Explica con tus palabras un procedimiento a seguir para despejar la velocidad inicial
v. de la fórmula de aceleración a = Vo-V.

Answer: M= -5

Step-by-step explanation: -5x+12

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

y = 12 - 5x

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

After 5 hours the pool filled with 230 gallons

Let's suppose that after x hours the pool will fill with 920 gallons

After x hours the pool filled with 920 gallons.

As the water input contained at a constant rate

So the value of x can be evaluated:

\(\rm x = \frac{920\times5}{230}\)

x = 20 hours

Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

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Answer:

y=1/2x

Step-by-step explanation:

It looks like it

The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

Given that,

He makes paths that follow Line segments A and B, X and Y, and Z and Y through the garden.

We have to find which accurately compares the pathways' lengths.

We know that,

The length of the third side in a triangle is proportional to the angle Ф  if the lengths of the two sides that make up the angle Ф are fixed.

XY > YZ because XY's opposing angle (79°) is greater than YZ's (65°).

As before, YZ > AB because the opposing angle of YZ (65°) is greater than that of AB (36°).

Since both sides of the angle are the same length (8 feet),

As a result, assertion A. is accurate. (Answer)

Therefore, The journey along Line segment X Y is longer than the path along Line segment Z Y, and the path along Line segment Z Y is longer than the path along Line segment A B, hence Option-A is the correct answer.

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Answer:

It's A

Step-by-step explanation:

I got 100 on the quiz

The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.

To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).

Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result

Probability = 5 / 28

Simplifying this fraction, we get:

Probability ≈ 0.1786

Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.

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Answer:

The answer is x>17

Step-by-step explanation:

First subtract 4x from both sides

6x - 8 > 4x + 26

-4x. -4x

2x - 8 > 26

8 is negative so to get rid of it add 8 to -8 and 26

2x - 8 > 26

+8. +8

2x > 34

x needs to be by itself so divide both sides by 2

2x > 34

2. 2

x > 17

Answer:

???

Step-by-step explanation:

Y is the up and down value and X is the left and right value, So for mary's ride in part A it took them 4 minutes to go .2 miles and it took Kim 4 minutes to go .3 miles

Answer:

2/5

Step-by-step explanation:

Use the distance formula to determine the distance between two points.

Answer:

The distance is

3√10  or about 9.49 (rounded to nearest hundredth's place).

Step-by-step explanation:

The distance is

3

√

10

or about

9.49

(rounded to nearest hundredth's place).

Explanation:

The formula for the distance for 3-dimensional coordinates is similar or 2-dimensional; it is:

d

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

+

(

z

2

−

z

1

)

2

We have the two coordinates, so we can plug in the values for

x

,

y

, and

z

:

d

=

√

(

−

2

−

1

)

2

+

(

−

3

−

(

−

3

)

)

2

+

(

4

−

(

−

5

)

)

2

(I wasn't sure if the

3

−

meant

3

or

−

3

, so I assumed it was

−

3

)

Now we simplify:

d

=

√

(

−

3

)

2

+

(

0

)

2

+

(

9

)

2

d

=

√

9

+

0

+

81

d=√90

d=3√10

If you want to leave it in exact form, you can leave the distance as

3√10

. However, if you want the decimal answer, here it is rounded to the nearest hundredth's place:

d≈9.49

Hope this helps!

Answer:

the answer is F

Step-by-step explanation:

beacuse I hope I helped :)

The statement "The normal force is equal to the perpendicular component of the object's weight, which decreases as the angle of inclination increases" is true.

As the angle of inclination increases, the object's weight can be divided into two components: one perpendicular to the inclined surface (the normal force) and one parallel to it. As the angle increases, the perpendicular component (normal force) decreases, while the parallel component increases.

So to directly answer your question, the normal force is never equal to the weight of the object on an inclined plane (unless you count the limiting case of level ground). It is equal to the weight of the object times the cosine of the angle the inclined plane makes with the horizontal.

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Answer:

Convergent

Step-by-step explanation:

One method to determine if  \(\displaystyle \sum^\infty_{k=1}ke^{-k^2}\)is convergent or divergent is the Integral Test.

Suppose that the function we use is \(f(x)=xe^{-x^2}\). Over the interval \([1,\infty)\), the function is always positive and continuous, but we also need to make sure it is decreasing before we can proceed with the Integral Test.

The derivative of this function is \(f'(x) = e^{-x^2}(1-2x^2)\), so our critical points will be \(\displaystyle x=\pm\frac{1}{\sqrt{2}}\), but we can drop the negative critical point as we are starting at \(k=1\). Using some test points, we can see that the function increases on the interval \(\bigr[0,\frac{1}{\sqrt{2}}\bigr]\) and decreases on the interval \(\bigr[\frac{1}{\sqrt{2}},\infty\bigr)\). Since the function will eventually decrease, we can go ahead with the Integral Test:

\(\displaystyle \int_{{\,1}}^{{\,\infty }}{{x{{{e}}^{ - {x^2}}}\,dx}} & = \mathop {\lim }\limits_{t \to \infty } \int_{{\,1}}^{{\,t}}{{x{{{e}}^{ - {x^2}}}\,dx}}\hspace{0.5in}u = - {x^2}\\ & = \mathop {\lim }\limits_{t \to \infty } \left. {\left( { - \frac{1}{2}{{{e}}^{ - {x^2}}}} \right)} \right|_1^t\\ & = \mathop {\lim }\limits_{t \to \infty } \left( {-\frac{1}{2}{{e}}^{ - {t^2}}-\biggr(-\frac{1}{2e}\biggr)}} \right) = \frac{1}{2e}\)

Therefore, since the integral is convergent, the series must also be convergent by the Integral Test.

Answer:

where's the triangle. I can try and help

Answer :-

Since here, no parameters are given to calculate the perimeter, we use the formula to state the perimeter of the triangle :-

Perimeter of a triangle is given as :-

P = a+b+c

where, a, b and c are the measurement of the sides of the triangle.

Answer:

y = 3x + 4

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 )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, - 5 ) and (x₂, y₂ ) = (0, 4 )

m = \(\frac{4-(-5)}{0-(-3)}\) = \(\frac{4+5}{0+3}\) = \(\frac{9}{3}\) = 3

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = 3x + 4 ← equation of line

Answer:

First of all. On that page, theres 5 sisters. Gabby is included. so not 4, 5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Reasonable Domain:

Reasonable Range:

Discrete or continuous?

Answer:

6) x = 3, y = -1 or (3, -1)

8) x = -1, y = ½ or (-1, ½)

Step-by-step explanation:

I will only demonstrate problems 6 and 8 since the process of solving for the solution is practically similar for problems 6 and 7.

Given the following systems of linear equations with two variables:

\(\displaystyle\mathsf{\left \{{{Equation\:1:\:x\:+\:y=2} \atop {Equation\:2:\:2x\:-\:y=7}} \right. }\)

First, isolate y from Equation 1:

x + y = 2

x - x + y = -x + 2

y = -x + 2

Substitute the value of y in the previous step into Equation 2:

2x - (-x + 2) = 7

2x + x - 2 = 7

3x - 2 = 7

Add 2 to both sides:

3x - 2 + 2 = 7 + 2

3x = 9

Divide both sides by 3 to solve for x:

\(\displaystyle\mathsf{\frac{3x}{3}\:=\:\frac{9}{3}}\)

x = 3

Substitute the value of x into Equation 1 to solve for y:

x + y = 2

3 + y = 2

3 - 3 + y = 2 - 3

y = -1

Therefore, the solution to the given system is: x = 3, y = -1 or (3, -1).

\(\displaystyle\mathsf{\left\{Equation\:1:\:3(6x\:-\:4y)\:=24} \atop{Equation\:2:\:3x\:-\:2y\:=4}} \right.}\)

For Equation 2, divide both sides by -3:

\(\displaystyle\mathsf{\frac{-3(6x-4y)}{-3}=\frac{24}{-3} }\)

6x - 4y = -8

Add 6x to both sides:

6x + 6x - 4y = 6x - 8

- 4y = 6x - 8

Divide both sides by -4 to isolate y:

\(\displaystyle\mathsf{\frac{-4y}{-4}=\frac{6x\:-\:8}{-4} }\)

\(\displaystyle\mathsf{y=-\frac{3}{2}+2}\)

Substitute the value of y from the previous step into Equation 2:

3x - 2y = -4

\(\displaystyle\mathsf{3x\:-\:2\Big(-\frac{3}{2}+2\Big)\:=-4}\)

3x + 3 - 4 = -4

3x - 1 = -4

3x - 1 + 1 = -4 + 1

3x = -3

Divide both sides by 3 to solve for x:

\(\displaystyle\mathsf{\frac{3x}{3}=\frac{-3}{3}}\)

x = -1

Substitute the value of x into Equation 2 to solve for y:

3x - 2y = -4

3(-1) - 2y = -4

-3 - 2y = -4

Add 3 to both sides:

-3 + 3 - 2y = -4 + 3

-2y = -1

Divide both sides by -2 to isolate y:

\(\displaystyle\mathsf{\frac{-2y}{-2}=\frac{-1}{-2}}\)

y = ½

Therefore, the solution to the given system is: x = -1, y = ½ or (-1, ½).

In addition to the question, the following conditions must be met:

(1) M > 100

(2) more than 130 employees participate in the voluntary equity program

Answer:

Value of A is 200

Step-by-step explanation:

In this scenario when we divide 100 by the percentage of each employee category we will get a proportion that the number of employees must obey.

This is illustrated below:

For Beta employees 100/25= 4

So the number of employees that are Beta must be divisible by 4

For Standard employees 100/17 = 5.882

Since fractions of employees cannot be obtained, in this case the number of employees must be a multiple of 100

Total employees are 600

The various combinations are:

1. Beta employees 500 and Standard employees 100

Survey participants= (0.25 * 500) + (0.17 * 100) = 142

Number of participants is okay as it is >130 but does not satisfy Standard employees being >100

2. Beta employees are 300 and Standard employees are 300

Survey participants = (0.25 * 300) + (0.17 * 300) = 126

This does not satisfy condition of survey participants >130

3. Beta employees 400 and Standard employees 200

Survey participants = (0.25 * 400) + (0.17 * 200) = 134

This satisfies conditions of >130 survey participants and Standard employees >100

So correct value of S is 200

Answer:

B

Step-by-step explanation:

285 × .30 = 85.50

285 - 85.50 = 199.50

Answer:

The supplementary angle of the first angle is 180 degrees minus the measure of the angle, which would be 156 degrees. The supplementary angle of the second angle is 180 degrees, so the sum of the two supplementary angles is 336 degrees.

we can use Eisenstein’s criterion to show that f(x) is irreducible in Z[x]. Take p=3. Then 3|3, 3|3, but 3 does not divide 9. Also, 3²=9 does not divide 9.

(a) Let f(x)=3x²+3x+9∈Z/9Z[x]. Since 3≠0 in Z/9Z, then 3 is invertible in Z/9Z. So, by Gauss’ lemma, f(x) is irreducible in Z/9Z[x] if and only if it is irreducible in Z[x].

(b) Simplifying, we get 3(a²+a+3)=0. But 3 is invertible in Z/9Z, so a²+a+3=0. Now we have to find all the solutions to the congruence a²+a+3≡0 mod 9.

We find that the congruence a²+a+3≡0 mod 3 has no solutions in Z/3Z, because the possible values of a in Z/3Z are 0, 1, 2, and for each value of a, we get a different value of a²+a+3. Hence, the congruence a²+a+3≡0 mod 9 has no solution in Z/3Z, and so it has no solution in Z/9Z.

(c) Since f(x) is a polynomial of degree 2, it is reducible over Q if and only if it has a root in Q. To check whether f(x) has a root in Q, we use the rational root theorem. The possible rational roots of f(x) are ±1, ±3, ±9. We check these values, and we find that none of them is a root of f(x).

(d) Since f(x) is a polynomial of degree 2, it is reducible over C if and only if it has a root in C. To find the roots of f(x), we use the quadratic formula:

a=3, b=3, c=9. Then the roots of f(x) are x=(-b±√(b²-4ac))/(2a)=(-3±√(-27))/6=(-1±i√3)/2. Since these roots are not in C, f(x) has no roots in C, and hence, it is irreducible in C[x].

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Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Answer: A = 24

Step-by-step explanation:

Hi, I think you may be looking for the Area of a square, or rectangle.

Step 1. A = bh

Step 2. A = (4 * 6)

Step 3. A = 24

Answer:

24

Step-by-step explanation:

plug in the values of b and h into the equation

Since b=4 we would put:

A=4*h

Now plug in h, which is equal to 6

A = 4*6

So, 4 multiplied by 6 equals 24. This means A is equal to 24

Answer:

150

Step-by-step explanation:

The 100% of a number is represented by N and 60% of N = 90

To find the whole we multiply 90 with 100 and divide that by 60

100*90/60 = 150

Answer:

y=6x-4

Step-by-step explanation:

for the y=mx+b format your m is the slope which is 6 and the b is the y intercept which is the 4

Answer:

x = 42

Step-by-step explanation:

the angles are considered congruent so the equation would be 4x-27 = 3x+15

add 27 to both sides: 4x= 3x +42

subtract 3x from both sides: x= 42

Answer:

y- intercept = \(\frac{1}{2}\)

Step-by-step explanation:

Given

f(x) = \(\frac{1}{2}\) \((6)^{x}\)

To find the y- intercept let x = 0 , then

f(0) = \(\frac{1}{2}\) \((6)^{0}\) [ \(6^{0}\) = 1 ]

      = \(\frac{1}{2}\) × 1 = \(\frac{1}{2}\) ← y- intercept

Using the Lagrange method, the optimal choice is therefore (x1, x2) = (20/9, 4/3).

The optimal choice when pı = 3, P2 = 5 and I = 20 and utility is u(x1, x2) = min{2x1, x2} can be found using the Lagrange method .Lagrange method: This method involves formulating a function (the Lagrange function) which should be optimized with constraints, i.e. the optimal result should be produced while adhering to the constraints provided. The Lagrange function is given by: L(x1, x2, λ) = u(x1, x2) - λ(I - p1x1 - p2x2)

Where L is the Lagrange function, λ is the Lagrange multiplier, I is the budget, p1 is the price of good 1, p2 is the price of good 2.The optimal choice can be determined by the partial derivatives of L with respect to x1, x2, and λ, and setting them to zero to get the critical points. Then, the second partial derivative test is used to determine if the critical points are maxima, minima, or saddle points. The critical points of the Lagrange function L are:

∂L/∂x1 = 2λ - 2p1 = 0 ∂L/∂x2 = λ - p2 = 0 ∂L/∂λ = I - p1x1 - p2x2 = 0

Substitute the first equation into the second equation to get:λ = p2,2λ = 2p1 ⇒ p2 = 2p1,

Substitute the first two equations into the third equation to get: x1 = I/3p1,x2 = I/5p2

Substitute p2 = 2p1 into the above to get:x1 = I/3p1,x2 = I/10p1.Substitute the values of p1, p2 and I into the above to get:x1 = 20/9,x2 = 4/3.The optimal choice is therefore (x1, x2) = (20/9, 4/3).

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