The hanger image below represents a balanced equation.
3
5
2
Write an equation to represent the image.

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16

Answer:

[tex]\frac{9}{a - b}[/tex].

Step-by-step explanation:

a^2 - b^2 = 9

(a + b)(a - b) = 9

a + b = [tex]\frac{9}{a - b}[/tex].

ab = 3

a = 3/b

3/b + b = [tex]\frac{9}{\frac{3}{b} -b}[/tex]

3 + b^2 = [tex]\frac{9b}{\frac{3}{b}-\frac{b^2}{b} }[/tex]

3 + b^2 = [tex]\frac{9b}{\frac{3-b^2}{b} }[/tex]

3 + b^2 = [tex]9b * \frac{b}{-b^2 + 3}[/tex]

3 + b^2 = [tex]\frac{9b^2}{-b^2 + 3}[/tex]

(b^2 + 3)(-b^2 + 3) = 9b^2

-b^4 + 9 = 9b^2

b^4 + 9b^2 - 9 = 0

Let's say that b^2 = x

x^2 + 9x - 9 = 0

Hope this [somewhat] helps!

Answer:

Step-by-step explanation:

a²-b²=9

ab=3 then a=3/b

a²-b²=9

(a+b)(a-b)=9 ( the values has to b (3*3) or (9*1)

but since ab=3. so the value has to be (3*3)

(a+b)(a-b)=9

3*3=9

a+b=3

ab=3

Answer:

The ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.

Step-by-step explanation:

The question is:

A company knows that if it produces "x" monthly units its utility "u" could be calculated with the expression: u (x) = - 0.04x ^ 2 + 44x-4000 where "u" is expressed in dollars. Determine the ratio of the average change in profit when the level of production changes from 600 to 620 units per month. Remember that the slope of the secant line to the graph of the function represents the average rate of change.

Solution:

The expression for the utility is:

[tex]u (x) = - 0.04x ^ {2} + 44x-4000[/tex]

It is provided that the slope of the secant line to the graph of the function represents the average rate of change.

Then the ratio of the average change in profit when the level of production changes is:

[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]

Compute the values of u (x₁) and u (x₂) as follows:

x₁ = 600

[tex]u (x_{1}) = - 0.04x_{1} ^ {2} + 44x_{1}-4000[/tex]

         [tex]= - 0.04(600) ^ {2} + 44(600)-4000\\=-14400+26400-4000\\=8000[/tex]

x₂ = 620

[tex]u (x_{2}) = - 0.04x_{2} ^ {2} + 44x_{2}-4000[/tex]

         [tex]= - 0.04(620) ^ {2} + 44(620)-4000\\=-15376+27280-4000\\=7904[/tex]

Compute the average rate of change as follows:

[tex]\text{Average change in profit}=\frac{u(x_{2})-u(x_{1})}{x_{2}-x_{1}}[/tex]

                                      [tex]=\frac{7904-800}{620-600}\\\\=\frac{-96}{20}\\\\=-\frac{24}{5}\\\\=-24:5[/tex]

Thus, the ratio of the average change in profit when the level of production changes from 600 to 620 units per month is -24 : 5.

Answer:

arc KL=minor arc

arc LJK=major arc

Step-by-step explanation:

so minor arc is a arc which is larger than a semicircle .

a major arc is a circle having measure less than radians.

Answer:

The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)

Step-by-step explanation:

The cosine function equation is given as follows h = d + a·cos(b(x - c))

Where:

[tex]\left | a \right |[/tex] = Amplitude

2·π/b = The period

c = The phase shift

d = The vertical shift

h = Height of the function

x = The time duration of motion of the wave, t

The given data are;

The amplitude [tex]\left | a \right |[/tex] = 2 feet

Time for the wave to pass the dock

The number of times the wave passes a point in each cycle = 2 times

Therefore;

The time for each complete cycle = 2 × 30 seconds  = 60 seconds

The time for each complete cycle = Period = 2·π/b = 60

b = π/30 =

Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have

h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)

The cosine function is h = 2·cos((π/30)·t).

Answer:

825 or 500

Step-by-step explanation:

Depends, if it is talking about just an up-down, it is 500, but if it is just distance in general, it would be 825 because 325+500=825

Hope this will help

Answer:

A, B, D, and E

Step-by-step explanation:

recall that the inverse functions verify the identity rule that one function applied on the other will render the identity "x". It is like launching a function from a value x, and then taking the trip back to the value that originated it.

Such also implies that the domain where you started becomes the Range of the function that makes the trip back. And of course, its reciprocal: The Range of the starting function becomes the Domain of the function that gets back.

Therefore, andswers A, B, D and E are correct answers

Answer:

[tex]30x^2y^4z^4[/tex]

Step-by-step explanation:

If we multiply 6x by 5x, we get [tex]30x^2[/tex].

If we multiply y by [tex]y^{3}[/tex], we get [tex]y^{4}[/tex].

z stays the same, since it's not being multiplied by anything.

Hope this helped!

Answer:

Step-by-step explanation:

Multiply each term:

30x^2y^4z^4

Plz mark me brainliest!!

Answer: 19440 minutes

Step-by-step explanation:

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------

Answer: There are 19440 minutes in 324 hours.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 60 minutes in each hour, we need to multiply the time value by 60. Like this:

324 x 60 = 19440.

Answer:rut

Step-by-step explanation:

Use the law of cosines to solve for side g.

g^2 = e^2 + f^2 - 2*e*f*cos(G)

g^2 = 10^2 + 8^2 - 2*10*8*cos(57)

g^2 = 76.85775 ... make sure your calc is in degree mode

g = sqrt(76.85775)

g = 8.766855

g = 8.8

Answer:

  –90° and 630°

Step-by-step explanation:

The described angle will be -90° plus any integer multiple of 360°. Possible values for the angle are ...

  -90° and 630°

_____

Angles are conventionally measured counterclockwise from the positive x-axis. The angle shown in the attachment is measured clockwise, so represents a negative 90° angle.

Answer:

–90° and 630°

Step-by-step explanation:

The answer above is correct.

Answer:

5/216

Step-by-step explanation:

There are 5 possibilities that Annie will roll a 6 out of 36 possible outcomes and there 6 possible outcomes of Jose rolling doubles out of 36 if you multiply these possibilities 5/36 x 6/36 you get 5/216. Sorry if wrong that's what I put for my test.

Answer:

A. 8 3/4 degrees

Step-by-step explanation:

Alaska temperature dropped from 3 degrees Fahrenheit to twelve and a quarter degrees Fahrenheit below zero

12 1/4°F - 3°F

=8 3/4°F

The temperature dropped by 8 3/4°F

Since HJ is tangent to circle G, it forms a right angle with the radius that intersects it.

This means HG and HG are perpendicular and we have a right angle.

We have a (right) triangle with angle measurements 43 and 90, and we want to find the value of the last angle.

All the angles in a triangle must add up to 180, thus we can create the following equation to find the measurement of the last angle:

[tex]180-90-43[/tex]

[tex]=47[/tex]

The measure of angle G is 47 degrees. Let me know if you need any clarifications, thanks!

Answer:

<G = 47 degrees

Step-by-step explanation:

For this problem, we need to understand two things.  This tangent on the circle, with a line drawn to the center, forms a right angle at H.  Additionally, the sum of the angles of a triangle is 180.  Now with these two things, let's solve.

<G = 180 - (43 + 90)

<G = 180 - 133

<G = 47 degrees

Hope this helps.

Cheers.

Step-by-step explanation:

hope this helps if not well im rlly srry lol

Answer:

D)

[tex]5 \times {10}^{ - 12} [/tex]

Step-by-step explanation:

velocity(v) = distance/time

but distance =

[tex]3 \times {10}^{ - 4} [/tex]

and velocity =

[tex]6 \times {10}^{7} [/tex]

[tex]6 \times {10}^{7} = \frac{3 \times {10}^{ - 4} }{time} [/tex]

[tex]time = \frac{3 \times {10}^{ - 4} }{6 \times {10}^{7} } [/tex]

[tex]time = 5 \times {10}^{ - 12} [/tex]

Answer: [tex]f^{-1}(1)+f(-14)=20[/tex]

[tex]f^{-1}(-2)=10[/tex]  

Step-by-step explanation:

The given table :

x: -14,-7,-12,9,10,-2

f(x):11,-12,5,1,-2,13

Since f is invertible ( given) , then [tex]f^{-1}(x)[/tex]  exists.

Now , from table [tex]f^{-1}(1)=9[/tex]  [ x= 9 corresponding to f(x) =1]

[tex]f(-14)=11[/tex]                            [ f(x) = 11 corresponding to x=-14]

then, [tex]f^{-1}(1)+f(-14)=9+11=20[/tex]

So, [tex]f^{-1}(1)+f(-14)=20[/tex]

Also, x= 10 corresponding to f(x) =-2, then

[tex]f^{-1}(-2)=10[/tex]  

Answer:

slope is 2

Step-by-step explanation:

the equation of linear is y=mx+b, where m is the slope

therefore, m=2 which means the slope is 2

Answer:the slope is 2

Step-by-step explanation:

the equation y=mx+b represents m as the slope.

Answer:

The answer is 11 300.06

[tex](4 \times 1000) + (3 \times 100) + (6 \times \frac{1}{100}) + (7 \times 1000) [/tex]

[tex] = 4000 + 300 + \frac{6}{100} + 7000[/tex]

[tex] = 11 \: 300 + 0.06[/tex]

[tex] = 11 \: 300.06[/tex]

Answer:

C

Step-by-step explanation:

The required graph has been attached below which shows the boat's value decreasing at a rate of 40% per year.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A boat's value over time is given as the function f(x) and graphed below.  A(x) = 400(b)ˣ + 0 as the parent function.

Given that the boat's value decreases at a rate of 40% per year.

So after each year, the value becomes = 1 - 40% = 1 - 0.40 = 0.60 of the previous year.

So the equation becomes: A(x) = 400(0.60)ˣ + 0

Since, b = 0.60 < 1, so A(x) is a decreasing function. And for every value of x, A(x) > 0.

The attached graph meets these requirements.

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

Step-by-step explanation:

This is a sequence of divide by 2 or half of the number so 32 16 8 4 2 1

Answer:

22% of the two classes were elected to the student committee

Step-by-step explanation:

Given

class 9 : class 10 = 3:2 = 60% : 40%

Total fraction = 60% * 30% + 40% * 10% = 18% + 4% = 22%

Answer:

l0^4

2 (2)^4

I'm sorry if my answer is not helping

Answer:

The answer is B

Answer: B

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

All you need to do is find which of following is a whole number or integer.

Answer:

A, B, C

Step-by-step explanation:

x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C

Answer: A, B, C

Answer:

[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]

[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]

Step-by-step explanation:

Look at the picture

Answer:

Step-by-step explanation:

The box encloses data between the two quartiles, namely at least half of the data.  If there are 40 schools, then half of them would be in the box, between 1 and 6.

see attached plot.

Answer:

really hard to tell what the box plot is like without an attachment so im gonna help u find it out anyway

Step-by-step explanation:

basically when u look at a  box plot and the range the line in the middle is the median  and then the max the lowest range the lower quartile and then the higher quartile you can find ur anser, simply find the median first, find where the lower quartile is and then the lowest number in the group thats in betweeen 1 and 6

Answer:

m<R=48.2 to the nearest tenth

Step-by-step explanation:

1. sin(m<T)=2/3

m<T=arcsin(2/3)=41.81 degrees

m<R=180-90-m<T=180-90-41.81=48.19 degrees

Answer:

8/9

Step-by-step explanation:

2/3 + 1 / ( 2 2/5) - 1/x = 1/3 -  1 / ( 2 2/3)

Changing to improper fractions

2 2/5 = ((5*2+2) / 5 = 12/5

2 2/3 = ( 3*2+2) /3 = 8/3

2/3 + 1 / ( 12/5) - 1/x = 1/3 -  1 / ( 8/3)

1 over and improper fraction flips the improper fraction  1 / ( a/b) = b/a

2/3 + 5/12 - 1/x = 1/3 -3/8

Subtract 2/3 from each side

5/12 -1/x = 1/3 -2/3 -3/8

5/12 -1/x =  -1/3 -3/8

Subtract 5/12 from each side

-1/x =  -1/3 -3/8-5/12

Multiply each side by 24 to get rid of the fractions

-24/x = -24/3 -3*24/8 -5*24/12

-24/x = -8 -9 -10

-24/x = -27

Multiply each side by x

-24 = -27x

Divide by -27

-24/-27 =x

8/9 =x

We have

[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]

[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]

[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]

So

[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]

is equivalent to

[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]

which reduces to

[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]