Find x:


wx +4y = 2x -7
zx = h/x



Find the equation of the line joining (-2,4) and (-1,3)

Answer:

The Circumcenter

Step-by-step explanation:

The constant rate of change and initial value for the given graph are 40 and 20 respectively. the initial value might represent the fixed cost of the soil.

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference. The negative slope indicates the rate of decrease while the positive shows the rate of increase.

The given problem can be solved as follows,

(a) The graph given is a straight line that passes through (0, 40) and (10, 240).

The constant rate of change is equivalent to the the slope of the line given as,

⇒ (240 - 40)/(10 - 0) = 20

(b) The initial value of the graph is given as the y-intercept of the line.

Which is given as 40.

It might represent the fixed cost.

Hence, the constant rate of change is given as 40 and the initial value is 20 which might represent the fixed cost.

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The missing graph is attached here.

Answer:

6x+y=30

-9x+3y=-18

Solving by substitution means that you have to express one of the variables (from one the equations) through the other one and substitute in the second equation.

In this example it is easier to express y through x in the first equation: y=30-6x. Put the expression for y in the second equation and solve for x.

-9x+3(30-6x)=-18 (divide by -3)

3x-30+6x=6

9x=36

x=4,  

y=30-6x=30-24=6

Step-by-step explanation:

The exact value of the expression 5/6 + 2/3 - 12/35 × 7/9 is 86/70, which can also be simplified to 43/35.

To find the exact value of the expression 5/6 + 2/3 - 12/35 × 7/9, we need to follow the order of operations (PEMDAS/BODMAS) and perform the calculations step by step.

First, let's simplify the multiplication:

12/35 × 7/9 = (12 × 7) / (35 × 9) = 84/315

Now, we can rewrite the expression as:

5/6 + 2/3 - 84/315

Next, we need to find a common denominator for the fractions. The least common multiple of 6, 3, and 315 is 630.

Now, let's convert the fractions to have a common denominator of 630:

(5/6) × (105/105) = 525/630

(2/3) × (210/210) = 420/630

84/315 × (2/2) = 168/630

Now, we can rewrite the expression with the common denominator:

525/630 + 420/630 - 168/630

Now, we can combine the numerators:

(525 + 420 - 168) / 630 = 777/630

To simplify the fraction further, we can divide both the numerator and denominator by their greatest common divisor (GCD). The GCD of 777 and 630 is 9.

Dividing both the numerator and denominator by 9, we get:

777/630 = (9 × 86)/(9 × 70) = 86/70.

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Answer:

Step-by-step explanation:

3-1

Answer:

m<ABE = 109°

Step-by-step explanation:

Since the two chords intersect, we would have the following:

m<ABE = ½(Arc AE + Arc DC)

Substitute

m<ABE = ½(180° +38°)

m<ABE = ½(218)

m<ABE = 109°

Answer:

I think it's the first answer

When car travels with average velocity 80km/h for 2.5h answer of the following question are,

1. a. Total Displacement for given velocity = 260km

b. Average velocity is 65km/hr.

2. a. Speed of car at t= 1s is 45.002778 km/h and at t= 2s is 45.005556 km/h.

b. Speed at general time t is  45 km/h + 10 km/h² × (t/3600) h

3. The object has traveled a distance of 50 meters.

4. Average Velocity ≈ 22.38 m/s

1. a) To calculate the total displacement, we need to add up the individual displacements for each leg of the trip.

The displacement formula,

Displacement = Average Velocity × Time

For the first leg of the trip,

Displacement1 = 80 km/h × 2.5 h

                         = 200 km

For the second leg of the trip,

Displacement2 = 40 km/h × 1.5 h

                         = 60 km

Total displacement for the 4-hour trip,

Total Displacement

= Displacement1 + Displacement2

= 200 km + 60 km

= 260 km

b) The average velocity for the total trip formula,

Average Velocity = Total Displacement / Total Time

Since the total time is 4 hours, calculate the average velocity,

Average Velocity

= 260 km / 4 h

= 65 km/h

The car's initial velocity is 45 km/h, and it accelerates at a constant rate of 10 km/h²

a) To find the car's speed at t = 1 s, use the formula,

Speed = Initial Velocity + Acceleration × Time

At t = 1 s,

Speed at t = 1 s

= 45 km/h + 10 km/h²× (1/3600) h

= 45 km/h + 0.002778 km/h

= 45.002778 km/h

At t = 2 s,

Speed at t = 2 s

= 45 km/h + 10 km/h² × (2/3600) h

= 45 km/h + 0.005556 km/h

= 45.005556 km/h

b) The speed at a general time t can be found using the formula,

Speed = Initial Velocity + Acceleration × Time

Since the acceleration is constant at 10 km/h², the speed at a general time t can be expressed as,

Speed at time t

= 45 km/h + 10 km/h² × (t/3600) h

Use the equation of motion,

Speed² = Initial Velocity² + 2 × Acceleration × Distance

The initial velocity is 5 m/s, the speed is 15 m/s,

and the acceleration is 2 m/s²,

Plug in the values into the equation,

(15 m/s)²

= (5 m/s)² + 2 × 2 m/s² × Distance

225 m²/s² = 25 m²/s²+ 4 m/s² × Distance

200 m²/s² = 4 m/s² × Distance

Distance

= 200 m²/s² / 4 m/s²

= 50 m

To find the time it takes for the particle to travel 100 m,

use the equation of motion,

Distance = Initial Velocity × Time + 0.5 × Acceleration × Time²

The initial velocity is 0 m/s and the acceleration is 10 m/s²,

Rearrange the equation to solve for time,

100 m = 0.5 × 10 m/s² × Time²

⇒200 m = 10 m/s² × Time²

⇒Time² = 200 m / 10 m/s²

              = 20 s

⇒Time = √(20 s)

           = 4.47 s (approximately)

The velocity when it has traveled 100 m can be found using the equation,

Velocity = Initial Velocity + Acceleration × Time

Velocity = 0 m/s + 10 m/s² × 4.47 s

             ≈ 44.7 m/s

The average velocity for this time can be calculated using the formula,

Average Velocity = Total Distance / Total Time

Since the total distance is 100 m and the total time is 4.47 s,

Average Velocity = 100 m / 4.47 s ≈ 22.38 m/s

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Oil changes is approximately 73,588.6 hours, assuming the truck is well-maintained and driven under normal conditions.

To calculate the predicted time before the first engine overhaul for the given truck, we can use the concept of engine life or engine durability, which is the expected life span of an engine before it needs to be overhauled or replaced.

The engine life of a truck depends on several factors, such as the manufacturer's specifications, maintenance practices, driving conditions, and load capacity.

Assuming that the truck is well-maintained and driven under normal conditions, we can estimate the engine life using the following steps:

Calculate the total number of hours the engine has been running per year:

Number of hours = (Miles per year) / (Average driving speed)

Number of hours = 64,000 miles / 53 mph = 1207.55 hours per year

Calculate the number of oil changes per year:

Number of oil changes per year = (Miles between oil changes) / (Miles per year)

Number of oil changes per year = 21,000 miles / 64,000 miles = 0.3281 oil changes per year

Calculate the average number of hours between oil changes:

Average hours between oil changes = (Number of hours per year) / (Number of oil changes per year)

Average hours between oil changes = 1207.55 hours / 0.3281 oil changes per year = 3679.43 hours per oil change

Estimate the engine life based on the load capacity and average hours between oil changes:

Engine life = (Load capacity in tons) * (Average hours between oil changes) / 1000

Engine life = 20 tons * 3679.43 hours per oil change / 1000 = 73,588.6 hours

Therefore, the predicted time before the first engine overhaul for the given truck driven 64,000 miles per year with an average load of 20 tons, an average driving speed of 53 mph, and 21,000 miles between oil changes is approximately 73,588.6 hours, assuming the truck is well-maintained and driven under normal conditions.

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There would be 17 lattice points lie on the hyperbola x²-y²=17

To find the lattice points on the hyperbola x²-y²=17, we can use some algebraic manipulation. First, we can rewrite the equation as y²=x²2-17, which means that both x² and y^2 must be integers.

Next, we can note that x² can only take on values that are congruent to 0 or 1 mod 4, since the only possible quadratic residues mod 4 are 0 and 1. This means that x must be an even integer or an odd integer that is ± 1 mod 4.

For each possible value of x, we can then solve for y by taking the square root of x²-17. However, we must be careful to only include the solutions where y is also an integer. This means that x²-17 must be a perfect square.

Using this method, we can check each possible value of x and find that the only lattice points on the hyperbola are (± 5, ± 2) and (± 4, ± 1). Therefore, there are a total of eight lattice points on the hyperbola x²-y²=17.

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The probability that the next coin flip will yield a head is 50%, as each coin flip has an equal chance of landing either heads or tails.

Probability is an incredibly important concept to understand in our everyday lives. Understanding probability helps us make informed decisions about the chances of something happening. For example, when playing a game of chance, understanding probabilities can give us a better idea of the likelihood of winning or losing. Knowing the probability of an event happening can also help us make decisions in other areas of life, such as investing.

In the context of coin flipping, it is important to remember that the probability of a coin landing on heads or tails is always 50%. This means that no matter how many times the coin is flipped and no matter what the previous outcome, the probability of the next flip being heads or tails remains the same. This concept is the basis of probability theory, which can be applied to many other areas of life.

Understanding probabilities is also useful in understanding the chances of certain events occurring in the world. For example, understanding the probability of an earthquake happening in a certain area can help us make decisions about where to live or how to prepare for a potential disaster. Similarly, understanding the probability of a successful business venture can help us decide whether or not to invest in it.

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Answer:

D

Step-by-step explanation:

Linear equations

Apply the multiplicative law of distribution.

Rearrange the unknown terms on the left side of the equation.

Combine as terms

Calculate the sum or difference.

Divide both sides of the equation by the coefficient of the variable.

The answer is x = - 9/4. Because if we do the division, the result is not exact; means that the result is decimal.

Answer:

x = -9/4

Step-by-step explanation:

2(5x+3)=6x-3

10x + 6 = 6x - 3

10x - 6x = -3 - 6

4x = -3 - 6

4x = -9

The answer is x = -9/4

Answer:

Neither of them are right

Step-by-step explanation:

First, let's actually solve this equation:

8 ( x - 5 ) = 8x + 40

Distribute on the left:

8 ( x - 5 )

( 8 x X ) + ( 8 x ( -5 ) )

8x - 40

8x - 40 = 8x + 40

Add 40 to each side:

8x = 8x + 80

Subtract 8x from both sides:

0 = 80

0 ≠ 80

There are no solutions to the equation

Answer:

joe    

joe mama

++

Step-by-step explanation:

Answer:

10/33

Step-by-step explanation:

2 red discs + 5 pink discs + 4 purple discs = 11 discs

The chance of pulling a pink disc is 5/11

On a 6 sided dice, there are 6 numbers, 4 are greatee than 2. So the chance of rolling a number greater than 2 is 4/6.

5/11 × 4/6 = 20/66 = 10/33

Answer: T= 1

Step-by-step explanation:

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

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Answer:

D

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

A. |−4| < 3 = 4 < 3

B. |−4| < |3| = 4 < 3

C. |−3| < −4 = 3 < −4

D. |−3| < |−4| = 3 < 4

Answer to all the parts are as x , x , 1/8 , 4 the inverse function can be calculated as.

What is inverse function?

An inverse function or an anti function is outlined as a function, which may reverse into another perform. In straightforward words, if any perform “f” takes x to y then, the inverse of “f” can take y to x. If the perform is denoted by ‘f’ or ‘F’, then the function is denoted by f⁻¹or F⁻¹.

Main body:

To determine the inverse of function f(x) , we normally change the the function in terms of other variable in this case y .

So first we need to switch x and y. and then solve for y.

Initial equation :

f(x) = \(\sqrt[3]{8x} -4\)

y =\(\sqrt[3]{8x} -4\)

y + 4= \(\sqrt[3]{8x}\)

\((y+4)^{3}\) = 8x

(1/8)*\((y+4)^{3}\) = x

hence the value for the inverse function is as follows.

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Answer:

I believe D is the answer

Step-by-step explanation:

how I find the slope it by looking at the y-axis and what hits directly on that line. you can see that 3 hits directly on that line so the b in y=mx+b is three which is your starting point. then you follow the line and see where it hits directly on a point. then count the blocks. remember that it's rise over run so that's y over x. so you go down five and over one. since you go down five it's negative. the negative is only added onto the five not the one. and since it's five over one, you don't need to put the over one, it's just automatically there. hope this helps! good luck!

Answer:

x<4

Step-by-step explanation:

5x-18>2(4x-15)

5x-18> 8x-30

-18>3x-30

12>3x

4>x

x<4

Answer:

£12,362.70

Step-by-step explanation:

I used the compound interest formula to work this out.

£12,000 (original amount) x 1.015²

1.015 = 1.5% --- squared because the investment was 2 years.

Hope this helps :D

The diver has to travel approximately 69.28 meters to reach the wreckage of the ship.

The problem involves finding the horizontal distance that a diver has to cover to reach the wreckage of a ship after a rescue boat detects the signal at an angle of depression of 30°. The diver descends 40 meters to the seafloor.

The concept of trigonometry is useful in solving the problem. Here are the steps to solve the problem:

Step 1: Draw a diagram that represents the problem.

Step 2: Let the horizontal distance that the diver has to travel be "d".

Step 3: Let the angle of depression be "θ". From the diagram, we can see that tan θ = d / 40m.

Step 4: Substitute the value of θ and solve for "d".tan 30° = d / 40m1 / √3 = d / 40m√3d = 40m√3d ≈ 69.28 meters

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Answer:

10 feet, option D

Step-by-step explanation:

Got it right on my test.

Answer:

Simple, \(1/8=2/5x\) so \(1/8/2/5=x\) would become \(x=1/20\), which is equal to 2/40 :)

Step-by-step explanation:

Answer:

#1

mean=7

median=8

range=9

mode=3

#2

mean=15

mode=17

range=14

median=14

#3

mean=11

mode=none

range=10

median=4.5

#4

mean=6

mode=4

range=13

median=4

Step-by-step explanation:

there you go, I think that's right but it's been awhile since I've had to do mode mean median and range

Answer: Get a snack.

Answer:

z = -3

Step-by-step explanation:

Simplifying

3z + -3 = 2z + -6

Reorder the terms:

-3 + 3z = 2z + -6

Reorder the terms:

-3 + 3z = -6 + 2z

Solving

-3 + 3z = -6 + 2z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-2z' to each side of the equation.

-3 + 3z + -2z = -6 + 2z + -2z

Combine like terms: 3z + -2z = 1z

-3 + 1z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0

-3 + 1z = -6 + 0

-3 + 1z = -6

Add '3' to each side of the equation.

-3 + 3 + 1z = -6 + 3

Combine like terms: -3 + 3 = 0

0 + 1z = -6 + 3

1z = -6 + 3

Combine like terms: -6 + 3 = -3

1z = -3

Divide each side by '1'.

z = -3

Simplifying

z = -3

Answer:

=3z+3=2z+6

=3z-2z=6-3

=z=3

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The dimensions of the rectangle are width = 8 inches and length = 12 inches if its area is 96 square inches.

Let's denote the width of the rectangle as x inches. According to the given information, the length of the rectangle will be (x + 4) inches since it exceeds the width by 4 inches.

The formula for the area of a rectangle is length multiplied by width. We know that the area is 96 square inches, so we can set up the following equation:

Area = Length × Width

96 = (x + 4) × x

To solve this quadratic equation, we can rearrange it and set it equal to zero:

x² + 4x - 96 = 0

Now we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, we can factor the equation:

(x + 12)(x - 8) = 0

Setting each factor equal to zero gives us two possible solutions:

x + 12 = 0

x = -12 (ignore negative value since dimensions cannot be negative)

x - 8 = 0

x = 8

Therefore, the width of the rectangle is 8 inches. Since the length exceeds the width by 4 inches, the length will be (8 + 4) = 12 inches.

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Answer:

the length is 12 inches where as the width is 8 inches

Step-by-step explanation:

assume that the width is x and since its length exceeds in by 4, we can assume that its lenght is x+4 and the area ia 96 so

(x)(x+4)=96

x^2+4x=96

x^2+4x-96=0 hence now we have a quadratic equation

the factors are + 12 and -8

hence,

x^2+12x-8x-96=0

x(x+12)-8(x+12)=0

take (x+12) common

(x-8)(x+12)=0

now lets find the two solutions

x-8=0

x=0+8

x=+8

x+12=0

x=0-12

x=-12

we'll consider +8 only as the length width or height of any shape can't be in negative so lets put 8 into the orignal equation

(x)(x+4)

=(8)(8+4)

=(8)(12)

=96 and so it works

the length is 12 inches where as the width is 8 inches