How many revolutions must be made by a wheel of diameter 2.8m in order to cover a distance of 484km?

Answer:

It's B. (2x+5) (x+4)

Answer:

b

Step-by-step explanation:

2x²+13x+20

You can just try all the answers if you'd like and see which one equals 2x²+13x+20.

Using FOIL for all of them:

a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20

b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20

c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20

d. is obviously not correct since we already have an answer.

Our answer is b. (2x+5)(x+4)

Answer:

C

Step-by-step explanation:

Multiply the 1.5 hours per pound by 2.75 pounds and we get 4.125 hours or    4 1/8

Answer:

C: 4 1/8

Step-by-step explanation:

i took the quiz

Answer:

you are assuming that everyone in the class took the test. 33 people took the test but there could be more in the class but they were just not there for the test.

Answer:

81.64

Step-by-step explanation:

2(3.14)=6.28

6.28*13=81.64

Plug r into the equation provided...

c = 2(3.14)(13)

c = 81.64cm

Answer:

D. 4

Step-by-step explanation:

[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4[/tex]

Answer:

4224

Step-by-step explanation:

Here, we want to calculate the sum of the first 44 digits

Term a which is first digit is 10

common difference which is difference of terms = 14-10 = 18-14 = 4

Now the nth term of an arithmetic sequence is

a + (n-1)d

44th term means n = 44

10 + (44-1)4

10 + 43(4)

10 + 172 = 182

To find the sum, we use the formula

Sn = n/2[a + L]

where a is the first term and L is the 44th term

Sn = 44/2 (10 + 182)

Sn = 22(192)

Sn = 4,224

Answer:

a) 1/21

b) 8/21

Complete question:

There are seven tiles:

1,1,3,3,3,5,5

Tom takes a tile at random. He does NOT replace the tile.

Tom then takes another tile at random.

a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Step-by-step explanation:

Total number of tiles = 7

Let Probability of having number 1 on the tiles = Pr (having 1)

Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)

Number of times 1 appears on tiles = 2

Pr (having 1) = 2/7

Two tiles are drawn without replacement:

Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)

= Pr (having 1) × Pr (having 1)

Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.

= 2/7 × 1/6

= 2/42

Probability of both tiles having number 1 on them = 1/21

b) If 1st tile = 1, the second tile could be = 3 or 5

The pairs = Pr(1 and 3) and Pr(1 and 5)

Where Pr = probability

The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6

Number of times 3 appears on tiles = 3

Number of times 5 appears on tiles = 2

Pr(1 and 3) = (2/7 × 3/6) = 1/7

Pr(1 and 5) = (2/7 × 2/6) = 2/21

If 1st tile = 3, the second tile = 5

Pr(3 and 5) = (3/7 × 2/6) = 1/7

If 1st tile = 5, the second tile = 0 (no number is greater than 5

Pr(5 and 0) = 0

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)

= 1/7 + 2/21 + 1/7 + 0

= (3+2+3)/21 = 8/21

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21

Answer:

b 1

Step-by-step explanation:

I put the wrong answer

Answer:

even = 1/2

prime = 1/2

multiple of 5 = 1/6

Step-by-step explanation:

probability is the chances of obtaining a certain result out of many attempts.

when rolling a die, the maximum number of results you can get is 6

Then, calculate how many times each of the occurrences appear(even, prime or multiples of 5)

Even = There are only 3 even numbers from 1 to 6

Prime: There are only 3 primes from 1 to 6

Multiples of 5 = There is only one multiple of 5.

Now you present each of this out of 6:

Even: 3/6 = 1/2

Prime: 3/6 = 1/2

Multiple of 5 = 1/6

This can also be presented as a decimal or percentage:

Even: 50% = 0.5

Prime: 50% = 0.5

Multiple of 5 = 16.67% = 0.16

Hope this helps.

Good Luck

Answer:

143

Step-by-step explanation:

Since the values of x y and z are given

Substitute the value in the polynomial, so it'll become,

x+yz+xyz

= (3)+(-5)*(-7)+(3)*(-5)*(-7)

= 3+35+(3)*(-7)*(-5)

{Two negatives when multiplied becomes positive}

=3+35+3*35

= 3+35+105

=143

Answer:

the answer is 0.84

Step-by-step explanation:

assume the two numbers are on a number line and take the absolute value of their difference

_________________________________

Solution,

30% of 400

= 30/100*400

=120

120 yellow water bottles were in the shipment.

Hope it helps

Good luck on your assignment

__________________________________

Answer:

133

Step-by-step explanation:

Answer is 133

[tex]answer \\ = 133 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

The side lengths of triangle ABC are 6, 6.67 and 5.33

Step-by-step explanation:

In this question, we are interested in calculating the lengths of triangle ABC

ED: AC = 3:4

4.5:AC = 3:4

4.5/AC = 3/4

3AC = 4 * 4.5

3AC = 18

AC = 18/3 = 6

EB:AB = 3:4

5/AB = 3/4

3AB = 4 * 5

3AB = 20

AB = 20/3 = 6.67

DB:CB = 3/4

4/CB = 3/4

3CB = 4 * 4

CB = 16/3 = 5.33

Answer:

Step-by-step explanation:

[tex]2*(3+4x) *2 -5\\6+8x*2-5\\16x =-6-5\\16x = -11\\x = 11/16[/tex]

Answer:

[tex]\dfrac{2s^3+136}{s}[/tex]

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = [tex]34$ ft^3[/tex]

Volume of the box =[tex]s^2h[/tex]

Then:

[tex]s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}[/tex]

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box[tex]= 2(s^2+sh+sh)[/tex]

[tex]S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}[/tex]

Answer:

b) 68%

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Step-by-step explanation:

Let 'X' be the normally distributed

mean 'μ'= 4 inches

standard deviation 'σ' = 0.2 inches

Case(i):-

when x₁ = 3.8 inches

[tex]Z_{1} = \frac{x_{1}-mean }{S.D} = \frac{3.8-4}{0.2} = -1[/tex]

Case(ii):-

when  x₂= 3.8 inches

[tex]Z_{2} = \frac{x_{2}-mean }{S.D} = \frac{4.2-4}{0.2} = 1[/tex]

The probability of the parts will have lengths between 3.8 in and 4.2 in

[tex]P( 3.8\leq x\leq 4.2) = P(-1\leq z\leq 1)[/tex]

                        = P(Z≤1) - P(Z≤-1)

                        =  0.5 +A(1) -(0.5-A(1)

                       = 2 A(1)

                       = 2×0.3413

                      = 0.6826

Conclusion:-

The percentage of the parts will have lengths between 3.8 in. and 4.2 in

P( 3.8 ≤ x ≤ 4.2) = 0.6826 = 68 %

Answer:

B

Step-by-step explanation:

E2020

Answer:

f^-1(3) = 1.719 or  f^-1(3) = 0.149

Step-by-step explanation:

for inverse function x and y coordinates are flipping so graph the function and find for what x - coordinate y- coordinate = 3

in case that f(x) = [tex]2x + \frac{1}{x-4}[/tex] than f^-1(3) = 1.719

in case that f(x) = [tex]2x + \frac{1}{x} -4[/tex] than f^-1(3) = 0.149

Answer: B

B (19/11) when divided = 1.72 repeat

of all the options given, this is the closest to the above answer.

Answer:

a) |z+w|² cannot be uniquely determined from the information provided.

b) |zw|² = [|z| × |w|]² = (4×2)² = 64.

c) |z+w|² cannot be uniquely determined from the information provided.

d) |z/w|² = [|z|/|w|]² = (4/2)² = 4

Step-by-step explanation:

z & w are complex numbers with magnitudes

|z| = 4

|w| = 2

We are the told to find

|z + w|²

|zw|²

|z - w|²

|z/w|²

Let the complex numbers be

z = x + iy

w = a + ib

|z| = √(x² + y²) = 4

|w| = √(a² + b²) = 2

|z|² = x² + y² = 16

|w|² = a² + b² = 4

z+w = (x + iy) + (a + ib) = (x + a) + i(y + b)

|z+w|² = (x + a)² + (y + b)² = x² + 2ax + a² + y² + 2by + b²

= (a² + b²) + (x² + y²) + 2ax + 2by

= |w|² + |z|² + 2ax + 2by

= 4 + 16 + 2ax + 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

zw = (x + iy)(a + ib) = ax + i(bx + ay) - by

= (ax - by) + i(bx + ay)

|zw|² = a²x² + b²y² - 2abxy + b²x² + a²y² + 2abxy

= a²x² + b²y² + b²x² + a²y²

= a²(x² + y²) + b²(x² + y²)

= (a² + b²)(x² + y²)

= |w|² × |z|²

= 4×16

= 64

c) z-w = (x + iy) - (a + ib) = (x - a) + i(y - b)

|z-w|² = (x - a)² + (y - b)²

= x² - 2ax + a² + y² - 2by + b²

= (a² + b²) + (x² + y²) - 2ax - 2by

= |w|² + |z|² - 2ax - 2by

= 4 + 16 - 2ax - 2by

= 20 + 2(ax + by)

This cannot be determined from the information provided.

d) z/w = (x + iy)/(a + ib)

Rationalizing by multiplying numerator and denominator by (a - ib)

(z/w)= [(x + iy)(a - ib)/(a + ib)/(a - ib)]

= [ax - by + i(ay - bx)]/(a² + b²)

|z/w|² = [(ax + by)² + (ay - bx)²]/(a² + b²)²

= [a²x² + b²y² + 2abxy + b²x² + a²y² - 2abxy]/(a⁴ + b⁴ + 2a²b²)

= [a²x² + b²y² + b²x² + a²y²]/[(a² + b²)² - 2a²b² + 2a²b²]

= [(a² + b²)(x² + y²)]/[(a² + b²)²]

= [(x² + y²)/(a² + b²)]

= |z|²/|w|²

= (4/2)²

= 4

Hope this Helps!!!

Answer:

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

2,443 seconds after throwing the ball, it will touch the ground.

Step-by-step explanation:

The function h (t) = - 16t² + 35t + 10 is a quadratic function of the form f (x) = ax² + bx + c, where a = -16, b = 35 and c = 10. To calculate the maximum height, you must then find the maximum of the function. In other words, Quadratic functions have a maximum (if a <0) or a minimum (if a> 0). This point is the vertex of the parabola.

The vertex coordinate on the x axis can be calculated by:

[tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis is obtained by substituting the value of "x vertex" in the function f (x), that is, by calculating f ([tex]\frac{-b}{2*a}[/tex]).

In this case, where h ([tex]\frac{-b}{2*a}[/tex]) is the maximum height:

[tex]t=\frac{-b}{2*a}=\frac{-35}{2*(-16)} =1.09375[/tex]≅ 1.094 seconds

So: h(1.094)= -16*1.094² + 35*1.094 + 10

h(1.094)=29.151

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

To calculate the number of seconds after the ball is thrown it will hit the ground, you must calculate the roots of the quadratic function. For this you must apply:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]  

where x1, x2 are the two roots of the function f(x)=a*x² +b*x + c

In this case:

[tex]t1,t2=\frac{-35+-\sqrt{35^{2}-4*(-16)*10 } }{2*(-16)}[/tex]

Solving, you get t1=-0.256 and t2=2.443

Since the time cannot be negative, 2,443 seconds after throwing the ball, it will touch the ground.

Answer:

3 the patten is the previous subtracted about decrease by 3

Step-by-step explanation: the pattern decrease the number subtracted by 3 so it starts with 15 and goes to 12 then to 9 so the last one would be six and 9 - 6 = 3

Answer:74613

Step-by-step explanation:

n!/r!(n-r)!

22!/6!(22-6)!

=74613

Answer: (b - 4)(b - 3); b = 4 and 3

Step-by-step explanation:

ima assume these are exponents since you didnt care to correctly write the equation.

What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3

So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

Answer:

45 minutes

Step-by-step explanation:

75% is the same as [tex]\frac{3}{4}[/tex]. This means that we can multiply 60 by  [tex]\frac{3}{4}[/tex] to find 75% of 60.

[tex]60*\frac{3}{4} \\\\\frac{180}{4} \\\\\frac{90}{2}\\\\45[/tex]

Answer:

45 minutes

Step-by-step explanation:

Of means multiply

75% * 60

Change to a decimal

.75 * 60

45

45 minutes

Answer: yes

Step-by-step explanation:

They are both equal to 4/5

Answer:

P = 10a +2b+12

Step-by-step explanation:

P = 2 (l+w) for a rectangle

P = 2 ( 4a+b + a+6)

Combine like terms

P = 2(5a+b+6)

Distribute

P = 10a +2b+12

Answer:

Given below

Hope it helps

Step-by-step explanation:

Perimeter= 2(l+b)

= 2(4a+b+a+6)

= 2(5a+b+6)

= 10a+2b+12 cm^2

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign