Question 3 1 pt 1 Given 4 < f'(x) < 8 for all values of x. Determine the possible range of possible values for f(1) - f( - 6) using mean value theorem. The minimum possible value for f(1) – f( – 6): the maximum possible value for f(1) – f( – 6):

Answer:

100% of 600 is 600

Step-by-step explanation:

Answer:

600 is the correct answer

Step-by-step explanation:

thanks

Answer:

The x-variable

Step-by-step explanation:

if the first equation is multiplied by 3. The second one multiplied by 2, then. x-variable will be cancelled out

The main effects of the independent variables, and failing to consider them can lead to incomplete or incorrect conclusions about the relationships between variables.

When researchers are interested in whether the effect of the original independent variable on a dependent variable depends on the level of another independent variable, they are interested in the concept of an interaction effect. An interaction effect occurs when the effect of one independent variable on dependent variable changes depending on the level of another independent variable.

In other words, the effect of one independent variable is different at different levels of the other independent variable. Interactions are important to consider because they can change the interpretation of the main effects of the independent variables, and failing to consider them can lead to incomplete or incorrect conclusions about the relationships between variables.

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The statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value. That is option D.

From the graph, the maximum value is =0.5 while the minimum value cannot be determined.

From the table the maximum value is -3 while the minimum value is -24.

Therefore, the statement that is true concerning the function of the table compared to the graph is that the graphed function has a greater maximum value.

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A company pays $5,000 for equipment. The book value of the equipment at the end of Year 2 will be $4,000.

The book value of an asset can be calculated by subtracting the accumulated depreciation from the initial cost of the asset.

Given:

Initial cost of the equipment = $5,000

Annual depreciation = $500

After Year 1, the accumulated depreciation would be $500.

So, the book value at the end of Year 1 would be:

Book value at the end of Year 1 = Initial cost - Accumulated depreciation

Book value at the end of Year 1 = $5,000 - $500 = $4,500

After Year 2, the accumulated depreciation would be $500 + $500 = $1,000 (since depreciation is $500 per year).

So, the book value at the end of Year 2 would be:

Book value at the end of Year 2 = Initial cost - Accumulated depreciation

Book value at the end of Year 2 = $5,000 - $1,000 = $4,000

Therefore, the book value of the equipment at the end of Year 2 is $4,000. Hence, the correct answer is option a. $4,000.

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Answer:

648

Step-by-step explanation:

36/45=0.8

810x0.8=648

Answer:

its 10.5 cm

Step-by-step explanation:

its what I got off of khan

The base area of the oblique triangular prism is 10.5 square cm

The volume is given as:

Volume = 63 cubic cm

The height of the prism is:

Height = 6 cm

The base area of the prism is then calculated using:

Area = Volume/Height

So, we have:

Area = 63/6

Evaluate

Area = 10.5

Hence, the base area of the triangular prism is 10.5 square cm

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Answer:

try 1239128981441231241

Step-by-step explanation:

myra

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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point coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

Given that,

We have to find what are the endpoint coordinates for the middle portion of the parallel to PQ segment of the PQR.

We know that,

First we write the co-ordinates of the triangle in the given graph.

P is (-3,3)

Q is (2,1)

R is (-4,-2)

The triangle's midpoint, which is parallel to section PQ, must be located. As a result, we would need to locate the midpoints of the segments PR and QR before joining the points to obtain the mid segment.

Midpoint Formula is

(x₁+x₂/2, y₁+y₂/2)

So,

The midpoint of the side PR is

(-3+(-4)/2, 3+(-2)/2)

(-3-4/2, 3-2/2)

(-7/2,1/2)

So, S point is (-3.5, 0.5)

The midpoint of the side QR is

(2+(-4)/2, 1+(-2)/2)

(2-4/2, 1-2/2)

(-2/2,-1/2)

So, T point is (-1, -0.5)

Therefore, The endpoint coordinates for the mid segment of the parallel to PQ segment of the PQR is ST point is (-3.5, 0.5) and (-1, -0.5).

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Answer: C

Step-by-step explanation:

The area of the larger square is a^2 and the area of the smaller square is b^2, so the area is a^2 + b^2, not (a+b)^2.

The width of the rectangle is 12/5 feet or 2.4 feet.

Let's denote the width of the rectangle as 'w'.

We know that the length of the rectangle is 5/6 feet and the area is 2 square feet.

The formula for the area of a rectangle is:

Area = Length × Width

Plugging in the given values, we have:

2 = (5/6) × w

To find the width, we can solve this equation for 'w'.

Multiplying both sides of the equation by 6/5 (the reciprocal of 5/6), we get:

2 × (6/5) = (5/6) × w × (6/5)

12/5 = w

So, the equation representing the solution is:

w = 12/5

Therefore, the width of the rectangle is 12/5 feet or 2.4 feet.

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The simplified expression is 54.

To simplify the expression 75 - 3 • 7 + 12 ÷ 2, we need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

1. Start by performing any operations inside parentheses (there are none in this case).

2. Next, perform any exponents (there are none in this case).

3. Then, perform any multiplication or division, working from left to right. In this case, we have 3 • 7 and 12 ÷ 2.

3 • 7 = 21

12 ÷ 2 = 6

Finally, perform any addition or subtraction, working from left to right. In this case, we have:

75 - 21 + 6 = 54

Therefore, the simplified expression is 54.

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Answer:

1: $92000 2: 52000 + 4000t= current salary

Step-by-step explanation:

1: simple arithmetic, 52000 + 4000(10)=92000

2: equation is formed as InitialSalary + 4000*(years at company) = New Salary

or with other variables, 52000+4000*t=N

Answer:

The radius of the container is 2 centimeter

Step-by-step explanation:

Given that a container of candy is shaped like a cylinder

Given that volume = 125.6 cubic centimeters

Height of conatiner = 10 centimeter

To find: radius of the container

We can use volume of cylinder formula and obatin the radius value

The volume of cylinder is given as:

Where "r" is the radius of cylinder

"h" is the height of cylinder and  is constant has value 3.14

Substituting the values in formula, we get

Taking square root on both sides,

Thus the radius of the container is 2 centimeter

Answer:

( x + 4 )^2 + ( y - 15 )^2 = 1; Option A

Step-by-step explanation:

~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~

1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:

( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2

2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2

3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.

Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1

The area of Kite PQRS at the right is concave. If we have PQ = QR = 20, PS= SR= 15, and QS = 7 is  220 square units

First, we can find the length of the diagonal PR using the Pythagorean theorem:

PR² = PQ² + QR² = 20² + 20² = 800

PR = sqrt(800) ≈ 28.28

Similarly, we can find the length of the diagonal QS:

QS² = QR² + RS² = 20² + 15² = 625

QS = sqrt(625) = 25

Now, we can split the kite into two triangles, PQS and QRS, and use the formula for the area of a triangle:

area of PQS = (1/2) * PQ * QS = (1/2) * 20 * 7 = 70

area of QRS = (1/2) * QR * RS = (1/2) * 20 * 15 = 150

So the total area of the kite is:

area of PQRS = area of PQS + area of QRS = 70 + 150 = 220

Therefore, the area of kite PQRS is 220 square units

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Answer:

2 hours

Step-by-step explanation:

9.6/(60/5 x 0.4) = 2 hours

/ = divide

x = multiply

Answer: He is not correct because when simplifying an expression, you can only add like terms together.  

Step-by-step explanation:

you are given the expression: x^2 + 4x - 2x

when simplifying an expression, you can only add/subtract like terms (terms that have the same variable which are raised to the same power).

in the expression, you can only subtract 4x - 2x because they have like terms/the same variable.

you cannot add x^2 to 4x because x^2 and x are NOT like terms/the same variable. (If 4x was 4x^2, then you would be able to add them together.

meaning the simplified expression should be: x^2 + 2x and not 3x^2

Answer:

its an acute angle

Step-by-step explanation:

its an acute angle be cause its small than a right angle

Answer:

angle AED =  70 degrees

angle x = 10 degrees

Step-by-step explanation:

since angle ABD = 110 degrees, major arc AED = 2(110) = 220 degrees

since angle ADB = 40 degrees, minor arc AB = 2(40) = 80 degrees

minor arc BD = 360 - 220 - 80 = 60 degrees

arc AB + arc BD = arc ABD

arc ABD = 80 + 60 = 140 degrees

angle AED = 1/2 (140) = 70 degrees

angle EAD = angle AED because isosceles

arc ED = 2(70) = 140 degrees

arc AE = arc AED - arc ED = 80 degrees

angle x = 1/2(arc AE - arc BD) = 1/2(80 -60) = 10 degrees

The profit calculations provided include information on marginal revenue (MR), market price, marginal cost (MC), total revenue, quantity, and total cost. The market price is stated as $30.00, while the marginal cost is slightly higher at $30.16. The total revenue is given as $1,950.00, and the quantity is listed as 65.

However, the total cost is not provided in the given information. To determine the profit, the total cost would need to be subtracted from the total revenue. Without the total cost, a definitive profit calculation cannot be made.

To calculate profit, the total cost needs to be deducted from the total revenue. Unfortunately, the total cost is not provided in the given information, so a precise profit calculation cannot be determined. Profit represents the financial gain obtained by subtracting the total cost of production from the total revenue generated. If the total cost is lower than the total revenue, a profit is generated, while if the total cost exceeds the total revenue, a loss is incurred. In this case, without knowledge of the total cost, it is not possible to determine the profit or loss incurred from the given information.

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We know that y - x^2 is a parabola with a vertex at (0, 0).

So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).

Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Answer:

Answer is B

Step-by-step explanation:

This is because there were 14 chocolate cupcakes to 21 vanilla cupcakes which in ratio form is 14 to 21 and simplified is 2 to 3

James has to pay an annual interest of 14.99% on $2500 loan.

In decimal:

14.99% = 14.99/100 = 0.1499

The interest of 1st year would be:

0.1499 * 2500 = 374.75 dollars

Monthly interest would be:

374.75/12 = $31.23

If he pays this amount each month for first 4 months, he would pay a total of:

$31.23 * 4 =