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Answer:

In group A, they have at least one 90 degree angle. In Group B, they do not have any 90 degree angles.

Answer:

x² - 4x + 12

Step-by-step explanation:

x=2+2.82843i

x=2−2.82843i

Step-by-step explanation:

b > 1 is growth. decay would be less than 1

The exponential growth the term b>1

But sometimes things can grow (or the opposite: decay) exponentially, at least for a while.

So we have a generally useful formula:

y(t) = a × ekt

Where y(t) = value at time "t"

a = value at the start

k = rate of growth (when >0) or decay (when <0)

t = time

for example,

Example: 2 months ago you had 3 mice, you now have 18. What is the "k" value? How many mice 2 Months from now? How many mice 1 Year from now?

Start with the formula:

y(t) = a × ekt

We know a=3 mice, t=2 months, and right now y(2)=18 mice:

18 = 3 × e2k

Now some algebra to solve for k:

Divide both sides by 3: 6 = e2k

Take the natural logarithm of both sides: ln(6) = ln(e2k)

ln(ex)=x, so: ln(6) = 2k

Swap sides: 2k = ln(6)

Divide by 2: k = ln(6)/2

Notes:

The step where we used ln(ex)=x is explained at Exponents and Logarithms.

we could calculate k ≈ 0.896, but it is best to keep it as k = ln(6)/2 until we do our final calculations.

We can now put k = ln(6)/2 into our formula from before:

y(t) = 3 e(ln(6)/2)t

Now let's calculate the population in 2 more months (at t=4 months):

y(4) = 3 e(ln(6)/2)×4 = 108

And in 1 year from now (t=14 months):

y(14) = 3 e(ln(6)/2)×14 = 839,808

As, per the formula for exponential growth the factor b will tells whether there is exponential growth or decay.

so, when b>1 then it is exponential growth and b<1 shows decays.

Learn more about exponential growth here:

https://brainly.com/question/11487261

#SPJ2

Answer:

15 in.

Step-by-step explanation

AREA OF A TRIANGLE= B X H / 2

6 X 5=30

30/2=15

if the 20% of a number is 386, what will be 30% of the same number

Answer will be 157

If 20% of a number is 386,  30% of the same number is 579

Let the number be x.

So,we have:

20% * x = 386

Express 20% as 0.20

0.20 * x = 386

Divide both sides by 0.20

x = 1930

30% of the number is represented as:

30% * 1930

Evaluate the product

30% * 1930 = 579

Hence, 30% of the same number is 579

Read more about percentage at:

https://brainly.com/question/11360390

Answer:

4 liters

Step-by-step explanation:

Answer:

option 3)

14% approx

Step-by-step explanation:

Given data

Initial= $18.00

final =$20.50

% increase= final - initial/initia *100

% increase= 20.50-18.0/18*100

% increase=2.5/18*100

% increase=0.138*100

% increase=13.8%

Hence the increase is 13.8%

=14% approx

Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.

Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.

For example if angle 1 was 45 degrees, angle 3 would also be 45 degrees and angle 2 and angle 4 would be 180-45 = 135 degrees.

Answer:

9π

Step-by-step explanation:

D = r/2 = 6

r = 3

A = r²π

9π = A

Answer:

Explanation:

Hope you get it!

Answer:

Lever turns about a fixed point called a fulcrum.

Step-by-step explanation:

hope it helps..

Answer:

lever

Step-by-step explanation:

Answer: 40 phones

Step-by-step explanation:

The company expects that every 2 out of 25 phones will have some form of defect.

In percentage terms, this is:

= 2 / 25 * 100%

= 8%

If there are 500 phones therefore, the defected phones would still be the same percentage and the actual number would be:

= 8 % * 500

= 40 phones

Answer:

this answer for this question

y=833

Answer:

y = x^2 + 4x - 7

y=833

Step-by-step explanation:

brainliest?

Answer:

He pulled out his hare

Step-by-step explanation:

answer the questions correctly and put them in order

Answer:

A≈$2819

Step-by-step explanation:

In this case P=$2500, r=3%, t=4

Answer:

A

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

spent = 1/6 + 1/3 = 1/2

1/2 x 36 = $18

Answer :_

18$

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Answer:

The answer is 20 meters squared

base area = side^2 = 2^2 = 4 m^2

base perimeter = (2 x 4) = 8 m

lateral surface = (base perimeter x slant height)/2 = (8 x 4)/2 = 16 m^2

surface area = (base area + lateral surface) = (4 + 16)= 20m^2

Answer:

20m^2

Step-by-step explanation:

base area = side^2 = 2^2 = 4 m^2

base perimeter = 2 x 4 = 8 m

lateral surface = (base perimeter x slant height)/2 = (8 x 4)/2 = 16 m^2

surface area = base area + lateral surface = 4 + 16= 20m^2

Answer:

(0.5, 3)

Step-by-step explanation:

i used desmos

Answer:

430 cm squared

Step-by-step explanation:

SA= 2(Length x Base, Base x Height, Height x Length)

15cm x 5cm +

15cm x 7xm +

7cm x 15cm =

215cm

215cm x 2 = 430 cm squared.

(it's perimeter of a 3D object so it must be squared, then volume would be cubed)

I hope this helps <3

Answer:D

Step-by-step explanation:

Because the rate of change is 6, and D shows us 6/1 which equals 6.

Answer:

√(3)/3

Step-by-step explanation:

cos(A) = adj./hyp.

adj. = √(3) or √(3)/2

hyp. = 2 or 1

use unit circle:

hyp. = 1

adj. = √(3)/2

use pythagorean theorem c² - b² = a²

1² - (√(3)/2)² = 1 - 0.75 = 0.25

a² = 0.25

a = √(0.25)

a = 0.5

tan(A) = opp./adj.

tan(A) = 0.5/(√(3)/2)

tan(A) = 1/√(3)

rationalize

tan(A) = √(3)/3

Answer:

A=153

Step-by-step explanation:

Small Base - a=10

Small Base - b=10+7+7=24

Height - h=9

[tex]A=\frac{a+b}{2} h=\frac{9(10+24)}{2}=153[/tex]

Answer:

$270.

Step-by-step explanation:

Answer:

18 children weighed less than 50 pounds.

Step-by-step explanation:

Ok, adding into the explanation what the heck this kind of a table is. The "stem" column is the tens place of each of the children's weights. The "leaf" is the ones digit of each of the children's weights. So in the row where the stem is 2, there were 2 kids weighing 23 and 25 pounds.

For your question, we have to add up how many students have a weight with a "stem" less than 5, because that's where 50 pounds starts.

8 + 2 + 5 + 3 = 18 children weighed less than 50 pounds.

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