Trying to find the length of the robot arm given the xy point along with angle theta and angle theta r

Given: Given the function: f(x) = (x − 3)(x + 7)(x − 1)

Required: its f-intercept and its x-intercepts.

Explanation:

For f-intercept, put x = 0

So the f-intercept is (0,21).

For x-intercepts, put f(x) = 0

So x-intercepts are (3,0),(-7,0) and (1,0).

Final Answer:

f-intercept: (0,21)

x-intercept: (3,0),(-7,0),(1,0).

The given expression is

y = (x²-7x)^5 (3x^5-5x)

To differentiate, we would apply the product rule which is expressed as

(fg)' = f'g + fg'

Let f = (x²-7x)^5 and g = (3x^5-5x)

f' = 5(2x - 7)(x²-7x)^4

g' = 15x^4 - 5

By applying the product rule, it becomes

y' = 5(2x - 7)(3x^5-5x)(x²-7x)^4 + (15x^4 - 5)(x²-7x)^5

The number of people that can attend Jordan's party is 50 people.

The equation that represents the total amount that would be spent at the party would be a linear equation. A linear equation increases at a constant rate.

The form of the linear equation would be:

Total amount = rental fee + (charge per hour of the Dynamic DJ x number of hours he plays) + (cost per person of Roscoe's rentals x number of people)

$800 = $400 + ($50 x 4) + ($4 x p)

$800 = $400 + $200 + $4p

$800 = $600 + $4p

$800 - $600 = $4p

$200 = $4p

p = $200 / $4

p = 50 people

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We got the linear equation:

The slope of this line will be -8/5 and the y-intercept will be -4.

To graph it, first find the intercept with x - axis.

We can find it if we equal the equation to zero.

Now, we got two points:

To graph the function, we only join these points:

So that's the graph for the function.

Answer:

12 is the number that comes after 11 and before 13. 12 represents the number between 11 and 13. 12 is a composite number.

Step-by-step explanation:

12 is the number that comes after 11 and before 13.

12 represents the number between 11 and 13. 12 is a composite number.

The area of the smaller rectangle is 108 inches².

The area of a rectangle is calculated to determine the area occupied by the rectangle within its boundary. A rectangle's area (A) is the product of its length 'a' and width or breadth 'b'. As a result, the Area of the Rectangle = (a × b) square units.

Given the dimensions of the smaller rectangle:

Length = 12 inches

Width = x inches

Given the dimensions of the larger rectangle:

Length = 20 inches

Width = 15 inches

To find the value of x we use proportion,

[tex]\frac{12}{x} = \frac{20}{15}[/tex]

Cross-multiplying, we get

12 × 15 = 20x

x = 180/20 = 9

Hence, the width of the smaller rectangle is 9 inches.

Area of the smaller rectangle = length × width

                                                = 12 × 9

                                                = 108 inches²

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a) Point = could be any point A to D = for example A

b) Line : AD

Could be any line named by the endpoints.

c) Segment: Fragment of a line

AB

d) Ray: part of a line that has a fixed star but no end:

BE

e) Angle : Could be any angle, the middle letter is where the angle rests.

f) 3 collinear points: A,B,C

3 points that are in the same line

g)Opposite rays: same end point but opposite directions

BE and BC

h) Plane: infinite set of points forming a connected flat surface.

ABDC

i) 3 non collinear points: AEC

Three points that aren't on the same line

j) another name for m

The value of x is 10 and the length of SU is 50.

Here SU is the line and T is the mid-point of the line

So from this we have

SU = ST + TU

ST = TU

SU = 2ST = 2TU

ST = 3x - 5 and TU = 2x + 5

As ST = TU

3x - 5 = 2x + 5

x = 10

SU = 2ST

     = 2( 3x - 5)

     = 2( 3 × 10 - 5)

     = 2( 30 - 5)

     = 2× 25

     = 50

Therefore the value of x is 10 and the length of SU is 50.

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Given:

The graph of the function f is given and the function g is as:

Required:

To graph the function g.

Explanation:

The graph of the function f(x+2), shift the graph f(x) left 2 units by subtracting 2 from the x-coordinates of the points on the graph of f.

The graph of the function

here

So the graph of g has undergone a vertical shrinking by a factor of

The graph of the function

reflect the graph of

across the x-axis by multiplying the y coordinate of the points on the graph of

by -1.

Thus the graph of the function

is as:

Final Answer:

The graph of the function g is attached in the explanation part.

The time taken by Town A to Town B will be 3 hours.

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that at 30 mph a trip from Town A to Town B takes 6 hours.

The time taken will be calculated as,

Total distance = 30 x 6 = 180 meters

Speed = 30 x 2 = 60 mph

The time,

T = 180 / 60= 3 hours

Therefore, the time taken by Town A to Town B will be 3 hours.

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After throughfall calculating the multiplication 4505 x 219 in standard algorithm, we have come to find that product is 986595

In elementary math, a standard algorithm or method is a particular computation technique that is typically taught for resolving particular mathematical issues. In general, these techniques include exchanging, regrouping, long division, long multiplication using a standard notation, and standard formulas for average, area, and volume.

These techniques can vary somewhat by country and time, but they typically include these techniques. Similar techniques are also available for more complex functions like square roots, but they are no longer taught in general mathematics classes because calculators are more convenient.

4505 x 219 in standard algorithm is as follows:

⇒        4 5 0 5

         ×    2 1 9              

        4 0 5 4 5    

    +  4 5 0 5        

  + 9 0 1 0        

     9 8 6 5 9 5

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Answer:

x+8 - 6/x+3

Step-by-step explanation:

We have to use the slope formula

Let's replace the points (9,-24) and (13,-21). Where

The division of the two numbers in scientific notation is equal to 1.91*10^15

To solve this problem, we have to divide the two numbers in scientific notation and to do this, we can simply apply division law of indices here;

We can first divide 6.1 by 3.2.

This will give us 1.90625 which is approximately 1.91.

Then applying the law of indices and subtract the power from one another. This becomes 20 - 5 = 15

The final value will be 1.91 * 10^15

The division of 6.1*10^20 by 3.2*10^5 is equal 1.91 *10^15

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Let's draw the figure to better understand the problem.

The domain of the function is [1, ∞) and the range of the function is [0,∞).

Domain and range:

The domain and range of a function are  refers the set of all the inputs and outputs a function can give respectively.

Basically, domain takes all the possible input values from the set of real numbers whereas the range takes all the output values of the function.

Given,

Here we have the function

y = √x - 1

Now, here we need to find the domain and range of the function.

The given function is rewritten as,

√x - 1 > 0

Square both sides then we get,

x - 1 > 0

Add 1 on both sides then we get,

x > 1

Therefore, the domain is [1, ∞).

Similarly, let us consider, y ≥ 0

Therefore, the range is [0,∞).

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Rodger biked 30 miles in 2 hours. Write this rate as a unit rate.​

__________________________________

30 miles / 2 hours = 15 miles/hour

_________________________________________

Answer

15 miles/hour

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

The four lines that are skew to line EF are AB, GB, CH, and DC.

The lines that are not intersecting and perpendicular to each other, are not parallel to each other, and are not coplanar are called skew lines.

We have,

A line EF on the given square figure.

We have the following lines on the given figure.

DG, CB, HA, FA, FG, GB, AB, EH, ED, DC,CH,

We see that,

FG, FA, EH, and ED are perpendicular and intersecting to line EF.

DG, CB, and HA are parallel to line EF.

So the remaining lines will be skew to line EF

i.e AB, GB, CH, and DC

Thus,

The four lines that are skew to line EF are AB, GB, CH, and DC.

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Answer:

66

Explanation:

By the Thales theorem, if we have the following figure:

Then, the following equation applies:

So, in this case, we can formulate the following equation:

Then, solving for x, we get:

Therefore, the value of x is 66.

Since BCE is an inscribed angle, it measures half the measure of the inscribed arc.

Angle BCE inscribes the arc BE of 180°, we have:

Therefore the correct option is 1)

You have one box that is 2 and 5/11

feet tall and a second box that is 2.45 feet tall. Write the decimal expansion for

2 and 5/11. If you stack the​ boxes, about how tall will the stack​ be​

we have that

If you stack the​ boxes,

we have

2.45+2.45=4.90 ft

If the cost to park in garage can be modeled by the equation P = 3+ch

Part A

The equation to find the number of hours a person parked h = (P-3) / c

Part B

If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5

Part C

If P = $25.50, the person parked 10 hours if the cost per hour is $2.25

The flat fee of parking = $3

The cost to park in garage can be modeled by the equation

P = 3+ch

Where c is the hourly rate to park

h is the number of hours parked in the garage

Part A

The equation to find the number of hours a person parked is

P = 3+ch

c × h = P-3

h = (P-3) / c

Part B

c = $2.25

h = 6 hours

P = 3 + 2.25×6

= 3 + 13.5

= $16.5

Part C

P = $25.50

c = 2.25

h = (P-3)/c

= (25.50-3)/2.25

= 10 hours

Hence, if the cost to park in garage can be modeled by the equation P = 3+ch

Part A

The equation to find the number of hours a person parked h = (P-3) / c

Part B

If c = $2.25 and number of hours h =6 hours, then the cost to park in garage is $16.5

Part C

If P = $25.50, the person parked 10 hours if the cost per hour is $2.25

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Looking at the diagram of the triangular prism and its net, we can see that

a = width of the base = 5 cm

b = the slant height = 13 cm

c = length of the base = 15 cm

A percent discount of 30%

Explanation:

Since $129 represent 100% of the price, then the new price $90.30 represent 70 %

129 * 100 / 90.30 = 70 %

Since from the 100% of the price, it went to 70% of it, there was a discount of 30%

100 - 70 = 30%

SOLUTION:

Case: Distance time graph

Method:

a) the students speed from the 3rd to 5th minute

b) the times during the bike ride did the student come to a stop

d and h

8 minutes and 23 minutes

c) the students speed increase during.

b to c. 1 and 3 minutes

e to f. 11 and 15 minutes

f to g. 15 and 17 minutes

Using percentages, the answer to both the subparts are:

So, since the interest is annual 6.5%:

(A) Interest that will be owed after 178 days:

Now, 3.25% of 4200:

(B) Interest after 178 days if sop doesn't repay:

Now, 6.5% of 4200:

Therefore, using percentages, the answer to both the subparts are:

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Explanation:

For the given equation

For Erika to resolve the question

Step 1: We will take the logarithm of both sides

Step 2: Simplify the expression

Thus

Step 3: Solve for x

Answer:

Step-by-step explanation:

Reduce the following expressions:

Operate like terms: