What is the slope of a line with rise down 3 and runleft 5?

The complete expression would be a = b - 7,

Given statement: "a is 7 times less than b" can be expressed in algebraic form as follows : a = b - 7b = a + 7 The above expression is obtained by analyzing the statement word by word as follows :

1. 'a is' implies we have to find the value of 'a'

2. '7 times less' can be written as (b - 7)

3. Therefore, the complete expression would be a = b - 7, which means 'a is 7 times less than b'.

Note that if the given statement was "a is 7 times greater than b", then the algebraic expression would be a = 7b.

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Given the function:

The given function is a linear function

The rate of change of the linear function = the slope of the function

The slope = the coefficient of x = -1/4

So, from the given options, you will select the function that has a slope that is greater than (-1/4)

The average distance the average woman drive is 9885.1 miles

From the question, we have the following parameters that can be used in our computation:

Population = 87 million women

Distance travelled = 860 billion miles

Using the above as a guide, we have the following:

Average distance = Distance travelled/Population

substitute the known values in the above equation, so, we have the following representation

Average distance = 860 billion/87 million

Evaluate

Average distance = 9885.1

Hence, the average woman drive 9885.1 miles

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The measurement of altitude BE is 4 unit.

As the average level of the sea's surface, sea level is used to measure altitude. A high altitude is defined as being significantly higher than sea level, such as Mount Everest. It is referred to as having a low altitude when something is closer to the ground, like a plane coming in to land.

As ABCD is rectangle

AD = BC = 12

ΔABC = ΔBCD

BE = FD

5² = 3²+BE²

AE = 3

BE = √(5²-3²)

BE = 4

Thus, The measurement of altitude BE is 4 unit.

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The mandible is moving and the cusp "moving" with the arrow is in the either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.

Given that;

The mandible is moving and the cusp "moving" with the arrow is in the ?

Now, We know that;

The side of the mandible that moves sideways is referred to as either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.

Thus, The mandible is moving and the cusp "moving" with the arrow is in the either the working or rotating side, while the other side is referred to as either the balancing or orbiting side.

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In the experiment, the subject whose behavior is being assessed are observational units. The observational unit in this instance is Harley (Dog).

We will first investigate if canines can comprehend both non-human and human gestures in this investigation. The dogs were placed around 2.5 meters apart from the experimenter so that the researchers could test this. Two glasses were placed one on either side of the experimenter.

A gesture would be made at one of the cups by either the experimenter (pointing, bowing, or staring) or by a non-human object (a mechanical arm pointing, a doll pointing, or a stuffed animal looking). After then, the scientists would observe whether the dog would approach the cup that was pointed out. Six dogs were put to the test. We'll focus on one of the dogs who participated in both of his trial sets.

The four-year-old mixed breed dog was given the name Harley. Each of the ten trials in a set consisted of one gesture and one pair of cups. In order to see if Harley would approach a particular cup, the experimenter bowed toward it during one round of experiments.

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The area enclosed by the curves y = 3x and \(y = x^2\)  is 13.5 square units (rounded to one decimal place).

To find the area enclosed by the curves y = 3x and \(y = x^2\), we need to find the points of intersection and integrate the difference between the curves with respect to x.

First, we find the points of intersection by setting the two equations equal to each other:

\(3x = x^2x^2 - 3x = 0x(x-3) = 0x = 0 or x = 3\)

So the curves intersect at the points (0,0) and (3,9).

To find the area enclosed between the curves, we integrate the difference between the curves with respect to x from x=0 to x=3:

Area =\(\int\limits (y = x^{2} \ to\ y = 3x) dx\)  from 0 to 3

= \(\int\limits(3x - x^2) dx \ from \ 0 \ to \ 3\)

= \([3/2 x^2 - 1/3 x^3] from 0 to 3\)

= (27/2 - 27/3) - (0 - 0)

= 13.5 square units

Therefore, the area enclosed by the curves y = 3x and \(y = x^2\) is 13.5 square units (rounded to one decimal place).

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Answer:

B. 39.4

Step-by-step explanation:

H is 60, so the new equation would be 60 - 20.6.

60 - 20.6

60.0 - 20.6

The rest of the work is attached.

Answer: 23/72

Step-by-step explanation:

180 degrees = half of circle

5 degrees = 1/72 of circle

5 degrees times 23 = 115 degrees

1/36*23 = 23/72

Answer:

23/72 of a circle

Step-by-step explanation:

4×sector=circle

90÷360=1/4

so,

115/360=23/72

Answer:

• Initial height: A-40cm, B-20cm

• Sapling B

Explanation:

(a)The initial heights of the sapling occur when the value of the x-axis (number of months) is 0.

• The initial height of Sapling A = 40cm

• The initial height of Sapling B = 20cm

(b)To determine the sapling that shows the greater amount of growth, we find the slope of each of the lines.

Sapling A

Using points (0,40) and (3,50)

Sapling B

Using points (0,20) and (2,30)

The slope of the line representing the growth of Sapling B is greater, therefore, Sapling B shows the greater amount of growth during the Number of Months.

Answer:

kiran will take 48 minutes 16 x 3

mai will take 36 minuttes 13 x 3

Step-by-step explanation:

(1) Kiran will take 48 minutes to reach the end of a 12-mile bike path.

(2) Mai will take 36 minutes to reach the end of a 12-mile bike path.

Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

Kiran rides 4 miles every 16 minutes.

Also, Mai rides 4 miles every 12 minutes.

To find the time taken by Kiran and Mai to reach 12 mile bike paths,

Use ratio property,

Time taken by Kiran to ride 4 miles = 16 minutes,

For 1 mile = 4 minutes,

For 12 miles = 12 x 4 = 48 minutes

Time taken by Mai to ride 4 miles = 12 minutes,

For 1 mile = 3 minutes

For 12 miles = 12 x 3 = 36 minutes.

Kiran will take 48 minutes and Mai will take 36 minutes to reach the end of a 12-mile bike bath.

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

36

Step-by-step explanation:

F1 = 1

F2 = 1 + 2

F3 = 1 + 2 + 3

--> The n(th) figure has the number of oranges = the sum of the first n natural numbers, which has the general form:

F(n) = 1 + 2 + 3 + ... + n = n(n+1) / 2

So, 8th figure has:

F(8) = 8.(8+1) / 2 = 8 . 9 / 2 = 36

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

a.375

Step-by-step explanation:

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

\(\sqrt[5]{x^2}\) and \((\sqrt[5]{x} )^2\)

Step-by-step explanation:

They are both correct.

Answer:

A, and B

Step-by-step explanation:

The reason why is because, 2 is still on x. Therefore, while 5 represents the division it stays up in the top left corner.

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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The long-run equilibrium will have five firms, and each firm will have an output of 66.67 units.

Given: The market for Potion is monopolistic competitive.

The market demand is shown as follows:P = 32 - 0.050 Suppose the total cost function for each firm in the market is:C = 125 + 2gFormula used: Long-run equilibrium condition, where MC = ATC.

The market demand is shown as follows:P = 32 - 0.050At the equilibrium level of output, MC = ATC. The firm is earning only a normal profit. Therefore, the price of the product equals the ATC. Thus, ATC = 125/g + 2.

Number of firms in the long run equilibrium can be found by using the following equation: MC = ATC = P/2The MC of the firm can be calculated as follows:

\(MC = dTC/dqMC = 2g\)

Since the market for Potion is monopolistic competitive, the price will be greater than the MC, thus we get, P = MC + 2.5.

Substituting these values in the above equation, we get: 2g = (32 - 0.05q) / (2 + 2.5)2g = 6.4 - 0.01q50g = 12.5 - qg = 0.25 - 0.02qThus, we can calculate the number of firms in the market as follows:Number of firms = Market output / Individual firm's output

Individual firm's output is given by:q = (32 - P) / 0.05 = (32 - 2.5 - MC) / 0.05 = 590 - 40gTherefore, the number of firms in the market is:

Number of firms = (Market output / Individual firm's output)

Market output is the same as total output, which is the sum of individual firm's output. Thus,

Market output = \(n * q = n * (590 - 40g)n * (590 - 40g) = 1250n = 5\)

Output per firm is calculated as follows: q = 590 - 40gq = 590 - 40 (0.25 - 0.02q)q = 600/9q = 66.67The long-run equilibrium will have five firms, and each firm will have an output of 66.67 units.

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Answer:

385$

Step-by-step explanation:

30% off of 600 is 180. 600-180=420. Then, 35$ off would be 385.

Answer:

hope this is the correct figure for your question

First find height using Pythagorean theorem.

\(h^2+4^2=13^2\implies h=\sqrt{153}\approx12.37\).

Then use cone surface area formula and compute the result:

\(A=\pi r(r+\sqrt{h^2+r^2})\approx\boxed{68\pi}\mathrm{units^2}\).

Hope this helps.

Answer:

-25 percent well I think this is the way I do it

Answer:

16

Step-by-step explanation:

36 t^2 comes from   6t

 so we have

   (6t -    )^2       the middle term will be represented by

                               2 x m x 6t   =  -48 t

                                    so m = -4

(6t-4)^2      would result in ' * '  = +16

The total cost if Wacky Widget Company makes 230 widgets is $31,600.

The total cost is the sum of the rent (fixed cost) and the variable costs. The variable costs includes the cost of materials and labor.

Total cost = rent + (cost of labor and materials x number of widgets)

$4000 + [(77 + 43) x 230]

$4000 + (120 x 230)

$4000 + $27,600

= $31,600

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The total cost if Wacky Widget Company makes 230 widgets is $31,600 if each widget requires $77 worth of materials and $43 worth of labor.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

The Wakey Widget Company is planning to produce widgets. The company has rented space for its manufacturing operation at $4,000 per month.

Let's suppose the total cost is $x

We can frame a linear equation in one variable:

x = 4000 + 77x230 + 43x230

x = 4000 + 17710 + 9890

x = $31,600

Thus, the total cost if Wacky Widget Company makes 230 widgets is $31,600 if each widget requires $77 worth of materials and $43 worth of labor.

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\(\Large\maltese\underline{\textsf{A. What is Asked}}\)

What is the absolute value of -6.2? It's _____________.

\(\Large\maltese\underline{\textsf{B. This problem has been solved!}}\)

No matter what the number is, its absolute value is always positive.

The number -6.2 is not an exception, there's nothing special about that number. Its absolute value is also positive.

\(\cline{1-2}\)

\(\bf{Result:}\)

              \(\bf{=6.2}\)

\(\LARGE\boxed{\bf{aesthetic \not1 \theta l}}\)

The absolute value of -6.2 is 6.2 (option 1).

The absolute value of a number represents its distance from zero on the number line, regardless of its sign. For the value -6.2, the distance from zero is 6.2 units. Therefore, the correct answer is 1. 6.2. Option 1 accurately reflects that the absolute value of -6.2 is indeed 6.2.

The other options (2. 6, 3. 7, and 4. -6) do not accurately represent the absolute value of -6.2. The absolute value operation ensures that the result is always a positive value, showing how far a number is from zero. In this case, the absolute value of -6.2 is 6.2.

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Answer: 60 degrees

Step-by-step explanation: We know that a straight line is 180 degrees. W have been give 120 degrees for one side. 180-120=60

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

\( = \sqrt{40} \)

Simplify the radical expression

\( = \sqrt{2 \times 2 \times 10} \)

\( = 2 \sqrt{10} \)

Hope this helps...

Best regards!!