simply 12(-2x+3)-3x+9(x-9)

Answer:

a) 16.82 mg

b) 24 days

Step-by-step explanation:

Formula for exponential growth is given as:

[tex]A=A_0b^{\frac{t}{c}}[/tex]

Where A is the final population

[tex]A_0[/tex] is the initial population

b is the growth factor

c is the time taken for the growth 'b'

t is the amount of time

Here, We are given the following:

[tex]A_0[/tex] = 5 mg

b = 2 (Given because it doubles)

c = 4 days

a) A = ?

Using the formula:

[tex]A=5 \times 2^{\frac{7}{4}}\\\Rightarrow A=5 \times 2^{1.75} \\\Rightarrow A = \bold{16.82\ mg}[/tex]

b) Given

A = 320 mg

t = ?

Using the above formula again:

[tex]320 = 5 \times 2^{\frac{t}{4}}\\\Rightarrow \dfrac{320} 5= 2^{\frac{t}{4}}\\\Rightarrow 2^{\frac{t}{4}} = 64\\\Rightarrow 2^{\frac{t}{4}} = 2^6\\\Rightarrow \dfrac{t}{4} = 6\\\Rightarrow t = 6 \times 4\\\Rightarrow \bold{t = 24\ days}[/tex]

So, the answers are:

a) 16.82 mg

b) 24 days

Answer:

8m

Step-by-step explanation:

x = hypotenuse since they want the point of observation to the top of the tree

cos 60 = 4/x

x = 4 / cos 60

x = 8m

Answer:

D

Step-by-step explanation:

Just look at the scale and my answer and it will make sense

Answer:

[tex]\Large \boxed{\mathrm{\bold{D.} \ 5.50 \ g}}[/tex]

Step-by-step explanation:

Between numbers lie in the middle of two numbers.

[tex]\sf \displaystyle \frac{5+6}{2} =5.5[/tex]

The number in between 5 and 6 is 5.5.

The mass of the copper metal is 5.50 g.

Answer:

Hey there!

I see you have to right idea, the first step is to write the equation: 6x-15+2x-2+4x-7=180. We can simplify this to 12x-24=180

Solving for x, we get that x=17.

Let me know if this helps :)

The value of x is 17.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180, regardless of whether it is acute, obtuse, or right.

Given:

<S = (6x – 15)°, <T = (2x − 2)°, and <U = (4x – 7).

Now, Using Angle Sum Property

<S+ <T + <U= 180

6x - 15 + 2x -2 + 4x - 7= 180

12x - 24= 180

12x = 204

x= 204/12

x= 17

Hence, the value of x is 17.

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Step-by-step explanation:

The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x

Answer:

10.8

Step-by-step explanation:

AB can be calculated using the formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

The coordinates of A are when x = -2, y = -2

At B, x = 8, y = -6

Let,

[tex] A(-2, -2) = (x_1, y_1) [/tex]

[tex] B(8, -6) = (x_2, y_2) [/tex]

Plug the values into the formula.

[tex] AB = \sqrt{(8 - (-2))^2 + (-6 -(-2))^2} [/tex]

[tex] AB = \sqrt{(8 + 2)^2 + (-6 + 2)^2} [/tex]

[tex] AB = \sqrt{(10)^2 + (-4)^2} [/tex]

[tex] AB = \sqrt{100 + 16} [/tex]

[tex] AB = \sqrt{116} = 10.8 [/tex] nearest tenth

Answer:

The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .

Step-by-step explanation:

Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:

[tex]a\cdot x^{2}+b\cdot x + c = 0[/tex]

Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:

[tex]x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

Given that [tex]a = 1[/tex], [tex]b = 6[/tex] and [tex]c = 10[/tex], the roots of the polynomial are, respectively:

[tex]x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}[/tex]

[tex]x_{1,2} = -3\pm i[/tex]

[tex]x_{1} = -3+i[/tex]

[tex]x_{2} = -3 -i[/tex]

The solution set of the quadratic function [tex]x^{2}+6\cdot x +10[/tex] is [tex]\{-3+i,-3-i\}[/tex] .

Answer:

5x^2+1

Step-by-step explanation:

2x^2 and 3x^2 are like terms so just add them which gives 5x^2.

2 and -1 are like terms so combine them to make 1.

Answer:

5x²-1

Step-by-step explanation:

We are given the expression:

[tex]2x^2+2 + 3x^2- 1[/tex]

and asked to simplify.

To simplify this expression, we must combine like terms.

2x²⇒ this has a variable, x²

2⇒ no variable

3x²⇒this has a variable, x²

-1⇒ no variable

Group the like terms.

[tex](2x^2 + 3x^2)+(- 1+2)[/tex]

Add 2x² and 3x². Add the coefficients and add an x² on the end.

[tex](2+3)x^2+(-1+2)[/tex]

[tex](5)x^2+(-1+2)[/tex]

[tex]5x^2+(-1+2)[/tex]

Combine -1 and 2.

[tex]5x^2+(-1)[/tex]

[tex]5x^2-1[/tex]

The expression 2x²+2+3x²-1 simplified is 5x²-1

Answer:

6

Step-by-step explanation:

Answer: Hi!

To make an expression that represents ten and a number being divided (hence, quotient) we will use the variable x for the unknown number:

10 ÷ x

You would use this expression to represent the quotient of 10 and a number.

Hope this helps!

The quotient of 10 and a number​ is equal to [tex]\frac{10}{n}[/tex].

In Mathematics, quotient simply means division i.e the division of a particular number by another number.

In this exercise, you will simply divide the value of 10 by n.

Therefore, translating the word sentence into an algebraic expression, we have;

Quotient of 10 and a number is:

[tex]Quotient = \frac{10}{n}[/tex]

Read more: https://brainly.com/question/22970937

Answer:

Product 1, because the function is exponential.

Step-by-step explanation:

If you take set the equation to 9 years. You will see that product one would be 2^9 = 512 and Product 2 would be 9^2 + 12 = 93. Product one will continue to grow exponentially while Product two will not grow as much in comparison.

Answer:

Product 2, because the function is exponential

Step-by-step explanation:

i got it right on my quiz

Answer:

The difference between an expression and an equation is that an expression has no equal sign whereas an equation does.

Step-by-step explanation:

Answer:

(D) [tex]3 \pm i\sqrt{3}[/tex]

Step-by-step explanation:

We can solve this using the quadratic formula, where a is 1, b is -6, and c is 12.

[tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\frac{-(-6)\pm\sqrt{6^2-4\cdot1\cdot12}}{2\cdot1}\\\\\frac{6\pm\sqrt{36-48}}{2}\\\\\frac{6\pm\sqrt{-12}}{2}\\\\\frac{6\pm i\sqrt{12}}{2}\\\\3\pm i\sqrt{3}\\\\[/tex]

Hope this helped!

Let's assume that total employees are x .

Three - fifths of x is female employees .

→ Female employees = 3x/5 .

Then male employees will be :-

→ Male employees = x - 3x/5

So male employees are 2x/5 .

→ Employees under 18 = x/4

→ Female under 18 = one - third of total female employees.

→ Female under 18 = 3x/5 (1/3)

So Female employees under 18 are x/5 .

→ Now male under 18 = x/4 - x/5

Now male above 18 are = 2x/5- x/20

Ratio of Male above 18 : Male below 18

→ 7x/20 : x/20

→ 7 : 1

So the ratio is 7 : 1 .

Answer:

The answer is

Step-by-step explanation:

The area of the flower bed is larger than 10 square feet.

Hope this helps....

Have a nice day!!!!

Answer:

((-1, 2), (1, 3), (1, 5), (-3, 4))

Step-by-step explanation:

For a set of ordered pairs to be considered a function, a domain value should have exactly just 1 range value.

If a domain value is having more than 1 range value assigned to it, it is not a function. In order words, an x variable value should have exactly just one y variable value assigned to it.

x variables are domain values while y variables are the range values.

In the ordered pairs, ((-1, 2), (1, 3), (1, 5), (-3, 4)), the two pairs, (1, 3), (1, 5), have the same x variable value with different y-variable values assigned to each. This renders the set of ordered pairs not to be a function. Domain value 1, is having different range value of 3 and 5.

Answer:

B

Step-by-step explanation:

∠ c  = 90° ( angle in a semicircle ), thus

d = 180° - (16 + 90)° = 180° - 106° = 74° ( angles in a Δ )

If one angle is 16° then the measure of angle d is 76°.

An angle is the figure formed by two rays called the sides of the angle, sharing a common point called the vertex of the angle.

We know that each angle of a rectangle and square is equal to 90°. When we observe the given figure then we can see that angles are formed in a rectangle and a,b,c,d,14 and 16 all are in rectangle, so in this way, 14°+d=90°.

d=90-14

d=76°

Hence if one angle is 16° then the measure of angle d is 76°.

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Answer:

its correct

Step-by-step explanation:

check

Answer:

440m

Step-by-step explanation:

First you would square root the value 12100 to get one of the length of the square.

[tex]\sqrt{121000}[/tex]=110m

A square has four sides so,

110*4=440m

Answer:

440m

Step-by-step explanation:

Formula of a square's field : a square

So, area is 12,100. Then, let's take this value into the square root.

Now, we found the one edge of this square which is 110m

For finding perimeter, a square has a 4 edge. So, we multiple 110 x 4 = 440m.

Answer:

I think 3. The other 2 legs can have the same balance as the different leg.

There will be 3 legs in the chair.

Here,

We want to build a chair that does not rock from side to side when one of the legs is a different length than the others.

We have to find how many legs should the chair have.

How to find balanced position of an object with respect to their mass?

We can find it after observing the center of mass which is a position defined in respect  to an object . It is the average position of all the particles of the system, placed according to their masses.

Now,

In order to make non rocked chair from side which has one leg of different length.

We have to place one leg in opposite side of legs of equal lengths to balance the chair.

So, there will be 3 legs in the chair.

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Answer:

4 (c - 6)

Step-by-step explanation:

Simplify the following:

6 c - 2 c - 16 - 8

Hint: | Group like terms in 6 c - 2 c - 16 - 8.

Grouping like terms, 6 c - 2 c - 16 - 8 = (6 c - 2 c) + (-8 - 16):

(6 c - 2 c) + (-8 - 16)

Hint: | Combine like terms in 6 c - 2 c.

6 c - 2 c = 4 c:

4 c + (-8 - 16)

Hint: | Evaluate -8 - 16.

-8 - 16 = -24:

4 c + -24

Hint: | Factor out the greatest common divisor of the coefficients of 4 c - 24.

Factor 4 out of 4 c - 24:

Answer: 4 (c - 6)

Answer: B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Boys : Girls = 7 : 8

Let the number of boy = 7x

The number of girls = 8x

Number of boys after 20% increase = 120% of 7x

                                                            = 1.2 * 7x

                                                             = 8.4 x

Number of girls after 10% increase = 110% of 8x

                                                           = 1.1 * 8x

                                                           = 8.8x                    

After increase in number of boys & girls = 8.4x : 8.8x

                      = 84 : 88    { reduce to simplest form by giving by 4th table}

                     = 21 :  22

Answer:

1. 5/9

2. 8/6 or 1 and 2/6

3. 1 3/4

4. 7/9

Answer:

7.3

Step-by-step explanation:

Tenth is the first digit after decimal sign

Given number is:

Since the next digit after the tenth digit is 9>5, we add 1 to tenth digit and drop the rest digits on the right of digit 2

So we get:

Hi,  

a line is define by  the following equation :    y = ax+b

where  a  is the slope, and  b the value for x = 0

so you have :        a*3 +b = 3   for the first point

                              a*(-5) +b = 4  for second point  

  so you have a system :      3a+b =3

                                              -5a+b = 4

so :       3a+b -(-5a) -b = 3-4

             3a+5a +b-b = -1

             8a = -1

                a = -1/8

then a = -1/8   so , in remplacing a  by it's  value  in one equation ,   b  is :             3(-1/8) +b = 3

 -3/8 +b = 3

           b = 3 +3/8

           b =  24/8 +3/8

          b =  27/8

let's check :     3 (-1/8) + 27/8 =  -3/8 +27/8 = 24/8 = 3

first point is correct  

                         -5( -1/8) + 27/8 =  5/8 +27/8 =  32/8 = 4

second point is correct  

line  is  y = -1/8X +27/8

Answer:

150.72 units³

Step-by-step explanation:

volume = πr²h

= 3.14×4²×3

= 150.72

Answer:

complete graph

Step-by-step explanation:

In the mathematical field of graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a directed graph in which every pair of distinct vertices is connected by a pair of unique edges

hope it helps :)

please mark it the brainliest!

Answer:

it would be a complete graph

Step-by-step explanation:

Answer:

x=-2

Step-by-step explanation:

Vertical lines are of the form x=

The x coordinate is -2

x=-2

Answer:

Approximately 18.0.

Step-by-step explanation:

To find x, we can use the Law of Cosines.

The Law of Cosines is the following:

[tex]c^2=a^2+b^2-2ab\cos(C)[/tex]

Now that the c is the side we're trying to find. Thus, the c is x. Also, Angle C is the angle opposite to c (or x). a and b are the two sides next to Angle C.

Plug in x for c, 16 for a, 30 for b, and 30 for Angle C:

[tex]x^2=(16)^2+(30)^2-2(16)(30)\cos(30)\\x^2=1156-960\cos(30)\\x=\sqrt{1156-960\cos(30)} \\x\approx18.0171[/tex]

(Use a calculator. Make sure you're in degree mode!)

Answer:

18

Step-by-step explanation:

to be more precise from the answer above :)

bc i know people will type 18.0 in the box when it's actually 18.