would otherwise be possible.

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The unit normal vector of the function f(x,y)=x^3 at point P(5,3,125) is ⟨1, 0, 0⟩.

To find a unit normal vector at point P(5,3,125) for the function f(x,y) = x^3, we need to find the gradient vector of f and normalize it to obtain a unit vector.

The gradient of f is given by

∇f = ⟨∂f/∂x, ∂f/∂y, ∂f/∂z⟩ = ⟨3x^2, 0, 0⟩

At point P(5,3,125), the gradient vector is

∇f(P) = ⟨75, 0, 0⟩

To obtain a unit normal vector, we need to normalize ∇f(P) by dividing it by its magnitude

||∇f(P)|| = √(75^2 + 0^2 + 0^2) = 75

So the unit normal vector at point P is

n = ∇f(P) / ||∇f(P)|| = ⟨75/75, 0/75, 0/75⟩ = ⟨1, 0, 0⟩

Therefore, the unit normal vector for the function at the point P is ⟨1, 0, 0⟩.

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Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The weighted mean cost of a haircut for Malachi is $15.67, divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.

We must compute the total cost of all haircuts and divide it by the total number of haircuts in order to determine the weighted mean price of a haircut for Malachi. The expense of each haircut must be weighed according to the frequency with which it occurred, though, because they varied in price.

To begin, let's figure out how much each haircut will cost overall:

2 haircuts at $12.00 each = $24.00

3 haircuts at $15.00 each = $45.00

1 haircut at $25.00 = $25.00

Total cost = $24.00 + $45.00 + $25.00 = $94.00

Next, We must determine the total number of cuts:

2 haircuts + 3 haircuts + 1 haircut = 6 haircuts

Finally, The weighted mean cost of a haircut can be determined by dividing the total cost by the total number of haircuts:

The weighted mean cost of a haircut = Total cost / Total number of haircuts

= $94.00 / 6 haircuts

= $15.67 per haircut (rounded to the nearest cent)

Therefore, Malachi's weighted mean haircut expense is $ 15.67 , divided by the total number of haircuts, which comes to 6, to yield a total cost of $94.00.

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Answer:

The answer is x=4

Step-by-step explanation:

The domain of the function that models Salvatore's price scale is;  {x 0 < x < 8}.

The domain of a graph is defined as the set of possible input values of a function.

Now, we are told that he charges $100  for all work that is completed in less than 2 hours and also that he charges $400 for work that takes between 5 and 8 hours.

This means that the number of hours will be less than 2 but cannot be zero but it is less than or equal to 8

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Answer:

2.8 liters

She drank 2.8 liters all together.

Step-by-step explanation:

0.878+1.2+0.75= 2.8

Nicky drank a total of 2.828 liters of water throughout the day.

To find out how much water Nicky drank altogether, you can add up the amounts of water she drank throughout the day.

0.878 liters after breakfast.

1.2 liters after lunch.

0.75 liters before dinner

Adding these values together:

0.878 + 1.2 + 0.75 = 2.828

Therefore, Nicky drank a total of 2.828 liters of water throughout the day.

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Answer:

P = 90 cm

Step-by-step explanation:

Let the sides of a triangle are 3x,5x and 7x.

The difference between the longest side and the shortest side is 24cm i.e.

7x-3x = 24

4x = 24

x = 6

Sides are :

3x = 3(6) = 18 cm

5x = 5(6) = 30 cm

7x = 7(6) = 42 cm

Perimeter = sum of  all sides

P = 18+30+42

P= 90 cm

Hence, the perimeter of the triangle is equal to 90 cm.

Answer:

combining 2x and 4x to make 6x

Step-by-step explanation:

Answer:

C is a function, D is not.

Step-by-step explanation:

A. In the alternate universe, the p subshell would have 5 orbitals.

B. In the alternate universe, the d subshell would have 10 orbitals.

In the alternate universe where the possible values of mℓ range from -l-1 to l+1, the number of orbitals in each subshell can be determined.

A. For the p subshell, the value of l is 1. Therefore, the range of mℓ would be -1, 0, and 1. Including the additional values of -2 and 2 from the alternate universe, the total number of orbitals in the p subshell would be 5 (mℓ = -2, -1, 0, 1, 2).

B. For the d subshell, the value of l is 2. In the conventional universe, the range of mℓ would be -2, -1, 0, 1, and 2, resulting in 5 orbitals. However, in the alternate universe, the range would extend to -3 and 3. Including these additional values, the total number of orbitals in the d subshell would be 10 (mℓ = -3, -2, -1, 0, 1, 2, 3).

Therefore, in the alternate universe, the p subshell would have 5 orbitals, and the d subshell would have 10 orbitals.

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Answer:

77.5 degrees

Step-by-step explanation:

sin(90)/42=sin(?)/41

sin(90)/42 times 41=0.9761904

sin^-1(0.9761904)=77.47209456 degrees

The correct answer is (d), i.e., the correct hypotheses are as follows:

\(H_o: p_1 = p_2= p_3\)

against

\(H_1:\) At least one of the proportions is different from the others.

In hypothesis testing, the objective is to reject the null hypothesis that's why the null hypothesis is always set against the desired result.

In this problem, there are three categories given, each having its individual proportions: \(p_1\), \(p_2\), and \(p_3\) .

The null hypothesis is that all proportions are equal, i.e.,

\(H_o: p_1 = p_2= p_3\)

and the alternative hypothesis is that at least any one of the proportions is not equal to the others, i.e.,

\(H_1:\) At least one of the proportions is different from the others.

Thus, option (d) is correct.

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The complete question is as follows:

The following table contains the number of successors and failures for three categories of a variable. Test whether the proportions are equal for each category at the α= 0.1 level of significance.

             Category 1 Category 2 Category 3

Failures       64              48             68

Successes   78              55             84

1) State the hypotheses. Choose the correct answer below:

a) H0: μ1 = E1 and μ2 = E2 and μ3 = E3

H1: At least one mean is different from what is expected.

b) H0: The categories of the variable and success and failure are independent.

H1: The categories of the variable and success and failure are dependent.

c) H0: The categories of the variable and success and failure are dependent.

H1: The categories of the variable and success and failure are independent.

d) H0: p1 = p2 = p3

H1: At least one of the proportions is different from the others.

Answer:

m<E=22

Step-by-step explanation:

m<B and m<D are congruent therefore, m<D=68

m<C and m<E are congruent.

All interior angles if a rhombus adds up to 180 degrees.

So... 68+68=136

Subtract the 136 from 180

180-136=44

Because m<C and m<E are congruent divide 44 by two

44/2= 22

m<C and m<E equal 22

Keyboard instruments like the organ are unique due to their unique characteristics and unique sound production methods. They produce sound through air passing through pipes, making them challenging to classify within traditional Western instrument families.

Keyboard instruments like the organ are not easily classified within any of the four Western instrument families because they have unique characteristics that make them distinct. The four main Western instrument families are strings, woodwinds, brass, and percussion. However, keyboard instruments like the organ do not fit neatly into any of these categories.

The reason for this is that keyboard instruments produce sound by pressing keys that activate mechanisms to generate sound vibrations. The organ, for example, produces sound through the use of air passing through pipes when keys are pressed. This mechanism is different from the way strings, woodwinds, brass, and percussion instruments produce sound.

Furthermore, keyboard instruments like the organ can produce a wide range of sounds and can be used to play different types of music. This versatility makes them unique and challenging to classify within the traditional Western instrument families.

In summary, keyboard instruments like the organ are not easily classified within the four Western instrument families because they have distinct characteristics and produce sound in a different way.

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Answer:

y = 2x - 4

Step-by-step explanation:

Can I ask which variable you are solving?

PS I will assume you need the formula y=mx+b

-2x + y = - 4

Here you would translate the m and x variables to the right side making them positive.

y = 2x - 4

Now the formula is in proper form

Hey :)

If you are solving for x, the answer is: x = y/2 + 2

-2x + y = -4

Subtract y from both sides

−2x = −4 − y

The equation is in standard form:

−2x = − y −4

Divide both sides by −2:

-2x/-2 = -y - 4/-2

Dividing by −2 undoes the multiplication by −2

x = -y -4/-2

Divide −4 −y by −2

x = y/2 + 2

However, if you are solving for y, the answer is: y = −4 + 2x

−2x + y = −4

Add 2x to both sides:

y = −4 + 2x

Hope this helps!

Answer:

2.5

Step-by-step explanation:

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

PB is a tangent and m(arc VU)= 80°, m(arc ST) = 40°

By theorem of angle between intersecting secants,

"If two secants have been drawn to a circle from a point outside the circle, then the angle between the secants will measure the half of the difference of the intercepted arcs."

\((m\angle 1)=\frac{1}{2}(m\widehat{VU}-m\widehat{ST})\)

          \(=\frac{1}{2}(80-40)\)

          = 20°

Therefore, Option (2) will be the answer.

The perfect square trinomial has a repeated factor, while the difference of squares does not. 1a. x^2 + 4x + 4, 1b. (x+2)^2, 2a. 16y^2 - 9, and 2b. (4y+3)(4y-3)

1a. To create a perfect square trinomial, you need to square a binomial. For example, (x+2)^2 can be simplified to x^2 + 4x + 4, which is a perfect square trinomial.
1b. To factor the perfect square trinomial created in 1a, you can simply take the square root of the first and last terms and use the middle term coefficient to form the binomial. For example, (x+2)^2 can be factored as (x+2)(x+2), or (x+2)^2.
2a. To create a difference between two squares, you need to subtract the square of one term from the square of another term. For example, 16y^2 - 9 can be simplified to (4y)^2 - 3^2, which is a difference of two squares.
2b. To factor the difference of two squares created in 2a, you can use the formula (a+b)(a-b), where a is the square root of the first term and b is the square root of the second term. For example, (4y)^2 - 3^2 can be factored as (4y+3)(4y-3).
3a. Both the perfect square trinomial and the difference of squares have the property of being able to be factored into two binomials.
3b. The main difference between the perfect square trinomial and the difference of squares is the form in which they are written. The perfect square trinomial has three terms, while the difference of squares has two terms. Additionally, the perfect square trinomial has a repeated factor, while the difference of squares does not.

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The derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) is \($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\).

The derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) can be found using the chain rule and the derivative properties of trigonometric and exponential functions.

To find the derivative of the given function, we apply the chain rule. Let's break down the function into its constituent parts and find their derivatives separately.

The outer function is \($g(t) = \cos^2(u)$\), where \($u = e^{\cos^2(t)}$\).

The derivative of g(t) can be found using the chain rule and the derivative of the cosine function:

\($\frac{d}{dt} g(t) = -2\cos(u) \sin(u) \cdot \frac{du}{dt}$\)

Now, we need to find the derivative of u with respect to t.

Let \($v = \cos^2(t)$\)

Then, \($u = e^v$\), and the derivative of u with respect to t is

\($\frac{du}{dt} = \frac{dv}{dt} \cdot e^v$\)

To find \($\frac{dv}{dt}$\), we differentiate \($v = \cos^2(t)$\) using the chain rule and the derivative of the cosine function:

\($\frac{dv}{dt} = -2\cos(t) \sin(t)$\)

Putting it all together, we have

\($\frac{d}{dt} f(t) = \frac{d}{dt} g(t) \cdot \frac{du}{dt} = -2\cos(u) \sin(u) \cdot -2\cos(t) \sin(t) e^{\cos^2(t)}$\)

Simplifying further, we get

\($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\)

Therefore, the derivative of the function \($f(t) = \cos^2(e^{\cos^2(t)})$\) is \($\frac{d}{dt} f(t) = -2\cos(e^{\cos^2(t)}) \sin(e^{\cos^2(t)}) \cdot 2\cos(t) \sin(t) e^{\cos^2(t)}$\).

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Answer: The slope is undefined.

Step-by-step explanation:

The slope of a line is (y2-y1)/(x2-x1) given two points (x1,y1) and (x2,y2).

We can plug in the coordinates given.

= (-3-2)/(-1-(-1))

= -5/0

That value is undefined beacuse you cannot divide a value by 0.

Answer:

The answer is "no".

Step-by-step explanation:

Please find the image file of the question in the attachment.

In the given question, it will take approximately 2-3 min to climb 1 step taller. It's an estimate of 7.92 hours, if you split 950 to 2, it is the period it would take you to go out in minutes when we turn 475 mins into minutes. As we see it will take them an extra 92 mins for 950 feet to ascend. They can achieve it by ascending this at an average rate of 135.7 ft/h.

Answer:

No, the amount of minutes to climb up 1 foot of the height would be around 2-3 minutes. If you divide 950 with 2, you get 475 which would estimate to 7.92 hours. So as we see they would need an extra 55.2 minutes to climb the full 950 feet.

I hope this helps y'all ;p

Answer:

b decreasing its korrect now

Answer:

Figure ABCD was formed by first translating figure ABCD \(\boxed{5}\)  units left and \(\boxed{4}\) units down, and then reflecting across the \(\boxed{\textrm{x}}\) -axis

Step-by-step explanation:

To determine the translated units take any point in the pre-image ABCD and see the relative position of the corresponding point in the translated image A'B'C'D'

All other points and hence the entire pre-image will be translated by the same amount

So the answer is 5 units left, 4 units down and reflected across the x-axis