Calculus, A) find the slope of the line
B) interpret the slope

Answer:

√10z^3(z - 1)(z + 1).

Step-by-step explanation:

The GCF is √10z* z^2

= √10z^3

So factoring we get

√10z^3(z^2 - 1)           The expression in brackets is difference of 2 squares so:

= √10z^3(z - 1)(z + 1)

The area of triangle FGH that is similar to triangle ABC is: 8 square feet.

If two shapes are similar, the ratio of their areas equals the ratio of the square of their corresponding sides.

Therefore:

area of triangle EFG / area of triangle ABC = FG²/BC²

Plug in the values

area of triangle EFG / 18 = 2²/3²

area of triangle EFG / 18 = 4/9

area of triangle EFG = (18×4)/9

area of triangle EFG = 8 sq. ft.

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Answer:

Domain: all real numbers (all reals)

Range: y> OR EQUAL TO -2

Step-by-step explanation:

Hope this helps! ;-)

okay,here is about a formula.

n=2x

where x is the numbers.

n=2×3

n=6.

therefore the three digit numbers which can be obtained is 6.

Answer:

<HAD

Step-by-step explanation:

Answer:

Yes, no is correct

Step-by-step explanation:

This is because you only add up the outside sides of the polygon to find the perimeter. None of the inside sides. Hope this makes sense and hope it helps.

Answer:

No, because the friend counted a length that is inside of the polygon, which you don't need for finding the perimeter, since the perimeter is the sum of the outside lengths of the polygon.

Answer:

8:15 am.

Step-by-step explanation:

So the starting time will be 50 minites before 9:05 am.

That will be 9:05 - 50

=  9:00 - 45

= 8:15 am.

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

The model of the height of a Ferris wheel is represented by a sinusoidal model, which is presented below:

h = A + B · sin ωt     (1)

Where:

Sinusoidal functions are bounded functions, the minimum height of the Ferris wheel represents the lower bound of the function and the maximum height is the upper bound. Therefore, the minimum height of the rider is:

[tex]h_{min} = 39\,m - 30 \,m[/tex]

[tex]h_{min} = 9\,m[/tex]

By knowing geometrical dimensions, the minimum height of the rider in the Ferris wheel, modeled by a sinusoidal function, is equal to a height of 9 meters.

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Answer:

In romania I was doing this in the 6th grade

Step-by-step explanation:

5.

A B and D C are parallel lines.

"slope" means inclination. and as you can imagine, parallel lines must have the same inclination, or they would not be parallel.

so, the slope of D C must be also 2/7.

4.

same thing as with 5.

both lines are parallel and must therefore have the same slope.

so, the slope of D C is also 3/4. and the first answer is correct.

If the area of the square is 36 square units. Then the area of the circle will be 28.26 square units.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The area of the square will be given as 36 square units.

Then the side length of the square will be

36 = a²

 a = 6 units

Then the diameter of the circle and side length of the square are equal. Then we have

a = d = 6 units

Then the radius of the circle will be

2r = d

2r = 6

 r = 3 units

Then the area of the circle will be

Area of circle = πr²

Area of circle = 3.14 x 3²

Area of circle = 28.26 square units.

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Answer:

308

Step-by-step explanation:

so to find how much a rectangular prisim is by

length * with* height

11* 7 * 12

= 924 cubic feet

and then we just divid by 3

=308

Step-by-step explanation:

Radio=

Normal Price = K48.

Discount 20%

Selling Price

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Answer:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Step-by-step explanation:

A dot plot is like a histogram but it uses dots instead of bars. Like histogram, a dot plot also presents the frequency of data points. The dot plot as described by the problem is shown in the picture. A bell shape is drawn for a symmetrical data. From the choices, the answer is: It is symmetric and has no gaps. The other statements are wrong because the peak is at $5 or $6.

Equation to represent the given situation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Given that:

Total cost for 7 month =$180.39

Let m be the average number of minutes  that exceeds 700 minutes each month.

Equation :

7(19.70 + 1.97 + m X 0.05) = 180.39,

or,  7(19.70 + 1.97 + m X 0.05) = 180.39,

or, 21.67 + 0.05m = 180.39/ 7,

or, 0.05m = 25.77 – 21.67,

0.05m = 4.1

m= 82

Hence,  equation to represent the given situation : 7(19.70 + 1.97 + m X 0.05) = 180.39.

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Answer:

120ft

Step-by-step explanation:

The amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

Interest is simply the amount of money a lender or financial institution receives for lending out money or pays for receiving money.

The formula for calculating compound interest is expressed as;

A = P(1 + r/k)^(k*t)

Where A is final amount, P is initial principal balance, r is interest rate, k is  number of times interest applied per time period and t is number of time periods elapsed.

Given that;

A = P(1 + r/k)^(k*t)

A = 40500(1 + 0.038/1)¹ˣ²⁰

A = 40500 × (1.038)²⁰

A = 40500 × 2.10837

A = $85389

Therefore, the amount of money accumulated after investing the given amount of money at the given rate and time period is $85389.

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Answer:

y = -0.2x+ 0.8

Step-by-step explanation:

If a line is perpendicular to another line then the slope of the line = the negative reciprocal of the other line

Here Line AB has the equation y = 5x - 1. Here slope = 5
This comes from the fact that if a line has the equation y= mx + c then the slope = m and the y intercept = c

If XY is the line perpendicular to AB then its slope = -1/5. Let the y intercept of XY be c

Then equation of line XY is: y = (-1/5)x + c = -0.2x + c (1)

Since it passes through (-1, 1) ie through x = -1, y=1, substitution these values into the above equation (1), we get

1 = (-0.2)(-1) + c or

1 = 0.2 + c or  

c = 0.8

Answer:

The diameter divides a circle into fourths. (False)

The diameter is twice the length of the radius. (True)

The diameter is the distance around the circle. (True)

The diameter is a chord. (True)

The diameter passes through the center of a circle. (True)

The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!

Step-by-step explanation:

Hope this helps!

From your neighborhood softie. :)

Answer: 2277 Newtons

Step-by-step explanation:

I will show you how to do this the Physics way, so first we must write down our given values.

gravitational field = gravity = 25.3 N/kg

Mass of the astronaut = 90kg

Fun fact: know that if you convert the Newtons to a different unit, Newtons = kg (m/s^2) so we can say that instead of N/kg, we can write it as m/s^2 because if we divide kg(m/s^2) with kg, you’ll end with m/s^2

If you’re in physics, we always work with m/s^2 for every acceleration that exists. So we basically have 25.3 m/s^2 for gravity.

To find the weight, we can use the F=ma formula but rewritten as Weight = mass * gravity

Weight = (90kg)(25.3 m/s^2) = Option D = 2277 Newtons

The reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

The substitution property of equality states that, if m = n, then m can be substituted in for n in any equation, and vice versa.

From the question, we are to determine the reason that best supports Statement 3

In the diagram, statement 3 is

m∠A ÷ 5 = 20°

From the given expressions,

m∠A ÷ 5 = m∠B and m∠B = 20°

By the substitution property, we can substitute 20° for m∠B in the first expression

That is,

m∠A ÷ 5 = m∠B  becomes

m∠A ÷ 5 = 20°

Hence, the reason that best supports statement 3 in the given proof is the substitution property of equality. The correct option is - D. Substitution

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Answer: C)

Step-by-step explanation:

Based on the percentage coverage for personal property, the amount of coverage for Melissa's personal property is $50,760.

This can be found by the formula:

= Replacement value x Percentage of personal property coverage

Solving gives:

= 84,600 x 60%

= $50,760

In conclusion, Melissa's personal property coverage is $50,760.

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Answer:

horizontal line

Step-by-step explanation:

The slope formula is m=(y2-y1)/(x2-x1)

-6+6/-4-1

y2-y1 = 0

Step-by-step explanation:

well don't breath just collect like terms and booom

Answer:

Domain: [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex]

Range: [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex]

Step-by-step explanation:

Factor the numerator and denominator

[tex]\displaystyle f(x)=\frac{x-6}{x^2-3x-18}\\ \\f(x)=\frac{x-6}{(x-6)(x+3)}\\\\f(x)=\frac{1}{x+3}[/tex]

Because the factor [tex]x-6[/tex] exists in both the numerator and denominator, then there is a hole at [tex]x=6[/tex] because the function is not continuous there. Additionally, because the denominator cannot be 0, [tex]x\neq-3[/tex], and there will be a vertical asymptote at the line [tex]x=-3[/tex].

Thus, the domain of the function is [tex]\displaystyle (-\infty,-3)\cup(-3,6)\cup(6,\infty)[/tex].

Also, notice that because [tex]x\neq6[/tex], as the function gets closer to [tex]x=6[/tex], the function gets closer to [tex]\displaystyle f(6)=\frac{1}{6+3}=\frac{1}{9}[/tex], so [tex]\displaystyle y=\frac{1}{9}[/tex] is not included in the range.

Thus, the range is [tex](-\infty,0)\cup(0,\frac{1}{9})\cup(\frac{1}{9},\infty)[/tex].