A bag contains n white tiles and five black tiles. The tiles are all equal in shape and sizes. A tile is drawn at random and is replaced. A second tile is then drawn.
Find
a) the probability that the first tile is white
b) the probability that both the first and second tiles are white

Explanation:

We use the difference of squares rule to say

(m-n)(m+n) = m^2 - n^2

So in this particular case,

(8z-9)(8z+9) = (8z)^2-(9)^2 = 64z^2 - 81

We can see that the 64 matches with the 'a' of the expression az^2-81, which must mean a = 64

Side note: This means b = 81

Answer:

64

Step-by-step explanation:

took the test

Answer:

Range : { -5,1,7}

Step-by-step explanation:

Take the values in the domain and substitute into the equation

x = -3

y = -2(-3) +1 = 6+1 =7

x = 0

y = -2(0) +1 = 0+1 =1

x = 3

y = -2(3) +1 = -6+1 =-5

The range is the y values

We put then in order from smallest to largest

Range : { -5,1,7}

Answer:

Hey there!

6(x-5)

6(7-5)

6(2)

12

Hope this helps :)

Answer:

12

Step-by-step explanation:

Replace x by 7 in 6(x-5) to be able to evaluate the expression.

● 6(x-5)

● 6(7-5)

● 6 × 2

● 12

So the expression is equal to 12 when x=7

Answer:

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

2²+4² = h²

20 = h²

h = √20

h = 2√5

Therefore two sides of the rectangle will 2√5

No using pythagoreus theorem in the bigger triangle

x² + (2√5)² = 9²

x² = 9² - (2√5)²

x² = 81 - 20

x = √61

x = 7.8102496759

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 7.81

Please click thanks and mark brainliest if you like

Answer:

-2

Step-by-step explanation:

Substitute -8 in place of x and you get (-8+2)/3 or -6/3 which is -2

Answer:

g(- 8) = - 2

Step-by-step explanation:

To find g(- 8) substitute x = - 8 into g(x) , that is

g(- 8) = [tex]\frac{-8+2}{3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

B has two pre-images of -7 so it is not a function

B. (-7, 3), (1, 2), (5, 3), (-7, 2)

Since  

x = − 7  produces  y = 3  and  y = 2

So the relation is not a function.

Step-by-step explanation:

I need help to...

I keep putting it in and no one has ever answered it and I'm struggling and getting stressed.

[tex]\\ \qquad\quad\sf\longmapsto m=8+n[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m-n=8[/tex]

if m=1

[tex]\\ \qquad\quad\sf\longmapsto n=m-8=1-8=-7[/tex]

if n=1

[tex]\\ \qquad\quad\sf\longmapsto m=8+1[/tex]

[tex]\\ \qquad\quad\sf\longmapsto m=9[/tex]

Answer:

44

Step-by-step explanation:

Answer:

4 x 4 x 4 =64

4 x 4 x 8 =128

4 x 4 x 12 =192

64+128+192=384³

hope it'll be helping

Answer: Option B

She should use the fact that the

opposite sides of a parallelogram are

congruent and then use the

Pythagorean theorem.

We cannot use the diagonals of square property because this is a rectangle, opposite angles will also not work, and we cannot use the diagonal property because thats what we have to prove.

Must click thanks and mark brainliest

a)

X + Y = 5

2X - Y = 9      

X + 2X + Y - Y = 5 + 9

3X = 14

Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a primeira:

X+ Y = 5

14/3 + Y = 5

Y = 5 - 14/3

.........................

b)

3X - Y = 10

X + Y = 18        

3X + X - Y + Y = 10 + 18

4X = 28

Para Y, basta substituir o valor de X em qualquer uma das 2 equacoes - arbitrariamente. Escolhendo a segunda:

X + Y = 18

7 + Y = 18

Y = 18 - 7

Answer:

M = 45°

Step-by-step explanation:

a²=b²+c²-2bc Cos A

m² = n² + p² - 2np cos M

(5.1)² = (7.2)² + (5.3)² - 2(7.2)(5.3) cos M

26.01 = 51.84 + 28.09 - 76.32 cos M

-53.92 = -76.32 cos M

0.7065 = cos M

M = [tex]cos^{-1 }[/tex](0.7065)

M = 45°

Answer:

Hey mate, here is your answer. Hope it helps you.

Step-by-step explanation:

105x-125y+236z

Now you need to multiply the values which are given for respective variables.

=105*10-125*23+236*54

=1050-2875+12744

=10919

Hi there friend!

The answer: 10,919

First we need to rewrite the problem.

105(10) - 125(23) + 236(54)

Now we need to multiply everything like so it looks like this:

1050 - 2875 + 12744 which equals:

10,919

Answer:

Step-by-step explanation:

1)

[tex]Sin \ \alpha = \frac{oppsoite \ side \ of \alpha }{hypotenuse}=\frac{QR}{PR}\\\\\\Cos \ \alpha = \frac{adjacent \ side \ of \alpha }{hypotenuse}=\frac{PQ}{PR}\\\\\\tan \ \alpha = \frac{oppsoite \ side \ of \alpha }{adjacent \ side \ of \alpha}=\frac{QR}{PQ}\\\\[/tex]

[tex]Sin \ \beta =\frac{opposite \ of\ \beta }{hypotenuse}=\frac{PQ}{PR}\\\\\\Cos \ \beta =\frac{adjacent \ of\ \beta }{hypotenuse}=\frac{QR}{PR}\\\\\\tan \ \beta =\frac{opposite \ of\ \beta }{adjacent \ of\ \beta }=\frac{PQ}{QR}\\\\[/tex]

Hey there! I'm happy to help!

To find the surface area of a sphere, here is what you do.

You square the radius.

4²=16

You multiply by 4.

16×4=64

And you multiply by pi!

64×π=64π

Therefore, the surface area of the sphere is A. 64π units². It's that easy!

Now you can find the surface area of a sphere! Have a wonderful day! :D

Question :-

Answer :-

[tex] \rule{180pt}{3pt}[/tex]

Diagram :-

[tex]\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bold{4 \: units}}\end{picture}[/tex]

Solution :-

As per the provided information in the given question, we have been given that the radius of the sphere is 4 units. We have been asked to find or calculate the surface area of the sphere.

To calculate the surface area of the sphere, we will use the formula below :-

[tex]\bigstar \:\:\:\boxed{\sf{\:\:Surface \: Area_{(Sphere)} = 4\pi r^2 \:\:}}[/tex]

Substitute the given values into the above formula and solve for surface area:

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4\pi r^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 4 \times \pi \times (4 \: units)^2[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = (4 \: units)^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies Surface \: Area_{(Sphere)} = 16 \: units^2 \times 4 \times \pi[/tex]

[tex]\sf:\implies \bold{Surface \: Area_{(Sphere)} = 64\pi \: units^2}[/tex]

Therefore :-

[tex]\\[/tex]

Learn more about the surface area of the sphere at https://brainly.com/question/28988747

Have a great day! <33

Step-by-step explanation:

That is $250-$50=$200

why because he plans to

save $50 per month and

he already has$250to begin

so that explains what i did

Answer:

Step-by-step explanation:

A) 280 Km

B)  When D = 0:  speed, S = 280/59 = 4,9 Km/hour

C) 280 Km

D)  59 hours

Answer:

18 + √3

Step-by-step explanation:

The product of a surd and its conjugate gives a rational number. Hence;

(18 - √3) (18 + √3)

=324 + 18√3 - 18√3 - 3

=321

A rational number does not contain any surd, hence the answer.

Answer: cube root 1/18 & cube root 12

Answer:

3

= 15/5

= [tex]\sqrt[3]{27}[/tex]

= 1.5*2

= 3/1

= 3*1

= 3¹

= 1/3⁻¹

= 3⁴ / 3³

= 3⁵ * 3⁻⁴

Answer:

[tex]\boxed{1}[/tex]

Step-by-step explanation:

When finding the reciprocal of a value, it flips the denominator with the numerator and vice versa.

The number 1 can be represented as the fraction 1/1 and 1 divided by 1 is still equivalent to 1.

Therefore, the reciprocal of 1 will always be 1.

Answer:

Option D, 192 m³

Step-by-step explanation:

Volume = base area × height

= (6×8/2)×8

= 192 m³

actual cost is 950+23,500=24450

he sold them for 25000 so his profit is 25000-950-23500=550

Answer:

A cycle + A scooter

= 950 + 23,500

= 24,450

Profit = Sold - cost

= 25,000 - 24,450

= 550

So the profit is $550

Answer:

5.6m + n - 9.9

Step-by-step explanation:

-(-5.6m-n+9.9)

5.6m + n - 9.9

Answer:

12 mangoes

Step-by-step explanation:

Two types of boxes contains mangoes

The larger box contain 4 mangoes than the number of mangoes that is present in 8 smaller box

Each of the box have a total of 100 mangoes

Let y represent the number of mangoes that is present in the smaller box

Therefore, the number of mangoes in the smaller box can be calculated as follows

8y + 4= 100

Collect the like terms

8y= 100-4

8y= 96

Divide both sides by the coefficient of y which is 8

8y/8= 96/8

y= 12

Hence the number of mangoes that is present in the smaller box is 12

Answer is C

Step-by-step explanation:

I assure you that if you check a,b,c, and d by putting them into desmos graphing calculator you can find which graph it is. I plugged the third equation in and found that they were exact. If you want to do it the "smart" way that I teacher would show you, as you look at the answers and determine by certain points on the graph which one lines up. You start with 1/x.

Good Luck

Answer:

18 feet

Step-by-step explanation:

to find the frame around the widow means need to find the perimeter around the window:

P=2l+2w

P= 2(5+4)

P=18 feet

Answer:

(a²-a+1)(a²+a-1)

Step-by-step explanation:

[tex]Formula\ to\ use:\\x^2-2xy+y^2=(x-y)^2\\\\x^2-y^2=(x-y)(x+y)\\\\a^4-a^2+2a-1\\\\=a^4-(a^2-2a+1)\\\\=a^4-(a-1)^2\\\\=(a^2-(a-1))(a^2+(a-1))\\\\\\=(a^2-a+1)(a^2+a-1)\\[/tex]

Answer:

Hope it will helps you

.

.

Answer:

and w = –2 w = 0, w = 2, and w = 6 w = 0 and w = Three-halves w = 2 and w = 6

hope it's help you...!!!

#rishu

Answer:

The function is not one-to-one

Step-by-step explanation:

This is a quadratic function.

[tex]f(x)=x^2-2[/tex]

A function is one-to-one

[tex]\text{if } f(x_1)=f(x_2) \Leftrightarrow x_1=x_2[/tex]

The function given is not one-to-one because there are values of the input [tex]x[/tex], which leads to the same output.

For example.

[tex]y=f(2)=2^2-2=\boxed{2}[/tex]

[tex]y=f(-2)=(-2)^2-2=\boxed{2}[/tex]