Find the product and show your solution.
1. (x+9) (x²-9x+81)=
2. (y²-7) (y⁴-7y²+49)=
3. (x²-5) (x⁴+5x²+25)=
4. (8x-9y) (64x²+72xy+81y²)=
5. (10m-11) (100m²+110m+121)=​

The true statement is sometimes true

The equation is  given as

5x + 3 - 2x = 7x + 3

Evaluate the like terms on each side of the equation

So, we have

3x + 3 = 7x + 3

Evaluate the like terms on both sides

4x = 0

Divide both sides by 4

x = 0

This means that the equation is only true when x = 0

Hence, the true statement is sometimes true

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The rate of change is 1/2.

the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have a simple linear function:

y = (1/2)*x + 3

Remember that for a general linear function we have:

y = a*x + b

Where a is the rate of change and b is the y-intercept.

Then comparing our function with the general one, we can see that the rate of change is 1/2.

Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.

And when x tends to negative infinity also does f(x).

Then the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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Answer:

f. 8.0

g. 34.4

h. 83.8

i. 121

j. 35.2

Step-by-step explanation:

f. 4.1 + 3.9 = 8.0

g. 23.1 + 7.6 + 3.7 = 34.4

h. 53.2 + 3.1 + 27.5 = 83.8

i. 11.1 + 17.3 + 92.6 = 121

j. 24.1 + 7.9 + 3.1 = 35.2

The following given task is an experiment.

So,

The following given task is an experiment.

Therefore, the following assignment is an experiment.

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Answer: Three or more points that lie on the same line are called collinear point.

Example : the points A, B and C lie on the line m. They are collinear

Step-by-step explanation: i really hope this helps somehow  (: btw lmk if i am wrong

Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2

The range of data set 1 is 20 and the range of data set 2 is 25.

From the given figure, the observations in data set 1 are 20, 25, 25, 25, 30, 30, 30, 35, 35 and 40.

The observations in data set 2 are 35, 40, 40, 45, 45, 45, 50, 50, 55 and 60.

In statistics, the range of a set of data is the difference between the largest and smallest values, the result of subtracting the sample maximum and minimum. It is expressed in the same units as the data.

From data set 1:

Highest observation = 40 and lowest observation = 20.

So, range = 40-20=20

From data set 2:

Highest observation = 60 and lowest observation = 35.

So, range = 60-35=25

Therefore, the range of data set 1 is 20 and the range of data set 2 is 25.

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Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

Given,

The total length of the roll =25 foot

Length of each wire = [tex]3\frac{7}{8}[/tex] inches

First we have to convert mixed fraction to simple fraction

[tex]3\frac{7}{8}=\frac{31}{8}[/tex] inches

Convert foot to inches

25 foot = 25×12 =300 inches

Number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll = Total length of the roll/ Length of each wire

=300÷[tex]\frac{31}{8}[/tex]

=77.41

≈77

Hence, the number of [tex]3\frac{7}{8}[/tex] inches length wire that can be cut from 25ft roll is 77

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The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

In this problem we must find the coordinates of a new line segment, generated after making translations and rotation, two kinds of rigid transformations. First, determine the coordinates of the ends of the line segments by translation formula:

A'(x, y) = (3, 4) + (- 2, 1)

A'(x, y) = (1, 5)

B'(x, y) = (- 1, - 2) + (- 2, 1)

B'(x, y) = (- 3, 1)

Second, determine the coordinates of the ends of the line segment by using the rotation formula:

A''(x, y) = O(x, y) + ((A'x - Ox) · cos θ - (A'y - Oy) · sin θ, (A'x - Ox) · sin θ + (A'y - Oy) · cos θ)

A''(x, y) = (1, 3) + ((1 - 1) · cos (- 90°) - (5 - 3) · sin (- 90°), (1 - 1) · sin (- 90°) + (5 - 3) · cos (- 90))

A''(x, y) = (1, 3) + (2, 0)

A''(x, y) = (3, 3)

B''(x, y) = O(x, y) + ((B'x - Ox) · cos θ - (B'y - Oy) · sin θ, (B'x - Ox) · sin θ + (B'y - Oy) · cos θ)

B''(x, y) = (1, 3) + ((- 3 - 1) · cos (- 90°) - (1 - 3) · sin (- 90°), (- 3 - 1) · sin (- 90°) + (1 - 3) · cos (- 90))

B''(x, y) = (1, 3) + (- 2, 4)

B''(x, y) = (- 1, 7)

The coordinates of the ends of the line segment A''B'' are A''(x, y) = (3, 3) and B''(x, y) = (- 1, 7), respectively. The graph of the line segment is attached aside.

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Therefore, the 90% confidence interval for the mean repair cost for the VCRs is ($82.40,$90.12).

Subject to the exclusions outlined in this clause, the repair cost is defined as the cost of the parts and labor required to fix or replace any covered component as a result of a covered mechanical breakdown. We reserve the right to substitute components of comparable sort and quality, whether they are new, OEM, swapped, rebuilt, remanufactured, or used. The suggested retail price of a part of a like type and quality, or the manufacturer's indicated retail price for Your Vehicle, whichever is higher, may not be exceeded when pricing out parts. A current, widely used flat-rate labor guide will be used to calculate labor costs. According to state-specific rules, the Repair Cost includes the necessary taxes related to the covered Mechanical Breakdown.

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∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

Given that, AD bisects ∠BAC and ∠1≅∠3.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since AD bisects ∠BAC, ∠BAD=∠DAC.

That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)

Since ∠1≅∠2 and ∠1≅∠3 (given)

We get, ∠2≅∠3

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

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Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

Answer:

we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,

Step-by-step explanation:

13 ( s+12) = 15 s

where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.

we solve,

s = 78 pounds

such that Nathan's is 90 pounds.

To solve the for x the equation will be   3x° = 80° - x° and the value of x is 20°.

When two or more lines meet at a common point it is known as  intersecting lines.

According to the question we have been given that there are two lines who are intersection at a point. And we have been given measure of two angles.

Let the first angle be given as ∠A and the second angle be given as ∠B.

The measure of angles given to us are :

   ∠A = 3x°  and  ∠B = (80 - x)°

We know that when two lines intersect then the vertically opposite angles are equal, that is

              ∠A = ∠B

Putting the required values we get

            3x° = 80° - x°

            4x° = 80°

              x = 20°

Hence the value of x = 20°. Thus the measure of ∠A = 60°  and ∠B = 60°

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Answer:

1/5

Step-by-step explanation:

because 3/15

Hey there!

(11 - 8)/(1 + 7 * 2)

= (3)/(1 + 14)

= 3/15

≈ 3 ÷ 3 / 15 ÷ 3

≈ 1/5

≈ 0.2

Therefore, your answer should be:

1/5 or 3/15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

Given that,

(2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴)

By using scientific notation

The scientific notation allows us to express extremely large or extremely small numbers by multiplying them by single-digit integers and by 10 raised to the power of the corresponding exponent. The exponent is either positive or negative depending on how big or little the number is.

Now, we calculate

(2.3[tex]\times[/tex]10⁵)=2.5[tex]\times[/tex]100000=230000

(1.5 [tex]\times[/tex]10⁴)=1.5[tex]\times[/tex]10000=15000

Now,

=230000[tex]\times[/tex]15000

=3450000000

=345 [tex]\times[/tex]10⁷

Therefore, By using scientific notation we calculated (2.3[tex]\times[/tex]10⁵)(1.5 [tex]\times[/tex]10⁴) we got 345 [tex]\times[/tex]10⁷.

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Step-by-step explanation:

Multiple the ratio by Nile river distance

Answer:

V = [tex]\frac{Bh}{3}[/tex]

Step-by-step explanation:

B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )

Bh = 3V ( divide both sides by 3 )

[tex]\frac{Bh}{3}[/tex] = V

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x-0)^2

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

The leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in the equation

y(x)=1*(x-2)^3(x)^2-------(2)

So the polynomial for the conditions given in the question is expressed as

y(x)=1*(x-2)^3(x)^2

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Answer: c=[tex]\frac{4A}{b^3}[/tex]

Step-by-step explanation:

A = 1/4b^3c

A*4=4*1/4b^3c

4A=4/4b^3c

4A=b^3c

c=4A/b^3

c=[tex]\frac{4A}{b^3}[/tex]

In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.

Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.

athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23

athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49

athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163

athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109

athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209

athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55

See attached photo for reference.

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The distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 10 units.

We are given the two points:

( − 4 , - 5 ) and ( 0 , 5 )

We need to find the distance between the two points.

The formula for distance is given as:

Distance = √ (x₂ - x₁)² + (y₂ - y₁)²

Substituting the values, we get that:

Distance = √ ( 0  + 4 )² + ( 5 + 5)²

Distance = √ ( 4 )² + ( 10 )²

Distance = √ 16 + 100

Distance = √ 116

Distance = 2 √29 units.

Therefore, we get that, the distance between the two points ( − 4 , - 5 ) and ( 0 , 5 ) is 2 √29 units.

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Answer:

u has position brobjdidiodd

The data for relative humidity levels in operating rooms at local hospitals must be continuous.

For given question,

Continuous data is a type of numerical data that refers to the unspecified number of possible measurements between two points.

These numbers are not always clean and tidy like those in discrete data, as they're usually collected from precise measurements.

Variables in these data sets often carry decimal points.

When values in a data set are countable and can only take certain values, it is called discrete data.

In this question,

we need to find the type of data for relative humidity levels in operating rooms at local hospitals.

The data records of relative humidity levels carry decimal points.

Therefore, the data for relative humidity levels in operating rooms at local hospitals must be continuous.

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If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.

As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.

We are required to calculate the total cost of tickets for the whole group.

Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was

(8 + 5) = 13.

As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.

Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.

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The ounces of cat food she will feed her cat in 4 weeks is 54.4 oz

The given parameters are

1 oz = 28.3 g

1 day = 55 g

For 4 weeks, the amount would be

1 * 7 * 4 days = 55 g * 4

So, we have

28 days = 1540 g

Rewrite as

4 weeks =1540 g

Recall that 1 oz = 28.3 g

So, we have:

4 weeks = 54.4 oz

Hence, the ounces of cat food will she feed her cat in 4 weeks is 54.4 oz

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Answer:

(-4, 4)

Step-by-step explanation:

x can be either negative 4 or positive 4.  A negative number squared is a negative number times a negative number, which will be a positive number.