The cone shaped roof has the height of 30ft and the radius of 15ft find it's lateral area and the surface area

The exponential equation that gives the number of bees in week 12 is of:

[tex]y = 4(3)^{11} = 708588[/tex]

It is modeled by:

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

In which:

In this problem, considering that the initial week is the first, and the value triples every week, the expression for the number of bees after x weeks is given by:

[tex]y = 4(3)^{x - 1}[/tex]

Hence, after 12 weeks, the expression is:

[tex]y = 4(3)^{11} = 708588[/tex]

More can be learned about exponential equations at https://brainly.com/question/25537936

Answer:

4 • 3^11

Step-by-step explanation:

Answer:

Find the circumference,

C = 2πr

Where 'π' is pi (3.14 or 22/70, and 'r' is the radius.

To find the radius of a diameter, you must the half of the diameter:

Diameter/2 = radius

6/2 = 3 is the radius.

Plug this into our formula;

C = 2πr

C = 2 x 3.14 x 3

C = 6.28 x 3

C = 18.84 feet.

Answer:

HCF = 90

Step-by-step explanation:

Hope it Helps!!!

Answer:

[tex] \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} }[/tex]

[tex]LHS = \displaystyle{ \sqrt{ \frac{1 + cos \: {30}^{ \circ} }{1 - cos \: {30}^{ \circ} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{1 + \frac{ \sqrt{3} }{2} }{1 - \frac{ \sqrt{3} }{2} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{ \frac{2 + \sqrt{3} }{2} }{ \frac{2 - \sqrt{3} }{2} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } } }[/tex]

[tex] \displaystyle{ \sqrt{ \frac{(2 + \sqrt{3} {)}^{2} }{4 - 3} } }[/tex]

[tex] \displaystyle{2 + \sqrt{3} }[/tex]

[tex]RHS = sec \: {60}^{ \circ} + tan \: {60}^{ \circ} [/tex]

[tex] = 2 + \sqrt{3} [/tex]

[tex] \rm\therefore{LHS=RHS,proved. }[/tex]

Answer: 15

Step-by-step explanation:

Answer:

9 doller

Step-by-step explanation:

we will find 20 percent of 46.69

is=pxw divided by 100

=9.338

or 9 doller

Answer:

a set of numbers that are used to find the hypotenuse

Step-by-step explanation:

brainliest

The integer solutions to the Pythagorean theorem, are called Pythagoras triples.

The integer solutions to the Pythagorean theorem, [tex]a^{2} +b^{2} =c^{2}[/tex] are called Pythagorean triples which contains three positive integers a, b and c.

For example:

(3, 4, 5)

By evaluating we get

[tex]3^{2} +4^{2} =5^{2}[/tex]

⇒ 9 + 16 = 25

Hence, 3, 4 and 5 are Pythagorean triples.

Learn more about Pythagorean Triples here:

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For one year, plan B would be recommended, because it would be cheaper.

An equation is an expression that shows the relationship between two or more numbers and variables.

The cost of plan A is given by f(x) = 50x + 199 and the cost of plan B is given by g(x) = 90x + 50

For one year, plan B would be recommended, because it would be cheaper.

Find out more on equation at: https://brainly.com/question/2972832

Answer: Plan A

Step-by-step explanation:

f(x) = 50x + 199 = A

g(x) = 90x + 50 = B

Plan A = (1,249) (2, 299) (3,349) (4,399) (5,449) (6,499)

Plan B = (1, 140) (2, 230) (3, 320) (4,410) (5, 500) (6, 590)

Plan A would be recommended because plan A you pay the least amount = 499 dollars over 6 months versus 590 dollars over 6 months with plan B.  

Answer:

half a circle

In order to balance the equation, John should multiply the second side of the equation by s.

Why?

Remember the Golden Rule of Algebra:-

[tex]\bigstar{\boxed{\sf{Whatever~you~do~to~one~side,~you~do~to~the~other.}}[/tex]

So if you multiply 1 side of the equation by s, you multiply the second side by s.

Please tell John about the Golden Rule of Algebra ;)

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

[tex] \displaystyle{ \frac{x + 4}{x - 4} + \frac{x - 4}{x + 4} = 3 \frac{1}{3} }[/tex]

[tex]\displaystyle{ \frac{ {(x + 4) }^{2} + {(x - 4)}^{2} }{(x + 4)(x - 4)} = \frac{10}{3} }[/tex]

[tex]\displaystyle{ \frac{ {x}^{2} + 8x + {4}^{2} + {x}^{2} - 8x + {4}^{2} }{ {x}^{2} - {4}^{2} } = \frac{10}{3} }[/tex]

[tex]\displaystyle{ \frac{ {2x}^{2} + 16 + 16 }{ {x}^{2} - 16 } = \frac{10}{3} }[/tex]

[tex]\displaystyle{3( {2x}^{2} + 32) = 10( {x}^{2} - 16) }[/tex]

[tex]\displaystyle{ {6x}^{2} + 96 = {10x}^{2} - 160 }[/tex]

[tex]\displaystyle{ {10x}^{2} - 160 = {6x}^{2} + 96 }[/tex]

[tex]\displaystyle{ {10x}^{2} - {6x}^{2} - 160 - 96 = 0 }[/tex]

[tex]\displaystyle{ {4x}^{2} - 256 = 0}[/tex]

[tex]\displaystyle{4( {x}^{2} - 64) = 0}[/tex]

[tex] {x}^{2} - {8}^{2} = \displaystyle{ \frac{0}{4} }[/tex]

[tex]\displaystyle{(x + 8)(x - 8) = 0}[/tex]

[tex]\displaystyle{ \rm{either, \: x + 8 = 0............(1) }}[/tex]

[tex] \rm{or ,\: x - 8 = 0...............(2)}[/tex]

From equation (1)

[tex]x + 8 = 0[/tex]

[tex]x = - 8[/tex]

From equation (2)

[tex]x - 8 = 0[/tex]

[tex]\displaystyle{x = 8}[/tex]

[tex] \therefore{x=±8}[/tex]

Answer:

(0.4x + 6y)²

Step-by-step explanation:

rsm sucks. i have a 5 hour class tomorrow and i hate it but here you go this is the right answer

Answer:

80 Percent

Step-by-step explanation:

Since she has done 6/30 pages, she has 24/30 more pages to complete. Convert 24/30 to a decimal by dividing 24 by 30 to get the percentage, which is 80 percent

Hopefully this helps - let me know if you have any questions!

Answer:

50°

Step-by-step explanation:

In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°

Answer:

Step-by-step explanation:

Scale:- 1box=1units

So

Take one side of each

Scale factor(A to B)

[tex]\\ \rm\rightarrowtail \dfrac{6}{10}=\dfrac{3}{5}[/tex]

#6

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{12}{6}=2[/tex]

Scale factor (B to A)

[tex]\\ \rm\rightarrowtail \dfrac{6}{12}=0.5[/tex]

The age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.

A bar graph can be described as a graphical representation of a data distribution usin bars/bins to display the frequency of a group or data points.

First, find the total number of people at the family reunion:

Total number of people = 8 + 10 + 19 + 15 + 5 + 13 + 3 + 5 = 78 people.

25% of 79 = 25/100 × 78 = 19.5

19.5 is closer to 19.

People in the age group 20 - 29 from the bar graph represents 19 people, therefore, the age group that represents 25% of the people at the family reunion as displayed by the bar graph is: B. 20 - 29.

Learn more about bar graph on:

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Answer: B

Step-by-step explanation: I took the test in K12

Answer:

Acc to ques

7x-3x = 60

x = 15

so they made total of 10x = 150

Answer:

8

Step-by-step explanation:

[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

[tex]y {}^{2} = 4px[/tex]

We know p is 1.5 so we have

[tex] {y}^{2} = 6x[/tex]

[tex] \frac{1}{6 } {y}^{2} = x[/tex]

so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]

Answer:

A. 3.    B. 20

Step-by-step explanation:

2 divided by 2/3 is 2/ 2/3 or  6/2   which is 3.

3 divided by 1/10 is  3/ 1/10 or 30.

Answer:

D should be the answer because the rate of Mason and Evan is 3 pages per a minute because three goes into both like so 30÷10=3 and 12÷4=3. Which is why D is your answer.

The difference between the fraction of the budget for maintenance this year and last year is  5/24.

The first step is to determine the fraction of the budget used for maintenance last year.

Fraction of the budget used for maintenance = 1 - (1/3 + 1/3 + 1/4)

1 - 11/12 = 1/12

The second  is to determine the fraction of the budget used for maintenance this year.

Fraction of the budget used for maintenance = 1 - (1/8 + 1/3 + 1/4)

1 - 17/24  = 7/24

The difference =  7/24 - 1/12

= 5/24

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

Using a system of equations, it is found that the equation that could be used to find the value of b is given by:

3×4−8=b

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

Fatima has 3 packs of batteries. Each pack contains 4 batteries, hence:

b = 3 x 4

She gives her brother 8 batteries to put in his toy robot, hence:

b = 3 x 4 - 8

Which means that the first expression is correct.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

Step-by-step explanation:

B) 9 and 36

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

9 is a common factor of

9 and 36.

Here's why:

6 is not evenly divisible by 9

16 is not divisible evenly by 9 (it is divisible by 8)

All the other numbers are divisible by 9.

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

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer. :)

Answer:

g< 0.0153

Step-by-step explanation:

0.08g +0.2 < 5

0.08g < 5 + 0.2

0.08g < 5.2

g< 0.0153