Determine if the following graphs represent a function. Answer"yes" or "no".

Answer:  X is 35, the angle is 75°

Step-by-step explanation:

(2x + 5) + 3x =180

They are supplementary angles, which the sum of them are 180.

2x + 5 + 3x = 180

5x + 5 = 180

5x = 175

x = 35

∠ABC = 2X + 5 = 2(35) + 5 = 70 + 5 = 75°

Let x = 0.263263263…

Then 1000x = 263.263263263…

Subtracting x gives

1000x - x = 263.263263263… - 0.263263263…

999x = 263

x = 263/999

Answer:

x > -6.

Step-by-step explanation:

-3x < 18

Divide both sides by -3.

x > -6.

(Note that the sign is flipped as we are dividing by a negative quantity).

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Answer: in slope intercept form: y=-3x+170

In point slope form: y-50=-3(x-40)

Step-by-step explanation:

Choose coordinates from the graph to calculate slope.

(30,80) and (40,50) are on grid lines , so the values are clear.

Find the slope by finding the difference in x-values divided by the difference in y-values

50-80 = -30   = -30 is the rise      

40 - 30 = 10  is the run  Rise/Run = slope -30/10 = -3

the slope m is -3

To find the y intercept, substitute the y and x values from any given coordinate into the slope intercept form and solve for  b

y= mx + b    b is the y-intercept   m is the slope

80 = (-3)(30) + b

80 = -90 + b

80 + 90 = b

170 = b

170 = b  This is the y-intercept

Rewrite the equation using the values found for  m and b

y = -3x + 170

The derivative of f(x) is 3x^2 * (1 + x^3^4)^(1/4) - 2x * (1 + x^2^4)^(1/4).

To find the derivative of the function f(x) = ∫[x^2 to x^3] (1 + t^4)^(1/4) dt, we can use the Fundamental Theorem of Calculus and the Chain Rule.

Applying the Fundamental Theorem of Calculus, we have:

f'(x) = (1 + x^3^4)^(1/4) * d/dx(x^3) - (1 + x^2^4)^(1/4) * d/dx(x^2)

Taking the derivatives, we get:

f'(x) = (1 + x^3^4)^(1/4) * 3x^2 - (1 + x^2^4)^(1/4) * 2x

Simplifying further, we have:

f'(x) = 3x^2 * (1 + x^3^4)^(1/4) - 2x * (1 + x^2^4)^(1/4)

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Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Answer:

0, 5, 10, 15, 20

0, 5, 40, 405, 5,120

Step-by-step explanation:

One rule can be "add 5 to the previous term to get the next term."

0, 5, 10, 15, 20

Second rule:

For each term number 1, 2, 3, ..., n,

each term = 5(n - 1)^n

0, 5, 40, 405, 5,120

The next three terms for the rule Tn = a + (n-1)d will be 10,15 and 20

The next three terms for rule 5(n-1)ⁿ will be 40, 405 and 5120.

Sequences are numbers arranged in a specific pattern.

Given the sequence 0, 5...

This sequence can be an arithmetic sequence with nth term expressed as:

a is the first term = 0

n is the number of terms

d is the common difference = 5 - 0  5

If n = 3

T3 = 0 + (3-1)*5

T3 = 2 * 5

T3 = 10

If n = 4

T4 = 0 + (4-1)*5

T4 = 3 * 5

T4 = 15

If n = 5

T5 = 0 + (5-1)*5

T5 = 4 * 5

T5 = 20

Hence the next three terms for the rule will be 10,15 and 20

Also, we can also use the recursive rule f(n) = 5(n-1)ⁿ

If n = 3

f(3) = 5(3-1)³

f(3) = 5(2)³

f(3) = 5 * 8

f(3) = 40

If n = 4

f(4) = 5(4-1)⁴

f(4) = 5(3)⁴

f(4) = 5 * 81

f(4) = 405

If n = 5

f(5) = 5(5-1)⁵

f(5) = 5(4)⁵

f(5) = 5 * 81

f(5) = 1024 * 5

f(5) = 5120

Hence the next three terms for the rule will be 40, 405, and 5120.

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Answer:

B) -4 < y

Step-by-step explanation:

The lowest point on the y axis of the graph is -4 and everything else is higher

Answer:

(3x+18)(x-3)

Step-by-step explanation:

3x^2 + 9x - 54 = 0

x^2 + 3x - 18 = 0

(x+6)(x-3) = 0

x = -6

x = 3

3(x-(-6)(x-3)

3(x+6)(x-3)

(3x+18)(x-3)

Step-by-step explanation:

Most accurate one would be how many pounds he bought. Occasionally, the number he bought could also be used

Answer:

$18

Step-by-step explanation:

If she starts with $50 and has $32 left when she's done then. 50-32= 18

So she spent $18 on clothing.

Answer:

x=14

y=41

x+y= 55

Step-by-step explanation:

Since a and b are parallel you know that 123° and 3y are the same degree, so 123 divided by 3 because its 3×y= 41 so y=41

the line123° and 4x+1 are on has to equal 180 because its a straight line, 180-123= 57. 57- 1 because its not with the x= 56. 56÷4 because its 4×x/its with the x= 14. Hope thsi helps :)

Answer:

B) 9/2

Step-by-step explanation:

18 yards would be 54 feet

54:12  Divide both numbers by 6

9:2

Answer:

learns feel safe and healthy maybe other people when they see the uniform they know what school that uniform is

hope is the answer your where looking for.

Six layers of letter cubes can fit inside the prism.

To determine the length and width of the bottom of the inside of the prism, we need to consider the arrangement of the letter cubes.

A visual representation or additional information it is challenging to provide an accurate answer.

General approach to solving the problem.

Since each letter cube has edges measuring 1 1/2 inches, we can assume that the length and width of the bottom of the inside of the prism are multiples of 1 1/2 inches.

The length and width you would need to know the number of letter cubes arranged along each dimension or have a clear visual representation of the arrangement.

For Part B are given that the height inside the rectangular prism is 3/4 foot.

To determine the number of layers of letter cubes that can fit inside the prism, we need to divide the height by the height of a single letter cube.

Since each letter cube has a height of 1 1/2 inches (or 1/8 foot) can calculate the number of layers as follows:

Number of layers = (Height inside prism) ÷ (Height of a single letter cube)

Number of layers = (3/4 foot) ÷ (1/8 foot)

Number of layers = (3/4) ÷ (1/1/8)

Number of layers = (3/4) × (8/1)

Number of layers = 6

The specific arrangements of the letter cubes and their dimensions would be necessary to provide a more accurate and detailed solution.

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In this case, the radius and height of the cone are changing with respect to time, and we are given their rates of change. By applying the chain rule to the formula for the volume of a cone, we can determine the rate of change of the volume when specific values for the radius and height are given.

The volume V of a right circular cone can be expressed as V = (1/3)πr^2h, where r is the radius and h is the height. To find the rate of change of the volume with respect to time, we need to apply the chain rule.

Using the chain rule, we have dV/dt = (∂V/∂r)(dr/dt) + (∂V/∂h)(dh/dt), where (∂V/∂r) and (∂V/∂h) represent the partial derivatives of V with respect to r and h, respectively.

Taking the partial derivatives, we have (∂V/∂r) = (2/3)πrh and (∂V/∂h) = (1/3)πr^2.

Substituting the given values for the rates of change, dr/dt = 3 cm/s and dh/dt = 4 cm/s, and the given values for the radius r = 6 cm and height h = 9 cm, we can calculate dV/dt to find the rate of change of the volume.

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Answer:

the answer will be 3.82 . Hope this helped

Step-by-step explanation:

Answer:

7.6 miles

Step-by-step explanation:

Given the coordinate points :

A(−3, 1), B(2, 3), and C(4, −1)

Distance (d) between A and B:

x1 = - 3 ; x2 = 2 ; y1 = 1 ; y2 = 3

d = √(x2 - x1)² + (y2 - y1)²

d = √(2 - (-3))² + (3 - 1)²

d = √25 + 4

d = 5.385 miles

BC :

d = √(x2 - x1)² + (y2 - y1)²

d = √(4 - 2)² + (-1 - 3)²

d = √2² + (-4²)

d = √4 + 16

d2 = 4.4721359 miles

(1/2) of d2 = 1/2 * 4.4721359 = 2.236 miles

Total distance = (5.385 + 2.236) miles

Total distance driven before getting stuck in traffic = 7.6 miles

Te ratio of the heights of the cones that maximizes the volume of the inner cone is 1/4.

To find the ratio of the heights of the cones that maximizes the volume of the inner cone, we can set up an optimization problem.

Let's denote the height of the outer cone as H and the height of the inner cone as h. We are looking for the ratio h/H that maximizes the volume of the inner cone.

The volume of a right circular cone can be calculated using the formula V = (1/3) * π * r^2 * h, where r is the radius of the base and h is the height.

Given that the vertex of the inner cone touches the center of the base of the outer cone, we can conclude that the radius of the base of the inner cone is half of the radius of the base of the outer cone.

Let's denote the radius of the base of the outer cone as R and the radius of the base of the inner cone as r, where r = R/2.

Since the axes of the cones coincide, the ratio of the heights can be expressed as h/H.

To find the ratio h/H that maximizes the volume of the inner cone, we need to maximize the volume function V(h) with respect to h. So, let's calculate V(h):

V(h) = (1/3) * π * (R/2)^2 * h

     = (1/12) * π * R^2 * h

Given that the volume of the outer cone is 150c * m^3, we have:

(1/3) * π * R^2 * H = 150c * m^3

Simplifying:

R^2 * H = 450c * m^3

Now, let's express H in terms of h using the ratio h/H:

H = (h/H) * H = (h/H) * (12/π) * (150c * m^3)^(1/2)

Substituting this expression for H in the equation R^2 * H = 450c * m^3, we get:

R^2 * [(h/H) * (12/π) * (150c * m^3)^(1/2)] = 450c * m^3

Simplifying:

R^2 * h = 450 * (π/12) * (150c * m^3)^(1/2)

R^2 * h = 450 * (π/12) * 150^(1/2) * c^(1/2) * m^(3/2)

We can see that the right-hand side of the equation is a constant. Let's denote it as K:

R^2 * h = K

Since r = R/2, we have r^2 * h = (R/2)^2 * h = (1/4) * R^2 * h = (1/4) * K.

The volume of the inner cone V(h) = (1/12) * π * r^2 * h = (1/12) * π * (1/4) * K = (π/48) * K.

To maximize the volume of the inner cone, we need to maximize the constant K, which is independent of h. Therefore, the ratio of the heights of the cones that maximizes the volume of the inner cone is h/H = 1/4.

In summary, the ratio of the heights of the cones that maximizes the volume of the inner cone is 1/4.

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Answer:

the origin

Step-by-step explanation:

A coordinate grid has two perpendicular lines, or axes, labeled like number lines. The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and y-axis intersect is called the origin.

Answer:

It would take 8 hours.

Step-by-step explanation:

We can solve using proportion.

\( \frac{100 \: km}{1 \: hour} = \frac{800 \: km}{x} \\ \\ \frac{800}{100} = \frac{100x}{100} \\ \\ 8 = x\)

9514 1404 393

Answer:

  8 hours

Step-by-step explanation:

  time = distance/speed

  time = (800 km)/(100 km/h) = (800/100) h = 8 h

It would take 8 hours to travel 800 km.

Answer:

Step-by-step explanation:

Is the given equation factorable?

(x - 7)(x - 2) = x^ - 9x + 14 That doesn't work.

-7 * - 2  = 14 but the middle term is - 9 not - 5

x - 7 is not a factor  of x^ - 5x + 14

What is?

Something very ugly (x - 2.5 +/- 2.783 i )

Answer:

They lost a total of $5.074.53

Step-by-step explanation:

I believe the question is asking how much money the company lost in these four months, so you would just add 1051.51 and 4023.02

Hope this helps! I apologize if I'm incorrect

Answer: I think that FG and MB are parellel, but I think the way to confirm is to measure with a ruler

Step-by-step explanation:

Answer:

what's the temperature in Puerto Rico

Answer: 13

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

To solve this question we will be using BIDMAS.

This stands for, Brackets, indices, division, multiplication, addition and subtraction.

As brackets is first, we need to do 5+4, to get 9.

This gives us 26-9-20 divide 4

Next is division so we do 20 divide by 4, to get 5.

This gives us 29-9-5

So now we subtract 9 from 29 to get 20, and 5 from 20 to get 15, which is our final answer.

a). To maximize production within the budget, 600 units of labor and 100 units of capital should be purchased. b). The maximum production under the budgetary constraint is approximately 8,366 units.

a). To maximize production, we need to allocate the budget efficiently between labor and capital. We can calculate the number of units of labor and capital by dividing the budgeted amount by the cost per unit. The budget of $576,000 divided by the cost of labor per unit ($400) gives us 1,440 units of labor. Similarly, dividing the budget by the cost of capital per unit ($2,400) gives us 240 units of capital. However, this allocation does not maximize production within the budgetary constraint.

b). To find the optimal allocation, we can use the partial derivatives of the production function with respect to L and K. Taking the partial derivative of the production function with respect to L, we get 37.5L^(-0.25)K^0.25. Equating this to the budgeted amount of labor (600 units), we can solve for K, which comes out to be 100 units. Similarly, by taking the partial derivative of the production function with respect to K, we get 12.5L^0.75K^(-0.75). Equating this to the budgeted amount of capital (100 units), we can solve for L, which comes out to be 600 units.

By substituting these values into the production function, we can calculate the maximum number of units of production, which is approximately 8,366 units.

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