Give the coordinates for the translation of Triangle VWX with vertices V(-1,0), W(6,8), and X(4, -3).
Given the rule (x, y) + (x-1, y-5)

Answer:

40

Step-by-step explanation:

x / 160 = 25/100

x / 160 = 1/4

x = 1/4 * 160

x = 40

Hope this helps!

Answer:

39/18 = 13/6 = 2 1/6

Step-by-step explanation:

factors are 1,2,3,6,9,18

so the reciprocals are

1/1, 1/2, 1/3, 1/6, 1/9, 1/18

when added the sum is 39/18 or 2 1/6

Members of Baby Boomers generation are retiring at a rate of 10,000 every 24 hours and will all be 65 or older by 2030.

There are 4 generational cohorts :

Baby Boomers(1946-1964)

Thirteeners/Gen X(1965-1980)

Millenials/Gen Y(1981-1996)

Centennials/Gen Z(1997-Present)

So , by the above stated data one can clearly say that the Baby Boomers are the oldest generational cohorts. They are the generation born after Second World War.

According to the last census which was taken in 2010 , none of them turned 65 but after that about 10,000 a day have attained that threshhold and by 2030 , all of the boomers are going to attain at least the age 65.

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Answer: 35N

Step-by-step explanation:

Cross multiply and divide to find the missing value

Answer: 35N :)))))))))))))))))))))))))))))

Answer:

a=263.76cm3

b=301.44cm3

c=41.52m3

F(x, y, y', y",..., y(n-1)) is the expression for the function f.

1. Rewrite the given differential equation as y (n) = f (x, y, y', y",..., y (n 1)).

2. Identify y as the dependent variable, y', y",..., y(n-1), as the derivatives of y up to order n-1. X is the independent variable.

3. The right-hand side of the equation, f(x,y,y',y",...,y(n-1)), provides the expression for the function f.f(x,y,y',y",...,y(n-1)) is the expression for the function f, where x is an independent variable, y is the dependent variable, and y', y",...,y(n-1) are y's derivatives up to order n-1. The right-hand side of the equation provides the expression for the function f when the differential equation is written as y (n) = f (x, y, y', y",..., y (n 1)). Consequently, f is a function of x, y, y', y",..., and y. (n-1). The differential equation is resolved using this expression for f.

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A flowchart that performs this operation and check on two numbers is shown below.

The pseudocode for a program that requests for two numbers from an end user, adds these two numbers, and then prints or outputs (displays) to the user that the sum is even or odd. "The sum is odd." or "The sum is even."

START

         Input "Enter a number" into variable X

         Input "Enter another number" into variable Y

         Set variable Z = X + Y

         Set variable E = Z % 2

IF E = 0 then

         PRINT "The sum is even"

END

ELSE

         PRINT "The sum is odd"

END

In conclusion, we would use Microsoft Visio to create the flowchart as shown in the image attached below.

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The rate at which the sloth travels as required in the task content is; -22ft/min.

It follows from the task content that the rate at which the sloth travels is to be determined.

Since the correct representation of the data is such that the distance and corresponding time pairs are as follows;

(98, 1) , (76, 2) , (54, 3), (32, 4).

Hence, the rate of distance change per time is the speed of the sloth and hence, the rate of distance change is;

Rate = ∆Distance/∆time.

Rate, R = (98 - 76)/(1 - 2)

Rate, R = 22/-1

R = -22 ft/min.

Ultimately, the rate at which the sloth travels is therefore; -22 ft/min.

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Answer:

y = 3.5

Step-by-step explanation:

First, you do 14/4 which = 3.5

Hope this helps!

Answer:

y/4+8=22

y/4=22-8

y/4=14/1

y=56

Answer:

-17

Step-by-step explanation:

(-12)+(-5)

Answer: Your answer is -17.

Step-by-step explanation: -12+(-5)

Have a wonderful day, good luck on your question! Bye!

Answer:

x=-1

Step-by-step explanation:

Step 1: Factor

\(x^{2} +2x+1\) => \((x+1)(x+1)\)

Step 2: Solve for x.

\(x+1=0\)

   \(-1\)     \(-1\)

-----------------

\(x=-1\)

Answer:

\(3x-y=14\)

Step-by-step explanation:

To convert an equation into standard form, we want to get into the form \(ax + by = c\).

If we have \(y=3x-14\), our first step is to get the x term on the left side. We can do this by subtracting 3x from both sides.

\(-3x + y = -14\)

I find it easier now to just divide both sides by -1, so that we have a more consistent equation.

\(3x - y = 14\)

Hope this helped!

Answer:

a = 6

Step-by-step explanation:

Answer:

y= 4x -6

Step-by-step explanation:

you write the equation by finding the y-intercept (what y is when x is 0) and then find the slope. slope is rise/run (or y-value over x-value) so you count how you get from the first number of the table, to the second number (for both top and bottom) with the x-values they go up by 1 every time, and with the y-values they go up by 4 every time. so put it as rise/run which would be 4/1 and then simplify, so it's 4. and then you plug the slope and y-intercept into the equation y=mx+b (m is slope and b is y-intercept) and you get:         y=4x-6

Answer:

y = 4x + 8

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 )

Here m = 4 and c = 8 , thus

y = 4x + 8 ← equation of line

The equation in slope-intercept form is y = 4x+8

The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

Given that, a line has a y-intercept of 8 and a slope of 4.

We know that, the general equation of a line is given by, y = mx+c

where m is slope and c is the y intercept,

Here, m = 4 and c = 8

Therefore, the equation can be, y = 4x+8

Hence, The equation in slope-intercept form is y = 4x+8

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Yes, Since  a and b are independent event then therefore, a and b are mutually exclusive events.

             P(a) +P(b) = 0.5+0.5

therefore, P(a ∪b) = 1.0

Mutually exclusive events are events that do not occur at the same time. For example, when you toss a coin, the result is either heads or tails, but you cannot get both results. Such events are also called disjoint events because they do not occur at the same time. If A and B are mutually exclusive events, their probabilities are given by P(A or B) or P(A U B).

According to the question:

P(a) = 0.5 and P(b)=0.5

therefore,

    P(a) +P(b) = P(a ∪ b)

⇒ 0.5 +0.5 = 1.0

Therefor a and b are mutually exclusive events.

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Answer:

L: (4,0) and L': (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I messed up on P'

I drew it as -3,3 but it should be -3,2

Which is what i wrote it as

Answer:

Step-by-step explanation:

\(a)\quad AB\)

\(b)\quad AB\)

\(c)\quad AC\)

\(d)\quad BC\)

\(e)\quad BC\)

\(f)\quad AC\)

Answer:

4 and 72

Step-by-step explanation:

Answer:

4 and 72 !

Step-by-step explanation:

For any positive integer n and real numbers a and b with 0 < b < a, it is true that  \(a^n - b^n\) <= n * \(a^n\) * (a-b).

First, we can write \(a^n - b^n\) as (a-b) multiplied by the sum of\(a^{(n-1)}*b^{(0)}, a^{(n-2)}*b^{(1)},...,b^{(n-1)}\). Using the fact that b < a, we can conclude that each term in this sum is less than or equal to \(a^{(n-1)}\), since at least one of the exponents in each term is less than n-1.

So we have:

\(a^n - b^n\) <= (a-b) * ( \(a^{(n-1)}\) + \(a^{(n-1)}\) + ... + \(a^{(n-1)}\))

\(a^n - b^n\) <= (a-b) * n * \(a^{(n-1)}\)

Finally, we can rearrange this inequality to get:

\(a^n - b^n\) <= n * \(a^n\) * (a-b)

Therefore, we have proven that \(a^n - b^n\) <= n * \(a^n\) * (a-b) for any positive integer n and real numbers a and b with 0 < b < a.

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The probability of being a senior is the total number of seniors divided by the total number of students.

The probability of a student walking given that they are seniors can be calculated using Bayes' theorem. Bayes' theorem is a formula that relates conditional probabilities to their inverses. The formula is: P(A|B) = P(B|A) P(A) / P(B)where P(A|B) is the probability of event A given that event B has occurred. In this case, A is "walking" and B is "senior." P(B|A) is the probability of being a senior given that the student is walking, P(A) is the probability of walking, and P(B) is the probability of being a senior. We can also represent the above formula in the form of a tree diagram, where P(walk | senior) is one branch of the tree.

The probability of being a senior is represented by the root of the tree, while the probability of walking is represented by a branch from the root. The probability of walking given that the student is a senior is calculated by dividing the probability of a senior walking by the probability of being a senior. The probability of walking can be calculated by adding up the probabilities of walking for each grade level and dividing by the total number of students.

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To find the derivatives of y with respect to t, we'll use the chain rule and the product rule.

y = -e^(-t) + 6

First, let's find dy/dt:

dy/dt = d/dt (-e^(-t) + 6)

= -d/dt(e^(-t)) + 0 [since the derivative of a constant is zero]

= e^(-t)

Next, let's find d^2y/dt^2 (the second derivative of y with respect to t):

d^2y/dt^2 = d/dt(dy/dt)

= d/dt(e^(-t))

= -e^(-t)

Therefore, the derivatives as functions of t are:

dy/dt = e^(-t)

d^2y/dt^2 = -e^(-t)

Note: It seems there might be a typo in the given expression for dy/dx, as the original function y is expressed in terms of t. If there was an error or if you intended to find the derivatives with respect to a different variable, please provide the correct equation for y in terms of x, and I'll be happy to help further.

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b=3 and x= -2.

-b + 8x

-3 + 8(-2)

-3 + -16

-19

have a great day :)

The expressions for Y(t) and X(t) obtained by applying inverse Laplace transforms to the given equations are :

For Y(t):

Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t)

For X(t):

X(t) = 1/12 + e^(-0.5t) - e^(-4t) - e^(-3t)

To find Y(t) using Laplace transforms for the equation Y(s) = 2(s + 1) / (s(s^2 + 4)), we need to apply the inverse Laplace transform to the given expression.

Decompose the fraction using partial fraction decomposition:

1/(s(s^2 + 4)) = A/s + (Bs + C)/(s^2 + 4)

Multiplying through by s(s^2 + 4), we get:

1 = A(s^2 + 4) + (Bs + C)s

Expanding the equation, we have:

1 = As^2 + 4A + Bs^2 + Cs

Equating the coefficients of like powers of s, we get the following system of equations:

A + B = 0 (for s^2 term)

4A + C = 0 (for constant term)

0s = 1 (for s term)

Solving the system of equations, we find:

A = 0

B = 0

C = 1/4

Therefore, the decomposition becomes:

1/(s(s^2 + 4)) = 1/4(s^2 + 4)/(s^2 + 4) = 1/4(1/s + s/(s^2 + 4))

Taking the Laplace transform of the decomposed terms:

L^(-1){Y(s)} = L^(-1){2(s + 1)/s} + L^(-1){1/4(1/s + s/(s^2 + 4))}

The inverse Laplace transform of 2(s + 1)/s is 2 + 2e^(-t).

For the second term, we have two inverse Laplace transforms to find:

L^(-1){1/4(1/s)} = 1/4

L^(-1){1/4(s^2 + 4)} = 1/4 * sin(2t)

Combining all the terms, we get:

Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t)

Thus, Y(t) = 2 + 2e^(-t) + 1/4 + 1/4 * sin(2t).

Now, let's find X(t) using Laplace transforms for the equation X(s) = (s + 1 * e^(-0.5s))/(s(s + 4)(s + 3)).

Apply the inverse Laplace transform to X(s).

X(t) = L^(-1){(s + 1 * e^(-0.5s))/(s(s + 4)(s + 3))}

Decompose the fraction using partial fraction decomposition:

1/(s(s + 4)(s + 3)) = A/s + B/(s + 4) + C/(s + 3)

Multiplying through by s(s + 4)(s + 3), we get:

1 = A(s + 4)(s + 3) + Bs(s + 3) + C(s)(s + 4)

Expanding the equation, we have:

1 = A(s^2 + 7s + 12) + Bs^2 + 3Bs + Cs^2 + 4Cs

Equating the coefficients of like powers of s, we get the following system of equations:

A + C = 0 (for s^2 term)

7A + 3B + 4C = 0 (for s term)

12A = 1 (for constant term)

Solving the system of equations, we find:

A = 1/12

B = -1/3

C = -1/12

Therefore, the decomposition becomes:

1/(s(s + 4)(s + 3)) = 1/12(1/s - 1/(s + 4) - 1/(s + 3))

Taking the Laplace transform of the decomposed terms:

L^(-1){X(s)} = L^(-1){(1/12)(1/s - 1/(s + 4) - 1/(s + 3))}

The inverse Laplace transform of 1/s is 1.

The inverse Laplace transform of 1/(s + 4) is e^(-4t).

The inverse Laplace transform of 1/(s + 3) is e^(-3t).

Combining all the terms, we get:

X(t) = 1/12 + 1 * e^(-0.5t) - 1 * e^(-4t) - 1 * e^(-3t)

Thus, X(t) = 1/12 + e^(-0.5t) - e^(-4t) - e^(-3t).

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Answer:

$120

Step-by-step explanation:

2/3 of 18 pizzas is 6. 6+6=12

so 12 x 10=120

Just the cheese pizzas cost $120 in total.

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Answer:

58

Step-by-step explanation:

bcoz range is the difference between the highest number and the least number so 81 - 22 = 58

Answer:

Range= 59

Step-by-step explanation:

81-22 = 59

Answer:

x=6

Step-by-step explanation:

The angles are alternate exterior angles, which are equal

19x-4 = 110

Add 4 to each side

19x -4+4 = 110+4

19x = 114

Divide by 19

19x/19 = 114/19

x=6

I think x=6............

The number selected is the square of a natural number is 1/5.

What is probability and example?

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by -

P = Square number /total numbers

P = 4/20 = 1/5

Therefore,  the number selected is the square of a natural number is 1/5.

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