a tree diagram represents an experiment consisting of two trails.

P(A and D) = [?]

Answer:

2√2 / (5√2 + 7)

Step-by-step explanation:

Given :

Expanding

Answer:

[tex]-14\sqrt{2}+20[/tex]

Step-by-step explanation:

[tex]\textsf{Substituting}\quad x=1+\sqrt2\quad\textsf{into}\quad\left(\dfrac{x-1}{x}\right)^3[/tex]

[tex]\implies \left(\dfrac{(1+\sqrt2)-1}{(1+\sqrt2)}\right)^3[/tex]

[tex]\implies \left(\dfrac{\sqrt2}{1+\sqrt2}\right)^3[/tex]

[tex]\textsf{Apply exponent rule}:\left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{(1+\sqrt2)^3}[/tex]

Expand numerator:

[tex](\sqrt{2} )^3=\sqrt{2}\sqrt{2}\sqrt{2}=2\sqrt{2}[/tex]

Expand denominator:

[tex]\begin{aligned}(1+\sqrt2)^3 & = (1+\sqrt2)(1+\sqrt2)(1+\sqrt2)\\ & =(1+\sqrt2)(1+2\sqrt{2}+2)\\ & =1+2\sqrt{2}+2+\sqrt{2}+2\sqrt{2}\sqrt{2}+2\sqrt{2}\\ & = 7+5\sqrt{2}\end{aligned}[/tex]

[tex]\implies \dfrac{(\sqrt2)^3}{7+5\sqrt2}[/tex]

Substituting expanded numerator and denominator:

[tex]\implies \dfrac{2\sqrt{2}}{7+5\sqrt2}[/tex]

[tex]\textsf{Mulitply by conjugate :}\quad\dfrac{7-5\sqrt2}{7-5\sqrt2}[/tex]

[tex]\implies \dfrac{2\sqrt{2}(7-5\sqrt2)}{(7+5\sqrt2)(7-5\sqrt2)}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{49-50}[/tex]

[tex]\implies \dfrac{14\sqrt{2}-20}{-1}[/tex]

[tex]\implies -14\sqrt{2}+20[/tex]

Answer:

1 day = 24 hours

Divide each of the "number of hours spent sleeping" by the total number of hours in a day (24).  Then divide the numerator and denominator by the highes common factor to reduce the fraction to its simplest equivalent.

[tex]\sf Cat=\dfrac{12}{24}=\dfrac{12 \div 12}{24 \div 12}=\dfrac{1}{2}[/tex]

[tex]\sf Cow=\dfrac{4}{24}=\dfrac{4 \div 4}{24 \div 4}=\dfrac{1}{6}[/tex]

[tex]\sf Squirrel=\dfrac{15}{24}=\dfrac{15 \div 3}{24 \div 3}=\dfrac{5}{8}[/tex]

[tex]\sf Tiger=\dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]

Answer:

254,000

Step-by-step explanation:

What is 25.4 x 10 to the 4th power?

Translate:

25.4 * 10⁴

25.4 * 10,000

Here, we will be moving the decimal four times to the right:

25.4 * 10,000

254,000

Note: if you're not sure, you can always use a calculator to double check :)

Hope this helps!

Answer: 150 kilometers

Step-by-step explanation:

if it's 30 units of 5 kilometers then you multiply it

5x30=150

Answer:

83%

Step-by-step explanation:

Answer:

85 tickets for 20 dollars and 60 for 30

Step-by-step explanation:

my smart friend in AP calc said so

Answer:

2w-12

Step-by-step explanation:

Jose = 2x(Maria's weight) -12

j = 2w -12

Answer:

-8.5

Step-by-step explanation:

this is because the more negative a number is, the less value it is, hence -8.5 is greater than -15.

Answer:

each apple would cost $4,28

The cost of each bag of apples is 4.28 dollars.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have been given that Meena buys cookies and apples at the store.

Meena pays a total amount of $24.02.

She pays a total amount of $6.90 for the cookies.

She buys 4 bags of apples which each cost the same amount.

The total cost of apples = 24.02 - 6.90

= 17.12

Therefore, each bag of apples cost = 17.12/ 4 = 4.28

Hence, the cost of each bag of apples is 4.28 dollars.

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Answer:

1.) 400, all you have to do is subtract the two populations and it gives you the amount that it grew by.

2.) it took 2 years, because that is the difference between 2005 and 2007.

3.)if you could tell me the option then that might help? but it grew on an average of 200 students per year.

4.)1002 would be the answer because if it goes down by 200 a year, then you have to subtract 2002-1000 giving you the answer

Step-by-step explanation:

hope this helps.

Answer:

5 3/4 cups.

Step-by-step explanation:

Subtract the two amounts.

6 5/8 - 7/8

Make 6 5/8 an improper fraction by multiplying the 8 and 6 then adding 5.

8 x 6 = 48

48 + 5 = 53

53/8

53/8 - 7/8 = 46/8

Convert back into a mixed number by dividing.

46/8 = 5 6/8

reduce the fraction

5 3/4

Answer:

given below

Step-by-step explanation:

1 a. Sample space : 2 green, 1 red, 10 blue

b. Sample space : top surface, bottom surface, curved surface ( side)

c. shooting a free throw in a basketball game ( sorry I dont know this one )

The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.

The center is the point that is equidistant to every point on the circumference. First, we need to determine the coefficients of the general equation of the circle, whose form is described below:

x² + y² + D · x + E · y + F = 0   (1)

We need three distinct points of the circumference to determine one solution.

If we know that (x₁, y₁) = (1, 2), (x₂, y₂) = (3, 4) and (x₃, y₃) = (3, 2), then the system of linear equations is:

D + 2 · E + F = -5   (2)

3 · D + 4 · E + F = - 25   (3)

3 · D + 2 · E + F =  - 13   (4)

The solution of the linear system is D = - 4, E = - 6 and F = 11.

Now we proceed to transform the expression into its standard form by completing the squares:

x² + y² - 4 · x - 6 · y + 11 = 0

(x² - 4 · x + 4) + (y² - 6 · y + 9) - 2 = 0

(x - 2)² + (y - 3)² = 2

The coordinates of the point equidistant from their position is C(x,y) = (2, 3) and the equation of the locus is (x - 2)² + (y - 3)² = 2.

To learn more on circumferences, we kindly invite to check this verified question: https://brainly.com/question/4268218

Answer:

Answer below in the picture

I hope my answer helps.

Answer:

Length: 33 ft

Width or side: 7 ft

Step-by-step explanation:

Check the attachment.

Answer:

54

Step-by-step explanation:

We know that a circle is 360 degrees. Therefore, ↓

360° -----------> 100%

x°-----------> 15%

[tex]x = \frac{15}{100} \times 360 \\ = 54[/tex]

Hope this helps =)

Answer:

5 orange slices will be in each bag with 1 left over

Step-by-step explanation:

36 ÷ 7 = 5 with a remainder of 1

Answer:

Given : line y=mx+4 intersects the curve y=3x2 −4x+7at two distinct points.

To find :   set of values of m

Step-by-step explanation:

y = mx  + 4

y = 3x² − 4x + 7

Substitute y = mx + 4  to find intersection point

mx + 4  = 3x² − 4x + 7

=>  3x² - x(m + 4) + 3 = 0

(m + 4)² > 4(3)(3)  

=> m² + 8m + 16 >  36

=> m² + 8m - 20 >  0

=> (m + 10)(m - 2) >  0

m <  - 10  & m > 2

m  = (-∞ , - 10) ∪ ( 2 , ∞ )

AE= 17.4 to nearest tenth

Step-by-step explanation:

Opposite + hypotenuse = SOH / sin

Sin 31 = 6/h

xh, then ÷ sin31

H= 6/sin31

H= 11.649....(a or b & 6 being a or b)

a^2 + b^2 = c^2

c = 13.1

Actually it's not a right-angle triangle

180 - 13+31 (or 44) = 136 degrees

Cosine rule: a^2=b^2+c^2 - 2bc cosA

AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136

= 17.3791......

AE= 17.4 to nearest tenth

Hope this helps!

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &20000\\ r=rate\to 30\%\to \frac{30}{100}\dotfill &0.3\\ t=\textit{elapsed time}\dotfill &5\\ \end{cases} \\\\\\ A=20000(1 - 0.3)^{5}\implies A=20000(0.7)^5\implies A=3361.4[/tex]

Answer:

A.) 21.95

B.)22.47

Step-by-step explanation:

A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]

B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.

[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]

Answer:

D. Subtract 4 from both sides

Step-by-step explanation:

When you're solving a quadratic equation you want to use the quadratic formula [tex]\frac{-b+ \sqrt[]{b^{2} -4ac } }{2a}[/tex].
To get the quadratic equation into this form, you first need to convert it into [tex]ax^{2} +bx+c=0[/tex] which means the first step would be to subtract 4 on both sides.

Answer:

52ft²

Step-by-step explanation:

Explanation is in photo

Answer:

so the lol is the very nice in the lol morning in the 1098 in 1233 because is use the lol in morning.

Answer:

The answer is B

Step-by-step explanation:

Because the exponent shows how many times you multiply that number

Example: 8^2 would be 8x8 because it is to the second power

Hopefully this helps

Answer:

Step-by-step explanation:

8•8•8•8•8 is the correct answer

Answer:

B) 75 cm

Step-by-step explanation:

A = bh

(b =base & h = height)

therefore

area = 5 × 15

= 75 cm

I think this will helpful to you

give me a brainliest

Answer:

99.9 [tex]cm^{2}[/tex]

Step-by-step explanation:

Given, AB=13 cm, BC=4 cm

AC is the diagonal of parallelogram ABCD.

Also AC=16 cm

We know, △ABC≅△ACD     [S−S−S Congruence]

Also, area of parallelogram ABCD = Area of △ABC + Area of △ACD

                                            = 2 × Area of △ABC

                                            = [tex]2\sqrt{s(s-13)(s-4)(s-15)}[/tex]

         [tex]s= \frac{13+15+4}{2}[/tex]                 = [tex]2\sqrt{16(16-13)(16-4)(16-15)}[/tex]

             = 16                          = 99.9