find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2. ​

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

Step-by-step explanation:

In order to find Volume for a rectangle use the formula: L * W * H

2 1/4 * 3/4 * 1 1/4 = 2 7/64

A cube with the side lengths of 1/4:   1/4 * 1/4 * 1/4 = 1/64

Divide 1/64, by the prisms volume, 2 7/64 to get 135.

I'm not sure if this is right, but I hope that helps! :)

Answer:

complementary angle: 63

supplementary angle: 153

Step-by-step explanation:

Complementary angles mean angles that add up to 90.  Therefore 90-27=63

Supplementary angles are angles that add up to 180. Therefore 180-27=153

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:

f(5).g(5)

Step-by-step explanation:

(fg)=(f.g)

this is how it starts: (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

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:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex

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:

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:

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:

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:

So this is the inverse function

Please say ---- solve for the inverse f(x)

instead of  ---- solve for f^-1(x)

x/4 division is the opposite of multiplication

so instead of multiplying by 4 we divide by 4

:)

Thanks for the question, Im working up to get a brainly answer and Master Answerer.

:)

Step-by-step explanation:

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:

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:

Yes it is

Step-by-step explanation:

If you us a formula you can predict data points that are not on a graph

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign

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:

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:

Step-by-step explanation:

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

Double angle identity:

[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]

If you know [tex]\cos\theta[/tex], just plug it in.

Answer:

b 1

Step-by-step explanation:

Answer:

18 square meters

Step-by-step explanation:

Answer:

solution,

The given figure if a Trapezium whose parallel sides are of 3 m and 2 m respectively.

Distance between the parallels sides

i.e. height is 3 m

Now,

[tex]area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height \\ = \frac{1}{2} \times (3 + 2) \times 3 \\ = \frac{1}{2} \times 5 \times 3 \\ = \frac{15}{2} \\ = 7.5 \: {m}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

f⁻¹(-2)=3

f⁻¹(1)=0

Step-by-step explanation:

inverse function flips x any coordinate into y and x

I put the wrong answer

Answer:

Some examples of integers are -1, 0, and 1.

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:

[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.