how long would a line of a million cars be if the average length 9.14 feet

The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

\((x+12)^2+(y-5)^2=80\)

Step-by-step explanation:

First, we see that the center of the circle is (-12, 5) by taking the midpoint of the circle. Secondly, the length of diameter is \(\sqrt{4^2+8^2}=\sqrt{80}\).

The equation of a circle with diameter endpoints of (-14,1) and (-10,9) are;

(x+1)²+(y-4)²=348.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

Find the distance AB

d=√[(9 + 14)²+(-10 - 1)²]

d=√[576+121]

d=√697 units

The diameter=√697 units

r=√697/2  unit

Thus, the center of the circle is (-1,4)

Hence, the equation of a circle

(x-h)²+(y-k)²=r²

(x+1)²+(y-4)²=(√697/2)²

(x+1)²+(y-4)²=348

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The formula for this linear function is f(x) = mx + b, where m is the slope (in this example, -350), and b is indeed the y-intercept (750,000 in this case).

An equation expressing the connection between the expressions on either side of a sign. Normally, it has an equal sign and just one variable. such as: 2x - 4 is equal to 2. The variable x is present in the example above.

Workers who complete the computer security course will each receive a reimbursement of $350.

We deduct $350x from of the initial $750,000 to determine how much money will remain inside the education fund once x employee gets the reimbursement.

Thus, f(x) = 750,000 - 350x is the equation again for function that describes that amount of money still in the fund when x employees receive the refund.  

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Answer:

Step-by-step explanation:

After gaining 2.3 ounces, the weights of the kittens are 5.9 ounces, 6.5 ounces, and 5.6 ounces, respectively.

To determine the weights of the kittens after gaining 2.3 ounces, we need to add this amount to their initial weights.

The initial weights of the kittens were 3.6 ounces, 4.2 ounces, and 3.3 ounces. Adding 2.3 ounces to each of these weights, we have:

Kitten 1: 3.6 + 2.3 = 5.9 ounces

Kitten 2: 4.2 + 2.3 = 6.5 ounces

Kitten 3: 3.3 + 2.3 = 5.6 ounces

It's worth noting that these calculations assume that all kittens gained the same amount of weight. In reality, weight gain can vary between individuals, and other factors such as health and nutrition can also influence weight. The given information provides a simplified scenario for calculating the weight changes based on a uniform weight gain of 2.3 ounces.

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When a line is bisected, the line is divided into equal halves.

See below for the proof of \(\mathbf{KE \cong FD}\)

The given parameters are:

By definition of segment bisection, we have:

By definition of congruent segments, the above congruence equations become:

By segment addition postulate, we have:

Substitute \(\mathbf{ED = EF + FD}\) in \(\mathbf{CE = ED}\)

\(\mathbf{CK + KE = EF + FD}\)

Substitute \(\mathbf{CK = KE}\) and \(\mathbf{EF = FD}\)

\(\mathbf{KE + KE = FD + FD}\)

Simplify

\(\mathbf{2KE = 2FD}\)

Apply division property of equality

\(\mathbf{KE = FD}\)

By definition of congruent segments

\(\mathbf{KE \cong FD}\)

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Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

Answer:

58 ft squared.

Step-by-step explanation:

The formula for area of a trapezoid is (h/2)(b1 + b2). Let's plug in the values:

(4/2) * (12+17) = 2 * 29 = 58ft^2.

There will be roughly 12,000 bacteria after 12 hours.

So, there are 5300 bacteria  and it gets doubles in 10 hours:

Then,

Therefore, there will be roughly 12,000 bacteria after 12 hours.

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Based on the information, there are 25 cars with good brakes and good tires.

Total cars = 50

Cars with faulty brakes = 10

Cars with faulty tires = 15

Cars with faulty brakes and good tires = 2

Let's calculate the number of cars with good brakes and good tires:

Cars with faulty brakes or faulty tires = Cars with faulty brakes + Cars with faulty tires - Cars with faulty brakes and good tires

= 10 + 15 - 2

= 25

Cars with good brakes and good tires = Total cars - Cars with faulty brakes or faulty tires

= 50 - 25

= 25

Therefore, there are 25 cars with good brakes and good tires.

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Answer:

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

Step-by-step explanation:

Given - A large tank is filled to capacity with 400 gallons of pure water. Brine containing 3 pounds of salt per gallon is pumped into the tank at a rate of 4 gal/min. The well-mixed solution is pumped out at a rate of 8 gals/min.

To find - Find the number A(t) of pounds of salt in the tank at time t.

Proof -

Given that,

Capacity of water = 400 gallons

rate in flow = 4 gal/min

rate out flow = 8 gal/min

Concentration in = 3 lbs/gal

Concentration out = (Amount of salt at time t )/ (Solution in tank at time t)

Now,

Let

A(t) = Amount of salt in the tank at time t

Now,

Initially tank has 400 gallons of water, So

A(0) = 0 ................(1)

Now,

Rate of change in the amount of salt = \(\frac{d}{dt} A(t)\)

                                                             = (Rate in flow )( Concentration In) - (Rate out flow )( Concentration out)

                                                             = (4) (3) - (8) (\(\frac{A(t)}{400 - 4t)}\)

                                                             = 12 - \(\frac{2A(t)}{100 - t)}\)

⇒\(\frac{d}{dt} A(t)\) + \(\frac{2A(t)}{100 - t)}\) = 12

Now,

Integrating Factor, I.F = \(e^{\int {\frac{2}{100 - t} } \, dt }\)

                                    = \(e^{-2ln(100 - t)}\)

                                    = (100 - t)⁻²

⇒I.F = (100 - t)⁻²

The solution becomes

A (I.F) = ∫ (I.F)(12) dt + C

⇒A (100 - t)⁻² = ∫12(100 - t)⁻² dt + C

⇒A (100 - t)⁻² = -12(100 - t)⁻¹ (-1) + C

⇒A(t) = \(12(100 - t)+ C(100 - t)^{2}\)

Now,

We have A(0) = 0

⇒C = -12/100

∴ we get

A(t) = 12(100 - t) - \(\frac{12}{100}\) (100 - t)²

     = 12(100 - t) [ 1 - \(\frac{100 - t}{100}\) ]

     = 12(100 - t) (\(\frac{t}{100}\))

     = \(\frac{3t(100 - t)}{25}\)

⇒A(t) = \(\frac{3t(100 - t)}{25}\)

∴ we get

The number A(t) of pounds of salt in the tank at time t = \(\frac{3t(100 - t)}{25}\)

Answer:

y = -7x + 2

Step-by-step explanation:

Answer:

60 dollars

Step-by-step explanation:

if there is a 60 dollar bill he will pay 60 dollars

Answer:

it equals -29

Step-by-step explanation:

hope this helps

Answer:

Equilateral triangle

Step-by-step explanation:

When all sides of a triangle are equal or all angles of the triangle are 60 degree then the triangle is called an equilateral triangle

The integers in the set s: {-2,-3,-4,-5} will make the inequality 4p-7 \(\geq\) 9p+8 true are : -3, -4, -5

Let's solve the inequality first

4p -7 \(\geq\)  9p  +8

Taking p's on the same side we will get :

-7 - 8 \(\geq\) 9p - 4p

-15 \(\geq\) 5p

Divide by 5 into both sides

-3 \(\geq\) p

i.e. p \(\leq\) -3

Therefore p must be less than or equal to -3

From the set, we have the numbers -3,-4,-5 which are less than or equal to -3

Hence the integers -3,-4,-5 will make the  inequality 4p-7 \(\geq\) 9p+8 true

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The dimensions of the box packing the 36 basketballs are 88.5 inches (length) × 88.5 inches (width) × 118 inches (height).

To determine the dimensions of the box, we need to consider the arrangement of the basketballs and their diameter.

Given that there are 36 basketballs in a 3 × 3 × 4 formation, this means there are 3 basketballs stacked in the length, 3 basketballs stacked in the width, and 4 basketballs stacked in the height within the box.

Let's consider the length first.

Since there are 3 basketballs stacked in the length, and each basketball has a diameter of 29.5 inches, the length of the box can be calculated as:

Length = 3 × 29.5 inches = 88.5 inches

Next, let's consider the width.

Similarly, since there are 3 basketballs stacked in the width, the width of the box is:

Width = 3 × 29.5 inches = 88.5 inches.

Finally, let's consider the height.

With 4 basketballs stacked in the height, the height of the box is:

Height = 4 × 29.5 inches = 118 inches

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3+26+28 = 57

chance of gold is 3/57

chance of silver = 26/57

chance of black = 28/57

the expected value of playing this game = a weighted average of the winnings (or losses) multiplied by the odds of winning: (3/57)3  +  (26/57)2 + (28/57)(-1) = 9/57 + 54/57 - 58/57 = 60/57 -58/17 = 2/57 = about 0.578 winnings = $0.578 = 0.58 cents

You will win 0.58 cents each time you play this game, on average.

but the mode is on black.  You're more likely to lose (28/57)(-1) about 0.49 cents on your first time to play

but if you stick it out, and play enough times, you'll average 0.58 cents a game

Answer:

7/8 x 5/1 = 35. 35/8= 4.375 is less than 5

Step-by-step explanation:

Answer:

Greater

Step-by-step explanation:

If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7

If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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Answer:

\(Y=-\frac{1}{3} + 6\)

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Answer:

13 in.

Step-by-step explanation:

First figure out the length of the diagonal of the base.

3²+4²=c²

9+16=c²

25=c²

√25=c

c=5

Now we can figure out the stick using the same method.

5²=12²=c²

25+144=c²

169=c²

√169=c

c=13

Answer:

SA = 62 cm2

Step-by-step explanation:

The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

The total surface of the cuboid = 2(LB+BH+HL)

Consider that the length, width, and height of the cuboid are L, B, and H.

The cuboid is given in the question

Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.

The surface area of the cuboid = 2(LB+BH+HL)

Here L = 3 cm, B = 5 cm, and H = 2 cm

Substitute the values in the above formula, and we get

The surface area of the cuboid = 2(3 × 5 + 5 × 2  + 2 × 3)

The surface area of the cuboid = 2(15 + 10 + 6)

The surface area of the cuboid = 2(31)

The surface area of the cuboid = 62 cm²

Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

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