Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than he read on day one. On the third day, he reads six pages less than he reads on the first day. If he has read the entire book that contains 458 pages, how many pages did he read on day three?

Answer:

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

Answer: Yeah and ?

Step-by-step explanation:

Answer:

(15,-5)

Step-by-step explanation:

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

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:

15 people

Step-by-step explanation:

let x=total # of people on the team

80%=12

80/100=12/x

cross multiply

80x=1200

division property of equality (divide both sides by 80)

x=15

There are 15 people on the team.

Answer:

38x

Step-by-step explanation:

The volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

From the question, we are to determine the volume of the box

The volume of a box is given by the formula,

V = l × w × h

Where V is the volume

l is the length

w is the width

h is the height or depth

From the given information,

l = 3/4 inch

w = 1/2 inch

h = 1/4 inch

Thus,

Volume of the box = 3/4 × 1/2 × 1/4

Volume of the box = 3/32 inch³

Hence, the volume of the box is 3/32 inch³. The correct option is C: 3/32 inch ^3

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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:

The time of fall is 9 seconds

Step-by-step explanation:

We are asked to find the time between when the penny was dropped and when it landed.

To do this, we have to start with what we are given and see how we can relate it to find what we are looking for.

From the problem, we are given the equation which represents the height which the penny travels as it falls. It is given by

[tex]h(t) = 16t^2 - 144.[/tex] ----------- equation 1

in addition to that, we are also given that h = 144ft at the end of the fall; that is, where t = t max, and h = hmax

Hence, it is safe to say that at the end of the fall, that the heigh is no more changing. This means that dh/dt = 0

We can now differentiate equation 1 above to get

h max  = 16t - 0 ------------- equation 2

recall that h max = 144

plugging the value of h max into equation 2, we have

144 = 16t

t = 9 seconds

Therefore the time of fall is 9 seconds

Answer:

t= 3 seconds

Step-by-step explanation:

I took the quiz and this is the answer

Answer:

160

Step-by-step explanation:

Add up all the numbers

48 + 67 + 16 + 29 = 160

Answer: D. 160

Step-by-step explanation:

Answer:

its 56 units square.

Step-by-step explanation:

(count the tiles in the shaded figure, you'll get the area)

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:

-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

The volume of the jewelry box is 60 1/2 cubic inches.

The area of a square with a side length of 5 1/2 inches can be found by multiplying the length of one side by itself, giving:

Area = (5 1/2) × (5 1/2) = 30 1/4 square inches

The height of the box is 2 inches.

Therefore, the volume of the jewelry box can be found by multiplying the area of the base by the height of the box, giving:

Volume = Area x Height = (30 1/4) × 2 = 60 1/2 cubic inches

Thus, the volume of the jewelry box is 60 1/2 cubic inches.

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Answer:

...

Step-by-step explanation:

Answer:

so you have a 40% chance or 2/5 chance

Step-by-step explanation:

30 numbers in total

12 are less than 13

so you have a 12/30

simplify

2/5 = 0.4 or 40%

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:

51

Step-by-step explanation:

The two tangent lines can be set equal to each other

10x - 19 = 4x + 23

Solve for x

10x - 19 = 4x + 23

-4x         -4x

6x - 19 = 23

    +19    +19

6x = 42

6       6

x = 7

Plug in x and solve for FE

10x - 19 = 10(7)-19 = 51

Answer:

the percentage of the farms were in SOuth caroline is 1.10%

Step-by-step explanation:

The computation of the percentage of the farms were in SOuth caroline is shown below:

= NUmber of farms in south carolina ÷ number of farms in united states

= 24000 ÷ 2172000

= 1.10%

Hence, the percentage of the farms were in SOuth caroline is 1.10%

We simply used the above formula so that the percentage could come

Answer:

3x-3

Step-by-step explanation:

You have to combine like terms. x and 2x have the same variable, so this equals 3x, and then you subtract 3 so:

x-3=2x-3-x

    =3x-3

Answer:

4 people per car

Step-by-step explanation:

To find the unit rate we would have to do

20/5=4

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:

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = -5 - (-8) = - 5 + 8 = 3

a₁ = -8

Therefore:

               [tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]

Given:

The inequality is:

[tex]y>5x+3[/tex]

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]            ...(i)

Where, m is the slope and b is the y-intercept.

We have,

[tex]y>5x+3[/tex]

The relation equation is:

[tex]y=5x+3[/tex]             ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

[tex]b=3[/tex]

It means the slope is 5 and the y-intercept is 3.

The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.

Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

Answer:

-3 85-88 lets turn that around 88-85 is 3 but the problem is 85-88 so its -3

Step-by-step explanation:

Answer:-3 (88-85=3

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

Answer:

2nd option

;)

I did this before-

Step-by-step explanation:

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]

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Answer:

im pretty sure its 14

Step-by-step explanation:

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