please help me please i really need help please

Answer:

  11.82 mph

Step-by-step explanation:

The angle between the direction of travel and the direction to the city of Hartville is ...

  arctan(180/49) ≈ 74.77°

The speed from the direction of Hartville is the the actual speed multiplied by the cosine of this angle:

  speed from Hartville = (45 mph)×cos(74.77°) ≈ 11.82 mph

_____

Comment on the solution

There are other approaches you can use to solve this. One is to compute the  change in distance over a small period of time, such as 0.02 hours.

0.01 hours before the time of interest, the distance to the city is ...

  d1 = √(180² +(49-.01(45))²) ≈ 186.4326 . . . miles

0.01 hours after the time of interest, the distance to the city is ...

  d2 = √(180² +(49+.01(45))²) ≈ 186.6690 . . . miles

Then the rate of change of distance is ...

  (d2 -d1)/(t2 -t1) = (186.6690 -186.4326)/0.02 = 11.82 . . . mi/h

__

Another is to write the distance equation and differentiate it. (You will find the solution looks very much like the trig solution above.)

  d = √(180² +(45t)²)

  dd/dt = 45²t/√(180² +(45t)²) . . . . . to be evaluated at t=49/45

  rate of change = 45(49/√(180²+49²)) ≈ 11.82 . . . mi/h

Some things you can do to help you decide on a bank include:

When trying to locate a bank that offers competitive returns on savings and favorable borrowing costs, consider comparing interest rates.

To gather additional information about certain banks, why not solicit feedback from acquaintances? People who have personal experience with a particular bank can provide valuable insights into their satisfaction levels with regards to customer service, for example.

Finally, taking the time to visit branch offices can offer valuable clues regarding convenience level and overall atmosphere.

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The given Mayan number which is : :|| :|| in decimal (base 10) is 42.

The Mayan number system is a base-20 system that uses three symbols: a dot (.), a horizontal bar (|), and a shell-like symbol (:). The symbol for zero is a shell-like symbol (:).

To convert the given Mayan number to decimal (base 10), we need to understand the positional value of each symbol. Each position in the number represents a power of 20, with the rightmost position being 20⁰, the next position to the left being 20¹, and so on.

The Mayan number given, : :|| :||, can be broken down as follows:

The leftmost position has no symbol, which represents a value of 0.

The second position from the left has two shell-like symbols (:), which represents a value of 2x20¹ = 40.

The third position from the left has two horizontal bars (||), which represents a value of 2x20⁰ = 2.

The given Mayan number in decimal (base 10) is 40 + 2 = 42.

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Complete question is:

Convert the following Mayan number to decimal (base 10).

: :|| :||

Answer:

3 1/8

Step-by-step explanation:

Pls give brainliest

The situations that have a net result of zero are:

The first situation results in a debt of $3 and then payment of $3, which cancels out the debt.

The second situation involves combining three atoms with a total charge of zero (2 atoms with a charge of negative 2, and 1 atom with a charge of positive 4).

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       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

             {4,  6}

      C) -  The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

MAKE A PLAN:

List The OUTCOMES for EACH EVENT and their COMBINATIONS:

        a) -  EVENT  "A":  {2, 4, 6, 8}

               EVENT "B":   {3, 4, 5, 6}

               EVENT "A" or "B": {2, 3, 4, 5, 6, 8}

        b) - EVENT "A"  or "B":  {4, 6}

        c) -  The COMPLEMENT of the EVENT "A":  {1, 3, 5, 7}

       A) -  Event  "A  or  B"  Consists  of  the Outcomes:

               {2, 3, 4, 5, 6, 8}

      B) - Event  "A  or  "B"  Consists  of the Outcomes:

            {4,  6}

      C) - The "COMPLEMENT  of EVENT  "A"  Consists of the Outcomes:

             {1, 3, 5, 7}

I hope this helps!

Answer:

y = 21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

y = -4x + 9

x = -3

Step 2: Evaluate

Answer:

3x^2 - 10x - y

Step-by-step explanation:

2x - 8y + 3x^2 +7y -12x

can not combine unlike terms so 3x^2 stays alone

2x - 12x = -10 x

-8y +7y = -y

3x^2 - 10x - y

Answer:

5 3/4 hrs

Step-by-step explanation:

distance ÷ speed = time

276 ÷ 48 = 5.75

Answer:

Width: 22.53 in.

Length: 28.35 in.

Step-by-step explanation:

If the perimeter is 101.76 in, we can create an equation of 2l + 2w = 101.76 in (length is l, and width is w). We also have that the rectangular painting is 5.82 in taller than it is wide. We can create a new equation stating that l = w + 5.82. We can now substitute l for w + 5.82 into our original equation, 2l + 2w = 101.76, and we get 2(w + 5.82) + 2w = 101.76. Now simplify and get 4w + 11.64 = 101.76. Simplifying this the whole way, we get w = 22.53. Now plug this value of w back into the equation, l = w + 5.82, and we get l = 22.53 + 5.82 = 28.35. We now have width: 22.53 in. and length: 28.35 in.

Answer:

slope = - \(\frac{1}{3}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given the equation of the line is

y = - \(\frac{1}{3}\) x + 3 ← in slope- intercept form

with slope m = - \(\frac{1}{3}\)

Answer:

b = 3.5 cm

Step-by-step explanation:

Given that,

The area of a rectangle, A = 14. sq cm

The length of one side, l = 4 cm

We need to find the length of another side. The formula for the area of a rectangle is given by :

A = lb

So,

\(14=4b\\\\b=\dfrac{14}{4}\\\\b=3.5\ cm\)

So, the length of the other side is equal to 3.5 cm.

Answer: 15/17

Step-by-step explanation:

See attached image.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

Question 1

This is a special triangle as the angles are 30-60-90

This means that the sides have a special ratio of
1 : √3 : 2 = short leg : long leg : hypotenuse

So the hypotenuse is twice the length of the short leg,
and the long leg is √3 times the length of the short leg.

Given:

⇒ x = 30 ÷ 2 = 15

⇒ y = 15 × √3 = 15√3

Question 2

The sum of the interior angles of a triangle is 180°.  Therefore the unknown angle of the triangle is 60°.

So again, this is a special 30-60-90 triangle, and we can use the same method as question 1 above.

Given:

⇒ x = 5 × √3 = 5√3

⇒ y = 5 × 2 = 10

Question 3

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

To find x:

Given:

⇒ 8² + 6² = x²

⇒ x² = 100

⇒ x = √100

⇒ x = 10

To find y:

Given:

⇒ 5² + 10² = y²

⇒ y² = 125

⇒ y = √125

⇒ y = 5√5

Question 4

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

To find x:

Given:

⇒ 5² + 12² = x²

⇒ x² = 169

⇒ x = √169

⇒ x = 13

To find y:

Given:

⇒ y² + 13² = 14²

⇒ y² + 169 = 196

⇒ y² = 27

⇒ y = √27

⇒ y = 3√3

Considerando la definición de número complejo, su opuesto, conjugado y afijo, siendo z= -2-2i, se obtiene:

Los números complejos son combinaciones de números reales y números imaginarios. Su representación más común es la suma de una parte real y una parte imaginaria. Al mismo tiempo, la parte imaginaria se divide entre la parte imaginaria y la unidad imaginaria.

Esto es: z= a +bi

donde:

Dado un número complejo z = a+bi, se llama opuesto de z al número -z = -a-bi.

Esto es, el opuesto de un número complejo se calcula cambiando el signo de la parte real y de la parte imaginaria.

Dado un número complejo z = a+bi, se llama conjugado de z al número z = a-bi.

Esto es, el conjugado de un número complejo se obtiene al cambiar el signo de la parte imaginaria.

Los números complejos se representan mediante vectores. Al extremo del vector se le llama afijo del complejo. Esto es, el afijo del número complejo z=a +bi es (a,b)

Considerando las correspondientes definiciones:

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Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

No solution. This is because they do not cross.

The coordinate of point W should be -4 or point C such that the ratio of AW to WF is 1:3

Given data

ratio 1:3

the ratio implies every unit WF is equal to 3 x AW.

hence every unit of AW multiplied by 3 gives WF

using equivalent of fractions in the comparison as follows

1 : 3 = 2 : 6 = 3 : 9

comparing  3 : 9 gives

For point A

Point A = - 7

point A + 3 = -7 + 3 = - 4 = point C

For point F

point F = 5

point F - 9 = 5 - 9 = - 4 = point C

\(\frac{AW}{WF} = \frac{|+3|}{|-9|} = \frac{AC}{FC}\)

Hence the coordinate of point W should be -4 or point C such that the ratio of AW to WF is equal to 1:3

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Answer:

there are 63360 inches in 1 mile. if you divide 2 into 63360 and add that with it, that should give you the accurate answer

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

The value of x in the diagram given 42°

Using angle theorems, the angles are opposite and the reflex angles can be calculated thus :

Recall :

Sum of reflex angles is 360°

(x + x + (3x+12) + (3x + 12) ) = 360°

2x + 6x + 24 = 360

8x = 360 - 24

8x = 336

x = 336/8

x = 42°

Hence, the value of x is 42°

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Answer:

2x+1=4x-19

20=2x

x=10

Answer:

HOPE THIS ANSWER HELPS YOU......

MARK ME AS BRAINLIEST

☽------------❀-------------☾

Hi there!

~

This question struck a chord with me as a highscooler. I never refer to the symbol x as an operator for multiplication because it too closely resembles a variable x. I only use a dot while indicating multiplication of two real numbers. Once students reach Algebra, the need for that is also limited.As far as the history goes, here's what I found: “Today elementary school students use the symbol × for multiplication. William Oughtred (1574-1660), a clergyman who gave free private lessons to pupils interested in mathematics, used the symbol × for multiplication. He also invented 150 other symbols. The × symbol was not readily accepted though. Gottfried Wilhelm Leibniz (1646-1716) thought it resembled the unknown x too much. Thomas Harriot (1560-1621) used the dot (·) for multiplication. This was not used much either until Leibniz adopted it.” It's no surprise that Leibniz was instrumental in the popularization of this notation, as much of the notation we use in Calculus was also developed by Leibniz. In short, there is no difference. Multiplication is a natural operation in mathematics and has just been symbolized in different people in different ways in different periods of time.

Hence they are both easy to use.

❀Hope this helped you!❀

☽------------❀-------------☾

Answer:

  687, 688, 689, 690, ...

Step-by-step explanation:

Each in a list of consecutive integers is 1 more than the previous number. Consecutive integers following 686 are ...

  687, 688, 689, 690, ...

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

\(\displaystyle \frac{cd^6}{a^4b^2}\)

Step-by-step explanation:

\(\displaystyle \frac{a^{-4}b^{-2}cd^6}{e^{-7}}\\\\=a^{-4}b^{-2}cd^6e^7\\\\=\frac{cd^6}{a^4b^2}\)

Notice that the variables with negative exponent that were originally in the denominator went to the numerator (like with \(e^{-7}\)) and became positive, and vice versa with those originally in the numerator went in the denominator (like with \(a^{-4}b^{-2}\)) and also became positive.

Step-by-step explanation:

a‐⁴b‐²cd⁶

_______

e‐⁷

cd⁶e⁷

_____

a⁴b²