Explain how to find the slope of a line that passes through (-2, -4) and (7, -3)

Answer:

For every 7 books Ethan read, Sadie read 3 books.

Step-by-step explanation:

For every 21 books Ethan read, Sadie read 9 books.

Unsimplified Ratio = 21:9

21 and 9 have a common factor of 3.

Because 21 and 9 share a common factor we can simplify the ratio

21 / 3 = 7

9 / 3 = 3

The new ratio is 7 to 3

So for every 7 books Ethan read, Sadie read 3 books.

Answer:

160

Step-by-step explanation:

Add up all the numbers

48 + 67 + 16 + 29 = 160

Answer: D. 160

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

There is a 7 in 14 chance of randomly selecting a can of vegetable beef soup. In fraction form, that would be a 7/14 chance. Simplifying the fraction would bring us to 1/2, our final answer.

Answer:

the slope and the y-intercept of the linear function that is represented by the equation y = 9 x minus 27? The slope is –2, and the y-intercept is 9.

Step-by-step explanation:

hope this helps

Answer:

f x

Step-by-step explanation:

the equqtion's y intercept is -4 , and f (x) has that intercept

Answer:

f(x)

Step-by-step explanation:

The equation says -4 meaning that it moved down 4 spaces on the y-axis.

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

Answer:

Part A

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the given values we get;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

R = 12 inches

The radius of the circumscribing circle is 12 inches

Part B

The length of each side of the hexagon, 's', is;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

s = 12 inches

The perimeter, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon is 72 inches

Step-by-step explanation:

The given parameters of the regular hexagon are;

The length of the apothem of the regular hexagon, a = 6·√3 inches

The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;

[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]

Where;

n = The number of sides of the regular polygon = 6 for a hexagon

'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;

Part A

Therefore, we have;

[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]

Plugging in the values gives;

[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]

The circumradius, R = 12 inches

Part B

The length of each side of the hexagon, 's', is given as follows;

[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]

Therefore, we get;

[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]

The length of each side of the hexagon, s = 12 inches

The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches

The perimeter of the hexagon = 72 inches

Answer: radius = 12, perimeter = 72

Step-by-step explanation:

We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.

so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6

long leg = 6√3

long leg = short leg √3

short leg = 6

hypotenuse (radius) = 2(short leg)

hypotenuse (radius) = 2(6)

hypotenuse (radius) = 12

The radius of hexagon ABCDEF = 12 inches

Perimeter = r (sides)

Perimeter = r (6)

Perimeter = 12 (6)

Perimeter = 72

The perimeter of hexagon ABCDEF = 72 inches

Answer:

I'm not sure what you're asking if P (A) = 0.75 P(A) is equal to 0.75

The recursive formula for g(n) is:

g(1) = -72 (base case)

g(n) = [tex]g(n-1) \times (-1/6)[/tex] (for n > 1)

A recursive formula is a formula that defines a sequence or function by expressing each term in terms of one or more previous terms.

It is a way of defining a sequence or function iteratively, where each term or value depends on the previous terms or values.

To find the recursive formula for [tex]g(n) = -72\times (1/6)^{(n-1)} ,[/tex]   we need to express the function in terms of its previous term, g(n-1).

Notice that g(n) can be obtained by multiplying g(n-1) by -1/6.

This is because:

[tex]g(n) = -72\times (1/6)^{(n-1)}[/tex]

[tex]g(n-1) = -72\times (1/6)^{(n-2) }[/tex]

So we can write:

[tex]g(n) = g(n-1) \times {(-1/6) }[/tex]

For similar question on  recursive formula.

https://brainly.com/question/29224065

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Answer:

50 hours

Step-by-step explanation:

Given data

Time=40hr

Speed=10km/hr

Let us find the fixed distance first

Speed= distance/Time

10= distance/40

distance= 10*40

distance= 400miles

Now our speed= 8km/h

hence the time is

8= 400/time

time= 400/8

time=50 hours

Hence the time is 50 hours

Answer:

264 naira

Step-by-step explanation:

Given that:

Amount earned per year = 2460

Rate of interest paid : 10k per naira earned

Tax paid by messenger per year :

100k = 1 naira

10k = (100/10) = 0.1 naira

Hence 0.1 naira is paid as tax on every naira earned

Total amount paid on 2640 Naira :

Amount paid per naira * total amount earned

(0.1 * 2640) = 264 naira

Answer: Yeah and ?

Step-by-step explanation:

Answer:

(15,-5)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

42 - 35 = 7

Answer:

D

Step-by-step explanation:

Indepedent values basically means the x-values

Also sorry for last answer

Answer:

4 people per car

Step-by-step explanation:

To find the unit rate we would have to do

20/5=4

Answer:

38x

Step-by-step explanation:

Answer:

210.7

Step-by-step explanation:

7x8 (and multiply that by 3 for the 3 sides)

7x6.1 (times 2 for the 2 sides and divided by 2 because it is a triangle)

Answer: x > 14

m a th way can help with any similar questions like this !!

The number of full cylindrical containers needed to completely fill the fish tank is 30.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The volume of a cylinder:

[tex]\rm V = \pi (6/2)^2 (8)[/tex]

V = 72π cubic inches

The volume of cube v = 24×24×12 = 6912 cubic inches

A number of full cylindrical containers are needed to completely fill the fish tank:

= 6912/72π

= 30.55 ≈ 30

Thus, the number of full cylindrical containers needed to completely fill the fish tank is 30.

Learn more about the cylinder here:

brainly.com/question/3216899

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Answer:

-x-2

Step-by-step explanation:

x+5 + -4x -2 + 2x -1 = -x -2

Answer:

-x + 2

Step-by-step explanation:

(x + 5), (-4x -2), and (2x -1)

x + (-4x) + 2x) + (5 + -2 + -1)

= -x + 2

Answer:

im pretty sure its 14

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

6/9 in simplest form is 2/3. That's the scale factor :)

Answer:

14

Step-by-step explanation:

Answer:

area = 153.94

circumfrence = 43.98

Step-by-step explanation:

A=πr2=π·72≈153.93804

C=2πr=2·π·7≈43.9823

Answer:

D. [tex]\frac{2x+1}{x-8}[/tex]

Step-by-step explanation:

[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]

Correct choice is D

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

P(x) = R(x) - C(x)

P(x) = 2x^4 – 3x^3 + 2x – 1 - ( x^4 – x^2 + 2x + 3)

P(x) = 2x^4 – 3x^3 + 2x – 1 - x^4 + x^2 - 2x - 3

Collect the like terms

P(x) = 2x^4-x^4-3x^3+x^2+2x-2x-1-3

P(x) = x^4-3x^3+x^2+0-4

P(x) = x^4-3x^3+x^2-4

Hence the required profit function P(x) is x^4-3x^3+x^2-4

Answer:

x^4-3x^3+x^2-4

Step-by-step explanation:

Answer:

The diameter is 21 cm

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³, or (in terms of the diameter)  V = (4/3)π(d/2)³.  This simplifies to

       4πd³          πd³

V = ----------- = -----------

        3·8               6

Now equate V = (πd³/6) to 4851 cm³.  We must first solve this for d³ and then take the cube root of the result:

πd³ = 4851(6) = 29106.

Dividing this result by π yields 9264.7,

and taking the cube root of this is 21.  The diameter is 21 cm

Answer:

(x + 3)^2 + y^2 = 20^2

Step-by-step explanation:

If the center is (-3, 0), then the standard equation of a circle, (x - h)^2 + (y - k)^2 = r^2 becomes (x + 3)^2 + (y - 0)^2 = 20^2, or

(x + 3)^2 + y^2 = 20^2

Answer:

x = 30

ABC = 90

ACB = 30

Step-by-step explanation:

We know that if we add the 3 angles of a triangle together, it will come out to be 180 degrees, so..

60 + x + 3x = 180       subtract 60 from both sides and simplify

4x = 120          divide both sides by 4

x = 30

ABC = 3x

ABC = 3(30)

ABC = 90