an inventor is designing a machine that will have two gears. the first gear will complete one revolution every 8x squared y seconds. the second gear will complete one revolution every 6x to the third power y squared seconds. how often will both of the gears be in their starting positions at the same time​

The equation that represents the relationship on the graph attached below is: y = 4/5x + 3.

Given a linear graph like the one attached below, showing the relationship between x and y, the equation that represents the relationship between x and y in the given graph can be expressed as: y = mx + b, where m is the slope (m) and b is the y-intercept (b) of the graph.

In the given image, the line intercepts the y-axis at 3, therefore the y-intercept of the graph is b = 3.

The slope of the graph (m) = change in y / change in x = (11 - 7)/(10 - 5)

m = 4/5

To write the equation of the relationship, substitute m = 4/5 and b = 3 into y = mx + b:

y = 4/5x + 3

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From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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Answer:

-10

Step-by-step explanation:

g(5) for g(x)= -2x

we put 5 to x

g(5) =  -2.5

       =-10

To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

The length of JK which is extended from chord KL is approximately 7.75 units.

To find the length of JK and write the quadratic equation, let's analyze the given information:

In the given figure, we have JM = 2, KL = 5, and MN = 10. Let x represent the length of JK.

From this information, we can observe that JK can be split into two segments: JM + MN and KL. Therefore, we can write the equation:

(JM + MN) * KL = x²

Substituting the given values:

(2 + 10) * 5 = x²

12 * 5 = x²

60 = x²

So, the quadratic equation that must be solved to find the length of JK is x² = 60.

To find the length of JK, we need to take the square root of both sides of the equation:

x = √60

Simplifying the square root of 60 gives:

x ≈ 7.75

Therefore, the length of JK is approximately 7.75 units.

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Answer:

Step-by-step explanation: yes, we belive that they start young with pyromania.  They may see as something powerful

Answer:

2.704 times 1000

2.704*1000

(in multiplication the decimal place goes right side to the digit)

So in =2.704,*1000

=2704

If you are helped with my answer pls tag me brianliest I really want it... Plzz

THANK You....

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

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To solve this problem, we need to use vector addition to find the resultant velocity of Julia.

Let's assume that the east direction is the positive x-axis and the south direction is the negative y-axis.

The velocity of Julia in still water is 8 km/hr in the positive x-axis direction.

The velocity of the river is 3 km/hr in the negative y-axis direction.

To find the magnitude and direction of Julia's velocity, we need to find the resultant velocity vector, which is the vector sum of her velocity in still water and the velocity of the river.

Using the Pythagorean theorem, the magnitude of the resultant velocity can be calculated as:

|V| = √(Vx² + Vy²)

where Vx is the x-component of the resultant velocity and is equal to Julia's velocity in still water, and Vy is the y-component of the resultant velocity and is equal to the velocity of the river.

Vx = 8 km/hr

Vy = -3 km/hr

|V| = √(8² + (-3)²) = √(64 + 9) = √73 km/hr

The direction of the resultant velocity can be calculated as:

θ = tan⁻¹(Vy / Vx)

θ = tan⁻¹(-3 / 8) = -20.56°

The negative sign indicates that the resultant velocity vector makes an angle of 20.56° below the positive x-axis (east direction).

Therefore, the magnitude of Julia's velocity is approximately 8.54 km/hr, and the direction of her velocity is 20.56° below the positive x-axis (east direction).

Answer:

I think it is A, C, E I'm. it too sure, sorry if it's wrong

a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have

\(\displaystyle \int_{-\infty}^\infty f(y) \, dy = \frac14 \int_0^\infty e^{-\frac y4} \, dy = -\left(\lim_{y\to\infty}e^{-\frac y4} - e^0\right) = \boxed{1}\)

so both conditions are met and f(y) is indeed a PDF.

b) The probability P(Y > 4) is given by the integral,

\(\displaystyle \int_{-\infty}^4 f(y) \, dy = \frac14 \int_0^4 e^{-\frac y4} \, dy = -\left(e^{-1} - e^0\right) = \frac{e - 1}{e} \approx \boxed{0.632}\)

c) The mean is given by the integral,

\(\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \int_0^\infty y e^{-\frac y4} \, dy\)

Integrate by parts, with

\(u = y \implies du = dy\)

\(dv = e^{-\frac y4} \, dy \implies v = -4 e^{-\frac y4}\)

Then

\(\displaystyle \int_{-\infty}^\infty y f(y) \, dy = \frac14 \left(\left(\lim_{y\to\infty}\left(-4y e^{-\frac y4}\right) - \left(-4\cdot0\cdot e^0\right)\right) + 4 \int_0^\infty e^{-\frac y4} \, dy\right)\)

\(\displaystyle \cdots = \int_0^\infty e^{-\frac y4} \, dy\)

\(\displaystyle \cdots = -4 \left(\lim_{y\to\infty} e^{-\frac y4} - e^0\right) = \boxed{4}\)

Answer:

28:16

8×2=16

14×2=28

I hope this helps:

y = mx + c

y intercept= (0,-4) , x intercept = (3,0)

m = (y2-y1)/(x2-x1)

m = (0-(-4))/(3-0)

m = 4/3

0 = (4/3)(3)+ c

c = -4

Thus, the equation is y = 4/3 x -4

Hope it helps :)

Mark it as Brainliest answer pls :)

Although part of your question is missing, you might be referring to this full question: Write an expression that describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. –1, 0, 1, 2, ...

The expression that describes the given sequence is: aₙ = –2 + n

This is an arithmetic sequence. Arithmetic sequence is a sequence of numbers in which every term (except the first term) is provided by adding a constant number to the previous term.

An arithmetic sequence can be defined by an explicit formula in which aₙ = d (n – 1) + c, where d is the common difference between consecutive terms, and c = a₁.

In this case, the given sequence is –1, 0, 1, 2, ...

This is an arithmetic sequence with common difference.

Because of:

0 – (–1) = 1

1 – 0 = 1

2 – 1 = 1 …

Then, a₁ = –1

Now, substitute the value of a₁ = –1, d = 1 into the formula.

aₙ = d (n – 1) + c

aₙ = 1 (n – 1) + (–1)

aₙ = n + (–2)

aₙ = –2 + n

Hence, the expression that describes the given sequence is: aₙ = –2 + n.

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Answer:

out of 100

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Answer:

y = x + 1

Step-by-step explanation:

Parallel lines have same slope.

y = x - 1

Compare with the equation of line in slope y-intercept form: y = mx +b

Here, m is the slope and b is the y-intercept.

m =1

Now, the equation is,

         y = x + b

The required line passes through (-3 ,-2). Substitute in the above equation and find y-intercept,

        -2 = -3 + b

  -2 + 3 = b

         \(\boxed{b= 1}\)

    Equation of line in slope-intercept form:

                  \(\boxed{\bf y = x + 1}\)      

The equation is :

Solution:

If two lines are parallel to each other, then their slopes are equal. The slope of y = x - 1 is 1. Hence, the slope of the line that is parallel to that line is 1.

We shouldn't forget about a point on the line : (-3, -2).

I plug that into a point-slope which is :

\(\sf{y-y_1=m(x-x_1)}\)

Slope is 1 so

\(\sf{y-y_1=1(x-x_1)}\)

Simplify

\(\sf{y-y_1=x-x_1}\)

Now I plug in the other numbers.

-3 and -2 are x and y, respectively.

\(\sf{y-(-2)=x-(-3)}\)

Simplify

\(\sf{y+2=x+3}\)

We're almost there, the objective is to have an equation in y = mx + b form.

So now I subtract 2 from each side

\(\sf{y=x+1}\)

Answer:

d = 2

Step-by-step explanation:

Using the formula

A=pq/2

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The mean number of ice chests in a section is 46.75.

The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..

To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.

Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51

Sum of ice chests = 374

Mean number of ice chests will be:

= (Sum of ice chests) / (Total number of sections sampled)

= 374 / 8

= 46.75

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The time taken for the bomb to fall to the ground is 2.5 sec.

Given:

Height (h) = 50 m

Horizontal velocity(u) = 20 m/s

Time (t) =?

We use, h = ut to determine the time

50 = 20 × t

Divide both sides by 20,

t = 50 / 20

t = 5/2 s ≅ 2.5 sec

Thus, the bomb will take 2.5 sec to land on the ground.

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The complete question is: "A bomb is projected horizontally downward from a height of 50m with a velocity of 20m/s. Calculate the time taken for the bomb to fall to the ground."

Answer:

x = 37

Step-by-step explanation:

-6x = -222

Divide each side by -6:

x = 37

Answer: exstract form= 222/5

decimal form= 44.4

mixed number= 44 2/5

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

Multiply 75 by 0.6:

75(0.6)

= 45

So, 45 well done burgers were served

Answer:

4 cups

Step-by-step explanation:

For one batch of cookies you'll need 1/2 cup of sugar. 8 batches of cookies is 8 times the amount of batches of one batch of cookies. So, if the amount of batches is multiplied by 8, then we need to multiply the amount of sugar by 8 as well:

1/2 * 8 = 8/2 = 4/1 = 4

4 cups of white sugar are needed for 8 batches of cookies.

A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

Answer:

Step-by-step explanation:Answer:

1cm = 50

2 cm = 50 x 2

3cm = 50 x 3

and the inverse:50m = 50/50 = 1cm

100m = 100/50 = 2cm

150m = 150/50 = 3cm

381m = 381/

Part A:The first equation is:

Which is the same as the second equation.

Hence the system has infinitely mant solutions.

Part B:The equations are:

Solve the equations to get:

Substitute the value of x in any of the equations to get:

Hence the system has unique solution whicch is (-3,0)

Part C:The equations are:

The system represents a pair of parallel lines hence the system has no solution:

Answer:

d.2pi/3​

Step-by-step explanation:

Suppose we have a cosine function in the following format:

\(y = a\cos{bx + c}\)

Only b is relevant to find the period.

The period is: \(P = \frac{2\pi}{|B|}\)

In this question:

\(y = 2\cos{3x - 2\pi}\)

Then B = 3.

\(P = \frac{2\pi}{|B|} = \frac{2\pi}{|3|} = \frac{2\pi}{3}\)

So the correct answer is:

d.2pi/3​

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

Ok, so

Given:

We want to find (fog)(x) and (gof)(x).

First, let's find (fog)(x).

This is:

So we're going to evaluate f in (x2 + 5).

Now, let's find (gof)(x). This is:

So we're going to evaluate g in the function f.

Answer:

It already is rounded to the nearest percent, 60.

Step-by-step explanation: