Solve the linear equation.
x/7 = -8

Answer:

B

Step-by-step explanation:

the shape will reflect b

Answer:

y - 2 = 3 (x - 4) - Point-Slope form.

y = 3x - 10 - Slope-intercept form.

Step-by-step explanation:

I will solve by using the formula:

y - y1 = m (x - x1)

Substitute:

y - 2 = 3 (x - 4)

This is the answer written in point-slope form.

I will put it into slope-intercept form.

Distribute:

y - 2 = 3x - 12

add 2 to both sides:

y = 3x - 10

Point (4 , 2) with a slope of 3 as an equation written in slope-intercept form looks like:

y = 3x - 10

The equation in point-slope form is y = 3x - 10 for the line that passes through the point at (4,2) with the given slope m=3.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

Given that line that passes through the point at (4,2)

Let the equation in point-slope form would be

⇒ y - y₁ = m(x -x₁ )

Here, slope m = 3, x₁ = 4 and  y₁ = 2

Substitute the values in the equation, and we get

⇒ y - 2 = 3 (x - 4)

⇒ y - 2 = 3x - 12

Add 2 to both sides of the equation

⇒ y = 3x - 10

Hence, the equation in point-slope form is y = 3x - 10 for the line that passes through the point at (4,2) with the given slope m = 3.

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ2

Answer:

To solve for x in the equation 8x + 7 = 6x + 15, you need to isolate the variable (x) on one side of the equation.

First, you can start by subtracting 6x from both sides of the equation to get:

8x + 7 - 6x = 15

Simplifying this gives: 2x + 7 = 15

Next, you can subtract 7 from both sides of the equation to get: 2x = 8

Finally, divide both sides of the equation by 2 to solve for x: x = 4

Therefore, the solution for x in the equation 8x + 7 = 6x + 15 is x = 4

Answer:

x = 4

Step-by-step explanation:

To solve the equation 8x + 7 = 6x + 15, you can start by isolating the variable on one side of the equation. To do this, you can subtract 6x from both sides of the equation to get 2x + 7 = 15. Then, you can subtract 7 from both sides of the equation to get 2x = 8. Finally, you can divide both sides of the equation by 2 to get x = 4 1.

I hope that helps!

The missing leg of right triangle is: 3 meters and the angle with respect to the horizontal is 53.13°

Here in a right triangle we know the hypotenuse a = 5 m and one leg b = 4 m.

Let us assume that 'c' be the horizontal leg of the right triangle.

Using Pythagoras theorem,

a² = b² + c²

Substituting values,

5² = 4² + c²

c² = 25 - 16

c² = 9

c = 3 m

Let us assume that θ be the angle with respect to the horizontal.

Consider the sine of the angle θ

sin(θ) = opposite side of angle θ / hypotenuse

sin(θ) = b/a

sin(θ) = 4/5

θ = 53.13°

Thus, the angle with respect to the horizontal = 53.13°

Learn more about the right triangle here:

https://brainly.com/question/6322314

#SPJ4

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Answer:

[8,30]

Step-by-step explanation:

Domain means X. So you look for the smallest X value in your data and the largest X value in your data.

Answer: Here ya go bro, answer is in picture below

A Markov chain models flashlight movement in an assembly line with seven states and transition probabilities. Steady-state probabilities are calculated to determine long-run proportions in each state.

Let's denote the state of the system by the number of flashlights in the tool cabinet at the starting end of the assembly line. Since there are two tool cabinets and a total of six flashlights, the state space consists of seven possible states: 0, 1, 2, 3, 4, 5, or 6 flashlights in the tool cabinet at the starting end.

At each step of the Markov chain, the supervisor takes a flashlight from the tool cabinet at the starting end (if one is available), and leaves a flashlight (if she possesses one) in the tool cabinet at the ending end. This means that the Markov chain is time-homogeneous, since the transition probabilities depend only on the current state and not on the time at which the transition occurs.

Let's calculate the transition probabilities between the states. If the supervisor starts at a state with k flashlights in the tool cabinet at the starting end, then there are 6 - k flashlights in the tool cabinet at the ending end. Therefore, the probability of moving to a state with j flashlights in the tool cabinet at the starting end is equal to the probability of taking a flashlight from the starting end (which is k/6 if k > 0) multiplied by the probability of leaving a flashlight at the ending end (which is (6 - k)/6 if j > 0) multiplied by the probability of starting at the ending end (which is 1/2 since the supervisor is equally likely to start at either end). Formally, we have:

P(k, j) = (k/6) * ((6 - k)/6) * (1/2)  if j > 0

P(k, 0) = (6 - k)/6 * (1/2)                if j = 0

Note that since the supervisor always takes a flashlight from the tool cabinet at the starting end, it is impossible to transition to a state with more flashlights at the starting end than the current state (i.e., P(k, j) = 0 if j > k).

We can represent the transition probabilities between the states using a transition probability matrix, which is a 7x7 matrix where element (i,j) is the probability of transitioning from state i to state j:

| P(0,0)  P(0,1)  P(0,2)  P(0,3)  P(0,4)  P(0,5)  P(0,6) |

| P(1,0)  P(1,1)  P(1,2)  P(1,3)  P(1,4)  P(1,5)  P(1,6) |

| P(2,0)  P(2,1)  P(2,2)  P(2,3)  P(2,4)  P(2,5)  P(2,6) |

| P(3,0)  P(3,1)  P(3,2)  P(3,3)  P(3,4)  P(3,5)  P(3,6) |

| P(4,0)  P(4,1)  P(4,2)  P(4,3)  P(4,4)  P(4,5)  P(4,6) |

| P(5,0)  P(5,1)  P(5,2)  P(5,3)  P(5,4)  P(5,5)  P(5,6) |

| P(6,0)  P(6,1)  P(6,2)  P(6,3)  P(6,4)  P(6,5)  P(6,6) |

We can fill in the entries of this matrix using the transition probabilities we calculated above.

For example, to find P(2,3), we use the formula we derived above, with k=2 and j=3:

P(2,3) = (2/6) * ((6 - 2)/6) * (1/2) = 1/12

Similarly, we can find all the other entries of the matrix.

Once we have the transition probability matrix, we can use it to calculate the steady-state probabilities of each state. These are the probabilities that the system will be in each state in the long run, assuming that the Markov chain has reached a steady state. The can be found by solving the equation:

πP = π

where π is a row vector of the steady-state probabilities and P is the transition probability matrix. Since the sum of the probabilities in any row of P is 1, we also have the normalization condition that the sum of the probabilities in π is 1.

We can solve for π using various methods, such as row reduction or matrix inversion. The steady-state probabilities tell us the long-run proportion of time that the system will spend in each state.

In summary, we can model the movement of flashlights using a discrete-time Markov chain with a state space of seven possible states (corresponding to the number of flashlights in the tool cabinet at the starting end), and transition probabilities that depend on the probabilities of taking and leaving flashlights at each end of the assembly line. We can calculate the steady-state probabilities of each state, which tell us the long-run proportion of time that the system will spend in each state.

know more about Markov chain here: brainly.com/question/30998902

#SPJ11

By using Dirac delta function, δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

Here's how to show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)]

To show that δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)],

we can use the definition of Dirac delta function.

Dirac delta function is defined as follows:∫δ(x)dx=1and 0 if x≠0

In order to solve the given expression, we have to take the integral of both sides from negative infinity to infinity, which is given below:∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dx

To compute the left-hand side, we use a substitution u=x^2-a^2 du=2xdxWhen x=-a, u=a^2-a^2=0 and when x=a, u=a^2-a^2=0.

Therefore,-∞∫∞δ(x^2-a^2)dx=-∞∫∞δ(u)1/2adx=1/2a

Similarly, the right-hand side becomes:∫1/2a[δ(x-a)+ δ(x+a)]dx=1/2a∫δ(x-a)dx +1/2a∫δ(x+a)dx=1/2a + 1/2a=1/2a

Therefore,∫δ(x^2-a^2)dx=∫1/2a[δ(x-a)+ δ(x+a)]dxHence, δ(x^2-a^2)=1/2a[δ(x-a)+ δ(x+a)].

Next, we can show that δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ as follows:We know that cosθ = cosθ' which implies θ=θ'+2nπ or θ=-θ'-2nπ.

Therefore, c0sθ-cosθ'=c0s(θ'-2nπ)-cosθ'=c0sθ'-cosθ' = sinθ'c0sθ-sinθ'cosθ'.

We can use the following identity to simplify the above expression:c0sA-B= c0sAcosB-sinAsinB

Therefore,c0sθ-cosθ' =sinθ'c0sθ-sinθ'cosθ'=sinθ'[c0sθ-sinθ'cosθ']/sinθ' =δ(θ-θ')/sinθ'

Hence,δ(c0sθ- cosθ)= δ(θ-θ’)/sin θ’= δ (θ- θ’)/ sin θ.

Learn more about Dirac delta function

brainly.com/question/32558176

#SPJ11

The second fundamental theorem of calculus is a fundamental result in calculus because it allows us to use integration to solve problems that involve differentiation.

The fundamental theorem of calculus is divided into two parts, which are called the first and second fundamental theorem of calculus. The first fundamental theorem of calculus is a statement about the connection between differentiation and integration.

The theorem can be stated as follows:

Suppose that f(x) is a continuous function on the interval [a, b] and that F(x) is any antiderivative of f(x). Then the definite integral of f(x) from a to b is equal to

F(b) - F(a), or:

\(\int_{a}^{b}f(x)dx=F(b)-F(a)dx\)

The first fundamental theorem of calculus is a critical result in calculus because it allows us to evaluate definite integrals using antiderivatives. This means that we can use differentiation to solve problems that involve integration.The second fundamental theorem of calculus is a statement about how to differentiate integrals. The theorem can be stated as follows:

Suppose that f(x) is a continuous function on the interval [a, b], and that F(x) is an antiderivative of f(x). Then the derivative of the integral of f(x) from a to x is equal to f(x), or:

\(\frac{d}{dx}\int_{a}^{x}f(t)dt=f(x)dx\)

To know about calculus visit:

https://brainly.in/question/4630073

#SPJ11

Answer:

24

Step-by-step explanation:

The range of a data set is the difference between the largest value and the smallest value.

{98 76 100 88 82}

The lowest grade is a 76 and the highest grade is a 100.

100-76=24

The range of the test scores should be 24.

The range of the given test scores should be; 24.

The range of a data set is the difference between the largest value and the smallest value.

We have been given a data set that represents the math scores of five of Max's classmates in the table. We are asked to determine the range of the given data set.

Math score: {98 76 100 88 82}

Since we know that the range is the difference between the largest and smallest values of the data set.

We can see that the lowest grade is a 76 and the highest grade is a 100.

Range = 100-76=24

Therefore, the range of the given test scores should be; 24.

Learn more about the domain and range of the function:

brainly.com/question/2264373

#SPJ6

The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.

Volume of the  right circular cylinder be;

v(c) = 12 in³ =  π*r²*h    

In which, h is the height of the cylinder,

Then , h  =  12 / π*r²

Surface area of a right circular cylinder is:

S = area of base and top  + lateral area

S(A)  =  2*π*r²  + 2*π*r*h  ....eq 1

Put value of 'h' in equation (1)

S(r)  =  2*π*r² +   2*π*r*  ( 12 / π*r²)

S(r)  =  2*π*r² + 24 /r

Differentiate both sides,

S´(r)  =  4*π*r -  24 /r²

Put , S´(r)  = 0 to get the critical points.

4*π*r -  24 /r²  =  0

π*r - 6/r² = 0

π*r³ - 6  = 0

r³   =  1,91    

r = 1,248 in    

Check for the minimum surface area for r = 1,248 in.

Find the second derivative,

S´´(r)  =  4*π  +  48/r³    

S´´(r)  will always be positive.

Thus,  the minimum surface area S  is for   r = 1,248 in.

To know more about the right circular cylinder, here

https://brainly.com/question/12762578

#SPJ4

Answer:

D

Step-by-step explanation:

Answer:

there are 20 movies

Step-by-step explanation:

The key to solving problems involving scale drawings lies in understanding the concept of scale factor and using proportional relationships to find missing measurements or determine the actual size of objects.

When working with scale drawings, it is essential to comprehend the concept of scale factor. The scale factor represents the ratio of the measurements on the drawing to the corresponding measurements in the actual object. To solve problems involving scale drawings, start by identifying the given measurements and scale factor. Then, use proportional relationships to set up ratios between the measurements on the drawing and the actual object. By setting up these ratios, you can establish an equation and solve for the unknown measurement. For example, if the drawing shows a length of 5 centimeters with a scale factor of 2:1, you can set up the equation 5/2 = x/1, where x represents the actual length. Cross-multiplying and solving for x will give you the actual length. Additionally, you can use the scale factor to determine the actual size of objects. By multiplying the measurements on the drawing by the scale factor, you can find the corresponding measurements in the actual object. Remember to convert units if necessary and pay attention to any specific instructions or information given in the problem. By applying these techniques, you can effectively solve problems involving scale drawings.

Learn more about scale drawings here:

https://brainly.com/question/30771513

#SPJ11

Answer:

x = 5.5

Step-by-step explanation:

From rectangle KLMN, KM = 6x + 16, LN = 49

Find x

It can be seen that KM and LN are both equal diagonals in the rectangle.

Therefore,

KM = LN

6x + 16 = 49

6x = 49 - 16

6x = 33

Divide both sides by 6

x = 33/6

x = 5.5

Answer:

4.9cm

Step-by-step explanation:

Answer:

\(M=\frac{280}{140} =2\)

\(C=2+5=7\)

(2 Movies and 7 Commercials)

Step-by-step explanation:

Let's represent every time Carson's songs are played in a commercial as C and in movies as M.

Set up the following equations:

\(20C+120M=380\)  (1)

\(C=M+5\)   (2)

Substitute equation 2 for equation 1:

\(20(M+5)+120M=380\)

Distribute:

\(20M+100+120M=380\)

Simplify:

\(140M=280\)

Divide both sides by 140:

\(M=\frac{280}{140} =2\)

Substitute 2 as M back into either original equation, I will use (2):

\(C=2+5=7\)

Answer:

Step-by-step explanation:

Answer:

The last one)

6 21/64 in.3

Step-by-step explanation:

Simply multiply LxWxH, (length x width x height.)

LxWxH= 3 1/2in x 1 7/8 in x 2 3/4 in= 6 21/64 in.3.

In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.

To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.

Therefore, we need to stack the sweets in groups of 24.

We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.

48 / 24 = 2

So, we can stack the Kaju burfies in two stacks of 24 each.

We also have 72 badam becafio, which we need to stack in groups of 24.

72 / 24 = 3

So, we can stack the badam becafio in three stacks of 24 each.

Thus, we can stack the sweets in six stacks, each with 24 sweets.

So, there will be 24 Kaju burfies in each stack.

Learn more about greatest common divisor  here: https://brainly.com/question/29399179

#SPJ1

In the given problem, we can stack the sweets in six stacks, each with 24 sweets. So, there will be 24 Kaju burfies in each stack.

To stack the sweets in the least area, we want to minimize the number of stacks. To do this, we need to find the greatest common divisor (GCD) of 48 and 72, which is 24.

Therefore, we need to stack the sweets in groups of 24.

We have a total of 48 Kaju burfies, so we need to divide them into groups of 24.

48 / 24 = 2

So, we can stack the Kaju burfies in two stacks of 24 each.

We also have 72 badam becafio, which we need to stack in groups of 24.

72 / 24 = 3

So, we can stack the badam becafio in three stacks of 24 each.

Thus, we can stack the sweets in six stacks, each with 24 sweets.

So, there will be 24 Kaju burfies in each stack.

Learn more about greatest common divisor  here: https://brainly.com/question/29399179

#SPJ1

Answer

Jhonny's  kick is more painful

Step-by-step explanation:

because kicks are more painful than punches.

Answer: Hope this helps!

18 ft

Step-by-step explanation: Good luck :)

This question sounds confusing but if you just look at the numbers it is much easier.

Elephant height: 8 ft

Elephant shadow: 4ft

Statue height: ?

Statue shadow: 9ft

As you can see the elephant's height is double the size of the shadow, if you put those as ratios the statues height will also be double its shadow, from there just double 9ft and you will get your answer. 9x2=18ft

It is C 50 Hopefully this is right

Answer:

60 or D

Step-by-step explanation:

The Range is the difference between the lowest and highest values.

80-20= 60

To set up this study as a formal hypothesis test, the null hypothesis (H0) would be that the average age of first childbirth among mothers at community colleges (CBC) is equal to the national average of 26 years old.

The alternative hypothesis (Ha) would be that the average age of first childbirth among CBC mothers is lower than the national average.
The next step would be to collect a random sample of CBC students who are mothers and determine their average age at first childbirth. This sample would be used to calculate the sample mean.
Once the sample mean is obtained, it can be compared to the national average of 26 years old. If the sample mean is significantly lower than 26, it would provide evidence to reject the null hypothesis in favor of the alternative hypothesis, supporting the student's hypothesis that the average age of first childbirth among CBC mothers is lower than the national average.
The student plans to conduct a hypothesis test to determine if the average age of first childbirth among mothers at CBC is lower than the national average.

To know more about  alternative hypothesis  visit :

brainly.com/question/33149605

#SPJ11

In summary the answer is (C) y = 3x - 3.

To find the equation of the line passing through the coordinates (4,9) and (6, 15), we can use the slope-intercept form of the equation of a line, which is: y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the slope of the line passing through the given coordinates, we can use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the two points on the line.

Substituting the given values, we get: m = (15 - 9) / (6 - 4) = 6 / 2 = 3

So the slope of the line is 3.

To find the y-intercept, we can use one of the given points and the slope. Let's use the point (4, 9): y = mx + b, 9 = 3(4) + b, b = 9 - 12, b = -3

So the y-intercept is -3.

Therefore, the equation of the line passing through the coordinates (4, 9) and (6, 15) is: y = 3x - 3

Hence, the answer is (C) y = 3x - 3.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

The lines intersect at the point (3, 2). Therefore, the solution to the system of equations y = 2x - 4 and y = (-1/2)x + 1 is x = 3 and y = 2.

To solve the system of equations y = 2x - 4 and y = (-1/2)x + 1 using the graphing method, we can graph both equations on the same coordinate plane and find the point of intersection.

To graph y = 2x - 4, we can start by plotting the y-intercept, which is -4. From there, we can use the slope of 2 to plot additional points. For example, if we move one unit to the right along the x-axis, we would move two units up along the y-axis to get the point (1, -2). Similarly, if we move one unit to the left, we would move two units down to get the point (-1, -6). By connecting these points, we can graph the line y = 2x - 4.

To graph y = (-1/2)x + 1, we can start by plotting the y-intercept, which is 1. From there, we can use the slope of (-1/2) to plot additional points. For example, if we move two units to the right along the x-axis, we would move one unit down along the y-axis to get the point (2, 1/2). Similarly, if we move two units to the left, we would move one unit up to get the point (-2, 3/2). By connecting these points, we can graph the line y = (-1/2)x + 1.

The point where the two lines intersect is the solution to the system of equations. By looking at the graph, we can see that the lines intersect at the point (3, 2). Therefore, the solution to the system of equations y = 2x - 4 and y = (-1/2)x + 1 is x = 3 and y = 2.

Learn more about system of equations here

https://brainly.com/question/13729904

#SPJ11

The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

For more such questions on programming visit:

https://brainly.com/question/23275071

#SPJ11

Note : This is a computer science question

A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

To know more about investments, visit:

https://brainly.com/question/31411302

#SPJ11

Answer:

15

Step-by-step explanation:

7x+9=5x+39

7x-5x=39-9

2x=30

30/2=x

x=15