Is AABC-ADEF? If so, identify the similarity postulate or theorem that applies 30- A​

Answer:

[tex]600, 900, 1350[/tex]

Step-by-step explanation:

Given

[tex]a = 400[/tex] -- initial subscribers

[tex]b = 1.5[/tex] -- growth factor

Required

Determine the number of subscribers in the next three months

To do this, we make use of:

[tex]y = ab^x[/tex]

In this case:

x is the number of months

y is the number of subscribers

So:

when x = 1;

[tex]y = ab^x[/tex]

[tex]y = 400 * 1.5^1[/tex]

[tex]y = 400 * 1.5[/tex]

[tex]y = 600[/tex]

when x = 2

[tex]y = 400 * 1.5^2[/tex]

[tex]y = 400 * 2.25[/tex]

[tex]y = 900[/tex]

when x= 3

[tex]y = 400 * 1.5^3[/tex]

[tex]y = 400 * 3.375[/tex]

[tex]y = 1350[/tex]

So, the next three number of subscribers is:

[tex]600, 900, 1350[/tex]

Answer:

-1.6 < √2 - 3 < -1.5

Step-by-step explanation:

√2  - 3 = -1.58

-1.5 is closer to 0 so it is larger than -1.5 and -1.6 is father from 0 than -1.58 and -1.5 so its less than

Answer:

5/8+1/8=1/8×{5+1)=6/8=3/4

5/8-1/8=1/8×{5-1)=4/8=1/2

Answer:

f(x) = (1/10)x²

Step-by-step explanation:

This is the answer that  I think it is but I am not sure if it is right...

Hope this helps!

Step-by-step explanation:

4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8

42 divided 8

5,25

cmiiw!

Answer:

No picture so I can’t answer the question

Step-by-step explanation:

Answer:

Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala

Each of these limits correspond to the derivative of some function f(x) at a point x = a.

Recall the limit definition of a function f(x) :

f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h

Then if x = a, we get

f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h

From here, it's easy to identify what each function and point should be:

(a) f (a + h) = (1 + h)¹ʹ³   →   f(x) = x ¹ʹ³ and a = 1

(that's a 1/3 in the exponent)

(b) f (a + h) = cos(π + h)   →   f(x) = cos(x) and a = π

(c) f (a + h) = 5 (4 + h)⁵   →   f(x) = 5x ⁵ and a = 4

(d) f (a + h) = exp(4h) = exp(4 (0 + h))   →   f(x) = exp(4x) and a = 0

(where exp(x) = eˣ )

Answer:

x = 11

Step-by-step explanation:

sides of triangle measure: 'x', '4x-2' and '4x-2' since isosceles means both legs are equal

perimeter is the sum of all sides, so set up equation:

95 = 4x - 2 + 4x - 2 + x

95 = 8x - 4 + x

95 = 9x - 4

99 = 9x

x = 11

Answer:

(5,-6) is a solution

Step-by-step explanation:

Given

[tex]6x + 3y = 12[/tex]

[tex]4x + y = 14[/tex]

Required

Tell whether (5,-6) is a solution

In (5,-6): x = 5 and y = -6.

Substitute these values in the given equations

[tex]6x + 3y = 12[/tex] becomes

[tex]6 * 5 + 3 * -6 = 12[/tex]

[tex]30-18 = 12[/tex]

[tex]12 = 12[/tex]

[tex]4x + y = 14[/tex] becomes

[tex]4 * 5 - 6 = 14[/tex]

[tex]20 - 6 = 14[/tex]

[tex]14 = 14[/tex]

Because both solutions are true, then (5,-6) is a solution

Answer: C. 254

Step-by-step explanation: All engineers is the population so this is stats and the number that chose math no matter what kind of engineer is 254

Step-by-step explanation:

2. x =101

3. x= 120

4. x= 30

I am very confused in question no 1 and 5 th .

hope this will be helpful to you.

plz mark my answer as brainlist if you find it useful .

The volume of the rectangular prism is V = 936 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

To find the volume of the figure, we need to calculate the volumes of the two rectangular prisms separately and then add them together.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

For the first prism:

Length = 12 centimeters

Width = 9 centimeters

Height = 2 centimeters

Volume of first prism = 12 cm x 9 cm x 2 cm = 216 centimeters³

For the second prism:

Length = 10 centimeters

Width = 9 centimeters

Height = 8 centimeters

Volume of second prism = 10 cm x 9 cm x 8 cm = 720 centimeters³

Now, we add the volumes of the two prisms together to get the total volume of the figure:

216 cubic centimeters + 720 cubic centimeters = 936 centimeters³

Hence , the rectangular prism has volume of 936 cm³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ3

Answer:

680 girls and 850 boys

Step-by-step explanation:

the ratio of girls is 4/9

then we can find the number of girls (G) in the group of 1530 students using proportions:

4 / 9 = G / 1530

solving for G by multiplying both sides of the proportion by 1530, we get:

G = 4 * 1530 / 9 = 680

So there were:

680 girls and 1530 - 680 = 850 boys

Answer:

the answer will be

girls 680

boys 850

Answer:

x = 3

Step-by-step explanation:

Using the triangle similarity theorem

x/x+3 = x+3/12

Cross multiply

12x = (x+3)(x+3)

12x = x²+3x+3x+9

12x =  x²+6x+9

x²+6x+9-12x = 0

x²-6x+9 = 0

Factorize

x²-3x-3x+9 = 0

x(x-3)-3(x-3) = 0

x - 3 = 0

x = 3 twice

Hence the value of x is 3

Answer:

The product of (k + 1) series starts with 3 (because k = 2) and you need 2 to be multiplied to this in order to get (n + 1)!

Therefore you need to multiply 2 and 1/2 to make it right. 2 completes the factorial and 1/2 remains.

Hope it was clear explanation.

Answer:

See Explanation

Step-by-step explanation:

Required

Prove that Dexter is wrong

To prove that Dexter is wrong, we use the following numbers.

[tex]Number = 4[/tex]

The factors are:

[tex]Factor = 1,2\ and\ 4[/tex]

3 factors

Using a greater number:

[tex]Number = 5[/tex]

The factors are:

[tex]Factor = 1\ and\ 5[/tex]

2 factors

From the above analysis:

4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors

This shows that Dexter is wrong

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

Answer:

ayooo i'll take it

Step-by-step explanation:

thanks

Answer:

Ooh a couple more for 100 points!!

Step-by-step explanation:

=============================================================

Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)

Answer:

8 is 10trillion and 7 is 1 million hope this helps!

Step-by-step explanation:

Answer:

Beck actually caught 45 fish

Step-by-step explanation:

System of Equations

We call the following variables:

x = number of fish Ally caught

y = number of fish Beck caught

They caught a total of 75 fish, thus:

x + y = 75      [1]

If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:

3y = 2x + 75      [2]

From [1]:

x = 75 - y      [3]

Substituting in [2]:

3y = 2(75 - y) + 75

Operating:

3y = 150 - 2y + 75

Simplifying:

5y = 225

Dividing by 5:

y = 45

Beck actually caught 45 fish

Answer:

Beck caught 45 fish

Step-by-step explanation:

a = number of fish Ally caught

b = number of fish Beck caught

They caught a total of 75 fish, so we have:

b + a = 75  

From the facts in our question we know Ally would have caught 75 fewer fish than Beck.

3b = 2a + 75  

a = 75 - b

3b = 2(75 - b) + 75

3b = 150 - 2b + 75

5b = 225

5b ÷ 5 = 225 ÷ 5

b = 45

Beck caught 45 fish.

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]

Now,

The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

So,

Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]

= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]

∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]

                            = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]

                           = [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]

                           = [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

Answer:

B

Step-by-step explanation:

C its C hopes this helps

Answer:

0.3636363636363636

Step-by-step explanation:

Its a repeating decimal because 4 cannot  be divided by 11

There ya' go :]

Answer:

y = 0.8x

Step-by-step explanation:

y = x-0.2x

y=x(1-0.2)

y=x(0.8)

hence y = 0.8x

Answer:

A≈4536.46

Step-by-step explanation:

I hope this helps! ^^

☁️☁️☁️☁️☁️☁️☁️

Answer:

Radius 19

A ≈ 4536.46 .....ans